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2 years ago

Is it 3/20 or 15, not sure?? it said simplest form let me know please, only correct answers.

Mathematics

2 answers:

aksik [14]2 years ago

8 0

Answer:

3/20 it's looking for fractions

Reptile [31]2 years ago

8 0

Answer:

15 or 15/1

Step-by-step explanation:

imagine there is a 1 under -6:

$- \frac{5}{2} \times - \frac{ 6}{1}$

multiply the numerator together:

-5 × -6 = 30

multiply the denominator together:

2 × 1 = 2

so the fraction is

$\frac{30}{2}$ = 15/1

so, 15/1 is equal to 15

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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

What is 817.502 rounded to the nearest whole number?

kotegsom [21]

If a number has a decimal that is .5+, you round up. If it is .4-, you round down. So 817.502 would be 818.

3 0

3 years ago

Read 2 more answers

What is [2times6]-7+92+45<br> divided by 5

Vesna [10]

$\frac{(2 \times 6) - 7 + 92 + 45 }{5} = \frac{12 - 7 + 92 + 45}{4} = \frac{142}{5} = 28.4$

Hope that helps :)

7 0

3 years ago

So a department store worker gets paid 325.00 per week plus 4% commission of their total sales if the worker sells 3600 of the m

MAXImum [283]

Answer:The amount of commission made is 144

Step-by-step explanation:

The department store worker gets paid 325.00 per week plus 4% commission of their total sales. This means that the worker's earning is not fixed. It varies with the amount of sales made

if the worker sells 3600 of the merchandise, it means that the worker's sales commission will be 4% of 3600 of the merchandise

Sales commission earned by the store worker = 4/100 × 3600

= 0.04 × 3600 = 144

6 0

3 years ago

25. Several functions represent different savings account plans. Which functions are linear?

Mice21 [21]

Answer:

b, c, d

Step-by-step explanation:

y=kx+b

y=kx

so y=5,25x-right

y=0,5x-right

y=2,5x+7-right

8 0

3 years ago