<span>13(10+2) = 13(12)....add those numbers in the ( )
answer: </span><span>13(12)</span>
Answer:
x = 3
Step-by-step explanation:
Maybe you want the value of x such that ...
4(6^x) = 864
<h3>Solution</h3>
Dividing by 4 gives ...
6^x = 216
You may know that 216 = 6^3. Using that, we can equate exponents:
6^x = 6^3
x = 3
Alternatively, we can use logarithms to find x. Taking logs gives ...
x·log(6) = log(216)
x = log(216)/log(6) = 3
A is 11 and b is 16. for b you would plug in what you got for a for x
Answer: The possible side lengths are either 16 inches or 20 inches
Step-by-step explanation: The aquarium is in the shape of a cube which suggests that, all dimensions (length, width and height) are equal.
If it can hold 4096 cubic inches of water, then the volume of water in it can be calculated as follows;
Volume = L x W x H
Knowing that all three dimensions are the same the formula can be re-written as;
Volume = L³
4096 = L³
Add the cube root sign to both sides of the equation
∛4096 = ∛L³
16 = L
Also if it can hold up to 8000 cubic inches of water, then the volume of water in it can be calculated as;
Volume = L³
8000 = L³
Add the cube root sign to both sides of the equation
∛8000 = ∛L³
20 = L
Therefore, if the aquarium can hold between 4096 and 8000 cubic inches of water, then the side lengths are either 16 inches or 20 inches
Answer:
<h3>C. no solution</h3>
Step-by-step explanation:
Determine the number of solutions for each of the equations below. Be sure to
justify your conclusions. *
(z – 8)2 = -1
A. one solution
B. infinitely many solutions
C.no solution
D. x = 9
Given the expression;
<u>(z – 8)^2 = -1</u>
we are to find the nature of the solution;
Take the square root of both sides
(z – 8)^2 = -1
√(z – 8)^2 = √-1
z- 8 = √-1
Note that √-1 will give a complex number i to have;
z = 8 ± i
This therefore shows that the equation has no real solution.
