X = - 8 should be the answer
Rewrite each expression using each base only once.
(-6)^12 * (-6)^3 * (-6)^2
(-6)^(12+3+2)
(-6)^(17)
Answer:
(-6)^(17)
2^2 * 2^7 * 2^0
(2)^(2+7+0)
(2)^(9)
Answer:
(2)^(9)
Simplify each expresion.
5c^4 * c^6
5*c^(4+6)
5*c^(10)
Answer:
5*c^10
(-2.4n^4)(2n^-1)
(-2.4*2)(n^4)(n^-1)
(-2.4*2)(n^(4+(-1))
(-4.8)(n^(4-1))
(-4.8)(n^(3))
Answer:
(-4.8)(n^(3))
(4c^4)(ac^3)(-3a^5c)
((4)*(-3))*(c^(4+3+1))*(a^(1+5))
(-12)*(c^(8))*(a^(6))
Answer:
(-12)*(c^8)*(a^6)
a^6b^3 * a^2b^-2
(a^(6+2))*(b^(3+(-2)))
(a^(8))*(b^(3-2))
(a^(8))*(b^(1))
(a^8)*(b)
Answer:
(a^8)*(b)
Answer:
(-1,5)
(3, 1/125)
Step-by-step explanation:
g(x) = (1/5) ^x
Lets check the points
(1,0)
0 = (1/5) ^1
0 = 1/5 False this is not on the graph
(-1,5)
5 = (1/5) ^ -1
Remember negative exponents flip the fraction inside the parentheses
5 = 5/1 True this is on the graph
(3, 1/125)
1/125 = (1/5)^ 3
1/125 = 1^3/ 5^3
1/125 = 1/125 true this is on the graph
(-2,1/25)
1/25 = (1/5) ^-2
Remember negative exponents flip the fraction inside the parentheses
1/25 = 5^2/1^2
1/25 = 25 false this is not on the graph
Answer:
The independent variable is m, while the dependent variable is t.
Step-by-step explanation:
- What is the independent variable?
An independent variable is a variable that does not rely on another variable to change its outcome. In this case, the variable 'm' does not rely on the ride's total cost.
- What is the dependent variable?
The dependent variable is a variable that depends on another variable to give its amount. In this case, 't' is the dependent variable, because it depends on how many miles were driven, in order to provide the correct answer.
- Write an equation representing this relationship:
t = $6 + ($1.50 x m)
- Complete the table to show the total cost for riding 3 to 10 miles:
3 miles: t = $6 + ($1.50 x m) or $10.50 = $6 + ($1.50 x 3)
4 miles: t = $6 + ($1.50 x m) or $12 = $6 + ($1.50 x 4)
5 miles: t = $6 + ($1.50 x m) or $13.50 = $6 + ($1.50 x 5)
6 miles: t = $6 + ($1.50 x m) or $15 = $6 + ($1.50 x 6)
7 miles: t = $6 + ($1.50 x m) or $16.50 = $6 + ($1.50 x 7)
8 miles: t = $6 + ($1.50 x m) or $18 = $6 + ($1.50 x 8)
9 miles: t = $6 + ($1.50 x m) or $19.50 = $6 + ($1.50 x 9)
10 miles: t = $6 + ($1.50 x m) or $21 = $6 + ($1.50 x 10)
Answer:
30.1°
Step-by-step explanation:
Let A = angle of elevation
tan A = 55/95
A = arctan 55/95
= 30.1°
