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2 years ago

The answer to this problem

Mathematics

2 answers:

worty [1.4K]2 years ago

7 0

Answer:

Check pdf

Step-by-step explanation:

Download pdf

Lana71 [14]2 years ago

5 0

Answer:

p ≥ − 9

Step-by-step explanation:

what is the 11.2???

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What is the quotient of 1+i/ 3+4i

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Answer: 7/25-1/25i

Step-by-step explanation:

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2 years ago

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Find the area of the shaded region. Round to the nearest tenth.

drek231 [11]

pi·18.6^2·123°/360° - 1/2·18.6^2·SIN(123°) = 226.3

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2 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

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

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2 years ago

I need help in area it's hard

Fofino [41]

The area is the length times the width. Find area of shapes by counting unit squares. Some shapes will require combining partial square units to find area.

For example - A rectangle is 5 centimeters long and 4 centimeters wide. What is its area? 

Area = Length * width

The length is 5 centimeters. The width is 4 centimeters. So the area is 5 times 4 square centimeters.

= 20 square centimeters

4 0

2 years ago

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.

Verdich [7]

the first option is the answer

Step-by-step explanation:

4c + 6a <= 120 [building hours]

4c + 4a <= 100 [testing hours]

4 * 20 + 6 * 6 <= 120

80 + 36 <= 120

116 <= 120

true, they have enough building hours

4 * 20 + 4 * 6 <= 100

80 + 24 <= 100

104 <= 100

false, they won't have enough testing hours

the first option is the answer

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2 years ago