14^(7x) = 17^(-8-x)
Take the log of both sides:
7x*log 14 = -(8+x)*log 17, or 7x^log 14 = -8*log 17 - x*log 17.
Grouping the x terms, we get x(7*log 14 + log 17)= -8*log 17
Then:
-8*log 17
x= -------------------------- (answer)
7*log 14 + log 17
Answer:
117 feet squared
Step-by-step explanation:
Multiply the height (9 feet) by the width (13 feet).
9 x 13 = 117
117 feet squared
Note: squared is added when describing area (it's used as an exponent in numbers)
Answer:
630,630 different arrangements are possible for the given laptops.
Step-by-step explanation:
Total number of laptops = n = 15
Number of identical Dell laptops = 6
Number of identical Chromebooks = 4
Number of identical Mackbooks = 5
We have to find in how many ways can the laptops be arranged. Number of arrangement of objects is calculated using Permutations as the order of objects matter during the arrangement. The formula to calculate the number of possible arrangements when there are similar objects is given as:

Here n is the total number of objects and a,b, and c represent the number of identical objects. Using the given values we get:

This means 630,630 different arrangements are possible for the given laptops.
Answer:
Like terms are numbers with or without variables that have the same variables.
Step-by-step explanation:
5x and 3x are like terms because they have the same variable.
5x and 3y are not like terms because the variables are different.
To combine them, just add or subtract them. You cannot combine non-like terms!