Answer:
B. -1/8
Step-by-step explanation:
Using the terms given in the sequence:
4, -2, 1, -1/2, 1/4
we can find the pattern by dividing since it is a geometric seqence:
-2/4 = -1/2
1/-2 = -1/2
-1/2 ÷ 1 = -1/2
So, each term is multiplied by -1/2 to get the next term in the sequence:

A kilogram is 1000 grams, so 88.9 x 1000 = 88,900 grams.
S=4π<span>r<span>2 - this is the equation for the surface area of a sphere. We know that the radius (r) is 3.5 so here's how to solve this:
S = 4</span></span><span>π r2
S = 4</span><span>π (3.5)2
S = 4</span><span>π 12.25
S = 49</span><span>π
The surface area of a sphere with radius of 3.5 is 49</span><span>π.</span>
Answer:
x = -2
Step-by-step explanation:
Step 1: Define
f(x) = -x - 5
f(x) = -3
Step 2: Substitute and Evaluate
-3 = -x - 5
2 = -x
x = -2
Answer:
Side length =
cm , Height =
cm , Volume =
cm³
Step-by-step explanation:
Assume
Side length of base = x
Height of box = y
total material required to construct box = A ( given in question)
So it can be written as
A = x² + 4xy
4xy = A - x²

Volume of box = Area x height
V = x² ₓ y
V = x² ₓ (
)
V = 
To find max volume put V' = 0
So taking derivative equation becomes

A = 3 
= 
x = 
put value of x in equation 1
y =
y = 
y = 
So the volume will be
V =
× y
Put values of x and y from equation 2 & 3
V = 
V = 