Step-by-step explanation:
<h3>
Given</h3>
x-3. eq 1
x+1 eq 2
4x-2 eq 3
Add equation 1 ,2 ,3
x -3 + x +1 +4x-2 =0
6x - 4 = 0
x = 4/6
x = 2/3
Hope it helps
Hope it help
Answer:
52.
Step-by-step explanation:
1) if the number of term is 'n', then n∈N;
2) for N={1,2,3,4,5,6,7...n};
3) the condition 'the n-th term of a sequence is 60-8n' can be re-written as
aₙ=60-8n and analyzed
4) a₁=60-8*1=52; a₂=60-8*2=44; a₃=60-8*3=36; a₄=60-8*4=28; a₅=60-8*5=20; a₆=60-8*6=12; a₇=60-8*7=4; a₈=60-8*8= -4; a₉=60-8*9= -12; a₁₀= -20, etc., then
5) the larges term of the given sequence is a₁=52.
has two points of discontinuity at , where .
We have
so as long as , we can cancel and be left with . Then as , we have
The limit exists, so the discontinuity at -1 is removable (so definitely not C or D).
Meanwhile,
does not exist, so the discontinuity at 1 is non-removable, making A the correct answer.
Answer:
56844.9 units squared
Step-by-step explanation:
The surface area of a cone is denoted by: , where r is the radius and l is the slant height. The slant height is basically the length from a point on the base circle to the top vertex of the cone.
Here, since our diameter is 50 and diameter is twice the radius, then our radius is r = 50/2 = 25.
To find the slant height, we have to use the Pythagorean Theorem:
, where h is the height
Now, plug these values of r and l into the first equation above:
≈ 56844.9 units squared
Lower Quartile-21
Upper Quartile-52
Interquartile Range- 31
Hope this helps !!