Answer:
Step-by-step explanation:
Given the volume of the cylindrical soup expressed as V = πr³+ 7πr²
From V = πr³ + 7πr²;
factor out the common variable
V = πr³ + 7πr²
V = πr²(r+7) ... 1
The original volume of a cylinder V = πr²h .... 2 where;
r is the radius of the cylinder
h is the height of the cylinder
Equating equation 1 and 2, we will have;
πr²(r+7) = πr²h
Divide both sides by πr²
πr²(r+7)/ πr² = πr²h/ πr²
r+7 = h
h = r+7
<em>Hence the factor in the context given is equivalent to the height of the cylinder written as a function of its radius r</em>.<em> The statement means that the height of the cylindrical soup is 7 more than its radius.</em>
<em></em>
V=(7*6)/2 *8 the third option
you multiply the height with the base of the triangle and you get the area of the base of the prism so you multiply it with the height of the prism to get the volume
(I'll assume that the blank spaces are PLUS signs ( + ),
as they usually are on Brainly.)
The mystery complex number is (5 - i) .
(3 + 2i) x (5 - i) = (17 + 7i)
FOIL it out and you'll see it.
Answer:
k = 10
Step-by-step explanation:
Difference means subtract.
2k - 8 = 12
is how that statement is translated.
Add 8 to both sides.
2k - 8 + 8 = 12 + 8
2k = 20
Divide by 2
2k/2 = 20/2
k = 10
Answer:
P earned $ 718.85.
Step-by-step explanation:
Given that P borrowed $ 16000 from a person at 12% per annum simple interest and lent the whole amount to Q at the same rate of annually compound interest, to determine how much did he gain after 3 years the following calculation must be performed:
16,000 x 0.12 x 3 = X
1,920 x 3 = X
5,760 = X
16,000 x (1 + 0.12 / 1) ^ 3 = X
16,000 x 1.12 ^ 3 = X
16,000 x 1.404928 = X
22,478.85 = X
22,478.85 - 16,000 = 6,478.85
6,478.85 - 5,760 = X
718.85 = X
Therefore, P earned $ 718.85.
