A researcher is studying the relationship between the number of TVs owned by a family and the size of the family's electric bill. After collecting data, he finds that the relationship is best modeled by the equation B = 2.43T + 95.66, where B is one month's electric bill in dollars and T is the number of TVs owned by the family. Which of these is a good interpretation of the y-intercept of this model?

Answers

Answer 1

Answer:

Step-by-step explanation:

No choice is given but here is the general interpretation.

Y-intercept is where the plot crosses the y-axia at x=0. In this case, x is T which represents number of TVs owned by the family. T=0 meaning there is no TV and B = 96.66 is the one month's electric bill in dollars for all other appliances in the home.

Answer 2

Given function

B=2.43T+95.66

Now

Compare to slope intercept form y=mx+b

Slope=m=2.43Y intercept=b=95.66

Here y intercept may be the fixed charge .


Related Questions

PLEASE HELP What is the area of the trapezoid?

Answers

36

Step by step explanation:




Answer:

Step-by-step explanation:

[tex]\text{Area of trapezoid = $\dfrac{(a+b)*h}{2}$}[/tex]

a and b are the length of the parallel sides.

a = 8 + 4 + 4 = 16 in

b = 8 in

h = height  = 6 in

[tex]Area = \dfrac{(8+16)*6}{2}\\\\\\=\dfrac{24*6}{2}\\\\=24*3\\\\= 72 \ in^{2}[/tex]

Can you help me solve a question?

Answers

Answer:

Yeah sure

Step-by-step explanation:

Answer:

Yes what is it?

Step-by-step explanation:

!ask a question

Find the domain over which the function y = x + 6x is monotonic increasing.

Answers

Answer:

x > -3

[tex]\sf (-3, \infty)[/tex]

Step-by-step explanation:

Domain: input values (x-values)

Monotonic increasing:  always increasing.  
A function is increasing when its graph rises from left to right.

The graph of a quadratic function is a parabola.  If the leading term is positive, the parabola opens upwards.  The domain over which the function is increasing for a parabola that opens upwards is values greater than the x-value of the vertex.

Vertex

Standard form of quadratic equation:  [tex]\sf y=ax^2+bx+c[/tex]

[tex]\textsf{x-value of vertex}=\sf -\dfrac{b}{2a}[/tex]

Given function:

[tex]\sf y=x^2+6x[/tex]

Therefore, x-value of function's vertex:

[tex]\sf \implies x= -\dfrac{6}{2}=-3[/tex]

Final Solution

The function is increasing when x > -3

[tex]\sf (-3, \infty)[/tex]

Find the volume of a right circular cone that has a height of 13.1 in and a base with a diameter of 5.7 in

Answers

Answer:

Step-by-step explanation:

1) Divide the diameter in half to make the radius, which equals 2.85 as r.

2) Plug in the radius(r) and height(h) with the correct numbers.

3) Simply solve

V = π(2.85)² × 13.1 ÷ 3

V= 25.52 × 13.1 ÷ 3

V= 334.312 ÷ 3

V= 111.4373+

V≈ 111.43 1) Divide the diameter in half to make the radius, which equals 2.85 as r.

2) Plug in the radius(r) and height(h) with the correct numbers.

3) Simply solve

V = π(2.85)² × 13.1 ÷ 3

V= 25.52 × 13.1 ÷ 3

V= 334.312 ÷ 3

V= 111.4373+

V≈ 111.43 in^3

Step-by-step explanation:

please mark me as brainlest

Diego and Lin have savings accounts. Diego had $40 in his account 6 months ago. Now Diego has $250 in his savings account. Lin currently has $100 in her account. She plans to add $50 per month. 1. Write a system of equations to represent Diego and Lin’s savings accounts.

Answers

The equation that can be used to represent Diego's and Lin's savings account is 250 = 40 + 6x and Total savings= 100 + 50x respectively.

How to write equation

let

x = amount added each month

Diego:

6 months ago = $40

Now = $250

250 = 40 + 6x

250 - 40 = 6x

210 = 6x

x = 210/6

x = $35

Lin:

Now = $100

Future = $50 per month

let

x = number of months

Total savings= 100 + 50x

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If you were writing a two-column proof proving that ANQP APON, which of the following statements would have
"reflexive property of congruence" as its reason?
A. ON ON
B. OP=OP
C. OP=OP
D. NP NP

Answers

Answer:

NP NP

Step-by-step explanation:

this is the only solution that works for the question

The answer is D: NP NP

10. Ryan inherited land from his grandfather. He decided to sell the land for $160,000, then place

the money in a new account that earns 1. 2% interest compounded bimonthly. How much

interest will he have earned after 30 years?

Answers

The amount of interest Ryan would earn at the end of 30 years given the interest rate is $69,250.27.

What is the interest rate on the new account?

When an account earns an interest that is compounded bimonthly, it means that it earns an interest every 2 months.

The formula that can be used to determine the interest earned is:

Future value - amount deposited

FV = P (1 + r)^nm

FV = Future value P = Present value R = interest rate = 1.2/6m = number of compoundingN = number of years

FV = 160,000(1.002^180) = $229,250.27

Interest = $229,250.27 -  $160,000 = $69,250.27

To learn more about future value, please check: https://brainly.com/question/18760477

The population of Atlanta Georgia in the year 2000 was 417,000 people. If the population increases at a rate of 1.2% each year, find the approximate population of Atlanta in
2020.

Answers

Step-by-step explanation:

geometric sequence :

a0 = 417,000

a1 = a0 × 1.012 (that is adding 1.2% for 2001)

a2 = a1 × 1.012 = a0 × 1.012²

an = a0 × 1.012^n

a20 (for the year 2020 after starting in 2000) =

= a0 × 1.012²⁰ = 417,000 × 1.012²⁰ = 529,354.1291...

if we need to round that to a full number, we get

≈ 529,534

our round it to full thousands

≈ 530,000

i don't know what result format you need. please pick the required one.

Anyone know this answer too??

Answers

Answer:

[tex]x = -21[/tex]

Step-by-step explanation:

[tex]\frac{294}{x} = -14[/tex]
Cross multiply:
[tex]-14x = 294[/tex]
[tex]x = -21[/tex]

find two z values so that the middle 65% of the area is bounded by them

Answers

Answer: Firstly in this question, we need to solve for

α

which is the part of the distribution of which we not looking for.

we can do this with the sum:

α

=

1

0.76

=

0.24

as

0.76

=

76

%

we also know that our Standard Normal Distribution is symmetric, so we must divide that

α

to be split on either side of our distribution. so we solve for:

α

2

=

0.24

2

=

0.12

then we find a correlating

z

-score for the value

0.12

and we get that

z

=

1.175

and

z

=

1.175

This becomes easier to understand when visualized, so observe how we do this sum.

Step-by-step explanation:

Main Factoring Special Case Quadratics

Answers

1)

[tex]81c {}^{2} - 4 = (9c - 2)(9c + 2)[/tex]

since it is in the form of:

[tex]x {}^{2} - y {}^{2} = (x - y)(x + y)[/tex]

2)

[tex]75x {}^{2} - 27y {}^{2} = (5 \sqrt{3} x - 3 \sqrt{3} y)(5 \sqrt{3} x + 3 \sqrt{3} y)[/tex]

3)

[tex]z {}^{2} + 12z + 36[/tex]

[tex]z {}^{2} + 6z + 6z + 36[/tex]

[tex]z(z + 6) + 6(z + 6)[/tex]

[tex](z + 6)(z + 6)[/tex]

[tex](z + 6) {}^{2} [/tex]

4)

[tex]4f {}^{2} + 18f + 18f + 81[/tex]

[tex]2f(2f + 9) + 9(2f + 9)[/tex]

[tex](2f + 9)(2f + 9)[/tex]

[tex](2f + 9) {}^{2} [/tex]

5)

[tex]49a {}^{2} - 14a + 1[/tex]

[tex](7a - 1) {}^{2} [/tex]

6)

[tex]x {}^{4} - 16[/tex]

[tex](x {}^{2} - 4)(x {}^{2} + 4)[/tex]

The cost of 3 scarves is $26.25. What is the unit price?
Answer : $8.75

Answers

Answer:

$8.75

8.75x3=26.25

Step-by-step explanation:

Answer:

$8.75

Step-by-step explanation:

To find out the unit price, take the whole and divide it by the number of units. In this case the whole cost is $26.25. There are 3 scarves in a whole. Divide $26.25 by 3 to find out the cost of the unit price. It is $8.75. Knowing how to figure out a unit price for something is very useful. For example, if you wanted to buy some Pepsi but didn't know if the 24-pack, 12-pack or 36-pack was a better deal, you can find out the unit price to see which is cheaper. For example, if the 24-pack of Pepsi cost $5, the unit price per can would be .21. A 12-pack at$ 2.75 would be .22 per can. A 36-pack at $6.50 is .18 per can. This tells you that you'd save more money per can if you bought the 36-pack of Pepsi.

A two-sample t test of the hypothesis H0: mu1 - mu2 = 0 versus HA: mu1 - mu2 > 0 produces a p-value of 0.03. Which of the following must be true? I. A 90 percent confidence interval for the difference in means will contain the value 0. II. A 95 percent confidence interval for the difference in means will contain the value 0. III. A 99 percent confidence interval for the difference in means will contain the value 0.

Answers

Considering the p-value of of the test, it is found that the correct option is:

III. A 99 percent confidence interval for the difference in means will contain the value 0.

What is the p-value and the confidence interval?If the p-value is less than the [tex]\alpha[/tex] level, given by 1 subtracted by the confidence level, it does not contain the value tested at the null hypothesis.If it is more, it contains the value tested at the null hypothesis.

In this problem, we have that the p-value is of 0.03, hence the confidence interval will contain the value of 0, tested at the null hypothesis, for confidence levels above 97%, hence option III is correct.

More can be learned about p-values at https://brainly.com/question/13873630

The diagram shown is two intersecting lines. The measure of 5 is 47°.

Answers

a. Using the vertical angles theorem, m∠7 = 47°.

b. Based on the definition of linear pair, the equation that can be used to solve for x is: 2x - 5 + 47 = 180.

c. x = 69

What is a Linear Pair?

A linear pair is two angles whose sum equals 180°.

Given the image, where:

m∠5 = 47°

a. ∠5 and ∠7 are vertical angles. Since verticl angles are congurent, therefore:

m∠7 = m∠5 = 47°

m∠7 = 47°

b. m∠6 = (2x - 5)°

m∠6 + m∠5 = 180° (linear pair)

Substitute

2x - 5 + 47 = 180 (equation that can be used to solve x)

c. 2x - 5 + 47 = 180

2x + 42 = 180

2x = 180 - 42

2x = 138

x = 138/2

x = 69

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Jennifer is looking to lease a car. bob’s auto has a car available with a money factor of 0.00344. aaa auto has the exact same car available with a money factor of 0.00313. which of the following statements is true? a. the lower money factor with bob’s auto will give jennifer the lowest monthly payment. b. the lower money factor with aaa auto will give jennifer the lowest monthly payment. c. the higher money factor with bob’s auto will give jennifer the lowest monthly payment. d. the higher money factor with aaa auto will give jennifer the lowest monthly payment.

Answers

Answer:

B. The lower money factor with AAA Auto will give Jennifer the lowest monthly payment

Write x=2 in slope intercept form

Answers

When x=a the slope is undefined . And when y is b the slope is zero

solve pls brainliest

Answers

Multiply 1/4 by 2/2 to get the same denominator of 8. Then the first blank would be 2/8 then your answer is 3/8

Evaluate the expression when x = 3.

x² + 6x - 3

Answers

Answer:

X=3

[tex] {3}^{2} + 6(3) - 3 \\ 9 + 18 - 3 \\ 27 - 3 \\ = 24[/tex]

Drag the measurements to the containers to show equal length.

Answers

The measurements that show equal length is 15 yd and 540 in, 195 ft and 2340 in, 5280 yd and 15840 ft

What is an equation?

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

1 ft = 12 in; 1 yd = 3 ft and 1 yd = 36 in.

Hence:

15 yd = 15 yd * 36 in per yd = 540 in

195 ft = 195 ft * 12 in per ft = 2340 in

5280 yd = 5280 yd * 3 ft per yd = 15840 ft

The measurements that show equal length is 15 yd and 540 in, 195 ft and 2340 in, 5280 yd and 15840 ft

Find out more on equation at: https://brainly.com/question/2972832

The radius of Circle A is 6 cm. The radius of Circle B is 2 cm greater than the radius of Circle A. The radius of Circle C is 3 cm greater than the radius of Circle B. The radius of Circle D is 2 cm less than the radius of Circle C. What is the area of each circle?

Answers

Answer:

circle a: 3.14x36= 113.04

circle b: 3.14 x 64 = 200.96

circle c: 3.14 x 121= 379.94

circle d : 3.14 x 81 = 254.34

Step-by-step explanation: circle a is 6cm, circle b is 8 cm, circle c is 11 cm and circle d is 9cm.

and (Area = π r²) example: circle a 6²=36 and π=3.14 so 3.14x36=113.04

Work out m and c for the line: 2 x + 3 y + 4 = 0

Answers

Answer:

18marrsm is waiting for your help.

Add your answer and earn points.

Answer

1

jimrgrant1

Genius

30.5K answers

219.5M people helped

Answer:

m = - , c = -

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y + 4 = 0 ( subtract 2x + 4 from both sides )

3y = - 2x - 4 ( divide all terms by 3 )

y = - x - ← in slope- intercept form

with slope m = - and y- intercept c = -

Elissa needs 8.5 inches of thread to make a friendship bracelet. What is the maximum number of bracelets she can make with 40 inches of thread?​

Answers

Answer:

4

Step-by-step explanation:

Elissa uses 8.5 inches of thread per bracelet.

She has 40 inches of thread.

To find the maximum number of bracelets she can make, we need to divide.

40 / 8.5 = 4.70588...

We cannot have an unfinished bracelet, so we have to round down.

She can make 4 bracelets with 40 inches of thread.

Answer:

4 bracelets

Step-by-step explanation:

if 8.5 inches makes 1 friendship bracelet

what about 40inches

8.5inches=1 bracelet

40 inches=?

cross mulltiply

40x1

-------

8.5

=4 12/17 bracelets

12/17 of a bracelet is not a complete one

=4 complete friendship bracelets

aaaaaand 4 happy friends

I need help!!!!

The square below has the given side lengths. x is positive

Answers

Answer:

Value of X: X=2

Length of One Side: 31

Area: 961u^2

Perimeter: perimeter = 124

Step-by-step explanation:

Set the sides equal to each other, simplify and then use quadratic equation. One result is positive and the other is negative, shape's sides have to be positive so use the positive value for X.

Answer:

See below, please

Step-by-step explanation:

This square

[tex]3 {x}^{2} + 6x + 7 = 2 {x}^{2} - 2x + 27[/tex]

[tex](3 {x}^{2} - 2 {x}^{2} ) + (6x + 2x) + (7 - 27) = 0[/tex]

[tex] {x}^{2} + 8x - 20 = 0[/tex]

[tex](x + 10) \times (x - 2) = 0[/tex]

Hence,

[tex]x1 = 2[/tex]

[tex]x2 = - 10[/tex]

Because x is positive, So,

[tex]x = 2[/tex]

Then we know

The length of one of the sides

[tex] = 3 {x}^{2} + 6x + 7 = (3 \times {2}^{2}) + (6 \times 2) + 7 = (3 \times 4) + 12 + 7 = 31[/tex]

The area of the square

[tex] = {31}^{2} = 961[/tex]

The perimeter of the square

[tex] = 31 \times 4 = 124[/tex]

how many different 3 digit numbers can be formed using the digits 9,3,4,7 and 6? assume no number can be used more than once

Answers

Answer:

57

Step-by-step explanation:

976/974/973/967/964/963/947/946/943/937/936/934/796/794/793/769/764/763/749/746/743/739/736/734/697/694/693/679/674/673/649/647/643/639/637/634/497/496/493/479/476/473/439/437/436/397/396/394/379/376/374/369/367/364/349/347/346

The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below:

A right angle triangle is shown with the Earth at the right angle. The acute angle between the line joining the Earth and the m

A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the moon and the Sun.
(It is an answer you have to type)

Answers

Answer:

distance between moon and sun= y/sin x

Step-by-step explanation:

by use of trigonometric ratios SOHCAHTOA

dat stuff only works on right angled triangles so that is what gave it away

you will use

Sin x= y/distance between moon and Sun

distance between moon and sun= y/sin x

based on my the sketch in my mind hope am right

Lee says 20% is more than 70% of 70% of 20. Is lee correct?

Answers

Answer:

yes

Step-by-step explanation:

75/100×75/100=49/100

49/100×20=8.58.5 % Is more than 20%

4) Luther works at One Stop Smoothie Shop. At work today, he made 20 Berry Blast
smoothies. In each Berry Blast smoothie, there are 3 strawberries and b blueberries. Write
two expressions that represent the total number of berries in the Berry Blast smoothies that
Luther made today.

Answers

The expressions that represent the total number of berries in the Berry Blast smoothies that Luther made today is 3 + b = 20

How to write system of equations

Let the number of strawberries be x

Let the number of b berries be y

If at work today, he made 20 Berry Blast smoothies, then;

x + y = 20

SInce x = 3 and y = b, then;

3 + b = 20

The expressions that represent the total number of berries in the Berry Blast smoothies that Luther made today is 3 + b = 20

Learn more on system of equation here: https://brainly.com/question/847634

Two sides of an isosceles triangle have lengths 12 and 18. What
is the greatest possible value of the perimeter of the triangle?

Please help me.

Answers

The greatest possible value of the perimeter of the triangle is 48

What is the perimeter of a triangle?

The perimeter of a triangle is the sum of the lengths of the three sides of the triangle.

An isosceles triangle has 2 equal sides and the length of the 2 sides must be greater than the length of one.

Perimeter A= 12×2+18=42

Perimeter B= 12+18×2=48

Therefore the greatest possible perimeter of the triangle is Perimeter B (48) since the sum of lengths of the two equal sides(18) is greater than the third side (12) and 48 is greater than 42.

Please read more about perimeter of triangle here:

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per
Write your answer as a fraction or as a whole or mixed num
1
6
km
13
1
km
1
13
6
km
13
6
1 18 km
13

Answers

Answer:

5 11/13km

Step-by-step explanation:

4 ( 1 6/13)

4× 19/13

= 5 11/13

please help if you are good at maths
on the image.

Answers

Answer:

x=74

Step-by-step explanation:

if angle ABE = 148. then, angle EBC = 32

and for angle ECB an BEC,

180-32 = 148

148/2 = 74

so, angle ECB and angle BEC  = 74

we know, angle BCE and angle CEF are equal because they are alternate angles

so, x = 74

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