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3 years ago

Which number is rational?

Mathematics

1 answer:

anyanavicka [17]3 years ago

7 0

the second answer chose is the right answer chose

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Simplify the expression (8x^3y^2/4a^2b^4)^-2

icang [17]

Simplify the following:
((8 x^3 y^2 a^2 b^4)/4)^(-2)
8/4 = (4×2)/4 = 2:
(2 x^3 y^2 a^2 b^4)^(-2)
Multiply each exponent in 2 x^3 y^2 a^2 b^4 by -2:
(x^(-2×3) y^(-2×2) a^(-2×2) b^(-2×4))/(2^2)
-2×3 = -6:
(x^(-6) y^(-2×2) a^(-2×2) b^(-2×4))/2^2
-2×2 = -4:
(y^(-4) a^(-2×2) b^(-2×4))/(2^2 x^6)
-2×2 = -4:
(a^(-4) b^(-2×4))/(2^2 x^6 y^4)
-2×4 = -8:
b^(-8)/(2^2 x^6 y^4 a^4)
2^2 = 4:
Answer: 1/(4 x^6 y^4 a^4 b^8) thus the answer is A

3 0

3 years ago

= 28.16

frosja888 [35]

Answer:

20 m

Step-by-step explanation:

4(3+2) = 20

8 0

3 years ago

Find the expected value of the winnings

lord [1]

Answer:

The expected value is $3.95

Step-by-step explanation:

Here, we want to get the expected value

Mathematically, what we have to do here is to multiply each of the probabilities by the pay out value, before we proceed to add up

We have this as;

0(0.5) + 0.2(5) + 0.15(8) + 10(0.1) + 15(0.05)

= 0 + 1 + 1.2 + 1 + 0.75 = 3.95

8 0

3 years ago

Zach is a shoe salesman, and he works on commission. This week, there is a special incentive to sell shoes and boots by a certai

Alexandra [31]

Answer:

Zach earns $10 and for the pair of boots Zach earns $15

Step-by-step explanation:

Let be x the number of pairs of shoes

Let be y the number of pairs of boots

Then we can establish the following system of equations with the data of the statement:

$5x + 9y = 185 \\7x + 9y = 205$

We subtract the second equation from the first equation to eliminate the variable y and solve for x, just like this:

$7x+9y-5x-9y=205-185\\2x=20\\x=\frac{20}{2}\\x=10$

For y replacing in the first equation the value of x and solving for y:

$5.10 + 9y = 185\\9y=185-50\\y=\frac{135}{9}\\y=15$

So for the pair of shoes Zach earns $10 and for the pair of boots Zach earns $15

Please mark be as brainliest if you found this helpful. please

7 0

2 years ago

The shape of the solution region for the system (picture) can be described as which of the following? Select all that apply.

grandymaker [24]

We have
x>=-2
x<=6
y>=-1
y<=4

using a graph tool
see the attached figure

the solution is the figure of a rectangle limited by points
(-2,-1) (6,-1) (-2,4) (6,4)

the answer is
a rectangle
a parallelogram (rectangles are subsets belonging to the set of parallelograms)

5 0

3 years ago