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Trava [24]
3 years ago
11

Which expression is equivalent to?

Mathematics
1 answer:
Lapatulllka [165]3 years ago
6 0

Answer: 7x^3y^4z^2

Step-by-step explanation:

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The cost of a new CD is $14.95, and the cost of a video game is $39.99. How much would c CDs and v video games cost?
8090 [49]

Answer:

14.95c+39.99v

Step-by-step explanation:

3 0
2 years ago
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for the given kite find the length of side LM write your answer in simplest radical form. show all work.
Gnesinka [82]

Answer:

13sqrt(2) units

Step-by-step explanation:

LM² = 7² + 17²

LM² = 338

LM = sqrt(338)

LM = 13sqrt(2)

sqrt: square root

3 0
3 years ago
In x^a=y, y^b=z, z^c=x, then prove that abc=1​
Marysya12 [62]

Step-by-step explanation:

Let, x^a =y......(1) and

y^b =z.....(2) and

z ^c =x......(3).

Now, using (1) in (2) we get,

x ^ab =z......(4).

Now, using (4) in (3) we get,

x ^abc =x

or, x ^abc =x ^1

or, abc=1.

Hope it will help :)

7 0
2 years ago
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Which of the following functions are solutions of the differential equation y" + y = 7 sin(x)? (Select all that apply.)
Nikitich [7]

The homogeneous equation

y'' + y = 0

has characteristic equation

r² + 1 = 0

with roots at r = ± √(-1) = ± i, and so the characteristic solution is

y = C₁ cos(x) + C₂ sin(x)

Using the method of undetermined coefficients, suppose

y = a x cos(x) + b x sin(x)

(we would normally consider y = a cos(x) + b sin(x), but cos(x) and sin(x) are already part of the characteristic solution)

The derivatives are

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

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

and

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

y'' = (-2a - b x) sin(x) + (2b - a x) cos(x)

Then

y'' + y = (-2a - b x) sin(x) + (2b - a x) cos(x) + a x cos(x) + b x sin(x)

7 sin(x) = -2a sin(x) + 2b cos(x)

and it follows that a = -7/2 and b = 0.

So, the general solution to the DE is

y = C₁ cos(x) + C₂ sin(x) - 7/2 x cos(x)

which means the only valid solutions from the given choices are

y = 7 sin(x)

y = 7 cos(x)

4 0
2 years ago
63 is 90% of what number
otez555 [7]
The answer is 70.

You can just divide 63 by 0.9.

Hope this helped. :)
8 0
3 years ago
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