Answer:
Step-by-step explanation:
∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹
This is a finite geometric series with n = 4, a₁ = -144, and r = ½.
S = a₁ (1 − rⁿ) / (1 − r)
S = -144 (1 − (½)⁴) / (1 − ½)
S = -270
If you wanted to find the infinite sum (n = ∞):
S = a₁ / (1 − r)
S = -144 / (1 − ½)
S = -288
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Answer:
The Answer is 30.
Step-by-step explanation:
Well, first of all, you need to add number inside the Parentheses, which is 10, then 3 times 10, which is 30.
The solution to the inequality x-13<=7+4x is x >= -20/3
<h3>How to solve the inequality?</h3>
The inequality expression is given as:
x-13<=7+4x
Add 13 to both sides of the inequality
x <= 20 + 4x
Subtract 4x from both sides of the inequality
-3x <= 20
Divide both sides of the inequality by -3
x >= -20/3
Hence, the solution to the inequality x-13<=7+4x is x >= -20/3
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<u>Complete question</u>
Solve the inequality for x
x-13<=7+4x
-15=a/5
well first you would multiply by each side, with a result of
-75=a
so D
<h3>
Answer: 38.66 degrees</h3>
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Explanation:
As you stated in problem 4, tan(angle) = opposite/adjacent
We'll use this idea to help find angle Z. First lets set up the proper tangent ratio for this problem
tan(Z) = XY/YZ
tan(Z) = 8/10
tan(Z) = 0.8
To isolate Z, we need to undo the tangent function. We will use the inverse tangent or the arctangent function to do this.
tan(Z) = 0.8
arctan( tan(Z) ) = arctan(0.8)
Z = 38.6598 which is approximate
This rounds to 38.66
