Answer:
$9.57
Step-by-step explanation:
You have to do 4.35 divided by 5 to get how much 1 can cost. You will find out that 1 can cost $0.87. Next you will take how much one cost and mutiply it by 11. When you do that you will get 9.57. That is how you will get $9.57 as your answer.
Answer:
∫▒〖arctan(x).1 dx=arctan(x).x〗-1/2 ln(1+x^2 )+C
Step-by-step explanation:
∫▒〖1st .2nd dx=1st∫▒〖2nd dx〗-∫▒〖(derivative of 1st) dx∫▒〖2nd dx〗〗〗
Let 1st=arctan(x)
And 2nd=1
∫▒〖arctan(x).1 dx=arctan(x) ∫▒〖1 dx〗-∫▒〖(derivative of arctan(x))dx∫▒〖1 dx〗〗〗
As we know that
derivative of arctan(x)=1/(1+x^2 )
∫▒〖1 dx〗=x
So
∫▒〖arctan(x).1 dx=arctan(x).x〗-∫▒〖(1/(1+x^2 ))dx.x〗…………Eq1
Let’s solve ∫▒(1/(1+x^2 ))dx by substitution now
Let 1+x^2=u
du=2xdx
Multiply and divide ∫▒〖(1/(1+x^2 ))dx.x〗 by 2 we get
1/2 ∫▒〖(2/(1+x^2 ))dx.x〗=1/2 ∫▒(2xdx/u)
1/2 ∫▒(2xdx/u) =1/2 ∫▒(du/u)
1/2 ∫▒(2xdx/u) =1/2 ln(u)+C
1/2 ∫▒(2xdx/u) =1/2 ln(1+x^2 )+C
Putting values in Eq1 we get
∫▒〖arctan(x).1 dx=arctan(x).x〗-1/2 ln(1+x^2 )+C (required soultion)
Answer:
Step-by-step explanation:
pythagoras theorem
a^2+b^2=c^2
8^2+x^2=10^2
64+x^2=100
x^2=100-64
x=
x=6 km
So to start off here is the question being asked:
<span>81+<span>7x</span></span>=<span>81
</span>The first thing we are going to do is s<span>implify both sides of the equation:
</span><span><span>7x</span>+81</span>=<span>81
</span>Second thing to do is s<span>ubtract 81 from both sides so:
</span><span><span><span>7x</span>+81</span>−81</span>=<span>81−<span>81
</span></span>The final thing to do is d<span>ivide both sides by 7:
</span><span><span>7x/</span>7</span>=<span>0/<span>7
The final answer is:
x=0
I hope this helps! :)</span></span>
The number of people in the sample survey is 75.
Survey sampling, as used in statistics, is the process of choosing a sample of constituents from a target population to perform a survey. The word "survey" can be used to describe a wide range of observational methods or procedures. Most frequently, a questionnaire meant to assess people's traits and/or opinions is employed in survey sampling. The topic of survey data collecting involves various methods of contacting sample participants after they have been chosen. Sampling is done to cut down on the expense and/or labor required to survey the complete target population. A census is a survey that includes all members of the target population. A sample is a subset or segment of a population from which data will be drawn.
The sample survey has
5 people in 1-4 miles per week
10 people in 5-8 miles per week
15 people in 9-12 miles per week
20 people in 13-15 miles per week
25 people in 16-19 miles per week
The number of people in the sample survey is
5 + 10 + 15 + 20 + 25
=5(1 + 2 + 3 + 4 + 5)
=5(15)
=75
Hence, the number of people in the sample survey is 75.
Learn more about sampling survey here-
brainly.com/question/24564273
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