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artcher [175]
2 years ago
9

A rectangular yard is enclosed by 100 meters of fencing. The table shows some possible values for the length and width of the ya

rd.
>The area is in square meters<

Length (meters): Width (meters): Area:
10 40 400
20 30 _
25 25 625
35 15 525
40 _ _


1. Complete the table with the missing values
Mathematics
1 answer:
Kryger [21]2 years ago
5 0
10 40 400
20 30 600
25 25 625
35 15 525
40 60 2400
I think
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Write the multiple regression equation for miles per gallon as the response variable. Use weight and horsepower as predictor var
Naily [24]

Answer:

Step-by-step explanation:

Response Variable: Miles per gallon

Predictor Variables: Weight, Horsepower

The multiple regression equation would be: M = aW + bH + c

where M = miles per gallon

a = slope of the graph of W on M OR rate of change in M due to change in W

W = weight

b = slope of the graph of H on M OR rate of change in M due to change in H

H = horsepower

c = intercept of M on the y-axis OR constant variable

How might the car rental company use this model?

The car rental company might use the regression model to determine the following:

- Effect of weight (of car) on miles run per gallon (of premium motor spirit)

- Effect of horsepower on miles per gallon; etc.

8 0
2 years ago
What's 3/4 times 7/9 in simplest form
Alexxandr [17]
3/4 times 7/9:

First, we must use the rule for multiplying fraction. The rule is: a/b times c/d = ac/ bd. Let's substitute our problem into that formation.
\frac{3 \times 7}{4 \times 9}

Second, we can now simplify. (3 times 7 = 21) and (4 times 9 = 36). 
\frac{21}{36}

Third, since our fraction is not in the simplest form, we can simplify it down by listing the factors of both the numerator and denominator and then finding the greatest common factor (GCF). 

Factors of 21: 1, 3, 7, 21
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

The GCF is 3, since only 1 and 3 were the common factors and since 3 is the greatest common factor. 

Fourth, now we can divide our numerator (21) and denominator (36) by our recently found GCF which was 3. 

21 \div 3 = 7 \\ 36 \div 3 = 12

Our new fraction in its simplest form is 7/12.

Answer in fraction form: \fbox {7/12}
Answer in decimal form: \fbox {0.5833}
7 0
2 years ago
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Recall the formula for factoring the difference of two squares: a2 – b2 = (a + b)(a – b) Use the formula to factor n8 – 9. What
Pie

Answer:

To answer your question: Rewrite 81x2 as (9x)2.(9x)2−49Rewrite 49 as 72.(9x)2−72 Both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=9x and b=7.(9x+7)(9x−7)

3 0
2 years ago
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Last month the ending balance on Maryanne’s Mastercard was $1,789, the average daily balance was $755, and the monthly periodic
melisa1 [442]

Answer:

False

Step-by-step explanation:

Based on the information given we can calculate the finance charge of Maryanne’s by simply multiplying her average daily balance which is the amount of $755 times her monthly periodic rate which is 0.0185.

Hence, Maryanne's finance charge is calculated by using this formula

Finance charge=Average daily balance*Monthly periodic rate

Let plug in the formula

Finance charge= $755* 0.0185

Finance charge= $13.97

Therefore Maryanne's finance charge will be $13.97

4 0
2 years ago
the table shows the cost of renting an inner tube to use at the wave-a-rama water park. explain how to write an equation to repr
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The equation would be: C = 5.5T, where C is the Cost and T is the number of tubes.

If you divide all of the outputs by the inputs, you will get 5.5. That means it's a proportional relationship. Just multiply the number of tubes by 5.5 and you will have your cost.
4 0
2 years ago
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