Answer: X=6
Step-by-step explanation:
Answer:
V≈33.51
Step-by-step explanation:
V=πr^2 ( h/3)
v=π·2^2 (8/3)
v≈33.51032
Answer:
About 19.45%
Step-by-step explanation:
First set the fraction equal to x over 100 ———- (70/360)=(x/100)
cross multiply———- 70 * 100 = 7000 360 * x = 360x
solve for x —————- 7000=360x
7000/360= 19.44444444
Round ——- x=19.45
OR
Divide fraction ———— 70/360 = 0.1944444444
Next, convert to percentage by moving decimal 2 places to the right ——
019.44444444
Round ————- = 19.45
Answers:
Domain = [-3, 3]
Range = [-1, 2]
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Explanation:
The domain is the set of all allowed x inputs. Visually, the left-most point is when x = -3, so -3 is the smallest allowed x input. We have a closed circle at this endpoint, so this endpoint x value is included. In contrast, if you had an open circle, then you would exclude the endpoint.
Similarly, we have a closed endpoint at the other side as well when x = 3. This is the largest allowed x value. The domain is the set of x values such that 
meaning x is between -3 and 3, including both endpoints. This translates to the interval notation of [-3, 3]. The square brackets say "include the endpoint".
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The range is the set of possible y outputs of a function. The lowest the function goes is when y = -1, and the highest is when y = 2. We include both endpoints. The range as a compound inequality is 
which converts to the interval notation of [-1, 2]
An = a1 + (n-1)*d
n = term to find = 30
a1 = first term = 20
d = common difference = 2
a30 = 20 + (30 - 1) * 2
a30 = 20 + 29 * 2
a30 = 20 + 58
a30 = 78
sn = (n (a1 + a30)) / 2
s30 = (30(20 + 78) / 2
s30 = (30(98) / 2
s30 = 2940/2
s30 = 1470 <===
