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3 years ago

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Mathematics

1 answer:

snow_tiger [21]3 years ago

7 0

If you are looking for the total it is 81.839

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Kim has 68 spoons, there are 8 boxes of spoons, how many spoons go into each box?

dlinn [17]

8 in each of the first four boxes and 9 in each of the second four boxes

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3 years ago

!Help!

mafiozo [28]

Answer:

How much will you save if you take the better deal?

Antole Store discount: $ 45.96 x 20% = $ 9.99

Sergei Store Discount: $ 46.75 x 25% = $ 11.69

If you buy at a Sergei store, you get a discount on your payout compared to an Antole store of $ 1.7

Step-by-step explanation:

7 0

3 years ago

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra

bearhunter [10]

Answer:

$\frac{dh}{dt}=-\frac{1}{2\pi}cm/min$

Step-by-step explanation:

From similar triangles, see diagram in attachment

$\frac{r}{4}=\frac{h}{16}$

We solve for $r$ to obtain,

$r=\frac{h}{4}$

The formula for calculating the volume of a cone is

$V=\frac{1}{3}\pi r^2h$

We substitute the value of $r=\frac{h}{4}$ to obtain,

$V=\frac{1}{3}\pi (\frac{h}{4})^2h$

This implies that,

$V=\frac{1}{48}\pi h^3$

We now differentiate both sides with respect to $t$ to get,

$\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}$

We were given that water is drained out of the tank at a rate of $2cm^3/min$

This implies that $\frac{dV}{dt}=-2cm^3/min$ .

Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means $h=8cm$ .

We substitute this values to obtain,

$-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}$

$\Rightarrow -2=4\pi \frac{dh}{dt}$

$\Rightarrow -1=2\pi \frac{dh}{dt}$

$\frac{dh}{dt}=-\frac{1}{2\pi}$

3 0

3 years ago

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Simplify the expression. 25^1/2 + 81^1/4

Vanyuwa [196]

Answer:

32.75

Step-by-step explanation:

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3 years ago

How far will a cheetah run if it travels 24 ft/sec for 18 seconds? a

alekssr [168]

Answer:

24×18 432 ft (hope this helps)

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2 years ago

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