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3 years ago

10

A basketball player makes 6 of 10 free throws in the first week of the season. If she shoots with the same accuracy for the next

week, how many of the 25 free throws she attempts will she make?

1 answer:

Alex777 [14]3 years ago

5 0

Answer:

15

Step-by-step explanation:

First divide: 6/10 ( to get a rate)

Next multiply: 25*0.6

Final answer: 15

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Consider the circle of radius 5 centered at (0, 0). Find an equation of the line tangent to the circle at the point (3, 4) in sl

Wittaler [7]

Answer:

$\displaystyle y= -\frac{3}{4} x + \frac{25}{4}$ .

Step-by-step explanation:

The equation of a circle of radius $5$ centered at $(0,0)$ is:

$x^{2} + y^{2} = 5^{2}$ .

$x^{2} + y^{2} = 25$ .

Differentiate implicitly with respect to $x$ to find the slope of tangents to this circle.

$\displaystyle \frac{d}{dx}[x^{2} + y^{2}] = \frac{d}{dx}[25]$

$\displaystyle \frac{d}{dx}(x^{2}) + \frac{d}{dx}(y^{2}) = 0$ .

Apply the power rule and the chain rule. Treat $y$ as a function of $x$ , $f(x)$ .

$\displaystyle \frac{d}{dx}(x^{2}) + \frac{d}{dx}(f(x))^{2} = 0$ .

$\displaystyle \frac{d}{dx}(2x) + \frac{d}{dx}(2f(x)\cdot f^{\prime}(x)) = 0$ .

That is:

$\displaystyle \frac{d}{dx}(2x) + \frac{d}{dx}\left(2y \cdot \frac{dy}{dx}\right) = 0$ .

Solve this equation for $\displaystyle \frac{dy}{dx}$ :

$\displaystyle \frac{dy}{dx} = -\frac{x}{y}$ .

The slope of the tangent to this circle at point $(3, 4)$ will thus equal

$\displaystyle \frac{dy}{dx} = -\frac{3}{4}$ .

Apply the slope-point of a line in a cartesian plane:

$y - y_0 = m(x - x_0)$ , where

$m$ is the gradient of this line, and
$(x_0, y_0)$ are the coordinates of a point on that line.

For the tangent line in this question:

$\displaystyle m = -\frac{3}{4}$ ,
$(x_0, y_0) = (3, 4)$ .

The equation of this tangent line will thus be:

$\displaystyle y - 4 = -\frac{3}{4} (x - 3)$ .

That simplifies to

$\displaystyle y= -\frac{3}{4} x + \frac{25}{4}$ .

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3 years ago

in the state of manie,the ratio of moose to people is 5 to 2.If a certain county in Maine has a population of 1,120 people, how

viva [34]

Where is the state of "manie"?

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3 years ago

Can I please have some help !

maw [93]

Answer:

No because when you set it up it would be 11/9.4 which equals 1.17

Then you do the other side, 10/8.4 which equals 1.19

And 1.17 doesn't equal 1.19 so they are not similar

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Lloyd's account has a balance of −$53.50. If he owes the bank more than $40, his account gets closed. Which of the following is

Dima020 [189]

Lloyd's bank account will be closed because he owes more than $40, he would have to pay the bank $53.50 to no longer owe them any money.

It gets closed because |-53.50| > 40

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Ann [662]

Answer:

There could be many, my estimate would be around 100.

Step-by-step explanation:

It may sound exaggerated but it can be.

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