Answer:
Simplifying
(5n + -3) + -1(-2n + 7) = 0
Reorder the terms:
(-3 + 5n) + -1(-2n + 7) = 0
Remove parenthesis around (-3 + 5n)
-3 + 5n + -1(-2n + 7) = 0
Reorder the terms:
-3 + 5n + -1(7 + -2n) = 0
-3 + 5n + (7 * -1 + -2n * -1) = 0
-3 + 5n + (-7 + 2n) = 0
Reorder the terms:
-3 + -7 + 5n + 2n = 0
Combine like terms: -3 + -7 = -10
-10 + 5n + 2n = 0
Combine like terms: 5n + 2n = 7n
-10 + 7n = 0
Solving
-10 + 7n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 7n = 0 + 10
Combine like terms: -10 + 10 = 0
0 + 7n = 0 + 10
7n = 0 + 10
Combine like terms: 0 + 10 = 10
7n = 10
Divide each side by '7'.
n = 1.428571429
Simplifying
n = 1.428571429
90 I’m sorry if I am wrong I got that in paper :)
Answer:
D
Step-by-step explanation:
All living organisms are made up of one or more cells, which are considered the fundamental units of life. Even unicellular organisms are complex! Inside each cell, atoms make up molecules, which make up cell organelles and structures. In multicellular organisms, similar cells form tissues.
Remember that finding terms in a geometric sequence is done by multiplying the previous term by a common ratio 
. For example, we can say:
We have 
. To find 
, let's multiply this term by 
:
Now, let's use this to find all of our other terms:
Thus, our terms are 64, 80, 100, 125, and (625/4).
Answer:
x = 9.6
Step-by-step explanation:
Before we can figure out what x is, we need to figure out what the unlabeled side is. To figure that out, multiply the hypotenuse (12) by the sine of the angle labeled (34)
12 * sin(34)
<em>sin(34) equals 0.559192903470747; I'll round it to 0.6 for convenience.</em>
12 * 0.6
<em>Now simply multiply 12 by 0.6 to get 7.2.</em>
The unlabeled side is approx. 7.2 units long.
Now we know what the unlabeled side is. Now, to find x, find the square root of 12 squared minus 7.2 squared.
x = √12² - 7.2²
<em>12 squared is 144; 7.2 squared is 51.84.</em>
x = √144 - 51.84
<em>Subtract 51.84 from 144 to get 92.16.</em>
x = √92.16
<em>The square root of 92.16 is 9.6 (on the spot!).</em>
x equals 9.6.
