Write an exponential function for the graph that passes through the points (0,4) and (2, 36). Use the formula y=ab^x​

Answers

Answer 1

Answer:

Using the equation y = abx , substitute both of your given points into that equation.

2 = ab2 and 4 = ab3   Solve each equation for a.

2⁄b2    and 4⁄b3 = a     Therefore, 2⁄b2 = 4⁄b3

                                   

Cross multiply: 2b3 = 4b2     Divide both sides by b2

2b = 4      a = 2/4 = 1/2

b = 2

y = 1 (2)x

     2

Step-by-step explanation:


Related Questions

give the correct triangle congruence theorem

Answers

I think it’s A. Don’t hate if it’s wrong please!

A rectangle is 4 times as long as it is wide. If the area is 64 square feet, find its perimeter

Answers

Answer:

40 feet

Step-by-step explanation:

long sides are 16

short sides are 4

Perimeter is l + l + w + w

so 16 + 16 + 4 + 4

= 40

The perimeter of the given rectangle is 40 feet.

What is the perimeter of a rectangle?

The perimeter of a rectangle is defined as the sum of all the four sides of the rectangle.

The perimeter of a rectangle = 2( l + b)

It is given that rectangle is 4 times as long as it is wide. If the area is 64 square feet,

The area is 64 square feet = l x w

So,

The long sides are 16

The short sides are 4

Perimeter = 2 (l + w)

Perimeter = 2( 16  + 4)

Perimeter = 40

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

someone please help me answer this

Answers

Answer:

32 kilometers

Step-by-step explanation:

65 - 33 = 32 kilometers

Hope this helps

Answer:

b = 56km is the answer.

Step-by-step explanation:

a (Northbound train) = 33km

b (Eastbound train) = ?

c (Distance between them) = 65km

According to the Pythagorean theorem,

a² + b² = c²

33² + b² = 65²

1089 + b² = 4225

b² = 4225 - 1089

b² = 3136

b = 56km

∴ the eastbound train has travelled 56km.

Can someone help me with this question please?

Answers

Answer:

35

Each sequence has a difference of eight numbers so we add 8 numbers in each sequence

Answer:

a) (i) 36

(ii) previous+8

b) 75

Step-by-step explanation:

a) (i) 27+8=36

(ii) previous+8

b) 10 th term is 3+9×8= 75

Automated manufacturing operations are quite precise but still vary, often with distribution that are close to Normal. The width in inches of slots cut by a milling machine follows approximately the N(1,0.001)N(1,0.001) distribution. The specifications allow slot widths between 0.999750.99975 and 1.000251.00025. What proportion of slots meet these specifications

Answers

Answer:

The answer is "15.85%"

Step-by-step explanation:

The complete question is defined in the attachment file please find it.

Given:

[tex]\mu = 1\\\\\sigma = 0.001 \\\\[/tex]

Converting the Standard Normal:

[tex]\to P(X < x) = P( Z < \frac{( X - \mu )}{\sigma} )\\\\\to P ( 0.9998 < X < 1.0002 ) = P ( Z < \frac{( 1.0002 - 1 )}{0.001}) - P ( Z < \frac{( 0.9998 - 1 )}{0.001})\\\\[/tex]

                                           [tex]= P ( Z < 0.2) - P ( Z < -0.2 )\\\\= 0.5793 - 0.4207\\\\= 0.1585\\\\= 15.85\%\\\\[/tex]

Find mZDOC.
A)
22°
B)
44°
C)
107
D)
126

Answers

Answer: [tex]107^{\circ}[/tex]

Step-by-step explanation:

[tex]m\angle DOC=\frac{170+44}{2}=\boxed{107^{\circ}}[/tex]

Is the following number rational, irrational, or nonreal.​

Answers

Answer:

nonreal of course......

Two students were asked if they liked to read. Is this a good example of a
Yes, this is a good statistical question because a variety of answers
Yes, this is a good statistical question because there are not a varie
No, this is not a good statistical question because there are not a
No, this is not a good statistical question because there are a van

Answers

Answer:

C. No, this is not a good statistical question because there are not a.

Step-by-step explanation:

Because you need a big amount of people to ask for it to be a A good statistical question.

Your welcome! Please mark brainliest!

(Or please correct me if I'm wrong)

Hi his figure is made up of unit cubes, each with a volume of 1 cubic unit.
What is the volume of the figure?
( photo is attached)
(Will give brainliest if you help)

Answers

Answer:

D. 100 cubic units

Step-by-step explanation:

There are 10 cubes in each layer (count at the top) and 10 layers (from top to bottom) in total. Multiply these to get volume.

10 x 10 =100

Answer:

B. 60 cubic units

Step-by-step explanation:

Formulas for a cube:

The volume of a cube:

V = a3

The surface area of a cube:

the area of each face (a x a) times 6 faces

S = 6a2

Face diagonal of a cube:

By the Pythagorean theorem, we know that

f2 = a2 + a2

Then f2 = 2a2

solving for f we get

f = a√2

Diagonal of the solid cube:

Again, by the Pythagorean theorem, we know that

d2 = a2 + f2

substituting f into this equation we get

d2 = a2 + (a√2)2 = a2 + 2a2 = 3a2

solving for d we get

d = a√3

find the numerical coefficient of 7x^3​

Answers

Answer:

7

Step-by-step explanation:

Find the distance between the pair of points (3, 5) and (-3, 8)

Answers

Answer: 3

Step-by-step explanation:

Write an equation in slope and intercept form of the line (0,4) and (2,0)

Answers

Answer:

y = -2x + 4

Step-by-step explanation:

1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,4) and (2,0) into it. Then, solve:

[tex]m = \frac{(0)-(4)}{(2)-(0)} \\m =\frac{0-4}{2-0} \\m = \frac{-4}{2} \\m = -2[/tex]

So, the slope is -2.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that the line intersects (0,4), and that point has an x-value of 0. Thus, it must be the y-intercept.  

3) With the found information, write the equation of the line in slope-intercept form, represented by the equation [tex]y = mx + b[/tex]. The [tex]m[/tex] , or the coefficient of the x-term, represents the slope. So, substitute -2 in its place. The [tex]b[/tex] represents the y-intercept of the line, so substitute 4 in its place. This gives the following answer:

[tex]y = -2x + 4[/tex]

PLEASE HELP
The Miller family spent a total of $317.05 hosting a party for their grandparents' 50th wedding anniversary. They spent $48.55 on decorations and $8.95 per person on food.

Which equation could be used to find the number of people (x) at the anniversary party?

A.
48.55 + 8.95x = 317.05
B.
48.55x + 8.95 = 317.05
C.
48.55x − 8.95 = 317.05
D.
48.55 − 8.95x = 317.05

Answers

the answer is A.
the decorations were a total of 48.55 , and we know that per person the cost is 8.95 , but since we don’t know how many people went , your variable would be attached there

SOMEONE CAN HELP ME , PLEASE I NEED THIS NOW

Answers

You have 2 shapes, a rectangle and a half circle.

Area of rectangle = 3 x 8 = 24

Area of a half circle = 1/2 x pi x r^2

Area of half circle = 1/2 x 3.14 x 4^2

Area of half circle = 25.12

Total area = 24 + 25.12 = 49.12 square units

Answer:

You have 2 shapes, a rectangle and a half circle.

Area of rectangle = 3 x 8 = 24

Area of a half circle = 1/2 x pi x r^2

Area of half circle = 1/2 x 3.14 x 4^2

Area of half circle = 25.12

Total area = 24 + 25.12 = 49.12 square units

finished

What is the value of
5
5 units, as a fraction greater than
1
1?

Answers

The value of 5 units as a fraction greater than 1 is 5x>1x>.2.2=2/10 Answer is 2/10 you welcome!

Please help I’ll mark you as brainliest if correct

Answers

Answer:

I think it is 75

Step-by-step explanation:

because you divide 45 by 3 to get 15 then 15 x 5 is 75:)

75:45
Step-by-step explanation:
3*15=45
5*15=45

find area and perimeter. plz help very important

Answers

Answer:

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.

Step-by-step explanation:

Can someone please tell 5% as a fraction

Answers

Answer:

5/100 = 1/20

Step-by-step explanation:

5% = .05 = 5/100 = 1/20

Esteban wants to take out a $5,000 loan from the bank and is offered two choices. If he pays the loan back within 3 years, he will make monthly payments of $148.07. If he pays the loan back within 5 years, he will make monthly payments of $92.53. How much more will he pay in interest ifhe chooses the 5-year loan???

Answers

Answer:

ESTEBAN IS FOKING BROKE

Step-by-step explanation:

10. Which of these is NOT a perfect square?
a. 81
b. 100
C. X2
d. 42

Answers

Answer: 42 is not a square of a whole number

Step-by-step explanation: 81= 9², 100= 10², x²= x·x, 6²= 36 and 7²= 49

520 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 4 hours. How long would it be, to the nearest tenth of an hour, until there are 33980 bacteria present?

Answers

Answer:

24.1

Step-by-step explanation:

Write an expression for "two multiplied by t".
Please help!!
10 POINTS

Answers

Answer:

2*t

Step-by-step explanation:

That should be it...

Just multiply 2 by t

Answer:

2t

"t" is the variable, and is similar to something that would look like this: 2(2)

i think you're overthinking this but I'll help out if I'm wrong

If AB = 10 and m_A = 20° , find AC . Round to the nearest tenth.

Answers

Answer:   9.397

Step-by-step explanation: c = a·sin(C)/sin(A) = 9.39693

Please help, will give brainliest

Answers

Uhhh i think the answers A

Can someone help me pls

Answers

Solution:C=2πr=2·π·8≈50.26548

ROUND TO THE NEAREST TENTH: 50.3

Hope this helps! :)

Answer:

50.2 in.

Step-by-step explanation:

To find the circumference of a circle, multiply the radius by 2, or multiply the diameter by pi.

Here, only the radius is displayed.

8 ⋅ 2 = 16.

16 is the diameter.

Now we can multiply the diameter by pi to get the circumference.

16 ⋅ 3.14 = 50.24

50.24 rounded to the nearest tenth is 50.2

Again, the formula for circumference is diameter ⋅ π (pi).

Therefore, 50.2 in. is the circumference of this circle.

Explain what median is and how to solve for it

Answers

The median is the middle value in the list of numbers. to find the median list your numbers from smallest to largest and find the middle!

Answer: See below

Step-by-step explanation:

Median is the value that separates the higher data and lower data. In simple terms, it is the "middle" value of the whole set of data. There are two different ways to solve for the median.

1. If the data set has an odd number of values, line the values up in increasing order. Then the value or number that lies in the middle will be the median.

For example, if we are given a data set {1, 3, 4, 2, 5}. First, we line them up by increasing order, which becomes {1, 2, 3, 4, 5}. Since it is an odd number set, we can directly get the median which is 3.

2. If the data set has an even number of values, line the values up in increasing order. Then there will be two number that lies in the "middle" together. We add them up and divide them by 2. The average of the two numbers will be the median of the set.

For example, if we are given a data set {2, 6, 4, 10, 8, 12}. First, we line them up by increasing order, which becomes {2, 4, 6, 8, 10, 12}. Since it is an even number set, we get our median from the two numbers in the middle, which are {6, 8}. We add them together to get 14 and then divide by 2 which is 7. So the median will be 7.

Hope this helps!! :)

Please let me know if you have any questions.

what is 1 1/3 as a single fraction

Answers

Answer:

Step-by-step explanation:

The mixed number 1 1/3 is equal to the improper fraction 4/3.

Answer:

4/3

explanation:

Erin competes in track meets. She has won blue ribbons and red ribbons. For every 3 blue ribbons she has won, she has won 2 red ribbons. At this rate, how many red ribbons will Erin have won after she has won 9 blue ribbons?

Question 9 options:

6 red


4 red


5 red


11 red

Answers

Answer:

the answer is A. 6 red

Step-by-step explanation:

3*3=9 3*2=6

Try to answer this question for me pleaseee

Answers

Answer:

H

Step-by-step explanation:

180-48=132

Whoever tells me the correct answer gets brainlest and thanks . please help me thanks!

Answers

Answer: Rectangle and Parallelogram

Step-by-step explanation:

Answer:

One could be a parallelogram that does not contain an internal right angle and the other a rectangle.  

Step-by-step explanation:

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