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3 years ago

find an equation for the nth term of a geometric sequence where the second and fifth terms are -8 and 512

Mathematics

1 answer:

kaheart [24]3 years ago

7 0

Answer:

$n_x = -4n_{x-1}\\$

where $n_1$ = 2

Step-by-step explanation:

512/-8 = -64

difference of n = 3

$\sqrt[3]{64} = 4$

$n_x = -4n_{x-1}\\$

where $n_1$ = 2

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The base of a triangular prism is a right triangle with a base of 6 inches, a height of 8 inches, and a third side length of 10

Vikentia [17]

The surface area of the rectangular prism with the dimensions that are stated is: 384 in.²

<h3>What is the Surface Area of a Triangular Prism?</h3>

Surface area = perimeter of base × height of prism + 2(base area)

= (s1 + s2 + s3)L + 2(1/2bh)

Given the following:

side of base (s1) = 6 in.
side of base (s2) = 8 in.
side of base (s3) = 10 in.
Length of prism (L) = 14 in.
Triangular base length (b) = 6 in.
h = 8 in.

Surface area = (6 + 8 + 10)14 + 2(1/2 × 6 × 8)

Surface area = 384 in.²

Learn more about the surface area of a rectangular prism on:

brainly.com/question/1310421

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2 years ago

Raise c to the 8th power!

Agata [3.3K]

Answer:

c^8

Step-by-step explanation:

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3 years ago

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Henry has 15 lawns mowed out of a total of 60 lawns. What percent of the lawns does Henry still have to mow?

Ksju [112]

Answer: He still has to mow 45 lawns, or 75% of the lawns before he is finished.

3 0

3 years ago

Identify the equation of the circle that has its center at (16, 30) and passes through the origin

Veronika [31]

To solve this question, we have to find the equation of the circle with given center and where it passes. Doing this, we get that the equation of the circle is:

$(x - 16)^2 + (y - 30)^2 = 1156$

Equation of a circle:

The equation of a circle with center $(x_0, y_0)$ and radius r is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

Center at (16, 30)

This means that $x_0 = 16, y_0 = 30$

Thus

$(x - 16)^2 + (y - 30)^2 = r^2$

Passes through the origin:

We use this to find the radius squared, as this means that $x = 0, y = 0$ is part of the circle. Thus

$(x - 16)^2 + (y - 30)^2 = r^2$

$(0 - 16)^2 + (0 - 30)^2 = r^2$

$r^2 = 16^2 + 30^2 = 1156$

Thus, the equation of the circle is:

$(x - 16)^2 + (y - 30)^2 = 1156$

For another example to find the equation of a circle, you can look at brainly.com/question/23719612

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3 years ago

A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the ground. How high is the top of

-Dominant- [34]

Answer:

63.6 feet

Step-by-step explanation:

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$x=90 sin (45)$
$x=45\sqrt{2}$
x = 63.6 feet

6 0

2 years ago