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3 years ago

Do these two in the figure appear to be similar?

Mathematics

1 answer:

iVinArrow [24]3 years ago

4 0

Hello,

Please, see the attached file.

Thanks.

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Find the next number in the following sequences

spin [16.1K]

Not sure about the others but
b) 8,192
the pattern is multiplying by 8 each time for b

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2 years ago

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For every 144 light bulbs produced, 6 are defective. Find the number of defective light bulbs that could be expected out of 720.

Lelu [443]

You are going to get the rate of the detects.
6 detects ÷ 114 light bulbs = 1/19 detects per light bulb

If there are 720 light bulbs, then the number of detects will be
720 light bulbs * 1/19 detects per light bulb = 37. 89 ≈ 38 detects

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3 years ago

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Simplify : 4y^2+12y-40\y^2+2y-8

PSYCHO15rus [73]

2(2y^4 + 7y^3 - 4y^2 -20)
___________________
Y^2

4y^2 - 40/y^2 + 14y - 8

2(-2y^4 - 7y^3 + 4y^2 + 20)
_ _____________________
Y^2

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3 years ago

A right circular cone is undergoing a transformation in such a way that the radius of the cone is increasing at a rate of 1/2 in

Ivenika [448]

Answer:

The volume is decreasing at the rate of 1.396 cubic inches per minute

Step-by-step explanation:

Given

Shape: Cone

$\frac{dr}{dt} =\frac{1}{2}$ --- rate of the radius

$\frac{dh}{dt} =-\frac{1}{3}$ --- rate of the height

$r = 2$

$h = \frac{1}{3}$

Required

Determine the rate of change of the cone volume

The volume of a cone is:

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

Differentiate with respect to time (t)

$\frac{dV}{dt} = \frac{\pi}{3}(2rh \frac{dr}{dt} + r^2 \frac{dh}{dt})$

Substitute values for the known variables

$\frac{dV}{dt} = \frac{\pi}{3}(2*2*\frac{1}{3}* \frac{1}{2} - 2^2 *\frac{1}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}* \frac{1}{2} - \frac{4}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}(\frac{1}{2} - 1))$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}*- 1)$

$\frac{dV}{dt} = -\frac{\pi}{3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{7*3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{21}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{88}{63}$

$\frac{dV}{dt} =-1.396in^3/min$

The volume is decreasing at the rate of 1.396 cubic inches per minute

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3 years ago

Write the number in two orher forms 314,207

asambeis [7]

Word Form: Three hundred fourteen thousand two hundred seven

Expanded Form: 300,000 + 10,000 + 4,000 + 200 + 7

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3 years ago

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