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zubka84 [21]
3 years ago
10

Peyton is making a recipe that requires 2 cups of water and 6 cups of flour.what is the ratio as a fraction

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
8 0
1/3 is the ratio of cups of water to cups of flour as a fraction (simplified)
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A piece of plywood was cut so it's length with 8 ft by 4 ft what is the area of the wood
Elena L [17]

The area of an object is found by multiplying the length by the width, so to solve your problem, multiply 8*4 to get 32.

8 0
3 years ago
Find the equation of the line passing<br> through the points (2, 1) and (5, 10).<br> y = [? ]x + [ ]
sladkih [1.3K]

Answer:

y=3x-5

Step-by-step explanation:

m=10-1/5-2

m=9/3

m=3

y=3x+b

x=2, y=1

1=3(2)+b

1=6+b

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Step-by-step explanation:

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2 years ago
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user100 [1]

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Read 2 more answers
Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).
zzz [600]

Answer:

F(t)=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}

Step-by-step explanation:

We have given F(S)=\frac{7e^{-7s}}{s^2-49}

Now  F(S)=e^{-7s}G(s)

Here G(S)=\frac{7}{S^2-49}

Now first find the Laplace inverse of G(S)

Using partial fraction

\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}

7=A(S-7)+B(S+7)

On comparing the coefficient

A=\frac{1}{2}  and B=\frac{-1}{2}  

On putting the value of A and B  

G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}

Taking inverse Laplace

G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}

Now in G(s) there is onether term e^{-7s}

So F(t)=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}

6 0
3 years ago
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