The graph shows the amount of gas that Dario's car uses to travel different distances.
please help Complete the statement about the graph
​

Answer: y=−9x  

x=  y/9

​  

Step-by-step explanation:

Answer:

The equation of the position at time t will be:

[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+15[/tex]

Step-by-step explanation:

We can start by saying that the acceleration here is g = -9.81 m/s². The minus sign is because the gravity acceleration is a vector downward (negative value), and the ball is going upward (positive value).

And we know that acceleration can be written as a second derivative:

[tex]g=\frac{d^{2}y}{dt^{2}}=y''[/tex] (1)

Now, we can take the integral in each side:

[tex]\int gdt=\int y''dt[/tex]

[tex]\int y''dt=\int -9.81dt[/tex] (2)

Solving the integral in each side we have:

[tex]y'(t)=-9.81t+C[/tex] (3)

Where y'(t) is the velocity at t time (v = dy/dt = y' ) and c is a constant value.

Now, the initial conditions are:

initial height y(0) = 15 feet

initial velocity y'(0) = v(0) = 64 feet/s

Using this condition we can find C. Let's evaluate equation (3) at t = 0.

[tex]y'(0)=-9.81(0)+C[/tex]

[tex]C=64\: feet/s[/tex]

So we have:

[tex]y'(t)=-9.81t+64[/tex] (4)

Now, we need to take the integral of equation (4) to get the position function:

[tex]\int y'(t)dt=\int (-9.81t+64)dt[/tex]

Solving this new integral we have:

[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+D[/tex] (5)

Using the same method above, we can find D evaluating (5) at t = 0, we have:

[tex]y(0)=-\frac{1}{2}9.81(0)^{2}+64(0)+D[/tex]

[tex]D=y(0)[/tex]

[tex]D=15\: feet[/tex]

Finally, the equation of the position at time t will be:

[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+15[/tex]

I hope it helps you!

Answer:

Step-by-step explanation: Vertex Equatiation Por mxa Plus B = X gtex Lp Cneter to 16u8 Killomtrss to ball

Answer:

c

Step-by-step explanation:

Answer:

that it is a cat :')

Step-by-step explanation:

remember, whisker = cat

Answer:

[tex] {6}^{10} [/tex]

Step-by-step explanation:

[tex] \frac{6^7•6^{10}}{6^4•6^3} \\ \\ = \frac{6^7•6^{10}}{ {6}^{4 + 3} } \\ \\ = \frac{ \cancel{6^7}•6^{10}}{ \cancel{6^7}} \\ \\ = {6}^{10} [/tex]

Answer: It's kinda simple, 2/5 and 4/5

Just add 1 to the numerator of the original fraction, and there's where you get 4/5. Then subtract 1 from the original fraction, and that's where you get 2/5!

Answer:

3,761.46 m³

Step-by-step explanation:

Volume of a cone = 1/3πr²h

π = 3.14

radius, r = diameter/2

= 25/2 = 12.5 m

Height, h = 23m

Volume of a cone = 1/3πr²h

= 1/3 * 3.14 * 12.5² * 23

= 1/3 * 3.14 * 156.25 * 23

= 11,284.375 / 3

= 3761.4583333333

Approximately,

Volume of the cone = 3,761.46 m³

Answer:

parallel lines

Step-by-step explanation:

im pretty sure this is it hope this helps

Answer:

YAY

Step-by-step explanation:

Answer:

648 cm³

Step-by-step explanation:

For Cuboid

l = 12cm

b = 9cm

h = 6cm

Now, The volume of a cube is

l × b × h

12 × 9 × 6 cm

108 × 6 cm

648 cm³

Thus, The volume of a cuboid 12cm long 9 sm broad and 6 cm high is 648 cm³

-TheUnknownScientist

Answer:

x = 55

Step-by-step explanation:

<QRP = <NRM because of vertical angles

To find <NRM:

x + 35 + 90 = 180

x + 125 = 180

x = 55

<NRM = 55

<QRP or x = 55

Answer:

4 months

Step-by-step explanation:

we take $300 ÷$75 which is per month

then we get 4 , which is our months

Answer:

A

Step-by-step explanation:

In the beginning, there was little or no private ownership. Cucumbers are a pretty interesting example. We had an exchange student who said all the cucumbers were raised on one collective the size of 10 sections. He didn't know how many people were on that farm but it employed many people. The farm was located near a very large city so transportation was not a problem. The state owned the farm.

The second one is a result of the first one. Collectives are not meant to benefit the individual. They benefit everyone.

Three is a characteristic of free enterprise.

A: I and II

Answer:

a.

I and II

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

x/1= 9/3

solve to get 3

Answer:

X = 3

Step-by-step explanation:

1. Find the difference between 1 and 3. The larger triangle is being multiplied by 3

2. To find x you must divide 9 by 3 since the bigger triangle is 3 times bigger then the smaller one. X then equals 3

Hope that helps

Let me know if it is confusing

Answer: X = 24/G

G = 24/x

Step-by-step explanation:

Answer:

C) 1

Step-by-step explanation:

Slope = change in y over change in x

In the graph shown as y goes up 1 x goes up 1

so slope = 1/1 or 1

The slope equation is y=mx+b.

b is where the line crosses on the y axis, also known as the y-intercept.

m is the slope, which you are trying to find.

y and x are the points on the graph.

The slope is 3/3, which can be turned into 1, so the answer is c.

When a pine tree that is 8 feet tall is added to the sample, A. The new box plot will be negatively skewed.

Negative skewness occurs when the tail of the left side of the box plot is longer than the tail on the right side.

Negative skewness highlights the risk of left tail events or negative outliers known as “black swan events.”

Thus, when a pine tree that is 8 feet tall is added to the sample, A. The new box plot will be negatively skewed.

Learn more about negative skewness at https://brainly.com/question/20378699

#SPJ1

Answer:

A

hope this helps

Answer:

96 feet

Step-by-step explanation:

Answer:

32 yards is equal to 96 feet. Hope this helped!! :D

Answer:

D Community property of addition

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

c = 6

Step-by-step explanation:

have a nice day :)

Answer:

c=6

Step-by-step explanation:

4+c=10

4-4 +c =10-4

c=6

Answer:

6

Step-by-step explanation:

It's 6. The Pythagorean Theorem details how to find the length of a right triangle's hypotenuse.

The equation is a² + b² = c²

C is the length of the hypotenuse. The side lengths you have are a leg as 8 and hypotenuse as 10. By substituting these values into the equation, we get 8² + b² = 10²

Therefore, 64 + b² =100

So b² = 36

By square rooting both sides we finally reach the answer b=6.

Hope I helped!! (p.s. maybe brainliest)

Answer:

no

Step-by-step explanation:

40² + 25² = 85²

1600 + 625 = 7225

2225 = 7225

Answer:

3(x + 5)(x − 5)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula:

a² − b² = (a + b)

(a − b)  

where  a = x and  b = 5.

3(x + 5)(x − 5)

Or

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