A box is formed by cutting congruent squares from the corners. Find the maximum volume of a box made out of a 14 inch by 18 inch cardboard. Find
the lenth of the side of the cut out square. Round to the nearest hundredth place "hint: you may have to change your window in desmos.
Jinches
a. Maximum volume
b. length of side of square: x=
inches
Answers
Answer:
Step-by-step explanation:
V = x(14 - 2x)(18 - 2x)
V = (14x - 2x²)(18 - 2x)
V = (252x - 28x² - 36x² + 4x³)
V = 4x³ - 64x² + 252x
V' = 12x² - 128x + 252
0 = 3x² - 32x + 63
x = (32 ±√(32² - 4(3)(63))) / (2(3)
x = (32 ± √268) / 6
x = 8.06 inches, which we ignore as this would mean we have no material left at all in the 14 inch dimension.
or
x = 2.60488... 2.60 inches
Vmax = 0.60(14 - 2(2.60))(18 - 2(2.60)) = 292.86478... = 292.86 inches³
Related Questions
maths 5x² - x(x + 4)
Answers
5x^2-x^2-4x
4x^2-4x is your answer
In a class 15 students like Maths. 20 students like English and 10 students like science. 5 students like all three subjects. If there are 50 students in the class, how many students like none of the three subjects?
Answers
Answer:
Everyone likes a subject so 0 students like none.
15+10+20+5=50
PLEASE HELP!
Charlie ate ¾ cup dry food for breakfast and another ½ cup for dinner. If the food
has a caloric density of 360kcal/cup, how many kcal did Charlie eat in total? Please show work!
Answers
Answer: 450 kcal
Step-by-step explanation:
So you know the food is 360 kcal per 1 cup
by setting up a proportion, you can relate the number of kcal to cups.
[tex]\frac{360 kcal}{1 cup} = \frac{?kcal}{(3/4 +1/2)cup} \\\\[/tex]
we can simplify the fraction to this:
[tex]\frac{360 kcal}{1 cup} = \frac{?kcal}{(5/4)cup} \\\\[/tex]
by cross multiplying you can solve the proportion
(360) * (5/4) = (?) * (1)
simplifying gets this:
450 = ?
so he ate 450 kcal total
HELP NOW ILL GIVE BRAINLIEST
Answers
Answer:
5x + 2y = - 26
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) , m
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~~~
( - 8 , 7 ) , m = - [tex]\frac{5}{2}[/tex]
y - 7 = - [tex]\frac{5}{2}[/tex] ( x - ( - 8 ) )
y + [tex]\frac{5}{2}[/tex] x = 7 - 20
5x + 2y = - 26
Trong tháng 05, tại cơ sở sản xuất có tài liệu sau. Tính thuế TTĐB mà cs phải nộp trong tháng. 1. Mua 5.000 lít rượu nguyên chất, với giá mua chưa thuế tiêu thụ đặc biệt 20.000đ/lít, thuế suất thuế TTĐB 65% 2. Trong tháng cơ sở sử dụng toàn bộ NL trên và sản xuất 15.000 chai rượu thuốc và đã tiêu thụ hết, với giá bán chưa thuế GTGT 120.000đ/chai, thuế suất TTĐB rượu thuốc 65%.
Answers
Answer:
what's this
Step-by-step explanation:
I cannot anderstand
How many ways can 100 be written as the sum of distinct integers from the set {1, 2,..., 15}?
Answers
Answer:
48 ways
Step-by-step explanation:
Let me take a guess
S₁_₁₅ = (1+15)*7 + 8 = 120
There are 48 combinations of distinct digits from 1 to 15 to make 20
120-20=100
So every 20 has a corresponding 100
I wish I got it right, otherwise report it.
what is the LCD of 1/10 and 1/12
Answers
Answer:
60
Step-by-step explanation:
You need to find a denominator where both numbers are able to be divisible. 60 is lowest number as the new fractions would be 6/60 and 5/60
Joy has some pairs of shoes six pairs of them are sneakers what expression shows how many pairs of shoes joy has that are not sneakers
Answers
You deposited $2,500 in a savings account
that yields 5% simple interest. You keep your
money in the account for 10 years. How much
interest will you earn?
Answers
我知道答案 但是如果你懂中文，我不知道怎么去掉这个语言回复
If 3 is the input for this function machine, what is the output?
x² + 2x +1
Answers
0.04 with 4 repeating as a fraction. Not the 04 repeating just the 4 is repeating. What is the answer???
Answers
Answer:
2/45
Step-by-step explanation:
0.04... is the same as 0.1 * 0.4... because we are moving it up a decimal place, it's the same as multiplying by ten: we needed to multiply by a tenth to cancel that out. 0.4... is the same as 4/9 and 0.1 is the same as 1/10. We can rewrite the expression above as: [tex](\frac{1}{10} )(\frac{4}{9} )[/tex]. Multiplying the two fractions results in 4/90 which can be simplified to 2/45.
(4×10)+(7×1/10) in fractions
Answers
Answer:
I think it's 308
...........
Cecilia set a goal to raise $4,800.00 for her favorite charity this year. She has decided to participate in a walk-a-thon to help her reach her goal. She found 30 sponsors and each sponsor has agreed to give her $0.50 for each mile that she walks in the walk-a-thon. If she walks a total of 25 miles, how much money will she still need to raise in order to reach her goal for this year?
A.
$4,675.00
B.
$5,175.00
C.
$4,762.50
D.
$4,425.00
Answers
Answer:
4,425$
Step-by-step explanation:
find the amount of Money raised
buy multiplying the amount raised per mile by each sponsor with the number of sponsor and the number of miles walked
[tex](30 \times 0.50) \times 25 = 375[/tex]
to find the remaining, subtract the raised amount from the intended amount.
[tex]4800 - 375 = 4425[/tex]
how do you divide 2.6 by 2.952
Answers
Answer:
how do you divide 2.6 by 2.952
Step-by-step explanation:
Modern Electronics offers a one-year monthly installment plan for a big screen TV. The payment for the first month is
$62, and then it increases by 4% each month for the rest of the year. Which expression can be used to find the total
amount paid in the first 12 months?
O 62/ 1-0.0412
1 -0.04
1 -1.0412
O 62
1 -0.04
1 - 1.0412
62
1 - 1.04
1 - 1.040.04
62
0 (
1-12
Answers
Answer:
64.48 (I am 45% sure) The number are mixed and hard to understanding.
Step-by-step explanation:
The linear equation of the total amount paid in the first 12 months will be y = 64.48x - 2.48.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Modern Electronics offers a one-year monthly installment plan for a big-screen TV.
The payment for the first month is $62, and then it increases by 4% each month for the rest of the year.
Then the payment after a month will be
Monthly payment = 1.04 × 62
Monthly payment = $64.48
Then the linear equation of the total amount paid in the first 12 months will be
y = 64.48(x - 1) + 62
Where y is the cost and x is the number of months.
The equation can be written as
y = 64.48x - 2.48
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ2
y=-3x^2+239x-2268
y=−3x
2
+239x−2268
Answers
Answer:
x=$39.83 (best price)
Step-by-step explanation:
HELP ME OUT PLEASE I NEED A ANSWER ASAP!!!
What is the slope of line segment AB?
A) 2/3
B) 3/4
C) 4/3
D) -3/4
Answers
Caleb rode his bike for
3
1
2
miles in the morning. Then he rode his bike another
2
1
2
miles in the afternoon.
Answers
Answer:
6 miles
Step-by-step explanation:
3+1/2+2+1/2=6miles
What is the ratio of consonants to syllables?
PTERODACTYL
Answers
Answer:
Step-by-step explanation:
Pterodactyl has 8 consonants and 4 syllables. So the ratio is 8 to 4, or 2 to 1, if reduced.
Please mark as brainliest if this helped you, and let me know if you have any questions. :)
PLEASE HELP
I WILL MARK BRAINLIEST
Answers
Do you do anything with excel?
Answers
like when you breathe out when you stop in stops breathing
help
struggling here :)))
Answers
Answer:25
Step-by-step explanation:
what is the slope and y intercept of −5x = 8−y
Answers
Answer:
im pretty sure its -5
Step-by-step explanation:
The slope-intercept form is y = m x + b
where m
is the slope and b
is the y-intercept.
y = m x + b
Using the slope-intercept form, the slope is
− 5 . m = − 5 i think im right but if this helpful your welcome uwu
Answer:
Slope is 5 and y-intercept is 8
Step-by-step explanation:
-5x = 8 - y Solve for y
-5x - 8 = -y
5x + 8 = y multiply by -1
So y = 5x + 8
Using y = mx + b "m" is the slope 5 "b" is the y-intercept
Which statement compares the two numbers correctly?
7 x 10 + 3 x 1 + 3 x 0.1 + 8 x 0.01 + 5 x 0.001 ________ 73.293
7 x 10 + 3 x 1 + 3 x 0.1 + 8 x 0.01 + 5 x 0.001 < 73.293
7 x 10 + 3 x 1 + 3 x 0.1 + 8 x 0.01 + 5 x 0.001 = 73.293
73.293 > 7 x 10 + 3 x 1 + 3 x 0.1 + 8 x 0.01 + 5 x 0.001
7 x 10 + 3 x 1 + 3 x 0.1 + 8 x 0.01 + 5 x 0.001 > 73.293
Answers
Answer:
last statement compares the two numbers correctly
Step-by-step explanation:
reason:when we add all the products of the first set of numbers we get 73.385 where the second number is only 73.293 which is less than 73.385
what is the value of 2(c+1) = 10
Answers
Answer:
c=4
Step-by-step explanation:
2c+2=10
2c=8
c=4
2c+2=10
take away two from both sides and you’ll get:
2c=8
divide both sides by 2 and you’ll get:
c=4
A sample of bacteria is growing at an hourly rate of 15% according to the continuous exponential growth function. The sample began with 14 bacteria.
How many bacteria will be in the sample after 25 hours? Round your answer down to the nearest whole number.
Answers
Answer:
mabye 45
Step-by-step explanation:
the bacteria increases 2 per hour so it should be 45
sorry if I am wrong it is just the answer I calculated
Need help with the second part ASAP.
Answers
9514 1404 393
Answer:
1/x = (1+√5)/2 ≈ 1.618034
Step-by-step explanation:
Since you are only interested in the second part, we presume you have solved the quadratic equation to find ...
x = (√5 -1)/2 ≈ 0.618034
The second part asks for 1/x. The usual method for rationalizing the denominator will be useful for this. Multiply numerator and denominator by the conjugate of the denominator.
[tex]\dfrac{1}{x}=1\div\dfrac{\sqrt{5}-1}{2}=1\times\dfrac{2}{\sqrt{5}-1}\\\\=\dfrac{2(\sqrt{5}+1)}{(\sqrt{5}-1)(\sqrt{5}+1)}=\dfrac{2\sqrt{5}+2}{5-1}=\boxed{\dfrac{\sqrt{5}+1}{2}\approx1.618034}[/tex]
_____
Additional comment
You may notice that 1/x = x+1.
Another Khan acd question
Answers
15 = r(30) (divide by 30)
R = 1/2 or 0.5.
Solve the inequality, write the answer in interval notation.
Answers
9514 1404 393
Answer:
(-∞, 2-√7) ∪ (2+√7, ∞)
Step-by-step explanation:
The factored form of a polynomial is helpful for solving related inequalities. For quadratics with two real zeros, the sign changes at each zero. If the leading coefficient is positive, the sign is positive to for x-values "outside" either zero, and is negative between the zeros.
Your inequality can be written in standard form as ...
x² -4x -3 > 0
x² -4x +4 -7 > 0
(x -2 -√7)(x -2 +√7) > 0 . . . . . factor the difference of squares (x-2)² -7
The zeros are at x=2-√7 and x=2+√7, so the product of these factors will be positive for x < 2-√7 and x > 2+√7. The solution in interval notation is ...
(-∞, 2-√7) ∪ (2+√7, ∞)
_____
Additional comment
We suspect a typo in the problem statement. If it were to read ... > -3, then the zeros would be at 1 and 3, and the solution would be (-∞, 1)∪(3, ∞).
What sales tax, at a rate of 6 1/2%, much you pay on the purchase of a computer hard disk drive costing $258.75?
Answers
Answer:
275.57
Step-by-step explanation:
258.75 ×6.5=16.817
275.57 +26.82 =275.57