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iren [92.7K]
3 years ago
13

PLEASE AND THANK YOU CONFUSED ON THIS

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
5 0

After staring at this for a few seconds, I think the equation

-5\sqrt{10}\cdot\sqrt{15}=[1]\sqrt{[2]}

is asking you to simplify the left hand side so that it has a form matching the right hand side, and [1] and [2] are placeholders. My guess is that they're supposed to be integers.

Notice that

\sqrt{10}=\sqrt{5\cdot2}=\sqrt5\cdot\sqrt2

\sqrt{15}=\sqrt{5\cdot3}=\sqrt5\cdot\sqrt3

\implies\sqrt{10}\cdot\sqrt{15}=(\sqrt5)^2\cdot\sqrt2\cdot\sqrt3=5\sqrt{2\cdot3}=5\sqrt6

Then multiplying by -5, we have

-5\sqrt{10}\cdot\sqrt{15}=-25\sqrt6

so I believe [1] = -25, and [2] = 6.

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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
3 years ago
2 rational numbers who’s difference is rational
horrorfan [7]

Answer: (5+√2) and (3+√2)

Step-by-step explanation: Let (5+√2) and (3+√2) be  two irrational numbers

                                             Difference = (5+√2) - (3+√2)

                                             Difference = 2

                                             2 is a rational number

6 0
3 years ago
A bowl weighs 11/40<br> lb. Express this as a decimal.
Ivanshal [37]

Answer:

Decimal: 0.275           Percentage: 27.5

Step-by-step explanation:

4 0
3 years ago
Find the volume of a cylinder with a diameter of 16 mm and a height of 5.7 mm
Mademuasel [1]
The volume formula for a cylinder is :
V= (pi)(r^2)(h)
So r= d/2 where d = 16mm so r= 8mm h is given as equaling 5.7mm
Now just plug it into the formula.
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3 0
3 years ago
Assume a binomial probability distribution with n=55 and π=0.34 . Compute the following: (Round all your z values to 2 decimal p
Aleks04 [339]

Answer: 0.8588

Step-by-step explanation:

Assume a binomial probability distribution with n = 40 and (symbol looks like a pie sign) = 0.55.  

Compute the following: (Round the value for standard deviation and intermediate calculations to 2 decimal places and your final answer to 4 decimal places.)  

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mean = np = 40*0.55 = 22

std = sqrt(npq) = sqrt(22*0.45) = 3.1464

--------------------------------------------------  

The probability that X is 25 or greater.

P(25<= x <= 40) = 1 - binomcdf(40,0.55,24) = 0.2142

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The probability that X is between 15 and 25, inclusive.

P(15<= x <=25) = binomcdf(40,0.55,25)-binomcdf(40,0.55,14) = 0.8588

7 0
4 years ago
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