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
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
A book sold 33,100 copies in its first month of release. Suppose this represents 7.8% of the number of copies sold to date. How many copies have been sold to date?
Round your answer to the nearest whole number.
Which number is larger, 4.7 or 4.7777 77777? Explain your answer.
Answer:
4.7777 is larger
Step-by-step explanation:
4.7777 can be approximately written as 4.8
4.8 > 4.7
4.7777 > 4.7
Consider the parabola given by the equation: y = 1x^2 - 12x + 27
A) the vertex = (_,_)
B) the y-intercept is the point (0,_)
C) find the two values of x that corresponds to the x intercepts of the parabola and write them as a list separated by commas:
X= ___
Answer:
vertex: (6, -9)
y intercept: (0, 27)
X = 3, 9
Step-by-step explanation:
Finding Vertex (Part A)
Consider the formula -b/2a. This formula gives you the x-coordinate of the vertex.
y = 1x^2 - 12x + 27
a = 1
b= -12
c =27
-b/2a = - (-12)/2(1) = 12/2 = 6 (x-coordinate of vertex)
When solving for the y-coordinate of the vertex you will need to substitute your 'x" back into the equation.
y = 1(6)^2 - 12(6) + 27
y = 36 - 72 + 27 = -9 (y-coordinate of vertex)
--------------------------------------------------------------------------
Y- Intercept (Part B)
When looking for the y-intercept your "x" must always be 0.
Substitute 0 in every "x" in equation.
y = 1(0)^2 - 12(0) + 27
y = 27
y intercept: (0, 27)
------------------------------------------------------------------------------
X- Intercepts (Part C)
To find the values of "x" factor.
y = 1x^2 - 12x + 27
0 = 1x^2 - 12x + 27
0 = (x - 3 )(x - 9 )
(x-3) = 0 (x-9) = 0
x = 3 x = 9
I really need help someone?
Answer:
$11.80
Step-by-step explanation:
5x.90=4.5
63.5-4.5=59
59/5=11.8
Frida owed
$75
on
her credit card. Then she charged
$21
more. What was her new
balance?
Which statement about this mapping is true?
The mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.
The mapping represents y as a function of x, because each x-value is related to exactly one y-value.
The mapping does not represent y as a function of x, because there are more x-values than related y-values.
The mapping represents y as a function of x, because each y-value is related to exactly one x-value.
Answer:
The mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.
Step-by-step explanation:
See it's not a function
Because In a function every c value has a unique y value.Here there is 4 values for one x .So it's a relationThe statement which is true about this mapping is the mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
WE have been given a domain figure.
We can see that the input values has more than one output values.
therefore, it cannot be a function Because in a function every input value has a unique y value.
Here there is 4 values for one x input.
x = 3
y = 2, 4, 5, 6
So it's a relation
Hence, the statement which is true about this mapping is the mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
7.) She offered the Sharks 15% of her company for $30,000. How much is her
company worth? (Hint, Use a proportion to find what 100% of her company is
worth)
% 15
100%
$ 30,000
X
Answer:
100
Step-by-step explanation: 30/15=2 2*50=100
cscy-siny=cosy(coty)
Step-by-step explanation:
[tex]\csc y - \sin y = \dfrac{1}{\sin y} - \sin y[/tex]
[tex]\:\:\:\:\:\:\:\:=\dfrac{1 - \sin^2y}{\sin y}[/tex]
[tex]\:\:\:\:\:\:\:\:= \dfrac{\cos^2y}{\sin y}[/tex]
[tex]\:\:\:\:\:\:\:\:=\cos y \left(\dfrac{\cos y}{\sin y}\right)[/tex]
[tex]\:\:\:\:\:\:\:\:= \cos y \cot y[/tex]
guys pls answer my question i am very confused
Cindy paid $16.50 for 3 cups of iced milo and 2 fish burgers.Each fish burger cost $1.50 more than a cup of iced milo.How much money did Cindy pay for one cup of iced milo
Answer:
$2.7
Step-by-step explanation
16.5 = 3m+2b
b = 1.5+m
16.5=3m+2m+3
16.5=5m+3
13.5=5m
m=2.7
Solve This
[tex]6 {}^{2} \times 6 {}^{3} [/tex]
[tex]( \sqrt{103} [/tex]
Hey there!
Question #1
6^2 × 6^3
6^2
= 6 × 6
= 36
6^3
= 6 × 6 × 6
= 36 × 6
= 216
36 × 216
= 7,776
6^2 × 6^3
= 6^5
• Question #1 answer: 7,776 or 6^5 either answer should work because both answers are equivalent
Question #2
√103
= 10.148892
• Question #2 answer: 10.148892
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
[tex] \small \sf \: 6 {}^{5} [/tex]
Alternate form: - 7776.
Step-by-step explanation:
1). 6² × 6 ³.
6² = 6 × 6 = 366³ = 6 × 6 × 6 = 2166² × 6³ = 36 × 216 = 7776.
Or,
6² × 6³
= [tex] \sf \small \: 6 {}^{2 + 3} [/tex]= [tex] \small \sf \: 6 {}^{5} [/tex]Find the value of x that makes line u and like v and parallel.
Answer:
6
Step-by-step explanation:
130 = 20x + 10
120 = 20x
6 = x
Answer:
6
Step-by-step explanation:
12x÷×5642579052
yjgrjhihdj
Is 6 hours correct guys?
Answer:
yes it 6 hours
Step-by-step explanation:
Answer:
8 hours
Step-by-step explanation:
if the jacket is 32$, then we have to go beyond the graph, and make a function line.
so we can find the slope, how much money does she get per hour?
she gets 4$ per hour, meaning the equation is y=4x
y is the amount of money, x is the amount of hours.
substitute our desired amount of money, 32
32=4x
divide each side by 4 and you get 8
Lori is solving the equation 4x2 + 5x - 6 = 0 using the quadratic formula. Which
expression shows the correct numbers substituted into the quadratic formula to
solve?
Answer:
[tex] \frac{ - 5 + \sqrt{( {5})^{2} } - 4(4)( - 6) }{ 2(4)} [/tex]
pls answer the question important
Step-by-step explanation:
no they are not parallel
Answer:
not equal
Step-by-step explanation:
its not parallel because sum of angles of alternate angle are not equal.
Mason goes to a store an buys an item that costs xx dollars. He has a coupon for 30% off, and then a 7% tax is added to the discounted price. Write an expression in terms of x that represents the total amount that Mason paid at the register.
THE TOTAL AMOUNT THAT MASON PAID IS 549
Please please answer super easy
Answer:
Step-by-step explanation:
You need y by itself on one side of the equal sign and x and the y intercept on the other side.
4x + 2y = - 12 Subtract 4x from both sides
2y = -4x - 12 Divide by 2
2y/2 = -4x/2 - 12/2
y = -2x - 6
Note: y also must be plus. x can be either plus or minus
m = - 2
b = - 6
Find the equation of a line that contains the points (-3,-1) and (-4, -7). Write the equation in slope-intercept form.
Answer:
y = 6x + 17
Step-by-step explanation:
First you can find the slope:
m = (y2-y1) / (x2-x1)
m = (-7 - (-1)) / (-4 - (-3))
m = (-7 + 1) / (-4 + 3)
m = -6 / -1
m = 6
_______
Then we can plug what we know into the point-slope form:
y - y1 = m (x - x1)
(you can pick either one of the points to plug in as (x1, y1))
y - (-7) = 6 (x - (-4))
y + 7 = 6 (x + 4)
_______
Now we can change the point-slope form into slope-intercept form by solving for y:
y + 7 = 6 (x + 4)
y + 7 = 6x + 24
y = 6x + 17
Help plz. I will give brainilest!
Answer:
4.35
Step-by-step explanation:
Make the numerator improper, by doing 8x4+3 which equals 35. And then drag that whole number to the front and slap a decimal between the whole number (4) and your new numerator (35)! Which would be: 4.35
The difference between 5 times a number and the number is 28 equation
Answer: I think the number would be 7
first distribute, then combine like terms 5(2x+7)+4x
Answer:
14x+35
Step-by-step explanation:
10x+4x=14x
5*7=35
Answer:6x+12
Step-by-step explanation: combine like terms.
_:65=9:13
please help mee
Answer:
45
Step-by-step explanation:
We can divide
65 divided by 13.
65 divided by 13 is 5.
Now we mutliply that 5 to the 9.
9 times 5 is 45.
What is the equation of the line that passes through the point (2, 1) and has a
slope of 3/2?
Given :-
A line having a slope of 3/2 passes through (2,1) .To Find :-
The equation of the line .Answer :-
According to the question ,
m = 3/2 Point = (2,1)We know Point slope form of the line as ,
y - y¡ = m ( x - x ¡ )Substitute ,
y - 1 = 3/2 ( x - 2 ) y - 1 = 3/2x - 3/2*2y - 1 = 3/2x - 3 2( y -1) = 3/2x *2 - 3*22y - 2 = 3x - 6 3x - 2y -4 = 0Hence the equation of the line is 3x -2y-4=0 .
Answer:
Step-by-step explanation:
Use the form y = mx + b and plug in your known point
y = 3x/2 + b
1 = 3(2)/2 + b
1 = 3 + b
b = -2
y = 3x/2 - 2
we can use a plotting calculator to verify our result.
A pigeon was sitting 15 feet from the base of a telephone pole and flew 25 feet to reach the top of the pole. How tall is the telephone pole?
The length of a rectangle is three times
the width. The perimeter of the rectangle
is 24 inches. Write and solve an equation
to determine the width of the rectangle.
Answer: 3 inches
Step-by-step explanation:
Let x= width of rectangle
Let y=length of rectangle
y=3x, 2x+2y=24
Substitution:
2x+2(3x)=24
8x=24
x=3
Look for a pattem to find the value of n
Answer:
It's 0.
Step-by-step explanation:
When you started counting from the left to the right. You will notice that the numbers get increased. At the 3 as a x-value, there would be 0.
This might surely help you ☺️❤️.
Keep studying and rest doubts leave on us. ❤️❤️
solve pls brainliest
Answer:
a) -10
b) +150
Answer: (a.) -50/5=-1 (b.) 5*30=+150
Step-by-step explanation:
(a.) each stock went down by -10x5=-50
(b.) 5x10=50. 50x3=150
half way I was doing this it got deleted
Which sentence illustrates the commutative property for addition? (1) (a+b)+c=a+(b+c)
(2) a(b+c)=ab+ac
(3) a+0=a
(4) a+b=b+a
Answer:
the answer is 2a(b+c)=ab+acAnswer:
The 4th option is correct. a+b = b+a
Step-by-step explanation:
Use rulers and compasses to draw a line which is perpendicular to line AB at point C
Answer:
Draw a line AB
Take a point C on AB
Fix the tip of compass at C and with a fix radius, cut AB on both sides of C
Mark those points D and E
Fix the tip of compass on D, and with the same radius, draw an arc above C
Do the same with E
Those two arcs will intersect at a point, mark the point F
Make a line passing through both C and F
Line CF is perpendicular to AB