Write an

exponential function in the form y = ab^x

that goes through points (0,13) and (3,832).

Answers

Answer 1

Answer:

y = 13 × [tex]4^{x}[/tex]

Step-by-step explanation:

Substitute the given values into the exponential

Using (0, 13 ) , then

13 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , so

a = 13

y = 13 [tex]b^{x}[/tex]

Using (3, 832 )

832 = 13 b³ ( divide both sides by 13 )

64 = b³ ( take cube root of both sides )

b = [tex]\sqrt[3]{64}[/tex] = 4

The exponential function is

y = 13 [tex](4)^{x}[/tex]


Related Questions

Translate the sentence into an equation or formula.

The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c.

Answers

Answer:

P = a + b + c

Step-by-step explanation:

PLEASE HELP HELPPPPPPPPP

Answers

Answer:

(1,-4)

Step-by-step explanation:

2x+4y=-14

x-2y=9

2x+4y=-14

2(x-2y)=(9)2

2x+4y=-14

2x-4y=18

Add X

4x=4

X=1

Substitute x into any equation

(1)-2y=9

-2y=8

y=-4

6x² +12x²y + 6xy² chỉ tui đi

Answers

Answer:

6x(x+2xy+y^2)

Step-by-step explanation:

In general, the diameter of a tree trunk increases with age.



What could be the correlation between the diameter of the tree trunk and age for all trees?


0


0.7


−0.7


1

Answers

The third option
Hope this helps love!

answer is 0.7 ...............

1.
A train travels at a constant rate of 45 miles per hour.
a.
What is the distance, d, in miles, that the train travels in t hours?
How many miles will it travel in 2.5 hours?
b.

Answers

112.5 miles in 2.5 hours

Answer:

11.25 miles in 2.5 hours

Step-by-step explanation:

speed × time = distance

45 × 2.5 = 112.5

45 is the speed

2.5 is the time

11.25 is the distance

I will Brainlist Who can Answer this 4 Question Math Match the situation with the corresponding linear system. Write the letter of your answer.​

Answers

Step-by-step explanation:

6 = b

7 = d

8 = c

9 = a

hope this answer helps you dear...take care and may u have a great day ahead!

ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!

Answers

Answer:

Question 1:

A) Perpendicular

Question 2:

B) y = -8 and y = 2

When President Obama stated, "Transparency and the rule of law will be the touchstones of this presidency," he meant that

Answers

Answer:

that what

Step-by-step explanation:

PLEASE HELP ME WILL MARK YOU BRAINLIEST

Answers

1.

2(2)^3 - 5(2)^2

2(8) - 5(4)

16 - 20

-4

2.

[ 4(5)^2 + 2 ] / [ 5 + 1 ]

(4(25) + 2) / 6

100 + 2 / 6

102 / 6

17

3.

15 - (-1)^5

15 - - 1

15 + 1

16

Hope this helps!! :)

Find x

Please show your work

Answers

Answer:

I think it would be

A= 3/5

B= 7/6

There are 15 pieces of the same size candy in a bag. Four are banana flavored, three strawberry flavored, six cherry flavored, and two orange flavored. What would be the probability of picking a banana, cherry, or a strawberry flavored candy from the bag? Write your answer as a simplified fraction in a/b form.

Answers

Answer:

The answer is 7/15

Find three consecutive integers such that twice the first is equal to 17 more than the largest number

Answers

smallest is X

middle is X+1

largest is X+2

 

2X = x+2 + 17

 

2X = x + 19

 

x = 19

 

19. 20, 21

what is the amount of water in the aquarium at 0 minutes

Answers

Answer:

I would guess it would be 0 but is there a graph or background info

?

Step-by-step explanation:

NEED ASAP hurry plz

Write a story that would explain the graph below.

Answers

Answer:

A kid leaping happily to home after school

The graph represents the relationship between height and time.

Given that,
A curve has been shown we have to explain the behavior of the curve.

What is a graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
The curve is shown, where the vertical axis represents the height above the ground and the horizontal axis represents the time. Let's assume a plane of paper is flying, the plane getting a rise and then a certain down and again rise and down as according to the height of the plane.

Thus, the graph represents the relationship between height and time.

Learn more about graphs here:

brainly.com/question/16608196

#SPJ2

Arrange in ascending order:

7,85,460 ; 7,58,406 ; 7,85,046 ; 7,85,640.​

Answers

Answer:

7,58,406 ,   7,85,046 ,    7,85,460 ,   7,85,640  

Step-by-step explanation:

a car is traveling at a steady speed. it travels 2 1/2 miles in 3 1/3 minutes. how far will it travel in 25 minutes. in 1 hour?

Answers

Answer:

Step-by-step explanation:

The car will travel 30 2/3 miles in 45 minutes.Oct

We have distanced covered in 25 minutes-16.5miles and in 1 hour-40.2miles

A store sells a 3 -pound bag of oranges for $3.60 and a 5 -pound bag of oranges for $5.25 . What is the difference between the price per pound for the 3 -pound bag of oranges and the price per pound for the 5 -pound bag of oranges

Answers

Answer:

The price of 3 pounds would be $1.20 per pound and the price of 5 pounds would be $1.05 per pound

So, Five pound would cost 15 cents less than the 3 pounds

Step-by-step explanation:

Divide the price by the pounds

Hope this helps

What is the sum of the 15th square number and the 4th square number?

Answers

Answer:

241

Step-by-step explanation:

15th squared number = 225

4th squared number = 16

225 + 16 = 241

Find the surface area of the square pyramid. Round your answer to the nearest hundredth.
A. 175.42
B. 176.42
C. 185.42
D. 192.42

Answers

Answer:

175.42

Step-by-step explanation:

 

surface area of square pyramid is given by:

Area= s^2 + 2(s)(l)

where s is the base and l is the slant height

in given problem, slant height l is not given, so by using Pythagoras theorem finding l:

c^2= a^2 + b^2

    =  8^2 + 4^2

    = 48.49

c     = 6.96348

Now putting values of s=8 and l= 6.96 in first formula

Area= 8^2 + 2(8)(6.96)

     =  64 + 111.41

     = 175.42

!

3) A rock is thrown from the top of a tall building. The distance, in feet, between the rock and the
ground x seconds after it is thrown is given by f(x)=-16x2 - 4x + 382 How long after the rock is
thrown is it 340 feet from the ground?

Answers

Answer:

1.5 seconds

Step-by-step explanation:

Since f(x) represents the distance from the ground to the rock (in feet), we just need to find the values of x for which f(x) = 340. Substituting f(x) = 340 into f(x) = -16x² - 4x + 382 gives us:

340 = -16x² - 4x + 382

0 = -16x² - 4x + 42 (Subtract 340 from both sides)

16x² + 4x - 42 = 0  (Multiply entire equation by -1, "flip" equation)

8x² + 2x - 21 = 0    (Divide entire equation by 2)

(4x + 7)(2x - 3) = 0  (Factor LHS)

4x + 7 = 0 or 2x - 3 = 0 (Zero Product Property)

4x = -7 or 2x = 3 (Subtract -7 and add 3 from/to both sides, respectively)

[tex]x = -\frac{7}{4} =-1.75 . or .x= \frac{3}{2} = 1.5[/tex]

x = -1.75 is an extraneous solution because in the context of the question, you can't have negative seconds so therefore, the final answer is 1.5 seconds.

(hop this helps can I pls have brainlist (crown)☺️)

402/3333 simplified please

Answers

Answer:

134/1111

Step-by-step explanation:

Answer:

Reduce the expression, if possible, by cancelling the common factors.

Exact form:  [tex]\frac{134}{1111}[/tex]

Decimal form: 0.1206...   (repeating)

Place the following steps in order to describe how to solve the following equation: ​ ​ 2(2x+3)-2=5

Answers

Answer:

0.25

Step-by-step explanation:

First, you distribute the equation.

2(2x+3)-2=5

4x+6-2=5

Then, you combine like terms.

4x+6-2=5

4x+4=5

Next, you subtract 4 from each side.

4x+4=5

4x+4-4=4x

5-4=1

4x=1

Finally, you divide each side by 4.

4x/4

1/4

(4x/4 you'd end up with x)

Answer: x=1/4

How do you do this question?

Answers

Answer:

The answer is D) 12

 

There are two trips, but the distances are the same.

Trip #1: uphill, at 9 mph

Trip #2: downhill at 18 mph

Total round trip is 30 minutes.

Since he's going half the speed uphill, Trip #1 takes twice as long as Trip #2.

So if the time for Trip #2 is x, then the time for Trip #1 is 2x.

     x + 2x = 30, so x=10

Trip #2 takes 10 minutes.

Trip #1 takes 20 minutes.

Trip #1: 20 minutes at 9 mph = 3 miles

Trip #2: 10 minutes at 18 mph = 3 miles

This means his school is 3 miles away.

If you want an equation to solve,

Let d = distance to school.  We use d = r·t formula to set up that t = d/r

let t1 = time going to school and t2 = times going home

t1 + t2 = 30 and t1 = d/9 and t2 = d/18.

    d/9 + d/18 = 0.5    (it's 0.5, because we need the time in hours)

      mutiply both sides b 18

    2d + d = 9

     3d = 9

       d = 3

The component form of a vector indicates the changes in x and y from the
starting point to the endpoint. What is the component form of this vector?

Answers

The vector’s component form is (-8, 2)

It moves negative 8 units towards the left. 4 - 8 = -4. And it moves positive 2 units upwards -1 + 2 = 1.

We will see that the component form of the given vector is <-8, 2>, so the correct option is D.

How to get the component form of the vector?

For a vector with starting point (a, b) and endpoint (c, d), the component form is:

<c -a, d -b>

In this case, we can see that the starting point is (4, -1), and the endpoint is (-4, 1)

Then the component form of the vector is:

<-4 - 4, 1 - (-1) > = <-8, 2>

So the correct option is D.

If you want to learn more about vectors, you can read:

https://brainly.com/question/3184914

At last year's company picnic, 25 pounds of ground beef were needed to make 100 hamburgers.

How many pounds of ground beef will be needed this year if 120 hamburgers are to be made?




30 lb

45 lb

50 lb

55 lb]

Answers

Answer:

46lb

Step-by-step explanation:

you take twenty five divide by one twenty

Answer:

30lbs your awnser is that 30 pounds

What is the correct number form for ""seven and eighty-three thousandths?""7.8037.0837.837.830

Answers

Answer: 7.083

Step-by-step explanation:

Can not be 7.803 because the 8 is in the tens place and the 3 is separated from it. Can't be 7.83 or 7.830 either because the 83 is only in the hundredths place. They are also the same thing seeing as the 0 is not needed, so they are said the same way, which would be seven and eighty-three hundredths.

Marques is a waiter at a restaurant. Each day he works, Marques will make a
guaranteed wage of $25, however the additional amount that Marques earns from
tips depends on the number of tables he waits on that day. From past experience,
Marques noticed that he will get about $14 in tips for each table he waits on. How
much would Marques expect to earn in a day on which he waits on 17 tables? How
much would Marques expect to make in a day when waiting on t tables?

Answers

Answer:

Step-by-step explanation:

25- guaranteed

$14 on each table waited on

He waited on 17.

17x14= $238 tips

238+25= $263

1. Marques expects to earn $263 on 17 tables

2. He expects to make 25+14t per day.

Find the value of X and Y​

Answers

Answer:

x = 20 , y =43

Step-by-step explanation:

1- 7x-3 + 3x-17 = 180

10x = 200, x = 20

Y = 3x-17  x is 20 so Y=60-17=43


2.2.10^6 cm in standard notation

Answers

Answer:

1000000 or 2200000

Step-by-step explanation:

(im not sure if your asking for 10^6 or for 2.2 times 10^6 so whichever one applies to you

Which numbers represent the solutions to the inequality below? Check all that apply.

Answers

Your answer will be -3 only
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