A homeowner collects data about the amount of oil, in gallons, used to heat the house per month for 5 months and the average monthly temperature, in degrees Fahrenheit, for those months. The scatter plot shows the data. The function best fits these data.

Use the function A(t)to determine which of the following statements are true. Select all that apply.


A The homeowner would use about 82 gallons of oil to heat the house for a month with an average temperature of 10 °F.The homeowner would use about 82 gallons of oil to heat the house for a month with an average temperature of 10 ° F.

B The homeowner would use about 85 gallons of oil to heat the house for a month with an average temperature of 15 °F.The homeowner would use about 85 gallons of oil to heat the house for a month with an average temperature of 15 ° F.

C The homeowner would use about 0 gallons of oil to heat the house for a month with an average temperature of 68.5 °F.The homeowner would use about 0 gallons of oil to heat the house for a month with an average temperature of 68.5 ° F.

D The homeowner would use about 5 gallons of oil to heat the house for a month with an average temperature of 55 °F. The homeowner would use about 5 gallons of oil to heat the house for a month with an average temperature of 55 ° F.

E The homeowner would use about 96 gallons of oil to heat the house for a month with an average temperature of 0 °F.

Answer:

$100.66

Step-by-step explanation:

First you have to figure out how much she is making from all four tickets, so 4 x 359.50 is $1,438

She makes 7% commission. In decimal form, that is .07. In order to find what she made, multiply .07 by $1,438.

Olivia makes $100.66

Answer:

see explanation

Step-by-step explanation:

(a)

sum the parts of the ratio, 3 + 2 + 1 = 6 parts

The sum of the 3 angles in a triangle = 180°  , then

180° ÷ 6 = 30° ← value of 1 part of the ratio , then

3 parts = 3 × 30° = 90°

2 parts = 2 × 30° = 60°

1 part = 30°

The angles in the triangle are 90°, 60°, 30°

Thus the triangle is right angled

(b)

The shortest side is opposite the smallest angle, that is opposite 30°

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex]

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{opposite}{25}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2 × opposite = 25 ( divide both sides by 2 )

opposite = 12.5

That is shortest side is 12.5 cm

Answer:

Step-by-step explanation:

-6x + y  = -6                     Add 6x to both sides

y = 6x - 6                         So the slope of the new line is 6

The point the new line has to go through is (-4,0) That will determine b.

y = 6x - 6

x  = - 4

y = 0

0 = 6*(-4) + b                    Combine

0 = - 24 + b                      add 24 to both sides

24 = b  

Answer:  y = 6x + 24

Answer:  They are the same equivalent price, $0.95/liter.

Step-by-step explanation:

Choices:  $3.58 per gallon, or $3.79 for 4 L.

========

We need to convert one of the volumes.  I'll convert gallons to liters.

By definition, 1 gallon = 3.785 liters

Make this into a conversion factor:

We can make it either:

1)   (3.785 liters/gallon), or

2)  (1 gallon/3.785 liters)

Now convert the $3.58/gallon into dollars/liter.  We'll use the second conversion factor so that gallons cancels out when we multiply:

($3.58/gallon)*(1 gallon/3.785 liters) = $0.95/liter.

The grocery store milk must also be converted to a price expressed per 1 liter:

$3.79 for 4 L

= $0.95/liter.

They are the same equivalent price, $0.95/liter.

Answer:

Option B is correct.

Step-by-step explanation:

Our expression is:

Let's check all of our options to see if any option is accurate.

Option A:

(n + 8)(n + 11)

=> n² + 11n + 8n + 88

=> n² + 19n + 88

n² + 19n + 88 ≠ n² + 26n + 88

Option B:

(n + 4)(n + 22)

=> n² + 22n + 4n + 88

=> n² + 26n + 88

=> n² + 26n + 88 = n² + 26n + 88 ✔

Option C:

(n + 4)(n + 24)

=> n² + 24n + 4n + 96

=> n² + 28n + 96

=> n² + 28n + 96 ≠ n² + 26n + 88

Option D:

(n + 8)(n + 18)

=> n² + 18n + 8n + 144

=> n² + 26n + 144

=> n² + 26n + 144 ≠ n² + 26n + 88

Conclusion:

So, after working on this problem, we can conclude that Option B is our answer. Hoped this helped

Answer:

B

Step-by-step explanation:

edge 22'

Answer:

the answer is -2

Step-by-step explanation:

-2........

Lets look at each one:

A. 7x+x+8=16x

This left side will be 8x + 8, so its wrong.

B. x+x+1+1=2x+2

This left side will be 2x + 2, it is right!

C. 5(x+3)=5x+5

This left side will be 5x+15, so its wrong.

D. 9x−18=9(x+2)

This left side will be 9(x-2), so its wrong.

Our answer is going to be B) x+x+1+1=2x+2

x + x = 2x

1 + 1 = 2

2x + 2

I hope this helps! :)

Answer:

12,423 i think

1/3 is 183

164x50=8200

549-347=202

202x20=4040

183+8200+4040=12423

The number of stamps Josef received out of the total stamps of 2,500 is 1,500 stamps

let

x = total number of stamps

Josef share = 60% of x

= 0.60 × x

= 0.60x

Mai = 40% of x

= 0.40x

Josef = 0.40x + 500

Total = Josef + Mai

x = (0.40 + 500) + 0.40x

x = 0.40x + 500 + 0.40x

x = 0.80x + 500

x - 0.80x = 500

0.20x = 500

x = 500/0.20

x = 2,500

Josef share = 60% of x

= 60/100 × 2,500

= 0.60 × 2,500

= 1,500 stamps

Therefore, the total number of stamps shared between Josef and Mai is 2,500

Read more:

https://brainly.com/question/16450098

Answer:

A:use SAS to show triangle PRQ is congruent to triangle SR.P

Answer:

3x-4y=19

Step-by-step explanation:

Hi there!

We want to write the equation of the line in standard form that passes through the point (1, -4) and has the slope of 3/4

Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negative

First, in order to find ax+by=c, we'll need to get slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Since we already know the slope (3/4), we can substitute it into the formula for y=mx+b.

y=3/4x+b

Now we need to solve for b

Since the equation passes through the point (1, -4), we can use it to solve for b

Substitute 1 as x and -4 as y.

-4=3/4(1)+b

Multiply

-4=3/4+b

Subtract 3/4 from both sides

-19/4=b

Now substitute -19/4 as b into the equation

y=3/4x-19/4

Now we have the equation in slope-intercept form, but remember, we want it in standard form

Since x and y are on the same side in standard form, subtract 3/4x from both sides

-3/4x+y=-19/4

Remember that a cannot be negative, and the coefficients are integers (they cannot be fractions)

So in order to clear the fractions and change the sign of the equation, multiply both sides by -4

-4(-3/4x+y)=-4(-19/4)

Multiply

3x-4y=19

Hope this helps!

Answer:

9

Step-by-step explanation:

just count it!!

hope its help

Answer:

Help with what is it mental help? Or no cause I’ve dealt with that a lot

Step-by-step explanation:

sin(x) = 1/2 and the angles must be between 0 and 180.

We can take the arcsin(1/2) and we get 30 degrees, but that is only half of the answer.

There are two angles for which the y value on the unit circle outputs 1/2.

To find this other value which is in the second quadrant: 180 - 30 = 150.

The other angle is 150 and can be checked by solving sin(150) which outputs 1/2 so we know have the correct answer.

Smaller =  30   Larger = 150.

P.S make sure your calculator is in degree mode.

Answer:

a = 80 shares of stock A

b =120 shares of stock B

Step-by-step explanation:

Solved by creating a system of equations

Let a be number of shares of stock A

B number of shares of stock B

a + b = 200

9.5a + 27b = 4000

Solving the two equation

a = 80 shares of stock A

b =120 shares of stock B

Answer:

a. Use two sets of coordinates to write an equation to describe the relationship.

m = [tex]\frac{24-16}{3-2} = \frac{8}{1}[/tex]

y = 8x

b. Interpret the equation in words.

Each roller coaster car holds  8 passengers.

Step-by-step explanation:

Given that:

[{5² × 6²}/{(30)⁴}]³

⇛[{5² × 6²}/{(5 × 6)⁴}]³

⇛[{5² × 6²}/{(5⁴ × 6⁴}]³ [∵(ab)ᵐ= aᵐbᵐ]

⇛[{5²/5⁴} × {6² × 6⁴}]³

⇛[5^(2-4) × 6^(2-4)]³ [∵aᵐ/aⁿ = aᵐ-ⁿ]

⇛[5^-2 × 6^-2]³ [∵aᵐbᵐ = (ab)ᵐ]

⇛[(5×6)^-2]³

⇛[30^-2]³

⇛[30]^-2×3 [∵(aᵐ)ⁿ = aᵐⁿ]

⇛30^-6. [∵(a^-ⁿ = 1/a^n]

⇛1/(30)⁶ ≈ 72 90 00 000 Ans.

Hope this helps!!

If you have any doubt, then you can ask me in the comments.

Answer:

the mean of the red is 1.75, while the mean of the purple is 2.25

Step-by-step explanation:

LMK if this helps!

hope it does!

The mean number of red (1.75) is 0.5 less than the mean number of purple.

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

Candy comes in large bags of 75 candies, a 1 pound bag, and large bags with multiple fun-size packs.

Jenny randomly opened 12 of the fun-size packs of candies from a bag.

The mean number of reds will be

[tex]\rm Mean_{r} = \dfrac{2+1+4+2+1+2+1+0+1+3+3+1}{12}\\\\Mean_{r} = \dfrac{21}{12}\\\\Mean_{r} = 1.75[/tex]

The mean number of purples will be

[tex]\rm Mean_p = \dfrac{2+2+1+3+5+2+2+2+4+2+2+0}{12}\\Mean_p = \dfrac{27}{12}\\\\Mean_p =2.25[/tex]

The mean number of red (1.75) is 0.5 less than the mean number of purple.

More about the mean link is given below.

https://brainly.com/question/521501

Answer:

3, 6, 7, 9

Step-by-step explanation:

We can take a look at each value from 1 to 10

We see that for 3, 6, 7, and 9 the decimal repeats forever for some numerators. For example, 1/3 repeats forever, 4/6 repeats forever, 5/7 repeats forever, 1/9 repeats forever.

Answer:

OC. 5:17 compares the amount og goldfish he has to the amount of total animals he has

Answer:

r=1/4

Step-by-step explanation:

Answer:

r = 1/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 2r from both sides.

Step 3: Subtract 1/3 from both sides.

Step 4: Multiply both sides by -3/4.

Therefore, r = 1/4.

Using sampling concepts, it is found that a Stratified sample was used.

Samples are classified as:

In this problem, the population is divided into groups, according to the three different age categories, and then 10 people from each category is selected(that is, not all members), hence it is a stratified sample.

A similar problem is given at https://brainly.com/question/23106151

Answer:

iro 50*.6 gives us 30 miles

andkalini drives 65 for .5 65*.5= 32.5 miles

so kalini drove further

f(p) where p is the price in thousands. f(250) means the average number of days before being sold for $250,000. Lets take a look at the answers and see which fits the best:

1. The house sold for $250,000. (This is what the 250 stands for, but we need to find what f(250) means and not just 250)

2. The house stayed on the market for an average of 250 days before being sold. (Nope, not even close)

3. This is the average number of days the house stayed on the market before being sold for $250,000. (Yes! This seems right, f(250) is the average number of days before being sold for $250,000)

4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold. (Nope, we are not told anywhere that it takes 250 days to be sold)

This means that our answer has to be 3) This is the average number of days the house stayed on the market before being sold for $250,000.

I hope I've helped! :)

Answer:

f(p) where p is the price in thousands. f(250) means the average number of days before being sold for $250,000. Lets take a look at the answers and see which fits the best:1. The house sold for $250,000. (This is what the 250 stands for, but we need to find what f(250) means and not just 250)2. The house stayed on the market for an average of 250 days before being sold. (Nope, not even close)3. This is the average number of days the house stayed on the market before being sold for $250,000. (Yes! This seems right, f(250) is the average number of days before being sold for $250,000)4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold. (Nope, we are not told anywhere that it takes 250 days to be sold)This means that our answer has to be 3) This is the average number of days the house stayed on the market before being sold for $250,000.

Answer:

wow

Step-by-step explanation:

Answer:

a)300 quarts per hour

b)4.73 (rounded to the nearest hundredth) liters or 5 (rounded to the nearest whole number liters

Step-by-step explanation:

a)f the heart pumps 5 quarts per minute, and we want it in quart per hour, all we have to do is multiply 5x60 (quarts-per-minute x minutes-per-hour) =300 quarts per hour

b)1 quart is .946liters

using that conversion we get that 5 quarts is ≈4.73 litera

To solve this problem you will need this tool, it is the formula of speed :

speed = distance/time

(I suggest you to remember this one for life, it is a really useful one)

Let's check how long that Jackie nice dude will take to finish the race...

Jann avery runs at an average of 6 mph (miles per hour), so we already got the speed for our formula. And she will finish the race in 2.1 hours so we got the time. What do we miss ? The distance.

Let's write what we already know to solve this puzzle :

6 = d / 2.1

Where d is that unknown distance..  So we are in front of an equation here let's solve it :

d / 2.1 = 6

d = 6 * 2.1

d = 12.6 miles

Now that we know that distance, for the race, we can see if that poor Jackie Donofrio has all his chances to catch Jann Avery...

We already know his speed... and since we have the distance, we write :

4 = 12.6 / t

Where t is the unknown time, for Jackie, to finish the same race. Let's solve the equation :

4t = 12.6 (we multiplied t on each side of the equation)

t = 12.6 / 4

t = 3.15

Jackie Donofrio, who runs at 4 miles per hour, will finish the race in 3.15 hours

Good Luck