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oksano4ka [1.4K]

3 years ago

14

3e^0.5x=45 solve for x

1 answer:

Ivanshal [37]3 years ago

7 0

Answer:

18

Step-by-step explanation:

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What is 5/8 divided by 5/12?

stiks02 [169]

$\frac{5}{8} \div \frac{5}{12} \\\\Switch\ to\ muliplication\ and\ find\ reciprocal\ of\ second\ fraction.\\\\ \frac{5}{8}\times \frac{12}{5} \\\\Multiply\ Across.\\\\5\times12=60\\8\times5=40\\\\ \frac{60}{40} \\\\Simplify\\\\ \frac{60}{40} \div20= \frac{3}{2} =1 \frac{1}{2}\ or\ 1.5$

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3 years ago

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Enter the equation of the line in the form y=mx+b where m is the slope and b is the y-intercept.

rusak2 [61]

y=1.5x-2

Hope this helps

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3 years ago

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Elza [17]

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Step-by-step explanation:

5 0

3 years ago

The volume of a cone of radius r and height h is given by V=πr²h³. If the radius and the height both increase at a constant rate

Aloiza [94]

Answer:

The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}$

Volume of cone =

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

where r is the radius and h is the height of the cone.

Instant height = 9 cm

Instant radius = 6 cm

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})$

Putting values, we get,

$\dfrac{dV}{dt} = \dfrac{\pi}{3}(2(6)(12)(9) + (6)^2(12))\\\\\dfrac{dV}{dt} =1808.64\text{ cubic cm per second}$

Thus, the volume of cone is increasing at a rate 1808.64 cubic cm per second.

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3 years ago

Linda contructs a triangle with one side 5 inches long and another side 7 inches long.Which is NOT a possible legth for the thir

ladessa [460]

D) 12 would NOT be a possible length for the third side because the sum of the 2 shorter legs should be greater than the longest leg.

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3 years ago