<span>A and C, because prime numbers are numbers that can be divided evenly only by 1 and itself. 2, 5, 7, 13 are prime numbers.</span>
Answer:
12.29minutes
Step-by-step explanation:
The net flow rate = flow in - flow out = F(t) - E(t) = t+6/1+t - ln(t+2)/t+1 = [(t + 6) - ln(t+2)]/(t+1)
So, the amount of water present in the tank at time, t is A = net flow rate × time = [(t + 6) - ln(t+2)]/(t+1) × t = t[(t + 6) - ln(t+2)]/(t+1)
At t = 10 minutes,
A = t[(t + 6) - ln(t+2)]/(t+1)
A = 10[(10 + 6) - ln(10+2)]/(10+1)
A = 10[16 - ln12]/11
A = 10[16 - 2.485]/11
A = 10[13.515]/11
A = 135.15/11
A = 12.29 minutes
Answer:
Step-by-step explanation:
1. Approach
The surface area of a three-dimensional figure is the two-dimensional space around the figure. Simply put, if one was going to wrap the figure up in paper, the surface area is the amount of paper one would need to wrap the entirety of the figure. One can find the surface area of a figure by finding the area of each individual facet of the figure and then adding up the areas.
2. Finding the area of the triangular faces
The formula to find the area of a triangle is the following:
Where (b) is the base of the figure, and (h) is the figure's height. Since there is only one type of triangular face, one only has to find the area of one triangular face and then multiply its measurement by four.
<u>Triangle 1</u>
3. Finding the area of the quadrilateral
The following formula can be used to find the area of a quadrilateral:
Substitute the dimensions of the quadrilateral in and solve for its area:
4. Find the total surface area of the figure
To find the total surface area of the figure, add up all of the area values of its faces. Remember the area of the triangular face is multiplied by four because there are four triangular faces.
So first, write out the multiples of 15 that are less than 100
15
30
45
60
75
90
Now add up the digits and see which ones add up to 12
7+5 =12 so the answer is 75
Answer:
fiction books = 4
non fiction books = 8
non fiction books are twice fiction books.
Step-by-step explanation:
let number of fiction books be X so
non fiction books will be 12-X
12X + 25(12-X) = 248
12X -25X = -53
X = 4( fiction books)
12-4 = 8 (non fiction)