The independent variable here is b, the number of mats; the dependent var. is p, the cost of b mats. Thus, p = f(b).
Here, 245 units^3 = pi*r^2*(5 units), or
245 units^3
r^2 = ------------------- = 15.61 units^2. Thus, the radius is sqrt(15.61 units^2), or
5(3.14) units 3.95 units. The DIAMETER is d = 2*r = 7.90 units.
Answer:
35 degrees
42 degrees
x = 8 degrees
x = 7 degrees
Step-by-step explanation:
1)
m <1 = 70/2 = 35 degrees
2)
m <1 = 84/2 = 42 degrees
3)
6 + 4 x = (9 x + 4) / 2
12 + 8 x = 9 x + 4
12 - 4 = x
x = 8 degrees
4)
3 x - 1 = x + 13
2 x = 14
x = 7 degrees
<span>Simplifying
2(10 + -13x) = -34x + 60
(10 * 2 + -13x * 2) = -34x + 60
(20 + -26x) = -34x + 60
Reorder the terms:
20 + -26x = 60 + -34x
Solving
20 + -26x = 60 + -34x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '34x' to each side of the equation.
20 + -26x + 34x = 60 + -34x + 34x
Combine like terms: -26x + 34x = 8x
20 + 8x = 60 + -34x + 34x
Combine like terms: -34x + 34x = 0
20 + 8x = 60 + 0
20 + 8x = 60
Add '-20' to each side of the equation.
20 + -20 + 8x = 60 + -20
Combine like terms: 20 + -20 = 0
0 + 8x = 60 + -20
8x = 60 + -20
Combine like terms: 60 + -20 = 40
8x = 40
Divide each side by '8'.
x = 5
Simplifying
x = 5</span>
Answer:
20%
Step-by-step explanation:
Calculate percentage change
from V1 = 15 to V2 = 18
(V2−V1)|V1|×100
=(18−15)|15|×100
=315×100
=0.2×100
=20%change
=20%increase
Answer:
It is -7.
Step-by-step explanation:
Since x = -1, we can replace the x with -1 to get: -3 - 4 which is -7.
