POSSIBLE POINTS: 33.33
homeowner collects data about the amount of oil A, in gallons, used to heat the house per month for 5 months and the
verage monthly temperature t, in degrees Fahrenheit, for those months. The scatter plot shows the data. The function
(t) = -1.4t + 96 best fits these data.

POSSIBLE POINTS: 33.33homeowner Collects Data About The Amount Of Oil A, In Gallons, Used To Heat The

Answers

Answer 1
3 Answers: Choice AChoice CChoice E

=============================================================

Explanation:

Check out the diagram below. I've plotted the regression line A(t) = -1.4t+96 on the same xy grid as the given scatterplot. This line tries to get as close as possible to all of the points.

From here, we plug in each of the temperatures mentioned in the five answer choices (10, 15, 68.5, 55, 0). The outputs form the second column of the table in that same diagram.

For example, if we plugged in t = 10, then,

A(t) = -1.4t+96

A(10) = -1.4(10)+96

A(10) = -14 + 96

A(10) = 82

Telling us that a temperature of 10 degrees F would have a predicted or estimated usage of roughly 82 gallons of oil. This points to choice A being one of the answers.

The other temperature values are handled the same way. Choice B is false because t = 15 does not lead to A(t) = 85. Instead, it's A(15) = 75 meaning it's 10 degrees off the mark.

Choice C is true though. Plugging t = 68.5 into A(t) leads to A(t) = 0.1 which rounds to 0 assuming we're only worried about whole numbers. If your teacher is considering decimal values, then choice C is unfortunately false. For now I'll assume your teacher wants you to round.

If we tried t = 55, then we'd get A(15) = -1.4*55+96 = 19 which is not 5 as we'd want. This rules out choice D.

Lastly, plug in t = 0 to find that A(t) = 96. This leads to choice E being one of the answers.

POSSIBLE POINTS: 33.33homeowner Collects Data About The Amount Of Oil A, In Gallons, Used To Heat The
Answer 2

For the graph attached statements A, C and E are true.

     Function that fits the given data in the graph,

A(t) = -1.4t + 96

Here, t = temperature in Fahrenheit

A(t) = Oil used in gallons

By substituting the value of 't' in the equation we can get the amount of oil used A(t) to heat the house.

Option A

By substituting t = 10°F,

A(10) = -1.4(10) + 96

        = 82 gallons

Therefore, statement is true.

Option B

For t = 15°F,

A(15) = -2.4(15) + 96

        = 60 gallons

Statement is False.

Option C

For t = 68.5°F

A(5) = -1.4(68.5) + 96

       = 0.1 gallons

       ≈ 0 gallons

Statement is True.

Option D

For t = 55°F,

A(55) = -1.4(55) + 96

         = 19 gallons

Statement is False.

Option E

For t = 0°F

A(0)  = -1.4(0) + 96

        = 96 gallons

Statement is true.

     Therefore, statements given in options A, C and E are True.

Learn more,

https://brainly.com/question/4134793


Related Questions

A child is chosen at random from the group.
a)
What is the probability that the chosen child is a girl?
Give your answer as a fraction.
b)
What is the probability that the chosen child is a left-handed girl?
Give your answer as a fraction.

Answers

Answer:

A. 2/5

B. 1/10

Step-by-step explanation:

First off we need to calculate the probability that the chosen child is a girl So to calculate this probability, we have to know the num. of girls which is seen in the table. There are a total of 8 girls.

Therefore the probability of a girl being chosen is equivalent to the number of girls/exact number of children = 8/20 = 2/5 simplified.

Now to find the probability that the chosen girl is left-handed.

The amount of left-handed girls there is only 2. therefore the probability of selecting a left-handed girl will be 2/20 = 1/10 simplified.

please help i seriously don’t know this at all lol

Answers

Answer:

156m^2

Step-by-step explanation:

label the shapes A and B) triangle=shape b and rectangle=shape a

shape a)10x12=120m^2

shape b)(12x6)/2=36m^2

add the values of shape a and b together to get the area of the shape)120+36=156m^2

Kenrick mows lawns on Sundays. Last
week it took him 5 hours to finish.
This week it took only 5 hours. How
many times longer did it take last
week than this week?

Answers

Answer:

0 hours.

Step-by-step explanation:

He finished at the same time than Kenrick finished last week. So, he/she did not delay in mowing the lawn. Hoped this helped.


Divide £945 in the ratio 2:5

Answers

The answer is 675. 2270. 657

Im so confused- please help

Answers

Step-by-step explanation:

a/q

x + x - 3 + 2x - 9 = 36

4x - 12 = 36

4x = 36 + 12 = 48

x = 48/4 = 12

x = 12

so,

x = 12

x - 3 = 12 - 3 = 9

2x - 9 = 2(12) - 9 = 15

we know,

area = 1/2 × base × height

so,

→ 1/2 × 12 × 9

→ 1 × 6 × 9

→ 54 inches.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

The perimeter is 36 so, (x+3)+(2x-9)+x = 36 solve and you will get x=12, then substitute x into the triangle you will have 9,12 and 15. Find the area by using 1/2 x base x height and the area is 54 inches^2 . The answer is (b)

Review the incomplete equation below. Select the number that makes the equation true.
35 × 64 = 1800 +_____ + 120 +20​

Answers

Answer:

300

Step-by-step explanation:

find what's 35 x 64 its 2240

then you add up 1800 and 120 and 20 n you get 1940

Then you subtract to see what's missing and you get

300

if you don't understand pls tell me

Given that f(x) is a cubic function with zeros at -3, 0, and 7, find an equation for f(x) given that f(-8) = -5.

Answers

Answer:

[tex]\huge\boxed{f(x)=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x}[/tex]

Step-by-step explanation:

[tex]f(x)=a(x+3)(x-0)(x-7)=ax(x+3)(x-7)\\\\=ax\bigg((x)(x)+(x)(-7)+(3)(x)+(3)(-7)\bigg)\\\\=ax(x^2-7x+3x-21)=ax(x^2-4x-21)\\\\=(ax)(x^2)+(ax)(-4x)+(ax)(-21)\\\\=ax^3-4ax^2-21ax\qquad(*)\\\\f(-8)=-5[/tex]

[tex]\text{substitute}\ x=-8\\\\f(-8)=(a)(-8)^3-(4a)(-8)^2-(21)(-8)a=-512a-(4a)(64)+168a\\\\=-512a-256a+168a=-600a\\\\f(-8)=-5\\\\\text{therefore}\\\\-600a=-5\qquad|\text{divide both sides by (-600)}\\\\a=\dfrac{-5}{-600}\\\\a=\dfrac{1}{120}[/tex]

[tex]\text{Substitute to}\ (*):\\\\f(x)=\dfrac{1}{120}x^3-4\cdot\dfrac{1}{120}x^2-21\cdot\dfrac{1}{120}x=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x[/tex]

Sierra is getting a loan to purchase a car, but she has a few options for loan
comparing the cost of each loan to determine which loan will cost the least in terms of interest
paid. (Interest is the fee paid for the use of borrowed money, and it is expressed as a
percentage of the amount borrowed multiplied by the amount of time the borrower takes to
repay the loan.) All of the loan offers are for $10,000, and include an upfront fee of $200. They
are all simple interest loans (as opposed to compound interest loans). Loan A is to be paid back
over five years with an annual interest rate of 6 percent Loan B is to be paid back over four
years with an annual interest rate of 4 percent. Loan C is to be paid back over three years with
an interest rate of 5 percent. How Sierra figure out which loan will require the lowest interest
payments?

Answers

Answer:What would be the interest cost(simple interest) for a $3000 loans with a 8% rate for nine months of a years? [Simple interest= Principal Rate Time. In this case, time is 9/12(for 0.75 of a year).

Step-by-step explanation: The cost to borrow the money, expressed as a percentage of the loan. After you enter the details, the auto loan payment calculator automatically ...A finance charge is the dollar amount that the loan will cost you. Lenders generally charge what is known as simple interest. The formula to calculate ...

The table shows the results of a survey of 100 people selected at random at an airport. Find the experimental probability that a person selected at random is going to City D

Answers

Answer: 12% of people responded as City D

Write an equation perpendicular to x-4y=20 that passes through the point (2,-5)

Answers

Answer:

x – 4y = 20

Step-by-step explanation:

Put the line above in Slope Intercept Form

You can do that by solving for y

y = (1/4)x - 5

The slope, m above is 1/4

The perpendicular will a negative inverse slope m = -4

In Slope Intercept Form your perpendicular line starts below

y = -4x + b

Use the coordinates of the given point on the line (2, -5) to insert and solve for b

-5 = -4(2) + b

-5 = - 8 + b

Add 8 to both sides of the equation

-5 + 8 = b

3 = b

Finally your perpendicular line

y = -4x + 3

I hope this helps

Check my arithmetic

Answer:

×4y=20

Step-by-step explanation:

mark me as brainlist please

A jacket is on sale for 20% off. The
original price is $60. What is the new
price? Show your work.

Answers

Answer:

New price = $48

Step-by-step explanation:

New price = Original price - (original price × 20%)

New price = $60 - ($60 × .20)

New price = $60 - $12

New price = $48

Or If the jacket is 20%, you will pay 80% of the cost.

So Original price × the percentage that you paid = New price

                     $60 × 80% = New price

                      $60 × .80 =  $48

HELP PLEASE!!!!!!!!!

Answers

Answer:

2

Step-by-step explanation:

the formula is y^2-y^1 over x^2-x^1

so the y coordinates here are 5 and -5

5--5=10

the x coordinates are -2 and 3

3--2=5

so we are left with 10/5

the answer is 2

hope this helped

No it’s -2 .

The equation is y2-y1/x2-x1 , which means that you would have to substitute in the points to get -5 - 5 / 3 - (-2) .

So then it would be -10/5 which equals -2

What is the midline of the function y=19cos(9x+3)+34 ?
plss help mee

Answers

Factor out the horizontal stretch,

Midline of y=cosx is 0

This graph is shifted 34 units up

Midline is 34

The midline of the function is y = 34.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The midline of a periodic function is the horizontal line that divides the graph of the function into two equal parts.

For a cosine function of the form y = A cos(Bx - C) + D, the midline is given by the equation y = D.

In this case, the function is y = 19cos(9x+3)+34, so the midline is given by the constant term, which is D = 34.

Therefore,

The midline of the function is y = 34.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ3

Analyze the table below and complete the instructions that follow.


Blue
Brown
Green
Total
Male
10
B
1
28
Female
D
15
C
26
Total
18
A
4
E

Solve for the variables in the table.

Answers

Answer:

C

Step-by-step explanation:

A 480 page book is 2.4 cm thick(not counting the thickness of the covers.). Find the thickness of 380 pages of the book​

Answers

Set up a proportion:

2.4/480 = x/380

Cross Multiply:

480x = 912

Divide both sides by 480:

x = 1.9

Answer: 1.9 cm thick

Solve algebraically :)

Answers

Answer:

x > 4

Step-by-step explanation:

Answer:

should be x > 4

Step-by-step explanation:

What is the solution of the system of inequalities y>x^2+6x+10 y<-x^2-8x-14

Answers

Answer: hopefully this helps!

It takes 10 pounds of potatoes to make 15 pounds of mashed potatoes. At this rate, how many pounds of mashed potatoes can be made with 15 pounds of potatoes?

Answers

Answer:

22.5 pounds of mashed potatoes will be made

8 times the sum of 2 and a number that is 32

Answers

Answer:

Step-by-step explanation:

d) 8(n+2) = 32

Derrick earns $14 per hour working at Pizza Palace. What will Derrick's new hourly rate be after a 4.5% raise.

Answers

14x4,5÷100=0,63

14+0,63=14,63

Triangles FEG and FDH are similar. If segment DH is 28 units, what is the
measure of segment EG?

Answers

28 units i think. Since they are similar

Find the slope of the line
A -3
B 3
C -2
D 2​

Answers

Y=-2x-10
So it would be -2

which two expressions are equivalent to 7(t + 5)?


A). 7 • 5 • t

B). 7 • 5 + t

C). 7 • 5 + 7 • t

D). (5 + t) • 7

E). 5(t + 7)



Answers

Answer:

7.5+7.t

and

(5+t).7

are equivalent to 7(t+5)

Option D and E are equivalent to 7(t + 5) That is :

(5 + t) • 7 and 5(t + 7)

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

The given equation is :

7(t + 5)

7(t+5) multiply 7 with inside the parenthesis

7(t+5) = 7t + 7x5

this result is equivalent to option D and E which will give the same result.

Therefore, Option D and E are equivalent to 7(t + 5).

Read more about expressions at :

https://brainly.com/question/12030750

#SPJ2

henry is designing a tablecloth for his dining room table. He wants to buy fabric in his favorite color to make the tablecloth. use the dimensions below to determine how much fabric he need to buy. 12 feet 7 feet

Answers

Yes yes yes yea yes yes yes yes ye

explain plz branist is u get it right

Answers

well the answer is 107.8823529411764705 (repeating decimal)

What is the meaning of algebra and expressions

Answers

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x2 − 2xy + c is an algebraic expressio

Answer:

Algebra is a branch of mathematics that substitutes letters for numbers. Algebra is about finding the unknown or putting real-life variables into equations and then solving them. Algebra can include real and complex numbers, matrices, and vectors. An algebraic equation represents a scale where what is done on one side of the scale is also done to the other and numbers act as constants.

Expressions is a Numbers, symbols and operators (such as + and ×) grouped together that show the value of something.  

Examples:

• 2 + 3 is an expression

• 3 − x/2 is also an expression

Elijah has a muffin and a banana. To find the banana's weight, Elijah uses a balance scale twice and the scale is balanced both times as shown below. How much does the banana weigh? please help me I don't get it

Answers

Answer:

the scale is balanced both times as shown below.

No scale is shown

Step-by-step explanation:

Help me please guys hurry!!!

Answers

Answer:

1. False 2. 7.11 > -7.1 3. -3 < -1 and -3 <= -1 <= is less than or equal to. 4. m + 7 => 8.2 5. {3, 4} Hope this helps even though I am late!

Step-by-step explanation:

find the sum of 6/12+1/2​

Answers

6/12 + 6/12 = 1
1/2 = 6/12

Answer:

1

Step-by-step explanation:

[tex] \frac{6}{12} + \frac{1}{2} \\ = \frac{1}{2} + \frac{1}{2} \\ = \frac{2}{2} \\ = \frac{1}{1} \\ = 1[/tex]

What is 3/1,000 as a decimal

Answers

Answer: 3/1000 as a decimal is 0.003.

Explanation;

3/10 = 0.3

0.3/10 = 0.03

0.03/10 = 0.003

The correct answer to this question is 0.003.
Other Questions
i have a deadlinendnsk help! Write the equation of the line that passes through the given points (9,4) and (2,13) what countries did the united states and its allies defeat in world war ii? Answer the question in the picture below What is mode in math. find 3 1/6 + (-4 1/3). How do you solve for TSU? ill make you brainleist By copying and completing the working below, work out 3 + 1 16 Give your answer as a fraction in its simplest form. 6.Las personas en los supermercados7. Dnde(vivir) ellos? NEED ASAP PLSHow did German immigrants contribute to the success of the middle colonies? What is the area of this triangle A square tile has a side length of 12 cm. What is the area of the tile?48 square centimeters72 square centimeters24 square centimeters144 square centimeters How do you find function f for piecewise function. Q5. Here is a list of eight numbers(Total for questio4 5 4 25 29 30 33 39 40From the list, write down(i) a factor of 20(ii) a multiple of 10(iii) the prime number that is greater than 15(Total for Questimaths What is the equation of the line that passes through the point (7,-6)(7,6) and has a slope of -22? Train car A is at rest when it is hit by train car B. The two cars, which have the same mass, stick together and move off after the collision. How does the final velocity of train cars A and B after the collision compare to the initial velocity of train car B before the collision?. How to calculate work in chemistry. Whats 16 x 32 what does it equal PLEASE HELP ASAP Write the correct verb form in either the Preterite or Imperfect tense to thefollowing sentences.1) Yo ___________________ (llegar) temprano a la oficina esta maana.2) Ella ________________(preparar) el caf ayer.3) Todas las maanas, Mara y Marta (caminar) por el parque.4) Nosotros____________(descubrir) el dinero anoche.5) Ustedes________________(mirar) el Partido cada domingo.6) Usted______________(decidir) en la universidad?7) Usted_________________(esperar) dos horas el lunes pasado.8) Todos los veranos nosotros ___________ (viajar) a la playa.9) Las chicas _____________(leer) todos los libros de Harry Potter. Para su clase deliteratura el trimestre pasado.10) Mis abuelos_____________(construir) su casa hace muchos aos.11) Yo____________________(jugar) el baloncesto cuando era nio.12) Tim________________(hacer) los deberes despus de llegar casa.13) Javier______________(traducir) el artculo ese da.14) Joanna y Maribel __________(venir) del aeropuerto.15) No yo __________(entender) lo que me deca. Find the product. Simplify your answer.(3p2)(4p1)