Answer:
<u>y-intercept</u><u> </u><u>is</u><u> </u><u>0</u><u>,</u><u> </u><u>x-intercept</u><u> </u><u>is</u><u> </u><u>0</u><u> </u><u>and</u><u> </u><u>1</u>
Step-by-step explanation:
For y-intercept, x=0 :

For x-intercept, y=0 :

In your 30° - 60° - 90° triangle, the ratios of the sides are
.. PR : QR : PQ = 1 : √3 : 2
A) QR/PQ = (√3)/2 . . . . . TRUE
B) PR/PQ = 1/2, not (√3)/2 . . . . false
C) QR/PR = (√3)/1 . . . . . TRUE
D) PQ/PR = 2/1, not √3 . . . . . . .false
E) QR/PR (see C) . . . . . . . . . . .false
F) PQ/PR = 2/1 . . . . . . . .TRUE
Answer:

Step-by-step explanation:
To find (fg)(x), we have to look at f(x) and g(x) and multiply the two quantities together. We are already given the two quantities individually so all that is left is the multiplication:

If we reorder the terms to go from highest degree to lowest, we get our final answer to be the following:

The maximum height that the pendulum can reach will be 45 meters.
<h3>How to calculate the height?</h3>
It should be noted that the total energy at A should be equal to the total energy at B.
Therefore, this will be calculated thus:
1/2(14)² + 10(35) = 1/2(0)² + mgH
98 + 350 = 10H
448 = 10H
H = 448/10
H = 44.8 meters
H = 45 meters approximately
Learn mote about height on:
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Answer:
The approximate 90% confidence interval is;
70,244 to 70,732
Step-by-step explanation:
Here, we want to calculate the approximate 90% C.I for the situation
Mathematically;
CI = mean ± (z * SD)/√n
From the question;
mean = 70,438
SD = 645.3
n = 30
we can get z from the CI table
90% CI is same as; 1.645 z-score
So , substituting these values;
CI = 70,438 ± ( 1.645 * 645.3)/√30
CI = 70,438 ± 194
So the CI = 70,438 -194 to 70,438 + 194
= 70,244 to 70,732