The expression that is equivalent to the given expression where the expression is given as (18)2⋅(19)2 is (18 * 19)^2
<h3>How to determine which expression is equivalent to the given
expression? </h3>
The expression is given as
(18)2⋅(19)2
Rewrite the above expression properly
So, we have
(18)^2 * (19)^2
The factors in the above expression have the same exponent.
So, the expression can be rewritten as
(18 * 19)^2
Hence, the expression that is equivalent to the given expression where the expression is given as (18)2⋅(19)2 is (18 * 19)^2
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<h3>
Answer: C) 6</h3>
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Explanation:
The weird looking E symbol is the greek uppercase letter sigma. It refers to a sum.
It tells us to add up terms in the form (-1)^n*(3n+2) where n is an integer ranging from n = 1 to n = 4.
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If n = 1, then we have
(-1)^n*(3n+2) = (-1)^1*(3*1+2) = -5
Let A = -5 as we'll use it later.
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If n = 2, then
(-1)^n*(3n+2) = (-1)^2*(3*2+2) = 8
Let B = 8 since we'll use this later as well
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If n = 3, then
(-1)^n*(3n+2) = (-1)^3*(3*3+2) = -11
Let C = -11
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If n = 4, then
(-1)^n*(3n+2) = (-1)^4*(3*4+2) = 14
Let D = 14.
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We'll add up the values of A,B,C,D to get the final answer
A+B+C+D = -5+8+(-11)+14 = 6
This means that
0, 2, 4, 6 is because the rule it to add 2
1, 2,4,8 is a geometric sequence since the rule is to mutliply by 2
1,4,8, 13 is neither even though there is a pattern add 3, add 4 add 5 etc.
Answer:
19 ft by 38 feets
Step-by-step explanation:
Given that :
Available fencing = 76 feets
Rectangular fencing with 3 sides
Let the 3 sides be :
x, x, y
x + x + y = 2x + y = 76
y = 76 - 2x
Area = x * y = xy
Area = (76 - 2x) * x
Area = 76x - 2x²
Take derivative of Area with respect to x ; dA
dA /dx = 76 - 4x = 0
76 - 4x = 0
-4x = - 76
x = 76 / 4
x = 19
2x + y = 76
2(19) + y = 76
38 + y = 76
y = 76 - 38
y = 38
Hence, dimension : 19feet by 38 feets
Answer: I believe A because there are 25 total food types, and 3 are sweet, so it's 3/25
