Can someone please help me with these two parts
1 answer:
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Answer:
see the attached
Step-by-step explanation:
The total cost of Kaylee's purchases will be the sum of products of the number bought and the cost of the item bought. She wants this total to be at most $20. In math terms, where x and y represent songs and TV episodes, the inequalities describing the scenario are ...
- 1.29x +2.99y ≤ 20
- x ≥ 0
- y ≥ 4
The attached graph shows a plot of this set of inequalities with the feasible region shaded red. The combinations of songs and TV episodes Kaylee can afford are shown by the coordinates of the red dots in the feasible region.
According to the "special," if Kaylee buys 6 songs (and 4 TV episodes), she will get a 7th song free. That is, the "special" means point (6, 4) becomes (7, 4) if there is a 7th song that Kaylee wants.
Answer: Its light-collecting area would be 25 times greater than that of the 10-meter keck telescope.
Step-by-step explanation:
1. To solve this problem you must apply the formula for calculate the area of a circle, which is shown below:
Where<em> r</em> is the radius of the circle.
2. The diameter of a circle is:
Where <em>r</em> is the radius of the circle.
3. Therefore, keeping this on mind, you have that the light-collecting area of a 50-meter keck telescope is:
4. And the light-collecting area of a 10-meter keck telescope is:
5. Divide by
, then:
6. Therefore, its light-collecting area would be 25 times greater than that of the 10-meter keck telescope.