A class has 10 boys and 15 girls. What is the ratio of boys to girls

For number 6, evaluate the definite integral.

maks197457 [2]

$\bf \displaystyle \int\limits_{0}^{28}\ \cfrac{1}{\sqrt[3]{(8+2x)^2}}\cdot dx\impliedby \textit{now, let's do some substitution}\\\\
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u=8+2x\implies \cfrac{du}{dx}=2\implies \cfrac{du}{2}=dx\\\\
-------------------------------\\\\$

$\bf \displaystyle \int\limits_{0}^{28}\ \cfrac{1}{\sqrt[3]{u^2}}\cdot \cfrac{du}{2}\implies \cfrac{1}{2}\int\limits_{0}^{28}\ u^{-\frac{2}{3}}\cdot du\impliedby 
\begin{array}{llll}
\textit{now let's change the bounds}\\
\textit{by using } u(x)
\end{array}\\\\
-------------------------------\\\\
u(0)=8+2(0)\implies u(0)=8
\\\\\\
u(28)=8+2(28)\implies u(28)=64$

$\bf \\\\
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\displaystyle \cfrac{1}{2}\int\limits_{8}^{64}\ u^{-\frac{2}{3}}\cdot du\implies \cfrac{1}{2}\cdot \cfrac{u^{\frac{1}{3}}}{\frac{1}{3}}\implies \left. \cfrac{3\sqrt[3]{u}}{2} \right]_8^{64}
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\left[ \cfrac{3\sqrt[3]{(2^2)^3}}{2} \right]-\left[ \cfrac{3\sqrt[3]{2^3}}{2} \right]\implies \cfrac{12}{2}-\cfrac{6}{2}\implies 6-3\implies 3$

3 0

2 years ago

Can you help with part c I have a and b answered

Vlad [161]

I hope this helps you

8 0

2 years ago

Four students have applied to a special program and only one can be accepted. They have taken a battery of 12 tests and all have

irga5000 [103]

Answer:B

Step-by-step explanation:

Given

Every student secure same average score

Standard deviation is denoted by \sigma

$\sigma _A=3.12$

$\sigma _B=0.27$

$\sigma _C=13.45$

$\sigma _D=6.45$

Consistency is criteria of acceptance then Student should be selected the standard deviation is least for student B.

Standard deviation tells how a data varies from mean Position .

More Deviation from mean indicates less consistency .

6 0

2 years ago

Please help asap!

sergey [27]

Answer:

I think -24 for the hourly change

Step-by-step explanation:

10-24= -14

8 0

2 years ago

Read 2 more answers

Jimmy's costume requires ⅞ + ½ + 1 3/4 yards of fabric. His sister's costume requires 3 x (⅞ + ½ + 1 ⅔) the amount of fabric tha

liq [111]

Answer:

The correct answer is fabric Jimmy's sister needs = $\frac{73}{8}$ × fabric Jimmy needs = $\frac{73}{8}$ × $\frac{25}{8}$ yards of fabric.

Step-by-step explanation:

Jimmy's costume requires ⅞ + ½ + 1 $\frac{3}{4}$ yards of fabric = $\frac{7}{8} +\frac{4}{8} + \frac{14}{8} = \frac{25}{8}$ yards.

His sister's costume requires 3 x (⅞ + ½ + 1 ⅔) the amount of fabric that Jimmy needs = 3× ( $\frac{21}{24} + \frac{12}{24} + \frac{40}{24}$ ) yards of what Jimmy needs = $\frac{73}{8}$ yards of what Jimmy needs.

The relationship between how much fabric Jimmy needs and how much fabric his sister needs is given by

Fabric Jimmy's sister needs = $\frac{73}{8}$ × fabric Jimmy needs = $\frac{73}{8}$ × $\frac{25}{8}$ yards of fabric.

7 0

3 years ago