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1 year ago

TJ is thinking of a number

Mathematics

1 answer:

Likurg_2 [28]1 year ago

8 0

Answer:

$\frac{1}{3}n - 5$

Step-by-step explanation:

If n is the number that TJ is thinking, then says he found 1 third of the number, you would multiply 1/3 by n. Then he says to subtract 5, which would be the -5.

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A batter strikes a baseball. the equation y = -0.005^2 +0.7x + 3.5 models its path, where x is the horizontal distance, in feet,

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Answer:

(D)144.8 feet

Step-by-step explanation:

Given the equation which models the path of the baseball

$y = -0.005x^2 +0.7x + 3.5$

where x is the horizontal distance, in feet, the ball travels and y is the height, in feet, of the ball.

To determine how far from the batter the ball will land, we determine the distance x at which the height, y=0.

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We use the quadratic formula to solve.

In the quadratic equation above, a=-0.005, b=0.7, c=3.5

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Since x cannot be negative, x=144.8 feet to the nearest tenth of a foot.

<u>The correct option is D.</u>

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2 years ago

You fly a hot air balloon 0.5 miles above the ground. What is the measure of BD⌢, the portion of Earth that you can see? Round y

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Step-by-step explanation:

To solve this problem, we need the angle CAD, which can then be used to calculate the arc BD.

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The inverse function gives

x = arccosine (4000/4000.5)

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Arc BD = 2 time arc subtended by angle x

= 2 (rx) where x is in radians

= 2*4000*0.01581056485742214

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2 years ago

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