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krok68 [10]
3 years ago
12

Sin(x)-tan(x)cos(x)+cos(π/2-x)

Mathematics
1 answer:
Gala2k [10]3 years ago
7 0

Answer:

sin(x)

Step-by-step explanation:


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In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per
Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, P_0=450,000

Growth rate is, r=5\%=0.05

Final population is, P=700,000

A population growth is an exponential growth and is modeled by the following function:

P=P_0(1+r)^x

Taking log on both sides, we get:

\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}

Plug in all the given values and solve for 'x'.

x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10

So, for x > 9.13, the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

8 0
2 years ago
if the domain of a coordinate transformation that is reflected over the y-axis is (-1,3),(2,1),(5,-1)and(-1,-2) what is the rang
AURORKA [14]

Answer:

Range remains the same.

Step-by-step explanation:

(1,3),(-2,1),(-5,-1) and (1,-2)

7 0
3 years ago
Read 2 more answers
What is the volume of this square pyramid? Enter your answer in the box.
musickatia [10]
Answer:400. 10^2 x 12/3 = 400.
6 0
3 years ago
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Which of the following sets represents a function?
Mariulka [41]
<span>{(1, 2), (3, 2), (5, 7)} is a function

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7 0
3 years ago
I forgot how to divide fractions properly. please send help.
Mamont248 [21]

Answer:

2.5 or 10/4

Step-by-step explanation:

2÷4/5  

Integers can be fractions. Which are just the summation of equal parts. So integers can be written in any fractional form as you like,

2/1÷4/5

But turning your fraction into an integer is not enough to divide, you must first use the reciprocal form of your dividend. and then you multiply to obtain your answer. (The reason is that division is multiplication of the reciprocal)

2/1×5/4

And tadaa! you get your answer

10/4

You can also simplify it!

5/2

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3 years ago
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