Answer:
The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]
Step-by-step explanation:
The length of the box = [tex]l[/tex]
The height of the box = [tex]h[/tex]
The volume of the box can be obtained by multiplying the surface area of the base by the height of the box.
The surface area of the base of the box is a square, so it will be obtained by multiplying [tex]l \times l = l^2[/tex]
hence volume = [tex]l^2 \times h =29[/tex]
Notice that we are told to give our answer in terms of l, so we will make h the Subject of the formula in the above equation.
[tex]h =29/l^2[/tex]
In the next phase, we are to find the surface area of the box.
The box has a square base, hence it will be made up of
2 squares with 4 rectangles. This is assuming the top is closed.
This means the surface area will be
[tex]2(l^2) +4 (l\times h)[/tex]
recall [tex]h = 29/l^2[/tex]
Hence, surface area =
[tex]2(l^2) +4(l \times 29/l^2)\\2l^2 +116/l[/tex]
The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]
The surface area of the closed box in terms of l only, which has the square base is,
[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]
What is of volume of cuboid?
Volume of cuboid or box is the amount of quantity, which is obtained by it in the 3 dimensional space.
The volume of cuboid or box can be given as,
[tex]V=l\times b\times h[/tex]
Here, (l) is the length, (b) is the width of the box and (h) is the height of the box.
A closed box has a square base with side length l feet and height h feet. Therefore, the length and width will be the same.
The volume of the box is 29 cubic feet. Thus,
[tex]29=l\times (l)\times h\\h=\dfrac{29}{l^2}[/tex]
The surface area of the square base box is,
[tex]A=2l^2+4lh[/tex]
Put the value of height,
[tex]A=2l^2+4l\dfrac{29}{l^2}\\A=2l^2+\dfrac{116}{l}\\[/tex]
Hence, the surface area of the closed box in terms of l only, which has the square base is,
[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]
Learn more about the volume of cylinder here;
https://brainly.com/question/12748872
there are 36 playing tag at recess. this is 6 times as many playing hopscotch. which model shows this comparison?
i got the top one to the left (checking my answer)
Answer:
The top left one is correct.
Step-by-step explanation:
We can rewrite this as an algebraic expression simply so it's easier to read.
Let's say hopscotch is [tex]h[/tex]. Tag is 6 times [tex]h[/tex], or [tex]6h[/tex].
That means for every 1 unit of hopscotch, there are 6 units of tag.
The top left one is correct.
Write an equation in slope-intercept form for the line.
slope: 0.8, y-intercept: 10
Group of answer choices
y = –0.8x + 10
y = 0.8x – 10
y = 0.8x + 10
y = 5/7x + 10
Answer:
y = 0.8x – 10
This is the correct answer.
Step-by-step explanation:
The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results Instructor Number of Failures Prof. A 13 Prof. B 0 Prof. C 11 Prof. D 16 What are the .95 (5 percent risk of Type I error) upper and lower control limits for the p-chart
Answer:
Prof B and Prof D
Step-by-step explanation:
Step-by-step explanation:
From the question we are told that
Sample size 100
Instructor Number of Failures
Prof. A 13
Prof. B 0
Prof. C 11
Prof. D 16
Confidence level= 0.95
From Z table
Z=1.96
Generally proportion for failure is mathematically given as
[tex]Proportion\ of\ Failure\ P=\frac{Number\ of\ Failure\ N}{Sample\ size\ S}[/tex]
[tex]P=\frac{N}{S}[/tex]
For Prof A
[tex]P_A=\frac{N_A}{S}[/tex]
[tex]P_A=\frac{13}{100}[/tex]
[tex]P_A=0.13[/tex]
For Prof B
[tex]P_B=\frac{N_B}{S}[/tex]
[tex]P_B=\frac{0}{100}[/tex]
[tex]P_B=0[/tex]
For Prof C
[tex]P_C=\frac{N_C}{S}[/tex]
[tex]P_C=\frac{11}{100}[/tex]
[tex]P_C=0.11[/tex]
For Prof D
[tex]P_D=\frac{N_D}{S}[/tex]
[tex]P_D=\frac{16}{100}[/tex]
[tex]P_D=0.16[/tex]
Generally the average proportional failure is mathematically given as
[tex]P_a_v_g=\frac{0.13+0+0.11+0.16}{4}[/tex]
[tex]P_a_v_g=0.10[/tex]
Therefore having this we calculate for the control limits
Generally the upper control limit UCl is mathematically given as
Upper control limits:
[tex]UCL =P_a_v_g +Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]
[tex]UCL =0.1 +1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]
[tex]UCL =0.1 +1.96*0.03[/tex]
[tex]UCL =0.1 +0.0588[/tex]
[tex]UCL =0.1588[/tex]
Generally the upper control limit UCl is mathematically given as
Lower limit control limits:
[tex]UCL =P_a_v_g _Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]
[tex]UCL =0.1 -1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]
[tex]UCL =0.1 -1.96*0.03[/tex]
[tex]UCL =0.1 -0.0588[/tex]
[tex]UCL =0.0412[/tex]
Therefore the Range is 0.0412 to 0.1588
Given the range 0.0412 to 0.1588 Prof B and Prof D are outside the Range making them the correct options
The perimeter of a rectangle is 120 centimeters. The base is 3 times the height. What are the dimensions of the rectangle? a. h = 9cm, b = 18 cm c. h = 15 cm, b = 45 cm b. h = 19 cm, b = 57 cm d. h = 10 cm, b = 15 cm
Answer:
[tex]Height = 15[/tex]
[tex]Base = 45[/tex]
Step-by-step explanation:
Given
Shape: Rectangle
[tex]Perimeter = 120cm[/tex]
[tex]Base = 3 * Height[/tex]
Required
Determine the dimensions
The perimeter of a rectangle is:
[tex]Perimeter = 2 * (Base + Height)[/tex]
Substitute 120 for Perimeter
[tex]120 = 2 * (Base + Height)[/tex]
Divide both sides by 2
[tex]60 = Base + Height[/tex]
Substitute 3 * Height for Base
[tex]60 = 3 * Height + Height[/tex]
[tex]60 = 3Height + Height[/tex]
[tex]60 = 4Height[/tex]
Divide both sides by 4
[tex]15 = Height[/tex]
[tex]Height = 15[/tex]
Substitute 15 for Height in [tex]Base = 3 * Height[/tex]
[tex]Base = 3 * 15[/tex]
[tex]Base = 45[/tex]
In 1850, there were 564 textile mills in New England states with a total of 61,893 workers. The average wmployment per textile mill was ?
Answer Choices
109
110
108
111
Please help
Part b is how much farther would she have to walk if she stopped at randis house before continuing on to the store
Answer:
10 units
Step-by-step explanation:
Distance from Sarah's house to Randi's house = 6 units.
Distance from Randi's house to store = 8 units.
By using Pythagoras theorem:
Distance from Sarah's house to store
[tex] = \sqrt{ {6}^{2} + {8}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]
PLEASE HELP ME WITH THIS ITS NOT EVEN HARD IM JUST REALLY LAZY
Answer:
1) 8
2) 2
3) 1
4) 4
5) skiing, snowboarding,ice skating, sledding
Step-by-step explanation:
Answer:
1.) 8
2.) 2 more people
3.) 1 less for skiing
4.) 4
5.) Skiing, Snowboarding, Ice skating, Sledding,
Evaluate 3x-(5x-1)-3(2x-10)
Answer:
-8x + 31
Step-by-step explanation:
Hope it helps, have a great day
Giving brainliest. 7th grade math
At Mary’s fruit stand, a basket of cherries costs $4 and a basket of peaches costs $9. In one morning, Katya sells 96 baskets for $644. How many baskets of peaches were sold?
Answer:
The number of strawberry baskets sold was 44
Step-by-step explanation:
Let
x ----> the number of strawberry baskets sold
y ---> the number of raspberries baskets sold
we know that
In one morning, Katya sells 96 baskets for $644
so
----> equation A
---> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (44.52)
see the attached figure
therefore
The number of strawberry baskets sold was 44 and the number of raspberries baskets sold was 52
Mr. Hunterhad 25 students in his 4th period math class. The next day, he has
only 20 students. What is the percent decrease in the number of students in
Mr. Hunter's class?
Answer:20 percent
Step-by-step explanation:correct me if I’m wrong
Two angle measures of this triangle are 60°. Which type of triangle is it?
Answer:
It's an equilateral triangle.
Step-by-step explanation:
For starters, the angle measures of any triangle all add up to 180 degrees. Because 2 sides of this triangle are 60 degrees, the two sides added up would be 120 degrees. Because 180 - 120 = 60, the unknown side is 60 degrees. Because an equilateral triangle is a triangle where all the angles or sides are equal, and all of the angle measures of the triangle are equal, it is an equilateral triangle.
(a) Write 1.04 x 10as an ordinary number.
(b) Write 0.06 in standard form.
4.62 x 10% tins of beans were sold last year.
These tins of beans cost a total of £300.3 million.
(c)Work out the average cost per tin of beans.
Answer: here are your answers, Add 3.45 X 1010 and 2.75 X 108. The first number is the same as 345 X 108. Note how as the decimal point moves, the exponent changes. Adding them, we get 347.75 X 108 or – less accurately – 3.48 X 1010.
Add 4.00 X 1012 and 7.55 X 1012. The answer is 11.55 X 1012 or 1.16 X 10 13.
Step-by-step explanation: here are your answers, Add 3.45 X 1010 and 2.75 X 108. The first number is the same as 345 X 108. Note how as the decimal point moves, the exponent changes. Adding them, we get 347.75 X 108 or – less accurately – 3.48 X 1010.
Add 4.00 X 1012 and 7.55 X 1012. The answer is 11.55 X 1012 or 1.16 X 10 13.
What is the probability of picking a yellow marble and a blue marble of the yellow marble is replaced ?
Answer:
50%
Step-by-step explanation:
the area of a rectangle is 49.7cm2, and the width the rectangle is 3.5 cm what is the length rectangle cenimeters
Answer:
Answer = 14. 2
Step-by-step explanation:
Area of rectangle = length x breath
So, area here is = 49.7 cm2
Breath = 3.5 cm
49.7 = length x 3.5
Length = 49.7 ÷ 3.5
Length = 14.2 cm
What is the x-coordinate of the point shown in the graph?
y
8
4
-2
2 2
4
B
-8-6-4-2
-2
4
Answer:
-5, -7 or its -7, -5
Step-by-step explanation:
Answer:
-7 -5
Step-by-step explanation:
Graph the equation.
y =2x-2
Answer:
Okay so
y = mx + b
m is the slope
b is the y intercept
Step-by-step explanation:
Step-by-step explanation:
I hope this helps I used desmos
Mr. Chu is slicing for cantaloupes his for his class there are 24 students in the class if Mr. Chu cuts the cantaloupes to make a equal portion for each student how many of the whole cantaloupe what each student get
Answer:
3 cantaloupes
Step-by-step explanation:
Since there are 24 students if you divide 24 by 3 it equals 8 so eat cantaloupe should be cut into 8 pieces. So, Mr.chu should buy 3 cantaloupes and cut each of the cantaloups in 8 equivalent slices for the students.
f(x)= −2x^2 + 8x − 10
{Find } f(-4)
Answer:
simply you have to substitute (-4) for all the (x) terms-2x²+8x -10-2(-4)²+8×(-4)-10-2(16) - 32 -10-32 -32 - 10-74
Hello can someone please help me. I'll give 50 points.
How many solutions will this system of equations have?
y = -3.5x - 3.5
y = -3.5x + 3.5
It'll be a life saver if you guys can actually help me with this problem.. Please.
There are 500 cars in Frank's junkyard; 350 blue and 150 red. If Joe randomly selects 25 cars from his yard, what's the probability he'll get from 14 to 20 blue cars, inclusive? Could this be considered an almost binomial event?
A. P(x=14) + P(x=15) + P(x=16) + P(x=17) + P(x=18) + P(x=19) This is an almost binomial event.
B. binomcdf(25,.7,20) - binomcdf(25,.7,14) This is almost binomial event.
C. (25/14)(.7)^14(.3)^11 + (25/15)(.7)^15(.3)^10 + ... + (25/19) (.7)^19(.3)^6 + (25/20)(.7)^20(.3)^5 This is an almost binomial event
D. P(14 < x <20) Not an almost binomial event.
E. binompdf(25,.7,20) - binompdf(25,.7,14) Not an almost binomial event
Answer:
C. (25/14)(.7)^14(.3)^11 + (25/15)(.7)^15(.3)^10 + ... + (25/19) (.7)^19(.3)^6 + (25/20)(.7)^20(.3)^5 This is an almost binomial event
Step-by-step explanation:
I think
need help 8y+3y+9x+4y-5x
Answer:
4x+15y
Step-by-step explanation:
If you want it simplified
ben made 14 field goal he made about 74% how many did he try
In the diagram the radius of the outer circle is 2x cm and the radius of the inner circle is 6 cm. The area of the shaded region is 160
let's find the area of the outer circle and the inside circle
the inside's circle area
A= π x 6²=36π
the outer's
A' = π x 4x²= 4πx²
A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7.
What is the slope for this??
Answer:
slope: [tex]\frac{13}{4}[/tex]
Step-by-step explanation:
What is the square root of -16?
Step-by-step explanation:
3 is the correct answer
In the figure, x | y and a is a transversal that crosses the
parallel lines.
a
Which angle pair forms alternate exterior angles?
O 24 and 26
O 22 and 28
O 23 and 25
o 22 and 26
Answer:the answer is b
Step-by-step explanation:
There are 946 milliliters in a quart. There are 2 pints in a quart.
How many milliliters are in a pint?
Answer:
473
Step-by-step explanation:
I divided 946 and 2 and got 473. I'm not 100 percent this is correct but whatever
If you are good at math please dm me on ig 14lies, or twitt binderelluh1
Answer:
Okay
Step-by-step explanation:
m∠2 = by the .
m∠1 = by the .
m∠3 = by the .