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Question 446646: Could someone please help me with this? I do not understand it at all, thank you so much.
In some other universe, K. Pack believes he has discovered a relationship between a planet’s distance D from its sun and the time T it takes to orbit its sun. This formula T= √Dł where T is in earth years and D=1 corresponds to the distance between earth and our sun, or 93,000,000 miles.
(a) Planet Eta is 33 times farther from its sun than earth is to our sun. Estimate the number of earth years required for Eta to orbit its sun according to K. Pack’s formula.
a.) Planet Eta takes ? (how many) Earth years to orbit its sun. (round to the nearest tenth as needed)
(b) Write this formula with rational exponents.
√(Dł= ?)
(Simplify your answer. Use integers or fractions for any numbers in the expression)
Click here to see answer by stanbon(57220) |
Question 446811: Hi! My question has to do with long division of polynomials. I am supposed to divide 2x+5 into 2x*3+x*2+4x+35. I always start strong knowing the first term of my answer will be x*2, but then I get completely lost as to where to go from there. Any help would be greatly appreciated! Thanks!
Click here to see answer by sudhanshu_kmr(1152)  |
Question 446907: The length of a rectangle flower garden is three feet more than its width. The area is 70 square feet. Using an algbriac equation find the length and the width of the flower garden.
Would I use width = x and length = x+3 = to 70? Is that how I would set this equation up?
Click here to see answer by nerdybill(6948)  |
Question 447437: Not sure exactly which category this goes under. I have a very long math problem I'm struggling to solve. I've googled and seen parts of it or similar problems, but I haven't seen the full thing, so I'm not entirely sure how to go about solving this. Any help will be appreciated, so I thank you in advance. I will also post the parts I think I already worked out so that you can see what I've done so far.
A gardener has a rose garden that measures 30 feet by 20 feet. He wants to put a uniform border of pine bark around the outside of the garden. Let x be the width of the border in feet. Write an expression for the total area of the border in terms of the width x.
I came up with 4x^2 + 100x as my answer. Correct?
Find out how wide the border should be if he has enough pine bark to cover 336 square feet.
I came up with 3 feet as my answer. Correct?
If the border needs to be covered to a depth of 3 inches and pine bark costs $29 per cubic yard, what will the material cost to lay the pine bark border? Assume that you must purchase a whole number of cubic yards and not a fraction of a cubic yard.
Here's where I'm struggling with *how* to answer this one. I came up with $6786, but I'm thinking that's way off. Any advice or suggestions?
Also, now assume you can actually buy as much or as little bark as you need to cover the border area, that is, the vendor will sell even a small fraction of a cubic yard if you want. Write an expression for the cost in dollars as a function of the width x, of the border in feet. Assume again that the border is to be covered to a depth of 3 inches and that pine bark costs $29 per cubic yard.
Please help! :) Thanks!
(There are actually two more questions to this problem, but I'm hoping the above, when I'm able to figure it out, will help me in solving them.)
Click here to see answer by stanbon(57220) |
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