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Mice21 [21]
3 years ago
12

Yesterday, Bethany sent 60 messages. She said 15% of them were to her best friend. How many text messages did Bethany send to he

r friend yesterday
Mathematics
1 answer:
luda_lava [24]3 years ago
3 0

Answer:

9

Step-by-step explanation:

15% or .15 x 60 = 9

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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
Can someone help out with #3? I'll give Brainliest answer.
quester [9]
The answer is 4√6 4√x
Sorry if that looks confusing but it means small 4, big 6 and then small 4

7 0
3 years ago
PLS HELP ME ASAP FOR 7 and 8!! (MUST SHOW WORK!!) + GIVING BRAINLIEST AND THANKS
VladimirAG [237]
Question 7:

Diameter = 6.2 cm so Radius = 3.1 cm
A=πr² = 3.14 × 3.1² = 30.1754 cm² = 30.18 cm²

Question 8:

Circumference = 2πr
16π = 2πr
therefore 16 = 2r so r = 8cm 
7 0
3 years ago
Read 2 more answers
What is 43,000 in scientific notation?
ki77a [65]
43,000 in scientific notation is 4.3 x 10^4
6 0
3 years ago
Anyone can help me I would appreciate it
Kisachek [45]

Answer:

This would be shifted down 8 and made 3 times less steep.

Step-by-step explanation:

In order to determine these transformations, we first need to compare the constants at the end. This will determine the up or downward shift. Since the f(x) is 5 and the g(x) is -3, we know that it went down 8.

Next we compare the coefficients of x. Since the f(x) is 6 and the g(x) is 2, we know that it is 3 times less steep.

7 0
3 years ago
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