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3 years ago

Math. You get 10 points

Mathematics

2 answers:

Mashcka [7]3 years ago

5 0

Answer:

i think 55

Step-by-step explanation:

Klio2033 [76]3 years ago

4 0

Answer:

Step-by-step explanation:

This answer makes the most sense because line l has the value 55.

Hope it helps!

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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

44 prime factorization

il63 [147K]

Answer:

2 * 2 * 11

Step-by-step explanation:

Find the set of prime numbers that, when multiplied together, give 44.

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3 years ago

Choose the correct slope and y-intercept of the line indicated by this linear equation.

stellarik [79]

The correct answer is m=-2 (slope) and b=4 (y-intercept).

8 0

3 years ago

Dakota makes a salad dressing by combining 6 1/3 fluid ounces of oil and 2 3/8 fluid ounces of vinegar in a jar. She then pours

-Dominant- [34]

6 1/3 +2 3/8 = 17/24 so you have to subtract it from the 2 1/4 fluid to know the amount of dressing remaining and your answer should be negative which is -37/24.

6 0

3 years ago

Trying to solve a polynomial with brackets Problem: 5b-3[2(3-b)-5(3b-5]

Strike441 [17]

Answer:

Answer:00

If any individual factor on the left side of the equation is equal to 00, the entire expression will be equal to 00.

b=0b=0

3b−5=03b-5=0

Set the first factor equal to 00.

b=0b=0

Step-by-step explanation:

The result can be shown in multiple forms.

Exact Form:

b=0,53b=0,53

Decimal Form:

b=0,1.¯6b=0,1.6‾

Mixed Number Form:

b=0,123b=0,123

#Brainly

5 0

3 years ago