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Anna11 [10]
3 years ago
6

a 28 inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third pi

ece is one inch more than six times the length of the first piece. Find the lengths of the pieces
Mathematics
1 answer:
klasskru [66]3 years ago
3 0
Where x is the length of the first piece
x + 2x + 6x + 1 = 28 \\  \\ 9x = 27 \\  \\ x = 3
so the first piece is 3 inches, the second is 6 inches and the third is 19 inches
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What is the value of<br> 22+3−5 when x=-2?
Reika [66]

Answer:

There is no x in the equation, bu the equation you posted equals 20.

Step-by-step explanation:

22+3−5

25-5=20

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Vaselesa [24]

62.5 is your answer in decimal

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Landon scored an 85% on his test. If he got 34 problems correct, how many were on the test?
Sergeu [11.5K]

Answer:

There are 40 problems on the test

Step-by-step explanation:

Let p = the number of problems on the test

The number of problems on the test times the percent correct is the number correct

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Step-by-step explanation:

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4 years ago
The function f(x)=Acosh(Cx)+Bsinh(Cx). I need help determining the value of constant C&gt;0 when the second derivative f''(x)=25
Rus_ich [418]

Answer:

C = 5.

Step-by-step explanation:

First, you need to remember that:

For the function:

h(x) = Sinh(k*x)

We have:

h'(x) = k*Cosh(k*x)

and for the Cosh function:

g(x) = Cosh(k*x)

g'(x) = k*Cosh(k*x).

Now let's go to our problem:

We have f(x) = A*cosh(C*x) + B*Sinh(C*x)

We want to find the value of C such that:

f''(x) = 25*f(x)

So let's derive f(x):

f'(x) = A*C*Sinh(C*x) + B*C*Cosh(C*x)

and again:

f''(x) = A*C*C*Cosh(C*x) + B*C*C*Sinh(C*x)

f''(x) = C^2*(A*cosh(C*x) + B*Sinh(C*x)) = C^2*f(x)

And we wanted to get:

f''(x) = 25*f(x) = C^2*f(x)

then:

25 = C^2

√25 = C

And because we know that C > 0, we take the positive solution of the square root, then:

C = 5

6 0
3 years ago
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