Answer:
2nd option
Step-by-step explanation:
Using the rule of exponents/ radicals
⇔
, then

= ![(\sqrt[4]{10}) ^{3x}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7B10%7D%29%20%5E%7B3x%7D)
Answer:
A = 2
Step-by-step explanation:
When there are no solutions for x, both sides x cancel leaving an equation with two distinct numbers equal to each other (e.g. 6 = 0). Therefore, we must find a number A for which that happens.
Lets first simplify the equation, 3Ax - 24 = 5x - 9 + x = 6x - 9.
We want to cancel out the 6x on both sides. This happens when the left side also has 6x, so 3Ax = 6x -> A = 2.
Testing out this works, we get:
6x - 24 = 6x - 9 -> -24 = -9 (which isn’t true)
We get no solutions, which is what we are looking for! Therefore, A = 2 must be our answer!
I hope this helps! :)
Let n represent the amount Colin earned on Sunday.
On Sat. he earned n/2; on Sun. he earned n; and on Friday he earned (1/2)(n/2).
Then n/2 + n + n/4 = $70
Mult. all terms by 4 to eliminate fractions:
2n + 4n + n = $280
7n = $280 => n = $40
Colin earned n/2, or $20, on Saturday; n, or $40, on Sunday; and n/4, or $10, on Friday.
Note that $20 and $40 and $10 add up to $70, as they must.
Answer: d. Random
Step-by-step explanation:
In statistics, a simple random sampling is a sampling technique in which a subset of the population named as sample is drawn by the researcher in such a way that all the individuals have equal probability of getting selected.
If the Total population size is N , then the probability for any individual of getting selected is
.
Therefore , the sampling designs do all members of a population have an equal chance of being selected is random sampling.
Rest of other sampling methods does not give equal chance to the members of the population of getting selected.
9.





10.
The least will be one of the negative ones, -3 or -6/5. Since -6/5=-1.2, we see
-3 is the least
11.
81 < 90 < 100


Answer: 10 feet
12.
We know
and 
Since

is the tallest.