11. Simplify each expression.

Answer with all calculations

Sloan [31]

Answer:

Part a) The acceleration in the first 20 seconds is $0.35\ m/sec^2$

Part b) The distance between the two stops is 945 meters

Part c) The average speed during the journey is 5.9 m/sec

Step-by-step explanation:

Part a)

Let

x ---> the time in seconds

y ---> the velocity in m/sec

a ---> acceleration in m/ sec^2

we know that

The acceleration is equal to divide the velocity by the time

so

The acceleration is the slope of the linear equation of the graph

For the first 20 seconds

take the points

(0,0) and (20,7)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{7-0}{20-0}$

$m=\frac{7}{20}=0.35\ m/sec^2$

therefore

The acceleration in the first 20 seconds is $0.35\ m/sec^2$

Part b) we know that

Looking at the graph

The two stops of the bus are the points (0,0) and (160,0)

The stops of the bus represent the x-intercepts of the linear equation

Values of x when the value of y is equal to zero

In the context of the problem

Values of the time when the velocity of the bus is equal to zero

To find out the distance, we need to determine the area of the graph

(because the distance is equal to multiply the velocity by the time)

The area of the graph in the interval [0,160] is equal to the area of two right triangles plus the area of rectangle

so

$A=\frac{1}{2}(20)( 7)+(130-20)(7)+ \frac{1}{2}(160-130)(7)$

$A=70+770+105=945\ m$

Part c) we know that

The average speed is equal to divide the total distance by the total time

so

$\frac{945}{160}=5.9\ m/sec$

7 0

3 years ago

Which number is the decimal form of 3/8

FinnZ [79.3K]

Answer: 0.375

Step-by-step explanation:

3 0

3 years ago

Fred made a block of soap which weighed ⅚ of a pound. He divided the soap into 5 equal pieces. How much did each piece of soap w

Ad libitum [116K]

To do this problem, we have to divide fractions. If you don't know what dividing fraction is I'mgoign to tell you how to do it

How to divide fractions

To Divide fractions, you have to pick the one that is going to be divided and the one that's going to be divided by. Like the dividend and the divisor. Let's say we have 1/2 divided by 1/2.

One important rule in dividing fractions is always flipping the second fraction. If we have 1/2 as the second fraction, we flip it to 2/1 or 2. This action is called the reciprocal.

Once we changed the second fraction to a reciprocal, we multiply the fractions like 1/2 times 2/1 and then we get the answer, 2/2 which equal to one.

If you want, do some practice problems before we do this problem so you can get comfortable with it

1) 2/3 divided by 6/5

2) 4/5 divided by 1/2

3)5/6 divided by 7/8

Now let's get to this problem.

Solving this question

The first step in solving this question is finding what we need divided by and what we are using to divide by.

What we are dividing is the 5

We can set the equation up like 5/6 divided by 5/1 we have to flip the second fraction: 5/1. We get 1/5. Now let's multiply

5/6*1/5=1/6

So, the answer is 1/6 pounds

I hope this helped

Ps. Brainiest would help a lot

7 0

2 years ago

1) 4w - 34 = 2

Elan Coil [88]

1. w= 8.5
2. p= 8
3. r= -63
4. h= 4
5. m=16

did the work on paper 3

4 0

3 years ago

Read 2 more answers

If u know this help me (6 grade work) 7,8,9,10,11,12,17,18

Anna71 [15]

#7 is 3

#8 is 4

#9 is 4

#10 is 3

#11 is 5

#12 is 3

3 0

3 years ago