Write the exponential function.

Write The Exponential Function.

Answers

Answer 1

Answer:

[tex]f(x) = 10*(b)^x[/tex]

Step-by-step explanation:

exponential function : [tex]y=a*(b)^x[/tex]

where a = y intercept and b = factor ( what you multiply by )

looking at the table the y intercept is at (0,10) so a = 10

so we now have y = 10 * (b)^x

to find the factor we simply plug in one of the ordered pairs.

note that the ordered pair chosen does not effect the outcome

i chose (2,250)

we have y = 10 * (b)^x

(x,y) = (2,250)

250 = 10 * (b)^2

divide both sides by 10

25 = b^2

take the square root of both sides

5 = b

the final equation would be f(x) = 10 * (b)^x


Related Questions

Tara has 4/5 kg of beads. She shares the beads evenly between 3 friends.

How many kilograms does each friend receive?

Answers

Answer:

[tex]\frac{4}{15}[/tex] kilograms

Step-by-step explanation:

  We will take the total amount of beads and divide it by 3, since there are 3 friends.

[tex]\frac{4}{5}[/tex] kg / 3

[tex]\frac{4}{5}[/tex] kg * [tex]\frac{1}{3}[/tex]

[tex]\frac{4*1}{5*3}[/tex]

[tex]\frac{4}{15}[/tex] kg

Each friend recieves [tex]\frac{4}{15}[/tex] kilograms of the beads.

Can the side lengths of 7, 10, and 9 form a triangle?

Answers

Answer: Yes a triangle can be formed.

========================================================

Explanation:

Add the first two sides to get 7+10 = 17 which is larger than the third side (9)Add the first and last sides to get 7+9 = 16 which is larger than the second side (10)Add the last two sides to get 10+9 = 19 which is larger than the first side (7)

As that list above shows, adding any two sides results in a sum larger than the third remaining side. The conditions of the triangle inequality theorem have been met to allow for a triangle to be formed.

In general the triangle inequality theorem is:

a+b > ca+c > bb+c > a

The order doesn't matter. All that's important is that all three conditions are met.

Mila built a wooden toy bin with a lid to sell in her store. The bin is shaped like a rectangular prism and measures 2 feet long,1 foot wide,and 2 feet deep. To make the wood darker,she stained the outside of the toy bin including the top of the lid and the bottom of the bin. What is the area that mila stained?

Answers

The rectangular prism having a length of 1 feet, width of 2 feet and that

is 1 feet deep, gives the area Mila stained as 8 square feet.

How can the area that Mila stained be found?

The given dimensions of the rectangular prism bin are;

Length of the bin = 2 foot

Width of the bin = 1 feet

Depth of the bin = 2 feet

Required:

The surface area of the rectangular prism bin.

Solution:

The surface area, S. A., of the rectangular prism bin is given as follows;

S. A. = Length × Width + Depth × Width + Length × Depth

Which gives;

S. A. = 2 × 1 + 2 × 1 + 2 × 2 = 8

The surface of area Mila stained, S. A. = 8 ft.²

Learn more about surface area of a rectangular prism here:

https://brainly.com/question/987829

suppose you've noticed that your score is to the left of your friend's when placed on a normal distribution. This means that your score is ______________ than her score.

Answers

Answer:

This means that your score is lower than her score.

A teacher administers a standardized math test to his class of 75 students. The mean score (out of 300 possible points) is 235. From previous studies, you know the population standard deviation is 28.
a) Using the sample data given, calculate a 95% confidence interval for the population mean.
b) Based on this confidence interval would you agree that the true population mean is under 239? Explain. x=235

Answers

Answer: (228.7, 241.3)

Step-by-step explanation:

Area of a circle. Please help!

Answers

Answer:

[tex]A = 50.24[/tex] Sq. M.

Step-by-step explanation:

Formula: [tex]A = \pi r^{2}[/tex]

[tex]A = \pi (4)^{2}[/tex]

[tex]A = 16\pi[/tex]

[tex]A = 16 (3.14)[/tex]

[tex]A = 50.24[/tex] Square Meters

Student Guide (continued)
1) Using the regression calculator in your tool bar, create a scatterplot using your data set from step
1. Insert a screenshot of your scatterplot, or recreate it below.
The photo shows the 10 students I chose please Help!

Answers

so the scatterplot will more or less look like the one in the picture below.

The pool already has 12 gallons of water, and he wants to fill it to at least 27 gallons. The water flows at a rate of 6 gallons per minute. How many minutes, x, will it take for Eric to fill the pool with at least 27 gallons of water?

Answers

Answer:

6x + 12 = 27

x = minutes

x = 2.5 minutes to fill the pool

The sum of 4/5 and 1/10 is closer to 1/2 than to 1

Answers

False. The sum would be 9/10 which is closer to 1

What is the difference between the number of solutions for a two-step equation and
for a two-step inequality

Answers

Answer:

The difference between a two step equation and a inequality equation is that two step equation you can isolate the variable and get the answer. However in a inequality equation you can only compare, for example A > 7

Step-by-step explanation:

A inequality compares not giving a clear answer. A two step equation lets you find a clear answer.

which choices are equivalent to the expression below √16 • √9

Answers

Answer:

12

Step-by-step explanation:

=> √16 • √9

=> Take square roots

=> 4 • 3

=> 12

35+34





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69

Answers

69 (x_x) (x_x) (x_x) (x_x) (x_x) (x_x) (x_x) (x_x) (x_x)

What is the sum of 547+31321? Enter your answer in the box as a mixed number in simplest form.

Answers

The answer would be 31,895


Determine the area and perimeter and show your work please??

Answers

I don’t know I am sorry

pls help meeeeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

(x,y)→(-y,x)

E'(1,1)

C'(1,4)

D'(4,4)

A cylinder has a height of 20 centimeters and a radius of 11 centimeters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

7598.8 [tex]cm^{2}[/tex]

Step-by-step explanation:

v (volume) = π[tex]r^{2}[/tex]h

v = 3.14 x [tex]11^{2}[/tex] x 20

v = 3.14 x 121 x 20

v = 7598.8

Answer:

7598.8 cm³

Step-by-step explanation:

Given :-

height = 20 cm

radius = 11 cm

value of π = 3.14

Formula to be used :-

Volume of cylinder = πr²h

Inputting the values :-

V = 3.14 x 11 x 11 x 20

= 3.14 x 121 x 20

= 3.14 x 2420

= 7598.8 cm³

For the following system a) What is the value of x? b ) What is the value of y ?

Answers

Answer:

x = 12

y = -23

Step-by-step explanation:

to solve for this i think we have to do:

   y = -3x + 13

   -

   y = -2x + 1

-----------------------

   0 = -x + 12

-x = -12

x = 12

then i think.... i think you have to substitute to one of the equations

y = -3(12) + 13

y = -36 + 13

y = -23

then to check we substitute  to the second equation

-23 = -2(12) + 1 ?

-23 = -24 + 1?

-23 = -23

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE

Answers

Answer:

52 degrees

Step-by-step explanation:

<JRK and <GRO are vertical angles so that means that they have equal angle measures.

Find the missing side X round to the nearest hundredth

Answers

Answer:

x=5.5

Step-by-step explanation:

cos60=x/11

11cos60=x

x=5.5

Please help, I’ll mark your answer as brainliest.

Answers

Already answered here: https://brainly.com/question/26919792

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Vvghhvycgfxytdxchgcxutr

Answers

Answer:

WHAT IS YOUR QUESTION???

Answer:

WHAT IS YOUR QUESTION??!!!??!?

This is gibberish!!!

Will give Brainliest!!!!!

Determine the solution to the system of equations below. Explain your reasoning.

Answers

Determining the solution.

The solution(s) for the provided graph are (0, 6) and (6, 0)

What is a solution of a graph?

The solution of the system of equations is the intersection of the two equations.

Reasoning.

In the image provided, we can see two solutions (intersection points) that are intersected by a line and a circle.

Those two solutions are:

(0, 6) and (6, 0)


What is 45 divided by0.20

Answers

Answer:

I believe that would be 225.  (Hope that helps!)

Answer:225:)

Step-by-step explanation:

Two car rental companies have the following payment plans: Cart: $90 per week and 15c per kilometre Renta: $110 per week and 10c per kilometre What is the maximum whole number of kilometres that can be travelled in one week with Carz if it is to cost less than it would with Renta?​

Answers

Using linear function concepts, it is found that the maximum whole number of kilometres that can be travelled in one week with Carz if it is to cost less than it would with Renta is of 399.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

For each car, Cart and Renta, the linear functions are given by:

C(k) = 90 + 0.15k

R(k) = 110 + 0.1k

Cart will cost less than Renta if:

C(k) < R(k)

Hence:

90 + 0.15k < 110 + 0.5k

0.05k < 20

k < 400

Hence, the maximum whole number of kilometres that can be travelled in one week with Carz if it is to cost less than it would with Renta is of 399.

More can be learned about linear function concepts at https://brainly.com/question/24808124

given that x=6 and y= -4
3x + x over y - y^2

Answers

Step-by-step explanation:

x=6

y=-4

3x+x / y-y^2

3(6)+6/-4-(-4)^2

24/-20

= -1.2

Please solve this in subtraction method

Will give brainliest!!

Answers

Answer:

x= 0 and y=1

Step-by-step explanation:

1st multiply the first equation by 3

3 (3x-2y=2)

9x-6y=6

multiply the next equation by 2

2 (5x-3y=3)

10x-6y=6

subtract equation 1 from 2

(10x-6y)-(9x-6y)=6-6

10x-9x-6y+6y=0

x=0

put X in equation 1

3 (0)-2y=2

-2y=2

y=-1

so X and y are 0 and -1 respectively

Will 50$ be enough to buy 6 can of paint that cause $8. 95 dollars?

Answers

Answer:

6 cans • $8.95=53.7

wich means $50 is not enough to buy 6 cans of paint

the sum of two numbers is ten one number is five times the other

Answers

Answer:

let the other number be x.

then,X+5=10

X =10-5

X=5

Step-by-step explanation:

Math Questions about graph​

Answers

Answer:

  (i) gradient: 2/3

  (ii) equation: y -1 = 2/3(x +1)

  (iii) area: 10 square units

  (iv) length: 4.12 units

Step-by-step explanation:

The gradient of a line is found by using the slope formula with two points on the line. The length between points is found using the distance formula, which is based on the Pythagorean theorem. The equation of a line can be written in several forms. One is the point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

__

(i)

The points A and B can be used in the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (5 -1)/(5 -(-1)) = 4/6 = 2/3

The gradient of the line is 2/3.

__

(ii)

Using the found slope in the point-slope equation with point A, we find the equation of the line to be ...

  y -1 = 2/3(x +1)

__

(iii)

The area of a triangle is found from the formula ...

  A = 1/2bh . . . . . triangle with base b and height h

The base length will be the difference in x-coordinates of the horizontal segment AC: 4 -(-1) = 5.

The height will be the difference in y-coordinates from that horizontal segment and point B: 5 -1 = 4

Then the area of ABC is ...

  A = 1/2(5)(4) = 10 . . . . square units

The area of ΔABC is 10 square units.

__

(iv)

The length of BC is found from the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((5 -4)² +(5 -1)²) = √(1 +16) = √17

  d ≈ 4.12 . . . . units

The length of BC is about 4.12 units.

Expand: (7m2 + 2m)2.

Answers

Answer:

[tex]49m^{4} +28m^{3} +4m^{2}[/tex]  

Last Answer

Step-by-step explanation:

Answer:

[tex]49m {}^{4} + 28m {}^{3} + 4m {}^{2} [/tex]

explanation:

[tex]7m {}^{2} (7m {}^{2} + 2m) + 2m(7m {}^{2} + 2m) \\ \\ 49m {}^{4} + 14m {}^{3} + 14m {}^{3} + 4m {}^{2} \\ \\ 49m {}^{4} + 28m {}^{3} + 4m {}^{2} [/tex]l

]

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