The rewritten form of the expression as a single logarithm is; log {(x+3)²(x-2)^5}/(x-7)³(x²).
<h3>What is the rewritten form of the expression?</h3>
The expression given in the task content can be rewritten as a single logarithm by virtue of the laws of logarithms as follows;
2log(x+3)-3log(x-7)+5log(x-2)-log(x^2)
= log(x+3)² - log(x-7)³ +log(x-2)^5-log(x^2)
= log {(x+3)²(x-2)^5}/(x-7)³(x²)
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Answer:
1 1/12
Step-by-step explanation:
3/4 x 3/3
1/3x4/4
9/12+4/12=13/12
The fraction 13/12 Cannot be reduced, But the fraction 13/12 is the same as 13 divided by 12
So 13/12=1 1/12
Therefore 3/4+1/3=1 1/12
The measure of ∠K is 49 degrees 22 minutes 51 seconds.
<u>Step-by-step explanation:</u>
Given that ∠J and ∠K are complementary.
∠J = 41°38'9".
∠K = ?
When a sum of two angles result is 90°, then it is called as complementary angles.
Since ∠J and ∠K are complementary, then their sum is 90°.
∠J +∠K=90°.
∠K= 90° - ∠J.
=90°60'60" - 41°38'9".
=49°22'51".
∠K= 49 degrees 22 minutes 51 seconds.
If you aer talking about a venn diagram, then the circles will overlap because some shapes have polygons with right angles and angles less than right triangles
example: right triangles or trapezoids
yes, they wil overlap
Answer:
Class interval 10-19 20-29 30-39 40-49 50-59
cumulative frequency 10 24 41 48 50
cumulative relative frequency 0.2 0.48 0.82 0.96 1
Step-by-step explanation:
1.
We are given the frequency of each class interval and we have to find the respective cumulative frequency and cumulative relative frequency.
Cumulative frequency
10
10+14=24
14+17=41
41+7=48
48+2=50
sum of frequencies is 50 so the relative frequency is f/50.
Relative frequency
10/50=0.2
14/50=0.28
17/50=0.34
7/50=0.14
2/50=0.04
Cumulative relative frequency
0.2
0.2+0.28=0.48
0.48+0.34=0.82
0.82+0.14=0.96
0.96+0.04=1
The cumulative relative frequency is calculated using relative frequency.
Relative frequency is calculated by dividing the respective frequency to the sum of frequency.
The cumulative frequency is calculated by adding the frequency of respective class to the sum of frequencies of previous classes.
The cumulative relative frequency is calculated by adding the relative frequency of respective class to the sum of relative frequencies of previous classes.
