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QveST [7]
3 years ago
15

Convert 36% to a fraction in simplest form.

Mathematics
2 answers:
natta225 [31]3 years ago
6 0
36/100 divided by 4 simplifies to 9/25
ioda3 years ago
3 0

9/25 is the answer. Your welcome

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A population of bees is decreasing. The population in a particular region this year is 1,250. After 1 year, it is estimated tha
8_murik_8 [283]
To model this situation, we are going to use the decay formula: A=Pe^{rt}
where 
A is the final pupolation
P is the initial population 
e is the Euler's constant
r is the decay rate 
t is the time in years

A. We know for our problem that the initial population is 1,250, so P=1250; we also know that after a year the population is 1000, so A=1000 and t=1. Lets replace those values in our formula to find r:
A=Pe^{rt}
1000=1250e^{r}
e^{r}= \frac{1000}{1250}
e^{r}= \frac{4}{5}
ln(e^{r})=ln( \frac{4}{5} )
r=ln( \frac{4}{5} )
r=-02231

Now that we have r, we can write a function to model this scenario:
A(t)=1250e^{-0.2231t}.

B. Here we are going to use a graphing utility to graph the function we derived in the previous point. Please check the attached image.

C. 
- The function is decreasing
- The function doe snot have a x-intercept 
- The function has a y-intercept at (0,1250)
- Since the function is decaying, it will have a maximum at t=0: 
A(0)=1250e^{(-0.2231)(0)
A_{0}=1250e^{0}
A_{0}=1250
- Over the interval [0,10], the function will have a minimum at t=10:
A(10)=1250e^{(-0.2231)(10)
A_{10}=134.28

D. To find the rate of change of the function over the interval [0,10], we are going to use the formula: m= \frac{A(0)-A(10)}{10-0}
where 
m is the rate of change 
A(10) is the function evaluated at 10
A(0) is the function evaluated at 0
We know from previous calculations that A(10)=134.28 and A(0)=1250, so lets replace those values in our formula to find m:
m= \frac{134.28-1250}{10-0}
m= \frac{-1115.72}{10}
m=-111.572
We can conclude that the rate of change of the function over the interval [0,10] is -111.572.

7 0
3 years ago
PLEASE HELP ASAP<br> If Someone read the book "Gryphon" by Charles Baxter please can you help me.
Neko [114]
If someone reads the book (Gryphon) by Charles baxter what???
4 0
3 years ago
Select all the stories that can be represented by the diagram.
Inessa05 [86]

Answer: Choice C and Choice D

========================================================

Explanation:

  • Choice A doesn't work because it the $1 should be $7 instead.
  • Choice B doesn't work because it should be Elena spending $7 total on 3 notebooks and a $1 pen. The x is the amount per notebook.
  • Choice C does work. If x is the number of grapes Noah gives each friend, then 3x is the total amount Noah gives over. Then 3x+1 is the number of grapes total. That +1 at the end is the grape Noah eats. We end up with 3x+1 = 7 because Noah starts off with 7 grapes.
  • Choice D works also. The x is the number of hours for math, science and history each. So 3x is the combined time of those three classes. Add on 1 to get 3x+1 to represent all 7 hours, ie 3x+1 = 7.
  • Choice E does not work. If it was her spending $7 on 3 markers and a $1 pen, then it would work.
8 0
2 years ago
Read 2 more answers
Factor completely.<br> 3x^2+30x+75=
mamaluj [8]
You write the problem as a mathematical expression
3x^2 + 30x + 75 =
Factor: 3 out of 3x^2 + 30x + 75.

3 (x2 + 10x + 25)

Factor using the perfect square rule.
And then your answer should be 3 ( x + 5) ^2
7 0
3 years ago
Read 2 more answers
Louis needs to secure his tent.He will use a rope to go down the edge of the tent, straight out to a post and back to the starti
tester [92]

Answer:

i need help

Step-by-step explanation:

4 0
2 years ago
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