What is the average rate of change for this exponential function for the

Calculate the first and second velocities of the car with three washers attached to the pulley, using the formulas v1 = 0. 25 m

Travka [436]

The first and second velocities of the car are 0.25/t1 and 0.50/t2 respectively.

Given data:

The value of the first distance is, d1 = 0.25 m.

The value of the second distance is, d2 = 0.50 m.

<h3>What is velocity?</h3>

The ratio of distance covered by an object in a specific direction and the time taken to cover the distance is known as the velocity of the object. Mathematically, the expression for the velocity is,

v = d/t

Here, d is the distance covered.

And t is the average time taken to cover the distance.

Then the first velocity of the car at 0.25 m is,

v1 = d1/t1

v1 = 0.25 / t1

Here, t1 is the average time for the first distance.

And the second velocity of the car with four washers at the 0. 50 m mark is,

v2 = d2/t2

v2 = 0.50 /t2

here, t2 is the average time for the second distance.

Thus, we can conclude that the first and second velocities of the car are 0.25/t1 and 0.50/t2 respectively.

To know more about Velocity click the link given below.

brainly.com/question/25796948?

3 0

3 years ago

the points (-2,1), (1,1), (0,-2), and (-3,-2) are vertices of a polygon. what type of polygon is formed by these points? A. rect

Fiesta28 [93]

Answer:

$\boxed{\sf D. \ Parallelogram}$

Step-by-step explanation:

When we graph the points, the polygon is a quadrilateral with opposite parallel sides. The type of polygon formed by these points is a parallelogram.

7 0

3 years ago

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Give a power series representation for the function f(x) x^3/(1 + 9x^2)

Nata [24]

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{n\ge0}x^n$

Replace $x$ with $-9x^2$ and we get

$\displaystyle\frac1{1-(-9x^2)}=\sum_{n\ge0}(-9x^2)^n=\sum_{n\ge0}(-9)^nx^{2n}$

Lastly, multiply this by $x^3$ , so that

$\boxed{f(x)=\displaystyle\sum_{n\ge0}(-9)^nx^{2n+3}}$

6 0

4 years ago

Find the equation of a line that passes through the points (1,-5) and (3,-6).

sdas [7]

Answer:

y = - $\frac{1}{2}$ x - $\frac{9}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1, - 5) and (x₂, y₂ ) = (3, - 6)

m = $\frac{-6+5}{3=2}$ = - $\frac{1}{2}$ , then

y = - $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, - 5 ) , then

- 5 = - $\frac{1}{2}$ + c ⇒ c = - 5 + $\frac{1}{2}$ = - $\frac{9}{2}$

y = - $\frac{1}{2}$ x - $\frac{9}{2}$ ← equation of line

7 0

3 years ago

What is the value represented by the digit 8 after 5,872 is multiplied by 1,000?

Neko [114]

Right now 8 represents 8 hundred.
after multiplied by 1,000, the 8 will represent 8 hundred thousand. <span />

4 0

4 years ago

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