When factored completely, the expression p^4 - 81 is equivalent to(1) (p^2 + 9)(p^2 - 9)
(2) (p^2 - 9)(p^2 - 9)
(3) (p^2 + 9)(p + 3)(p - 3)
(4) (p + 3)(p - 3)(p + 3)(p - 3)
PLEASE HELP ILL LOVE U FOREVER

Answers

Answer 1

Answer: Please see the pic, I'd solved in it.

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the coordinates of point A are (6,-7) and the coordinates of point B are (-6,2) point M is the midpoint of AB find the coordinates of m

Answers

The coordinates of point M, the midpoint of line segment AB, are (0, -2.5).

What is the midpoint of line AB?

The midpoint formula is expressed as;

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

Given the parameter:

Point A (6,-7): x₁ = 6 and y₁ = -7

Point B (-6,2): x₂ = -6 and y₂ = 2

Plug the coordinates into the above formula and simplify:

$M = ((x_1 + x_2 )/(2) , (y_1 + y_2)/(2) )\n\nM = ((6+(-6) )/(2) , (-7 + 2)/(2) )\n\nSimplify:\n\nM = ((0 )/(2) , (-5)/(2) )\n\nM = (0 , -2.5 )$

Therefore, the coordinates of the midpoint M are (0,-2.5).

Learn more about the midpoint formula here: brainly.com/question/14687140

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The midpoint of segment AB is (0, 2.5).

Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute.a)What are the values of the mean and standard deviation after converting all pulse rates of women to z-scores using z=(x−μ)/σ?

b)The original pulse rates are measured with units of "beats per minute." What are the units of the corresponding z-scores?

Answers

Answer:

a) Mean=0 and Standard deviation=1

b) The z-scores have no units of measurement

Step-by-step explanation:

When we convert all the pulse rates of women to z-scores using the formula;

$z=(x-\mu)/(\sigma)$ the mean is 0 and the standard deviation is 1.

The reason is that, the resulting distribution of z-scores forms a normal distribution which has a mean of 0 and a standard deviation of 1.

b) The z-scores are standardize scores and has no units of measurement. They give us how many standard deviations below or above the mean of the corresponding values.

Final answer:

Converting pulse rates into z-scores standardizes them into a standard normal distribution, yielding a mean of zero and a standard deviation of one. Z-scores are dimensionless and do not carry original physical units of measurement.

Explanation:

The question is asking about the properties of a z-score in the context of pulse rates of women. Here is the answer:

a) When converting to z-scores, regardless of the population parameters, the mean (μ) will always be 0 and standard deviation (σ) always 1. This conversion process is called standardization, which results in a standard normal distribution.

b) In the context of z-scores, the units are dimensionless. Because a z-score result is derived from a mathematical manipulation and not a direct measurement, it does not carry physical units like "beats per minute" in pulse rates. This characteristic enables us to make meaningful comparisons between different types of data.

Learn more about z-scores here:

brainly.com/question/15016913

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A toddler crawled 3 yards, stopped, then continued to crawl 11 more feet. How many feet did he travel in total?

Answers

So how many Feet right? A yard has 3 feet in it so 3*3=9, nine feet there. So 9+11= 20. The toddler traveled 20 feet total.

add them up
wait, convert yards to feet
3 feet in 1 yard
times 3
9 feet in 3 yard

9 feet first, then 11 feet
add
9+11=20 feet

K m over-7=n solve for k

Answers

Given,

(k × m) ÷ (-7) = n

Cross multiplying all the terms on the left hand side to the ones on the right hand side,

k = (-7n) ÷ m

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Find f(x)=x 4/7+9/14 can someone help me solve this as a improper fraction

Answers

the expression in the form of an improper fraction is: $f(x) = (14x^(4/7) + 9) / 14$ . To find f(x) when $f(x) = x^(4/7) + 9/14$ , we need to combine the terms on the right-hand side and simplify the expression.

Step 1: Combine the terms on the right-hand side:

$f(x) = x^(4/7) + 9/14$

Step 2: To express $x^(4/7)$ as an improper fraction, we raise x to the power of 4/7. Remember that the denominator of a fraction represents the root (in this case, the 7th root) and the numerator represents the power (in this case, 4).