The answer is B.
Negative numbers are to the far left if you were using a number line, so -1 to the 3rd power is -1. Everything else is positive. 1/4 is the same as 0.25 which is less than positive 1, positive 8.8 is next and the last would be -5 to the 2nd power which is 25.
A and D
Explanation: I did this problem in khan academy
Answer: 19
Step-by-step explanation:
Answer:
She has 140 coins in total.
Step-by-step explanation:
Since 7 coins is only 5% of the entire collection, 7 coins=5%. 100% is the total. So first you need to divide 100 by 5 which is 20 (100÷5=20). Next, you need to multiply 20 by 7 (20×7=140) to find out how much coins she has in total.
Hope this helps you!
f(3) = 1.9
Solution:
Given function:
![$f(x)=\frac{14}{7+2 e^{-0.6 x}}](https://tex.z-dn.net/?f=%24f%28x%29%3D%5Cfrac%7B14%7D%7B7%2B2%20e%5E%7B-0.6%20x%7D%7D)
To find f(3):
Substitute x = 3 in the given function.
![$f(3)=\frac{14}{7+2 e^{-0.6 (3)}}](https://tex.z-dn.net/?f=%24f%283%29%3D%5Cfrac%7B14%7D%7B7%2B2%20e%5E%7B-0.6%20%283%29%7D%7D)
![$f(3)=\frac{14}{7+2 e^{-1.8}}](https://tex.z-dn.net/?f=%24f%283%29%3D%5Cfrac%7B14%7D%7B7%2B2%20e%5E%7B-1.8%7D%7D)
Let us first simplify
.
Apply exponent rule: ![a^{-b}=\frac{1}{a^{b}}](https://tex.z-dn.net/?f=a%5E%7B-b%7D%3D%5Cfrac%7B1%7D%7Ba%5E%7Bb%7D%7D)
![$ 2e^{-1.8}=2\frac{1}{e^{1.8}}$](https://tex.z-dn.net/?f=%24%202e%5E%7B-1.8%7D%3D2%5Cfrac%7B1%7D%7Be%5E%7B1.8%7D%7D%24)
The value of
. (using calculator)
![$\frac{2}{e^{1.8}}=\frac{2}{6.04964}=0.33059](https://tex.z-dn.net/?f=%24%5Cfrac%7B2%7D%7Be%5E%7B1.8%7D%7D%3D%5Cfrac%7B2%7D%7B6.04964%7D%3D0.33059)
![2e^{-1.8}=0.33059](https://tex.z-dn.net/?f=2e%5E%7B-1.8%7D%3D0.33059)
Substitute this value in f(3).
![$f(3)=\frac{14}{7+0.33059}](https://tex.z-dn.net/?f=%24f%283%29%3D%5Cfrac%7B14%7D%7B7%2B0.33059%7D)
![$f(3)=1.90980](https://tex.z-dn.net/?f=%24f%283%29%3D1.90980)
f(3) = 1.9
Hence the value of f(3) is 1.9.