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Kay [80]
2 years ago
9

Sarah is renting a car for her weekend trip to the mountains. The total cost of the rental, f(x), as it relates to the number of

miles driven, x, is shown in the graph below. Write a function to represent this situation. a0

Mathematics
1 answer:
Fofino [41]2 years ago
4 0

Answer:

f(x) = 1/4x + 25

Step-by-step explanation:

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The law of cosines is a2+b2-2abcosC=c2 find the value of 2abcosC
quester [9]
Isolating 2abCos(c) on one side of the equation and using the given values of a, b and c we can find the answer to this question as shown below:

a^{2} + b^{2} -2ab*cos(C)=c^{2}  \\  \\ 
2ab *cos(C)=  a^{2} + b^{2} - c^{2}  \\  \\ 
2ab *cos(C)=2^{2} + 2^{2}- 1^{2} \\  \\ 
2ab*cos(C) = 7
7 0
2 years ago
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The rabbit population on a small island is observed to be given by the function P(t) = 130t − 0.3t^4 + 1100 where t is the time
Montano1993 [528]
The maximum occurs when the derivative of the function is equal to zero.
P(t)=-0.3t^{4}+130t+1100 \\ P'(t)=-1.2t^{3}+130 \\ 0=-1.2t^{3}+130 \\ 1.2t^{3}=130 \\ t^{3}= \frac{325}{3}  \\ t=4.76702
Then evaluate the function for that time to find the maximum population.
P(t)=-0.3t^{4}+130t \\ P(4.76702)=-0.3*4.76702^{4}+130*4.76702+1100 \\ P(4.76702)=1564.79201
Depending on the teacher, the "correct" answer will either be the exact decimal answer or the greatest integer of that value since you cannot have part of a rabbit.
7 0
2 years ago
50 points if you answer question and show work.
katrin [286]
<span>My answer was D. 13.9 yd.
It depends on which leg is 12 yds
If it's the short one, hyp = 24
If the other one, hyp = 13.9
hope this works

</span>
3 0
2 years ago
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PLS HALP ME!!!!!! You have $6.50 to make copies. Each copy costs $0.45. Write and solve an inequality that represents the number
serious [3.7K]

Step-by-step explanation:

Variable x = number of copies

6.50 <= 0.45x

Divide both sides by 0.45

6.50 ÷ 0.45 <= 0.45x ÷ 0.45

14.4444.... <= x

No more than 14 copies

6.50 <= 0.45x

6.50 <= 0.45(14.444)

7 0
2 years ago
The average starting salary for graduates at a university is $25,000 with a standard deviation of $4,000. if a histogram of the
kirill115 [55]
The empirical rule says 68% of the distribution should fall within one standard deviation of the mean, so you should expect salaries between \$25000-\$4000=\$21000 and \$25000+\$4000=\$29000
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2 years ago
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