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Semmy [17]
3 years ago
13

Solve the problem. If s is a distance given by s(t) = + + 40 + 10. find the acceleration, alt). Q ald) = 10 ald) = 2t + 4 O alt)

= 2 O ald) = 2t​

Mathematics
1 answer:
QveST [7]3 years ago
6 0

Answer:

C

Step-by-step explanation:

Remember that if s(t) is a position function then:

v(t)=s'(t) is the velocity function and

a(t)=s''(t) is the acceleration function.

So, to find the acceleration, we need to solve for the second derivative of our original function. Our original function is:

s(t)=t^2+4t+10

So, let's take the first derivative first with respect to t:

\frac{d}{dt}[s(t)]=\frac{d}{dt}[t^2+4t+10]

Expand on the right:

s'(t)=\frac{d}{dt}[t^2]+\frac{d}{dt}[4t]+\frac{d}{dt}[10]

Use the power rule. Remember that the derivative of a constant is 0. So, our derivative is:

v(t)=s'(t)=2t+4

This is also our velocity function.

To find acceleration, we want to second derivative. So, let's take the derivative of both sides again:

\frac{d}{dt}[s'(t)]=\frac{d}{dt}[2t+4]

Again, expand the right:

s''(t)=\frac{d}{dt}[2t]+\frac{d}{dt}[4]

Power rule. This yields:

a(t)=s''(t)=2

So, our answer is C.

And we're done!

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andres has 10 more goldfish than todd. Together,they have 50 goldfish.How many goldfish does each boy have?
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Let's go ahead and construct an equation to show this. Together, they have 50 goldfish. This can be represented as =50. 

Since we don't know how many Todd has, we're going to make a variable. We'll name it T, for Todd.

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Now, just put the two pieces together! T+10=50. 

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Yuet solved the equation 6 a minus 2 b = 12 for a. Her steps are shown below. 1. Subtract 2b: 6 a = 12 minus 12 b 2. Divide by 6
Ber [7]

Question:

Yuet solved the equation 6a - 2b = 12 for a.

Her steps are shown below.

1. Subtract 2b: 6a = 12 - 2b

2. Divide by 6: a = 2 - \frac{b}{3}

Answer:

In step 1 she needed to add 2b to both sides of the equation.

Step-by-step explanation:

Given:

The above steps shows how Yuet solved an equation

Required:

True statement about Yuet's work

The implication of the statement is to state what Yuet should have done instead of what she did.

In step 1, she subtracted 2b from both sides of the equation; this is wrong.

Instead of subtracting, she ought to add 2b to both sides of the equation.

The correct steps and result is as follows:

1. Add 2b: 6a = 12 + 2b

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Hence, we can conclude that in step 1 she needed to add 2b to both sides of the equation.

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