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
kotegsom [21]
3 years ago
13

A storage company must design a large rectangular container with a square base. The volume is 6750ft3. The material for the top

costs $12 per square foot, the material for the sides costs $5 per square foot, and the material for the bottom costs $8 per square foot. Find the dimensions of the container that will minimize the total cost of material.
Mathematics
1 answer:
GuDViN [60]3 years ago
4 0
Ответ 163.54
Ниже расписано описание

You might be interested in
A physical fitness association is including the mile run in its secondary- school fitness test. the time for this event for boys
liberstina [14]

Answer:

<u>The probability that a randomly selected boy in school can run the mile in less than 348 seconds is 1.1%.</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

μ of the time a group of boys run the mile in its secondary- school fitness test  = 440 seconds

σ of the time a group of boys run the mile in its secondary- school fitness test = 40 seconds

2. Find the probability that a randomly selected boy in school can run the mile in less than 348 seconds.

Let's find out the z-score, this way:

z-score = (348 - 440)/40

z-score = -92/40 = -2.3

Now let's find out the probability of z-score = -2.3, using the table:

p (-2.3) = 0.0107

p (-2.3) = 0.0107 * 100

p (-2.3) = 1.1% (rounding to the next tenth)

<u>The probability that a randomly selected boy in school can run the mile in less than 348 seconds is 1.1%.</u>

4 0
3 years ago
Read 2 more answers
Determine whether LINE AB and LINE CD are parallel, perpendicular, or neither. A(−1, −4) , B(2, 11) , C(1, 1) , D(4, 10) ( write
Luba_88 [7]

Step-by-step explanation:

Hey there!

The points of line AB are; (-1,-4) and (2,11).

Note:

  • Use double point formula and simplify it to get two eqaution.
  • Use condition of parallel lines, perpendicular lines to know whether the lines are parallel or perpendicular or nothing.

~ Use double point formula.

(y - y1) =  \frac{y2 - y1}{x2 - x1} (x - x1)

~ Keep all values.

(y  + 4) =  \frac{11 + 4}{2 + 1} (x + 1)

~ Simplify it.

y + 4 =  \frac{15}{3} (x + 1)

y + 4 = 5x + 5

5x - y + 1 = 0

Therefore this is the equation of line AB.

Now, Finding the equation of line CD.

Given;

The points of line CD are; (1,1) and (4,10).

~ Using formula.

(y - y1) =  \frac{y2 - y1}{x2 - x1}(x - x1)

~ Keep all values.

(y - 1) =  \frac{10 - 1}{4 - 1} (x - 1)

~ Simplify it.

y - 1 = 3 x - 3

3x - y - 2 = 0

Therefore, 3x - y- 2 = 0 is the eqaution of line CD.

Use condition of parallel lines.

m1= m2

Slope of equation (i)

m1 =  \frac{ - coeff. \: of \: x}{coeff \: of \: y}

m1 =  \frac{ - 5}{ - 1}

Therefore, m1 = 5

Slope of second equation.

m2 =  \frac{ - coeff \: .of \: x}{coeff \: .of \: y}

m2 =   \frac{ - 3}{ - 1}

Therefore, m2 = 3.

Now, m1≠m2.

So, the lies are not parallel.

Check for perpendicular.

m1*m2= -1

3*5≠-1.

Therefore, they aren't perpendicular too.

So, they are neither.

<em><u>Hope </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

6 0
3 years ago
Sarah needs to complete 10,008 hours of guitar practice. How many hours of practice a day should she do to reach her goal in 3 y
avanturin [10]
10008 hours per 3 years is average of 3336 hours per year, or about 9.1 per day.
4 0
3 years ago
Solve the system of equations
Brums [2.3K]
5x+4y = 73
-4x + 4y = -8

5x + 4y -(-4x+4y) = 73 -(-8)
5x + 4y + 4x - 4y = 81
5x + 4x + 4y - 4y = 81
9x = 81
x = 81÷9
x = 9

Substitute x = 9 into any of the equations to find y.

5(9) + 4y = 73
45 + 4y = 73
4y = 73 - 45
4y = 28
y = 28÷4
y=7

Answers :
x = 9
y = 7
8 0
3 years ago
Read 2 more answers
8,155 to the nearest thousand
ki77a [65]

Answer: 8,000

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • 46 for 5 need it to get a straight A
    7·1 answer
  • 2|4x-5|-2=-4 how do I solve this?​
    6·1 answer
  • Jane has a checkbook balance of $68.00. She then writes two checks, one for $5.00 and one for $62.50. She also deposits $75.00.
    13·2 answers
  • What is (4a²)³÷8a²? can you please answer in normal number form (not like 3²)
    13·1 answer
  • To prove ∆LMN ≅ ∆PQR by SSS you need _______________ and<br> ______________ and ______________
    8·1 answer
  • Which table(s), if any, represents a proportional relationship? Explain.
    6·1 answer
  • What is the ratio of the leg opposite the angle to the leg adjacent to the<br> angle.
    5·1 answer
  • 1. There are 1,200 students at Woodland Hills Elementary. Approximately 600 of
    13·1 answer
  • The points (2,3) and (5,9) are on the line. What is the equation of the line
    14·1 answer
  • It cost Allison $5.80 to send 58 text messages. How much would it cost to send 40 text messages?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!