f(1) = 4
f(2) = 25
f(n) = f(n - 2). S (n - 1)
f(3) =

F(1) = 4f(2) = 25f(n) = F(n - 2). S (n - 1)f(3) =

Answers

Answer 1

Answer:

[tex]f(3) = f(3 - 2) \times f(3 - 1)[/tex]

[tex]f(3) = f(1) \times f(2)[/tex]

[tex]f(3) = 4 \times 25[/tex]

[tex]4 \times 25 = 100[/tex]

Answer 2

12 is the measure of the value of f(3).

Sequences and series

Based on the given information, we have f(1) = 4 and f(2) = 25.

To determine the value of f(3), we will use the recursive formula

f(n) = f(n - 2) * S(n - 1), where:

S represents the successor function.

Determine f(3):

f(3) = f(3 - 2) * S(3 - 1)

f(3) = f(1) * S(2)

f(3) = 4 * 3

f(3) = 12

Therefore, the value of f(3) from the sequence is 12.

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Related Questions

is 1/2 • 2/3 greater than 2/3

Answers

Answer:

no, it is smaller

Step-by-step explanation:

1/2 * 2/3

We are multiplying 2/3 by a number smaller than 1

1/2 is smaller than 1

The number that we get out will be smaller than the number we started with

1/2 *2/3 < 2/3

Answer:

No

Step-by-step explanation:

No, half of (2/3) is SMALLER than (2/3).

Charlene has a monthly salary of $3,410. With her present budget, Charlene has a net income that is 7% of her monthly salary. Charlene is going to reduce her net income by $125 each month and put this money towards paying down her debt. What will Charlene’s new net income be?

Answers

Answer:

A. $113.70

Step-by-step explanation:

The new net income of Charlene is $113.7 if Charlene has a monthly salary of $3,410. With her present budget, Charlene has a net income that is 7% of her monthly salary.

What is debt?

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.

Charlene net income = 7% of her monthly salary

Charlene net income = 3410(7/100) = $238.7

After paying the $125 from the net income:

= 238.7 - 125

= $113.7

Thus, the new net income of Charlene is $113.7 if Charlene has a monthly salary of $3,410. With her present budget, Charlene has a net income that is 7% of her monthly salary.

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Find the scale factor of a cube with volume 216 ft^3 to a cube with volume 1000 ft^3.

Answers

Answer:

Scale factor of  cube to the smaller cube is 5 : 3.

Step-by-step explanation:

Ratio of the volumes of two cubes = [tex]\frac{\text{volume of large prism}}{\text{Volume of small prism}}[/tex]

                                                          = [tex]\frac{1000}{216}[/tex]

                                                          = [tex]\frac{125}{27}[/tex]

Scale factor of these cubes = [tex]\sqrt[3]{\text{ratio of the volumes of the cubes}}[/tex]

                                              = [tex]\sqrt[3]{\frac{\text{volume of large prism}}{\text{Volume of small prism}}}[/tex]

                                              = [tex]\sqrt[3]{\frac{125}{27} }[/tex]

                                              = [tex]\frac{5}{3}[/tex]

                                              = 5 : 3

Therefore, scale factor of  cube to the smaller cube is 5 : 3.

If the nucleus of an atom contains 12 protons, how many electrons are there in a neutral atom?

Answers

Answer:

An atom of sodium has 11 proton, 11 electrons, and 12 neutrons.

Answer

[tex]12[/tex]

Step by step explanation

[tex]protons = electrons \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 12 = 12[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Give f(x) = 5x + 7, what is the value of f(12)?

Answers

Answer:

The 12th Term is 67.

Solve and graph the inequality 4x – 10 < 18.

Which of the following are true about the graph of the solution? Check all that apply.
The graph has an open circle at 2.
The graph has a closed circle at 2.
The graph has an open circle at 7.
The graph has a closed circle at 7.
The arrow points left.
The arrow points right.

Answers

9514 1404 393

Answer:

The graph has an open circle at 7.The arrow points left.

Step-by-step explanation:

Adding 10 and dividing by 4, we have ...

  4x < 28

  x < 7

The comparison does not include the "equal to" case, so the circle at x=7 is open. Values of x less than 7 are in the solution set. Those values are found to the left of 7 on the number line.

The graph has an open circle at 7.The arrow points left.

Answer:

C. The graph has an open circle at 7.

and

E.The arrow points left.

Step-by-step explanation:

i took the quiz and got it right

Find the cordinates of point A.
Find the cordinates of point C.
Plot point B.
plzz helppp

Answers

Answer:

A=(1,4) B=(-3,4) C=(-3,-1)

Step-by-step explanation: Point B will be plotted in the top left box. You start at 0 and go to your left 3 boxes then you go up one box.

what s the length of the arc for the half circle

Answers

Answer`Step-by-step explanation:

The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:

Hope that help, at least a bit.

i need help on math please !!

Answers

Answer:

B. This because the power 7 will be multiplied to the powers of 3 and 5

Please Help
What are the domain and range of the function? f(x)=3/5x^5
Domain: (−∞, 0)∪ (0, ∞) Range: (0, ∞)
Domain: (−∞, 0)∪ (0, ∞) Range: (−∞, 0)
Domain: (−∞, ∞) Range: ​(−∞, 0)​
Domain: ​(−∞, 0)∪ (0, ∞)​ Range: (−∞, 0)∪ (0, ∞)

Answers

Answer:

Domain: ​(−∞, 0) ∪ (0, ∞)​; Range: (−∞, 0) ∪ (0, ∞)

Step-by-step explanation:

See attachment.

We want to find the domain and range of the function [tex]f(x)=\frac{3}{5} x^5[/tex].

The domain is the set of all possible x-values that are included in the function, while the range is the set of all possible y-values that are included in the function.

Look at the graph.

We can see that the x-values can go into infinity except when approaching the line x = 0. Here, the function will never touch x = 0 because that would make the graph undefined. So, we can say that the domain is all real numbers except for x = 0, or ​(−∞, 0) ∪ (0, ∞).

It's the same thing with the y-values. Although it looks like the line is touching the y-axis, or the line y = 0, the graph actually is not - it's just going really close to it. So, the range is again ​(−∞, 0) ∪ (0, ∞).

Thus, the answer is D.

Answer:

Last one

Domain: ​(−∞, 0)∪ (0, ∞)​ Range: (−∞, 0)∪ (0, ∞)

Step-by-step explanation:

f(x) = 3/(5x⁵)

Since x is in the denominator, x can not be 0

Domain: all real values of x except 0

For y = 0, x has to be infinite therefore y can not be 0

Range: all real values except 0

Please help meee!!! I'll give brainliest

Answers

Answer:

3/10

Step-by-step explanation:

Out of 20 draws, 6 of them were pink balls. 6/20 simplifies to an experimental probability of 3/10, or answer choice C. Hope this helps!

Two number cubes are rolled sequentially. What is the probability that the first number cube shows a Four and the second number cube shows an odd number?

Answers

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

This is an independent event probability problem , that is the first event does not affect the occurrence of the second event.

The sample space of the first die is S1= {1,2,3,4,5,6}

The sample space of the second die is S2= {1,2,3,4,5,6}

1. the probability that the first number cube shows a Four  pr (4)= [tex]\frac{1}{6}[/tex]

2. the probability that the second number cube shows an odd number=

odd numbers in the sample space are 1,3,5= 3

pr(odd) [tex]= \frac{3}{6} = \frac{1}{2}[/tex]

For the two event to happen the probability is = [tex]\frac{1}{6}*\frac{1}{2}=\frac{1}{12}[/tex]

Select the correct answer. Lisa creates a scatter plot of the number of minutes she runs on the treadmill and the calories she burns. About how many more calories does she burn for every additional 5 minutes on the treadmill? A. 10 B. 25 C. 50 D. 100

Answers

Answer:

Option: C 50

Step-by-step explanation:

the scatter plot shows an increase of about 50

Answer:

50 :)

I know its a lot the hair the bod, when ur starin at a demi god, what can i say except ur welcome

a circular garden is surrounded by a rectangular grassy area. the garden takes up nearly half the grassy area. the base of the grassy area is 6 yards by 3 yards.

use the base of the grassy areas to find the approximate area of the circular garden. use pi =3.14. if necessary, round to the nearest tenth.

-4.7 yd
-7.1 yd
-9.4 yd
-28.3 yd

Answers

Answer:

B 7.1 yd

Step-by-step explanation:

The approximate area of the circular garden is 7.1 square yards. Therefore, option B is the correct answer.

What is area?

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, the base of the rectangular grassy area is 6 yards by 3 yards.

A circular garden is surrounded by a rectangular grassy area.

Here, diameter of a circular garden is 3 yards and the radius is 1.5 yards.

We know that, area of a circle is πr²

The area of circular garden is 3.14×1.5²

= 3.14×2.25

= 7.065

≈ 7.1 square yards

Therefore, option B is the correct answer.

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Can you please help me with the problems shown, and please show the work

Answers

Answer:

hope this helps you

...............

Samuel earned $18.90 working last weekend. He worked for 2 1/4 hours. Which equation and solution represents e, the amount Samuel earns each hour at his job?


A. 18.90 = 2.25e

Samuel earns $42.53 per hour.


B. 2.25 = 18.90e

Samuel earns $8.40 per hour.


C. 2.25 = 18.90e

Samuel earns $42.53 per hour.


D. 18.90 = 2.25e

Samuel earns $8.40 per hour.

Answers

Answer:

D

Step-by-step explanation:

In this question, we are to select which of the options represents the the amount earned working per hour last weekend by Samuel.

To get this, all we need to do is to divide the amount of money earned by the total

number of hours worked.

mathematically that is 18.9/2.25

Kindly note that 2 1/4 is same as 2.25

Dividing the above, we have 8.4

Hence , Samuel earned 8.40 per hour working last weekend

The option that best describes this is 18.90 = 2.25e

When you are finding the area of a shape.
why do you square the units?

Answers

Answer:

Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches.

Step-by-step explanation:

Mandy built a pyramid for her project on Egypt with a volume of 483 4 in.3 Find the area of the base of the pyramid. Check all that apply. A pyramid with height 6 inches. Use the formula V = one-third B h to solve the problem. The volume of the pyramid is 48 and three-fourths in.3 The height of the pyramid is 6 inches. Substitute the values for V and h into the formula, and then solve for B. The area of the base of the pyramid is 8 and StartFraction 1 over 8 EndFraction in.2 The area of the base of the pyramid is 24 and StartFraction 3 over 8 EndFraction in.2

Answers

Answer:

- Substitute the values for V and h into the formula, and then solve for

- The area of the base of the pyramid is 24 and StartFraction 3 over 8 EndFraction in.2

Step-by-step explanation:

Given the volume of the pyramid = 1/3 Bh

B is the area of the base

h is height

Given Volume = 48 3/4in³

Height = 6in

Step 1:

Substituting the value of Volume and height into the equation to get the Base area B we have;

48 3/4 = 1/3 × B × 6

2B = 195/4

B = 195/8

B = 24 3/8 in²

The base area of the pyramid is

24 3/8 in²

Answer:

A B C D F

Step-by-step explanation:

Use the formula V = one-third B h to solve the problem. The volume of the pyramid is 48 and three-fourths in.3 The height of the pyramid is 6 inches.Substitute the values for V and h into the formula, and then solve for B

   6.The area of the base of the pyramid is 24 and StartFraction 3 over 8 EndFraction in.2

took the Instruction on edge 2021

A bag contains 4 red marbles, 3 white marbles, and 7 blue marbles. You pick a marble without looking. What is the probability of drawing a white marble.

Answers

Answer:

3/14

Step-by-step explanation:

You add all the marbles to get your total/denominator then take the white marbles and that is the numorator.

A triangle has a base of 4 units and a height of 3 units. Mark draws the triangle again but
doubles the height. How does the area of the triangle change?
The area increases by 3 square units.
The area increases by 6 square units.
The area increases by 12 square units.
The area does not change.

Answers

Answer:

The area increases by 6 square units.

Step-by-step explanation:

The original  area of triangle

A = 1/2 bh

a = 1/2 (4)*3

6 square units

Now we double the height

A = 1/2 (4) *6

A = 12 square units

The difference is 12-6 = 6  square units

Answer:

Second option: The area increases by 6 square units.

Step-by-step explanation:

A1 = ½ × 4 × 3 = 6 units²

A2 = ½ × 4 × 2(3) = 12 units²

Increase: 12 - 6 = 6 units²

Which of these triangle pairs can be mapped to each other using both a translation and a rotation about C?

Triangles X Y C and A B C are shown. Both triangles are congruent and share common point C. Triangle A B C is slightly lower than triangle X Y C.
Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is identical to triangle A B C but is slightly higher.
Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is reflected across a line to form triangle A B C.
Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is rotated down and to the left to form triangle A B C. It is also slightly higher than triangle A B C.

Answers

Answer:

Its D

Step-by-step explanation:

Took the test.

Based on the information given regarding the triangle, the triangle pairs can be mapped to each other will be D. Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is rotated down and to the left to form triangle A B C. It is also slightly higher than triangle A B C.

Solving the triangles.

It should be noted that a translation is a slide, and this implies that the function has the same shape graphically, but on the other hand, the graph of the function slides to a different position on the coordinate plane.

In this case, the triangle pairs can be mapped to each other using both a translation and a rotation about C. Therefore, the correct option is D.

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A bag contains 3 blue cards, 8 green cards, 12 red cards, and 4 yellow cards. You randomly choose a card.

Answers

Answer:

3/27 for blue 8/27 green and 4/ 27 yellow for red its 12/27 to find the percent divide both numbers the smaller first  

Step-by-step explanation:

Please help me I don't understand this question.

Answers

Answer:

206°

I realise that I didn't do it the easiest way. :(

Step-by-step explanation:

So first find angle XCY.

XCY = 180 - 72 - 26 = 82°

Then you can see that angle WCR is 154° because of vertical angles.

Arc RW is 154° too because WCR is a central angle.

Arc ZW is 26° because WCX is a central angle.

All we have to find now is angle ZCR.

You can see that ZCR and XCW are vertical angles.

ZCR = 26°

Arc ZR is also 26° because ZCR is a central angle.

154° + 26° + 26° = 206°

find the distance from point A to the given line
A(3,4), y=x

Answers

Answer:

Square root of 13

Step-by-step explanation:

If y=x, that means that we can use any coordinates as long as it is true. I will use (1,1)

The distance formula is the square root of (x2-x1)^2+(y2-y1)^2

(3-1)^2=4

(4-1)^2=9

4+9=13

=Square root of 13

PLEASE HELP!!!!!!!!!!!!!!

Answers

Answer: A - one solution, B - Infinite solutions, C - no solutions

Step-by-step explanation:

Solutions of linear equations are any points at which both lines intersect. The point of intersection provides a point that lies on both lines and satisfies both equations - hence why it is called a "solution" to the system of equations.

In the first diagram, the lines intersect once. There is only one solution to this system of equations at (2, 4).

In the second diagram, the lines are identical. They intersect for any possible value, meaning it has infinite solutions.

In the third diagram, the lines are parallel. They will stretch to infinity without ever intersecting each other, so this system has no solution.

Tia performed an experiment where she flipped a coin 200 times. The coin landed heads up 92 times and tails up 108 times. Which statement about this experiment is true?

Answers

Question:

Tia performed an experiment where she flipped a coin 200 times. The coin landed heads up 92 times and tails up 108 times. Which statement about this experiment is true?

A) The ratio 92/200 represents the experimental probability of the coin landing heads up in this experiment.

B) The ratio 92/200 represents the number of trials in this experiment.

C) The ratio 92/100 represents the theoretical probability of the coin landing heads up in this experiment.

D) The ratio 92/100 represents the number of occurrences of the coin landing heads up in this experiment.

Answer:

A) The ratio 92/200 represents the experimental probability of the coin landing heads up in this experiment.

Step-by-step explanation:

Given that the number of times, n, Tia flipped a coin is 200 times, heads and tails landed 92 and 108 times respectively.

ie, n = 200

E(Head) = 92

E(Tail) = 108

Let's calculate the following probabilities:

Probability the coin landed heads =

P(H) = [tex] \frac{num of heads}{total num} = \frac{92}{200} = 0.46 [/tex]

Probability the coin landed tails =

P(H) = [tex] \frac{num of tailss}{total num} = \frac{108}{200} = 0.54 [/tex]

Here, the experimental probability of an event can be derived using:

Number of favourable events / total number.

The expermental probability of the coin landing heads up would be:

Number of heads / total number

[tex] = \frac{92}{200} [/tex]

Therefore the correct option is option A.

The ratio 92/200 represents the experimental probability of the coin landing heads up in this experiment.

Answer:

A is the answer

Step-by-step explanation:

Please mark brainiest please

0.3r = 2.1
A r = 0.7
B r = 1.8
C r = 7
D r = 18

Answers

Answer:

C

Step-by-step explanation:

Identify the numerical coefficient of the terms (other than the constants) in the following expressions. (a)5x - 6 (b) 6-4g2 (c) 2x2+4y3 (d) -29y3+0ꓸ1z-3.14

Answers

Answer:

HELP YOU NOY

Step-by-stHEep explanation:

bfbfbbgbrhgbrbg

Find the surface area

Answers

Answer:

1,736 square units

Step-by-step explanation:

To find the surface area, you must first find the area of all the faces, then add them all together. For this figure, you must find the area of two triangles, and three different rectangles.

Starting with the triangles, you can find the area using the equation: a=1/2bh. This gets 84 as the area of one triangle. Because you have two, you can multiply this area by two in order to get the area of both triangles. That value is 168.

Now, find the area of the bottom rectangle. Its dimensions are 24x28, and you can find the area of any rectangle by multiplying its base by its height. This area is 672.

The back rectangle's dimensions are 28x7, which equals 196.

The top rectangle is most difficult, as you must use the pythagorean theorem to find one of its side lengths: a^2 + b^2 = c^2. Its dimensions are 25x28, which equals 700.

Now add all those areas together to get the total surface area, or 1,736.

Answer: 1,736

Explaination:

need help pleeassseeee !!

Answers

Answer: 5

Step-by-step explanation: f(3) = 2x - 1

substitute the x with 3. 2(3)-1

6-1

5

Answer:

The answer is 5, hope you like!

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