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4 years ago

Select all the statements that can be used as steps to solve the equation 6[4(2x−1)]=80−8 .

Mathematics

1 answer:

Virty [35]4 years ago

3 0

<span>The only statement that I can found in that problem is
-Subtract 8 from 80.
</span>

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The radius of the base of a cylinder is increasing at a rate of 7 millimeters per hour. The height of the cylinder is fixed at 1

Ilya [14]

Answer:

The rate of change of the volume of the cylinder at that instant = $791.28\ mm^3/hr$

Step-by-step explanation:

Given:

Rate of increase of base of radius of base of cylinder = 7 mm/hr

Height of cylinder = 1.5 mm

Radius at a certain instant = 12 mm

To find rate of change of volume of cylinder at that instant.

Solution:

Let $r$ represent radius of base of cylinder at any instant.

Rate of increase of base of radius of base of cylinder can be given as:

$\frac{dr}{dt}=7\ mm/hr$

Volume of cylinder is given by:

$V=\pi\ r^2h$

Finding derivative of the Volume with respect to time.

$\frac{dV}{dt}=\pi\ h\ 2r\frac{dr}{dt}$

Plugging in the values given:

$\frac{dV}{dt}=\pi\ (1.5)\ 2(12)(7)$

$\frac{dV}{dt}=252\pi$

Using $\pi=3.14$

$\frac{dV}{dt}=252(3.14)$

$\frac{dV}{dt}=791.28\ mm^3/hr$ (Answer)

Thus rate of change of the volume of the cylinder at that instant = $791.28\ mm^3/hr$

6 0

3 years ago

The first two rituals to appear in christianity

Wewaii [24]

Answer:Depending on the specific denomination of Christianity, practices may include baptism, Eucharist (Holy Communion or the Lord's Supper), prayer (including the Lord's Prayer), confession, confirmation, burial rites, marriage rites and the religious education of children

Step-by-step explanation:please mark as brainliest

7 0

3 years ago

What expression converts 100 inches per minute to feet per minute?

ehidna [41]

1 foot= 12 inches.

To convert you must have "2 fractions" to multiply.

Your first fraction must be 100in/1min. (100 inches per 1 minute).

The second should serve to convert inches to feet. It should be 1 foot/ 12 inches. (1 foot per 12 inches).

Your product should be 100ft/12 which equals 8.3 repeating or 25/3 (8 1/3) feet.