ab? that goes through points (0,2)
Write an exponential function in the form y
and (4, 1250).

Ab? That Goes Through Points (0,2)Write An Exponential Function In The Form Yand (4, 1250).

Answers

Answer 1

Answer:

  y = 2·5^x

Step-by-step explanation:

Using the given points, we can solve for 'a' and 'b'.

  y = ab^x

  2 = ab^0 = a . . . . . substitute (0, 2) for (x, y)

__

  1250 = 2·b^4 . . . . substitute for 'a' and (4, 1250) for (x, y)

  625 = b^4 . . . . divide by 2

  5 = b . . . . . . . take the 4th root

The function is ...

  y = 2·5^x

____

Additional comment

There are two real and two imaginary 4th roots of 625. Only the positive real root is useful as the base in an exponential function like this.


Related Questions

PLEASE HELP QUESTION IN PIC.

Answers

Answer:

21.8

Step-by-step explanation:

Please help please please

Answers

Answer:

39

Step-by-step explanation:

284-5(7)²

284-(5×49)

284-245

39

Answer:

The Answer Is 70

Step-by-step explanation:

So first you have do the parentheses, (2+5) = 7

Then do the exponents [tex]7^{2}[/tex] 7.7 = 49

Next do the Multiplying 49.5= 214

Finally Subtract 284-214=70

I Hope This Helps You :)

7/8 in lowest terms ?

Answers

Answer:

7/8 simplified to lowest terms is 7/8.

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 7 and 8 is 1

Divide both the numerator and denominator by the GCD

7 ÷ 1

8 ÷ 1

Reduced fraction:  

7

8

Therefore, 7/8 simplified to lowest terms is 7/8.

How can you find approximations of square roots?​

Answers

Step-by-step explanation:The second way of approximating a square root is to use a calculator. Most calculators have a radical sign on them. To find the square root of a number, we enter the radical sign, then the value and press enter. This will give us a decimal approximation of the square root.

Write the following equation in slope-intercept form.
3 x- 2 y=5

y= 3/2 x - 5/2
y= -3/2 x -5/2
y= -3/2 x + 5/2​

Answers

Answer:

A)

Step-by-step explanation:

3x-2y=5

2y=3x-5

y=3/2x-5/2

y = 3/2x + -5/2

hope this helps!

1. When is it best to solve a system of equations using graphing?
2. When is it best to solve a system of equations using substitution?
3. When it is best to solve a system of equations using elimination? When it is

Answers

1. You can solve a system of equations using graphs when there are no decimals or fractions in the equations. This can allow you to almost precisely plot a graph, and determine the values of the variables.

2. You can use the substitution method when one (or both) of the equations is already solved for one of the variables.

3. Elimination is best used when the equations are written in the form Ax + B = C, and also when the coefficients are values not equal to 1.

Rich borrowed $5000 at a 7% interest rate for 6 years. What was the total interest? Enter your answer in the box. Hint: Use the formula I= P*R*T where I= Interest Earned/Owed P= Principal R= Rate T= Time

Answers

Answer:

$700.000 is the interest

Step-by-step explanation:

hope the answer helps

Simple interest is the interest calculated on the principal at a given rate for a time period.

The simple interest is given as,

SI = (Px R x T) / 100

The total interest is $2100.

What is simple interest?

It is the interest calculated on the principal at a given rate for a time period.

The simple interest is given as,

SI = (Px R x T) / 100

We have,

P = $5000

R = 7%

T = 6 years

SI = P x R x T / 100

SI = 5000 x 7 x 6 / 100

SI = 50 x 7 x 6

SI = 50 x 42

SI = $2100

Thus,

The total interest is $2100.

Learn more about simple interests here:

https://brainly.com/question/25845758

#SPJ2

For health reasons, Amir wants to drink eight
glasses of water a day. He's already had six
glasses. What fraction of eight glasses does
Amir have left to drink?
A. 1/8
B.1/6
C. 1/4
D.1/3

Answers

Answer is C, 1/4 left to drink. 6/8 reduces to 3/4, so 3/4 + 1/4 = 1 whole, or 8/8

2 1/5 liters of water and 1 1/3 liters of juice are used for a team breakfast,
How many liters of drink were used for the breakfast?
Enter your answer as a mixed number in simplest form by filling in the boxos,

Answers

Answer:

3 8/15

Step-by-step explanation:

2 1/5 + 1 1/3 = 3 8/15

find 4/5 x 1 2/3?? please help!

Answers

0.2 is the correct answer because you simplify then solve

Given each function and domain, find the range values. y=3/5x+2; domain: {-10,0,5}

Answers

Given the function

[tex]y=\dfrac{3}{5}x+2[/tex]

and its domain [tex]\{-10,0,5\}[/tex], its range is [tex]\{-4,2,5\}[/tex]

The domain of a function is the set of all possible values that we can input to the function.

The range of a function is the set of all possible values that a function can output.

For the function

[tex]y=\dfrac{3}{5}x+2[/tex]

if the domain is the set [tex]\{-10,0,5\}[/tex], we can get the range by substituting each value in the domain into the function. The resulting set of values gives the range of the function.

The range will then be

[tex]\left\{\dfrac{3}{5}(-10)+2, \dfrac{3}{5}(0)+2,\dfrac{3}{5}(5)+2\right\}\\\\=\left\{3(-2)+2, 3(0)+2, 3(1)+2\right\}\\\\=\left\{-4, 2, 5\right\}\\\\[/tex]

Learn more about function domain and range here https://brainly.com/question/13824428

Which equation best represents the line? ​

Answers

Answer:

the fourth one.. y = 3/4x + 4

Bella is training for a marathon. She can run 19 miles in 150 minutes. How many miles can she run in 5 hours?

Answers

Answer:

Step-by-step explanation:

The answer is 38 miles

Estimate the quotient of 57.87 ÷ 5 A) 9 B) 10 C) 11 D) 12

Answers

Answer:

C, 11

Step-by-step explanation:

consider each table. does the table represent a proportional relationship? Select yes or no for tables A-C

Answers

Answer:

A. No, it does not represent a proportional relationship.

B. Yes, it represents a proportional relationship.

C. No, it does not represent a proportional relationship.

Step-by-step explanation:

think of the increase for X and Y, if they increase at the same rate for both and and for X to Y, they have a proportional relationship.

write an equation
(X-P) (x-q)=0

Answers

Answer:

[tex]x^{2} -pqx+pq[/tex]

Step-by-step explanation:

Pls help me with this question

Answers

Step-by-step explanation:

A

the answers are already right in picture. we only need to count.

maybe the problem is understanding a cube ? when it says here "the edge of each cube is 1 1/2 in long", then it means that every side length of a cube is the same (length, width, height). it is the principle of a 2-dimensional square in 3 dimensions.

and "prism" is simply another word for "box".

so, we see that there are 5 cubes fitting along the length of the prism.

so, the length of the prism is

5× 1 1/2 in = 5× 3/2 = 15/2 = 7 1/2 in.

3 cubes are the width of the prism.

so, the width of the prism is

3× 1 1/2 in = 3× 3/2 = 9/2 = 4 1/2 in.

B

we know the height of the prism is 3/4 ft.

1 ft = 12 in

3/4 ft = 3/4 × 12 = (3×12)/4 = 36/4 = 9 in

how many layers of cubes fit into 9 in ?

well, that is what we use division for :

9 ÷ 1 1/2

this is the same as

9 / 3/2 = (9/1) / (3/2)

to divide by a fraction is the same as to multiply with the upside-down fraction. therefore :

(9/1) × (2/3) = (9×2) / (1×3) = 18/3 = 6

so, 6 layers of the cubes fit into the prism.

Officer Brimberry wrote 32 tickets for traffic violations last week, but only 12 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent. [The percent decrease is___%​

Answers

Answer:

62.5 %

Step-by-step explanation:

you have to subtract 32-12, which equals 20

then divide 20 by the original amount (20/32)

20/32= .625, then you have to multiply to get the final answer...hope this helped!

You have 4/3 chocolate bars. You want to give 1/2 of the chocolate bars you have to your friend. What fraction of the chocolate bars would each of you get

Answers

The answer would be 2/3

The fraction 8/3 of the chocolate bars would each of you get.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

You have 4/3 chocolate bars.

You want to give 1/2 of the chocolate bars to your friend.

To find the fraction of the chocolate bars would each of you get:

Use division operation,

4/3 ÷ 1/2

Rearranging to multiplication term,

4/3 x 2/1

= 8/3

Therefore, 8/3  fraction of the chocolate bars would each of you get.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

Olivia reads 72 pages in 40 minutes. How many pages can she read per minute?

Answers

Answer:

1.8 pages a minute

Step-by-step explanation:

Olivia can read 1.8 pages per minute.

Tyrone received the same score on each hand in a card game. His score on each hand was −18. He played 6 hands.

What was Tyrone's final score?

Enter your answer in the box.

points

Answers

-108 points

How?

Because -18×6=-108

------(Showed you some proof from above)

A worker at a snack stand opened a new box of spoons. The first day, the worker used 25 spoons from the box. The second day, the worker used 15% of the remaining spoons in the box. A total of 140 spoons were used on the second day. What was the original number of spoons in the box before any spoons were used?

Answers

The original number of spoons is 958

Let the total number of spoon be x.

The first day, 25 spoons were removed.

So, the remaining spoon (r) is:

[tex]r =x -25[/tex]

15% of the remaining spoon were used.

So, we have:

[tex]15\% \times r =15\% \times (x -25)[/tex]

This 15% represents 140 spoons.

So, the equation becomes

[tex]15\% \times (x -25) = 140[/tex]

Express 15% as decimal

[tex]0.15 \times (x -25) = 140[/tex]

Divide both sides by 0.15

[tex](x -25) = 933[/tex]

Remove brackets

[tex]x -25 = 933[/tex]

Add 25 to both sides

[tex]x= 958[/tex]

Hence, the original number of spoons is 958

Read more about proportion at:

https://brainly.com/question/12182733

26 30 45 43 26 14 28 33 56 29 what is the medain of this data set

Answers

Answer:

26isthemedian

Step-by-step explanation:

y=−2x+7
y=5x−7

x=
y=

Answers

Answer:

x = 2

y = 3

Explanation:

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is L = StartRoot d squared h squared EndRoot. What height on the wall will a 15-foot ladder reach if it is placed 3. 5 feet from the base of a wall?.

Answers

The height on the wall a 15-foot ladder will reach if it is placed 3. 5 feet from the base of a wall is 14.6 feet.

Using Pythagoras theorem,

c² = a² + b²

where

c = hypotenuse

a and b are the other two legs

The ladder length represent the hypotenuse sides

The distance of the ladder to the base of the wall is one of the leg.

The height on the wall the 15 ft ladder reach is the other leg

Therefore,

a² = 15² - 3.5²

a² = 225 - 12.25

a = √212.75

a = 14.5859521458

a ≈ 14.6 feet

learn more on Pythagoras theorem: https://brainly.com/question/13734303?referrer=searchResults

Answer:

C

Step-by-step explanation:

just took the test trust cuties

Please guys I have 10 maybe 20 minutes to get this finished

Answers

Answer:

so there are 100 pennies in one dollar so

100*1000000=100000000

or 100 million

Hope This Helps!!!

One million dollars is
1,000,000
Which is 1.0 * 10^6

A pilot flew a plane from an altitude of 16,400 feet to an altitude of 15,600 feet what was the change in altitude

Answers

Answer: 800 feet.

Step-by-step explanation: 16,400-15,600=800 this is an easier way the find the drop in altitude.

How many terms are in the expression 3xy+2x+1​

Answers

Answer:

4

Step-by-step explanation:

In universal algebra and mathematical logic, a term algebra is a freely generated algebraic structure over a given signature. For example, in a signature consisting of a single binary operation, the term algebra over a set X of variables is exactly the free magma generated by X

kevin's family left on flight 737 to new york.flight 737 traveled 1346 miles in 3 hours.what is the unit rate?

Answers

Answer:

 448 2/3

Step-by-step explanation:

To find miles in 1 hour (the unit rate), divide miles by hours.

  (1346 mi)/(3 h) = 448 2/3 mi/h

The unit rate is 448 2/3 miles per hour.

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

Here we've been given,

Miles (m) = 1346

Time (h) = 3 hours

Unit rate = ?

The standard formula for unit rate is given by,

[tex]:\implies\sf{Unit \: rate = \frac{miles}{hours} } \\ \\ :\implies\sf{Unit \: rate = \frac{1346 \: miles}{3 \: hours} } \\ \\ :\implies\sf{Unit \: rate = 448 \frac{2}{3} \: \frac{miles}{hour} }[/tex]

The unit rate for the flight 737 is 448 2/3 miles per hour.

How many solutions does this system of equations have?


Exactly one

None

Infinitely many

Exactly two

Answers

Answer:

Infinitely many

Step-by-step explanation:

Other Questions
I am always here, but you can never see me.What am I???? Select the correct answer from each drop-down menu.Consider triangles PQR, MNO, and STU, which have resulted from rotating, reflecting, and translating triangle XYZ. would you rather have no homework with a super difficult final or homework everyday but the can' t have any mistakes. Explain why! :) Please write 3 sentences or more. How do I kill all Joestars? Given pr // st. pr = 7 cm. ts = 3cm tq = 5cm what the length of pt what's the net price equivalent rate of 9/15/18 what is the slope of the line? If x is directly propotional to y Given that x=8 and y=2find x=4. Consider the function g(x) shown below over a domain of [1,).g(x) = 2(x 1)2 3Part ADetermine g1(x).Part BIdentify the domain and range of g(x) and g1(x). Represent the domains and ranges in inequality, interval, and set notation. Describe the relationship between the domains and ranges of g(x) and g1(x).Part CGraph g(x) and g1(x). Describe the relationship between the graphs of g(x) and g1(x). 34. The conditions described by Rowlandson were largely the result ofA) growing use of Native Americans as slaves in North America.B) large numbers of British colonists attempting to acquire land in North America.C) European subjugation of African slaves in the new world.D) the development of distinctly different colonial societies. Consider the triangle below.M(15x + 5)--(3x + 2)(5x - 11)NDetermine the measure of angle P.mZPdegrees help please I'm stuck on this question Which European country was home to Muslims? X + y = 12 x - y = 10 what is the value of the x-determinant for the system shown?. I cause acid rain ______.A) water pollution B) air pollutionC) land pollution. D) noise pollution Read the excerpt from Iqbal.Suddenly I realized that I had to get back to work. My mind had wandered. Just in time I managed to recapture a thread I was about to lose. Then the sunbeams were blocked and the two swords of light stopped fighting. We all turned around to see the master standing in the doorway. His big body filled it. He was dressed for traveling, with a long coat that almost reached his feet and boots covered with red dust. In his left hand he held a sack, and his right hand held the arm of a boy in an iron grip. The boy was thin and dark and not very tall; he looked about two years older than me.Which detail from the excerpt best characterizes Hussain as a cruel man?We all turned around to see the master standing in the doorway. His big body filled it.He was dressed for traveling, with a long coat that almost reached his feet and boots covered with red dust.In his left hand he held a sack, and his right hand held the arm of a boy in an iron grip.Hussain headed toward the door. Once there he stopped and pointed his fat finger toward Karim. can someone give me a 12 line poem about an earthquake and how it managed to weave its magical spell Which condition in the figure below will prove l || m? What properties do all solids share? at what rate of simple interest will 4400 amount to 5610 in 5 years 6 months