<u>Given</u>:
The graph shows the speed of a ball in free fall for 10 seconds.
We need to determine the constant of proportionality for the given graph.
<u>Constant of proportionality:</u>
The constant of proportionality can be determined using the formula,
Where k is the constant of proportionality.
Let us consider any of the coordinate from the graph and substitute in the formula.
Consider the coordinate (4,40) and substitute in the above formula.
Thus, we have;
Thus, the constant of proportionality is 10 meters per second squared.
Answer:
<u>The measure of the arc CD = 64°</u>
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>
Answer:
total money=rupees 50
3/5 of 50= rupees 30
money he spent = rupees 30
money he's left with =50-30=20
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Answer:
D. n1 and n2 can be of different sizes
Step-by-step explanation:
When we are trying to develop interval estimate for difference between two populations, we first select two samples from these populations. We get the interval using the required statistic.
These are:
- Sample size of both populations. Which are n1 and n2 respectively.
- then the Sample mean of two populations
- sample standard deviation.
The samples of different sample sizes can be used and we are not obligated to make use of the same sample size.
Answer:
The answer is D on edgen.
Step-by-step explanation:
D. 80
(all you do is add 40, 14 and 26 from the graph)
