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
Harman [31]
3 years ago
7

Activity 11.10

Mathematics
1 answer:
Talja [164]3 years ago
6 0

Answer:

10

Step-by-step explanation:

Don't know sorry

You might be interested in
You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v=8000. Find the dimensions which minimize the
Inga [223]

Answer:

20 by 20 by 20

Step-by-step explanation:

Let the total surface of the rectangular box be expressed as S = 2xy + 2yz + 2xz

x is the length of the box

y is the width and

z is the height of the box.

S = 2xy + 2yz + 2xz ... 1

Given the volume V = xyz = 8000 ... 2

From equation 2;

z = 8000/xy

Substituting into equation 1;

S = 2xy + 2y(8000/xy)+ 2x(8000/xy)

S = 2xy+16000/x+16000/y

Differentiating the resulting equation with respect to x and y will give;

dS/dx = 2y + (-16000x⁻²)

dS/dx = 2y - 16000/x²

Similarly,

dS/dy = 2x  + (-160000y⁻²)

dS/dy = 2x - 16000/y²

Note that at the turning point, ds/dx = 0 and ds/dy = 0, hence;

2y - 16000/x² = 0 and 2x - 16000/y² = 0

2y = 16000/x² and 2x = 16000/y²

2y = 16000/(8000/y²)²

2y = 16000×y⁴/64,000,000

2y = y⁴/4000

y³ = 8000

y =³√8000

y = 20

Given 2x = 16000/y²

2x = 16000/20²

2x = 16000/400

2x = 40

x = 20

Since Volume of the box is V = xyz

8000 = 20(20)z

8000 = 400z

z = 8000/400

z = 20

Hence, the dimensions which minimize the surface area of this box is 20 by 20 by 20.

3 0
3 years ago
Monica uses 3 tablespoons of milk in her custard recipe. The ratio of tablespoons to fluid ounces is 2 : 1. How many fluid ounce
Gwar [14]

Answer:” use

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal

Let x be the fluid ounces of milk does Monica use.

As per the statement:

Monica uses 3 tablespoons of milk in her custard recipe.

It is also given that:

The ratio of tablespoons to fluid ounces is 2 : 1.

by proportion definition we have;

by cross multiply we have;

3 = 2x

Divide both sides by 2 we have;

therefore, fluid ounces of milk does Monica use.”

Step-by-step explanation:

9 0
2 years ago
Read 2 more answers
The distance on a bike path between Westfield and Southborough is 46 mi. Tracey leaves Westfield heading to Southborough cycling
ipn [44]

Answer: 2 hr.

Explanation: Think back to rate of change. <em>d</em> = <em>rt</em>, <em>r</em> = <em>d/t</em>, <em>t</em> = <em>d/r</em>. In this case, we will be using <em>d</em> = <em>rt</em>. Mph would be <em>r</em>, rate, so you would categorize 15 mph and 8 mph under rate. <em>t</em> should represent the time each cyclist traveled. Tracey's and Emma's distance, <em>d</em>, would be the same as their mph, hence Tracey's being 15<em>t</em> and Emma's would be 8<em>t</em>. When you add Tracey's distance plus Emma's distance, you end up with 46 mi. Now, you need to combine like terms, which should look like 15<em>t</em> + 8<em>t </em> = 46. Add 15 and 8 to get 23, so it should be 23<em>t</em> = 46 now. Then, divide both sides of the equation by 23 and now you should have your answer, <em>t</em> = 2 hr.

8 0
3 years ago
Read 2 more answers
If y=80,when x=32 find x when y=100
Bess [88]
Y        X
80     32
100    x'

80x' = 100*32
80x' = 3200
x' = 3200/80
x' = 320/8
x' = 40
5 0
3 years ago
Need help ASAP <br> Will Mark, you brainlist
zlopas [31]

Answer:

(4,-1)

Step-by-step explanation:

Yell at me if im wrong.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Q # 13 please help me
    14·2 answers
  • 1/4 cupcakes for 28 kids
    8·1 answer
  • Write a linear Write a linear function f with f(−9)=10 and f(−1)=−2.function f with f(−9)=10 and f(−1)=−2.
    9·1 answer
  • Use trig ratios to find the measure of the angle in this triangle. A .cos^-1(4/5) B. tan(4/5) tan^-1(4/5) C. sin(4/5) D. cos(4/5
    10·1 answer
  • Please help!!!! 30 pts
    12·2 answers
  • (PLEASE HELP/LAST QUESTION)
    15·1 answer
  • Please help I’m struggling
    15·1 answer
  • Can you guys help i’m kinda struggling
    5·1 answer
  • One of the local homeless shelters received a donation of 852 blankets to help support the homeless population during the harsh
    11·1 answer
  • Help QUICK PLS<br>I need answers quick<br>will mark as brainliest.​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!