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2 years ago

Solve b 3b / 7-1 = 5

Mathematics

1 answer:

ruslelena [56]2 years ago

7 0

Answer:

b= 2 over 7

Step-by-step explanation:

exact form b= 2 over 7

decimal form b= 0.285714

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2 years ago

Which integer is closest to 0 on the number line?

marishachu [46]

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2 years ago

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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

A cone has a diameter of 18 in. and a height of 14 in.

Bond [772]

Cone's volume is $V = \frac{1}{3}Sh$
where S - surface area, h - height
Surface area = $\pi r^2$

r = 18/2=9
h= 14
π = 3.14
$V= \frac{1}{3} \pi r^2h= \frac{1}{3} *3.14*9^2*14= \frac{1}{3} *3.14*81*14=27*14*3.14$ [/tex]
$V = 1186.92$ $in.^3$

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2 years ago

Y-125 = O A. -15 O B. -25 O c. -5 C. O D. 5 or -5

timurjin [86]

Answer:

-5

Step-by-step explanation:

Cube root of -125 has to be -5

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2 years ago