Answer:
i think the answer is B
Step-by-step explanation:
Enrique predicts that he can make additional money from sales of accessories and services for computer products sold by his store. The table at the right shows predicted percent returns for such sales. For example, if the store makes x dollars selling computer products, Enrique predicts the store will make 0.05x dollars from selling accessories. Part A In January and February of this year, the store made $2,500 from sales of accessories and services. Let x represent the amount the store will make from sales of computer products from March through December. Write an equation that represents the predicted amount y that the store will make from sales of accessories and services for the entire year. If Enrique predicts sales from accessories and services for the entire year will be $5,000, about how much money must be made from computer product sales from March through December? Explain.
Answer:
Following are the solution to this question:
Step-by-step explanation:
x was its full computer product revenue from March to December. In january and february, the revenue towards products and services before x quantities for computer product revenues will happen between March to December is $2,500.
Whenever x quantity is sold, then 0.05x quantity was sold for supplies and equipment.
The sum of accessories to sell should be calculated, indeed, year-round.
It helps us to split into two parts
y = accessory sales in January and February + accessories sales in March and December
Use item 2
y = $2,500 + March to December accessories sale
Now use sections 1 and 3
y = $2,500 + 0.05x
The above equation rewriting gives
y = 0.05x + $2,500 (a)
This formula is compared with a standard y = mx+c interrupt slope
We got a pitch of 0.05 and a pitch of $2,500.
5 x 1/7
The question
Answer:
5/7 or 0.71 is the answer
(a) Write the point–slope form of a function that has a slope of -3 and passes through the point (11, 2).
(b) Using the point–slope form of the function found in part a, compute the y-intercept of that function by setting x =0 and solving for y.
(c) Write the slope–intercept form of the function found in part a
a. Point-slope form is: y - y0 = m(x - x0). Plugging in our values, we get: y - 2 = -3(x - 11). Typically we can just leave it like this, but for the sake of simplifying it down to slope-intercept form, it would be y = -3x + 35.
b. y - 2 = -3((0) - 11)
y - 2 = 33
y = 35.
c. y = -3x + 35.
Edit: Bolded the last answer.
Findthefollowing androundtothenearesttenth:a) 90%of whatnumberis 262?b) Whatpercentof45is329?
Problem
Findthefollowing androundtothenearesttenth:
a) 90%of whatnumberis 262?
b) Whatpercentof45is329?
Solution
Part a
For this case we can do the following:
\(\frac{x}{100}=\frac{262}{90}\)And solving for x we got:
x= 100 (262/90)= 291.1
Part b
For this case we can do the following:
\(\frac{45}{329}\cdot100=13.68\)And we can conclude that the answer is 13.68%
Water is rushing down the slide at a rate of 1 half gallon every 3 seconds .At this rate , how many gallons of water rush down the slide each seconds ?
1/2 gallons of water rush down the slide each seconds.
Explain the method of unitary?The unitary approach involves calculating the value of a specific unit, from which we can calculate the values of the necessary number of units.The unitary method's formula is to identify the value of a specific unit, then multiply that value by the number of units to obtain the required value.For the given question-
Rate of running water = 1 half gallon every 3 seconds.
Rate of running water = 1 1/2 = 3/2 gallon every 3 seconds.
It means-
In every 3 seconds ----> 3/2 gallons water flows.
Thus for 1 sec, divide both side by 3.
1 seconds ----> 1/2 gallons water flows.
Therefore, 1/2 gallons of water rush down the slide each seconds.
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Exercise 1:
Assume that the below table represents the sales figure of company XYZ. Use the Linear Trend Equation to forecast sales in year 5 AND 6
T year y sales
1 230
2 235
3 239
4 243
1. We can calculate the slope (m): m = 498.7
2. We have the equation of the trend line: y = 498.7x - 1009.75
3. The forecasted sales for year 5 is approximately 1483.75.
4. The forecasted sales for year 6 is approximately 1982.45.
To use the Linear Trend Equation for forecasting sales in year 5 and 6, we need to calculate the equation of the trend line first. The formula for a linear trend line is:
y = mx + b
Where:
y = dependent variable (sales)
x = independent variable (year)
m = slope of the line
b = y-intercept
To find the slope (m) and y-intercept (b), we can use the least squares method or the method of linear regression. However, since we only have four data points, we'll use a simplified version of the linear regression formula:
m = [(nΣxy) - (ΣxΣy)] / [(nΣx^2) - (Σx)^2]
b = (Σy - mΣx) / n
Let's calculate the values:
n = number of data points = 4
Σx = sum of years = 1 + 2 + 3 + 4 = 10
Σy = sum of sales = 230 + 235 + 239 + 243 = 947
Σxy = sum of (year * sales) = (1 * 230) + (2 * 235) + (3 * 239) + (4 * 243) = 4861
Σx^2 = sum of (year^2) = (1^2) + (2^2) + (3^2) + (4^2) = 30
Now we can calculate the slope (m):
m = [(nΣxy) - (ΣxΣy)] / [(nΣx^2) - (Σx)^2]
= [(4 * 4861) - (10 * 947)] / [(4 * 30) - (10^2)]
= [19444 - 9470] / [120 - 100]
= 9974 / 20
= 498.7
Next, let's calculate the y-intercept (b):
b = (Σy - mΣx) / n
= (947 - (498.7 * 10)) / 4
= (947 - 4987) / 4
= -4039 / 4
= -1009.75
Now we have the equation of the trend line:
y = 498.7x - 1009.75
To forecast sales in year 5, substitute x = 5 into the equation:
y = 498.7 * 5 - 1009.75
= 2493.5 - 1009.75
= 1483.75
Therefore, the forecasted sales for year 5 is approximately 1483.75.
To forecast sales in year 6, substitute x = 6 into the equation:
y = 498.7 * 6 - 1009.75
= 2992.2 - 1009.75
= 1982.45
Therefore, the forecasted sales for year 6 is approximately 1982.45.
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Find the value of x to the nearest tenth.
Answer:
x =20.8
Step-by-step explanation:
We can find the value of 1/2 of x using the Pythagorean theorem
a^2 + b^2 = c^2
a^2 + 6^2 = 12^2
a^2 = 36+144
a^2 = 108
Take the square root
sqrt(a^2) = sqrt( 108)
a =sqrt(36*3)
a = sqrt(36) sqrt(3)
a = 6sqrt(3)
Now x = 2 times the length of a
x = 2 * 6 sqrt(3)
x = 12 sqrt(3)
x =20.78460969
x =20.8
A pair of shoes are on sale for 25% off their regular price of $180. Students at Pikesville Middle can get an additional 10% off of the shoes with their school ID. What is the final cost for the shoes after both discounts
Answer:
$121.5
Step-by-step explanation:
$180 × 0.25 = $45 <-- because it is a discount, we will subtract
$180 - $45 = $135 <-- price with 25% discount
$135 × 0.10 = $13.5
$135 − $13.5 = $121.5
I have a question with fractions 7/7 - 2/5I am suppose to estimate, and use compatible numbers
1
Explanation:
7/7 - 2/5
Using compatible numbers:
7/7 = 1 as it is closer and equal to 1
so we have: 1 - 2/5
2/5 is approximately 0 as it is closer to 0 than 1
= 1 - 0 = 1
7/7 - 2/5 using compatible number = 1
Find the smallest y value for the solutions of this mixed system: y = x2 - X - 20 and y = 3x - 15
The smallest y value for the solutions of the mixed system of equations y = \(x^{2}\) - x - 20 and y = 3x - 15 is -12.
To find the smallest y value for the solutions of the system, we need to find the point at which the two equations intersect. By setting the equations equal to each other, we can solve for the values of x and y that satisfy both equations:
\(x^{2}\) - x - 20 = 3x - 15
Rearranging the equation, we get:
\(x^{2}\) - x - 3x + 20 - 15 = 0
\(x^{2}\)- 4x + 5 = 0
Factoring the quadratic equation, we have:
(x - 5)(x - 1) = 0
Setting each factor equal to zero, we find two possible values for x: x = 5 and x = 1.
Substituting these values back into either equation, we can find the corresponding y values:
For x = 5:
y = 3(5) - 15 = 0
For x = 1:
y = 3(1) - 15 = -12
Therefore, the smallest y value for the solutions of the system is -12.
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Which of the type directions lie in the (110) plane? [101] [110] [o īl] (110
The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.
Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.
Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.
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Please Help meeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
6×4 = 24 m^3
..............................
Answer:
24 units
Step-by-step explanation:
because 6x4=24 units
Put the steps of the scientific method in the correct order.
a. result
b. hypothesis
c. experiment
d. conclusion
e. observation
The correct order of the steps in the scientific method is: observation, hypothesis, experiment, result, and conclusion
The correct order of the steps in the scientific method is as follows:
e. Observation - Start by making observations or gathering information about a particular phenomenon or problem. This involves carefully observing and noting relevant details and patterns.
b. Hypothesis - Based on the observations, formulate a hypothesis, which is a proposed explanation or prediction that can be tested through experimentation.
c. Experiment - Design and conduct experiments or investigations to test the hypothesis. This step involves carefully controlling variables, collecting data, and performing measurements.
a. Result - Collect and analyze the data obtained from the experiments or investigations. This analysis helps determine if the results support or reject the hypothesis.
d. Conclusion - Draw a conclusion based on the analysis of the data. Evaluate whether the results support the hypothesis and discuss the implications and significance of the findings. The conclusion may also involve suggesting further research or revisions to the hypothesis.
The scientific method is a systematic approach used in scientific inquiry to investigate and understand the natural world. It allows researchers to gather evidence, test hypotheses, and draw reliable conclusions based on empirical data.
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Identify any removable and any non-removable discontinuities of the function f(x) =
^3−125/^2−25
explaining how you determine these algebraically and what they look like on the graph of f(x).
Answer:
It's what came out, let me know if it works for you
Step-by-step explanation:
The function f(x) = x³ − 125x² − 25 has neither removable nor non-removable discontinuities.
It is continuous for all real numbers.
We have,
To identify removable and non-removable discontinuities of the function f(x) = x³ − 125x² − 25, we need to look for values of x that make the function undefined or create "holes" in the graph.
A removable discontinuity occurs when there is a hole in the graph at a particular x-value.
It means that the function can be made continuous by defining the value at that point.
A non-removable discontinuity (also known as an essential or infinite discontinuity) occurs when there is a vertical asymptote or an undefined value at a particular x-value, and the function cannot be made continuous by assigning a value at that point.
Now, let's analyze the given function:
f(x) = x³ − 125x² − 25
To identify any removable discontinuities, we need to check for values of x that make the function undefined.
However, this function is a polynomial, and polynomials are defined for all real numbers.
There are no divisions by zero or square roots of negative numbers, so there are no removable discontinuities in this function.
To identify any non-removable discontinuities, we need to look for vertical asymptotes or undefined values.
Since this function is a polynomial, there are no vertical asymptotes or undefined values.
Therefore, there are no non-removable discontinuities in this function either.
Thus,
The function f(x) = x³ − 125x² − 25 has neither removable nor non-removable discontinuities.
It is continuous for all real numbers.
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The complete question:
Identify any removable and any non-removable discontinuities of the function f(x) = x³ − 125x² − 25
Explain how you determine these algebraically and what they look like on the graph of f(x).
solve for x ! I need help
Answer:
x = 47°
Step-by-step explanation:
This is an exterior angle property, one of the properties in a triangle. The exterior angle theorem states that if a triangle's side gets an extension, then the resultant exterior angle would be equal to the sum of the two opposite interior angles of the triangle.
Answer:
x=45.6
Step-by-step explanation:
(2x-2)+x+45=180
Combine like terms.
3x+43=180
Subtract 43 on both sides.
3x+43=180
-43 -43
3x=137
Divide by 3 on both sides.
3x=137
/3 /3
x=45.6
(I'm not sure if it's right because it's a decimal, but...)hope this helps!!!!! Have an amazing day c:
The average SAT score for freshmen entering a particular university is 1100 with a standard deviation of 95. What is the probability that the mean SAT score for a random sample of 50 of these freshmen will be anywhere from 1075 to 1110?
The probability that the mean SAT score for a random sample of 50 freshmen will be anywhere from 1075 to 1110 is approximately 0.7396, or 73.96%.
To solve this problem, we will use the Central Limit Theorem, which states that the distribution of sample means approaches a normal distribution as the sample size increases.
Given:
Population Mean (μ): 1100
Standard Deviation (σ): 95
Sample Size (n): 50
We need to find the probability that the mean SAT score for a random sample of 50 freshmen falls between 1075 and 1110.
First, we calculate the standard error of the mean (SEM) using the formula:
SEM = σ / √n
SEM = 95 / √50 ≈ 13.435
Next, we can calculate the z-scores for the lower and upper limits using the formula:
z = (x - μ) / SEM
For the lower limit:
\(z_{lower\) = (1075 - 1100) / 13.435 ≈ -1.861
For the upper limit:
\(z_{upper\) = (1110 - 1100) / 13.435 ≈ 0.745
Now, we can use a standard normal distribution table or calculator to find the probabilities associated with these z-scores.
Using the standard normal distribution table, we find the area to the left of -1.861 is approximately 0.0308, and the area to the left of 0.745 is approximately 0.7704.
To find the probability between these two z-scores, we subtract the smaller area from the larger area:
Probability = 0.7704 - 0.0308 ≈ 0.7396
Therefore, the probability that the mean SAT score for a random sample of 50 freshmen will be anywhere from 1075 to 1110 is approximately 0.7396, or 73.96%.
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In 1867, the United States purchased Alaska from Russia. Alaska is about 5.9 × 105 square miles. The United States paid about $12.20 per square mile. Approximately how much did the United States pay Russia for Alaska? Complete the steps to answer the question. 1. Write the expression: (5.9 × 105)(12.2) 2. Multiply the decimal values: × 105 3. Write in scientific notation: × The United States paid Russia approximately for Alaska.
Answer:
$7.198 * 10^6
Step-by-step explanation:
Given that :
Total Area of Alaska = 5.9 * 10^5 mi²
Cost of Alaska per square mile = $12.20
Total amount paid to purchase Alaska:
(Total area in square miles * Cost per square mile)
(5.9 × 10^5) * $12.20
(5.9*12.20) * 10^5
71.98 * 10^5 dollars
= $7.198 * 10^6
Hence, amount the United States paid Russia for the purchase of Alaska is approximately $7.198 * 10^6
Answer:
1. Write the expression: (5.9 × 105)(12.2)
2. Multiply the decimal values:
✔ 71.98
× 105
3. Write in scientific notation:
✔ 7.198
×
✔ 10 to the sixth power
The United States paid Russia approximately
✔ $7,200,000
for Alaska.
Step-by-step explanation:
Mark has invested $300 at age 16 into a money market account earning 6%. How many times will Mark’s investment double before age 52? What will his investment be worth? What would Mark’s investment be if he had invested at age 28?
Answer:
Rough guide: doubling time in years is 72/interest rate in per cent. 72/6 is 12 so it doubles every 12 years, so in 36 years it will double 3 times.
A=300(1+.06)^36 is the formula. Without rounding, A=$2444.18. That is doubling 3 times or increasing 8 fold (and a little more)
Step-by-step explanation:
Hope this helps. Stay healthy. No corona. Take Care
At the agre of 28 he had invested A=$2444.18.
The doubling time in years is 72/interest rate in per cent.
72/6 is 12 so it doubles every 12 years,
So, in 36 years it will double 3 times.
What is the formula for the investment?The formula of investment is
\(A=P(1+r)^{nt}\)
\(A=300(1+.06)^{36}\)
Without rounding, We get,
A=$2444.18.
That is doubling 3 times or increasing 8 fold.
Therefore at the age of 28 he had invested A=$2444.18.
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How many degrees are in a twelfth of a full turn?
Answer:
30 degrees
Step-by-step explanation:
A full turn is 360 degrees. The question asks for a twelfth of a turn, so all you need to do is divide 360 by 12! 360/12=30...30 is your answer!
Hope this helps you out...have an amazing day c:
Find the prisms volume. A. 75 mi³ B. 72 mi³ C. 36 mi³ D. 104 mi³
The volume of the given prism is 72 mi³, so, the correct answer is option (B) 72 mi³.
A prism is a 3-D solid shape having 2 parallel and congruent polygonal bases connected by rectangular faces.
It is given that the height of the prism is 3 mi and the base is a right-angled triangle in shape with a length of 8 mi and a base width of 6 mi.
It is needed to find the volume of that prism.
The volume of a prism is calculated by multiplying the area of the base with its height, therefore, the volume of the prism is given as:
Volume = Area of base × Height
\(= \frac{1}{2}\times 8 \times 6 \times 3\\= 4 \times 6 \times 3\\ = 72\ mi^3\)
Thus, option (B) 72 mi³ is the correct answer.
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The complete question is as follows:
There is a 3 mi high prism with a right-angled triangular base of length 8 mi and a base 6 mi wide.
Find the prism's volume.
A. 75 mi³
B. 72 mi³
C. 36 mi³
D. 104 mi³
SET of 3! Please help
Answer:
1. 24/40, 32/40, 24/32 (This is in order from top to bottom)
2. 21.1
3. 4.1
Step-by-step explanation:
1. Here, we only have to focus on Angle X.
Let's label in the sides:
Opposite = YZ = 24
Adjacent = XY = 32
Hypotenuse = XZ = 40
SOHCAHTOA simply means: You can memorise this through the acrostic poem of - Slap On Head Causes A Headache Take One Aspirin, but I remember it by Suck A Toe because that's what it sounds like.
Sin(x) = Opposite/Hypotenuse
Cos(x) = Adjacent/Hypotenuse
Tan(x) = Opposite/Adjacent
Sin(X) = 24/40
Cos(X) = 32/40
Tan(X) = 24/32
The question only asks to give the ratios by using / for a fraction, so we don't simplify it.
2. We are given the angle of 64°, the opposite length 19 and we have to work out x, which is the hypotenuse. We can use the sin function as we have our opposite length and we have to work out the hypotenuse.
Sin(64) = 19/x
xSin(64) = 19
x = 19/Sin(64)
x = 21.13943687
x = 21.1
3. We are given the angle of 70°, the hypotenuse 12 and we have to work out x, which is the adjacent side. We can use the cos function as we have to work out the adjacent side and we have our hypotenuse given to us.
Cos(70) = x/12
12Cos(70) = x All we have to do here is multiply by 12!
x = 4.10424172
x = 4.1
what is the answer to this question? What is the additive inverse of the polynomial –9xy2 + 6x2y – 5x3?
IDK what the answer is so if anyone who helps me will get 20 points i promise
Answer:
The answer is
9xy2-6x2y+5x3
The additive inverse of a polynomial is the same polynomial with the signs of the terms changed.
The additive inverse of the given polynomial is (9xy² - 6x²y + 5x³).
What is the additive inverse of a polynomial?The additive inverse of a polynomial can be obtained by multiplying the polynomial with (- 1).
The given polynomial is (- 9xy² + 6x²y - 5x³)
Therefore, the additive inverse of the given polynomial is
= - (- 9xy² + 6x²y - 5x³)
= (9xy² - 6x²y + 5x³)
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Mrs. Scott rented a jeep. The rental charge is a flat fee of
$115 plus $12.50 per hour. Her bill is $152.50, not
including tax. Write and solve an equation that could be
used to find the number of hours she rented the jeep
Answers here or on your
own paper
Description:
Equation:
Jada and Noah counted the number of steps
they took to walk a set distance. To walk the
same distance, Jada took 8 steps while Noah
took 10 steps. Then they found that when
Noah took 15 steps, Jada took 12 steps.
Let a represent the number of steps
Jada takes and let y represent the
5
number of steps Noah takes.y =
a. Create a table that C. How can you see or
represents this calculate the constant of
situation with at proportionality in each
least 3 pairs of representation? What
values.
does it mean?
b. Graph this d. Explain how you can tell
relationship and
that the equation,
label the axes. description, graph, and
table all represent the
same situation.
V Illustrative
Mathematics
Unit 3 • Lesson 3. Activity 2
Kendall Hunt
eaker notes
Answer/Step-by-step explanation:
Given:
When Jada took 8 steps, Noah took 10 steps
When Jada took 12 steps, Noah took 15 steps
a. The following table can be created as follows given that x = steps taken by Jada, and y = steps taken by Noah:
From the info given, the ratio of Noah's steps to Jada's steps is 15 : 12 = 10 : 8 = 5 : 4 = ⁵/4.
Use this ratio to create a table of 3 pairs of values as shown below.
Jada's Steps (x) ===> Noah's steps (y)
4 ===> 5
8 ==> 10
12 ==> 15
b. The graph of that shows this relationship has been attached below. Check the attachment.
c. Constant of proportionality can be calculated in each representation as follows: y/x = k. Where y is steps taken by Noah, x is for steps taken by Jada, and I is constant of proportionality.
Thus,
Constant of proportionality (k) = 15/12 = ⁵/4
This means, for every 5 steps taken by Noah, Jada takes 4 steps.
This relationship is represented by the equation, y = ⁵/4x.
The ⁵/4 in the equation is the constant of proportionality of their relationship.
d. The equation, description, graph, and table all represent the same situation because they all show the same constant of proportionality between x and y.
In the equation, ⁵/4 represents the constant of proportionality. In the graph, the slope is ⁵/4, which is also the same last constant of proportionality.
In the table, the constant of change in each pair is ⁵/4 all through.
the probability of an archer hitting her target is 83%. suppose she has 20 shots to take, and each shot is independent of the others. let x represent the number of targets hit. what is the mean of x?
the probability of an archer hitting her target is 83%.The mean of x is 16.6 (16.6 targets hit).
The probability of the archer hitting her target is 83%. This means that for each shot she takes, the probability of her hitting her target is 0.83. Since she has 20 shots to take, the expected number of targets hit is 20 x 0.83, which is 16.6.
The mean of x, which is the number of targets hit, is therefore 16.6. This can be calculated by taking the probability of success (0.83) multiplied by the number of trials (20), which gives the expected value of 16.6.
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HELP!!!! PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: red hot= $4
gummies=$9
Step-by-step explanation:
3r+1g=21
-(3r+3g=39)
3r+1g=21
-3r-3g=-39
-2g=-18
g=9
3r+1(9)=21
3r=12
r=4
Picture attached help please!
The missing lengths in the triangles are h = 3/2√2 and b = 4√3
How to determine the missing lengthsTriangle a and b
From the question, we have the following parameters that can be used in our computation:
A special right triangle
For a right triangle with an angle of 45 degrees
The measure of the leg is
h = Hypotenuse/√2
So, we have
h = 3/√2
Evaluate
h = 3/2√2
For the other triangle, we have
sin(60) = b/6
So, we have
b = 6/sin(60)
Evaluate
b = 4√3
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Ashley and joe each improved their yards by planting hostas and ornamental grass. They bought their supplies from the same store. Ashley spent $152 on 12 hostas and 8 bunches of ornamental grass. Joe spent $66 on 6 hostas and 3 bunches of ornamental grass. Find the cost of one hosta and the cost of one bunch of ornamental grass.
Answer:
one hosta=$6
one ornamental grass=$10
Step-by-step explanation:
6 10?
6*6+3*10
36+30
66
12*6+8*10
72+80=152
Give the following non-linear equation: z = x² + 4xy + 6xy² 1.1. Linearize the following equation in the region defined by 8 ≤x≤10,2 ≤y ≤4. (8) 1.2. Find the error if the linearized equation is used to calculate the value of z when x = 8, y = 2.
The linearized equation for the non-linear equation z = x² + 4xy + 6xy² in the region defined by 8 ≤ x ≤ 10, 2 ≤ y ≤ 4 is given by :
z ≈ 244 + 20(x - 8) + 128(y - 2).
When using the linearized equation to calculate the value of z at x = 8, y = 2, the error is 0.
1.1. To linearize the equation in the given region, we need to find the partial derivatives of z with respect to x and y:
∂z/∂x = 2x + 4y
∂z/∂y = 4x + 6xy
At the point (x₀, y₀) = (8, 2), we substitute these values:
∂z/∂x = 2(8) + 4(2) = 16 + 8 = 24
∂z/∂y = 4(8) + 6(8)(2) = 32 + 96 = 128
The linearized equation is given by:
z ≈ z₀ + ∂z/∂x * (x - x₀) + ∂z/∂y * (y - y₀)
Substituting the values, we get:
z ≈ z₀ + 24 * (x - 8) + 128 * (y - 2)
1.2. To find the error when using the linearized equation to calculate the value of z at x = 8, y = 2, we substitute these values:
z ≈ z₀ + 24 * (8 - 8) + 128 * (2 - 2)
= z₀
Therefore, the linearized equation gives the exact value of z at x = 8, y = 2, and the error is 0.
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Which expression is equivalent to the following complex fraction?
Answer:
The first option is correct, (-2y + 5x) / (3x - 2y)
Step-by-step explanation:
\((\frac{-2}{x} + \frac{5}{y} ) \div (\frac{3}{y} - \frac{2}{x})\\= \frac{-2y + 5x}{xy} \div \frac{3x - 2y}{xy}\\= \frac{-2y + 5x}{xy} \times \frac{xy}{3x - 2y}\\= \frac{-2y + 5x}{3x - 2y}\)
Answer:
first guy is right
Step-by-step explanation:
edg 2021