Answer:
The answer is "no".
Step-by-step explanation:
No, because the probability besides simultaneous flights to arrive on time are not self-sufficient for every flight (when the first flight was late, therefore the probabilities during the next flight were significantly greater), because then the standard multiplication principle would be used for explanatory variables.
Answer:
Equivalence= 3/1= 3
3 to 1
Step-by-step explanation:
Giving the following information:
Number of scarves= 24
Number of hats= 8
<u>First, we need to divide the number of times that 8 hats enter in 24 scarves:</u>
Number of times= 24/8= 3
<u>Now, we know that 8 hats enter 3 times in 24 scarves. Therefore, the equivalence is:</u>
Equivalence= 3/1= 3
3 to 1
Just remember that vertical angles are congruent and have same degree. Straight lines add up to 180 degrees.
G = 115 degrees (vertical angle)
K = 131 degrees (vertical angle)
h = 180-115 = 65 degrees
m = 180 - 131 = 49 degrees
Addd 4 to both sides
sqare both sides
x+9=25
minus 9 both sides
x=16
plug it in for x and see
1=1
true
not extraneous
an extraneous root would be x=-34
Q1. The answer is <span>D. x4
</span>
Let's first rewrite the expression:
x⁵y²/xy² = x⁵/x * y²/y²
Using the rule xᵃ/xᵇ = x(ᵃ⁻ᵇ), we can write the expression as following:
x⁵y²/xy² = x⁵/x * y²/y² = x⁵⁻¹ * y²⁻² = x⁴ * y⁰ = x⁴ * 1 = x⁴
Thus, the correct answer is D.
Q2. The answer is <span>A. 5(5^3/2/5)^2
</span>
125 in the form of exponent is 5³.
125 = 5³
Now, let's calculate all choices.
The rules we will use are:
xᵃ * xᵇ = x(ᵃ⁺ᵇ)
xᵃ/xᵇ = x(ᵃ⁻ᵇ)
(xᵃ)ᵇ = xᵃ*ᵇ
A. 5(5³/2/5)² = 5 * (5³ * 5/2)²
= 5 * (5³⁺¹/2)²
= 5 * (5⁴/2)²
= 5 * (5⁴)²/(2)²
= 5 * 5⁴*²/4
= 5 * 5⁸ / 4
= 5¹⁺⁸ / 4
= 5⁹/4
≠ 5³ ≠ 125
B. (5³/5⁴)⁻³ = (5³⁻⁴)⁻³
= (5⁻¹)⁻³
= 5⁽⁻¹⁾*⁽⁻³⁾
= 5³
= 125
C. 5⁻²/5⁻⁵ = 5⁽⁻²⁾⁻⁽⁻⁵)
= 5⁽⁻²⁾⁺⁵
= 5³
= 125<span>
D. 5(5</span>⁵/5³) = 5 * 5⁵⁻³
= 5 * 5²
= 5¹⁺²
= 5³
= 125
Therefore, the only expression that is not equal to 125 is A.
Q3. The answer is <span>63x5
Let's check all choices
</span>The rules we will use are:
xᵃ * xᵇ = x(ᵃ⁺ᵇ)
xᵃ/xᵇ = x(ᵃ⁻ᵇ)
(xᵃ)ᵇ = xᵃ*ᵇ
A. 6³<span>x
</span>6³x/6x⁵ = 6³/6 * x/x⁵
= 6³⁻¹ * x¹⁻⁵
= 6²x⁻⁴
= 36x⁻⁴
≠ 36<span>
B. 6</span>³x⁵
6³x⁵/6x⁵ = 6³/6 * x⁵/x⁵
= 6³⁻¹ * x⁵⁻⁵
= 6² * x⁰
<span> = 36 * 1
= 36
C. 6x</span>⁵<span>
</span>6x⁵/6x⁵ = 1
≠ 36
<span>
D. 6</span>⁷x⁵
6⁷x⁵/6x⁵ = 6⁷/6 * x⁵/x⁵
= 6⁷⁻¹ * x⁵⁻⁵
= 6⁶ * x⁰
= 46656 * 1
≠ 36
Therefore, the correct choice is B.
Q4. The answer is
We will use the rule: xᵃ/xᵇ = x(ᵃ⁻ᵇ)
5.4 x 10¹²/1.2 x 10³ = 5.4 / 1.2 x 10¹²/10³
= 4.5 x 10¹²⁻³
= 4.5 x 10⁹
Q5. The answer is B. <span>To subtract powers with the same base, divide the exponents
Some of the rules </span><span>regarding operations with exponents are:
</span>xᵃ/xᵇ = x(ᵃ⁻ᵇ) - choice A
xᵃ * xᵇ = x(ᵃ⁺ᵇ) - choice C
(xᵃ)ᵇ = xᵃ*ᵇ - choice D
Through the process of elimination, choice B is not true.
