(a^3 / 4)^2
Simplify

Answers

Answer 1

Answer: Well, you can change this to (a^3/4)(a^3/4), which is equal to a^6/16, because a^3 times a^3=a^6, and 4 times 4=16.
I hope this helps!
-Raiden

Answer 2

Answer: Multiply the exponents in (a^3/4)^2 =a^3/2 simplified

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Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t. a=16, v(0) = -14, s(0) = -8

Answers

Answer:

The position at time t is $s(t) = 8t^2 - 14t -8$

Step-by-step explanation:

From the question we are told that

The acceleration is $a = 16$

The velocity at t = 0 is $v(0) = -14$

The position at time t = 0 is $s(0) = -8$

Generally acceleration is mathematically represented as

$a(t) = (d v)/(dt )$

=> $(dv)/(dt) = 16$

=> $dv = 16 dt$

integrating both sides we have

$\int\limits dv = \int\limits16 dt$

=> $v(t) = 16 t + c$

Now at t = 0

$v(0) = 16 * 0 +c = -14$

=> $c = -14$

$v(t) = 16 t -14$

Generally the position of the body is mathematically represented as

$s(t) = \int\limits v(t)dt$

$s(t) = \int\limits 16t - 14 dt$

$s(t) = 16 (t^2)/(2) - 14t + C$

Now at t = 0

$s(0) = 16 (0^2)/(2) - 14(0) + C = -8$

=> $C = -8$

$s(t) = 8t^2 - 14t -8$

Final answer:

The position of the body at time t, given an acceleration of 16 m/s², an initial velocity of -14 m/s and an initial position of -8 m, is given by the equation s(t) = -8 - 14t + 8t².

Explanation:

In your problem, you're asked to find the body's position at time t given its acceleration, initial velocity, and initial position. We can do this by utilizing basic kinematics, specifically the equation for position under constant acceleration. This equation is: s(t) = s(0) + v(0)t + 0.5at².

Substituting the given values into the formula, we get s(t) = -8 + -14t + 0.5*16t².

This is the equation for the body's position at time t. It can be simplified further by multiplying the terms inside, leading to s(t) = -8 - 14t + 8t².

Therefore, given an acceleration of 16 m/s², an initial velocity of -14 m/s and an initial position of -8 m, the position of the body at time t can be described by the equation s(t) = -8 - 14t + 8t².

Learn more about Kinematics here:

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Which Polygons are similar to A? PLEASE ANSWER QUICKLY

Answers

Answer:

B and C are similar to A but E is same as A.

Which number is located between 1.2 and 1.4 on the number line

Answers

Answer:

1.3

Step-by-step explanation:

a number between 2 and 4 is 3

Answer:1.3

Step-by-step explanation:

Determine the next step for solving the quadratic equation by completing the square. 0 = –2x2 + 2x + 3

Answers

Answer:

-1/2, 1/4, 1/2 on edge

The next step is to divide the equation by -2

-2(x^2 - x) + 3 = 0

Nancy hears a report that the current national average price of gasoline is $3.14. She averages the prices of stations near her home.she finds the average price of gas to be $2.95. Why are the averages different?

Answers

Answer:

Nancy's ambient locality might be having more suppliers, higher supply of Gasoline

Step-by-step explanation:

National average price of gasoline = $3.14

Stations near Nancy's home have an average price = $2.95

Gasoline price near Nancy's house is lesser than national average price level. Number of gasoline stations near her house might be more. It implies increase in its supply. This leads to competition among sellers & reduces the price level.

in 2005 a company spent 493,749,335 on advertising. round the advertising figure to the nearest hundred thousand.