6 - 34 + 96 - 384 +...
a 1 = 6 , a 2 = a 1 * ( - 4 ) , a 3 = a 2 * ( - 4 ), a 4 = a 3 * ( - 4)...
a 5 = - 384 * ( - 4 ) = 1,536
a 6 = 1536 * ( - 4 ) = - 6,144
a 7 = - 6,144 * ( - 4 ) = 24,576
This is a sum of a geometric sequence:
S 7 = 6 - 24 + 96 - 384 + 1,536 - 6,144 + 24,576 = 19,662
Another way to solve this:
S 7 = a 1 * ( r^n - 1) / ( r - 1 ) = 6 * (( - 4) ^7 - 1 )/ (- 4 - 1)=
= 6 * (-16,385) / (-5 ) = 19,662
Cotangent is one over tangent
1/(4/7)
Answer 7/4
To find the area of the cylinder we need to find its volume first. Remember that the formula for the volume of a cylinder is

where:

is the volume

is the radius

is the height
From the question we know that

and

. Lets replace those values in our volume formula:

Now we can solve for

to find our radius:




Now that we know the radius, we can use the formula for the area of a cylinder

where:

is the area

is the radius

is the height
We know now that

and

, so lets replace those values in our area formula:



We can conclude that the area of a cylinder that has a volume of 175 cubic units and a height of 7 units is
174.07 square units.
Answer:

Step-by-step explanation:
Five is <em>one-eighth</em> of forty, so relatively proportional to that, <em>one-eighth</em> of twenty-four is three, so you do this:
24 = 2x + 10
- 10 - 10
__________

I am joyous to assist you anytime.
Answer:
B
Step-by-step explanation: