All categories

3 years ago

40 free throws and was successful on 25% of them.How many successful free throws did she make?

Mathematics

1 answer:

Degger [83]3 years ago

5 0

Answer:

Step-by-step explanation:

25% means 1/4.

That means divide the total by 4 to get 25%.

40 divided by 4 is 10.

You might be interested in

Factor the expression 36a^2 - 49b^2

blagie [28]

Answer:a 2 − b 2 = ( a + b ) ( a − b ) where a = 6 a and b = 7 b . ( 6 a + 7 b ) ( 6 a − 7 b

Step-by-step explanation:

6 0

3 years ago

F(x) 5x/x-2

Phoenix [80]

Answer:

Vertical asymptote: x=2

Horizontal asymptote: y=5

Step-by-step explanation:

Hi there!

The parent function for a rational function has a horizontal asymptote at y=0 and a vertical asymptote at x=0.

First, we want to perform long division on 5x/x-2. Please check the image attached.

The result is $5+\displaystyle\frac{10}{x-2}$ .

Here are the transformations of a rational function:

$f(x)=\displaystyle\frac{a}{b(x-h)}+k$

a = vertical stretch

b = horizontal stretch

h = horizontal translation

k = vertical translation

Stretches don't change the location of the asymptotes, only the translations do.

According to $5+\displaystyle\frac{10}{x-2}$ , we applied a horizontal translation of 2 units right and a vertical translation of 5 units up. Therefore, our asymptotes are now x=2 and y=5.

I hope this helps!

6 0

2 years ago

Find the measure of the angle indicated in bold.

lisov135 [29]

Answer:

115 sirrrrr

Step-by-step explanation:

3 0

2 years ago

A room has a length of 12.62 ft and a width of 10.2 ft. Find the perimeter of the room with the correct number of significant di

marusya05 [52]

Answer:

45.6 ft

Step-by-step explanation:

The room is a rectangle. The perimeter of a rectangle is

perimeter = 2L + 2W

perimeter = 2(12.62 ft) + 2(10.2 ft)

perimeter = 25.24 ft + 20.4 ft

perimeter = 45.64 ft

Since 10.2 ft has only 3 significant digits, the answer must also have only 3 significant digits.

Answer: perimeter = 45.6 ft

5 0

3 years ago

Let f(x) = [infinity] xn n2 n = 1. find the intervals of convergence for f. (enter your answers using interval notation. ) find

inna [77]

Best guess for the function is

$\displaystyle f(x) = \sum_{n=1}^\infty \frac{x^n}{n^2}$

By the ratio test, the series converges for

$\displaystyle \lim_{n\to\infty} \left|\frac{x^{n+1}}{(n+1)^2} \cdot \frac{n^2}{x^n}\right| = |x| \lim_{n\to\infty} \frac{n^2}{(n+1)^2} = |x| < 1$

When $x=1$ , $f(x)$ is a convergent $p$ -series.

When $x=-1$ , $f(x)$ is a convergent alternating series.

So, the interval of convergence for $f(x)$ is the closed interval $\boxed{-1 \le x \le 1}$ .

The derivative of $f$ is the series

$\displaystyle f'(x) = \sum_{n=1}^\infty \frac{nx^{n-1}}{n^2} = \frac1x \sum_{n=1}^\infty \frac{x^n}n$

which also converges for $|x|$ by the ratio test:

$\displaystyle \lim_{n\to\infty} \left|\frac{x^{n+1}}{n+1} \cdot \frac n{x^n}\right| = |x| \lim_{n\to\infty} \frac{n}{n+1} = |x| < 1$

When $x=1$ , $f'(x)$ becomes the divergent harmonic series.

When $x=-1$ , $f'(x)$ is a convergent alternating series.

The interval of convergence for $f'(x)$ is then the closed-open interval $\boxed{-1 \le x < 1}$ .

Differentiating $f$ once more gives the series

$\displaystyle f''(x) = \sum_{n=1}^\infty \frac{n(n-1)x^{n-2}}{n^2} = \frac1{x^2} \sum_{n=1}^\infty \frac{(n-1)x^n}{n} = \frac1{x^2} \left(\sum_{n=1}^\infty x^n - \sum_{n=1}^\infty \frac{x^n}n\right)$

The first series is geometric and converges for $|x|$ , endpoints not included.

The second series is $f'(x)$ , which we know converges for $-1\le x$ .

Putting these intervals together, we see that $f''(x)$ converges only on the open interval $\boxed{-1 < x < 1}$ .

6 0

1 year ago