Can you find a math trick to play on a family member or friend? Be creative!
1 answer:
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Answer:
Hourly Rate = $12.22 per hour
Step-by-step explanation:
Overhead Rate = 95%
Retail price of parts = $134.75
Total cost of job = $241.98
Cost of labor = Total cost - Retail price
= 241.98 - 134.75
= $107.23
Now, labor works for 4.5 hours and ears a total amount of $107.23
Now, Labor will get 95% overhead rate
⇒ The labor is getting 100% already but an overhead of 95% is also given
Answer:
rule: f(n) = n³
missing numbers: 125, 216, 343, 512, 729
Step-by-step explanation:
Your familiarity with the cubes of small integers helps you recognize each of these numbers is a cube. Their sequence is the sequence of cubes of increasing natural numbers.
1 = 1·1·1 = 1³
8 = 2·2·2 = 2³
27 = 3·3·3 = 3³
64 = 4·4·4 = 4³
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The rule is ...
f(n) = n³
The cubes of 5 through 9 will complete the set of numbers ...
1, 8, 27, 64, 125, 216, 343, 512, 729
The total time in seconds the ball will take to travel before returning the ground is 2.25 seconds.
<h3>What is factorisation?</h3>The breaking or breakdown of an entity (such as an integer, a matrices, or a polynomials) into a products of another unit, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring in mathematics.
Calculation for the time;
Let 't' be the time in second the ball will travel.
Let H(t) be the total height travelled by the ball.
The equation of the height is given as
As soon as the ball will return to the ground the total height will become zero.
So, put equation of height equal to zero.
Factorise the above equation;
Put each value equals to zero to get the value of time.
As, time can not be zero
Therefore, the total time taken by the ball to return to the ground is 2.25 sec.
To know more about factorisation, here
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