Answer:
z=-5
Step-by-step explanation:
-4z=20
divide both sides of the equation by -4
-4z/-4=20/-4
z=-5
If you notice the terms, they're
7, -21, 63, -189 and so forth.
7*-3 = -21 and -21 * -3 is 63 and so forth, meaning the "common ratio" is -3.
now, for a common ratio say "r", which is a fraction, namely less than ±1 and more than 0, or |r| < 1 , you do have a convergent sequence.
however this one notice, |-3| is 3, and that's greater than 1 clearly, therefore is divergent, meaning the summation has no finite value.
Slit the shape into a rectangle and two triangles:
Rectangle = 9 x 8 = 72 sq. Ft.
Triangle = 1/2 x 8 x 2.5 = 10 sq. Ft x 2 = 20 sq. Ft.
Total area = 72 + 20 = 92 sq. Ft.
3 coats x 92 = 276 sq ft worth of paint.
1 quart covers 200 so he would need to buy 2 quarts:
2 x $8.97 = $17.94 total
Answer:
No, the sign won't change. The sign will only change if you multiply each side by -1.
Step-by-step explanation:
adding negative numbers also won't change the sign. We can see this because we are adding the same numbers
6<10
10<14
2<6
-6<-2
Answer:
n = 3 2/7
Step-by-step explanation:
First of all, look at what you have.
It is a linear equation in n, with several layers of operations performed on it.
You can solve this a couple of ways. (1) Simplify the equation to a 2-step linear equation; (2) Undo the operations done on the variable.
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(1) -5 +18 +21n = 82 . . . eliminate parentheses
21n = 69 . . . . . . . . . . subtract 13
n = 69/21 = 23/7 . . . . divide by the coefficient of n and reduce the fraction
n = 3 2/7
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(2) 3(6 +7n) = 87 . . . . . . add 5
6 +7n = 29 . . . . . . . . . divide by 3
7n = 23 . . . . . . . . . . . . . subtract 6
n = 23/7 . . . . . . . . . . . . divide by the coefficient of n
n = 3 2/7 . . . . write as a mixed number
