Answer: x = 1/16
Step-by-step explanation:
Since the inverse of a Logarithm is an exponential function, we know that the final solution has to involve an exponential function somewhere in it.
1. log B(2) {x} = -4 || given
2. x = 2 ^ -4 || Logarithm rule that allows you to move the base of the logarithm to the base of the exponent on the other side. For example, if you had log B(5) {x} = 3, the base of 5 would move over to the other side and it would be raised to 3; x = 5^3.
3. x = (1) / (2^4) || Simplify. Use the negative exponent rule. This rule always leaves a numerator of 1, and a denominator of your exponent. In this case, it will be 2 ^ -4, so you will do 2^4 which is 16 and you will put that over 1. Resulting in your final answer of x = 1/16
Answer:
Option A ( radius is twice the daimeter )
Step-by-step explanation:
The relationship between radius and daimeter is given as
Radius² = Daimeter ⇒ r² = d
And cricumference can be calculated with radius
As circumference is 2πr
A divergent series is a type of series in which the ratio is too large and the summation is held from one to infinity. Hence, the sum could not be found out. A convergent series, on the other hand, has a definite answer because one could be the ratio is small and the lower and upper limits are defined not equal to infinity either positive or negative.
Answer:
A
Step-by-step explanation:
We want to find the surface area, which will essentially just be the areas of all the figures given in the net.
We have two congruent triangles and 3 different rectangles.
<u>Triangles</u>:
The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height. The base here is 3 and the height is 4, so:
A = (1/2) * b * h
A = (1/2) * 3 * 4 = 6
Since there are two triangles, multiply 6 by 2: 6 * 2 = 12 cm squared
<u>Rectangles</u>:
The area of a rectangle is denoted by: A = b * h, where b is the base and h is the height.
The base of the leftmost rectangle is 4 and the height is 7, so:
A = b * h
A = 4 * 7 = 28
The base of the middle rectangle is 3 and the height is 7, so:
A = b * h
A = 3 * 7 = 21
The base of the rightmost rectangle is 5 and the height is 7, so:
A = b * h
A = 5 * 7 = 35
Add these together:
12 + 28 + 21 + 35 = 96 cm squared
The answer is thus A.
