Write an exponential function in the form y=ab^x that goes through points (0, 18)and (3, 6174)

Answers

Answer 1

Answer:

[tex]y = 18 \times {7}^{x} [/tex]

Step-by-step explanation:

Using the formula for exponential function,

[tex]y = ab {}^{x} [/tex]

Let plug in 0,18.

[tex]18 = ab {}^{0} [/tex]

Using the zero power rule,

[tex]b {}^{0} = 1[/tex]

[tex]18 = a \times 1[/tex]

[tex]a = 18[/tex]

Since a equal 18 let plug in what we know so far

[tex]y = {18b}^{x} [/tex]

Now let find b.

Let use the other point, 3,6174

[tex]6174 = {18b}^{3} [/tex]

Divide 18 by both sides and we get

[tex]343 = b {}^{3} [/tex]

Take the 3rd root of 343

[tex] \sqrt[3]{343} = b = 7[/tex]

b=7

The equation is

[tex]y = 18 \times 7 {}^{x} [/tex]


Related Questions

help with algebra please

Answers

Answer:

b = -0.79

Step-by-step explanation:

b+ 2.77 over -2 = -1.78

multiply -2 on both sides to get

b + 2.77 = -3.56

subtract 2.77 on both sides to get

b = -0.79

I'm not sure as I didn't work it out too well but I hope you got the idea

Question 1
18 pt
A Merry-Go-Round revolves 6 times per minute, Jack is 10 feet from the center
while Bob is 14 feet from the center. (calculator allowed)
Jack's linear speed is (Select ]
feet per minute.
V
Bob's linear speed is Select !
feet per minute.

Answers

Bob's linear speed is higher than Jack's because the radius of the circle

around which Bob rotates is larger.

Responses:

Jack's linear speed is approximately 377 feet per minuteBob's linear speed is approximately 527.8 feet per minute

What is the relationship between linear speed and angular speed?

Given:

The rotational speed of the merry go round = 6 revolution per minute

Jack's distance from the center = 10 feet

Bob's distance from the center = 14 feet

The angular speed, ω, of the merry-go-round is found as follows;

[tex]\omega = \mathbf{\dfrac{6 \times 2 \cdot \pi}{1 \ minute}} = 12 \cdot \pi \ rad/minute[/tex]Linear speed = ω × r

Which gives;

Jack's linear speed = 12·π rad/min × 10 feet ≈ 377 feet per minuteBob's linear speed = 12·π rad/min × 14 feet ≈ 527.8 feet per minute

Learn more about angular speed and linear speed here:

https://brainly.com/question/8058144

help me plssssssssssssssssss

Answers

RST is 124
180-56=124

will give brainliest Which of the following statements apply to a regular convex polygon with n sides? Select all that apply.

a There are n-3
diagonals from each vertex.
b The diagonals from each vertex divide the polygon into n-2
triangles.
c In a regular polygon with n sides, each angle measures (n-2)180/n
degrees.
d There are n-2
diagonals from each vertex.
e In a regular polygon with n sides, each angle measures (n-3)180/n
degrees.

Answers

9514 1404 393

Answer:

a There are n-3 diagonals from each vertex.

b The diagonals from each vertex divide the polygon into n-2 triangles.

c In a regular polygon with n sides, each angle measures (n-2)180/n degrees.

Step-by-step explanation:

You can check to see which answers are true for a 3-sided or 4-sided regular polygon (a triangle or square).

  triangle: 3 sides, 0 diagonals, 1 triangle 60-degree angles

  square: 4 sides, 1 diagonal, 2 triangles, 90-degree angles

The statements that are true for our test cases are ...

  a There are n-3 diagonals from each vertex.

  b The diagonals from each vertex divide the polygon into n-2 triangles.

  c In a regular polygon with n sides, each angle measures (n-2)180/n degrees.

What is 5 divided by 6 rounded to three significant figures? pls help ASAP.

Answers

Answer:

0.833

Step-by-step explanation:

5/6 = 0.83333333

Only the 8 and 3's are Significant Figures, so the answer is 0.833.

Find the inequality represented by the graph.

Answers

Answer:

y > 1/3 x - 3

Step-by-step explanation:

First, it would be easiest to find the equation of the line from the two integer points given, which are (0, -3) and (3, -2).

Find the change of y over the change of x to get the slope of the line.

(-2 - (-3))/(3 - 0) = 1/3

Since the line intercepts the y axis at (0, -3), the equation of the line would be

y = 1/3x - 3

We can see that the shaded portion is above the line, (and that the line is dotted) so this graph represents

y > 1/3 x - 3

If the pattern in the table is extended to represent more equivalent ratios for 2:6, which pair of numbers would be Colums?

A) 20 would be in the column for 2, and 69 would be in the column for 6

B) 20 would be in the column for 6, and 60 would be in the column for 2,

C) 20 would be in the column for 2, and 56 would be in the column for 6.

D) 20 would be in the column for 6, and 56 would be in the column for 2.

Answers

Answer:

I believe it's B

Step-by-step explanation:

If tan 2A = cot (A -18°), where 2A is an acute angle, find the value of A.​

Answers

answer will be -24

A=-24

Answer:

A = 36

Step-by-step explanation:

Using the cofunction identity

tan(90 - x) = cotx

Given

tan2A = cot(A - 18) , then

90 - 2A = A - 18 ( add 2A to both sides )

90 = 3A - 18 ( add 18 to both sides )

108 = 3A ( divide both sides by 3 )

36 = A

(3, 2), y = 3x + 4 whats the answer

Answers

Answer:

[see below]

Step-by-step explanation:

Assuming that we need to see if the point is a solution:

[tex]y=3x+4\\\\2=3(3)+4\\\\2=9+4\\\\2\neq 11[/tex]

The point is not a solution to the equation.

Hope this helps.

What percent is represented by the shaded area?

Answers

Answer: 40%

Step-by-step explanation:

Answer:40%

Step-by-step explanation:

i need help ! i will give u brainliest

Answers

b1 = 11 b3= 17 b5= 23 b7=29

For points
What is 10+18=

Answers

Answer:

Answer is 28.

Step-by-step explanation:

and thanks for free points.

Answer: 28

Step-by-step explanation:

In AHIJ, ZH ZJ, JH = 10 and IJ = 14. Find the length of HI?

Answers

Answer:Its 1.3

Step-by-step explanation:

I took the test

Which of the following equations is linear?

Answers

Answer:

D

Step-by-step explanation:

Identify the independent variable and dependent variable in the situation:
Wait time, w, and the number of people in line to get on a ride, p.
Independent variable
[Choose)
Dependent variable
[Choose ]

Answers

I think the independent variable is the number of people and the dependent is the wait time. I see it as the wait time DEPENDS on how many people are in line. This one is kinda confusing tho


A piece of nickel has a mass of 3.48kg and a volume of 400cm3.

Answers

Answer:

density = 0.0087 kg/cm³

Step-by-step explanation:

density = mass/volume

= 3.48/400 = 0.0087 kg/cm³

Definition and description of gravity

Answers

Answer:

1. the force that attracts a body toward the center of the earth, or toward any other physical body having mass.

2. extreme or alarming importance; seriousness.

"crimes of the utmost gravity"

Step-by-step explanation:

Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.

F Maths cuch
My Work
Videos
My
gMa2, Ratio & proportion, lesson 5, 8th Feb
Overview
1
2 W
3
N
Question Progress
Homework Progress
2/8 Marks
The scale on a map is stated as
1:100 000
On the map, Jennifer estimates that the distance to her destination is 8 cm.
If she is correct in her estimate, how many kilometres is it to her destination?​

Answers

9514 1404 393

Answer:

  8 km

Step-by-step explanation:

The scale means the map distance of 8 cm translates to 800,000 cm in the real world. There are 100 cm in 1 m, and 1000 m in 1 km, so that distance is ...

  800,000 cm = 8,000 m = 8 km

It is 8 km to Jennifer's destination.

solve the equation for the value of x. 1/6 (18-x) = 0

Answers

Answer:

x=18

Step-by-step explanation:

FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) thank you very much!!! (22pts)

Answers

Answer:

D. Infinitely many solutions

Step-by-step explanation:

Answer:

Please refer to the attachment

Have a good day Ahead

find -3/5(-1/1/3) show your work

Answers

Answer:

1 4/5

Step-by-step explanation:

-3/5(-1/1/3) = -3/5(-3) = 9/5 = 1 4/5

They are right, I looked it up

2(x - 1) = 4x + 3 explain your answer

Answers

Answer:

x = -2

Step-by-step explanation:

2 (x - 1) = 4x + 3

use the distributive property

2x - 2 = 4x + 3

    +2          +2

2x = 4x + 5

-4x  -4x      

-2x = 5

divide by -2

x = - 5/2

Answer:

Step-by-step explanation:

Here you go mate߷

Step 1߷

2(x - 1) = 4x + 3  Question߷

Step 2߷

2(x - 1) = 4x + 3  Simplify߷

Step 3߷

2(x - 1) = 4x + 3  Add 2 to sides߷

2x=4x+5߷

Step 4߷

2x=4x+5  subtract 4x from sides߷

-2x=5߷

Step 5߷

-2x=5  Divide sides by -2߷

answer߷

x=-5/2߷

Hope this helps߷

PLZZZ HELP THIS IS A BIG PART OF MY GRADE!!!!!! PLZ DON'T JUST TAKE POINTS PLZZZZ. I ONLY NEED B!!

Answers

Answer: I need more evindence to answered it but I say its the third one

Step-by-step explanation:

how is finding the volume of a cone like finding the volume of a pyramid? how is it different? HELP ME PLZ!!!

Answers

Answer:

15.7 percent of 80 = 12.56

Step-by-step explanation:

Percentage solution with steps:

Step 1: Our output value is 80.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$80=100\%$

Step 4: Similarly, $x=15.7\%$.

Step 5: This results in a pair of simple equations:

$80=100\%(1)$.

$x=15.7\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{80}{x}=\frac{100\%}{15.7\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{80}=\frac{15.7}{100}$

$\Rightarrow x=12.56$

Therefore, $15.7\%$ of $80$ is $12.56$

Suppose two different diameters are drawn on a circle. Explain how you can use these diameters to find the center of the circle.

Answers

Answer:

the diameter of a circle always passes the center, by knowing two diameters, you know the center is where they intersect

Step-by-step explanation:

yeah

Complete the remaining columns in the chart by calculating the missing values for each category. Round your percentages to the nearest tenth of a percent. (16 points)

Answers

Answer:

yearly cost for housing expenses = $11,400, average monthly cost for food = $650

yearly clothing cost = $900,

average monthly cost for transportation= $500,

Yearly cost for insurance & medical= $14,400

yearly cost for emergency fund = $600

average monthly college saving = $50

Step-by-step explanation:

Yearly housing = monthly cost * 12 = 950 * 12 = 11400

Food, monthly = 7800 /12 = 650

Clothing, yearly = 75 * 12 = $900

Monthly transport = 6000 / 12 = $500

Insurance and medical = 1200*12 =14400

Emergency fund = $50 * 12 = $600

College saving = $600 / 12 = $50

The sales tax on a $750 computer at J&M Computers is $48.75. What is the sales tax rate?

Answers

Answer:

Step-by-step explanation:

So 750 and 48.75

so tax is a percent of the whole or 750

750=100%

48.75=x%

750/100=48.75/x

solve for x

multiply both sides by x

750x/100=48.75

multiply both sides by 100

750x=4875

divide both sides by 750

x=6.5

the asnwe ris 6.5%

Can someone please help me please bro. Find the value of x and the length of each side. THIS IS DUED BY 10 o’clock tonight please help me out I don’t really understand it

Answers

9514 1404 393

Answer:

  x = 2, y = 10, sides = 15

Step-by-step explanation:

The hash marks tell you all of the sides are the same length. You can use this fact to relate the side length expressions to each other to solve for the variables.

We see that x appears in the left and right expressions only. So we can find x by setting those expressions equal to each other.

  8x -1 = 4x +7

  4x = 8 . . . . . . . . . . . . . add 1-4x to both sides of the equation

  x = 2 . . . . . . . . . . . . . . divide by 4; the value of x

  8x -1 = 8(2) -1 = 15 . . . the length of the sides

Now, we can find y using an expression that involves y. The top expression is the simplest:

  y +5 = 15 . . . . . the length of the side we just found

  y = 10 . . . . . . . subtract 5

The variable values are ...

  x = 2

  y = 10

The side lengths are 15.

Earth makes a full rotation every
24 hours, Noptune makes a full rotation
every 16 hours. What is the ratio of
Earth rotations to Neptune Rotations?
(in simplest terms)

Answers

Answer:

I think the ratio is 3:2 :)

24:16=12/8=6/4=3/2. The answer would be 3:2 bc you divide both sides by 8 or, like I did, divide it by 2 three times.

W cubed x W (-9th Power)

Answers

Answer:

[tex] \frac{1}{w {}^{6} } [/tex]

Step-by-step explanation:

[tex] {w}^{3} \times w {}^{ - 9} [/tex]

equal

[tex]w {}^{ - 6} [/tex]

Using the product of power rule,

[tex] {x}^{a } \times x {}^{e} = x {}^{a + e} [/tex]

Then apply negative power rule

[tex]a {}^{ - x} = \frac{1}{a {}^{x} } [/tex]

So it now becomes

[tex] \frac{1}{w {}^{6} } [/tex]

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