Someone please help me

A company makes steel rods shaped like cylinders. Each rod has a diameter of 4 centimeters and a height of 60 centimeters. If th

gavmur [86]

Answer:

See below.

Step-by-step explanation:

1) Please check the number of volume of steel. It should be 54,259.2

${cm}^{3}$

. Not 54,259.2 cm. Right?

2) If so,

First

The volume of single rod

$= \pi \times ( { \frac{4}{2} })^{2} \times 60= \pi \times {2}^{2} \times 60= 4\pi \times 60= 4 \times 3.14 \times 60= 753.6 {cm}^{3}$

The number of rods

$= \frac{54259.2}{753.6} = 72$

5 0

3 years ago

The population, P(t), of China, in billions, can be approximated by1 P(t)=1.394(1.006)t, where t is the number of years since th

vitfil [10]

Answer:

At the start of 2014, the population was growing at 8.34 million people per year.

At the start of 2015, the population was growing at 8.39 million people per year.

Step-by-step explanation:

To find how fast was the population growing at the start of 2014 and at the start of 2015 we need to take the derivative of the function with respect to t.

The derivative shows by how much the function (the population, in this case) is changing when the variable you're deriving with respect to (time) increases one unit (one year).

We know that the population, P(t), of China, in billions, can be approximated by $P(t)=1.394(1.006)^t$

To find the derivative you need to:

$\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=\\\\\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'\\\\1.394\frac{d}{dt}\left(1.006^t\right)\\\\\mathrm{Apply\:the\:derivative\:exponent\:rule}:\quad \frac{d}{dx}\left(a^x\right)=a^x\ln \left(a\right)\\\\1.394\cdot \:1.006^t\ln \left(1.006\right)\\\\\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=(1.394\cdot \ln \left(1.006\right))\cdot 1.006^t$

To find the population growing at the start of 2014 we say t = 0

$P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(0)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^0\\P(0)' = 0.00833901 \:Billion/year$

To find the population growing at the start of 2015 we say t = 1

$P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(1)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^1\\P(1)' = 0.00838904 \:Billion/year$

To convert billion to million you multiple by 1000

$P(0)' = 0.00833901 \:Billion/year \cdot 1000 = 8.34 \:Million/year \\P(1)' = 0.00838904 \:Billion/year \cdot 1000 = 8.39 \:Million/year$

6 0

3 years ago

The perimeter of a square is 88 feet. What is the length of one of its sides?

goldfiish [28.3K]

Answer:

A. 22 feet

Step-by-step explanation:

22 + 22 + 22 + 22 = 88 the formula is

Length x Width X length X Width but since it is a square just divide

Hope this helps

5 0

3 years ago

The diagram shows a part of a regular 10 sided polygon<br> work out the size of the angle marked x

OverLord2011 [107]

Answer:

b

Step-by-step explanation:

b

7 0

2 years ago

I dont understand how to do the 2x part.

kodGreya [7K]

Answer:

x=6 2/3

Step-by-step explanation:

Ratio of DEF:ABC=5/3

8*5/3=13 1/3

x=6 2/3

4 0

3 years ago