Answer:
We have:
f(x) = 14*(5)^x
And we want to write this in the form:
g(x) = A*e^(k*x)
We want to have f(x) = g(x)
This is ratter easy.
The general case is:
A*(r)^x = B*e^(k*x)
Here we have:
A = B
Then:
(r)^x = e^(k*x)
Now we can remember the relation:
(a^x)^y = a^(x*y)
Then we can write:
e^(k*x) = (e^k)^x
Then we have:
(r)^x = (e^k)^x
Then we must have:
r = e^k
Now let's go to our case:
14*(5)^x = A*e^(k*x) = A*(e^k)^x
Then we have:
14 = A
5 = (e^k)
With this equation we can find the value of k.
ln(5) = ln(e^k) = k
ln(5) = k
Then the equation g(x) is:
g(x) = 14*e^(ln(5)*x)
Answer:
A0=14 k +ln9
Step-by-step explanation:
To rewrite the model with the base e, we use the fact that for all b>0,
b=eln(b)
Using this property, and then the power property of logarithms, on 9x, we find that
(9)x=eln(9x)=exln(9)=e(ln(9))x
So we find that
14(9)x=14eln(9)x
So A0=14 and k=ln(9).
What is the missing number?38/152 19/?
A.76
B.78
C.86
D.304
plz plz plz plz hury
Answer:
76
Step-by-step explanation:
Hope this helps
Answer:
A
Step-by-step explanation:
Está más lejos del parque...
Estándar curricular: Utiliza sistemas de referencia
Está más cerca del restaurante..
la gasolinera
el parque
el teatro
la bibliote
su ubicación
Answer:
slip/ do/ flapYvessshtvdBmto
Answer:
que sesupone que hay que hacer
To prepare for school you need 3 notebooks for $1.09 each, 2 boxes of pencils for $2.68 each and a pack of markers for $0.89. How much will this cost?
ASAP ill give brainliest
Answer:
$9.52
Step-by-step explanation:
1.09 x 3 = 3.27
2.68 x 2 = 5.36
3.27+5.36+.89=9.52
Suma a 5 numere consecutive pare egale cu diferenta numerelor 397 si 327. Care sunt numerele?
Va rog repede dau coroana.Cu intrebari si metoda figurativa clasa a ||| a
Answer:
Step-by-step explanation:
n+(n+1)+(n+2)+(n+3)+(n+4) = 397-327
5n+10 = 70
n = 12
numerele consecutive sunt 12, 13, 14, 15, 16
50 points to whoever can answer!
Answer:
D
Step-by-step explanation:
I think I'm not sure about that
The table shows the number of volleyballs that fit into a given number of containers. Each container holds the same number of balls. Enter the missing value from the table.
Answer: 7
Step-by-step explanation:
It's a 1 : 3 ratio so the answer should be 7
If three independent events happen one after the other, which of the following sample space tools cannot be used?
a list
a tree diagram
a table
If three independent events happen one after the other, a list of the sample space tools cannot be used.
correct option: A list
What is an independent events?If the likelihood of the occurrence of one event has no bearing on the likelihood of the other, then the two occurrences are independent. The likelihood that both events A and B will occur is defined mathematically as being equal to the product of the probabilities of A and B. This is how independent occurrences A and B are expressed mathematically.
Thus, if three independent events happen one after the other, a list of the sample space tools cannot be used.
correct option: A list
To know more about independent events refer to:
https://brainly.com/question/27665211
#SPJ1
A car weighs 4,000 pounds wich comparison is true
A.4,000 pounds < 2 tons
B. 4,000 pounds > 2 tons
C. 4,000 pounds < 8,000 ounces
D. 4,000 pounds = 2 tons
Answer:
D
Step-by-step explanation:
2000=1 ton so 4000=2tons
Answer:
D 4000 pounds=2 tons
Step-by-step explanation:
2 tons is equal to 2000 pounds so 2 tons equal to 4000 pounds.
Find the sum of 1/3x+5 and 8+2/5x.
Answer:
11/15x+ 13
Step-by-step explanation:
find the common denominator 15 x
Suppose Nancy has 15 sorts of colors black, red, and of wschure black and were
What is the probability
randomly selected stw be blue
Answer:
Hi there here is the answer!
Step-by-step explanation:
Out of the 3 main chioces there is a total of 15!
so, it would be a probability of 5/15. or 1/3 / 1:3
Juan wants to buy some protein bars and magazines for a trip.
He has decided to buy three times as many protein bars as
magazines. Each protein bar costs $0.70 and each magazine
costs $2.50. The sales tax rate on both types of items is 734%.
How many of each item can he buy if he has $20.00 to spend?
What Is the answer I don’t know
Answer:
HI there! I am really sorry if i get this wrong, but please apperciate!
Thank you! :)
Step-by-step explanation:
So I worked this out like this:
Protein bars: 0.70 * 3 = 2.1
Magezines: 2.50
734% are the taxes as it was written. 734% decimal version is 7.34.
This is what I did next:
7.34 plus 2.1 times 2 equals 18.88. So, you can buy 2 protein bars.
7.34 plus 2.50 times 2 equals 19.68. So, you can also buy 2 magazines!
I hope this helps! Let me know if this is wrong. Thanks and have a nice day!
The original price of the Kindle is $269.99.
If the Kindle was 15% off, what is the discounted price of the Kindle?
Answer:
229.4915
Step-by-step explanation:
you first find 15% of $269.99 which is 15/100 * 269.99
which is 40.4915
and since you are finding the discounted price
you subtract 40.4915 from 269.99
= 269.99-40.4915
=229.4915
dont forget to put the unit ($)
=$229.4915
Which of the following is an example of an inversely proportional relationship?
A inversely proportional relationship happens when one value increases while the other decreases. One example coule be the faster a vehicle travels, the less time it takes to reach its destination.
Best of Luck!
on zeba's birthday,her uncle gift her two new dolls. in how many ways can zeba arrange all her dolls on 6 shelves, placing one doll on each shelf?if she has 4 dolls before
(a) 720
(b) 30
(c) 360
(d) 6
Answer:
6 is the correct answer
Step-by-step explanation:
Hope it is helpful...
6x-6y=23 find y when x=8
Answer:
y= 4.166
If rounded to the nearest tenth
y = 4.2
Step-by-step explanation:
6x - 6y = 23
x = 8
6x - 6y = 23 (Sub in the x with 8)
6(8) - 6y = 23
48 - 6y = 23 (Subtract each side by 48)
-6y = 23 - 48
-6y = -25 (Divide each side by -6)
y = 4.166
If rounded to the nearest tenth
y = 4.2
Can someone show me the step by step to this question?
2 Charlie makes $34 an hour and will get a 20% raise starting next week. Choose True or False
for each statement
a. Next week, Charlie's new hourly wage will be 120%
True False
of his original wage.
b. Next week, Charlie's new hourly wage will be $40.80.
True
False
c. Next week, Charlie will be making $6.80 less than
True False
his current hourly wage.
d. Next week, Charlie will be earning an additional
True False
20 cents per hour,
Answer:
Step-by-step explanation:
1 False
2 True
3 False
4 false
lol that was ezy
pls help quick Graph the inequality on a number line
Answer:
Your welcome
Step-by-step explanation:
which is bigger 2.4 or 8.4
Answer:
obviously 8.4 is bigger than 2.4
Which is the product of
7
9
and 6?
A.
1
4
9
B.
3
7
9
C.
4
2
3
D.
7
5
7
Answer:
4 2/3
Step-by-step explanation:
i took the test
Can you help me please
Answer:
its 2nd one
Step-by-step explanation:
A store pays $365.84 for a fountain. The store marks up the price by 10%.
What is the amount of the mark-up?
Round your answer to the nearest cent: $
Answer:
The store marks up the fountain by adding $ 36.58 to its original cost, bringing its retail price to $ 402.42.
Step-by-step explanation:
Given that a store pays $ 365.84 for a fountain, and then the store marks up the price by 10%, to determine the amount of the mark-up the following calculation must be performed:
365.84 x 10/100 = X
3,658.4 / 100 = X
36,584 = X
36.584 + 365.84 = 402.424
Thus, the store marks up the fountain by adding $ 36.58 to its original cost, bringing its retail price to $ 402.42.
On a map, 1 inch equals 10 miles. Two cities are 8 inches apart on the map. What is the actual distance between the cities?
Answer:
80 inches the reason for this is 10 times 8 equals 80
A test has total of 80 marks to pass you need at least 45 percent how many marks do you need to pass?
Answer:
36
Step-by-step explanation:
45\100×80=36
solve for x pls .............................................................................
Answer:
x=28.928571 AKA the answer is 28
identify the slope in -4x+3y=26
Apollo Cinemas opened at 10 a.m. In the first hour they sold tickets to 240 people. In the second hour 25% more people purchased admission tickets than in the first hour. Each admission ticket cost $12.50. What was the total amount of money paid for all the tickets in the first two hours?
Answer:
$312.50
Step-by-step explanation:
240 + 25% = 300
300 + 12.50 =
312.50
An angle measures 12°. Find its complement. Do not include units in your answer.
Answer:
78
Step-by-step explanation:
complements = 90
x + 12 = 90
-12. -12
× = 78
If two angles are complementary,
then the sum of their measures is 90 degrees.
If two numbers add to 90, we can represent those numbers as x and 90 - x.
So we will call one of our angles x and its complement as 90 - x.
So we have 90 - 12 which is 78.
So the complement of a 12° angle is a 78° angle.
Pet plus sells 12 cans of dog food for $9.60 . What is the price per can?
Answer and Step-by-step explanation:
To find the amount of dollars per can of dog food, we divide the price by the amount of cans bought.
9.6 divided by 12 equals 0.8.
$0.8 is the answer.
Help tell me how Pi is found
Answer:
The ancient Babylonians calculated the area of a circle by taking 3 times the square of its radius, which gave a value of pi. Leaving them with a infinte number 3.14159... and so on.
Step-by-step explanation:
Answer:
How was Pi discovered?
Here's a brief history of finding π. The ancient Babylonians calculated the area of a circle by taking 3 times the square of its radius, which gave a value of pi = 3. One Babylonian tablet (ca. 1900–1680 BC) indicates a value of 3.125 for π, which is a closer approximation.
How is PI value calculated?
In some ways Pi (π) is a really straightforward number – calculating Pi simply involves taking any circle and dividing its circumference by its diameter. In fact if you search long enough within the digits of Pi (π) you can find any number, including your birthday.
Step-by-step explanation: