Answer:
Perpendicular ⇒
m = -1/-4 = 1/4
g(x) = (1/4)x + b
3/4 = (1/4)(5) + b
b = -1/2
g(x) = (1/4)x - 1/2
Step-by-step explanation:
Answer:
<u>(7,a) Where a ∈ R - {7}</u>
<u>OR</u>
<u>(-2,a) where a ∈ R - {-2}</u>
Step-by-step explanation:
The coordinates of the given line from the right to the left are:
(7,1) and (-2,1)
So, to make a right triangle, we need to make a right angle or by another words, we need to a make a perpendicular line to the given line (i.e: a vertical line parallel to the y-axis at one of the given points)
So, the third vertex must be on the line x=7 or x=-2
So, the coordinates of the third vertex is:
<u>(7,a) Where a ∈ R - {7}</u>
<u>OR</u>
<u>(-2,a) where a ∈ R - {-2}</u>
First, we are going to find the common ratio of our geometric sequence using the formula:

. For our sequence, we can infer that

and

. So lets replace those values in our formula:


Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:

. We know that

; we also know for our previous calculation that

. So lets replace those values in our formula:

Finally, to find the 9th therm in our sequence, we just need to replace

with 9 in our explicit formula:



We can conclude that the 9th term in our geometric sequence is <span>
1,562,500</span>
Answer:
1/3
Step-by-step explanation:
If Mackenzie drinks 8 ounces of water per 24 hours, that could be written as a ratio and a fraction. 8:24, 8/24
8/24 in its simplest form is 1/3.
Answer: The hypothesis test is left-tailed test.
The parameter tested here is population mean.
Step-by-step explanation:
Given : The null and alternative hypotheses are as follows:


We can see that the parameter tested here is population mean.
Also, the type of test depends on the alternative hypothesis.
Since the alternative hypothesis is left-tailed so the hypothesis test is left-tailed test.