1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ede4ka [16]
2 years ago
13

An auto repair shop charges $36 per hour, plus the cost of replaced parts. Which of the following expressions can be used to cal

culate the total cost of repairing a car, where h represents the number of hours of work and the cost of the replaced parts is $8
Mathematics
1 answer:
aivan3 [116]2 years ago
3 0

Answer:

44h

Step-by-step explanation:

Auto repair shop Charge - $36

Replaced Parts - $8

Number of Hours - h

Formula to find the total cost

(Auto Repair Shop Charge + Replaced Parts) x Number of Hours

= (36 + 8) x h

= 44 x h

= 44h

You might be interested in
Evaluate the definite integral from pi/3 to pi/2 of (x+cosx) dx
Vadim26 [7]

Answer:

\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{5 \pi ^2}{72} + 1 - \frac{\sqrt{3}}{2}

General Formulas and Concepts:

<u>Calculus</u>

Integration

  • Integrals

Integration Rule [Reverse Power Rule]:                                                           \displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C

Integration Rule [Fundamental Theorem of Calculus 1]:                                 \displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)

Integration Property [Addition/Subtraction]:                                                   \displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx

<u>Step 2: Integrate</u>

  1. [Integral] Rewrite [Integration Property - Addition/Subtraction]:           \displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {x} \, dx + \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {\cos x} \, dx
  2. [Left Integral] Integration Rule [Reverse Power Rule]:                           \displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{x^2}{2} \bigg| \limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} + \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {\cos x} \, dx
  3. [Right Integral] Trigonometric Integration:                                             \displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{x^2}{2} \bigg| \limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} + \sin x \bigg| \limits^{\frac{\pi}{2}}_{\frac{\pi}{3}}
  4. Integration Rule [Fundamental Theorem of Calculus 1]:                         \displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{5 \pi ^2}{72} + \bigg( 1 - \frac{\sqrt{3}}{2} \bigg)

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

3 0
2 years ago
Read 2 more answers
A student has received the following test scores: 71%, 89%, 72%,
lidiya [134]

Answer: 81%

Step-by-step explanation:

From the question, we are informed that a student received the following test scores: 71%, 89%, 72%,

84% and 83% in 5 tests and the student wants to maintain an average of 80%.

The lowest score/grade they can receive on the next test to maintain at least an 80% average first thus:

First, to make it easy we can remove the percent sign. Then we multiply 80 by 6 since we're calculating for 6 tests scores. This will be:

= 80 × 6

= 480

We then add all the 5 test scores. This will be:

= 71 + 89 + 72 + 84 + 83

= 399

We then subtract the values gotten. This will be:

= 480 - 399

= 81

This means the student must get at least 81%

5 0
3 years ago
Drake drew a 120 degree angle on his paper. He drew a line
solmaris [256]
Here is the diagram and the required value of other angle.

7 0
2 years ago
The number of marbles of different colors stored in a hat is listed below:
ivann1987 [24]

Answer:

12.5%

Step-by-step explanation:

I warn you, I'm not positive I'm correct.

First I added 8+10+6 and got 24

I divided that by 3 and got 8

I divided 100 by 8 because if you cross multiply 1/8 and x/100 you would get 8x = 100

100 ÷ 8 = 12.5

So I got 12.5%

5 0
3 years ago
Millie has a box of 1 hundred cubes. She also has a bag of 70 cubes. How many trains of 10 cubes can she make?
ANTONII [103]
She has a total of 170 cubes

170/10=17 trains
7 0
3 years ago
Read 2 more answers
Other questions:
  • Use the Factor Theorem to determine which of the following are NOT factors of 3x^4 - 5x^3 - 71 x^2 + 157x + 60 a. x - 3 c. x - 2
    8·1 answer
  • Mark makes commission on his sales of software. If he sells up to $20,000 in one month his commission is 10% of the total. If he
    6·1 answer
  • The wards decided to use carpet tiles in the family room. The room has an area of 176 square feet and is 5 feet longer than it i
    6·1 answer
  • The sum of a number and its additive inverse is equal to _____.
    7·1 answer
  • a server to cook ratio of 5 to 2. the total number of cooks and servers are 42 how many servers does stand steakhouse employ.
    5·1 answer
  • Assume that 11 people, including the husband and wife pair, apply for 5 sales positions. People are hired at random. (1) what is
    12·1 answer
  • Help me please i need help with this
    8·1 answer
  • In training, Kayden does
    10·1 answer
  • Kaelyn has 14 coins that have a value if $1.20. she only had dimes and nickles. How many nickels does kaelyn have?​
    5·2 answers
  • I’ll make brainliest
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!