Answer:
ƒ(x) = -⅔(6)ˣ⁻¹
Step-by-step explanation:
Your geometric series is
-⅔, -4, -24, -144 …
The formula for the nth term of a geometric series is
aₙ = a₁rⁿ⁻¹
1. Calculate the common ratio (r)
The common ratio is 6.
2. Write the formula for the series
The formula for the nth term is
aₙ = -⅔(6)ⁿ⁻¹ or
ƒ(x) = -⅔(6)ˣ⁻¹
Check:
a₁ = -⅔(6)⁰ = -⅔ × 1 = - ⅔
a₂ = -⅔(6)¹ = -⅔ × 6 = - 4
a₃ = -⅔(6)² = -⅔ × 36 = - 24
a₄ = -⅔(6)³ = -⅔ × 216 = -144
It checks.
<h3>
Answer: 65/63</h3>
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Explanation:
Draw a right triangle in the first quadrant, aka northeast quadrant, as shown in the diagram below.
Cosecant involves the ratio of hypotenuse over opposite. It's the reciprocal of sine
sin(angle) = opposite/hypotenuse
csc(angle) = hypotenuse/opposite
since csc = 1/sin
Use the pythagorean theorem to solve for b in the diagram
a^2+b^2 = c^2
16^2+b^2 = 65^2
256+b^2 = 4225
b^2 = 4225-256
b^2 = 3969
b = sqrt(3969)
b = 63
So this is the adjacent side. The secant ratio involves hypotenuse over adjacent (it's the reciprocal of cosine).
sec(angle) = hypotenuse/adjacent
sec(A) = 65/63
Steps:
1. Substitute the y in 4x + 10 with -5x-10
-5x-10= 4x + 10
2. Add 5x on both sides
-10= 9x + 10
3. Subtract 10 on both sides
-20= 9x
4. Divide by 9 on both sides
5. Your answer is
X= -20/9
Answer:
A circle is a bounded object with points from its center to its circumference is equidistant.
Area of a circle = πr²
Where :
π = pi = 3.14
R = radius = diameter / 2 = 20m / 2 = 10m
3.14 x 10² = 314m²
Number of boxes needed to cover the garden = area of the garden / coverage of one box
314m² / 58m² = 5.14
5 boxes to one significant figure
<h2>
Brainliest pls</h2>