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3 years ago

13

A car is traveling at a rate of 81 kilometers per hour. What is the car's rate in kilometers per minute? How many kilometers wil

l the car travel in 10 minutes?

1 answer:

shusha [124]3 years ago

8 0

Only doing thos for the getting to knothinf

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The position of an object moving along an x axis is given by x = 3.24 t - 4.20 t2 + 1.07 t3, where x is in meters and t in secon

Pavel [41]

Answer and explanation:

Given : The position of an object moving along an x axis is given by $x=3.24t-4.20t^2+1.07t^3$ where x is in meters and t in seconds.

To find : The position of the object at the following values of t :

a) At t= 1 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(1)=3.24(1)-4.20(1)^2+1.07(1)^3$

$x(1)=3.24-4.20+1.07$

$x(1)=0.11$

b) At t= 2 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(2)=3.24(2)-4.20(2)^2+1.07(2)^3$

$x(2)=6.48-16.8+8.56$

$x(2)=-1.76$

c) At t= 3 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(3)=3.24(3)-4.20(3)^2+1.07(3)^3$

$x(3)=9.72-37.8+28.89$

$x(3)=0.81$

d) At t= 4 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(4)=3.24(4)-4.20(4)^2+1.07(4)^3$

$x(4)=12.96-67.2+68.48$

$x(4)=14.24$

(e) What is the object's displacement between t = 0 and t = 4 s?

At t=0, x(0)=0

At t=4, x(4)=14.24

The displacement is given by,

$\triangle x=x(4)-x(0)$

$\triangle x=14.24-0$

$\triangle x=14.24$

(f) What is its average velocity from t = 2 s to t = 4 s?

At t=2, x(2)=-1.76

At t=4, x(4)=14.24

The average velocity is given by,

$\triangle x=x(4)-x(2)$

$\triangle x=14.24-(-1.76)$

$\triangle x=14.24+1.76$

$\triangle x=16$

4 0

3 years ago

The equations given on the graph is y=2x-4. Which of the following equations would create a system with this equation whose solu

Ghella [55]

I guess answer is C y = -4x+3 when I do formula of Y= MX+b

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2 years ago

Write each decimal as a fraction or mixed number. The first one is done for you.

lbvjy [14]

Answer:

0.4 can be represented as 4 out of 10 -> $\frac{4}{10}$ or $\frac{2}{5}$

0.8 can be represented as 8 out of 10 -> $\frac{8}{10}$ or $\frac{4}{5}$

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3 years ago

What is the simplest form <br><br> 3/4 + 2/5

maw [93]

Answer:

1 3/20

Step-by-step explanation:

3/4 + 2/5

Get a common denominator of 20

3/4 *5/5 + 2/5 *4/4

15/20 + 8/20

23/20

20/20 + 3/20

1 3/20

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3 years ago

Read 2 more answers

6 4/5 + 3 3/5 find the sum as a mixed number so the fractional part is less than 1

gavmur [86]

9 7/5 then look up how to simplify it. Hope this helped xx

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3 years ago