Find the formula for an exponential function that passes through the two points given.

(x, y) = (0,5) and (x, y) = (3, 40)

Answers

Answer 1

Answer: y = 5(2)^x.

Step-by-step explanation:

Let's assume that the exponential function is of the form y = ab^x, where a and b are constants to be determined.

Using the point (0, 5):

5 = ab^0

5 = a

Using the point (3, 40):

40 = ab^3

Substitute a = 5 into the second equation:

40 = 5b^3

8 = b^3

b = 2

Therefore, the formula for the exponential function is y = 5(2)^x.


Related Questions

A rectangular prism has a length of 2 centimeters, a height of 8 centimeters, and a
width of 13 centimeters. What is its volume, in cubic centimeters?

Answers

The volume of the rectangular prism is 208cm³

What is the volume of a rectangular prism?

Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.

The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width

length = 2cm

width = 13 cm

height = 8cm

base area = 13× 2 = 26cm²

Volume of the prism = 26× 8 = 208cm³

Therefore the volume of the rectangular prism is 208cm³.

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complete the partial two-way frequency table below that shows the extracurricular activities of high school students. Based on the data in the table, how many students do not play an instrument

Answers

According to the information, the missing number from the box is number 40.

How to find the missing number in the box?

To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.

According to the above we can infer that the missing number is 40.

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complete the partial two-way frequency table below that shows the extracurricular activities of high

PLEASEEEEE HELP!
Find the perimeter of this shape. Triangle with the given vertices: C(3, 4), A(5, -4) and T(2, 2).

Answers

Answer:

17.19 units.

Step-by-step explanation:

First calculate the distance between the 3 points to get the lengths of sides of the triangle.

Side AC = sqrt( (3-5)^2 + (4- -4)^2) = sqrt68

Side AT = sqrt((5-2)^2 + (-4-2)^2 = sqrt45

Side CT = sqrt((3-2)^2 + (4-2)^2) = sqrt5

So the perimeter = sqrt68 + sqrt45 + sqrt5

= 17.19 units.

This is algebra 1 btw. Please help, thank you :)

This is algebra 1 btw. Please help, thank you :)

Answers

Given:-

The sides of the rectangle are 5 and 9.

To find the area after each side is increased by x.

So after each side is increased by x. we get the side lengths as,

\((2x+5),(2x+9)\)

So now we use the formula,

\(\begin{gathered} A=l\times b \\ A=(2x+5)(2x+9) \\ A=4x^2+18x+10x+45 \\ A=4x^2+28x+45 \end{gathered}\)

So our required area is,

\(4x^2+28x+45\)

please help me with this please i need the amswers for today,​

please help me with this please i need the amswers for today,

Answers

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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You baked a total of 270 cookies for your school using three shapes:
stars, circles, and hearts. You have four times as many stars as
circles. The number of hearts is ten less than five times the number
of circles. How many hearts are there?

Answers

Answer: They are only 5 heart remaining.

Step-by-step explanation:

Same set up as the problem to the left. Fill in the blanks.

Same set up as the problem to the left. Fill in the blanks.

Answers

The blanks that are missing in the sequence are -3 and 11

How to fil in the blanks in the sequence

from the question, we have the following parameters that can be used in our computation:

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

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How to solve this problem what do I do

How to solve this problem what do I do

Answers

Answer:  P + 6 - s

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

Explanation:

We undo the "minus 6" by adding 6 to both sides.

Also, we undo the "+s" by subtracting s from both sides

-----------

So we have these steps

P = r+s-6

P+6 = r+s-6+6 .... adding 6 to both sides

P+6 = r+s

r+s = P+6

r+s-s = P+6-s ..... subtracting s from both sides

r = P + 6 - s

Answer:

P+6-s=r

Step-by-step explanation:

Hi there!

We are given the equation P=r+s-6 and we need to solve for r

To do that, we need to isolate r onto one side, and have everything else on the other.

Here is the equation:

P=r+s-6

start by adding 6 to both sides to clear it from the right side

P+6=r+s

now subtract s from both sides to clear it from the right side

P+6-s=r

now everything that isn't r is on the left side, and r is by itself on the right side. P+6-s=r is the answer.

Hope this helps!

Question 2 (Fill-In-The-Blank Worth 1 points)
(02.02 MC)
Use the graph to fill in the blank with the correct number.

Question 2 (Fill-In-The-Blank Worth 1 points)(02.02 MC)Use the graph to fill in the blank with the correct

Answers

Answer:

Is there a question?

Step-by-step explanation:

Hello??

Heather invests $1,050 in an account with a 3.5% interest rate, making no other deposits or withdrawals. What will Heather’s account balance be after 7 years if the interest is compounded 6 times each year?

Answers

Heather's account balance will be approximately $1,340.55 after 7 years if the interest is compounded 6 times each year.

What is the accrued amount after 7 years?

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the account balance after a certain amount of time

P is the principal or initial amount invested

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the time period in years

Given tha data in the question;

P = $1,050R = 3.5%n (the interest is compounded 6 times each year) = 6t = 7 years

First, convert R as a percent to r as a decimal

r = R/100

r = 3.5/100

r = 0.035 rate per year.

Substituting these values into the formula solve for accrued amount, we get:

A = P(1 + r/n)^(nt)

A = 1,050(1 + 0.035/6)^(6 × 7)

A = 1,050(1 + 0.005833333333333)⁴²

A = 1,050(1.005833333333333333)⁴²

A = $1,340.55

Therefore, the accrued amount is $1,340.55.

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Find the value of y.

Find the value of y.

Answers

Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

PLEASEE HELP ITS KHAN

PLEASEE HELP ITS KHAN

Answers

Answer:

it is B

Step-by-step explanation:

=B

what is the number which is 3 greater than n?? ​

Answers

Answer:

n+3

Step-by-step explanation:

Since N is not given it is written as an expression.

The numerical form of the statement a number that is 3 greater than 'n'

is n + 3.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

Given, We have to write an expression which is a number that is 3 greater than n.

Therefore, The numerical form of the given statement is n + 3.

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Answers

Answer:

aã/fjd &dsjf éfbcsçvn bñßã

I need help please!! It for geometry

I need help please!! It for geometry

Answers

Answer:

Rhombus and Square

Step-by-step explanation:

Perpendicular Diagonals mean that the diagonals intersect each other at a 90 degree angle always.

Rectangles do not intersect at a 90 degree angle, and parallelograms don't ALWAYS intersect at that angle.
However, rhombuses and squares do.

I need help
Help please
22 points

I need help Help please 22 points

Answers

Answer:

$22.7325

Step-by-step explanation:

12.99 * 1.75 = 22.7325

pls mark brainliest

Help with math problems

Help with math problems

Answers

Step-by-step explanation:

1. w=4 v=-3

2. y=6 x=-2

4. m=6 p=3

5. b=-2 a=4

7. c=8 d=-7

8. g=-3 f=5

10. j=2.5 k=4

11. x=4 y=1.5

13. x=2 y=1

14. y=6 x=5

The ___ is the ratio of a length of the new figure to the corresponding length on the original figure

The ___ is the ratio of a length of the new figure to the corresponding length on the original figure

Answers

Answer:
scale factor

Explanation:
The ratio of the side lengths of the image to the corresponding side lengths of the original figure is the scale factor of the dilation.

It’s in the provided picture

Its in the provided picture

Answers

A. Because it is less than 1 times 111.

Answer:

The answer is A. 31/55 x 111.

Step-by-step explanation:

This was on iReady.

Perform the indicated operation ​

Perform the indicated operation

Answers

Answer:

(g o h)(t) = -4t² - 16t + 3

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Composition of functions

Step-by-step explanation:

Step 1: Define

g(t) = -4t + 3

h(t) = -t² + 4t

(g o h)(t) = g(h(t))

Step 2: Find

Substitute:                     (g o h)(t) = -4(t² + 4t) + 3Distribute -4:                 (g o h)(t) = -4t² - 16t + 3

And we have our final answer!

Consider a sample with data values of 27, 24, 21, 16, 30, 35, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20th percentile 1 1.8 Incorrect: Your answer is incorrect. 25th percentile 2 2.25 Incorrect: Your answer is incorrect. 65th percentile 3 5.85 Incorrect: Your answer is incorrect. 75th percentile

Answers

Answer:

20

21.75

27.85

29.5

Step-by-step explanation:

Arranging the values in ascending order we get

16 21 24 24 27 28 30 35

n = Number of values = 8

Rank is given by

\(\dfrac{\text{Percentile}}{100}\times (n+1)\)

\(=\dfrac{20}{100}(8+1)=1.8\)

Taking the fraction of the rank i.e., 0.8 and work out the weighted mean

\(0.8\times (21-16)+16=20\)

The 20th percentile is 20

\(\dfrac{25}{100}(8+1)=2.25\)

\(0.25(24-21)+21=21.75\)

The 25th percentile is 21.75

\(\dfrac{65}{100}(8+1)=5.85\)

\(0.85(28-27)+27=27.85\)

The 65th percentile is 27.85

\(\dfrac{75}{100}(8+1)=6.75\)

\(0.75(30-28)+28=29.5\)

The 75th percentile is 29.5

Given the vectors w = <-5, 3> and z = <1, 4>, find the results of the vector subtractions.

Answers

Answer:

Given two linearly independent vectors w and z

We want -w-z

Hence apply a negative gradient to w

w=-<-5,3> =<5,-3>

So <5,-3>-<1,4> = (<5-1>,<-3-4>)

The answer is <4,-7>

From Monday to Thursday, the depth of a snowdrift changed by 2 3/8 inches. From Thursday to Friday, the depth changed by half as much. What is the change in the depth of the snowdrift from Thursday to Friday?

Answers

Answer:

From Thursday to Friday, the change in the depth was 19/16 inches

or as a mixed number, 1 3/16 inches

Step-by-step explanation:

From Monday to Thursday, the depth of a snowdrift changed by 2 3/8 inches

now, 2 3/8 = 2(8/8)+(3/8) = 16/8 + 3/8 = (16+3)/8

so, 2 3/8 = 19/8 inches = depth change from monday to thursday

From Thursday to Friday, the depth changed by half as much,

so,

depth change from Thursday to Friday = 1/2(depth change from Monday to Thursday)

depth change from thursday to friday = 1/2(19/8) = 19/16 inches

Determine whether the statement makes sense or does not make​ sense, and explain your reasoning.
​"I'm working with a prime number that intrigues me because it has three natural number​ factors."

Answers

Answer:

it doesn’t make sense

Step-by-step explanation:

2.) Which Expression is equal to 0?h​

Answers

Answer:

0+0=0

Step-by-step explanation:

Expression is another word for equation

98 x 24 = (100 - 2 ) x 24 = ?

Answers

Answer:

2352

Step-by-step explanation:

(100 - 2) x 24 = 2400 - 48 = 2352

3. Two companies charge differently for canoe rentals, as shown below.
Company A: c= 8h+ 10, where cequals the total cost (in dollars) and hequals number of
hours.
Company B: $15 per hour.
a. What is Company A's rate of change? How much would it cost for a 4 hour rental?
b. What is Company B's rate of change? How much would it cost for a 4 hour rental?
c. Which is the better buy? By how much for a 4 hour rental?

Answers

The rate of change for company A is 8.

The rate of change for company B is 15

Company A is better as it is charging less by a value of $18

What is rate of change?

Rate of change is the changes in the dependent variable when the independent variable changes by a unit value.

We are given 2 companies

A) equation for charges applied by company A is given by c=8h+10

Cost is a function of hours

To find the rate of change we differentiate the function

We get c' = 8

Rate of change for company A is 8

The cost for 4 hour rental is

c= 8(4)+10

c=32+10

c=$42

B) Company B charges $15 per hour

Rate of change for company B is 15

The cost for 4 hour rental is

c= 15(4)

c=$60

C) Company A is better to buy by $18 as the difference between the four hours price between company A and company B is $ 18

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Identify two Pythagorean triples using the known triple 9, 40 , 41. *
Your answer

Answers

Step-by-step explanation:

\( {a}^{2} + {b}^{2} = {c}^{2} \\ {9}^{2} + {40}^{2} = {41}^{2} \\ 81 + 1600 = 1681 \\ 1681 = 1681\)

If-2a > 6, then
-a>3
-a<3
-a<-3
-a>-3

Answers

Answer:

a < - 3

Step-by-step explanation:

Given

- 2a > 6

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity, thus

a < - 3

write 1/4 + 1/4+1/4+1/4+1/4+1/4+1/4 as a multiplication problem then find the product

Answers

9514 1404 393

Answer:

  7(1/4) = 7/4 = 1 3/4

Step-by-step explanation:

Multiplication is used to simplify repeated addition. The multiplier represents the number of times the sum includes the repeated value.

Here, the term 1/4 appears in the sum 7 times. That means we can write the equivalent expression ...

  7 × 1/4 . . . . written as a multiplication expression

The product is found by multiplying the numerator of the fraction by the integer factor.

  7 × 1/4 = 7/4

This improper fraction can be written as a mixed number.

  7/4 = 1 3/4 . . . . the value of the sum

Answer:

1/4 + 1/4+1/4+1/4+1/4+1/4+1/4

(1/4) x 7

Step-by-step explanation:

Other Questions
A 2000. kg car is driving on a level, circular track with radius 142.0 m. The ellgm travel on pushing the car forward with a force of the track without sliding is is 40.0 m/s. a. What is the cnaffin:...... friction between the track and the tires? What was the major goal of the law of April 6, 1830A. stop the further colonatzation of Texas by American settlers B. To increase Mexican taxes on Anglo- American settlers in Texas C. Require all Texans to serve two years in the Mexican military D. Establish Antonio Lopez de Santa Anna as the sovereign over all Texas which statement is the inverse the given statement help me please i need the answer now(nonsense report) PLEASE HELP ME QUICKLY!!I'LL GIVE BRAINLIEST!Dear Diary,Today, my family and I are traveling home after our amazing summer vacation. For the past week, we have been visiting Niagara Falls in Canada. Since I didn't have the time to write during our trip, I will tell you all about it now. A little more than a week ago, my mother and father started packing our suitcases to prepare for our trip. My entire family woke up early Sunday morning, packed the car, and began our expedition to Niagara Falls. When we reached the American-Canadian border, I was excited to enter a foreign country for the first time.When we arrived at our hotel, my family and I checked in and put our bags in our room. The hotel we stayed in was a grand, old building that was filled with many elaborate decorations. Later on, my younger brother Stevie and I wandered out onto the hotel balcony. From this location, we could see the top of Niagara Falls! The scene was so majestic that it looked like an illustration from a magazine. My sleep was fitful that night because I was so eager to visit the falls.After breakfast the following morning, we decided to take our first trip to see the falls. When I first saw Niagara Falls up close, I was stunned in amazement. The falls are gigantic! They are truly one of the most magnificent natural sights in the world. The rest of my family was impressed by the splendid waterfall, too. My brother wanted to get even closer to the water, so he clambered up one of the embankments. Our parents, however, forced him to climb back down quicklyit's not safe to get too close to the powerful water. In fact, the rushing water was strong enough that we could hear its roar from our hotel room each evening.After our first day of visiting the falls, we had many other adventures in Canada. One day, we took a boat ride underneath Niagara Falls. While we rode on the boat, an employee told us some interesting facts about the falls. She said that the falls on the Canadian side of the border are about 160 feet tall in most placesthat is taller than a ten-story building! In addition, the employee explained that many people throughout history have attempted to ride over the falls. Although this is against the law, some people have passed over the falls in barrels or other structures. Of course, this is an extremely dangerous practice, so you wont catch me attempting this feat anytime soon! After a long, yet adventurous week, I am actually happy to be returning home. We had a wonderful trip, but now I can show my grandparents the dozens of photographs I took during our vacation. Perhaps we could visit Niagara Falls again next yearafter all, this was definitely the trip of a lifetime! How would this diary entry differ from an autobiographical passage about the same event? _________________________________________________________________ A) An autobiographical passage is not written in first person perspective. B) There is no substantial difference between a diary entry and an autobiography. C) Diary entries are usually written from a third-person point of view unlike this passage. D) A diary entry is often full of mundane details that aren't arranged in an artful or literary style. cani have dome help explaining this and what effects itthanks in advance Task \( 1 \mathbf{B} \) Explain what "Natural Frequency of Vibration" is and what affects it. . The creation of an island by volcanic means in the middle of an ocean is the result of: A. Erosion B. Weathering C. Deposition 14. Eating tomatoes hardly seems an act of bravery today, but tomatoes were once thought to be poisonous.A. Eating tomatoesB. An act of braveryC. Once thought to be poisonousD. Hardly seems an act question tag of (A self praise has no recommendation) 0According to the Nielsen Media Research, of all the U.S. households that owned at least one television set, 83% had two or more sets, A local cablecompany canvassing the town to promote a new cable service found that the 300 randomly selected households visited, 240 had two or moretelevision sets. At 0.05 level of significance, is there sufficient evidence to conclude that the proportion is less than the one in the report?Answer Questions 12-23. Cold temperatures and loud noises are stressors to one person but not another. Why does this occur?a) Although the perception is the same, the response is individualized.b) Both individuals will respond the same, depending on the situation.c) The internal environment of one person is more selective.d) The perception and effects of stressors are highly individualized. Graph the function. Give the equations of the vertical and horizontal asymptotes f(x)= x+25 x-36 Give the equations of any vertical asymptotes for the graph of the rational function. Select the correct choice below and fill in any answer boxes within your choice OA. The function has two vertical asymptotes. The leftmost asymptote is and the rightmost asymptote is (Simplify your answer. Type an equation.) OB. The function has one vertical asymptote, (Simplify your answer. 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At that time, the firm invested $236492 in grading the site so that it would be usable Since the wasn't ready to a at that time, it decided to lease the land for $53,500 a year. The company is now considering building a warehouse on the site as the rental lease is expiring The comment value of t What value should be included in the initial cost of the warehouse project for the use of this land? How do you detect infestation? What is 121 divided by 18? Which statement is true about angles 3 and 6? A. They Are adjacent angelesB. They Are complementary anglesC. They are supplementary anglesD. They are vertical angles