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bagirrra123 [75]

3 years ago

8

Julio has 47 marbles.He keeps his two favorite marbles,then equally shares the ramaning marbles between 5 friends.How many marbl

es does each friend receive? Explain.

1 answer:

mr_godi [17]3 years ago

6 0

Answer: Everybody gets 5 marbles a piece because he took to of his favorite away which leaves 45 and 9 times 5 is 45 so yeah

Step-by-step explanation:

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B) Let g(x) =x/2sqrt(36-x^2)+18sin^-1(x/6)<br><br> Find g'(x) =

jolli1 [7]

I suppose you mean

$g(x) = \dfrac x{2\sqrt{36-x^2}} + 18\sin^{-1}\left(\dfrac x6\right)$

Differentiate one term at a time.

Rewrite the first term as

$\dfrac x{2\sqrt{36-x^2}} = \dfrac12 x(36-x^2)^{-1/2}$

Then the product rule says

$\left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 x' (36-x^2)^{-1/2} + \dfrac12 x \left((36-x^2)^{-1/2}\right)'$

Then with the power and chain rules,

$\left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 (36-x^2)^{-1/2} + \dfrac12\left(-\dfrac12\right) x (36-x^2)^{-3/2}(36-x^2)' \\\\ \left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 (36-x^2)^{-1/2} - \dfrac14 x (36-x^2)^{-3/2} (-2x) \\\\ \left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 (36-x^2)^{-1/2} + \dfrac12 x^2 (36-x^2)^{-3/2}$

Simplify this a bit by factoring out $\frac12 (36-x^2)^{-3/2}$ :

$\left(\dfrac12 x(36-x^2)^{-1/2}\right)' = \dfrac12 (36-x^2)^{-3/2} \left((36-x^2) + x^2\right) = 18 (36-x^2)^{-3/2}$

For the second term, recall that

$\left(\sin^{-1}(x)\right)' = \dfrac1{\sqrt{1-x^2}}$

Then by the chain rule,

$\left(18\sin^{-1}\left(\dfrac x6\right)\right)' = 18 \left(\sin^{-1}\left(\dfrac x6\right)\right)' \\\\ \left(18\sin^{-1}\left(\dfrac x6\right)\right)' = \dfrac{18\left(\frac x6\right)'}{\sqrt{1 - \left(\frac x6\right)^2}} \\\\ \left(18\sin^{-1}\left(\dfrac x6\right)\right)' = \dfrac{18\left(\frac16\right)}{\sqrt{1 - \frac{x^2}{36}}} \\\\ \left(18\sin^{-1}\left(\dfrac x6\right)\right)' = \dfrac{3}{\frac16\sqrt{36 - x^2}} \\\\ \left(18\sin^{-1}\left(\dfrac x6\right)\right)' = \dfrac{18}{\sqrt{36 - x^2}} = 18 (36-x^2)^{-1/2}$

So we have

$g'(x) = 18 (36-x^2)^{-3/2} + 18 (36-x^2)^{-1/2}$

and we can simplify this by factoring out $18(36-x^2)^{-3/2}$ to end up with

$g'(x) = 18(36-x^2)^{-3/2} \left(1 + (36-x^2)\right) = \boxed{18 (36 - x^2)^{-3/2} (37-x^2)}$

5 0

2 years ago

I need help please what is the correct answer

Sedbober [7]

Y = 0.8597(60) + 73.4728
y = 124.9468

About 125 g

7 0

3 years ago

Write five names for -214

SashulF [63]

Five names for -214 are negative 214, drop of 214, minus 214, below 214, and taking away 214.

4 0

3 years ago

Select Statistical or Not statistical to classify each question.

Oxana [17]

Answer:

the first in is not statistical because it id not a relevant question

the second is statistical because it is asking a relevant question that requires a factual answer while the first one does not have any factual information involved in the answer

Step-by-step explanation:

Hope this helps have a wonderful day

-GayBoi456

5 0

3 years ago

Read 2 more answers

(7*10^x)+(7*10^y)+(7*10^z)=700070.07

Ivenika [448]

Answer:

(x,y,z)=(5,1,-2) or (5,-2,1) or (1,5,-2) or (1,-2,5) or (-2,5,1) or (-2,1,5)

Step-by-step explanation:

700070.07 = 700000 + 70 + 0.07

700000 = 7*10^5

70 =7*10^1

0.07=7*10^-2

3 0

3 years ago

Read 2 more answers