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Mathematics

1 answer:

iogann1982 [59]2 years ago

8 0

Answer:

Step-by-step explanation:

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The acceleration function a(t) (in m/s2) and the initial velocity v(0) are given for a particle moving along a line.

klemol [59]

Answer:

A: $v(t)=-t^2+4t-5$

Step-by-step explanation:

Acceleration is second derivative of position, velocity is first derivative. Therefore, the velocity is the integral of acceleration.

$v(t)=\int\ {2t+4} \, dt$

Integrate:

$-t^2+4t+C$

V(0)=-5:

$-0^2+4(0)+C=-5\\C=-5$

Therefore, v(t):

$v(t)=-t^2+4t-5$

7 0

2 years ago

Peter saves $167 a month. Peter saves $37 less each month than Bill. How much will Bill save in 2 years?

Vlad [161]

Answer:

Hello! Your answer should be $2448.

Step-by-step explanation:

First, we should add 37 to 167 to find out how much money Bill makes in one month. Once we find that to be 204, we must multiply that by however many months he will be saving up for (24 months = 2 years). This will give us the expression 204 x 28, which equals 2448.

So, Bill will save $2448 in 2 years. Hope this helps!

3 0

2 years ago

Find the value of x.<br> A. 22.5<br> B.40<br> C.45<br> D.95

Troyanec [42]

Answer:

x = 22.5

Step-by-step explanation:

The tangent- secant angle x is half the difference of the measures of the intercepted arcs, that is

$\frac{1}{2}$ (4x + 5 - 50 ) = x ( multiply both sides by 2 )