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

Giving brainlist to whoever answers

Answers

Answer:

10 I believe I really hope it helped!

Step-by-step explanation:

Answer:

That's easy! 10 times

Step-by-step explanation:

60 divided by 6 is 10

A computer randomly selects a number from the given set. {1.2 5 10 25 30 36} What is the probability that an even number is selected? Enter your answer as a fraction, in simplest form, in the box. Pleven) =​

Answers

Answer:

4/7 (I may be wrong)

Step-by-step explanation:

There are 7 numbers, of which 4 are even. This could be %100 wrong/right.

A shirt costs $20. A pair of pants costs 30% more than the shirts. How much do the pants cost?

Answers

Answer:the pants are 26 dollars

Step-by-step explanation:

20.00+30%= 26.00

30%=6.00

find the midpoint of the given points
(-8,4),(3,-4)

Answers

Answer:(-2.5,0)

Step-by-step explanation:

MP=(-8+3/2,4+(-4))=(-2.5,0)

any help is appreciated because I have a probe in a couple of hours

I'm wondering if someone could explain to me being thorough with the steps how 1+1/x² could equal
x²+1/x²

where did the second x² come from??? ​

Answers

1+1/x^2 when multiplied by x^2 we get: (x^2+1)/x^2.

What is the surface area of a rectangular prism that has a length of 4 cm, a height of 14 cm, and a width of 15 cm?
A. 660 cm2
B. 652 cm2
C. 326 cm2
D. 432 cm2

Answers

D or A I guess I am not 100% sure I am 20% sure I don’t really know I guess is D If is wrong maybe is A

Answer:

The answer is b I searched it on goggle and did the math.

Step-by-step explanation:

What is 1/3÷9? hurry!

Answers

Exact Form:

1/27

Decimal Form:

0.037 (with a line over 037)

Researchers are monitoring two different radioactive substances. They have 300 grams of substance A which decays at a rate of 0.15%. They
have 500 grams of substance B which decays at a rate of 0.37%. They are trying to determine how many years it will be before the substances
have an equal mass.
If Mrepresents the mass of the substance and trepresents the elapsed time in years, then which of the following systems of equations can be
used to determine how long it will be before the substances have an equal mass?

Answers

Answer:

231.59 years

Step-by-step explanation:

To model this situation we are going to use the exponential decay function:

f(t)= a (1-b)^t

where f(t) is the final amount remaining after t years of decay

a is the final amount

b is the decay rate in decimal form

t is the time in years

For Substance A:

Since  we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r = 0.15/100 = 0.0015. Replacing the values in our function:

f(t) = a (1-b)^t

f(t) = 300 (1-0.0015)^t

f(t) = 300 (0.9985)^t equation (1)

For Substance B:

Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r=0.37/100= 0.0037. Replacing the values in our function:

f(t) = a (1-b)^t

f(t)= 500 (1-0.0037)^t

f(t)=500(0.9963)^t equation (2)

Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:

M=300(0.9985)^t equation (1)

M=500(0.9963)^t equation (2)

We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :

{M=300(0.9985)^t

{M=500(0.9963)^t

Simplify the following equation

Answers

Answer:

3x - 2

Step-by-step explanation:

Answer:

3x−2

Heart if this helped!

Danielle has to walk 2 miles to reach a hidden temple. She has walked 1 1/4 miles, how many more miles does Danielle need to walk to reach the hidden temple.

Answers

Answer:

[tex]\dfrac{3}{4}\ miles[/tex]

Step-by-step explanation:

Total distance to a temple = 2 miles

She has walked 1 1/4 miles or 5/4 miles

More miles to reach the hidden temple = total distance - walked distance

[tex]=2-\dfrac{5}{4}\\\\=\dfrac{8-5}{4}\\\\=\dfrac{3}{4}[/tex]

So, she has to travel [tex]\dfrac{3}{4}[/tex] miles to reach the hidden temple.

Kelly has $100 she received for her birthday She saves $10 each week from doing chores Which function can be used to find t the amount of money Kelly will have saved

Answers

Answer:

$620 every year

Step-by-step explanation:

Since the question didn't specify how long she would have to save for, let's just assume that it's one year. There are 52 weeks in a year which is $520, and on her birthday she would have an extra $100, so every year she saves $620 in total.

can someone please help me with this?

Answers

Answer:

25 so C

Step-by-step explanation:

15 is 9 than j what is j in this question

Answers

Answer:

6

Step-by-step explanation:

15 is 9 more hence you subtract 9 from15

Hope this helps

Somebody please help me plsssss

Answers

Given:

The radius of the cylinder = 2 cm

Height of the cylinder = 5 cm

To find:

The volume of the cylinder.

Solution:

We know that, the volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

Where, r is the radius and h is the height of the cylinder.

Putting [tex]r=2,h=5[/tex] in the above formula, we get

[tex]V=\pi (2)^2(5)[/tex]

[tex]V=\pi (4)(5)[/tex]

[tex]V=20\pi [/tex]

Therefore, the volume of the cylinder is [tex]20\pi [/tex] cubic cm and its approximate value is 62.832 cubic cm.

What best describes how many real number solutions the equation has?

Answers

Answer:

zero, because the discriminant is negative

Step-by-step explanation:

By writing the quadratic formula, we have the discriminant written in the root as;

b^2-4ac

Now, given the expression, we can see that the discriminant here is -19

What this mean is that we have a negative discriminant

Hence, we can conclude that the roots are complex and as such, none of the roots are real

Can someone please help me and tell me the answers

Answers

I hope this helps you

1) x=180-130.2

x=49.8

2) x+71.5=90

x=90-71.5

x=18.5

3) x+54=90

x=90-54

x=36

4) x+35=180

x=180-35

x=145

I will mark brainliest

Answers

Answer:

I think that it is positive 650.

Answer:

you got it

Step-by-step explanation:

that is itdescribe your answer to gt i wrie u are doing a test

translation math
pls dont give me any link

Answers

Answer: C

Step-by-step explanation:

Challenge How many flowers, spaced every 6 in., are needed to surround a circular garden with a
200-ft radius? Use 3.14 for it.
Williams, Aaily
flowers are needed to surround the circular garden.

Answers

Answer:

1,256 flower

Step-by-step explanation:

First, we need to calculate the circumference of the circle. The formula for the circumference of the circle is:

C

=

2

π

r

If we substitute

100

ft

for

r

and use

3.14

to approximate

π

we get a circumference of:

C

=

2

3.14

100

ft

C

=

6.28

100

ft

C

=

628

ft

We can now convert the circumference in feet to inches;

628

ft

×

12

in

1

ft

628

ft

×

12

in

1

ft

628

×

12

in

7536

in

To find how many flowers we need we can divide the circumference in inches by the 6 inches between flowers giving:

7536

in

×

1

flower

6

in

7536

in

×

1

flower

6

in

7536

×

1

flower

6

7536

flower

6

1256

flower

You would require 1,256 flowers

Josea went out to dinner at an Indian restaurant. The
total bill was $38. She wanted to leave a 15% tip.
If you use the idea of scaling to find the tip amount,
what would she need to multiply by?

Answers

She will give 43.70




H


Write the linear equation given slope and point.
(-4,-7); slope = 3

Answers

Answer:

Step-by-step explanation:

Use the "point-slope" formula for the equation of a straight line,

y - k = m(x - h)

Here the slope, m, is 3 and the line passes through (h, k):  (-4, -7), so the proper equation in this case is

y - (-7) = 3(x + 4), or:

y + 7 = 3(x + 4).

If you wish you may rewrite this equation in slope-intercept form, as follows:

y = 3x - 7 + 12, or y = 3x + 5

Find the area of given shape.

Answers

Answer:

124

Step-by-step explanation:

Find area of rectangle

than arrow

then add

Answer:

144

Step-by-step explanation:

The ratio of cyclists to pedestrians on a certain trail was 2 to 7. If there were 27 people on the trail, how many more pedestrians were there than cyclists?​

Answers

Answer:

15 more pedestrians than cyclists

Step-by-step explanation:

2:7 ratio tells us two cyclists for every seven pedestrians so out of every 9 people 2 are cyclists and 7 are pedestrians.

27/9=3

So we have 3 groups of 9...

3×2=6

&

3×7=21

so

6 cyclists and 21 pedestrians

subtract cyclists from pedestrians to find difference...

21-6=15

A population of 120 beetles increases at an annual rate of 30%. How many beetles will there be in 16 years? Write an expression to represent the equivalent monthly population increase rate.

Answers

Answer:

Expression: [tex]120(1.3)^{16}[/tex]

Beetles after 16 years: 7984 beetles

Step-by-step explanation:

Since the population increases 30% annually every year on the population size of that year, then we need to use a compound interest formula which would be the following

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

A = the future amount

P = the initial amount

r = the annual increase rate (decimal)

n = the number of times that interest/increase is compounded per unit t

t = the number of years

Using the values in the question the expression for this scenario would be the following

120(1 + (0.30 / 1))^(1*16)

[tex]120(1.3)^{16}[/tex]

7984.99

Is u = 105 a solution to this equation

Answers

Answer:

im sorry what?

Step-by-step explanation:

GIVING BRAINLIEST!!!!!PLS HELP!!!!!! :((

(28+7+6+3) x 1/2

SHOW UR WORK PLS

Answers

Answer:

22

Step-by-step explanation:

28+7+6+3=44

44/2 or 44*1/2 = 22

28+7+6+3=44
44 x .5= 22

Please help me with this question!!

Answers

Answer:

Step-by-step explanation:

Mabye 7?

2x + 11 = 5
If a and b are the solutions to the equation above, what is the value of |a – b| ?

Answers

Answer:

x = 3

Step-by-step explanation:

2x + 11 = 5

- 11          -11

2x/2         6

x        =     3

A person paid by the hour works 22 hours a week and makes $459. How much would they make if they work 39 hours?

Answers

Answer:

813.681818182

(That's the exact number, but you can circle it to 813.7 )

Step-by-step explanation:

459%22=20.8636363636

20.8636363636 x 39= 813.681818182

Can someone help me with this. Will Mark brainliest. Need answer and explaination/work. Thank you.

Answers

Answer:

Yes, quadrilateral MATH is a rectangle.

Step-by-step explanation:

If you plot the coordinates onto a graph, you will get a rectangle. You can determine it is a rectangle because there are four right angles, and two adjacent sides that are equal in length.

M (-4,-1)

A (-3,2)

T (3,0)

H (2,-3)

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