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tia_tia [17]
3 years ago
12

What is the value of p in the equation? One-fourth (8 minus 4 p) + 2 p = 12

Mathematics
2 answers:
Tom [10]3 years ago
6 0

P is equal to 10

How to get your answer:

So 1/4(8-4p) + 2p = 12

First you need to distributive by multiplying 1/4 to each term like this:

2 - p + 2p =12

Then you have to combine to terms just as I did below:

2 + p = 12

Then you need to subtract 2 from both sides to get 10 so:

P = 10

ozzi3 years ago
3 0

1/4(8-4p) + 2p = 12

Use distributive property by multiplying 1/4 by each term inside parentheses:

2 - p + 2p =12

Combine like terms:

2 + p = 12

Subtract 2 from both sides:

P = 10

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Step-by-step explanation:

By the geometric mean theorem,

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8^2 + 16^2 = x^2\\\\320=x^2\\\\x=\boxed{8\sqrt{5}}

3 0
2 years ago
What does the algebraic representation (x,y) → (-x, y) represent?
torisob [31]

Answer:

The given algebraic representation (x,y) → (-x, y) represents the reflection of a point (x, y) across the y-axis.

Step-by-step explanation:

We know that when a point P(x, y) is reflected across the y-axis, the x-coordinate changes/reverses its sign, but the y-coordinate stays the same.

Thus, the rule of reflection of a point P(x, y) across y-xis is:

P(x, y) → P'(-x, y)

For example, if a point A(1, 2) is reflected across the y-axis, the coordinates of the image A' of the point A(1, 2) will be:

A(1, 2)  → A'(-1, y)

In our case, we are given the  algebraic representation

(x,y) → (-x, y)

Here:

  • The x-coordinate changes/reverses its sign
  • The y-coordinate stays the same.

Thus, the given algebraic representation (x,y) → (-x, y) represents the reflection of a point (x, y) across the y-axis.

6 0
3 years ago
What is the value of (5!)/3!*2 ​
AveGali [126]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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Step-by-step explanation:

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3 years ago
We would like to test the hypotheses: H0:μ=130 HA:μ&gt;130 We find t=2.33 with 14 degrees of freedom. What is the appropriate p-
Law Incorporation [45]

Answer:

P-value = 0.019

Step-by-step explanation:

We are given ;

Null Hypothesis, H_0 : μ = 130

Alternate Hypothesis, H_1 : μ > 130

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P-value is given by = P(t_1_4 > 2.33) = 0.019 or 1.9% .

Therefore, the appropriate p-value is 0.019 .

4 0
3 years ago
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