Answer:
56 Sq Ft
Step-by-step explanation:
8x7= 56
A person is wearing a bracelet with 11 settings around the bracelet. How many different ways can 12 birthstones be
arranged around the bracelet?
O 10!
11!
O 12!
Answer:
10
Step-by-step explanation:
I think I hope this helps
A lidless box is constructed by cutting a square with side length x from a rectangular sheet of paper with dimensions a x b. After the cut is removed, the sides are folded up to form the
box.
a) Find the value of x (in terms of a and b) that maximizes the volume of the box.
b) Find the value of x that maximizes the volume of the box when a = 8.5 inches and b= 11 inches.
Answer:
a) [tex]x =\dfrac{a+b -\sqrt{(a + b)^2 - 3\cdot a \cdot b} }{6}[/tex]
b) The volume of the box is maximized when 'x' is approximately 1.585 feet
Step-by-step explanation:
a) Let 'a' represent the length of the rectangular sheet of paper and let 'b' represent the with of the rectangular sheet of paper, we have;
The length of the side of the square cut from the corners of the rectangular sheet of paper = x
The length of the box formed after cutting the square sides are;
The length of the box, l = a - 2·x
The width of the box, w = b - 2·x
The height of the box, h = x
The volume of the box, V = l × w × h = (a - 2·x)·(b - 2·x)·x = 4·x³ - 2·a·x² - 2·b·x² + a·b·x
The value of 'x' that gives the maximum volume of the box is given by finding the extremum of the volume, 'V', of the box as follows;
At the extremum, dV/dx = 0
∴ d(4·x³ - 2·a·x² - 2·b·x² + a·b·x)/dx = 12·x² - 4·a·x - 4·b·x + a·b = 0
12·x² - 4·(a + b)·x + a·b = 0
[tex]x = \dfrac{4\cdot (a + b) \pm \sqrt{(-4\cdot (a + b) )^2-4 \times12\times a \cdot b } }{2 \times 24} =\dfrac{a+b\pm\sqrt{(a + b)^2 - 3\cdot a \cdot b} }{6}[/tex]
Found from part (b), the value of 'x' (in terms of 'a' and 'b') that maximizes the volume of the box is [tex]x =\dfrac{a+b -\sqrt{(a + b)^2 - 3\cdot a \cdot b} }{6}[/tex]
b), When a = 8.5 inches and b = 11 inches, we have;
x = (8.5 + 11 +√((8.5 + 11)² - 3×8.5×11))/6 = 4.914
x = (8.5 + 11 -√((8.5 + 11)² - 3×8.5×11))/6 ≈ 1.585
We get;
When x = 1.585, V = 4·1.585³ - 2·8.5·1.585² - 2·11·1.585² + 8.5·11·1.585 ≈ 66.15
When x = 4.914, V = 4·4.914³ - 2·8.5·4.914² - 2·11·4.914² + 8.5·11·4.914 ≈ -7.65
Therefore, the value of 'x' that gives the maximum volume of the box is x = (8.5 + 11 -√((8.5 + 11)² - 3×8.5×11))/6 ≈ 1.585
(The value of 'x' in terms of 'a' and 'b' is therefore;
[tex]x =\dfrac{a+b -\sqrt{(a + b)^2 - 3\cdot a \cdot b} }{6}[/tex])
The volume of the box is maximized when, x ≈ 1.585 feet
in a class of 25 students, 18 were math majors, 12 were computer science majors, and 7 were dual majors in math and computer science.
A)How many students were majoring in math only?
B)How many students were not majoring in computer science?
C) how many students were not math or computer science majors?
Answer:
Use n(u) formula of chapter sets
Step-by-step explanation:
Have a good day
11 students were majoring in math only; 13 students were not majoring in computer science; and 2 students were not math or computer science majors.
Given that in a class of 25 students, 18 were math majors, 12 were computer science majors, and 7 were dual majors in math and computer science, to determine A) how many students were majoring in math only; B) how many students were not majoring in computer science; and C) how many students were not math or computer science majors; the following calculation must be performed:
Math majors only = 18 - 7 = 11 Not majoring in computer science = 25 - 12 = 13 Not math or computer science majors = 25 - 7 - 11 - (12 - 7) = 18 - 11 - 5 = 2
Therefore, 11 students were majoring in math only; 13 students were not majoring in computer science; and 2 students were not math or computer science majors.
Learn more in https://brainly.com/question/20293703
-3•x^3. Help! pls and thankyou
Help me with this please.
The Cohens found 8 pairs of shorts with the following prices:
$10, $11, $11, $16, $16, $17, $18, $38
Which statements about the prices are true? Select all that apply.
A. The Median is $16
B. The range of the prices is $28.
C. The interquartile range is between $6 and $7
D. If the price that is the farthest from the mean is removed, The median will change.
E.If the price that is farthest from the mean is removed, the mean will become larger.
PLEASE EXPLAIN THIS ALSO, DO NOT PUT ANY LINKS EITHER, LINKS WILL BE REPORTED.
Answer:
A. B. and C.
(and hi again)
Below. What is m∠1?
m∠1 =
Answer:
m∠1 = 70°
Step-by-step explanation:
Step 1
Sum of angles on a straight line = 180°
Hence:
180° - 101°
= 79°
Sum of interior angles in a triangle = 180°
Hence
m∠1 = 180° - (79 ° + 31°)
m∠1 = 70°
A line passes through the origin and the point (3.5). What is the slope of the line? 0
3/5
-3/5
5/3
Answer:
5/3 is the slope of the line.
Four fifths of the 35 kittens finish their milk how many did not finish their
Answer:
7 kittens did not finish their milk
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Help please!!
and Thank you!!
Find the surface area.
Answer:
2411.52 mm²
Step-by-step explanation:
[tex]40^{2} =32^2+d^2[/tex]
→ [tex]d^2= 1600-1024[/tex]
→[tex]= 576[/tex]
→ [tex]d= 24[/tex] [tex]so, (radius=12[/tex]
[tex]Total~ surface ~ area= (2\pi r)*height[/tex]
→ [tex](2*3.14*12*82)[/tex]
[tex]= 2411.52 mm^2[/tex]
-------------------------------
hope it helps...
have a great day!!
Answer:
2411.52 mm²
Step-by-step explanation:
hope its helpful
Suppose HIJK is a parallelogram. Find the value of x and y.
Answer:
x = 90, y = 12
Step-by-step explanation:
The key to this problem is the fact that opposite sides of a parallelogram are congruent (their lengths are equal).
Set up and solve two equations, one for x and one for y.
x + 80 = 2x - 10
80 = x - 10
90 = x
--------------------------
3y - 4 = y + 20
2y - 4 = 20
2y = 24
y = 12
solve the system by substitution
5x+y=-14
5x- 3y=2
Answer:
x=-2 and y=-24
Step-by-step explanation:
plug in the value of y (-5x-14) into the second equationHelppppppppppppppppp
Answer:
I just need points sorry love But the answer is A.
Step-by-step explanation:
what is the measure of each angle
What is the mean absolute deviation of the data set?
{5, 7, 12, 11, 3, 10}
Answer:
3
Step-by-step explanation: First, you find the mean of the data set. Then you take that mean and find the difference of that and each value, you add those up and find the mean of that number.
You and three of your friends go parasailing for 128.40 you split the cost
evenly. How much does each person pay?
Answer:
40 each i think maybe 30 if not
Is x=2 a solution to the equation below?
4(x-1)-3(x-2)=-8
Answer:
No
Step-by-step explanation:
To find out if 2 is a solution, replace all the x's with 2.
4(2 - 1) - 3(2 - 2) =8
4(1) - 3(0) = 8
4 - 0 = 8
4 = 8
Nope! False! 2 is not a solution.
U have $77 in your bank account than you write a check for $100 at the store how many do I have now? Please show work
Answer:
$-23
77 - 100 = -23
The graph of a polynomial function may have no x-intercepts.
true or false
true (I don't know if this is the answer but it would be my guess)
please help me
i’m so stuck
Answer:
2 cm
Step-by-step explanation:
V=πr2h = 20π
-π -π
r2h = 20
h= 5
r2(5) = 20
/5 /5
r2=4
/2 /2
r=2cm
(my work is complicated, but trust me 2 cm is the answer)
After a month of successful fundraising,
Elena and her classmates voted on
whether to donate the money they had
raised to hunger relief or to environmental
causes. 50% of the 12 votes were in favor
Of hunger relief. How many votes were
for hunger relief?
Answer:
6
Step-by-step explanation:
50% of 12= 1/2 of 12= 6
Answer:
6 votes were for hunger relief.
Step-by-step explanation:
Total number of votes = 12
Percentage of votes for hunger relief = 50%
So, number of votes for hunger relief would be:-
50% of 12 votes
That equals--> [tex]\frac{50}{100}[/tex] x 12
= 0.5 x 12
= 6 votes
Triangle DEF is shown on the coordinate grid below triangle DEF is reflected across the Y axis which role best describes this transformation
Answer:
I can’t see the picture
Step-by-step explanation:
lets find the answer
Answer:
(-3,0)
Step-by-step explanation:
1) find the coordinate of x
x = -3
2) find the coordinate of y
the point lies on x axis so y = 0
The coordinates are (-3, 0)
:)
a man cycles a distance of 63km in less than 3hours what is the average speed
Answer:
21 km/h
Step-by-step explanation:
You notice that another cupboard door is in the shape of a square that is divided into two isosceles triangles. You measure the height of the cupboard to be 16 inches. What is the area of one of the triangles shown on the face of the cupboard door? Show your work.
Answer:
i wrote "13 8/9 because 16 2/3 x 16 2/3= 50/3 x 50/3 = 250/9 then 250/9 ÷ 2 = 125/9 = 13 8/9"
Step-by-step explanation: if u add in some words or something so you teacher isnt sus hope you pass!!
2x + 2y = -2
3x - 2y = 12
Answer:
Answer:
(2,-3)
Step-by-step explanation:
2x + 2y = -2
3x - 2y = 12
Add the two equations to eliminate y
2x + 2y = -2
3x - 2y = 12
-----------------------
5x = 10
5x/5 = 10/5
x = 2
Now find y
2x+2y = -2
2(2)+2y = -2
4+2y = -2
Subtract 4 from each side
4-4 +2y = -2-4
2y = -6
Divide by 2
2y/2 = -6/2
y = -3
(2,-3)
The cost (c) for g number of gelato ice cream is shown in the table. Complete the table and graph the proportional relationship between the number of gelatos purchased and the total cost.
g c
2 8
5
6
8
7
Which equation can be used to describe the relationship between x and y shown in the graph
below?
3x + 2
D-3x - 6
D
3-6
D3X2
PLEASE HELP ASAP!!!
Answer:
4. x=0 x=5
5. x=-4 x=8
A shoe store marks up the recommended price of a pair of shoes by 12.5% when they are first released. A month later, the store decides to put these shoes on sale. They want the new sale price to be equivalent to the original recommended price. By what percent should they decrease the marked–up price to make it equivalent to the original recommended price? Round your answer to the nearest tenth.
Answer:
I know the answer come follow me to see