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Ratling [72]
3 years ago
8

Enter the power of 10 that makes an expression equivalent to 12,500.

Mathematics
2 answers:
Anni [7]3 years ago
8 0
1250
Not all hero’s wear capes
lesantik [10]3 years ago
3 0

Answer:

1250

Step-by-step explanation:

its correct answer

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Can someone pls find the slope and y-intercept ASAP!!
Semenov [28]

Answer:

4/1. with an intercept of 5

3 0
3 years ago
Simplify the expression 12( a+ 5)
Savatey [412]

Answer:

12a+60 i think lol

Step-by-step explanation:

this is how i did it though:

12(a+b)

12a+60

5 0
3 years ago
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Which equation can be used to find the volume of the cylinder?
Likurg_2 [28]
V = pi (6) squared (8)

Explanation: The formula for finding the volume of a cylinder is V = pi (radius) squared (height) so you just fill in the numbers and boom
8 0
3 years ago
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Find constants a and b such that the function y = a sin(x) + b cos(x) satisfies the differential equation y'' + y' − 5y = sin(x)
vichka [17]

Answers:

a = -6/37

b = -1/37

============================================================

Explanation:

Let's start things off by computing the derivatives we'll need

y = a\sin(x) + b\cos(x)\\\\y' = a\cos(x) - b\sin(x)\\\\y'' = -a\sin(x) - b\cos(x)\\\\

Apply substitution to get

y'' + y' - 5y = \sin(x)\\\\\left(-a\sin(x) - b\cos(x)\right) + \left(a\cos(x) - b\sin(x)\right) - 5\left(a\sin(x) + b\cos(x)\right) = \sin(x)\\\\-a\sin(x) - b\cos(x) + a\cos(x) - b\sin(x) - 5a\sin(x) - 5b\cos(x) = \sin(x)\\\\\left(-a\sin(x) - b\sin(x) - 5a\sin(x)\right)  + \left(- b\cos(x) + a\cos(x) - 5b\cos(x)\right) = \sin(x)\\\\\left(-a - b - 5a\right)\sin(x)  + \left(- b + a - 5b\right)\cos(x) = \sin(x)\\\\\left(-6a - b\right)\sin(x)  + \left(a - 6b\right)\cos(x) = \sin(x)\\\\

I've factored things in such a way that we have something in the form Msin(x) + Ncos(x), where M and N are coefficients based on the constants a,b.

The right hand side is simply sin(x). So we want that cos(x) term to go away. To do so, we need the coefficient (a-6b) in front of that cosine to be zero

a-6b = 0

a = 6b

At the same time, we want the (-6a-b)sin(x) term to have its coefficient be 1. That way we simplify the left hand side to sin(x)

-6a  -b = 1

-6(6b) - b = 1 .... plug in a = 6b

-36b - b = 1

-37b = 1

b = -1/37

Use this to find 'a'

a = 6b

a = 6(-1/37)

a = -6/37

8 0
2 years ago
What is the ordered pair for 16x – 2y = 74 and 2x – 2y = 4?
34kurt
The answer is ....................
X=5
Y=3

8 0
3 years ago
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