Mary drove 355 miles using 17 gallons of gas. At this rate, how many gallons of gas would she need to drive 284 miles?

Answer:

The graph that matches the equation y = 2sin(x – π) + 2 is D

Step-by-step explanation:

To determine which graph matches the given equation y = 2sin(x – π) + 2. We will determine the values of y for range of values of x from -2π to 5π.

When x = -2π

From

y = 2sin(x – π) + 2

Then

y = 2sin(-2π – π) + 2

y = 2sin(-3π) + 2

(NOTE: π = 180°)

∴ y = 2sin(-540) + 2

y = 2(0) +2

y = 0 + 2

y =2

When x = -π

Then

y = 2sin(-π – π) + 2

y = 2sin(-2π) + 2

y = 2sin(-360) + 2

y = 2(0) +2

y = 0 + 2

y =2

When x = 0

Then

y = 2sin(0 – π) + 2

y = 2sin(-π) + 2

y = 2sin(-180) + 2

y = 2(0) +2

y = 0 + 2

y =2

When x = π

Then

y = 2sin( π– π) + 2

y = 2sin(0) + 2

y = 2(0) +2

y = 0 + 2

y =2

When x = 2π

y = 2sin(2π – π) + 2

y = 2sin(π) + 2

y = 2sin(180) + 2

y = 2(0) +2

y = 0 + 2

y =2

When x = 3π

y = 2sin(3π – π) + 2

y = 2sin(2π) + 2

y = 2sin(360) + 2

y = 2(0) +2

y = 0 + 2

y =2

When x = 4π

y = 2sin(4π – π) + 2

y = 2sin(3π) + 2

y = 2sin(540) + 2

y = 2(0) +2

y = 0 + 2

y =2  

When x = 5π

y = 2sin(5π – π) + 2

y = 2sin(4π) + 2

y = 2sin(720) + 2

y = 2(0) +2

y = 0 + 2

y =2

The only graph that corresponds to the tested values of x is the last graph (D)

Hence, the graph that matches the equation y = 2sin(x – π) + 2 is D.

The graph of the given equation is given by option D) and this can be determined by using the rules of transformation.

Given :

Equation  --  [tex]y = 2\sin(x-\pi)+2[/tex]

The following steps can be used in order to determine the graph that represents the given equation:

Step 1 - Write the given equation.

[tex]y = 2\sin(x-\pi)+2[/tex]

Step 2 - Now, draw the graph of (sin x) and then translate it by a factor of [tex]\pi[/tex] in the right direction. So, the graph obtained is the graph of [tex]\sin(x-\pi)[/tex].

Step 3 - Now, stretch the graph of [tex]\sin(x-\pi)[/tex] by a factor of 2. So, the graph obtained is the graph of [tex]2\sin(x-\pi)[/tex].

Step 4 - Now, translate the graph of [tex]2\sin(x-\pi)[/tex] by a factor of 2 in the upward direction. So, the graph obtained is the graph of [tex]2\sin(x-\pi)+2[/tex].

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/14375099

Answer:

3x times 3x

Step-by-step explanation:

The lines in the graph are pretty close to each other, the answer would be the second choice.

There is no association because distribution of lunch preference is approximately the same.

The blue bar for students who didn’t eat a mint is greater than the red bar.

The answer is the second choice. Students who did not have a mint were more accurate guessers.

Answer:

25-5(29)=-120

Step-by-step explanation:

Answer:6

Step-by-step explanation:

We are dealing with 3,000 ice creams in supply, and so we have q=3. Hence S(q), the price of each item when q are in supply is given by

S(3)=2⋅3=6.

Answer:

[tex]r=1.46 \textsf{ cm (nearest hundredth)}[/tex]

Step-by-step explanation:

Volume of a sphere = [tex]\dfrac43\pi r^3[/tex]

Given volume = 13.04 cm³

[tex]\implies 13.04=\dfrac43\pi r^3[/tex]

Multiply both sides by 3/4:

[tex]\implies 9.78=\pi r^3[/tex]

Divide both sides by [tex]\pi[/tex]:

[tex]\implies \dfrac{9.78}{\pi}=r^3[/tex]

Cube root both sides:

[tex]\implies r=\sqrt[3]{\dfrac{9.78}{\pi}}[/tex]

[tex]\implies r=1.460146149...[/tex]

[tex]\implies r=1.46 \textsf{ cm (nearest hundredth)}[/tex]

Answer:

The diameter is 8 because the diameter is 2x the radius.

So 2•4=8

Answer:

Center is [tex](7,-4)[/tex]

Step-by-step explanation:

Recall that the equation for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] with center [tex](h,k)[/tex] and radius [tex]r[/tex]. Hence, the center is [tex](h,k)\rightarrow(7,-4)[/tex].

just a quick addition to the great reply above by "goddessboi"

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x-7)^2+(y+4)=9\implies [x-\stackrel{h}{7}]^2+[y-(\stackrel{k}{-4})]^2=3^2~\hfill \stackrel{vertex}{(7~~,~~-4)}[/tex]

Answer:

there would be a difference in mean

Answer:

Domain:

(-∞,∞)

Range:

[1,∞)

Step-by-step explanation:

Domain is all the x values

range is all the y values

graphing it would make it look easy to figurw out

Answer:

x=10 and y=12

Step-by-step explanation:

if 1/5 of x=2 then 5/5 x (which can be simplified to just x) is 5 times 2, which equals 10. And the same process goes for solving y.

Hope that helps!

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

Work Shown:

a = 4 is the first term

d = 3.5 is the common difference (we add this to each term to get the next term)

f(n) = nth term of arithmetic sequence

f(n) = a + d*(n-1)

f(n) = 4 + 3.5(n-1)

f(n) = 4 + 3.5n - 3.5

f(n) = 3.5n + 0.5

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

As a check, we could plug in n = 1 to get

f(n) = 3.5n+0.5

f(1) = 3.5(1)+0.5

f(1) = 4

Showing that 4 is the first term. Now let's try n = 2

f(n) = 3.5n+0.5

f(2) = 3.5(2)+0.5

f(2) = 7.5

Which matches with the sequence also.

I'll let you confirm the other terms.

Answer:

he buys 40 juice boxes

Step-by-step explanation:

Answer: good boy good boy

Answer:

Answer: 20 feet further

Step-by-step explanation:

Answer:

horse A will have travel 20 feet farther than horse B

Answer:

0.33333333333

1.75 / 5.25 equals: 0.33333333333

Step-by-step explanation:

The solution after divide is,

⇒  1.75 divided by 5.25 = 0.33

We have to given that;

The expression to solve.,

⇒ 1.75 divided by 5.25

Now, We can divide as;

⇒ 1.75 divided by 5.25

⇒ 1.75 / 5.25

⇒ 175/525

⇒ 0.33

Thus, The solution after divide is,

⇒  1.75 divided by 5.25 = 0.33

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

Answer:

V16 – V4 is equal to V16 - 4 only when V=1

Step-by-step explanation:

16-4=16-4

12=12

any number other than 1 doesn't work

Answer:

42,938 is the answer because 10 times 200 is 2000

Answer:

56,252 rounded to the nearest ten thousands place is 50,000

Answer:

The answer would be 56,000.

Step-by-step explanation:

You need to look at the number next to the ten thousands place.

56,252

See if the number is 5 or greater so that you can round up.

If lower than 5, you round down.

The 2 is less than 5 so you round down to 56,000.

Answer:

no se

perdon

Step-by-step explanation:

Answer: A

Step-by-step explanation:
Your answer is A.

Value of 3.78 x 10=37.8

Value of 5.99 x 102=699.98

value of 7.35 x 10-12=61.5

Value of 9.46 x 10-10=84.6.

Least value to greatest value

3.78 x 10=37.8 Least value

7.35 x 10 - 12=61.5 Sencond least value

9.46 x 10 - 10=84.6  Sencond greatest value

5.99 x 102=699.98  Greatest value

Hope it helps have a great day:)

Hi there!

We can begin by splitting the data into two equal parts, ignoring the median.

The median is simply the number in the middle of the data, or 5.

Now, we can split the data, taking the three left numbers and the three right numbers.

We have:
Left: 1, 3, 4

Right: 5, 7, 9

Find the medians of these sections. These are the middle numbers again, so:
Left: 3

Right: 7

These are our 1st and 3rd quartiles, respectively. The IQR is the difference between these, so:
7 - 3 = 4 = IQR.

Answer:

[tex] \sqrt{105} [/tex]

Step-by-step explanation:

Using the geometric nean theorem, if we let the hypotenuse be x, then:

[tex] \frac{7}{x} = \frac{x}{15} [/tex]

[tex] {x}^{2} = 105[/tex]

[tex]x = \sqrt{105} [/tex]

The radius(r) is half of the diameter(d) in length --> r= d/2 ; (D)

Thus if the diameter is 3 m --> that means the radius is 1.5m (B)

Hope that helps!

ok solo multiplicar por eso

Answer:0.76

Step-by-step explanation:

Answer:

17/3x9/2=153/6=51/2=25 1/2

Step-by-step explanation:

Answer:

25.5.

Step-by-step explanation:

5 2/3 x 4 1/2 = (5+2/3)x(4+1/2)=((15+2)/3)x((8+1)/2)=(17/3)x(9/2)=153/6=25.5.

that is your anwser please rate it bad if it's wrong n/3 + 2/3