Let the number of songs Lou has = X
Kelly has 4 times as many as Lou, which would be written as 4X
Tiffany has 6 times as many songs as Lou, which would be written as 6X
The total number of songs = 682
You need to add all three people together to equal 682
So you would get:
X + 4X + 6X = 682 songs.
Combine all like terms ( 6x + 4x + X = 11x)
11x = 682
Now to solve for X divide both sides by 11:
x = 682 / 11 = 62
Lou = x = 62 songs.
Kelly = 4x = 4(62) = 4*62 = 248 songs.
Tiffany = 6x = 6(62) = 6 *62 = 372 songs.
The result of the exponential expression is 81
<h3>Indices expressions</h3>
Indices are written in term of exponents
According to the expoenent law of indices
a^4 = a * a * a * a
Given the expression
(-3)^4
This means the product of -3 in four places. Mathematically
(-3)^4 = -3 * -3 * -3 * -3
(-3)^4 = 9 * 9
(-3)^4 = 81
Hence the result of the exponential expression is 81
Learn more on exponents here: brainly.com/question/11975096
Answer:
7.2
Step-by-step explanation:
First differences:
0.8-0.2, 1.8-0.8, 3.2-1.8, 5.0-3.2
0.6, 1.0, 1.4, 1.8
Second differences:
1.0-0.6, 1.4-1.0, 1.8-1.4
0.4, 0.4, 0.4
For the next term, add 0.4 to the last term from the first differences, and add the sum to the last term of the quadratic sequence:
0.4+1.8=2.2
2.2+5.0=7.2
∴ The next term in the sequence is 7.2