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3 years ago

(5x²)³ = _ A. 25x ^6 B. 125x^1 C.125x^ 5 D.125x ^6

Mathematics

2 answers:

Natasha_Volkova [10]3 years ago

6 0

Multiply the powers 5x^2*3=6 5x^6

gavmur [86]3 years ago

4 0

(5x^2)^3 is the same as 5^3 * (x^2)^3.

When doing (x^2)^3 you multiply the powers.

This means that it is the same as 125x^6.

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Which products result in a difference of squares? Check all that apply.(x – y)(y – x)(6 – y)(6 – y)(3 + xz)(–3 + xz)(y2 – xy)(y2

nikitadnepr [17]

1. (3 + xz)(–3 + xz)

2. (y² – xy)(y² + xy)

3. (64y2 + x2)(–x2 + 64y2)

Explanation

The difference of 2 squares is in the form (a+b)(a-c).

(3 + xz)(–3 + xz) = (3 + xz)(xz -3)

= (xz + 3)(xz - 3)

= x²y²-3xy+3xy-9

=x²y² - 3²

(y² – xy)(y² + xy) = y⁴+xy³-xy³-x²y²

= y⁴ - x²y²

(64y2 + x2)(–x2 + 64y2)= (64y²+x²)(64y²-x²)

= 4096y⁴-64y²x²+64y²x²-x⁴

= 4096y⁴ - x⁴

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3 years ago

A company designs T-shirts. They charge $40 for set-up cost plus $12 per shirt. write the slope intercept form.

Dovator [93]

Answer: y= 12x +40

Step-by-step explanation:

7 0

3 years ago

4x^2-5x-15=0 how to find the vertex and y intercept

mezya [45]

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3 years ago

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solniwko [45]

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3 years ago

Two dance teams, the Roses and the Tulips, are perfectly matched so that their chances of winning are both set at 50%. What is t

shtirl [24]

Answer:

Step-by-step explanation:

Step 1

The fist step is to define the probabilities.

The events are independent from each other. Each team wins with probability $\frac{1}{2}$ and looses with probability $\frac{1}{2}.$ Let $P(W_R)$ be probability that Roses win and $P(L_R)$ be the probability that Roses loose.

Step 2

The second step is to calculate the probabilities by multiplying the probabilities with the first 3 terms in the product being the probability of a win and the last term being the probability of a loss.

The calculation is shown below,

$P(W_R)\times P(W_R)\times P(W_R)\times P(L_R)=\frac{1}{2} \times \frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}$

Step 3

The last step is to convert this probability into a percentage. Converting this probability to a percentage is done as shown below,

$\frac{1}{16} \times 100\%=6.25\%.$

Step 4

The next step is to round down the percentage . The value of 6.25% rounded down is 6%. The correct answer is 6%.

3 0

3 years ago