Answer:
NO
YES
NO
YES
Step-by-step explanation:
for example :
(4³)³ = 4^9
4³.4³ = 4^6
Answer:
Step-by-step explanation:
34 inches
Step-by-step explanation:
So when a question asks what is x% of the y number. It's asking you to convert the x into decimal form by dividing by 100 and then multiply it by y. This gives you the equation: which gives you x% of y. so 15% of 43 is . 43% of 300 is .
the 12% of what number is 43 is a bit more tricky. It's asking you to instead find a number in which 12% of it is equal to 43. So instead of plugging solving for the percentage (which is already given) you solve for y. This gives you the following equation: . Now all you do is calculate 12/100 which gives you . now divide both sides by 0.12 to solve for y. This gives you
43 is what percent of 106? This question is also a bit tricky, but instead of solving for y, you're solving for x. So plug in the known values, which gives you the equation: . Divide both sides by 106 to get and now multiply both sides by 100. this gives you which is the answer 40.57%
What percent of 43 is 6. This is asking the same thing just in a different way. So percentage = unknown, entire number = 43, entire number * percentage = 6. With these values we get the equation: . Divide both sides by 43 to get now multiply by 100 to get which is the answer 13.95%
If you can divide 81 by 4 and end up with a remainder of 1, then yes, 81 is a part of your sequence.
To justify that, it helps to think about ways we can represent numbers in terms of quotients and remainders. For example, if we take 10/3, we’ll obtain the quotient 3 with a remainder of 1, so another way of writing 10 would be 3(3)+1. If we replace that second three with any integer n, 3n+1 represents *every number* that leaves us with a remainder of 1 when we divide it by 3.
By the same logic, 4n+1 represents every number that leaves a remainder of 1 when we divide it by 4. 81 indeed meets this requirement, since can be written as 4(20)+1, so it would be a part of the sequence.
Answer:
200
Step-by-step explanation:
log a is the same thing as: which can be rewritten as and in general logarithms are in the form which can be written as
Rewrite into exponential form
Simplify exponent
Divide by 5
x=200