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balu736 [363]
3 years ago
15

Amanda has 15 coins in her pocket. Of these, 8 are quarter. What is ratio of quarters to coins in Amanda's pocket?i

Mathematics
2 answers:
MakcuM [25]3 years ago
8 0
The answer will be 8:15
deff fn [24]3 years ago
5 0
8:15 or 8 to 15 would be the ratio because you compare 8 quarters to 15 coins.
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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
Ben wants to try a new honey-glazed salmon recipe. He starts with 1
RSB [31]
1/4 i hope this helps u
6 0
3 years ago
What is the classification for this polynomial?
Mariana [72]

Answer:

Trinomial

Step-by-step explanation:

This is because there are three terms involved in the equation.

One of them is -7ab^4. Another is 4c^3. The third one is 25.

4 0
3 years ago
2) f(x) = x² **<br> g(x)= 3x – 2<br> Find f(g(-4)
Usimov [2.4K]

Answer:

f(g( - 4)) = 196

Step-by-step explanation:

The functions are;

f(x) =  {x}^{2}

and

g(x) = 3x - 2

We want to find

f(g( - 4))

First we find g(-4) to get:

g( - 4) = 3 \times  - 4 - 2

g( - 4) =  - 12- 2

g( - 4) =  - 14

Now

f(g( - 4)) = f( - 14)

This implies that,

f(g( - 4)) = {( - 14)}^{2}

f(g( - 4)) = {( - 14)} \times  - 14

f(g( - 4)) = 196

6 0
3 years ago
Classify the triangle with the given side lengths: 5, 9, 10
Volgvan
This can be a right triangle
6 0
2 years ago
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