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:
<h2>
A = 132 cm²</h2>
Step-by-step explanation:
Area of the figure is a sum of area of rectangle 4 cm × 7 cm and trapezoid with bases of 19 cm i 7 cm and altitude of 8 cm.
Therefore:
Answer:
Complementary angles are a pair of angles that sum up to 90 degrees. Supplementary angles are a pair of angles that sum up to 180 degrees.
Step-by-step explanation:
Answer:
f(g(x))(-1) = 0
Step-by-step explanation:
Step 1: Find f(g(x))
5(x + 3) - 10
5x + 15 - 10
5x + 5
Step 2: Plug in -1
5(-1) + 5
-5 + 5
0
Answer:
<h2>B) x = 1 and 5</h2>
Step-by-step explanation:
x-intercept: the intersection point of the graph with the x axis.
Therefore, the x-intercepts are x = 1 and x = 5 (<em>look at the picture)</em>.
