What rule(function) does the table below represents?

What Rule(function) Does The Table Below Represents?

Answers

Answer 1

Answer:

The function that represents the table is [tex]f(x) = 15\cdot 2^{x+1}[/tex].

Step-by-step explanation:

The table represents the following rule: A function whose initial values are [tex]x = -1[/tex] and [tex]f(x) = 15[/tex], as for each increase of the input by -1, the output is doubled. Mathematically speaking, we construct the following geometric progression:

[tex]f(x) = a_{o}\cdot 2^{x-x_{o}}[/tex] (1)

Where:

[tex]a_{o}[/tex] - Initial output.

[tex]x_{o}[/tex] - Initial input.

[tex]x[/tex] - Input

[tex]f(x)[/tex] - Output

If we know that [tex]a_{o} = 15[/tex] and [tex]x_{o} = -1[/tex], then the function that represents the table is:

[tex]f(x) = 15\cdot 2^{x+1}[/tex]


Related Questions

Rehana has some money after she spend Rs15 she has Three quarter of the initial amount left the amount left is

Answers

Answer:

Amount left = Rs 45

Step-by-step explanation:

Let the initial amount be x.

Translating the word problem into an algebraic expression, we have;

[tex] x - 15 = \frac {3}{4} * x [/tex]

[tex] x - 15 = \frac {3x}{4} [/tex]

Cross-multiplying, we have;

[tex] 4(x - 15) = 3x [/tex]

[tex] 4x - 60 = 3x [/tex]

Rearranging the equation (collecting like terms), we have;

[tex] 4x - 3x = 60 [/tex]

x = Rs 60

Next, we find the amount left;

Amount left = 60 - 15

Amount left = Rs 45

Find the surface area for the following figures PLease help

Answers

Answer:

RP=190

TP=136

C=1,099

Step-by-step explanation:

RECTANGULAR PRISM, the equation is A=2(wl+hl+hw)

A=5*5+7*5+7*5

A=25+35+35

A=95*2

A=190

TRIANGULAR PRISM, the equation is A=1/2bh for the top and bottom triangles and A=lw for the sides

A=1/2(6)(4)

A=1/2*24

A=12

A=7*5

A=35

A=7*6

A=42

12*2=24

35*2=70

24+70+42=136

CYLINDER, the equation is A=2πrh+2πr2

A=2*3.14(7)(18)+2*3.14(7)^2

A=6.28*126+6.28*49

A=791.28+307.72

A=1,099


Find the circumference of the circle.

Answers

Answer:

2pie R so it would be 15.7

PLEASE ANSWER QUICKLY

Answers

Answer:

60 - 40 = 20

20

Step-by-step explanation:

59.15 - 41.81 = 17.34

17.34 ≈ 20

it is 60 when you estimate it

The planet Neptune orbits the Sun. Its orbital radius is 30.1 30.130, point, 1 astronomical units ( AU ) (AU)left parenthesis, start text, A, U, end text, right parenthesis. Assuming Neptune's orbit is circular, what is the distance it travels in a single orbit around the Sun? Give your answer in terms of π

Answers

adius is 30.1 astronomical units (AU). assuming neptunes orbit is circular, ... The distance it travels in a single orbit around the sun is ... Its orbital radius is 30.130.130, point, 1 astronomical units (\text{AU})(AU)left parenthesis, start text, A, U, end text, right parenthesis.

Answer:

60.20 pi

Step-by-step explanation:

to find curicumfrance with raidus all u have to do is multiply 30.1 ( the radius ) by 2 to get the curicumfrance

30.1*2 = 60.20

then u would multifply 60.20 by 3.14 ( pi) but in this case we can just put the pi

so the answer is 60.20 pi

-Hope this helps

plz mark brainlyest, rate and thank me

Which of the following is equal to tan O using coordinates on the unit circle?
A) y/x

B) y

C) x/y

D) x

Answers

Answer:

A) y/x

Step-by-step explanation:

_____________________

A geometric sequence has the terms with values a5=58 and a10 = 440.4375.
Part A: Determine what the common ratio is.

Answers

Answer:

1.5

Step-by-step explanation:

58(r)^5 = 440.4375

r^5 = 440.4375 / 58

r^5 = 7.59375

r = 1.5

1. Sandra just opened up her own pie shop. She makes $38 on every pie that.
she sells and her monthly expenses are $850. How many pies does Sandra nded to
sell this month so that she can earn a total of $100 after she pays her monthly
expenses?

Answers

Answer:

25

Step-by-step explanation:

If you take the 100+850= 950 then you take that because that is the expenses and what she wants to make you will then divide 950/38=25 so sandra will need to sell 25 pie in order to cover the monthly cost and what she wants to earn.

Answer:

25 pies

850 + 100 = $950

So Sandra needs $950 in total.

If you divide 950 by 38 (how much a pie costs) then you get 25.

hope this helps :)

Can someone help me with this please ??

Answers

Answer:

1. x= 16,7

2. x= 8,7

Step-by-step explanation:

Use pythagoras..

r² = x² + y²

c² = a² + b²

hypothesis² = side² + side²

1. c² = a² + b²

x² = 14² + 9²

x² = 196 + 81

x² = 277

x = square root of 277

x = 16,64

2. c²= a² + b²

10²= x² + 5²

100 = x² + 25

100 - 25 = x²

75 = x²

x = square root of 75

x = 5/3 = 8,66

help me plzz sorry for asking this much ​

Answers

Answer: the answer is D. this took sometime but if you find another question like this solve it like this|

Step-by-step explanation: if you're already given the perimeter then that is the area so how to find the lengths if you're given the width is to multiply or divide! if you're using multiplication then use the width to divide so let's say you're area (perimeter) is 32! that means if you're given 4cm as the lengths then you have to use table knowledge  to find the width now if we know the 4x table then that means there is 8 x 4=32 so that means that the width is 8 thats an example!

Which equation can be used to find mArc M N? mArc M N + 150 = 180 mArc M N + 150 = 360 mArc M N – 150 = 180 mArc M N – 150 = 360

Answers

Answer:

A: mArc M N + 150 = 180

Step-by-step explanation:

on edge2021!! hope this helps!!~

I had 150 pencils at the start of the year. I now only have 120 pencils. What
is the percent of change in the number of pencils? *

* 20 % increase
* 25 % increase
* 20 % decrease
* 25 % decrease

Answers

20% decrease Z z. Z xx. X

The perimeter of a rectangle is 35 cm. The rectangle's area (in sq. cm) as a function of its length (in cm) is graphed.

What is the approximate average rate at which the area decreases, as the rectangle's length goes from 13 cm to 16 cm?


Options:
1: 10 1/3
2: 10 2/3
3: 11
4: 11 1/3

Answers

Answer:

2

What is the extract trying to achieve? in The Explorer’s Daughter

What's the degree of x^2+9x-8

Answers

Answer:

2

Step-by-step explanation:

The degree of a function is the highest power any single term is raised to.

x^2 is the term that has the highest degree, so in this case, the degree is 2.

For example; in x^5-x^4-3x^3; the degree would be 5 because the highest power x is raised to is 5.

Solve
1 . 10(d+2)
0.25. Show your reasoning.

Answers

10d+20 10xd=10d 10x2=20

quick math help pls!

Answers

Answer:

half of 45.7 is 22.85

22.85^2 = 522.1225

522.1225 x pi

Meaning

522.1225π, A

Answer:

[tex]522.12\pi[/tex] inches²

Step-by-step explanation:

The formula for finding the area of a circle is:

[tex]A=\pi r^2[/tex]

If you put 45.7/2 (because you have the diameter and NOT the radius) instead of r you get:

[tex]A=22.85^2\pi[/tex]

Now you calculate:

[tex]A=522.12\pi \\[/tex] inches²

What is the length of CD?
Round to one decimal place.

C
5.6
4
A
B
D
5.1

Answers

Answer:

CD = 4.4

Step-by-step explanation:

AD bisects <CAB into two equal angles. Therefore, based in the angle bisector theorem, the segments are proportional to each other. This implies that:

CD/CA = DB/AB

CD = ?

CA = 5.6

DB = 4

AB = 5.1

Therefore:

CD/5.6 = 4/5.1

Cross multiply

CD*5.1 = 4*5.6

CD*5.1 = 22.4

Divide both sides by 5.1

CD = 22.4/5.1

CD = 4.39215686

CD = 4.4 (1 decimal place)

subtract the sum of 5/9 and -2/9 from the sum of 7/12 and -5/12​

Answers

[tex] [\frac{7}{12} + ( - \frac{5}{12} )] -[ \frac{5}{9} + ( - \frac{2}{9} )] \\ \\ = [ \frac{7}{12} - \frac{5}{12} ] - [ \frac{5}{9} - \frac{2}{9} ] \\ \\ = [ \frac{7 - 5}{12} ] - [ \frac{5 - 2}{9} ] \\ \\ = \frac{2}{12} - \frac{3}{9} \\ \\ = \cancel \frac{2}{12} - \cancel \frac{3}{9} \\ \\ = \frac{1}{6} - \frac{1}{3} \\ \\ = \frac{1 - 2}{6} \\ \\ = - \frac{1}{6} [/tex]

Hope This Helps You ❤️

Answer:

         [tex]\frac{-1}{6}[/tex]

Step-by-step explanation:

[tex]Sum \ of \ \ \frac{5}{9} \ and \ \frac{-2}{9} =\frac{5}{9} + \frac{-2}{9} = \frac{5-2}{9} = \frac {3}{9} = \frac{1}{3}[/tex]

[tex]Sum \ of \ \frac{7}{12} \ and \ \frac{-5}{12} = \frac{7}{12} \ + \ \frac{-5}{12} = \frac{7-5}{12} = \frac{2}{12} = \frac{1}{6}[/tex]

[tex]subtract \ first \ from \ second = \frac{1}{6} - \frac{1}{3} = \frac{1 -2}{6} = \frac{-1}{6}[/tex]

Mr. Fox organizes a field trip to a museum. He orders 52 student tickets and 2 adult tickets. The cost of a student ticket is s and the cost of an adult ticket is a. The tickets Mr. Fox orders are for the students and teachers from 2 classes that he is taking to the museum. Each class pays for the same number of student tickets and each class pays for the same number of adult tickets. Write 52s + 2a as the product of the number of classes and the total cost per class. Use the number pad, a, and s to enter your answers in the boxes.
PLEASE DO NOT SEND ANY FAKE LINKS
thank you​

Answers

Answer:

52·s + 2·a = [2] × ([26·s] + [a])

Step-by-step explanation:

The number of classes Mr. Fox  takes to the museum = 2 classes

The number of tickets Mr. Fox orders = The number of students and teachers in the two classes

The number of students paid for by one of the classes = The number of students paid for by the other class

The number of adult paid for by one of the classes = The number of adult paid for by the other class

The expression for the total cost of the ticket is 52·s + 2·a

Let 'c' represent the total cost for each class

Therefore, given that each class pays for the same number of students and adults, we have;

2 × c = 52·s + 2·a

∴ c = (52·s + 2·a)/2 = 26·s + a

Therefore, given that we have 2 classes, we get;

52·s + 2·a = 2 × (26·s + a)

what is the vertex to the graph below

Answers

Answer:

[tex]y = 4 {ax}^{2} \\ by \: comparison \: with \: y = 1.5 {x}^{2} \\ 4a = 1.5 \\ a = \frac{1.5}{4} \\ a = \frac{3}{8} \\ vertex = \frac{3}{8} \: \: o r\: \: 0.375[/tex]

Answer:

(0,0)

Step-by-step explanation:

The vertex of the parabola is the minimum ( or maximum) point

Since this is an open upwards parabola, it is the minimum point

The minimum is (0,0) so that is the vertex

what is the answer of this question​

Answers

Answer:

i) [tex]2.2 * 10^{-7[/tex]

ii) [tex]6.4 * 10^{-5[/tex]

(i) 2.2 x 10^-7
(ii) 6.4 x 10^-5

Is this a function?
(2,3) (3,3) (4,3) (5,3)

Answers

Answer:

Step-by-step explanation:

Yes, it is, because the inputs {2, 3, 4, 5} are all different.

can you please help me to understand the pythagorean theorem, and Trigonometry . i don't really understand it

Answers

Answer:

The Pythagoras theorem has three places namely; hypotenus, adjacent, and opposite

Answer:

Step-by-step explanation:

Pythagorean theorem will be applied to right triangles. The formula is a^2+b^2=c^2 where a and b represent the legs of the truss de c is the hypotenuse. Now let’s say I had a leg that was 4 inches and a second leg that was 8 inches. I would then have to try and find the hypotenuse. So plug it into the equation

4^2+8^2=c^2

Now 4 to the power of 2 is 16 and 8 is 64

16+64=c (note we got ride of the ^2 for the c)

So 80=c

Now what we want to do is take the square root of 80 since our c needs to be rooted. So the square root of 80 would be your answer.

Hope this helps

Find l.
I= [?] ft
9 ft
4 ft
PLEASE PLEASE HELP MEEEEEE IM DESPERATE

Answers

Answer:

[tex]\sqrt{85}[/tex] ft

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side in any right triangle,

Essentially, look at it as if it was flat.

a is half of the diameter, so 2 ft.

b is your height, 9ft

[tex]a^{2} +b^{2} =c^{2} \\2^{2} +9^{2} =c^{2} \\4+81= c^{2}\\\sqrt{85}=c[/tex]

For a standard normal distribution, find the approximate value of P (-0.78 < z < 1.16). Use the portion of the standard normal table below to help answer the question.
A. 22%
B. 66%
C. 78%
D. 88%

Answers

Answer:

B: 66%

Step-by-step explanation:

0.835 - 0.423
Answers
¥
¥
0.512
0.412
0.402
0.418

Answers

Answer:

B. [tex]0.412[/tex]

Step-by-step explanation:

[tex]0.512 + 0.423 = 0.935[/tex]

[tex]0.402+ 0.423 = 0.825[/tex]

[tex]0.418+0.412 =0.83[/tex]

[tex]0.412+ 0.423 = 0.835[/tex]

If a certain object has a density of 223 g/cm3 and a mass of 26 grams
Determine the volume, in cm3, of the object.

Answers

Answer:

0.11659...cm3

Step-by-step explanation:

To find volume you would have to plug it in the formula Volume= Mass / density so if we plug it in it will be, X(volume): 26(mass)/223(density) you will get 0.11659...cm3

WILL GIVE BRAINLIEST.

Use the Pythagorean identity and tangent identity to find Tanθ if sinθ= -1 and 0 ≤θ<2π radians. (ie. find all tanθ on the unit circle when sinθ= -1).

Answers

Answer:

[tex]\tan(\theta) =[/tex] undefined

Step-by-step explanation:

Given

[tex]\sin(\theta) = -1[/tex]

Required

Determine [tex]\tan(\theta)[/tex]

We know that:

[tex]\sin^2(\theta) + \cos^2(\theta) = 1[/tex]

This gives:

[tex](-1)^2 + \cos^2(\theta) = 1[/tex]

[tex]1 + \cos^2(\theta) = 1[/tex]

Collect like terms

[tex]\cos^2(\theta) = 1 -1[/tex]

[tex]\cos^2(\theta) = 0[/tex]

Take square roots

[tex]\cos(\theta) = \sqrt 0[/tex]

[tex]\cos(\theta) = 0[/tex]

By tan identity

[tex]\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}[/tex]

[tex]\tan(\theta) = \frac{-1}{0}[/tex]

[tex]\tan(\theta) =[/tex] undefined

12 inches
What is the circumference of the above circle? Use t = 3.14
inches (do not round your answer)

Answers

Answer:

37.68

Step-by-step explanation:

D=12

PI=3.14

C=(D)(PI)

C=(12)(3.14)

C=37.68

A bag contains 4 red, 11 green, and 5 blue balls. The balls are identical in size. A call is drawn at random. What is the probability of the ball being red

Answers

Answer:

/////////////////////////////////////////////

Step-by-step explanation:

////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////lalks

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