The spherical container has a radius of 4ft (where ft represents feet)
Its filled with gas that costs $12 per ft³
The value of gas in the container = ?
The volume of a sphere = 4/3
r³
The volume of the container = 4/3 ×
× 4³ ft³
One cubic foot = $12
4/3 ×
× 64 = How much?
Cross multiplying gives:
4/3 ×
×64 × $12 = $3216.99 (Rounded up to nearest one cent)
Answer:

Step-by-step explanation:
Given:
Number of eclairs = 3
Number of humbugs = 
Number of mints = 
Therefore, total number of sweets in the jar is,

Now, probability of selecting a sweet to be humbug is given as:

Therefore, the probability that it is a humbug is
.
Answer:
n¹³
Step-by-step explanation:
Division and multiplication have the same priority in pemdas, so you can solve this by dividing/multiplying from left to right.
Also remember that when dividing exponents of the same base, you subtract them, and when multiplying, you add them.
n⁶· n⁵ · n⁴ ÷ n³ · n² ÷ n
= (n⁶· n⁵) · n⁴ ÷ n³ · n² ÷ n
= (n¹¹ · n⁴) ÷ n³ · n² ÷ n
= (n¹⁵ ÷ n³) · n² ÷ n
= (n¹² · n²) ÷ n
= n¹⁴ ÷ n
= n¹³
Ultimately you just have to calculate
6 + 5 + 4 - 3 + 2 - 1 = 13
Answer:
10x=log6-3
Step-by-step explanation:
Answer: Choice D. y = (x-1)^2 - 3
The vertex is (h,k) = (1,-3). So h = 1 and k = -3.
We have a = 1 as the leading coefficient.
Plug those values into the equation below
y = a(x-h)^2 + k
y = 1(x - 1)^2 + (-3)
y = (x - 1)^2 - 3