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3 years ago

11

The answer is below PLEASE HELP IM BEING TIMED I WILL MARK BRAINLIEST IF RIGHT

1 answer:

Fudgin [204]3 years ago

3 0

15x+30y-220
Here is the work:

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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

nika2105 [10]

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

$a(t) = \frac{d v}{dt }$

=> $\frac{dv}{dt} = 16$

=> $dv = 16 dt$

integrating both sides we have

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

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

Now at t = 0

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

=> $c = -14$

So

$v(t) = 16 t -14$

Generally the position of the body is mathematically represented as

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

So

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

So

$s(t) = 16 \frac{t^2}{2} - 14t + C$

Now at t = 0

$s(0) = 16 \frac{0^2}{2} - 14(0) + C = -8$

=> $C = -8$

So

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

5 0

3 years ago

In right triangle ABC, C is the right angle. Which of the following is cos B if sin A = 0.4

inessss [21]

Answer:

Given that,

In right triangle ABC, C is the right angle.

sin A=0.4

To find cos B,

we get the triangle as,

we know that,

Hypotenuse of the triangle is AB

For the angle A, opposite side is CB

For the angle B, adjacent side is CB

From the definition of sine and cosine we get,

$\sin A=\frac{CB}{AB}$

Also,

$\cos B=\frac{CB}{AB}$

Comparing both we get,

$\sin A=\cos B$

It is given that sinA=0.4

Hence we get, cosB=0.4

Answer is: 0.4

7 0

1 year ago

on the school trip, Margie spent $12.40 on 2 souvenirs, including tax. Each souvenir cost the same amount. The amount of tax was

Klio2033 [76]

$5.84 is the correct answer

6 0

3 years ago

28. 18. 8. -2...<br><br>Find the 52nd term

Juli2301 [7.4K]

Answer:

-290

Step-by-step explanation:

Just times -10 by 52

8 0

3 years ago

Can someone find out the answer to this question please, in the image below

Alik [6]

I can see why your confused, but the range of the function is <u>y≤−1 or y≥1</u> . The graph of the cotangent function looks like this: The domain of the function <u>y=cot(x)=cos(x)sin(x)</u> is all real numbers except the values where <u>sin(x)</u> is equal to 0 , that is, the values <u>πn for all integers n</u> .

<em>Hope this helps</em>

Have a great day!

<h3>-~- <u>WolfieWolfFromSketch</u> -~-</h3>

6 0

3 years ago