Answer:
Keep the base the same and then subtract the exponents.
Step-by-step explanation:
According to one of the law of indices, for given values a, m and n;
a^m/a^n = a^(m-n)
The base value which is a is maintained and the difference of exponents are taken. In indices division becomes subtraction.
Now given the expression
3^-6/3^-4
As we can see, both the numerator and denominator has the same base which is 3, therefore we will keep the base and take the difference of its exponents according to the law above:
3^-6/3^-4 = 3^(-6-(-4))
= 3^(-6+4)
= 3^-2
= 1/3^2
= 1/9
Answer:
2. Addition property of inequality. You're adding 6x to both sides.
3. 4x = 28
4. 4x/4 = 28/4 Justification: Division property of inequality
You're dividing both sides by 4.
5. x = 7
Hope that helps.
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Answer:
$8
Step-by-step explanation:
Five student tickets cost $40
Price for each student tickets
= Total cost of five student tickets/5 students
=$40/5
=$8
Each student ticket cost $8
Answer:
Step-by-step explanation:
You have a half sphere and a cylinder.
Trick question! Note that the diameter of the cylinder is in meters, while the height is given in centimeters.
For cylinder:
radius r = 5 m
height h = 6 cm = 0.06 m
volume = πr²h = π(5²)(0.06) = 1.5π m³
For sphere:
radius r = 5 m
volume of sphere = (4/3)πr³
volume of half sphere = (2/3)πr³ = (2/3)π5³ = (250/3)π m³
Total volume = 1.5π + 250π/3 ≅ 266.5 m³
