MATHEMATICS HIGH SCHOOL

Variable y varies directly with variable x, and y = 16 when x = 12. Enter the constant of variation in lowest terms.

y = blank/ blank x

Answers

Answer 1
Answer: y=kx
find k
y=16
x=12
16=k12
divide 12
16/12=k
4/3=k

y=4/3x

blanks is 4/3

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a farmhouse shelters 11 animals. Some are goats and some are ducks. Altogether there are 34 legs. How many of each animal are there?

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A bag contains 3 red Skittles, 4 yellow Skittles, 6 green Skittles, 5 red jelly beans, 8 yellow jelly beans, and 7 green jellybeans. a) Give an example of a mutually exclusive event.

Answers

a shop contains 3 red shelves, 4 yellow shelves, 6 green shelves, 5 red chairs, 8 yellow chairs, and 7 green chairs.

Choose the correct simplification of the expression (x2y)2. x4y3
x6y6
x4y2
xy4

Answers

Answer:  The correct option is (C) x^4y^2.

Step-by-step explanation:  We are given to select the correct expression that is equivalent to the expression below:

E=(x^2y)^2.

We will be using the following properties of exponents:

(i)~(a^b)^c=a^(b* c),\n\n(ii)~(ab)^c=a^cb^c.

We have

E=(x^2y)^2=(x^2)^2y^2=x^(2* 2)y^2=x^4y^2.

Therefore, the required equivalent expression is x^4y^2.

Thus, (C) is the correct option.

The correct simplification of the expression(x^2y)^2 is x^4y^2.

Option C. is correct.

Here, we have,

To simplify the expression, we apply the power of a power rule,

which states that (a^m)^n = a^{m*n.

In this case, x^2y raised to the power of 2 can be simplified as follows:

(x^2y)^2 = x^{2^(2) * y^(2)

=x^4y^2

Therefore, the correct simplification of  (x^2y)^2 is x^4y^2.

Option C. is correct.

To learn more on Expression click:

brainly.com/question/14083225

#SPJ6

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2. T-T-T-H 6. T-H-T-H 10. H-T-T-H 14. H-H-T-H
3. T-T-H-T 7. T-H-H-T 11. H-T-H-T 15. H-H-H-T
4. T-T-H-H 8. T-H-H-H 12. H-T-H-H 16. H-H-H-H
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Answers

Hello,

TTTT=>(1/2)^4=1/16
=================

Answer:

TTTT=>(1/2)^4=1/16

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Answers