Answer:
Box dimensions:
L = 3 ft
D = 6 ft
H = 1 ft
Volume V = 18 ft³
Step-by-step explanation:
a) Each side of the future box is
L = 5 - 2*x D = 8 - 2*x
height of the box is x
Then the volume of the box as function of x is:
V(x) = ( 5 - 2*x ) * ( 8 - 2*x ) * x
V(x) = ( 40 - 10*x - 16*x + 4*x² ) * x
V(x) = 40*x - 26*x² + 4*x³
Tacking derivatives on both sides of the equation:
V´(x) = 40 - 52*x + 12x² or V´(x) = 20 - 26*x + 6*x²
If V´(x) = 0
6*x² - 26*x + 20 = 0
Solving for x
x₁,₂ = (-b ± √ b² - 4*a*c ] /2*a
x₁,₂ = ( 26 ± √ 676 - 480 ) / 12
x₁,₂ = (26 ± 14 )/ 12
x₁ = 1
x₂ = 3,33 ( we dismiss this solution since is not feasible according to cardboard dimensions )
Then the sides of the box are:
L = 5 -2*x L = 5 - 2*1 L = 3 ft
D = 8 - 2*x D = 8 - 2*1 D = 6 ft
H = x = 1 ft
And the volume is V = 6*3*1 = 18 ft³
I’ll mark as BRANLIEST!!
35 POINTS!!
- Determine whether each table or rule represents a linear or exponential function. Explain why or why not.
Answer:
Definitions of gravitational force. (physics) the force of attraction between all masses in the universe; especially the attraction of the earth's mass for bodies near its surface. synonyms: gravitation, gravitational attraction, gravity.
Tell whether b=6 is a solution of 8b=48
Answer:
b= 6 for sure
Step-by-step explanation:
please help me out on this..............
Answer:
Option #2: 32 ÷2
Step-by-step explanation:
Take Note: There are 2 cups in a pint.
Since we are converting cups TO pints.... the number should (logically) be smaller. That eliminates the last two options.
Referring back to our note, it is only sensible to eliminate the first option since there are only 2 cups per pint, NOT 4.
In the end, you should have gotten option 2 which is 32÷2.
What is the fraction ⁸⁄₂₀ in its simplest form?
Answer:
2/5
Step-by-step explanation:
dsadsadasddsadsadasddsadsadasddsadsadasddsadsadasd
Step-by-step explanation:
8/20=4/10=2/5
done by cancelling
hope it helps
what makes 1/3 x > 12 true
Answer:
I dont know I am sorry I really had to ask a question and i don't have enough points so sorry you can report me if you want but I really need some
A jacket was originally $284. It is discounted 20%, but doesn’t sell, so it is discounted again by 20% off the sale price. Finally, after sitting in the store for 6 months, it is marked as clearance, at 50% of the lowest sale price. What is the clearance price of the jacket?
(d) State any two(2) properties of a semiconductor material.
Answer:
Semiconductors are somewhere in-between conductors and insulators. This means that they are specific when it comes to conducting electricity meaning that their conduction of electricity varies based on their condition at the time.
For instance, they can conduct electricity when heated.
Properties:
1. Perfect insulator at Absolute Zero.
As mentioned above, semi conductors are better at conducting electricity when they are heated. At Absolute zero - the lowest temperature possible - therefore, these materials would conduct absolutely no electricity thereby making them perfect insulators.
2. More resistance than Conductors but less than Insulators
As mentioned above, they have properties in-between those of insulators and conductors. One of those is their resistance. They can resist more than conductors but less than insulators.
What is MEAN ABSOLUTE DEVIATION and how do you find it?
Step-by-step explanation:
Step 1: Calculate the mean. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 3: Add those deviations together. Step 4: Divide the sum by the number of data points.
are these correct???
Answer:
They are all correct.
Step-by-step explanation:
1.
1/2(b)(h)
1/2(4)(6)
1/2(24)
12
2. l x w
7 x 5
35
3. (b)(h)
(8)(4)
32
its very easy just try it
Answer:
it is biased
Step-by-step explanation:
Will you explain it
Answer:
there is literally nothing in the picture
Answer:
it's a black screen sized 200x200
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is believed that the machine is underfilling the bags. A 9 bag sample had a mean of 431 grams with a variance of 144. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled
Answer:
No, there is not sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 434[/tex]
It is believed that the machine is underfilling the bags.
This means that the alternate hypothesis is:
[tex]H_{a}: \mu < 434[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
434 is tested at the null hypothesis:
This means that [tex]\mu = 434[/tex]
A 9 bag sample had a mean of 431 grams with a variance of 144.
This means that [tex]X = 431, n = 9, \sigma = \sqrt{144} = 12[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}[/tex]
[tex]z = -0.75[/tex]
P-value of the test:
The pvalue of the test is the pvalue of z = -0.75, which is 0.2266
0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.
Kailynn observed a SpaceX rocket on the launch pad in Cape Canaveral, Florida. The rocket is 230 feet tall, and Kailynn measures the angle of elevation between the base and the top of the rocket to be 5 degrees. How far is she from the base of the rocket?
A-2629feet
B-2639feet
C-20feet
D-231feet
And explain
Answer:
i think B
Step-by-step explanation:
Pls help! This test determines if I take math 1 or 2 for 8th grade!!
Answer:
My best guess is D she can make 4 dozen cokies
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
it is B because for number A 1+1 =2 2>1.75. B= 1.5<175, c= 0.5 <1, d. 2>1.75
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
Your answer would be:
[tex]5 \sqrt{3} [/tex]
Step-by-step explanation:
because
Use the distributive property to simplify 3 + 5c(2 + 6c) completely.
Answer:
Distributive property says that:
(A + B)*C = A*C + B*C
Now let's try to use it in our expression:
3 + 5*c*(2 + 6*c)
Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:
3 + (5*c)*2 + (5*c)*(6*c)
Now remember that the multiplications are associative and commutative, then we can write this as:
3 + (2*5)*c + (5*6)*(c*c)
3 + 10*c + 30*c^2
And we can't simplify it anymore.
Can somebody explain how I'm supposed to do this??
Answer:
C
Step-by-step explanation:
You take the points and input them into the equation. If they all equal the set then it is the equation. So for example a point on the graph is (2,30) so in this case x is 2 so you would do y= 15(2) which is 30. So that equation and point checks out. Repeat with the others
Answer:
its c
Step-by-step explanation:
:)
Joe needs to get to his house,which is 106 miles away in 2 hours.How fast does he need to drive
Answer:
53
Step-by-step explanation:
106 miles per hour would get him home in 1 hour but it takes 2 hours so you can divide 106 by 2 to 53 miles per hour.
What is the approximate area of this figure?
A. 25 cm
B. 31 cm
C. 38 cm
D. 42 cm
Answer:
I would say about B. 31 cm
Step-by-step explanation:
if you cut the shape into a triangle and a parallelogram, then you can easily guess that the other side of the square is about 4, and 4 x 4 is 16.. then you will multiply 8 by 4 and get 32 and then divide that by 2 and get 16 again, when you add both 16's together, you get 32, but 31 is closest
Mr. G's pet cat can travel 10 meters in 20 seconds. How many meters can the cat travel in 1 second? Write your answer as a ratio.
Answer:
0.5 meters a second or 0.5:1
Step-by-step explanation:
10 meters ÷ 20
_______________
20 seconds ÷ 20
=
0.5 meters
_______________
1 second
In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be surveyed in order to be 95% confident that your sample mean is within 11 minutes of the population mean? Assume that the standard deviation of the population of monthly time spent on the internet is 202 min. The minimum sample size required is_______computer users. (Round UP to the nearest whole number.)
Answer:
1568
Step-by-step explanation:
The computation of the minimum sample size is shown below:
Given that
Error E = 11
The population standard deviation [tex]\sigma[/tex] =217
Confidence level 1-α = 95%
Now following formula should be used
n > (Zalpha ÷ 2 × sigma ÷ E)^2
As we know that
Zalpha ÷ 2= 1.96
Now the sample size is
n> (1.96 × 202 ÷ 10)^2
= 1568
x
What are the perimeter and area
of a square with side length of 12 in.?
A. P= 24 in., A = 24 in.?
B. P= 144 in., A = 48 in.2
O
C. P = 24 in., A = 144 in.2
O
D. P= 48 in., A = 144 in.2
Answer: P = 48 in, A = 144 in.2
Step-by-step explanation: Since a square has equal sides and we know one side length is 12 inches, then all the sides are 12 inches. For perimeter, we add all sides, which would equal 48 and for area, we multiply 2 of the sides, which would be 144.
A retiree invests $7,000 in a savings plan that pays 7% per year. What will the account balance be at
the end of the first year?
Answer:
$6510
Step-by-step explanation:
First thing that should come to mind is: What is 7% of $7000?
Well, if you don't know how to find a percent of something, this is the formula you use:
7000 x 0.07 = 490.
In the first year, they will receive 490 out of the 7000 they've invested.
7000 - 490 = 6510.
Therefore, the account balance at the end of the first year will be 6510.
The account balance at the end of first year will be equal to $6510.
What do you mean by percentage ?
Percentage is the relative value indicating one hundredth part of any quantity.
It is given that a retiree invests $7000 in a savings plan which pays 7% per year. So , it meant that we need to calculate that what is the value 7% of $7000.
So , 7% of $7000 is :
= 7000 × [tex]\frac{7}{100}[/tex]
= $490
It is known that this amount is paid as per plan per year. So, to find out the account balance at the end of the first year , we need to subtract the invested amount to the amount per year at 7%.
So , the account balance at the end of first year will be :
= 7000 - 490
= $6510
Therefore , the account balance at the end of first year will be equal to $6510.
Learn more about percentage here :
brainly.com/question/22091903
#SPJ2
Help please!!
Brainliest if right
Answer:
top and bottom
Step-by-step explanation:
CAn someone help me plsss
13.76
Divide 27.52 by 2 to get 13.76
1) Solve 2 + 7x + 12 = 0 using factoring and the zero product property.
a) Factor2+7x+12
b) Use the zero product property to solve for x
b) Use the zero product property to solve for x
Answer:
7x+14=0, 7x=-14, x= -2
Step-by-step explanation:
add like terms, then get x on one side, number on the other, then divide both sides by 7
The incomes in a certain large population of college teachers have a normal distribution with a mean $75,000 and standard deviation $10,000. 16 teachers are selected at random from this population to serve on a committee. What is the probability that their average salary is more than $77,500?
Answer:
The probability that their average salary;
standard error
= 10,000/sqrt(16)
=10,000/4
= 2500
(77,500 - 75000)/2500
2,500/2500
= 1
p (z > 1) = .1587
So, the probability that their average salary is more than $77,500 is 0.1587
Step-by-step explanation:
Solve for x. -4.5 = -0.5(x – 7.1)
Answer:
16.1
Step-by-step explanation:
Answer:
I believe the answer is x = 16.1
Step-by-step explanation:
Write a recursive formula and an explicit formula for the following arithmetic sequence.
5, 3, 1, -1, ...
A recursive formula is a1 = , an = |
(Simplify your answers. Use integers or decimals for any numbers in the expressions.)
An explicit formula is an =
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
Answer:
Step-by-step explanation:
please help!! Area of Trapezoids and Triangles
Answer: Area of the shape is 168 ft.
Step-by-step explanation: Split the shape into 2 shapes: A rectangle and a triangle.
Area of the rectangle shape is 144 and the area of the triangle is 24. Add them and you get 168.
