Answer:
Let x represent the edge dimension of the square base in feet. Then the area of the base or lid is x², and the height of the box is 5/x². Total cost is then ...
... cost = cost of lid + 4×(cost of one side) + cost of bottom
... cost = 0.2x² + 4×(0.2x(5/x²)) + 0.5x²
... cost = 0.7x² + 4/x
We can differentiate this with respect to x and set that derivative to zero. This will give us the x-value at which the cost is a minimum.
... d(cost)/dx = 1.4x -4/x² = 0
... x³ = 4/1.4
... x = ∛(20/7) ≈ 1.419
Then the height of the box is
... height = 5/x² ≈ 5/2.01351 ≈ 2.483
The box is 1.491 ft square and 2.483 ft high.
______
The average cost of the top and bottom is (0.2 +0.5)/2 = 0.35 per square foot. The overall cost will be minimized when the average cost of each face is the same. That is, the areas of the lateral faces will be equal and must be 0.35/0.2 = 1.75 times the area of the top or bottom to make the average cost of a lateral face equal to that of the top or bottom. Hence, the base will be square, and the box will be 1.75 times as high as it is wide or deep. The base edge dimension is then ∛(5/1.75) ≈ 1.419 ft.
Step-by-step explanation:
Dont send me pdfs or links please answer correctly for brainliest
Determine whether each sample is unbiased with complete sentences.
1. The population is every person living in the town of Greenblueville.
A. Sample: All people who signed up to participate in a survey at the courthouse.
B. Sample: Every person in the town is put onto a list in order of youngest to oldest. Every 101st person is chosen.
C. Sample: All names are written on pieces of paper and dropped into a container. Three hundred names are drawn.
D. Sample: Every person who enters the local gas station on Wednesday between the hours of 1 and 3pm is used in the sample.
Answer:
C. Sample: All names are written on pieces of paper and dropped into a container. Three hundred names are drawn.
Step-by-step explanation:
please mark this answer as brainlest
Can someone please help me with this
Answer:
1. 96 inches squared
2. h=324
3. 85
Step-by-step explanation:
1. v=lwh
v=8•3•4
v=96
2. 345- 21
h=324
3. 1,012/12
=84.3
hope this helped!
Can someone help me please!!!
1. 109
2. 52
3. 4
4. 89
5. 111
6. 72
i need help pleaseeee
Abdul used a probability simulator to roll a 6-sided number cube and flip a coin 100 times. The results are shown in the tables below:
Number on
the Cube Number of
Times Rolled
1
18
2
10
3
12
4
25
5
3
6
32
Heads Tails
45
55
Using Abdul's simulation, what is the probability of rolling a 2 on the number cube and the coin landing heads up? (5 points)
Answer:
450/10000
Step-by-step explanation:
Probability of rolling a 2 : 10/100
Probability of getting heads up : 45/100
Probability of both together : 10/100 * 45/100 = 450/10000
A submarine is searching for underwater features. It is accompanied by a small aircraft and an underwater robotic vehicle.
Answer:
j
Step-by-step explanation:
Due TONIGHT PLEASE DO!
Answer:
50, 573, 57, R, 73
Step-by-step explanation:
Hello can someone help
Answer:
Kimko, Bentley, Leon
Step-by-step explanation:
These three people are less than 3m away from sea level.
Choose the value for x that makes the proportion true.
1 ft / 16in. = xft/64in.
A. 3
B. 4
C. 5
D. 6
Answer:
B
Step-by-step explanation:
I need the correct answer for this it says incorrect?????
Answer:
x-13
Step-by-step explanation:
why you may ask?
subtracted=being taken away from
13 is *being taken away from* x
so if using numbers, 13 is being taken away from 20
or 13 is being subtracted from 20 would be 7, so x-13 would be your expression
PLEASE ANSWER FOR BRAINLIEST :) <3
Answer:
M or NMO
Step-by-step explanation:
Angle M or angle NMO
Answer:
Angle LMO
Angle OMN
Luh!! I hope it can Help
please help me with this and prove how you got your answer
PLZZZ help with this its pretty simple!
Answer:
B
Step-by-step explanation:
hope this helps
What is the missing number?
x + 5/6 = 7/16
Answer:
x= 19/48 i did the math and checked it twice and used a math site so gimme brainly please
Step-by-step explanation:
help confusing???? HELP ASAP
Answer:
expression: t³
Step-by-step explanation:
a number that can be presented by: t, is cubed which means it's raised to the power of 3.
How long does it take an account with a principal of $600 to earn $90 in interest at a simple annual interest rate of 5%
Answer:
3 yrs
Step-by-step explanation:
1st year=600*1.05=630
2nd year=630*1.05=661.5
3rd year=661.5*1.05=794.57
Plsss help me with this if you know how to solve this plsss help me with it thank you also remember NO LINKS AND NO DOING IT JUST FOR POINTS OR YOUR ANSWER WILL BE REPORTED and if you have a question plss ask me in the "ask fluttershyponybutter about this question" section
Answer:
1: You may name either C/H or D/G
2: You can say A/G, B/H, D/E, or C/F
3: You can say either A/E or B/F
4: 102*
5: 47*
6: 43*
7: 35*
Step-by-step explanation:
1. Alternate Interior Angles are angles made and formed when two parallel or non-parallel lines are intersected by a transversal
2. Corresponding Angles are angles that are in the same position relative to lines intersected by a transversal
3. Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal
4. Using the Corresponding Angle formula, we know that angle x is equivalent to the corresponding angle above it
5. Using the Alternate Exterior Angle formula, we know that the angle y is equal to the 47* angle
6. Supplementary Angles are two angles whose measures add up to 180 degrees.
7. Using the Alternate Exterior Angle formula, we know that the angle w is equal to the 35* angle
Answer:
im big dmb
Step-by-step explanation:
A triangle ABC is reflected across the y-axis and then translated 5 units down to triangle A'B'C'. How are the side lengths of triangle ABC related to the side lengths of triangle A'B'C'?
Paulo has a receipt from a restaurant. The total amount is blurred, but he knows he left a $4.25 tip, which was 20% of the cost of the meal. How much did his meal cost? How much did he spend in total?
No random answers pls
Answer:
21.25 and a total of 25.50
Step-by-step explanation:
multiply 4.25 by 5 to get the meal cost and add the 4.25 for the tip
I only need help with (b).plz answer asap!!
Answer:
16
Step-by-step explanation:
If the real rectangle is 8x6, the area would be 48.
To find 1/3 of 48, you would do 48/3.
Hence,16
What is the median of the data
Answer:
5
Step-by-step explanation:
Median is the middle
Here is Laila’s graph from the previous screen.
Write your own equation in the form y=mx+b that could represent Laila’s graph.
Answer:
y=-1/3x+8
Step-by-step explanation:
There is no need for any specific answers, but here is one that could logically work out. Since the graph is going left/down, it has a negative slope, so -1/3 would be reasonable. The graph doesn't cross the origin and crosses above it, so this equation must have a positive 'b' value. In this case, I chose 8. y=-1/3+8 could represent Laila's graph.
PLEASE HELP, NO LINKS OR DON’T ANSWER JUST FOR POINTS OR YOU WILL BE REPORTED! WILL GIVE BRAINLIEST!!
Answer:
9. x = 7
10. x = 12
Step-by-step explanation:
Assume the two lines are parallel.
9. The corresponding angles are congruent.
9x - 3 = 7x + 11
2x = 14
x = 7
10. The alternate interior angles are congruent.
5x - 20 = 2x + 16
3x = 36
x = 12
Sarah is on a 400 mile road trip. She has 114 miles left to travel. Her vehicle gets about 22 miles per gallon. She wants to know how many gallons of gasoline she has used.
Hilary and William both found the number of gallons of gasoline Sarah used on her trip. They each used a different method to solve the problem. Which statements are true? Check all that apply.
Answer:
13 gallons
Step-by-step explanation:
Answer:
C. They both subtracted 114 from 400
D. The difference of 114 fro 400 represents the number of miles Sarah has traveled so far
!! IMAGE ATTACHED & 30 POINTS !!
What is the measure of angle PQS in the figure below?
A. 36°
B. 60°
C. 72°
D. 108°
PLS HELP BRAINLIEST FOR CORRECT ANSWER+20 POINTS
Answer:
120 blocks total
Step-by-step explanation:
All of the little cubes have side length 2" Thus, the 11" height of the box cannot be used entirely: we waste the top 1" because the five layers of little cubes reach only to 10" from the bottom.
Start at the bottom of the box. The dimensions of the bottom are 12" by 8". Along the longer side we can lay 6 blocks (which add up to 12" and are 2" wide. We can add 3 more such rows to fill the available 8" width of the box bottom. That's 6*4, or 24 blocks.
We can add 4 more 6 block by 4 block layers before we have the maximum 5 layers stacked in the box.
5 layers times 24 blocks per layer comes to 120 blocks total.
What is the outlier for the data set?
PLEASE HELP ASAP IM CONFUSED!!
Answer:
B. 1152
Step-by-step explanation:
First you do the base. 24 x 24 is 576. Now you do each triangle. 12 x 24 = 288 and 288 divided by 2 is 144. 144 x 4 = 576. 576 + 576 = 1152.
I hope this helps! <3
Please help i'll give brainleist
Answer:
A. 1/40 or 2.5%
B. 125 out of 5000
Answer:
For Question A, It's a probability of 5/200, and for Question B, It's 125 pairs of defective blue jeans.
Step-by-step explanation:
Simplify the expression: cos (7x) cos (4x) + sin (7x) sin (4x).
Its either
cos(11x)
cos(3x)
sin(11x)
sin(3x)
The ANSWER IS COS(3X)
Answer:
!WARNING! DO NOT CLICK THE LINK THIS PERSON HAS PREVIDED IS A HACK LINK. ALL OF THE LINKS ARE THE SAME AND WHEN YOU GO IN THEY TRACK YOUR DIVICE AND GET YOUR LOCATION. PLEASE COPY AND PASTE THIS TO OTHER PEOPLE WHO HAVE PUT THIS LINK. HAVE A GREAT DAY.
Step-by-step explanation: