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Leno4ka [110]
3 years ago
14

Which expression is equivalent to y•y•y•z•z•z•z?

Mathematics
2 answers:
Rama09 [41]3 years ago
5 0
Y^3•Z^4 would be an equivalent expression. I’m not sure what your options are though...
oksano4ka [1.4K]3 years ago
4 0
Answer:
(y^3)(z^4)
Because there are three y’s being multiplied by four z’s.
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Find the volume of the cylinder. Round your answer to the nearest tenth.
rjkz [21]

Answer:

87.9

Step-by-step explanation:

I searched it up

3 0
2 years ago
(a) Use the reduction formula to show that integral from 0 to pi/2 of sin(x)^ndx is (n-1)/n * integral from 0 to pi/2 of sin(x)^
Sedbober [7]
Hello,

a)
I= \int\limits^{ \frac{\pi}{2} }_0 {sin^n(x)} \, dx = \int\limits^{ \frac{\pi}{2} }_0 {sin(x)*sin^{n-1}(x)} \, dx \\

= [-cos(x)*sin^{n-1}(x)]_0^ \frac{\pi}{2}+(n-1)*\int\limits^{ \frac{\pi}{2} }_0 {cos(x)*sin^{n-2}(x)*cos(x)} \, dx \\

=0 + (n-1)*\int\limits^{ \frac{\pi}{2} }_0 {cos^2(x)*sin^{n-2}(x)} \, dx \\

= (n-1)*\int\limits^{ \frac{\pi}{2} }_0 {(1-sin^2(x))*sin^{n-2}(x)} \, dx \\
= (n-1)*\int\limits^{ \frac{\pi}{2} }_0 {sin^{n-2}(x)} \, dx - (n-1)*\int\limits^{ \frac{\pi}{2} }_0 {sin^n(x) \, dx\\


I(1+n-1)= (n-1)*\int\limits^{ \frac{\pi}{2} }_0 {sin^{n-2}(x)} \, dx \\
I= \dfrac{n-1}{n} *\int\limits^{ \frac{\pi}{2} }_0 {sin^{n-2}(x)} \, dx \\


b)
\int\limits^{ \frac{\pi}{2} }_0 {sin^{3}(x)} \, dx \\
= \frac{2}{3} \int\limits^{ \frac{\pi}{2} }_0 {sin(x)} \, dx \\
= \dfrac{2}{3}\ [-cos(x)]_0^{\frac{\pi}{2}}=\dfrac{2}{3} \\






\int\limits^{ \frac{\pi}{2} }_0 {sin^{5}(x)} \, dx \\
= \dfrac{4}{5}*\dfrac{2}{3} \int\limits^{ \frac{\pi}{2} }_0 {sin(x)} \, dx = \dfrac{8}{15}\\







c)

I_n=  \dfrac{n-1}{n} * I_{n-2} \\

I_{2n+1}=  \dfrac{2n+1-1}{2n+1} * I_{2n+1-2} \\
= \dfrac{2n}{2n+1} * I_{2n-1} \\
= \dfrac{(2n)*(2n-2)}{(2n+1)(2n-1)} * I_{2n-3} \\
= \dfrac{(2n)*(2n-2)*...*2}{(2n+1)(2n-1)*...*3} * I_{1} \\\\

I_1=1\\






3 0
3 years ago
a car show is selling tickets to rise money. adult tickets sell for $5.00 and children under 12 cost $2.00. you need to raise mo
OlgaM077 [116]
Let c = number of children
Let a = number of adults

5a + 2c > 3350
3 0
2 years ago
N is an integer and - 2<n+3<4, write down the possible values of n from smallest to largest​
Korolek [52]

Answer:

- 4, - 3, - 2, - 1, 0

Step-by-step explanation:

Given

- 2 < n + 3 < 4 ( subtract 3 from each interval )

- 5 < n < 1

This indicates that n ≠ - 5, 1 but all values in between, that is

n = - 4, - 3, - 2, - 1, 0 ← possible values of n

4 0
3 years ago
What information is shown on the horizontal axis of a bar chart?
Bad White [126]

The information shown on the horizontal axis of a bar chart is the qualitative class labels.

<h3>What is a bar chart?</h3>

A bar chart is a graph that is used to represent data graphically using rectangular bars. A bar charts has two axis:

  1. The vertical axis or the y axis which shows the frequency of the observations.
  2. The horizontal axis or the x axis shows the qualitative class labels.

To learn more about bar charts, please check: brainly.com/question/14473126

#SPJ1

4 0
2 years ago
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