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3 years ago

8..................................

Mathematics

1 answer:

ser-zykov [4K]3 years ago

5 0

Answer:

The answer is $2x^{3}y^{-2}\sqrt{6}$

Step-by-step explanation:

∵ √24 = 2√6

∵ $\sqrt{x^{6}}=(x^{\frac{1}{2}})^{6}=x^{3}$

∵ $\sqrt{y^{-4}}=(y^{\frac{1}{2}})^{-4}=y^{-2}$

∴ $\sqrt{24x^{6}y^{-4}}=2x^{3}y^{-2}\sqrt{6}$

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Julie was a lifeguard during the summer. She earned a total of $2,176. She was paid $68 per day she worked. How many days did Ju

creativ13 [48]

Answer:

Step-by-step explanation:

To answer this question, you have to divide 2,176 by 68.

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3 years ago

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CHECK ALL ANSWERS THAT APPLY*

Musya8 [376]

Answer:

We get t= 7.22 and t=0.28

The correct options are Option A and Option G

Step-by-step explanation:

The height h of toy rocket at time t seconds after launch is given by the equation $h(t) = -16t^2 + 120t + 8$

We need to find how many seconds until the rocket is 40 feet?

We are given height of rocket h(t) = 40 feet

and we need to find time t

Using the equation $h(t) = -16t^2 + 120t + 8$ we can find time t

We have h(t)=40

$h(t) = -16t^2 + 120t + 8\\Put\:h(t)=40\\40= -16t^2 + 120t + 8\\16t^2-120t-8+40=0\\16t^2-120t+32=0$

Now, we will solve the quadratic equation using quadratic formula: $t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

We have a =16, b=-120 and c=32

Putting values and finding t

$t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\frac{-(-120)\pm\sqrt{(-120)^2-4(16)(32)}}{2(16)}\\t=\frac{120\pm\sqrt{14400-2048}}{32}\\t=\frac{120\pm\sqrt{12352}}{32}\\t=\frac{120\pm111.12}{32}\\t=\frac{120+111.12}{32}, t=\frac{120-111.12}{32}\\t=7.22\:,\:t=0.28$

So, we get t= 7.22 and t=0.28

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3 years ago

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Aloiza [94]

Answer:

Step-by-step explanation:

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Thus, D is the correct choice.

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poizon [28]

The number of different topping combination illustrates combination

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<h3>The number of different combination</h3>

The given parameters are:

Extra toppings, n = 4

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The number of extra topping that Ross can select is then calculated using the following combination formula

Toppings = nCr

This gives

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Hence, Ross have 6 different topping combination to select from