Answer:
<h3>dn = -7^n-1</h3>
Step-by-step explanation:
Given the sequence -1,-7,-49,-343,....
We are to find the nth term of the sequence
dn = ar^n-1
a is the first term = -1
r is the common ration = -7/-1 = -49/-7 = 7
n is the number of terms
Substitute
dn = -1(7)^n-1
dn = -7^n-1
hence the nth term of the sequence is dn = -7^n-1
Answer:
A. 
Step-by-step explanation:
The formula for the volume of a cylinder is the formula for the area of the circle, times the height of the cylinder. The formula for the volume of a circle is,
Multiply that by the height to find the formula for the volume of a cylinder,
Where (pi) represents the value (3.1415), (r) represents the radius, and (h) represents the height of the cylinder. Now substitute in the given values, remember, this problem gives the diameter of the cylinder, divide that value by two to find the radius.
D. 1mm/10cm is the correct answer choice.
Split 33 into two numbers that when added up are 33.
So 12 to 21, which when divided by 3, are 4 to 7.
Brother one: x
Brother two: x + 15
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Make them add up to 55 in an equation.
x + (x + 15) = 55
Combine like terms.
2x + 15 = 55
Subtract 15 from both sides.
2x = 40
Divide both sides by 2.
x = 20
Plug 20 for x into brother two.
(20) + 15 = 35
Brother one has saved $20, brother two has saved $35.
