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3 years ago

Find an explicit formula for the geometric sequence 120, 60, 30, 15, ....

Mathematics

2 answers:

nikdorinn [45]3 years ago

5 0

Answer:

f(n) = 120 * (1/2)^n

Step-by-step explanation:

First the first number is 120, so we get y = 120, then 60/120 = 1/2

So we no the r, or constant rate is 1/2.

After that, we can finish our equation by doing

f(n) = 120 * (1/2)^n

y = 120*(1/2)^x

nevsk [136]3 years ago

5 0

Answer:

120(0.5)^x-1

Step-by-step explanation:

If we look at the sequence we can see that the sequence is decreasing by 1/2 of the other or dividing by 2.

120/2= 60 60/2= 30....

So, we know the multiplier is 1/2 or 0.5

So...

120(0.5)^x-1

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Answer:

1. slope= 2/9

2. y intercept=-3

3. the line is increasing

Step-by-step explanation:

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3 years ago

The radius of cylindrical water tank is 4.5 ft, and its height 6 ft, What is the volume of the tank?

NeTakaya

Answer:

$Volume=381.7 \,ft^3$

Step-by-step explanation:

Use the formula for the volume of a cylinder:

Volume= B times height

Being "B" the area of the cylinder's base (a circle of radius 4.5 ft.

Therefore the area of the base is:

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3 years ago

In triangle VWX, VW = 4.5 inches, WX = 5.9 inches, Measure of angle W = 28 degrees, and Measure of angle X = 47 degrees. If Tria

lesya692 [45]

Answer:

There are two statements that are true:

B. QR = 5.9 cm

D. Measure of angle R = 47 degrees

Step-by-step explanation:

1. Let's recall that if ΔVWX ≅ ΔPQR, then:

VW ≅ PQ

WX ≅ QR

PR ≅ VX

therefore, QR is 5.9 cm and not 4.5 cm

2. Let's recall that if ΔVWX ≅ ΔPQR, then:

∠V ≅ ∠P

∠W ≅ ∠Q

∠X ≅ ∠R

therefore, measure of ∠R is 47° and not 28°

There are two statements that are true:

B. QR = 5.9 cm

D. Measure of angle R = 47 degrees

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3 years ago

Identify the equations as parallel lines, perpendicular lines, or neither.

Sever21 [200]

Answer:

Perpendicular

Step-by-step explanation:

A perpendicular line has an opposite slope. one of these has 5x and one has -5x, these are opposite, so they are perpendicular.

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3 years ago

Solve 2x2 + 3x = −8.

77julia77 [94]

Answer:

Final answer iis choice B) $x=\frac{-3\pm i\sqrt{55}}{4}$

Step-by-step explanation:

$2x^2 + 3x =-8$

$2x^2 + 3x +8 = 0$

Compare with quadratic equation $ax^2 + bx +c = 0$ , we get:

a=2, b=3, c=8

Now plug these values into quadratic formula:

$x=\frac{-3\pm \sqrt{\left(3\right)^2-4\left(2\right)\left(8\right)}}{2\left(2\right)}$

$x=\frac{-3\pm \sqrt{9-64}}{4}$

$x=\frac{-3\pm \sqrt{-55}}{4}$

$x=\frac{-3\pm i\sqrt{55}}{4}$

Hence final answer iis choice B) $x=\frac{-3\pm i\sqrt{55}}{4}$

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4 years ago