Answer:
31
Step-by-step explanation:
The range of a set of data is the difference between the highest and lowest values in the set.
First arrange all the figures in order from the smallest to the largest value
3,7,8,16,20,22,34
Therefore, finding range would be; 34-3 =31
Hope this helps!
There is a 7 in both 7x and 7 so you will take that out.
7 (x+1)
Then there is an x in both x2 and 2x so you take that out.
x (x+2)
Answer:
Step-by-step explanation:
Divide both sides by the square root of 2. If you are looking for an exact answer that is rationalized, it would be found by multiplying 6/sqrt(2) * sqrt(2)/sqrt(2) to get

System of equations:
x + y = 23
x - y = 7
Add them together
2x = 30
x = 15
Now plug 15 into one of the equations:
15 + y = 23
y = 8
your two numbers are 15 and 8
Answer:
1.
x 
ii. 18
b. -12
2. nth = a + (n - 1)d
ii. k = 103
3.
= 
4. Volume = 25.025 
Step-by-step explanation:
1. Prime factors of 5832 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3
=
x 
ii.
= 18
b. 2
- 3
+ 3abc
a = 3, b = 2, c = -1
Thus,
2
- 3
+ 3(3 x 2 x -1)
= 18 - 12 - 18
= -12
2. The required formula is;
nth = a + (n - 1)d
where: a is the first term, n is the number of terms in the sequence and d is the common difference.
b. kth term = 304, then
304 = -2 + (k - 1) 3
= -2 + 3k -3
= 3k - 5
3k = 304 + 5
3k = 309
k = 
= 103
k = 103
3. Comparing <DAB and < EBC;
<DAB ≅ <EBC = 
<BEC =
(right angle property)
<C = 
Thus,
<B + <C + <E =
(sum of angles in a triangle)
+
+
=
+ 153 =
= 180 - 153
= 27
= 
4. Volume of a cylinder = 
h
where r is the radius and h is the height of the cylinder.
Diameter = 3.5 m, h = 2.6 m
r = 
r =
m
So that,
Volume =
x
x 2.6
=
x
x 
= 25
Volume = 25.025 