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2 years ago

5

Factor completely:

2} +15x-5" align="absmiddle" class="latex-formula">

1 answer:

Agata [3.3K]2 years ago

6 0

5(2x^2 + 3x -1)

Hope this helped :)

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Sue bought 3- 12 packs of Coke at the store for $11.00. Dan bought 1- 24 pack of Coke at a different store for $7.99. Sue though

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3 years ago

Decrease £645 by 69%<br> Give your answer rounded to 2 DP.

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Answer:

£199.95

Step-by-step explanation:

100% - 69% = 31%

31% of £645

= 31/100 × £645

= 0.31 × £645

= £199.95

= £199.95 is the final answer as it cannot be rounded off to 2 DP.

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3 years ago

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2 years ago

Consider that x = 5 and y = 7. Which statement is true about x + y? A) The sum of x and y is a rational number. B) The sum of x

gayaneshka [121]

Answer:

The sum of x and y is a rational number

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5 0

2 years ago

Read 2 more answers

A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op

Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, $\dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h$

Volume of cone is given by

$V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3$

By differentiating with respect to time t, we get that

$\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}$

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie $\dfrac{dv}{dt}=-4\ in^3$

and h = 2 inches deep.

$-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}$

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0

2 years ago