2 years ago

Help please!!

Mathematics

1 answer:

Luden [163]2 years ago

5 0

Answer:

7.5 km ggggggggggg ghhk

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Z varies directly as x and y, z = 6 when x=2 and y = 6. Find the value of z when x = 3 and y = 8

Monica [59]

Answer:

Step-by-step explanation:

This is a joint variation problem:

z varies directly as x and y

Interpreting this;

z ∝ xy

Therefore;

z = kxy

z = 6, x = 2, y = 6

Now find k,

6 = 2 x 6 x k

6 = 12k

k = $\frac{1}{2}$

To find the value of z;

x = 3, y = 8

z = $\frac{1}{2}$ x 3 x 8 = 12

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2 years ago

webassign If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at which the diameter dec

drek231 [11]

Answer:

The answer is $\frac{3}{10\pi } cm/min$

Step-by-step explanation:

Assuming the snowball is a perfect sphere, then if A denotes the surface area and D the diameter then:

$A=4\pi r^{2} = 4\pi (\frac{D}{2} )^{2} =\pi D^{2}$

Differentiating wrt r we have:

$\frac{dA}{dD} =2\pi D$

We are told that $\frac{dA}{dt}= -6$ and we want to find $\frac{dD}{dt}$

By the chain rule we have:

$\frac{dA}{dD}=\frac{dA}{dt}.\frac{dt}{dD}=\frac{\frac{dA}{dt} }{\frac{dD}{dt} }$

∴ $2\pi D=-\frac{6}{\frac{dD}{dt} }$

∴ $\frac{dD}{dt}=-\frac{6}{2\pi D}$

When D=10 then

$\frac{dD}{dt} =-\frac{6}{10*2\pi } =-\frac{3}{10\pi }$

The sign (-) shows that the D is decreasing.

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2 years ago

20 ounces at $7 17 ounces at x dollars

tangare [24]

Make a proportion:
$\frac{20}{7} = \frac{17}{x}$
Then cross multiply and divide to solve.

20x=119

x=5.95

The answer is $5.95

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2 years ago

In the equation y = 2(x + 5), if x is increased by 3, then y is increased by

Zielflug [23.3K]

Y is increased by 6 because if you imagine x being 3 then y would = 16 but if you increase x by 3 making 6 then y would = 22 and 16 increased by 6 is 22

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3 years ago

Round what does 168 356 to the nearest ten thousand

Vesna [10]

168,356. the ten thousand is the 6. To find the estimate, the one would stay there and the six would become a seven because the eight eight before the six is above five. All in all, the answer is 170.000

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2 years ago

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