Which equation represents a car that gets more miles per gallon of gas than Mitch's car?



Helppppp!!! Plsss

Answer:

y = -190 cos(π t / 120) + 195

Step-by-step explanation:

General form of a sinusoidal function: y = A cos(Bt - C) + D

Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.

A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.

2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.

C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.

D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.

Your final function will be:

y = -190 cos(π t / 120) + 195

Answer:

B) Maximums: (0, 1), (2π, 1);

Minimum: (π, -3)

Answer:

you would need 6 scoops of sugar

Answer:

You would need 15 scoops of sugar per 3.5 oz

Step-by-step explanation:

Answer:

A ∩ B = {4, 6}

Step-by-step explanation:

A die had 6 faces

S = {1, 2, 3, 4, 5, 6}

If A  be the event of rolling an even number, then;

A = {2, 4, 6}

If B be the event of rolling a number greater than 3, then;

B = {4, 5, 6}

A ∩ B are the values that are common to both sets

A ∩ B = {4, 6}

Answer:

11

Step-by-step explanation:

first you add 6 + 7 = 13

then you 13 - 2 which gives you eleven!

Answer:

y=-2.6+2

Step-by-step explanation:

using the eqaution y=mx+c

Answer:

The answer is 612

Answer:

x = 25

Step-by-step explanation:

40 is a vertical angle equal to the angle to the right of 2x.

2x, 40, and 90 are supplementary angles (they add up to 180)

2x + 40 + 90 = 180

2x + 130 = 180

2x = 180 - 130

2x = 50

x = 25

Answer:

they are right

Step-by-step explanation:

Answer: $2400

Step-by-step explanation:

Given

Maria got a hike of 3%.

After the hike she earns $2472 each month

Suppose, before hike she earns x each month

[tex]\Rightarrow x+x\times 3\%=2472\\\Rightarrow x(1+0.03)=2472\\\Rightarrow 1.03x=2472\\\Rightarrow x=\$2400[/tex]

Thus, she earns $2400 before the hike.

Answer:

62 degrees

Step-by-step explanation:

The angle is an inscribed angle, so its measure is half the measure of the intercepted arc.

Said another way, the intercepted arc is twice the measure of the inscribed angle.

2 x 31 = 62

Step-by-step explanation:

1. -5 not suree

2.50

my anwser could be wrong sooo...

Answer:

r/2 -6

Step-by-step explanation:

less than means it comes after

half of r

r/2

6 less than means subtract

r/2 -6

Answer:

[tex]Time \ in\ school = \frac{3}{8} \ of \ the \ day[/tex]

                      = [tex]\frac{3}{8} \times 24 = 9 \ hours \ in \ school[/tex]

[tex]Time \ in \ class = \frac{2}{3} \ of \ the \ time \ in \ school = \frac{2}{3} \times 9 = 6 \ hours \ in \ class[/tex]

1 hour = 60 minutes

Therefore, 6 hours = 360 minutes

So , 360 minutes they spent doing mathematics.

Answer:

6x – 3x + 4 – 2x = x

x+4=x

4=0

no solution

hope this helps

have a good day :)

Step-by-step explanation:

Answer: I think it’s C

Answer:

A is the correct answer to this problem.

Answer:

Our two selected points:

-3, 3

2, -4

-4 -(3)           7

_____ = - _____ = -7/5, D is your answer

2 - (-3)         5

Answer:

The answer would be D, hope this helps

Answer:

we would need to know what the experiment was or we can't awnser

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Scale\ length = 8ft[/tex]

Required

Determine the scale of the drawing

The question is incomplete, as the actual width of the kitchen is not given. The general explanation, however, is as follows:

The scale of a drawing is represented as:

[tex]Scale = Scale\ Measurement : Actual\ Measurement[/tex]

This gives:

[tex]Scale = 8ft : Actual[/tex]

Assume the actual length of the kitchen is 24ft.

The equation becomes:

[tex]Scale = 8ft : 24ft[/tex]

Divide by 8ft

[tex]Scale = 8ft/8ft : 24ft/8ft[/tex]

[tex]Scale = 1 : 3[/tex]

Answer:

x=4 Postive

Step-by-step explanation:

See the steps below:)

Answer:

∠ A ≈ 75.7°

Step-by-step explanation:

Given

[tex]\frac{sinA}{8}[/tex] = [tex]\frac{sin58}{7}[/tex] ( cross- multiply )

7 × sinA = 8 × sin58° ( divide both sides by 7 )

sinA = [tex]\frac{8sin58}{7}[/tex] , then

∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{8sin58}{7}[/tex] ) ≈ 75.7° ( to the nearest tenth )

Answer:

Logan can mow 1 lawn per hour more than Brian

Step-by-step explanation:

Given

[tex]Logan: 8\ lawns \to 4\ hours[/tex]

See attachment for Brian's graph

First, calculate Logan's hourly rate

[tex]Rate = \frac{Lawn}{Time}[/tex]

[tex]Rate = \frac{8\ lawns}{4\ hours}[/tex]

Rate = 2 lawns per hour

To calculate Brian's rate, we select 2 points from the linear graph

[tex](x_1,y_1) = (1,1)[/tex]

[tex](x_2,y_2) = (2,2)[/tex]

So, the rate is:

[tex]Rate = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]Rate = \frac{2 - 1}{2 - 1}[/tex]

[tex]Rate = \frac{1}{1}[/tex]

Rate = 1 lawn per hour

So, we have:

[tex]Logan = 2[/tex]

[tex]Brian = 1[/tex]

Calculate the difference (d)

[tex]d = Logan - Brian[/tex]

[tex]d = 2 - 1[/tex]

[tex]d = 1[/tex]

Logan can mow 1 lawn per hour more than Brian

Statistics

Vocabulary

-------------------------

Mean is the average of a data set.

Find the Mean by adding all numbers and dividing by how many numbers there are in the data set.

19+4+12+4+x/5

Combine Like Terms.

39+x/5=11

Use random x values to determine x.

39+16=55

55/5=11

x=16

Insert x into the equation to make sure you're correct.

19+16+4+4+12=55

55/5=11

Answer:

1/3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

a=170

Step-by-step explanation:

180-6=174mil

round to 170.

Answer:

4.9 (rounded)

Step-by-step explanation:

a^2 + 1^2 = 5^2

a^2 + 1 = 25

      - 1     - 1

= a^2 = 24

[tex]\sqrt{a^2 = 24}[/tex] = 4.9 (rounded)

Answer:

63

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

A = ab/2

A = (6 cm)(10 cm)/2

A = 30 cm^2

Answer: B.