Answer:
Step-by-step explanation:
<u>Given function:</u>
<h3>Part A</h3>
<u>p(d) = 2300, find d:</u>
- 2300 = -5d² + 300d - 200
- 5d² - 300d + 200 - 2300 = 0
- 5d² - 300d - 2100 = 0
- d² - 60d - 420 = 0
- d²- 2*30d + 900 = 1320
- (d - 30)² = 1320
- d- 30 = √1320
- d = 30 + 36.33
- d = 66.33
<h3>Part B</h3>
<u>Maximum point of the function is obtained at vertex, which is (x = -b/2a):</u>
<u>The maximum profit is:</u>
- p(30) = -5(30)² + 300(30) - 200 = 4300
Answer:
x = 9.99
Step-by-step explanation:
Using sine law , we have
Sine F/f = sine E/x
Sine 55deg/12 = Sine43deg/x
0.8192/12 = 0.6820/x
Cross multiply
0.8192 X x = 12 x 0.6820
0.8192x = 8.184
Divide both sides by 0.8192
0.8192x/0.8192=8.184/0.8192
x = 9.99
Answers:
- a) 2^30
- b) x^36
- c) y^33
- d) 1
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Explanation:
The rule you use is
(a^b)^c = a^(b*c)
For something like (2^5)^6, we have a = 2, b = 5, c = 6
So,
(a^b)^c = a^(b*c)
(2^5)^6 = 2^(5*6)
(2^5)^6 = 2^30
because 2^30 is so massive, it's likely your teacher will want you to keep 2^30 as is and not use your calculator to find what it turns into.
The other expressions are simplified in a similar manner.
For part (d), you'll use the rule x^0 = 1, where x is nonzero.
1 nickel = 5 cents
1 dollar = 20 nickels
You can make 13 dollars plus 16 nickels left over
20 * 13 = 260
then 260 + 16 = 276