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2 years ago

Ew Mathematics i am just filling up the space

Mathematics

1 answer:

kykrilka [37]2 years ago

7 0

Answer:

For starters for the angles to be complementary they have to be 90 degrees

and angle ECD is a 52 degree angle. Next, you would need to subtract 52 degrees from 90 degrees and get an answer of 38 degrees. Making DCF a 38 degree angle.

Step-by-step explanation:

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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

2 years ago

What is the simplified form of the following expression? 6m² + 7.2n - 4n+2m2-n

Nimfa-mama [501]

Answer:

6m² + 2.2n + 4m

Step-by-step explanation:

this the answer

3 0

2 years ago

You roll a fair number cube and flip a coin at the same time. What is the probability that you roll a 5 and flip a heads?

Vikentia [17]

Answer:

probably of a head= 1/2

probably of a multiple of 3 (either 3 or 6)= 2ways*1/6 as 1/6 is the prob of any one side

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Anaya is viewing her bank account online. She only sees 3 entries

kati45 [8]

What is the full question? This is just a statement.

4 0

3 years ago

Read 2 more answers

100 points! Please show your work :)

Daniel [21]

Answer:

7.76 minutes

Step-by-step explanation:

The +51 is regardless (being the y intercept) so it does not affect our answer. If the employee has to drive one mile (x=1) it will take 7.76 + 51 min to get there. If they have to drive 0 miles (x=0) it will only take 51 min. This is a difference of 7.76. You really just need to take the slope (I just used this example to make it make more sense) as x is the number of miles the employee has to drive, and therefore that times 7.76 would be how much longer it would take to drive to work.

5 0

2 years ago