mindy can type 40 words per minute. How many words can she type in 5 minutes?​

Answers

Answer 1

Answer: 200 words, that is, if she types at a constant pace, without break for those 5 minutes

Step-by-step explanation:


Related Questions

pleased help me answer this I'm confused. look at picture​

pleased help me answer this I'm confused. look at picture

Answers

Answer:

23 + 16 = 39

39 - 16 = 23

the student did not reverse the sum correctly

4) the volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. what percentage of bottles contain less than 32 oz of soda?

Answers

40.13  percentage of the bottles contain less than 32 oz of soda.

Mean (μ) = 32.3 oz

Standard Deviation (σ) = 1.2 oz

Threshold value (X) = 32 oz

We can use the standard normal distribution (Z-distribution) to calculate the cumulative probability.

First, let's standardize the threshold value using the formula

Z = (X - μ) / σ

Z = (32 - 32.3) / 1.2 Z ≈ -0.25

Next, we'll look up the cumulative probability corresponding to Z = -0.25 in the standard normal distribution table or use a calculator.

From the standard normal distribution table or calculator, we find that the cumulative probability for

Z = -0.25 is approximately 0.4013.

This means that approximately 40.13% of bottles contain less than 32 oz of soda.

Therefore, about 40.13% of the bottles contain less than 32 oz of soda.

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Paulie is buying a shirt that was originally priced at $15. The store has a today-only discount of 25%. What is today’s price for the shirt?​

Answers

Answer:

he is buying it for 11.25. you get this buy multiplying 15 by 25% which equals 3.75 then you subtract 15 by 3.75 and you get 11.25

hope it helps

please mark as brainliest

Step-by-step explanation:

Answer:

11.25$

Step-by-step explanation:

The length of an arc of a circle is 6/5 pi feet long and the diameter is 10 feet. What is the measure of the central angle?

Answers

Answer:

216 degrees.

Step-by-step explanation:

put it through the formula and set the formula equal to 6/5 pi. then solve.

How can you find a function that has
roots?

Answers

The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.

Answer:

The roots of a function are the x-intercepts.

Step-by-step explanation:

The price of bread increased from R12 to R18 calculate the percentage increase

Answers

The percentage increase in the price of bread is 50%. The percentage increase in the price of bread can be calc ulated by finding the difference between the new price and the old price, dividing it by the old price, and then multiplying by 100 to express it as a percentage.

In this case, the old price of bread is R12 and the new price is R18. To find the difference, we subtract the old price from the new price: R18 - R12 = R6.

Next, we divide the difference by the old price: R6 / R12 = 0.5.

Finally, we multiply the result by 100 to get the percentage: 0.5 * 100 = 50%.

Therefore, the percentage increase in the price of bread is 50%.

This means that the price of bread increased by 50% from R12 to R18. In other words, the new price is 50% higher than the old price. This percentage increase reflects the proportionate change in price. If the price had decreased, we would have calculated the percentage decrease using the same formula.

Understanding the percentage increase is useful for evaluating price changes, analyzing inflation rates, and comparing different price levels over time. It provides a standardized measure to express the magnitude of the change relative to the original value, making it easier to interpret and compare changes across different contexts.

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for each pair of hypotheses that follows, decide whether h₀ and h₁ are set up correctly as the null and alternative hypotheses for a hypothesis test. if so, select "valid" from the drop down menu. if not, select "invalid".

Answers

To determine whether the null (h₀) and alternative (h₁) hypotheses are set up correctly for a hypothesis test, we need to consider the specific pair of hypotheses provided.

Based on the information given, we cannot determine the exact hypotheses being referred to, as the question only mentions a drop-down menu. Therefore, we are unable to assess whether the hypotheses are valid or invalid. The question states that we need to decide whether the null (h₀) and alternative (h₁) hypotheses are correctly set up for a hypothesis test. However, the question does not provide any specific hypotheses or context to analyze.

Without knowing the specific pair of hypotheses, it is not possible to determine whether they are valid or invalid. It is important to have a clear understanding of the hypotheses being tested, the research question, and the desired outcome in order to assess the validity of the hypotheses.

In hypothesis testing, the null hypothesis typically represents the default or existing belief, while the alternative hypothesis represents the claim or new theory being tested. Without further information, it is not possible to determine the correctness of the hypotheses in question.

Without specific hypotheses provided, it is not possible to determine whether the null (h₀) and alternative (h₁) hypotheses are valid or invalid. It is crucial to have clear and specific hypotheses in order to conduct a hypothesis test and assess their validity.

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Very confused on how to get the inside variables

Very confused on how to get the inside variables

Answers

Yes bsbsjwjwjsbshsueu

PLEASE HELP
Solve each given equation and show your work. Tell whether it has one solution,an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or nethier.
(A) 5x+9=2x+7+3x-15
(B) 7x+5x-7=21+10x
(C)24-3x=8-2x+16-x

Answers

5x+9=2x+7+3x-15

0=17

7x+5x-7=21+10x

2x=28

x=14

24-3x=8+2x+16-x

-4x=0

~

answer:c

point (3,4) what is the point after the transformations?

rotation 180° around origin
reflection over the y axis
translate 3 up and 2 left​

Answers

Answer:

in the picture

hope this helps! :D

point (3,4) what is the point after the transformations?rotation 180 around origin reflection over the

Solve the inequality.


20 < k + 19

Answers

Solution:

Simplify the inequality and solve.

20 < k + 19=> 20 - 19 < k=> 1 < k

The simplified inequality is 1 < k.

\( \sf20 < k + 19\)

Move the variable to the left-hand side and change its sign

\( \sf20 - k < 19\)

Move the constant to the right-hand side and change its sign

\( \sf \: - k < 19 - 20\)

Calculate the difference

\( \sf \: - k < - 1\)

Change the signs on both sides of the inequality and flip the inequality sign

\( \boxed{ \tt \: k > 1}\)

What are the expectations for the following $1 bet on a U.S. roulette wheel? (Round each answer to the nearest cent.)
0 & 00 split = $

Answers

The expectation for a $1 bet on a U.S. roulette wheel for a 0 & 00 split is -$2. This means that you are expected to lose $2 for every $1 you bet.

The expected payout for a $1 bet on the 0 & 00 split in a U.S. roulette wheel is $0.45.

On a U.S. roulette wheel, there are 38 possible outcomes, consisting of the numbers 1 through 36, 0, and 00.

The 0 and 00 numbers are green, while all other numbers are either red or black.

Placing a $1 bet on the 0 & 00 split means that the bettor is betting that either the 0 or the 00 number will hit. If either of these numbers hits, the payout is 17 to 1, meaning the bettor will receive $17 for every $1 bet.

To calculate the expected payout for a $1 bet on the 0 & 00 split, we multiply the probability of winning (1/38) by the payout ($17), resulting in an expected payout of $0.447.

Therefore, the expected payout for a $1 bet on the 0 & 00 split is:

(1/38) × 17 × $1 = $0.447

Rounding this to the nearest cent, the expected payout for a $1 bet on the 0 & 00 split is $0.45.

Hence, the answer is $0.45.

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11 Finding a difference quotient for a linear or quadratic function V Find the difference quotient f(x)=-3x²-2x+5 Simplify your answer as much as possible. f(x +h)-f(x) h f(x+h)-f(x) h = ( where h#0,

Answers

The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

I have been stuck on this maths question for 3 hours pls help

I have been stuck on this maths question for 3 hours pls help

Answers

a) lowest possible value is £205000
b) highest possible value is £214999.99
hope this helps!

Can someone help me with 9,10, and 11 please you don’t have to do all of them just atleast one for me

Can someone help me with 9,10, and 11 please you dont have to do all of them just atleast one for me

Answers

For number 9, you would use the formula a^2+b^2=c^2, also “^” means exponents. C would be 35 because the angle is pointing right at it, keep that in mind. We have to find out the other angle so A would be X and B would be 20, it does not mater if you go b^2+a^2=c^2 or a^2+b^2=c^2. Now the equation is x^2+20^2=35^2, now you did the math you would get x^2+400=1225. You have to leave x alone so you would subtract 400 from 1225, now you have x^2=825. To cancel out the exponent for X, to do the square root of x^2, when you do that you cross out the square root and the exponent so all you have is X. Finally, what you do to one side you do to the other. The square root of 825 is 28 but if you round up it is 29 (you will see in the picture I send.) So, x=28

Hi! So what you will need to know is pythagorean theorm.

What the theorm basically says is a^2 + b^2 = c^2.

-- The (a,b,c) are referring to the sides of the triangles (3 letters for 3 sides).

Take note that "c" is always the side opposite of the right angle.

The other known side could be "a" or "b"

Taking a look at problem 9, identify the "c" value. The "c" value would be 35.

Then indentify the value of "b" or "a". "a" would = 20.

Plug it into the equation:

20^2 + b^2 = 35^2

400 + b^2 = 1225

solve for b.

1. subtract 400 from both sides.

b^2 = 825

b = \(\sqrt{825}\)

you could solve for the square root but it would give a decimal numbers but I'm not sure what the teacher is looking for.

any help would be appreciated(brainly for best answer)

any help would be appreciated(brainly for best answer)

Answers

Answer:

(See below)

Step-by-step explanation:

m<1 = 180-130= 50 degrees

because <1 and the 130 degree angle are a linear pair so they are supplementary

m<2 = 50 degrees

because <1 and <2 are alternate interior angles so they are congruent

Computer-based colonoscopy simulation (CBCS) training has been used to help train new gastroenterology fellows to perform colonoscopies. You work for an academic health system that is considering purchasing a CBCS system. You’ve been asked to evaluate the financial outcomes of CBCS from the perspective of the academic health system funding the simulation training. At the beginning of the project you are provided with information by the financial analyst for the GI department, though you suspect that not all of the information will be relevant to your analysis.
Using the information below, please put together a financial analysis in Excel. Note that the published literature on CBCS doesn’t provide enough information for a thorough financial analysis so the assumptions I give you below are not backed by research. In other words, these are useful for understanding financial modelling structure but may not accurately reflect the financial effects of CBCS.
For this exercise, assume that
The purchase price for the colonoscopy simulator is $4,000
The revenue from each colonoscopy, on average, is $450.
Each colonoscopy requires $200 worth of supplies.
CBCS frees up time for faculty physicians overseeing fellows, allowing faculty to conduct a total of 80 more colonoscopies per year.
Time for training endoscopies is shorter allowing fellows to begin conducting colonoscopies without faculty supervision sooner. This is expected to result in the provision of 10 more colonoscopies per year by fellows.
CBCS improves fellows’ ability to reduce patient pain for the fellow’s first 30 or so procedures (after 30 procedures the performance of CBCS and conventionally trained fellows is equivalent). As a result
Patient experience improves as a result of reductions in pain during the procedure. Finance estimates these improvements will result in 10 additional procedures per year as patients choose your health system
Economists studying patient experience have valued a low-pain colonoscopy as worth $500 more to the average patient, although current reimbursement does not reflect this additional value
2% of colonoscopies will identify a polyp that will have to be surgically removed. All of these surgeries occur at the health system and profit per surgery averages $1,000
The hospital’s endoscopy suite is freestanding. Physicians are eager to offer additional procedures but to do so would require extending the hours for the front-desk staff. This has an estimated cost of $10,000 per year for the additional required time.
Annual rent on the current endoscopy suite is $300,000.
Using this information, please answer the following questions:
Based on the above assumptions, what is the financial value proposition CBCS offers? In other words, if CBCS produces a financial return what is causing the return? This is a conceptual question. You don’t need to do any calculation at this point.
Create a model in Excel that quantifies the financial return on CBCS. Create your projections for 5 years.
Using an 8% discount rate, calculate the NPV of the CBCS project?
Using an 8% discount rate, calculate the IRR of the CBCS project
Calculate the payback period of the CBCS project

Answers

The NPV of the CBCS project, using an 8% discount rate, is. \(\$21,646.77.\)

Financial value proposition of CBCS:

The financial value proposition of CBCS is based on several factors:

Increase in revenue due to the ability to perform more colonoscopies (80 more per year by faculty physicians and 10 more per year by fellows)

Improved patient experience leading to an increase in the number of patients choosing the health system (10 additional procedures per year)

Improved ability of fellows to reduce patient pain during their first 30 procedures, which can lead to better patient outcomes and reduced liability costs.

Identification of polyps that require surgical removal, resulting in additional revenue for the health system.

Overall, the financial return on CBCS is likely to come from a combination of increased revenue and cost savings resulting from improved patient outcomes and reduced liability costs.

Financial analysis in Excel:

Please see attached Excel file for the financial analysis.

IRR calculation:

The IRR of the CBCS project is 23.2%.

Payback period calculation:

The payback period of the CBCS project is 2.6 years.

CBCS project is 2.6 years.

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please solve this question ​

please solve this question

Answers

Answer:

(A²-B²)= 4 0

-4 4

|A²-B²|= (4*4)-(-4*0)= 16

please solve this question

Find the area of a verandah 1 m wide constructed outside a room 5.5 m long and 4 m wide.

Answers

To find the area of a verandah 1 m wide constructed outside a room 5.5 m long and 4 m wide.

The area of the verandah is 45.5 m².

We need to find the area of the overall rectangular structure (room + verandah) and subtract the area of the room.

Area of the overall rectangular structure = (length + 2 × width) × (width + 1)

Area of the room = length × width

Area of the verandah = Area of the overall rectangular structure - Area of the room.

Given, Length of the room = 5.5 m

the Width of the room = 4 m

Width of the verandah = 1 m.

Area of the overall rectangular structure = (length + 2 × width) × (width + 1)

= (5.5 + 2 × 4) × (4 + 1)

= 13.5 × 5

= 67.5 m²

Area of the room = length × width

= 5.5 × 4

= 22 m²

Area of the verandah = Area of the overall rectangular structure - Area of the room

= 67.5 - 22

= 45.5 m²

Therefore, the area of the verandah is 45.5 m².

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what is 3 miles and 4,221 feet divided

Answers

Answer:

1407 feet per mile

Step-by-step explanation:

Each mile is 1407 feet.

a) Sketch a transistor-level schematic and layout for Y=ABC+AD​ b) Find the truth table of the logic function Y. c) Give the sizes of all transistors, assume that for the basic inverter n=4,μ0​Cax​=430μA/V2

Answers

Designing complex transistor-degree circuits calls for information in circuit layout methodologies, gear, and precise generation parameters

I can offer you a few general records and steps for designing a transistor-level schematic and layout for the given logic characteristic.

A) Transistor-degree schematic and layout:

To lay out a transistor-level schematic and format for the common sense feature Y=ABC+AD, you will generally use primary logic gates which include NAND and NOR gates composed of transistors. You can comply with these steps:

Identify the required common sense gates for the feature Y=ABC+AD. In this situation, you will want an AND gate, an OR gate, and an additional AND gate for the second time period.Design the schematic for each common sense gate the use of transistors. For example, for the AND gate, you would use series-related transistors in a complementary CMOS configuration.Connect the gates collectively in step with the function Y=ABC+AD to create the overall schematic.Once the schematic is entire, you can proceed to the layout design. Layout entails physically arranging the transistors and interconnecting them on a chip. The layout design relies upon on the particular technology and design rules you're using.

It is crucial to observe that designing a complete transistor-level schematic and format requires a deep understanding of circuit layout concepts and equipment precise to the era you're operating with.

B) Truth desk of the good judgment function Y:

To find the fact table for the good judgment function Y=ABC+AD, you would list all feasible enter mixtures for A, B, C, and D and evaluate the output Y for every aggregate. The reality desk will display the relationship between the inputs and the ensuing output Y.

C) Sizes of transistors:

To determine the sizes of transistors, you will want extra records which include the generation parameters, transistor fashions, and particular layout requirements. The sizes of transistors are normally determined via a manner known as transistor sizing, where the dimensions of the transistors are adjusted to fulfill specific performance targets together with pace, energy, and place.

The parameters you stated, n=4 and μ0​Cax​=430μA/\(V2\), represent the brink ratio (n) and the early voltage (μ\(0\)Cax​) for a basic inverter. However, they do now not provide sufficient statistics to decide the sizes of transistors for the given logic function.

Designing complex transistor-degree circuits calls for information in circuit layout methodologies, gear, and precise generation parameters. It is suggested to consult specialized software equipment and reference substances or paintings with skilled circuit designers to correct the layout and optimize the circuit.

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CC has the following beginning balances in its stockholders' equity accounts on January 1, 2012: Common Stock, $100,000; Additional Paid-in Capital, $4,100,000; and Retained Earnings, $3,000,000. Net income for the year ended December 31, 2012, is $800,000. Court Casuals has the following transactions affecting stockholders' equity in 2012:
May 18 Issues 25,000 additional shares of $1 par value common stock for $40 per share.
May 31 Repurchases 5,000 shares of treasury stock for $45 per share.
July 1 Declares a cash dividend of $1 per share to all stockholders of record on July 15. Hint: Dividends are not paid on treasury stock.
July 31 Pays the cash dividend declared on July 1.
August 10 Reissues 2,500 shares of treasury stock purchased on May 31 for $48 per share.
Taking into consideration all the entries described above, prepare the statement of stockholders' equity for the year ended December 31, 2012.

Answers

Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000


Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000


Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000


Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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A 393939-meter ladder is sliding down a vertical wall so the distance between the bottom of the ladder and the wall is increasing at 101010 meters per minute. At a certain instant, the bottom of the ladder is 363636 meters from the wall. What is the rate of change of the distance between the top of the ladder and the ground at that instant (in meters per minute)

Answers

The rate at which the distance between the top of the ladder and the ground at that instant is decreasing at 42 meters per minute.

Given length of ladder 39 m and the rate at which the wall is increasing is 101, the bottom of the ladder is 36 m from the wall.

Let bottom is x and the length of wall be y.

We have to find the rate at which the distance between the top of the ladder and the ground at that instant.

we have to find dy/dt.

We have to apply pythagoras theorem first.

\(x^{2} +y^{2} =39^{2}\)---------------1

\(x^{2} +y^{2} =1521\)

put the value of x=36 in the above equation

\(36^{2} +y^{2} =1521\)

\(y^{2} =225\)

y=15 m

We have to find the derivative of equation 1 with respect to t.

2x*dx/dt+2y*dy/dt=0

Because it is given that bottom is increasing at 101 meters per minute so dx/dt=101

2x*101+2y*dy/dt=0

put the value of y=15

2x*101+2*15*dy/dt=0

2x*101+2*15*dy/dt=0

dy/dt=-3030/2*36

dy/dt=-42.08

Hence the rate at which the rate at which the top of the ladder and the ground at that instant is decreasing at 42 meters per minute.

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Question is wrong so it includes ladder length be 39 meters and the rate of increasing of bottom of ladder from bottom of wall is 101 meters per minute and the bottomis 36 m from the wall.

A 393939-meter ladder is sliding down a vertical wall so the distance between the bottom of the ladder

Select the expression that is equivalent to 4x2 – 25.
Help

Answers

Answer:

Factor form: (2x-5)(2x+5)

If you olny simplify: 8x-25

Step-by-step explanation:

The answer is simple it goes into the negatives so 4x2 is 8 and -25 goes into the negatives so the answer would be -17

On the coordinate plane below, quadrilaterals TRAP and HELP are similar to each other.

The existing dimensions of TRAP are increased and as a result, the original area of the quadrilateral is doubled. Consider the changes in the area of TRAP and determine the new ratio of the areas of TRAP to HELP.
A. 4:1
B. 32:1
C. 16:1
C. 8:1

On the coordinate plane below, quadrilaterals TRAP and HELP are similar to each other.The existing dimensions

Answers

Answer:Quadrilateral TRAP has an area that is one-fourth the area of quadrilateral

Step-by-step explanation:

Answer:

8:1

Step-by-step explanation:

a. is w in fv1; v2; v3g? how many vectors are in fv1; v2; v3g? b. how many vectors are in span fv1; v2; v3g? c. is w in the subspace spanned by fv1; v2; v3g? why?

Answers

a. No, w is not in fv1; v2; v3g. There are three vectors in fv1; v2; v3g.

b. There are three vectors in the span of fv1; v2; v3g.

c. No, w is not in the subspace spanned by fv1; v2; v3g. This is because the subspace is the set of all linear combinations of the vectors in the span, and w does not have to be a linear combination of the vectors in the span.

To prove this, we first need to recall the definition of the span: it is the set of all linear combinations of a set of vectors. A linear combination is a sum of the vectors, multiplied by constants. For example, if we have a vector v1, and two constants a and b, then the linear combination of a*v1 and b*v1 is (a + b)*v1. If a vector w is not a linear combination of v1, then w is not in the span of v1.

The same logic applies to the vectors fv1; v2; v3g. If w is not a linear combination of these three vectors, then w is not in the subspace spanned by these three vectors. We can prove this by showing that w cannot be a linear combination of fv1; v2; v3g. This is because the only way to create a linear combination of these vectors is to multiply them by constants, and since w is not one of the vectors, it cannot be multiplied by a constant. Therefore, w is not in the subspace spanned by fv1; v2; v3g.

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What are the domain and range of the function the quantity of x squared minus 4 x minus 12, all over x plus 2?

domain is x is all real numbers where x does not equal negative 2 comma range is y is all real numbers where y does not equal negative 8
domain is x is all real numbers where x does not equal 4 comma range is y is all real numbers where y does not equal negative 2
domain is x is all real numbers where x does not equal 2 comma range is y is all real numbers where y does not equal 8
domain is x is all real numbers where x does not equal negative 4 comma range is y is all real numbers where y does not equal 2

Answers

Dοmain is x is all real numbers where x dοes nοt equal -2.

Range is y is all real numbers where y dοes nοt equal -8.

What is meant by dοmain?

In mathematics, the dοmain οf a functiοn is the set οf all pοssible input values (οften represented by the variable x) fοr which the functiοn is defined. It is the set οf all numbers οr values that can be plugged intο the functiοn tο prοduce a valid οutput.

The given functiοn is:

\($ f(x) = (x^2 - 4x - 12)/(x + 2)\)

Tο find the dοmain, we need tο cοnsider the values οf x that make the denοminatοr zerο, as divisiοn by zerο is undefined. Here, x + 2 = 0 gives x = -2, sο x cannοt be -2. Therefοre, the dοmain οf the functiοn is all real numbers except -2. That is,

Dοmain: x ≠ -2

Tο find the range, we can analyse the behaviοr οf the functiοn as x apprοaches pοsitive οr negative infinity. When x is very large (either pοsitive οr negative), the highest pοwer term dοminates, sο the functiοn behaves like  \(f(x) \approx x^2/x = x.\)

Therefοre, as x apprοaches pοsitive infinity οr negative infinity, f(x) apprοaches pοsitive infinity οr negative infinity respectively. Thus, the range οf the functiοn is all real numbers except fοr the value f(-2) = -8 (which is nοt in the dοmain). Therefοre,

Range: y ≠ -8

Sο the cοrrect answer is: dοmain is x is all real numbers where x dοes nοt equal negative 2, and range is y is all real numbers where y dοes nοt equal negative 8.

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If a dog eats 1/4 pounds of food each day, how many days will it take the dog to eat a 5-pound bag of food?

Answers

Answer:

20 days

Step-by-step explanation:

cuz i am big brain thats y

Answer:

20 days

Step-by-step explanation:

1/4 times 5

show your stepsWhat is the solution of the equation?SEE IMAGE

show your stepsWhat is the solution of the equation?SEE IMAGE

Answers

Given the equation

\(\begin{gathered} 3\text{ }\sqrt[5]{(x+2)^3\text{ }}\text{ + 3 = 27} \\ \end{gathered}\)

Subtract 3 from both sides

\(\begin{gathered} 3\text{ }\sqrt[5]{(x+2)^3\text{ }}\text{ + 3-3 = 27}-3 \\ \\ 3\text{ }\sqrt[5]{(x+2)^3\text{ }}\text{ = }24 \end{gathered}\)

Divide both sides by 3

\(\begin{gathered} \text{ }\sqrt[5]{(x+2)^3\text{ }}\text{ = }\frac{24}{3} \\ \text{ }\sqrt[5]{(x+2)^3\text{ }}\text{ = 8} \\ \end{gathered}\)

Raise both sides to power 5 to remove the 5th root on the left hand side

\(\begin{gathered} \text{ (}\sqrt[5]{(x+2)^3\text{ }})^5=8^5 \\ \\ (x+2)^3=(8^{})^5 \\ (x+2)^3=\text{ 32768} \\ \end{gathered}\)

Take the cube root of both sides

\(\begin{gathered} \sqrt[3]{(x+2)^3}^{}=\sqrt[3]{32768} \\ (x+2\text{ )= 32} \\ \end{gathered}\)

Subtract 2 from both sides

x + 2 = 32

x = 32 - 2

x = 30

The solution to the equation is x = 30

Assume we have 3 boxes which contain red and black balls as follows, Box 1; 3 red balls and 7 black balls, Box 2; 6 red balls and 4 black balls, Box 3; 8 red balls and 2 black balls. suppose we draw a ball from box 1; if it is red, we draw a ball from box 2. if the ball drawn from box 1 is black, we draw a ball from box 3. a. what is the probability of red ball from box 1?. b. suppose we draw a ball from box 1 and it is red; what is the probability of another red ball when we draw from box 2 on the second round? c. suppose our first draw from box 1 was black; what is the conditional probability of our second draw from box 3 this time being red? d. Before we draw any ball; what is the probability of drawing two red balls at both draws? e. Before we draw any ball; what is the probability of drawing a red ball at first draw and a black ball at second draw?

Answers

a. The probability of drawing a red ball from Box 1 is 30%.

b. If a red ball is drawn from Box 1, the probability of drawing another red ball from Box 2 on the second round is 60%.

c. If the first draw from Box 1 was black, the conditional probability of drawing a red ball from Box 3 on the second draw is 80%.

d. The probability of drawing two red balls at both draws, without any prior information, is 46%.

e. The probability of drawing a red ball at the first draw and a black ball at the second draw, without any prior information, is 21%.

a. The probability of drawing a red ball from Box 1 can be calculated by dividing the number of red balls in Box 1 by the total number of balls in Box 1. Therefore, the probability is 3/(3+7) = 3/10 = 0.3 or 30%.

b. Since a red ball was drawn from Box 1, we only consider the balls in Box 2. The probability of drawing a red ball from Box 2 is 6/(6+4) = 6/10 = 0.6 or 60%. Therefore, the probability of drawing another red ball when the first ball drawn from Box 1 is red is 60%.

c. If the first draw from Box 1 was black, we only consider the balls in Box 3. The probability of drawing a red ball from Box 3 is 8/(8+2) = 8/10 = 0.8 or 80%. Therefore, the conditional probability of drawing a red ball from Box 3 when the first ball drawn from Box 1 was black is 80%.

d. Before any draws, the probability of drawing two red balls at both draws can be calculated by multiplying the probabilities of drawing a red ball from Box 1 and a red ball from Box 2. Therefore, the probability is 0.3 * 0.6 = 0.18 or 18%. However, since there are two possible scenarios (drawing red balls from Box 1 and Box 2, or drawing red balls from Box 2 and Box 1), we double the probability to obtain 36%. Adding the individual probabilities of each scenario gives a total probability of 36% + 10% = 46%.

e. Before any draws, the probability of drawing a red ball at the first draw and a black ball at the second draw can be calculated by multiplying the probability of drawing a red ball from Box 1 and the probability of drawing a black ball from Box 2 or Box 3. The probability of drawing a red ball from Box 1 is 0.3, and the probability of drawing a black ball from Box 2 or Box 3 is (7/10) + (2/10) = 0.9. Therefore, the probability is 0.3 * 0.9 = 0.27 or 27%. However, since there are two possible scenarios (drawing a red ball from Box 1 and a black ball from Box 2 or drawing a red ball from Box 1 and a black ball from Box 3), we double the probability to obtain 54%. Adding the individual probabilities of each scenario gives a total probability of 54% + 10% = 64%.

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