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cestrela7 [59]
3 years ago
7

Josh will run at least 35 miles this week. So far, he has run 19 miles. What are the possible numbers of additional miles he wil

l run? Use t for the number of additional miles he will run. Write your answer as an inequality solved for t .
Mathematics
1 answer:
Anit [1.1K]3 years ago
3 0

The possible numbers of additional miles he will run will be: t\geq 16

<u><em>Explanation</em></u>

So far, Josh has run 19 miles and the number of additional miles he will run in this week is  t miles.

Given that, he will run at least total 35 miles this week. That means the minimum total distance, he will run in this week is 35 miles.

So, the inequality will be.....

t+19\geq 35\\ \\ t\geq 35-19\\ \\ t\geq 16

Thus, he need to run at least 16 additional miles in this week.

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3 years ago
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Calculate the Laplace transforms of the following from the definition. 1. y = t^2. y = t^3
Likurg_2 [28]

Answer:

1) L(y)=\frac{2}{s^{3}}

2) L(y)=\frac{6}{s^{4}}

Step-by-step explanation:

To find : Calculate the Laplace transforms of the following from the definition ?

Solution :

We know that,

Laplace transforms of t^n is given by,

L(t^n)=\frac{n!}{s^{n+1}}

1) y=t^2

Laplace of y,

L(y)=L(t^2) here n=2

L(y)=\frac{2!}{s^{2+1}}

L(y)=\frac{2}{s^{3}}

2) y=t^3

Laplace of y,

L(y)=L(t^3) here n=3

L(y)=\frac{3!}{s^{3+1}}

L(y)=\frac{3\times 2}{s^{4}}

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5 0
3 years ago
Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. M
valkas [14]

Answer:

i. No, Maurice statement is wrong.

ii. Stephan does not have sufficient pieces of wood to make the tray because the square inches required is more than what he has.

Step-by-step explanation:

Stephan's piece of wood measures; 18 inches in length and 12 inches in width.

Since the piece of wood has a shape of a rectangle,

the area of the piece of wood = length × width

                                                 = 18 × 12

                                                = 216 square inches

According to Maurice's statement, he could make a tray that has a base of 1012 inches by 1012 inches.

The base has the shape of a square, so that;

     the area of the base = length × width = length^{2}

                                       = 1012 ×1012

                                      = 1024144 squared inches

This shows that Stephan does not have sufficient wood to make the tray because the square inches required is more than what he has.

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Step-by-step explanation:

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