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kirill115 [55]
2 years ago
7

1/3 of 7 as a fraction

Mathematics
1 answer:
klio [65]2 years ago
3 0
Hey There! Whoever we see the keyword “of”, we know that it’s multiplication Therefore we’re multiplying 1/3 and 7/1 that gives us 7/3

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Let x be the size of a house (sq ft) and y be the amount of natural gas used (therms) during a specified period. Suppose that fo
guapka [62]

Answer:

y = 0.019x - 7

32.9 therms

0.019 therms

1.9 therms

Step-by-step explanation:

Given the following :

X =size of house (sq ft)

Y = Amount of natural gas used

The general form of a some linear regression model :

y = ßx + a

Where ;

ß = slope or gradient

x = independent variable

y = predicted value

a = y- intercept value

(A)

If ß = slope of population regression line = 0.019

a = y intercept of population regression line = -7

The regression model could be expressed as :

y = 0.019x + (-7)

y = 0.019x - 7

(B)What is the mean value of gas usage for houses with 2100 sq ft of space?

Here x = 2100 sq ft ; Inputting the value of x into the regression equation:

y = 0.019x - 7

y = 0.019(2100) - 7

y = 39.9 - 7

y = 32.9 therms

C) What is the average change in usage associated with a 1 square foot increase in size?

Change in usage associated with change in size can be gotten from :

ßx, where, ß change in y with respect to x ;

x = 1 square foot

ß = 0.019

Change = 0.019*(1) = 0.019 therms

(d) What is the average change in usage associated with a 100 square feet increase in size?

ßx, where, ß change in y with respect to x ;

x = 100 square feet

ß = 0.019

Change = 0.019*(100) = 1.9 therms

6 0
3 years ago
WOULD VERY MUCH APPRECIATE THIS PLEASE HELP​
Sindrei [870]

Answer: the area of a figure is 85.13 in²

Step-by-step explanation:

The area of a figure S consists of the area of a semicircle S₁ and the area of a parallelogram S₂

\displaystyle\\S_1=\frac{\pi D^2}{4*2} \\\\S_1=\frac{\pi (8)^2}{8} \\\\S_1=\frac{64\pi }{8} \\\\S_1=8\pi \\\\S_1\approx25.13\ in^2\\\\S_2=10*6\\\\S_2=60\  in^2\\\\Thus,\\\\S=25.13+60\\\\S=85.13\  in^2

3 0
1 year ago
A wildlife biologist determines that there are approximately 200 deer in a region of a national park. The population grows at a
Amanda [17]

Answer:

FV= 200*(1.07^n)

Step-by-step explanation:

Current population= 200 deer

Growth rate= 7% per year

<u>To calculate the future value of deer in any given years, we need to use the following formula:</u>

<u></u>

FV= PV*(1+g)^n

FV= future value

PV= present value

g= growth rate

n= number of years

FV= 200*(1.07^n)

<u>For example, the population in 5 years:</u>

FV= 200*(1.07^5)

FV= 281

7 0
2 years ago
What is the answer to this problem if you need to find out the area?
PolarNik [594]

Answer:

17.28in

Step-by-step explanation:

To find the area of a triangle, multiply the base by the perpendicular height (the length from the point opposite the base, to the base, which makes a 90-degree angle with the base), and half it:

7.2*4.8=34.56

34.56/2=17.28

8 0
2 years ago
What is the missing constant term in the perfect square that starts with x2+18xx^2+18xx2+18xx, squared, plus, 18, x ?
katrin2010 [14]

Answer:

81

Step-by-step explanation:

Given the expression: x^2+18x

To make it a perfect square, we follow the following steps.

Divide the coefficient of x by 2

  • Coefficient of x=18, 18/2=9

Square It

  • 9 X 9=81

Add it to the expression

  • x^2+18x+81

This is written as a perfect square as: (x+9)^2

The constant term required therefore is 81.

4 0
3 years ago
Read 2 more answers
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