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adelina 88 [10]
3 years ago
14

Ben dives from a 10-foot platform. The equation h = -16 t 2 + 27t + 10

Mathematics
1 answer:
Tpy6a [65]3 years ago
7 0
Today Ben x+20=13+20=33
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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}}

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

5 0
3 years ago
Standard form of 5y=35+10x what is the answer
ss7ja [257]

Answer: y=7+2x

Step-by-step explanation: Divide 5 by all. 5y/5=35/5 +10x/5.

4 0
3 years ago
Alex is making puppets for a show. He bought all the string needed for $125. It costs $18 for the remaining materials to make ea
Alexus [3.1K]

Alex bought all the string needed for $125.

It costs $18 for the remaining materials to make each puppet.

So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.

And the variable cost is $18.

In this case we can model a Total cost function C(x) for for x number of puppets as below

C(x)=125+18x\\ \\ \text{Here x is the number of puppets}\\ \\ \text{Since in our case the number of puppets is 50 so replace x by 50 we get }\\ \\ C(50)=125+18*50\\ \\ C(50)=125+900\\ \\ C(50)=1025  \ dollar.

The total cost to make 50 puppets=$1025

3 0
3 years ago
Read 2 more answers
Please help with geometry homework!!!!
EleoNora [17]

Area of Parallelogram ABCD is equivalent to the area of rectangle AXBY.

Area of rectangle AXBY= Length AX * Length AB= 3 ft * 4√2 ft = 12√2 sq.ft.

Thus Area of Parallelogram is 12√2 sq.ft.

4 0
3 years ago
Tell whether each triangle with the given side lengths is a right triangle.
azamat

should be 60 cm if not it's 11

3 0
4 years ago
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