Answer:
1) 2500
2)1:500
3)500,1000,1500,2000.....
4)lable the axis
5) 6000
Step-by-step explanation:
Answer: 7 pounds of peanuts and 3 pounds of cashew should be used.
Step-by-step explanation:
Let x represent the number of pounds of peanuts that he would use in the mixture.
Let y represent the number of pounds of cashews that he would use in the mixture.
The total mixture would be 10 pounds. It means that
x + y = 10
The mixture of peanuts and cashews would be sold at $4.75 per pound. This means that the total cost of the mixture is
10 × 4.75 = $47.5
If peanuts cost $4.00 per pound and cashews cost $6.50 per pound, it means that
4x + 6.5y = 47.5- - - - - - - - - - - - 1
Substituting x = 10 - y into equation 1, it becomes
4(10 - y) + 6.5y = 47.5
40 - 4y + 6.5y = 47.5
- 4y + 6.5y = 47.5 - 40
2.5y = 7.5
y = 7.5/2.5
y = 3
x = 10 - y = 10 - 3
x = 7
F - for simplification - we assume the orbits are circular (which they approximately are), we have a centrifugal force of <span><span>m<span><span>v2</span>R</span></span><span>m<span><span>v2</span>R</span></span></span><span>, where </span>m<span> is the mass of the planet, </span>v<span> its speed, and </span>R<span> the distance from the (center of the) sun. This force must be equal to the centripetal force, which comes from the sun's attraction, and it is </span><span><span>mG<span>M<span>R2</span></span></span><span>mG<span>M<span>R2</span></span></span></span><span>. Here, </span>M<span> is the mass of the sun, and </span>G<span> is a constant. We don't care about the actual numbers, so we write </span>C<span> be the product </span>MG<span> and observe that it is a constant independent of the orbit. These forces have to cancel out, so we have </span><span><span><span>v2</span>R=C<span>R<span>−2</span></span></span><span><span>v2</span>R=C<span>R<span>−2</span></span></span></span><span>, or </span><span><span><span>v2</span>=C<span>R<span>−3</span></span></span><span><span>v2</span>=C<span>R<span>−3</span></span></span></span><span>, so we have that the speed is proportional to </span><span><span>R<span><span>−3</span>2</span></span><span>R<span><span>−3</span>2</span></span></span><span>. Which means that if you decrease the distance to the sun, the speed goes up.</span>
Answer:
A
Step-by-step explanation:
Answer:
I think the answer is 32<em>cm²</em>
Step-by-step explanation:
A lot of mathematics using a calculator and checking all possible answers led me to this possible solution.
