HELP PLEASE ASAP!!!!

Use the drop-down menus to complete the sentence.

The sequence 24, 12, 6, 3, 32 , ... has a common
_____________(term,difference,ratio)
, so it
____________ (is, is not)
a geometric sequence.

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Answer:  (2x+3)5

Step-by-step explanation:

The equation of the quadratic function is: f(x) = 3x² - 18x - 48

To find the equation of a quadratic function in standard form, we need to use the zeros of the function and one additional point.

Given that the zeros are x = 8 and x = -2, we can write the equation in factored form as:

f(x) = a(x - 8)(x + 2)

To find the value of "a," we can use the fact that f(2) = -72.

Substituting x = 2 into the equation, we have:

-72 = a(2 - 8)(2 + 2)

Simplifying, we get:

-72 = a(-6)(4)

-72 = -24a

Dividing both sides by -24, we find:

3 = a

Now that we know the value of "a," we can rewrite the equation in standard form:

f(x) = 3(x - 8)(x + 2)

So, the equation of the quadratic function is:

f(x) = 3x² - 18x - 48

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Answer:

$1,194

Step-by-step explanation:

The area of the parking lot is 253.5(176.5) which equals 44,472.75. You then divide 44,472.75 by 4000 to see how many gallons you need to cover the parking lot. The answer to that was about 11.2 and since you can only purchase full drums you have to round it up to 12 to have enough. Finally, you multiply 12 by 99.50 and get your answer.

Answer:

6.5 x 10^4

Step-by-step explanation:

Answer:0*10^0

Step-by-step explanation:

Answer:

8 1/2

Step-by-step explanation:

She read 8 1/2 pages each day because if you divide 85 by 10 you will get 8 1/2.

Answer:

a) 25

b) 64

Step-by-step explanation:

a) \(x^{2}\)

Substitute x for 5

= \(5^{2}\)

Simplify

=25

b) \((x+3)^{2}\)=

Substitute x for 5

=\((5+3)^{2}\)

Simplify

=\(8^{2}\)

=64

The expected value, if the prize for matching both the letter and the digit is increased to $200, would be approximately $0.7692.

To calculate the expected value, we need to consider the probabilities of each outcome and their corresponding payoffs.

Let's assume the original prize for a correct match of both the letter and the digit is $100. If the prize is increased to $200, the expected value can be calculated as follows:

Let's denote:

P(X) = Probability of event X occurring

Prize(X) = Prize for event X

Original probabilities and prizes:

P(Correct Match) = 1/26 * 1/10 = 1/260 (26 letters and 10 digits)

Prize(Correct Match) = $100

New probabilities and prizes:

P(Correct Match) = 1/26 * 1/10 = 1/260 (26 letters and 10 digits)

Prize(Correct Match) = $200

Expected value = P(Correct Match) * Prize(Correct Match)

Expected value = (1/260) * $200

Expected value = $0.7692

Therefore, the expected value, if the prize for matching both the letter and the digit is increased to $200, would be approximately $0.7692.

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Answer:

for 2 it's 2 4 6 8 10 12 14 16 18 20 22 24 and for three it's 3 6 9 12 15 18 21 24 27 30 33 36

Step-by-step explanation:

You Welcome

The expression for the requested derivative f'(x) is \(252x^6 + 324x^5 - 40x^4 - 516x^3 - 756x^2 + 24\).

To find the requested derivative, we need to differentiate the given function f(x)=\((9x^3 - 2x - 12)(4x^4 + 6x^3 - 12)\) with respect to x.

The resulting derivative function will be denoted as f'(x).

To find the derivative of the given function f(x), we can apply the product rule.

The product rule states that the derivative of the product of two functions is equal to the derivative of the first function multiplied by the second function, plus the first function multiplied by the derivative of the second function.

Let's differentiate the given function step by step:

f(x) = \((9x^3 - 2x - 12)(4x^4 + 6x^3 - 12)\)

Applying the product rule, we have:

f'(x) =\((9x^3 - 2x - 12)(d/dx)(4x^4 + 6x^3 - 12) + (d/dx)(9x^3 - 2x - 12)(4x^4 + 6x^3 - 12)\)

Now, let's differentiate each term separately:

\((d/dx)(4x^4 + 6x^3 - 12) = 16x^3 + 18x^2\\ (d/dx)(9x^3 - 2x - 12) = 27x^2 - 2\)

Substituting these derivatives back into the expression for f'(x), we have:

f'(x) = \((9x^3 - 2x - 12)(16x^3 + 18x^2) + (27x^2 - 2)(4x^4 + 6x^3 - 12)\)

To simplify the expression for the derivative f'(x), let's expand and combine like terms:

Expanding the first term:

\(= (9x^3)(16x^3 + 18x^2) + (-2x)(16x^3 + 18x^2) + (-12)(16x^3 + 18x^2)\)

Multiplying each term:

\(= 144x^6 + 162x^5 - 32x^4 - 36x^3 - 192x^3 - 216x^2 - 192x^3 - 216x^2 + 384x^3 + 432x^2\)

Combining like terms:

\(= 144x^6 + 162x^5 - 32x^4 - 504x^3 - 432x^2\)

Expanding the second term:

\(= (27x^2 - 2)(4x^4 + 6x^3 - 12)\)

Multiplying each term:

\(= (27x^2)(4x^4 + 6x^3 - 12) + (-2)(4x^4 + 6x^3 - 12)\\ = 108x^6 + 162x^5 - 324x^2 - 8x^4 - 12x^3 + 24\)

Combining like terms:

\(= 108x^6 + 162x^5 - 8x^4 - 12x^3 - 324x^2 + 24\)

Now, we can simplify the entire expression for f'(x):

f'(x) = \(144x^6 + 162x^5 - 32x^4 - 504x^3 - 432x^2 + 108x^6 + 162x^5 - 8x^4 - 12x^3 - 324x^2 + 24\)

Combining like terms once again:

f'(x) = \(252x^6 + 324x^5 - 40x^4 - 516x^3 - 756x^2 + 24\)

Thus, the simplified expression for the derivative f'(x) is \(252x^6 + 324x^5 - 40x^4 - 516x^3 - 756x^2 + 24\).

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Answer:

They are congruent

Step-by-step explanation:

Because they size are same

wow you are so smart

Answer:

4.8 gallons of water.

Step-by-step explanation:

Mai is filling his fishing tank with water. This shows a proportional relation between the time and the amount of water filled.

Amount of water filled (In gallons) ∝ Duration (In minutes)

w ∝ t

w = kt  ---------(1)

For t = 0.5 gallons,

Amount of water = 0.8 gallons

From equation (1),

0.8 = k(0.5)

k = 1.6

So the proportionality equation will be,

w = 1.6t

Now we have to find the amount of water filled in 3 minutes.

w = 1.6 × 3

   = 4.8 gallons

Therefore, water filled in the tank after 3 minutes = 4.8 gallons.

The correct 4-bit combination for the decimal number 9 is 1001. To explain it in a long answer, we need to understand binary representation. In binary, each digit can either be 0 or 1, and the value of the digit depends on its position.

The rightmost digit represents the value 2^0 (which is 1), the next digit to the left represents the value 2^1 (which is 2), the next represents 2^2 (which is 4), and so on. To convert decimal number 9 to binary, we can start by finding the highest power of 2 that is less than or equal to 9, which is 2^3 (which is 8). We can subtract 8 from 9, and the remainder is 1. This means the leftmost digit in the binary representation is 1.

We repeat the same process with the remainder, which is 1, and find the highest power of 2 that is less than or equal to 1, which is 2^0 (which is 1). We subtract 1 from 1, and the remainder is 0. This means the rightmost digit in the binary representation is 0. Thus, the binary representation of decimal number 9 is 1001, which is the correct 4-bit combination.

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The probability that Sergio's number is larger than the sum of the two numbers chosen by Tina is 28/100 or 0.28. To find the probability that Sergio's number is larger than the sum of the two numbers chosen by Tina.

We need to determine the total number of possible outcomes and the number of favorable outcomes. The total number of outcomes is given by the product of the number of ways Tina can choose two distinct numbers from {1, 2, 3, 4, 5} and the number of ways Sergio can choose a number from {1, 2, ..., 10}.

For Tina:

Since Tina is selecting two distinct numbers, the number of ways she can choose them is given by the combination formula: C(5, 2) = 5! / (2! * (5-2)!) = 10.

For Sergio:

Since Sergio can choose any number from {1, 2, ..., 10}, the number of choices he has is 10.

The total number of outcomes is 10 * 10 = 100.

Now, let's determine the number of favorable outcomes where Sergio's number is larger than the sum of the two numbers chosen by Tina.

We can break down the favorable outcomes based on the sum of the two numbers chosen by Tina:

1. If the sum is 3, Sergio must choose a number greater than 3. The possibilities are 4, 5, 6, 7, 8, 9, 10. So, there are 7 favorable outcomes in this case.

2. If the sum is 4, Sergio must choose a number greater than 4. The possibilities are 5, 6, 7, 8, 9, 10. So, there are 6 favorable outcomes in this case.

3. If the sum is 5, Sergio must choose a number greater than 5. The possibilities are 6, 7, 8, 9, 10. So, there are 5 favorable outcomes in this case.

4. If the sum is 6, Sergio must choose a number greater than 6. The possibilities are 7, 8, 9, 10. So, there are 4 favorable outcomes in this case.

5. If the sum is 7, Sergio must choose a number greater than 7. The possibilities are 8, 9, 10. So, there are 3 favorable outcomes in this case.

6. If the sum is 8, Sergio must choose a number greater than 8. The possibilities are 9, 10. So, there are 2 favorable outcomes in this case.

7. If the sum is 9, Sergio must choose a number greater than 9. The only possibility is 10. So, there is 1 favorable outcome in this case.

The total number of favorable outcomes is 7 + 6 + 5 + 4 + 3 + 2 + 1 = 28.

Therefore, the probability that Sergio's number is larger than the sum of the two numbers chosen by Tina is 28/100 or 0.28.

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A two-way table is such that has two categorical variables and as such, the data are presented in rows and columns.

The correct row and column headings for the given dataset are:

Column: above 60°F, below 60°F, Row: sunny, not sunny

Given that:

\(Above\ 60^oF=14\)

\(Below\ 60^oF=17\)

\(Sunny = 19\)

The two-way table would have the following representations;

The following representations are also possible

Base on the above representations, we can conclude that options (b) is true

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Answer: 3/4

Step-by-step explanation:

Slope formula is y2-y1 / x2-x1 or in this case 7-4 / 1--3 which equals = 3/4

Answer:

m=3/4

Step-by-step explanation:

A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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Answer:

2

Step-by-step explanation:

Your slope is your change in y over your change in x.  The ordered pair is in the form of (x,y), so you subtract the y's and put that in your numerator (top)and subtract your x's and put that in your denominators (bottom).

2 - (-4) would be your top number.  To subtract a negative number is the same as adding a positive, so 2 - (-4) is the same as 2 +4, so your top number is 6.  

Now, to find the bottom number, you subtract the x's.

5-2 which is 3.

We now have the top and the bottom number

6/3 which is the same as 2.

Answer:

B 0.5

Step-by-step explanation:

Answer:

Let's assume that the total distance of the trip is D miles. Jorge has already covered half of the distance i.e. D/2 miles at an average speed of 20 mph. Let's call the time taken to cover this distance T1.

We can use the formula: Average speed = Total Distance / Total Time

We know that the overall average speed for the entire trip is 40 mph. So, for the remaining half of the trip, Jorge needs to cover another D/2 miles at an average speed of 40 mph. Let's call the time taken to cover this distance T2.

Now we can write two equations:

1. 20 mph = (D/2) / T1  => T1 = (D/2) / 20

2. 40 mph = (D/2) / T2  => T2 = (D/2) / 40

We need to find out the average speed in the second half of the trip. Let's call it S2.

We know that the total time taken for the entire trip is T1 + T2.

Total time = T1 + T2 = (D/2) / 20 + (D/2) / 40 = D/30

We can again use the formula: Average speed = Total Distance / Total Time

So, we have:

D = D

Total time = D/30

Total distance = D/2 + D/2 = D

Average speed = Total distance / Total time

40 mph = D / (D/30)

40 mph = 30

This is not possible as the average speed cannot be higher than the maximum speed (which is 40 mph in this case). So, it means that there is no way for Jorge to achieve an average speed of 40 mph for the entire trip.

Step-by-step explanation:

Answer:

Ryan had 10.20 dollars and Jeffery had 11.40 dollars.

Step-by-step explanation:

Let Ryan have x dollars originally, then Jeffrey has x + 1.20 dollars.

From the given info:

After getting 7.50 from Ryan, Jeffrey has:

x + 1.2 + 7.5 dollars and Ryan has x - 7.50 dollars.

Jeffreys money is now is 7 times as much as Ryan's, so:

x + 8.7 = 7(x - 7.5)

x + 8.7 = 7x - 52.5

8.7 + 52.5 = 7x - x

6x = 61.2

x = 10.20 dollars.

Answer: 3

Step-by-step explanation:

1: 3x-y+3=0

2: y=3x+3

y-intercept: (0,3) y value = 3

plug in and check: 3x-3+3=0 x=0

a. Check the images attached below for LTI system.

b. The block diagram of the LTI system is attached below.

A type of systems known as linear time-invariant systems (LTI systems) is used in signals and systems that are both time-invariant and linear. Systems that provide the same results for a linear combination of inputs and individual reactions to those inputs are said to be linear systems.

(a) The block diagram of the LTI system in direct form is as follows:

Image attached below.

(b) The block diagram of the LTI system in transposed direct form is as follows:

Image attached below.

Note that in the transposed direct form, the delay element (z⁻¹) is placed after the summing junction, and the feedback path is connected directly to the input. This is equivalent to the direct form, but may be more convenient for certain implementations.

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Inference is referred to as all the data collected in a particular study.

Etymologically, the word "infer" means to "carry ahead." Inferences are stages in reasoning that connect premises to logical conclusions. The dichotomy between deduction and induction in inference theory, which dates at least to Aristotle in Europe, is a classic one (300s BCE). Deduction is inference that results in logical conclusions from premises that are known to be true or that are presumed to be true, while the logic of correct inference is investigated. A universal conclusion is inferred by induction from specific evidence. Contradistinguishing abduction from induction, Charles Sanders Peirce is credited with identifying a third sort of inference. Researchers in the domains of logic, argumentation studies, and cognitive psychology traditionally study human inference (i.e., how people draw conclusions); artificial intelligence researchers create automated inference systems to mimic human inference.

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The value of c in the right triangle using Pythagoras theorem is c = √113.

An equation is an expression that shows the relationship between two or more numbers and variables.

Pythagoras theorem shows the relationship between the sides of a right triangle. Hence:

c² = 8² + 7²

c = √113

The value of c in the right triangle using Pythagoras theorem is c = √113.

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To create opposite x terms, we need to multiply the first equation by -5.

How to choose what term to multiply the first equation?

To choose what term to multiply the first equation, we need to consider the coefficients of the variable that we want to eliminate (in this case, the x variable) in both equations. Our goal is to create opposite terms for that variable in the two equations, so that when we add or subtract the equations, that variable will be eliminated.

Determining the number to multiply the first equation by to form opposite terms for the x-variable :

In this case, the coefficient of x in the first equation is 2/5, and the coefficient of x in the second equation is -2.

To create opposite terms for x, we need to find a constant that, when multiplied by the first equation, will result in a coefficient of x that is the negative of the coefficient of x in the second equation (i.e., -2).

To do this, we can divide the coefficient of x in the second equation by the coefficient of x in the first equation, and then multiply the entire first equation by the resulting constant.

In this case, we have:

\((-2)/(2/5) = -5\)

Multiplying the first equation by -5 gives:

\(-5(2/5)x + (-5)6y = -5(-10)\)

which simplifies to:

\(-2x - 30y = 50\)

Now we have two equations with opposite x terms:

\(-2x - 4y = 40\)

\(-2x - 30y = 50\)

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Answer:

-1 = x              1 = x  

Step-by-step explanation:

We want to factor this first

-4x^2 = -4

x^2=1

sqrt x^2 = sqrt 1

x = ± 1

x=-1        x=1

Statistics that indicate how data is grouped around a core value are known as measures of central tendency. Central Tendency has mainly 3 measures which are Mean, Median and Mode.

Mean: To find the mean, we add up all the numbers in the set and divide by the total number of numbers. So,

Mean = (47+31+84+50+68+85+67+56)/8 = 58.5

Median: To find the median, we need to arrange the numbers in order from least to greatest and then find the middle value. Since there are eight numbers in this set, the middle value is the average of the two middle numbers. So,

Arrange the numbers: 31, 47, 50, 56, 67, 68, 84, 85
Median = (56+67)/2 = 61.5

Mode: The mode is the number that appears most frequently in the set. In this case, no number appears more than once, so there is no mode. So,

Mode = 0

Range: The range is the difference between the largest and smallest numbers in the set. So,

Range = 85 - 31 = 54

Therefore, the mean is 58.5, the median is 61.5, there is no mode, and the range is 54.

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Answer:

a

Step-by-step explanation:

because it's calculated by dividing AbM and that's how a is answer