Earth is approximately 1.5x10^8 km from the sun. how many minutes does it take to travel from the sun to the earth? the speed of light is 3x10^8 m/sec
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Related Questions
Is 290.45 higher than 2867.5
2| x - 3 | > 8, 2| x - 3 | < -8 Sovle the inequality involving absolute value? I don't understand how to get the right answer
74 students were chosen from a local university to participate in a study. Every student attending the university had an equal possibility of being chosen. Which sampling method was used? voluntary response random selection census sample
If matrix A is added to matrix B and the result is matrix C, what is the result if matrix B is added to matrix A?
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Answer:
33.3%
Step-by-step explanation:
Defining:
A: a student plays football
B: a student plays baseball
Data:
P(A∩B): a student plays football and baseball = 0.06
P(A) = 0.18
The probability that a student plays baseball given that he plays football is calculated as follows:
P(B/A) = P(A∩B)/P(A) = 0.06/0.18 = 0.33
Answer: answer above is correct. I just did my final and it was correct
Step-by-step explanation:
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4√3*10√3=40*3=120
-7x +2 for x = -7
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Answer:
51
Step-by-step explanation:
If x=-7, all we need is to substitute x for -7
-7x+2
-7×-7+2
-7×-7 is 49 because 7 times 7 is 49 and a negative times a negative is a positive.
Which leaves us 49+2
51.
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It can only be assumed that it's compounded once a year and it is invested for 4 years.
Therefore, using the equation:
P(1+r/n)^nt
We have 70(1 + .12/1)^(1)4
simplify for your answer:
70(1.12)^4
110.1464
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with the information that from 10,000 barrels of crude oil, 6,500 barrels of refined oil are produced, it immediately pops out that from x amount of crude oil, 65% will be refined.
now we need to find what is 65% of 3,500
to find x, we multiply 65 × 3,500 and that amounts to 227,500
that then is divided by 100 so 227,500 ÷ 100 = 2,275
1 barrel of crude oil will produce 6500÷10000 barrels of gasoline
3500 barrels of crude oil will produce 6500 × 3500 ÷10000 barrels
= 3500 barrels of crude oil produce 2275 barrels of gasoline
b. Use your variables to determine expressions for the volume, surface area, and cost of the can.
c. Determine the total cost function as a function of a single variable. What is the domain on which you should consider this function?
d. Find the absolute minimum cost and the dimensions that produce this value.
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Answer:
a) file annex
b) V(c) = π*x²*y
A(x) = 2*π*x² + 32/x
C(x) = 0,1695*x² + 0,48 /x
Domain C(x) = {x/ x >0}
d) C(min) = 0,64 $
x = 1.123 in radius of base
y = 4,04 in height of the can
Step-by-step explanation:
See annex file
Lets:
call x = radius of the base of the cylinder and
y = the height of the cylinder
Then
Volume of the cylinder ⇒ V(c) = π*r²*h ⇒V(c) = π*x²*y
And y = V / ( π*x²) ⇒ V = 16 / ( π*x²)
Area of cylinder = lids area + lateral area
lids area = 2*π*x² ⇒ lateral area = 2*π*x*y
lateral area =2*π*x [16/(π*x²) ] ⇒ lateral area = 32/x
Then
A(x) = 2*π*x² + 32/x
Function cost C(x)
C(x) = 0.027 * 2*π*x² + 0.015 * (32/x)
C(x) = 0,1695*x² + 0,48 /x
Domain C(x) = {x/ x >0}
Now function cost:
C(x) = 0,1695*x² + 0,48 /x
Taking derivative:
C´(x) = 2*0,1695*x - 0.48/x² C´(x) = 0,339*x - 0.48/x²
C´(x) = 0 0.339*x³ - 0.48 = 0 x³ = 0.48/0.339 x³ = 1.42
x = 1.123 in
y = 16/πx² ⇒ y = 4,04 in
C(min) = 0,64 $