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statuscvo [17]
3 years ago
7

Select all that are equal to 5³x 5⁻⁷

Mathematics
2 answers:
AnnyKZ [126]3 years ago
8 0

Answer:

The third and fifth are correct

The second one is NOT correct

Oksana_A [137]3 years ago
5 0
Answer : the second and third ones are correct.

explanation for the second one : they don’t accept negative exponent answers. by putting a “1” on top, it just means that you’re simplifying the problem and you’re just taking the 5^-4 and making it positive

explanation for the third one : it’s just the answer to 5^3•5^-7 but not simplified yet
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Which value, when placed in the circle, would result in a system of equations with infinitely many solutions?
Arlecino [84]

Answer:

A. -10

Step-by-step explanation:

I think you would do like this:

y=2x-5

what about 2y(2x-5) times 2)

so 2y=4x- (-10)

5 0
3 years ago
Consider the differential equation: y′′−8y′=7x+1. Find the general solution to the corresponding homogeneous equation. In your a
Margaret [11]

Answer:

yp = -x/8

Step-by-step explanation:

Given the differential equation: y′′−8y′=7x+1,

The solution of the DE will be the sum of the complementary solution (yc) and the particular integral (yp)

First we will calculate the complimentary solution by solving the homogenous part of the DE first i.e by equating the DE to zero and solving to have;

y′′−8y′=0

The auxiliary equation will give us;

m²-8m = 0

m(m-8) = 0

m = 0 and m-8 = 0

m1 = 0 and m2 = 8

Since the value of the roots are real and different, the complementary solution (yc) will give us

yc = Ae^m1x + Be^m2x

yc = Ae^0+Be^8x

yc = A+Be^8x

To get yp we will differentiate yc twice and substitute the answers into the original DE

yp = Ax+B (using the method of undetermined coefficients

y'p = A

y"p = 0

Substituting the differentials into the general DE to get the constants we have;

0-8A = 7x+1

Comparing coefficients

-8A = 1

A = -1/8

B = 0

yp = -1/8x+0

yp = -x/8 (particular integral)

y = yc+yp

y = A+Be^8x-x/8

3 0
2 years ago
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3 years ago
Of the 12 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees a
Aliun [14]

Answer:

70 groups

Step-by-step explanation:

5c_{3}*7c_{1}

=\frac{5*4*3}{3*2*1} *\frac{7}{1} \\=70

3 0
3 years ago
I ate a bunch of cookies. I had 10 cookies and now I have 6. What was the percent decrease?
kirza4 [7]

Answer:

6/10 - 1 = -0.4 = -40%

A decrease of 40%.

4 0
3 years ago
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