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Sveta_85 [38]
3 years ago
12

A plumber has a set fee for a house call and charges by the hour for repairs. The total cost of

Mathematics
1 answer:
ratelena [41]3 years ago
6 0

Answer:

slope is the hourly rate of $110/hr

y-intercept is the set fee of 85

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In 2009 the number of vehicle sales in the United States was 10,002 thousand and in 2013 it was 17,884 thousand.a. [3 pts] Deter
anygoal [31]

Answer:

1970.5 thousand

Step-by-step explanation:

Given

Vehicle sales in 2009 = 10,002 thousand

Vehicle sales in 2013 = 17,884 thousand

Required

Determine the average rate of change;

From the given parameters, it can be seen that the number of vehicles is a function of year

Let x represent the years and y represent the number of vehicles;

Such that;

x_1 = 2009;\ y_1 = 10,002

x_2 = 2013;\ y_2 = 17,884

The rate of change is calculate as follows;

m = \frac{y_1 - y_2}{x_1 - x_2}

m = \frac{10002 - 17884}{2009 - 2013}

m = \frac{-7882}{-4}

m = \frac{-7882}{-4}

m = 1970.5

Hence, the average rate of change is 1970.5 thousand

6 0
3 years ago
The tortoise and the hare are in a road race to defend the honor of their breed. the tortoise crawls the entire 1000. m distance
jolli1 [7]
<span>The tortoise crawls the whole 1000 m at 0.2 m/s, therefore, you must divide the distance by the rate of travel to find the time it took to complete the race. This gives us a time of 5,000 seconds to crawl the thousand meters. The hare runs the first 200 meters at 2 m/s, meaning that takes 100 seconds. The last 800 meters divided by the speed of 3 m/s gives us a time of 266 seconds. These two numbers must be added to the hare's rest time, converted from 1.3 hours into seconds by multiplying that number by 60 (for minutes in an hour) then 60 again (for seconds in a minute). 1.3 hours is equal to 4680 seconds. Therefore, the whole race took the hare 5,046 seconds, making it slightly slower than the hare, who finished in 5,000 seconds flat.</span>
5 0
3 years ago
Question 31 pts Prove the statement is true using mathematical induction: 2n-1 ≤ n! Use the space below to write your answer. To
Sladkaya [172]

Answer:

P(3) is true since 2(3) - 1 = 5  < 3! = 6.  

Step-by-step explanation:

Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3

Basis: P(3) is true since 2(3) - 1 = 5  < 3! = 6.  

Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:

2(k+1) - 1 = 2k + 2 - 1

≤ 2 + k! (by the inductive hypothesis)

= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.

4 0
3 years ago
5/4 inches to 2/3 inch as a fraction in simplest form​
never [62]

Answer:

6/4

Step-by-step explanation:

6 0
2 years ago
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What is the size of angle ABC to the nearest degree?
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Answer:

145 degrees .....................

6 0
2 years ago
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