Which formula can be used to describe the sequence?-3, 3/5, -3/25, 3/125, -3/625

A. f(x) = -3(1/5)^x-1
B. f(x) = -3(1/5)^x-1
C. f(x) = -1/5(3)^x-1
D. f(x) = -1/5(-3)^x-1

Answers

Answer 1
Answer: each term is multiplied by -1/5
first term is -3

an=a1(r)^(n-1)
for a1=first term
r=common ratio
n=which term


in this case
first term=-3
common ratio is -1/5
so

f(x)=-3( (-1)/(5))^(x-1)

none of them
oh, A and B are the same
the one that has the -1/5 inside is the one
Answer 2
Answer:

The one that has the -1/5 inside is the one.

each term is multiplied by -1/5.

The first term is -3

What is the formula for the sequence?

a_n=a_1(r)^((n-1))

for a_1=first term

r=common ratio

n=which term

In this case

The first term=-3

The common ratio is -1/5

so, f(x)=-3((-1)/(5) )^((x-1))

None of them A and B are the same

The one that has the -1/5 inside is the one.

To learn more about the sequence visit:

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If n-2 = 1/16, then n could be which of the following?-8
-4
-1/4
1/4
4

Answers

Answer:

The correct options are 2 and 5. The value of n is either -4 or 4.

Step-by-step explanation:

The given equation is

n^(-2)=(1)/(16)

Using the property of exponent it can be written as

(1)/(n^(2))=(1)/(16)             [\because a^(-n)=(1)/(a^n)]

On comparing both the sides we get

n^2=16

Taking square root both the sides.

n=\pm√(16)

n=\pm 4

The value of n is either -4 or 4. Therefore the correct options are 2 and 5.

The answer is 4

4^-2 = .0625 or 1/16

A tree of 14mheight is broken by the wind so that it's top touches the ground. Find the length of broken part of the tree.

Answers

Answer:

7 m

Step-by-step explanation:

As the question is given, the tree is broken from the middle and the length of the broken part is:

  • 14 m /2 = 7 m

So it is 7 m

Final answer:

To find the length of the broken part of the tree, use the concept of similar triangles and set up an equation. Solve the equation to find the length of the broken part.

Explanation:

To find the length of the broken part of the tree, we can use the concept of similar triangles. The height of the tree is 14m, and when it's broken, the top touches the ground, forming a right triangle with the remaining part of the tree. Let's call the length of the broken part x. Using the properties of similar triangles, we can set up the following equation:

14m / x = (14m - x) / x

Simplifying the equation, we get:

14m^2 - x^2 = 14m * x

Now, let's solve for x:

14m * x = 14m^2 - x^2

x^2 + 14m * x - 14m^2 = 0

This is a quadratic equation that can be factored:

(x - 14m)(x + m) = 0

So, x = 14m or x = -m. Since we are dealing with length, we can ignore the negative solution. Therefore, the length of the broken part of the tree is 14m.

Learn more about Similar triangles here:

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A teacher buys pizza for her class. There are 5 pizzas, each with 8 slices. If she has 25 students, how many slices of pizza does each student get?Group of answer choices

Answers

There are 40 slices pratap and 25 kids. 40/25 is 1.6 meaning each student can only get one slice because not everybody could get two
I don’t even knowwww

A=1300e^(.043*5)=$1611.82


Where do they get the value for e? (2.718281828459)

Answers

e is Euler's number, a mathematical constant.

What is the slope for the following equations? (use the format m=#)(1 Point)
y = 1/5x -2
Enter your math answer

Answers

the slope of the equation is 1/5! when it is written in y=mx+b form, the slope will always be the term before x :)

An angle measures 142° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

              19° and 161°

Step-by-step explanation:

A - an angle

S - its suplementary angle

A = S - 142°

Suplementary angles add to 180° so:

A + S = 180°

S - 142° + S = 180°

2S  = 322°

S = 161°

A = 161° - 142° = 19°