This time i has multiple questions.
-(5)^-1
(the test reset and i forgot the answer)
Suppose a spherical asteroid has a radius of approximately 3.2 x 10^3 m.
use the formula 4/3 pi r^3 to find the approximate volume of the asteroid.
This one is straight up confusing, so plz help.
What is the simplifyed form of the following expression?
(y^-5)^-10y^10
I think this one is y^150. Am i wrong or correct?
last one (for now) is
Radio signals at a rate of 3 x 10^8 meters per second. How many seconds would it take for a radio signal to travel from a satellite to the surface of the earth if the satellite is orbiting at a height of 4.2 x 10^7 meters? (hint time is distance divided by rate)
A: 1.26 x 10^16
B: 1.26 x 10^15*******
C: 1.4 x 10^1
D: 1.4 x 10^-1
Am i correct
Please help i has a b- in algebra and i really suck at this unit (Exponents and exponential functions) and i really don't wanna fail this test. I'm so close to straight A's.
-(5)^-1 = -1/5^1 = -1/5
how is the asteroid confusing? You even have the formula.
v = 4/3 πr^3
So, using your value for r, that gives you
4/3 π (3.2 x 10^3)^3 = 4/3 π * 3.2^3 x 10^9 = 137.26 x 10^9 = 1.37 x 10^11
verb: simplify
participle: simplified
(y^-5)^-10 y^10 = y^(-5 * -10) y^10 = y^50 y^10 = y^60
y^150 would be (y^-5 * y^-10)^-10
Huh? They even told you that time = distance/speed
(4.2 x 10^7) / (3 x 10^8) = (4.2/3) x 10^(7-8) = 1.4 x 10^-1
You must have multiplied. And always do a sanity check.
Do you really think it takes 38 million years for the signal to reach earth?
I'd be happy to help you with your questions!
1. To evaluate (-5)^-1, you can use the formula for negative exponents. In general, a^(-n) = 1 / (a^n). Applying this to the given expression, we have (-5)^-1 = 1 / ((-5)^1) = 1 / (-5) = -1/5.
2. To find the volume of a spherical asteroid with a radius of 3.2 x 10^3 m, you can use the formula V = (4/3) * π * r^3. Substitute the given radius value into the formula: V = (4/3) * π * (3.2 x 10^3)^3. Then, calculate the volume using the appropriate values for π and the radius to get the approximate volume of the asteroid.
3. For the expression (y^-5)^-10y^10, let's break it down step by step:
- When raising a negative exponent to another exponent (-n)^m, you can use the rule that says (-n)^m = (-1)^m * n^m. In this case, (-5)^-10 becomes (-1)^-10 * 5^-10.
- (-1)^-10 is equal to 1, since any negative integer exponent on -1 will give a positive result.
- 5^-10 is 1 / (5^10).
So, the simplified form of (-5)^-1 is y^10 / (5^10).
4. To calculate the time it takes for a radio signal to travel from a satellite to the surface of the Earth, you can use the formula Time = Distance / Rate. The given rate is 3 x 10^8 meters per second, and the distance is 4.2 x 10^7 meters. Substituting these values into the formula, you have Time = (4.2 x 10^7) / (3 x 10^8). Simplifying this expression using the rules of exponents, you will get the correct answer: B: 1.26 x 10^15 seconds.
I hope this helps you with your test! Remember to double-check your calculations and formulas, and don't hesitate to ask if you have any more questions or need further clarification. Good luck!