Why is the following an equation? 4(52 − 1) = 96 A. It contains a variable. B. It contains parentheses. C. It contains more than one operation. D. It contains an equals sign.

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Answer 1

Answer:

Answer:

Step-by-step explanation:

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Ryan and Taylor are both saving money to buy new video game

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Hope they get enough saved.

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what is your question please

Which relationships hold true for the sum of the magnitudes of vectors u and v, which are perpendicular?

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it is

B) ||u+v|| = sqrt ||u||2 + ||v||2

AND

D) ||u+v|| less than ||u||+||v||

check the picture below.

notice, the sum of u+v yields the red vector, and its magnitude is smaller than the sum of the other two green ones.

The owner of a video game store creates the expression −2x^2 + 24x + 174 to represent the store's weekly profit in dollars, where x represents the price of a new video game. Choose the equivalent expression that reveals the video game price that produces the highest weekly profit, and use it to determine the price.−2(x^2 − 12x) + 174; x = $12
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The answer is the second one

A baseball is hit inside a baseball diamond with a length and width of 90 feet each. What is the probability that the ball will bounce on the pitchers mound, if the diameter of the mound is 18 feet? Assume that the ball is equally likely to bounce anywhere in the infield. When applicable, leave your answer in terms of pie and include all necessary calculations.

Answers

Answer:

$(\pi )/(100)$

Step-by-step explanation:

The first thing to notice is that the diamond is just a square rotated 45 degrees square, with 90 feet sides, so the total area of the diamond is:

A(square)= l x l = 90 ft * 90 ft = 8100 $ft^(2)$

We also need to calculate the area of the mound, assuming it being a circle:

A(circle)= $\pi * r^(2)$ And r=diameter/2= 18 ft/2 = 9 ft

A(circle) = $\pi * (9 ft)^(2)$ = 81 $\pi ft^(2)$

Now since the ball has an equal chance of bouncing anywhere in the field, the probability would be the ratio of the area occupied by the mound inside of the diamond.

P= $(81\pi ft^(2))/(8100 ft^(2))$ = $(\pi )/(100)$

90(squared) + 90 (squared) = C (squared)
(we use 90 because the base path is 90 ft long since the diamond is a square that makes all sides 90 ft long)
8100 + 8100 = c(squared)
16200 = c(squared)
we will get the square root of 16200 to get the diagonal length
C=127.3 ft, and since it is the diagonal distance we will device it to 2, to get the distance from the pitcher ro the 2nd base.
127.3/2 = 67.7 ft.
67.7 ft is the distance from the pitcher to the 2nd base.

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