The graph of y = Ab^x, where A and b are
constants, passes through (2, 2) and
(5, 16). Find the value of A and of b.

Answers

Answer 1

Answer:

A = 1/2, b = 2

Step-by-step explanation:

Inputting (x, y) into y = Ab^x we know that

point (2, 2):

2 = Ab^2

point (5, 16):

16 = Ab^5

So:

16/2 = Ab^5 / Ab^2

8 = b^3

b = 2

Now inputting point (2, 2) with b = 2

2 = A*2^2

2 = 4A

A = 1/2


Related Questions

Sandra notices a fourth racer called the Whirlwind. Its poster says it covers 1232 yards in 180 seconds. She wants to compare the Whirlwind with the other racers. What is the Whirlwind's speed in yards per seconds to the nearest tenth?

Answers

Answer:

6.8yards/seconds

Step-by-step explanation:

Speed = Distance/Time

Given the following

Distance covered = 1232 yards

Time taken = 180 seconds

Substitute to get the speed

Speed  = 1232/180

Speed  = 6.84

Hence whirlwind's speed in yards per seconds to the nearest tenth is 6.8yards/seconds

A triangle has angle measurements of 44 degrees,87 degrees, and 49 degrees. What kind of triangle is it? acute,right, and obtuse.

Answers

i think it should be obtuse but i am not sure

Bill is a painter, who has been hired to paint a house.
• He receives an houry rate of $35 an hour.
• The materials Bill had to purchase cost $50 for the job.
• The amount of money Bill makes in profit, after working "x" hours, is modeled by the function:
f(x) = 352 – 50
Determine Bill's profit after working 10 hours.

Answers

Answer: 300

Step-by-step explanation: Math - 35X10-50

I may be wrong sorry!

Replace x with 10 in the given function.

We are seeking f(10).

f(10) = 35(10) - 50

f(10) = 350 - 50

f(10) = 300

After 10 hours, Bill's profit is $300.

Q. Identify the slope-intercept equation

Answers

Y=2x+4
Please give me Brainliest

A restaurant surveys customers with the following results: 8 pizzas, 12 hamburgers, 14 pastas, and 6 steaks. What is the experimental probability of pizza or steak?P(pizza or steak)

Answers

Answer:

To find the experimental probability you have to find the number of times the event occurred and the number of times the activity is preformed then divide the two numbers

Step-by-step explanation:

I’m not quite sure on the answer I believe it’s 1.3

have a great day!

brainliestif correct I need 4 more to rank up thanks!

The number of songs Oliver has downloaded this year, divided by 12, is equal to 24. What is an equation that represents this situation, and how many songs has Oliver downloaded?
A. 12d = 12: d = 1 song downloaded
B. 12d = 24: d = 2 songs downloaded
C. d12 = 24: d = 288 songs downloaded
D. b12 = 12: d = 144 songs downloaded

Answers

Answer:

c

Step-by-step explanation:

24×12=288 songs downloaded

this is because you have to do opposite operations according to one of the operations of math

An equation that represents the given situation is d/12 =24, and the number of songs Oliver has downloaded is 288. So, option C is the correct answer.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, the number of songs Oliver has downloaded this year, divided by 12, is equal to 24.

Let the number of songs downloaded be d.

So, the equation is d/12 =24

d=288

The equation to represent the scenario is d/12 =24. Therefore, option C is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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Consider the given circle with indicated diameter.
What is the circumference of the circle in terms of pi?
(C = id)
7
14
21
28

Answers

Answer:

a. C=7π

b. C=14π

c. C=21π

d. C=28π

Step-by-step explanation:

To find the circumference, you need to multiply the diameter (d) by π times i.e. C=πd.

Rearrange the formula:
C = (F - 32)
to make F the subject
help

Answers

Answer:

f=c+32

Step-by-step explanation:

Eliminar paréntesis.

c=f-32

c=f−32

2 Suma 3232 a ambos lados.

c+32=f

c+32=f

3 Intercambia los lados.

f=c+32

f=c+32

C = (F - 32)

C = F - 32 (remove the bracket)

- F = - 32 - C (change the subject to F)

F = 32 + C (remove the negative sign from the subject & change the sign to everything at the right hand side)

Final answer , F = 32 + C

Hope this helps!!

True or false.

A counter-clockwise turn of 270° will land you at the same location as a 90° clockwise turn.

Answers

True. There is no difference between the two, they are the same thing and any time you will come up to the same place.

Kayden was offered a job that paid a salary of $39, 500 in its first year. The salary
was set to increase by 2% per year every year. If Kayden worked at the job for 9 years,
what was the total amount of money earned over the 9 years, to the nearest whole
number?

Answers

Answer:

FV= $385,307.82

Step-by-step explanation:

Giving the following formula:

Annual salary (A)= $39,500

Growth rate (g)= 2% annual

Number of years (n)= 9 years

To calculate the total amount earned over 9 years, we need to use the following formula:

FV= {A*[(1+g)^n-1]}/g

A= annual deposit

FV= {39,500*[(1.02^9) - 1]} / 0.02

FV= $385,307.82

What is (0, 2) reflected over the x-axis

Answers

Answer:

(0,-2)

Step-by-step explanation:

plot the point and reflect it over the x axis

find the prime factors of 24 please hurry??!!!

Answers

Answer:

So, the prime factorisation of 24 are 2 × 2 × 2 × 3 or 23 × 3, where 2 and 3 are the prime numbers.

Step-by-step explanation:

Hope it helps!

Round to the nearest tenth.
7.61577310586

Answers

Answer:

7.6

Step-by-step explanation:

1is less than 5 so let it rest


These two polygons are similar.
4
2
9
16
15
w
w = [? ]


45 points asap for anyone who can answer

Answers

6/2=3
The scale factor is 3
3x3=9
w=9

find the volume of this shape please helppp

Answers

Answer

.

[tex] = 1.540 \: {cm}^{3} [/tex]

.

Explain

.

Use this formula :

[tex] = \pi \times {r}^{2 } \times t[/tex]

[tex] = \frac{22}{7} \times {( \frac{14}{2} )}^{2} \times 10 \\ [/tex]

[tex] = \frac{22}{7} \times {7}^{2} \times 10 \\ [/tex]

[tex] = \frac{22}{ \cancel7} \times \cancel{49} \times 10 \\ [/tex]

[tex] = 22 \times 7 \times 10[/tex]

[tex] = 154 \times 10[/tex]

[tex] = 1.540 \: {cm}^{3} [/tex]

.

#LearnWithBrainly

gak bisa bahasa inggris :(

If AC = 9 cm and tan ABC = 0.75, what is the length of BC?

Answers

Answer:

12 cm confirm ...................

From the concept of trigonometric ratios, we determine the length of the side  BC is 6.75 cm.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, The length of the side AC = 9cm.

The measure of tan∠ABC = 0.75.

We know tan = opposite/adjacent.

Here, the opposite is AC and adjacent is BC.

Therefore, 0.75 = 9/BC.

BC = 9×0.75.

BC = 6.75.

learn more about trig ratios here :

https://brainly.com/question/14977354

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What is an equation of the line that passes through the point -5,7 and is parallel to the line x-5y=15

Answers

Answer:

Step-by-step explanation:

Let line to be found be Line 2

Given:

Line 1

x - 5y = 15

x - 15 = 5y

Therefore slope = 1/5

Line 2

Point = (-5,7)

Slope = 1/5

Therefore: 7 = (1*-5)/5 + c

=> 7 = -1 + c

=> c = 8

Therefore equation: y = x/5 + 8

PLSSSS HELPPP ILL GIVEE COOKIE

Answers

Answer:

Sorry. It is 4.

Step-by-step explanation:

Again, where is my cookie?

i think the answer is four

Will make brain list

Answers

For h(x), to find out the maximum, you would need to use this formula: [tex]c-(\frac{b^{2} }{4a} )[/tex]

We are given the equation: [tex]h(x)=-x^{2}+4x-2[/tex].

So, a = -1, b = 4, and c = -2. Then, substitute the numbers into the formula:

h(x)'s maximum = [tex]c-(\frac{b^{2} }{4a} )[/tex]

                          = [tex](-2)-(\frac{(4)^{2} }{4(-1)} )[/tex]

                          = [tex](-2)-(\frac{16 }{-4} )[/tex]

                          = [tex](-2)-(-4)[/tex]

                          = [tex]2[/tex]

For g(x), to find out the maximum, just look at the highest point of y on the graph of the function, which is 2.

Thus, the answer you have chosen is the correct answer, which is choice 3: functions g and h have the same maximum of 2. Hope this helps :)

Thomas is opening a savings account. Which integer represents his possible balance after making a deposit
A -10
B-5
C 0
D 10

Answers

i think the answer is b
i think it’s D

because it the only positive

Classify the triangle based on its angles.

Answers

Answer:

Acute triangle (Also a scalane triangle)

Step-by-step explanation:

G ,J and H are all acute

pls help asap! ill give brainliest:))

Answers

Answer:

the answer should be 38.75

BRAINLIEST Find the measure of the side indicated (x). Round to the nearest tenth. Show your work to support your answer

Answers

The correct answer is 13.78. You get this by doing 11/cos37.

HELPPPPPPPPPPP MEEEEE

Answers

Answer:

The answer is F

She read it incorrectly

Step-by-step explanation:

I need help its not 4236

Answers

Answer: 4236

Step-by-step explanation: I used a calculator. If it's wrong, tell your teacher/instructor.

Rewrite the function in standard form.
f(x)= 3(x + 5)2 - 7

Answers

Answer: F= 29
Explanation: first use distributive property and multiplied by three with the parentheses. And then multiply to by what you just solved. Remember to keep writing everything that we haven’t used yet. Then divide both the left side and the 6X by X. Then subtract 30 by 7. And add six. I hope this helped

what is this value? giving thanks and marking brainliest :)

Answers

Answer:

x = 23 degress

Step-by-step explanation:

(x + 2) + 65 = 90

x + 2 = 25

x = 23 degress

The length of a rectangle is represented by the polynomial 2x^3-5x^2+8 and the width is represented by the polynomial x+3. Complete the following statements about the polynomial that represents the area of the rectangle

Answers

Answer:

Area = 2x^4  + x^3 - 15x^2 + 8x + 24

Step-by-step explanation:

A = (x + 3)(2x^3 - 5x^2 + 8)

A = 2x^4 - 5x^3 + 8x + 6x^3 - 15x^2 +24

combine like terms:

Area = 2x^4  + x^3 - 15x^2 + 8x + 24

Write an equivalent ratio for 1:2

Answers

Answer:

2:4

Step-by-step explanation:

Answer:

3:6

4:8

5:10

6:12

7:14

8:16

etc...

Sally's huge dog weighed 175 pounds in 2018 and then weighed 145 pounds in 2020. What was the rate of change in weight?
pounds per year?

Answers

Answer: 15 lbs per year

Step-by-step explanation:

Huge dog lost 30 lbs in a span of 2 years so divide to find rate of change which is 15lbs per year

Answer: -15 pounds per year

Step-by-step explanation:

We can first list out all the information like Year, Weight

so (2018, 175) and (2020,145)

It asks to find the slope, so we just use the slope formula

175-145/2018-2020 = 30/-2 which is -15

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