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valina [46]
3 years ago
9

1. 7:4 = 21:x; what is the value of x? A. 12 B. 10 C. 8 D. 6 E. 4 8.

Mathematics
1 answer:
Soloha48 [4]3 years ago
8 0

Answer:

x = 12

I hope it's helps you

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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
Fred is 4 times as old as Nathan and is also 27 years older than Nathan. Let f be Fred's age and let n be Nathan's age.
bazaltina [42]

Answer:

The system of equations is

 and  

Fred's age is 36 years old and Nathan's age is 9 years old

Step-by-step explanation:

Let

f -----> Fred's age

n ----> Nathan's age

we know that

-----> equation A

----> equation B

equate the equations and solve for n

Find the value of f

therefore

Fred's age is 36 years old and Nathan's age is 9 years old

6 0
3 years ago
Read 2 more answers
Please helpppp!!(:
kotykmax [81]

Answer:

200

Step-by-step explanation:

8 0
3 years ago
Pls Help ASAP..................
AlekseyPX

Answer:

1. 8+(30/(2+4)) = 8+(30/6) = 8+5 = 13

2. ((8+30)/2)+4 = (38/2)+4 = 19+4 = 23

Step-by-step explanation:

:)

4 0
3 years ago
Read 2 more answers
If 332 students brought shirts and there are 830 students at the school what percents of the student brought shirts
Anika [276]

Answer: 40%

Step-by-step explanation: What I like doing with problems like this is work backward, so that is how this explanation is going to work.

830*0.40=332 so that is how I got 40% now lets dig a little deeper.

How to find percent is take the whole and times it by the decimal of percent you want (eg. if 400 is my whole I want to find out what 30% of it is I would do 400*0.30)

So then we take our 830 times it by what we think best fits and that's how I solved it!

If you need any further help let me know!

6 0
3 years ago
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