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2 years ago

The formula for surface area of a cube is SA = 652, where SA is the surface area and s is the

Mathematics

1 answer:

Aliun [14]2 years ago

5 0

Answer:

24p^2q^2?

Step-by-step explanation:

Not enough info, so this is what I could get...

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Simplify. [3 • (3 – 9)] + 9

Marat540 [252]

Answer:

(9-27)+9

=-18+9

=-9 is the answer

4 0

3 years ago

How to compare 2 5/9 and 21/3

max2010maxim [7]

Answer:

2 5/9 is less than 21/3; 2 5/9 < 21/3

Step-by-step explanation:

Step 1: Convert 2 5/9 into an improper fraction

2 5/9 = 2 * 9/9 + 5/9 = 18/9 + 5/9 = 23/9

Step 2: Convert 21/3 so the denominator is 9

21*3 / 3*3 = 63/9

Step 3: Compare

23/9 < 63/9

Answer: 2 5/9 is less than 21/3; 2 5/9 < 21/3

5 0

3 years ago

Read 2 more answers

The drama club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $5.50 and bags of cookies c

vaieri [72.5K]

Let's assume

the number of bags of candy =x

the number of bags of cookies =y

There were 5 more bags of cookies sold than candy

so, we get

$y=x+5$

Bags of candy cost $5.50

so, total cost of candy is

$=5.50x$

bags of cookies cost $3.50

so, total cost of cookies is

$=3.50y$

so,

total cost = (total cost of candy)+(total cost of cookies)

we get

total cost =5.50x+3.50y

so, we can plug

$5.50x+3.50y=53.50$

now, we can plug y

$5.50x+3.50(x+5)=53.50$

$5.5x\cdot \:10+3.5\left(x+5\right)\cdot \:10=53.5\cdot \:10$

$55x+35\left(x+5\right)=535$

$55x+35x+175=535$

$90x+175=535$

$90x+175-175=535-175$

$90x=360$

$x=4$

now, we can find y

$y=x+5$

$y=4+5$

$y=9$

so,

the number of bags of candy =4

the number of bags of cookies =9............Answer

5 0

3 years ago

Find the Fourier series of f on the given interval. f(x) = 1, ?7 < x < 0 1 + x, 0 ? x < 7

Zolol [24]

$f(x)=\begin{cases}1&\text{for }-7$

The Fourier series expansion of $f(x)$ is given by

$\dfrac{a_0}2+\displaystyle\sum_{n\ge1}a_n\cos\frac{n\pi x}7+\sum_{n\ge1}b_n\sin\frac{n\pi x}7$

where we have

$a_0=\displaystyle\frac17\int_{-7}^7f(x)\,\mathrm dx$
$a_0=\displaystyle\frac17\left(\int_{-7}^0\mathrm dx+\int_0^7(1+x)\,\mathrm dx\right)$
$a_0=\dfrac{7+\frac{63}2}7=\dfrac{11}2$

The coefficients of the cosine series are

$a_n=\displaystyle\frac17\int_{-7}^7f(x)\cos\dfrac{n\pi x}7\,\mathrm dx$
$a_n=\displaystyle\frac17\left(\int_{-7}^0\cos\frac{n\pi x}7\,\mathrm dx+\int_0^7(1+x)\cos\frac{n\pi x}7\,\mathrm dx\right)$
$a_n=\dfrac{9\sin n\pi}{n\pi}+\dfrac{7\cos n\pi-7}{n^2\pi^2}$
$a_n=\dfrac{7(-1)^n-7}{n^2\pi^2}$

When $n$ is even, the numerator vanishes, so we consider odd $n$ , i.e. $n=2k-1$ for $k\in\mathbb N$ , leaving us with

$a_n=a_{2k-1}=\dfrac{7(-1)-7}{(2k-1)^2\pi^2}=-\dfrac{14}{(2k-1)^2\pi^2}$

Meanwhile, the coefficients of the sine series are given by

$b_n=\displaystyle\frac17\int_{-7}^7f(x)\sin\dfrac{n\pi x}7\,\mathrm dx$
$b_n=\displaystyle\frac17\left(\int_{-7}^0\sin\dfrac{n\pi x}7\,\mathrm dx+\int_0^7(1+x)\sin\dfrac{n\pi x}7\,\mathrm dx\right)$
$b_n=-\dfrac{7\cos n\pi}{n\pi}+\dfrac{7\sin n\pi}{n^2\pi^2}$
$b_n=\dfrac{7(-1)^{n+1}}{n\pi}$

So the Fourier series expansion for $f(x)$ is

$f(x)\sim\dfrac{11}4-\dfrac{14}{\pi^2}\displaystyle\sum_{n\ge1}\frac1{(2n-1)^2}\cos\frac{(2n-1)\pi x}7+\frac7\pi\sum_{n\ge1}\frac{(-1)^{n+1}}n\sin\frac{n\pi x}7$

3 0

3 years ago

You spin a spinner numbered 1 through 10. Find the probability of landing on an even number.

DENIUS [597]

Answer:

probability of landing on purple and pink. Find the missing probability. get ... numbered 1 through 5. Predict how many times out of 240 spins the spinner is most likely to stop on an odd number. odd ... Answer: red marbles. D. 10 total blue marbles green marbles. 1 2 2 2 2 ... You receive a less expensive prize if you spin and.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers