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
Sliva [168]
1 year ago
14

a toy manufacturer has designed a new piece for use in building models. It is a cube with side lengths 7 mm and has a 3 mm in di

ameter circular hole cut through the middle. The manufacturer wants 1, 000, 000 prototypes . It's a plastic used to create the piece costs $207 per cubic meter, how much will the prototypes cost?

Mathematics
1 answer:
Ray Of Light [21]1 year ago
7 0

Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.

The volume of the piece can be calculated as,

\begin{gathered} \text{Volume of piece}=\text{ Volume of cube}-\text{ Volume of cylinder} \\ V=s^3-\frac{\pi}{4}d^2s \\ V=7^3-\frac{\pi}{4}(3)^2(7) \\ V=343-\frac{63\pi}{4} \\ V\approx293.52mm^3 \\ V\approx293.52\times10^{-9}\text{ }m^3 \end{gathered}

It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,

\begin{gathered} \text{Cost of 1 piece}=\text{ Cost per unit volume}\times\text{ Volume of 1 piece} \\ c=207\times293.52\times10^{-9} \\ c\approx60758.64\times10^{-9} \end{gathered}

This is the cost (in dollars) for 1 piece.

Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,

\begin{gathered} \text{Total Cost}=\text{ Cost per piece}\times\text{ No. of pieces} \\ TC=60758.64\times10^{-9}\times1,000,000 \\ TC=60758.64\times10^{-9}\times10^6 \\ TC=60758.64\times10^{-3} \\ TC=60.75864 \\ TC\approx60.75 \end{gathered}

Thus, the total prototypes will cost around $60.75

You might be interested in
What coordinate changes when reflected over the y-axis?
Alexeev081 [22]

Answer:

When a point is reflected across the y-axis, the y-coordinate(s) remain the same. But the x-coordinate(s) is transformed into opposite signs.

7 0
3 years ago
Read 2 more answers
I don't understand how to solve this please help
I am Lyosha [343]
Area=pi x radius squared so (3.14)(10)squared = 314
3 0
3 years ago
Read 2 more answers
Marketing analysis determined 55% of females between the ages of 25 to 34 years old search for green technology and practice bei
wolverine [178]

According to the given percentages, it is found that there is a 67% probability that a randomly selected man between the age of 25 and 34 does not search for green technology.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

We have that 33% of men search for green technology, hence, there is a 100 - 33 = 67% probability that a randomly selected man between the age of 25 and 34 does not search for green technology.

More can be learned about probabilities at brainly.com/question/14398287

8 0
2 years ago
What number is 5% of 46?
saveliy_v [14]
46 x 0.05, since 5% = 0.05 (5 / 100 = 0.05)

46 x 0.05 = 2.3


<span>7/12 is 58.33% </span>
<span>How do we change fractions to percents? </span>
<span>The steps are too simple. </span>

<span>First, divide the numerator (the number at the top of the fraction) by the denominator (the number below the fraction). </span>
<span>In the case above, 7 is the numerator and 12 is the denominator. </span>

<span>So, 7 ÷ 12 = 0.58333 </span>

<span>Then, multiply the result by 100. 0.5833 x 100= 58.33 </span>

<span>Finally, add the percent (%) sign to the result. </span>

<span>Therefore, 7/12 is 58.33%.  <span> </span></span>

6 0
3 years ago
Read 2 more answers
Write an recursive formula for An, the nth term of the sequence<br> 5, -2, -9,
oksian1 [2.3K]

Given:

The given sequence is:

5,-2,-9,...

To find:

The recursive formula for a_n, the nth term of the sequence.

Solution:

We have,

5,-2,-9,...

Here, the first term is 5.

-2-5=-7

-9-(-2)=-9+2

-9-(-2)=-7

The common difference is -7.

The recursive formula for the nth term of the sequence is

a_n=a_{n-1}+d

Where, d is the common difference.

Putting d=-7 in the above formula, we get

a_n=a_{n-1}+(-7)

a_n=a_{n-1}-7

Therefore, the recursive formula for the nth term of the sequence is a_n=a_{n-1}-7.

3 0
3 years ago
Other questions:
  • What are the solutions for x^2-4x-6=0
    8·1 answer
  • Jake is skipping stones onto a pond. Each time he flings a stone in, he counts
    15·2 answers
  • Describe a compound event. Represent its sampb space with an organized list, a table, and a tree diagram. Then design a simulati
    8·1 answer
  • Oceanside Bike Rental Shop charges 12 dollars plus 6 dollars an hour for renting a bike. Write an expression for the cost of ren
    11·1 answer
  • At a store a shirt has regular price of y dollars. During a sale, the price of the shirt by 40%. The expression 0.60y describes
    5·1 answer
  • Peter has 12 shirts in his closet. They are all green or blue. He has 8 MORE green shirts than blue shirts. How many of each col
    13·1 answer
  • Help thanks ASAP ASAP
    9·1 answer
  • Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
    7·2 answers
  • -2(6m - 7) + 3(m - 13)
    11·1 answer
  • *PLEASE ANSWERRR!!! NEED HELP ASAP*
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!