Which exponential function goes through the points (1,32) and (4,2048)

Answers

Answer 1
Answer:

Answer:

y=8*4^x

Step-by-step explanation:

Let the exponential function be of the form y=A*B^x

We want to find constant A and B.

So I'm going to use (1,32) giving me 32=A*B

I'm going to use (4,2048) giving me 2048=A*B^4

2048/32=64

A*B^4/A*B=B^3

So If you divide the equation 2048=A*B^4 by 32=A*B

we get 64=B^3

which gives us B=4

Since 32=A*B and B=4 then A=8

So the answer is y=8*4^x


Related Questions

Subtract 3a^2+5ab−4b^2 from 8a^2−6ab+4b^2
I'm not sure how to do the math for this
write in slope intercept form an equation of the line that passes through the points (-4,2) and (6,-3)
The length of ​ AB¯¯¯¯¯ ​ is 10 inches. A dilation with a scale factor of 25 is applied. What is the length of the image of ​ AB¯¯¯¯¯ ​ ?
Express 756 as a product of its prime factors

Round to the place value of 4 in 934567

Answers

93500 would be the answer.

:)

A hot tub has capacity of 1458 liters 487 liters and 750 ml were put in how much more needs to be put in

Answers

Well the easiest way we can do it is convert liters in to milliliters and since there are 1000 milliliters in a liter multiply 1458 by 1000 and 487 by 1000 which will get you 1458000 milliliters of capacity and the 487 liters turns into 487000 mililiters we add this to the 750 milliliters  to get 487750 milliliters. Now it is all a matter of subtracting to find out how much more needs to be put in. 1458000-487750=970250  milliliters. So the amount needed to fill the hot tub is 970250 ml or if you want to convert it back to liters 970.250 l

Final answer:

First convert all volumes to the same unit. After converting 750 ml to 0.75 liters, sum this with the 487 liters already added to get 487.75 liters. Subtract this from the total capacity of 1458 liters to get 970.25 liters, which is the additional volume needed to fill the hot tub.

Explanation:

To determine how much more water needs to be put into the hot tub, you need to subtract the volume of the water that has already been added from the hot tub's total capacity.

First, you need to convert all the volumes to the same unit. Since the total capacity of the hot tub is given in liters, it would be best to convert the 750 ml to liters. As 1 liter is equal to 1000 ml, 750ml is equal to 0.75 liters. So, the total volume of the water that has been added to the hot tub now is 487 liters + 0.75 liters, which equals 487.75 liters.

Subtract this volume from the total hot tub capacity: 1458 liters - 487.75 liters equals 970.25 liters. So, 970.25 liters more water needs to be added to the hot tub to fill it to its total capacity.

Learn more about Volume Calculation here:

brainly.com/question/32822827

#SPJ3

tamelas school day is 6 3/4 hours. She has seven classes that are 3/4 hour long. How many hours is Tamela not in class while she is at school

Answers

One hour And 30 minutes

Answer:

1 HOUR 30 MINS

Step-by-step explanation:

Need help on 41-44 please

Answers

41:1/4  42:1/12 43:-2/6 44:2/5
Look up what rational means and then you will understand what to do

At Roberts Middle school 11/30 of the books in the library were more than 50 years old. At the end of the year 1/10 of those books were given to charity.What fraction of all the books was given to charity?

Answers

Solution:
( (11)/(30) )( (1)/(10) ) =  (11)/(300)

Fay travels 56 kilometers in 8 hours.How many kilometers will she travel in a day?

Answers

There are 24 hours in a day. 8 hours x 3 = 24 hours.

56 kilometres x 3 = 168 kilometres

----------

If Fay continues to travel at this current speed without stopping, she will end up travelling a distance of 168 kilometres in a day.
She would travel 7 kilometers in one day because 56/8=7