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3 years ago

Peter walked 8,900 feet from home to school.

Mathematics

2 answers:

Mademuasel [1]3 years ago

6 0

Answer:

4. 1.7 miles

Step-by-step explanation:

1 mile = 5280 feet

Then

8900 feet = 1.7 miles

Andre45 [30]3 years ago

5 0

Answer:

in sure that it is 1.7 sorry if not

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The position function of a particle in rectilinear motion is given by s(t) = 2t3 – 21t2 + 60t + 3 for t ≥ 0 with t measured in s

Norma-Jean [14]

The positions when the particle reverses direction are:

$s(t_1)=55ft\\\\s(t_2)=28ft$

The acceleraton of the paticle when reverses direction is:

$a(t_1)=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=18\frac{ft}{s^{2}}$

Why?

To solve the problem, we need to remember that if we derivate the position function, we will get the velocity function, and if we derivate the velocity function, we will get the acceleration function. So, we will need to derivate two times.

Also, when the particle reverses its direction, the velocity is equal to 0.

We are given the following function:

$s(t)=2t^{3}-21t^{2}+60t+3$

So,

- Derivating to get the velocity function, we have:

$v(t)=\frac{ds}{dt}=(2t^{3}-21t^{2}+60t+3)\\\\v(t)=3*2t^{2}-2*21t+60*1+0\\\\v(t)=6t^{2}-42t+60$

Now, making the function equal to 0, to find the times when the particle reversed its direction, we have:

$v(t)=6t^{2}-42t+60\\\\0=6t^{2}-42t+60\\\\0=t^{2}-7t+10\\(t-5)*(t-2)=0\\\\t_{1}=5s\\t_{2}=2s$

We know that the particle reversed its direction two times.

- Derivating the velocity function to find the acceleration function, we have:

$a(t)=\frac{dv}{dt}=6t^{2}-42t+60\\\\a(t)=12t-42$

Now, substituting the times to calculate the accelerations, we have:

$a(t_1)=a(2s)=12*2-42=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=12*5-42=18\frac{ft}{s^{2}}$

Now, substitutitng the times to calculate the positions, we have:

$s(t_1)=2*(2)^{3}-21*(2)^{2}+60*2+3=16-84+120+3=55ft\\\\s(t_2)=2*(5)^{3}-21*(5)^{2}+60*5+3=250-525+300+3=28ft$

Have a nice day!

3 0

3 years ago

In a statistics class, 10 scores were randomly selected with the following results (mean = 71.5): 74, 73, 77, 77, 71, 68, 65, 77

algol13

Answer:

Range: 12

Step-by-step explanation:

65, 66, 67, 68, 71, 73, 74, 77, 77, 77

Formula:

Range: highest value - lowest value = final answer

Range: 77 - 65 = 12

3 0

3 years ago

Alabama has about 2.51 million acres of cropland Florida has about 1.15 times as much cropland as Alabama how much crop land doe

aev [14]

Answer: Florida has 2.8865 million acres of cropland .

Explanation:

Since we have given that

Length of acres of cropland Alabama has = 2.51 millions

According to question, we have Florida has about 1.15 times as much cropland as Alabama has ,

So,

Length of acres of cropland Florida has is given by

$2.51\times 1.15=2.8865\text{ million acres }$

So, Florida has 2.8865 million acres of cropland .

8 0

4 years ago

What is the solution to the system of equations graphed below

madreJ [45]

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8 0

3 years ago

To solve X/0.4 = 10, you would: Add 0.4 Subtract 0.4 Multiply 0.4 Divide by 0.4

Mrac [35]

Multiply by 0.4 on both sides to cancel the original 0.4 and change the 10

8 0

3 years ago