Janelle is using a piece of cardstock to create an open box with no top. The cardstock is 8 inches by 11 inches. She cuts a square with length out of each corner and folds up the sides to create the box. Find the volume of the box, , in standard form.
Answer: 4x^3-38x^2+88x
Step-by-step explanation:
The volume of the box in standard form is 4x³ - 38x² + 88x
Since Janelle cuts a square of side length x out of each corner of the cardstock, we have a length x + x = 2x cut out of each dimension of the cardstock.
Since the dimensions of the cardstock are 8 inches by 11 inches, cutting out a length of 2x inches from each dimension to produce the length, L and width, w of the open box, we have the length of the open box, L = 8 -2x and the width of the open box, W = 11 - 2x.
Since the height of the open box is the length x of the square cut out of each corner, and the open box is a rectangular box,
So, the volume of the box is
V = LWx
Substituting the values of the variables into the equation, we have
V = LWx
V = (8 - 2x)(11 - 2x)x
Expanding the brackets, we have
V = (88 - 16x - 22x + 4x²)x
V = (88 - 38x + 4x²)x
V = 88x - 38x² + 4x³
Re-arranging, we have
V = 4x³ - 38x² + 88x
So, the volume of the box in standard form is 4x³ - 38x² + 88x
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Can you please help ASAP!!! WILL MARK YOU BRAINLIEST Which of the following steps would not be necessary when using the square root property to solve a quadratic equation? When taking the square root of both sides, use ± on the square root of the constant. The square root property may be applied only if the constant is positive. Isolate the quantity being squared. After applying the square root property, solve the resulting equations.
Answer:
The square root property may be applied only if the constant is positive
Step-by-step explanation:
Defenitly sure because I did ASAP also! Your Welcome! Please Mark me Brainliest!
What correct equation to find the length of DF in the following diagram
Answer:
Where is the diagram... I don't see it
Solve equation.
-3x + 1 + 10x = x + 4
Answer: x=1/2
(for anyone who needs the answer)
Answer:
[tex]x=1/2[/tex]
Step-by-step explanation:
So we have the equation:
[tex]-3x+1=10x=x+4[/tex]
First, combine like terms on the left:
[tex]7x+1=x+4[/tex]
Subtract 1 from both sides. The left cancels:
[tex](7x+1)-1=(x+4)-1\\7x=x+3[/tex]
Subtract x from both sides. The right cancels:
[tex](7x)-x=(x+3)-x\\6x=3[/tex]
Divide both sides by 6:
[tex](6x)/6=(3)/6\\x=1/2[/tex]
So, our answer is 1/2
Answer:
x = 1/2
Step-by-step explanation:
-3x + 1 + 10x = x + 4 ⇒ simplify left side7x + 1 = x + 4 ⇒ subtract x + 1 from both sides7x - x = 4 - 1 ⇒ simplify6x = 3 ⇒ divide both sides by 6x = 3/6 ⇒ simplifyx = 1/2 ⇒ answerContinue each pattern with the next two numbers.
2.11,13,16,20,25,31,38?
Answer:
the next two numbers would be: 46 and 55
Step-by-step explanation:
the pattern is adding. you added 2 to 11, 3 to 13, 4 to 16, 5 to 20, 6 to 25, and 7 to 31.
so you just add 8 to 38, and add 9 to whatever you got when you added 8 to 38, which was 46
Lines CE and AD intersect at point B. 37° What is the measure of angle DBE? 370 530 O 1270 0 1430
Answer:
idk how to answer
Step-by-step explanation:
i need more info
Answer:
127 degrees
Step-by-step explanation:
it obtuse
Is 9.45 bigger than 0.945
Step-by-step explanation:
Yes it is
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Write an equation in slope-intercept form of the line that is a segment bisector of both AB and CD. Ay 4 B(6,3) A(-4,1) -4 -2 2. 4 6 X D(5, -1) -2 4 C1-1,-5) -6
Answer:
y = -5x + 7
Step-by-step explanation:
Given that the location of the points are:
A(-4, 1), B(6, 3), C(-1, -5) and D(5, -1)
The location of the bisector of a line is given as:
[tex]x=\frac{x_1+x_2}{2} \\\\y=\frac{y_1+y_2}{2}[/tex]
If E(x1, y1) is the bisector of segment AB then the location of E is at:
[tex]x_1 =\frac{-4+6}{2}=1 \\\\y_1=\frac{1+3}{2}=2[/tex]
Hence E is at (1, 2)
If F(x2, y2) is the bisector of segment CD then the location of F is at:
[tex]x_2 =\frac{-1+5}{2}=2 \\\\y_2=\frac{-5-1}{2}=-3[/tex]
Hence F is at (2, -3)
Hence the line that is a segment bisector of both AB and CD pass through the point (1, 2) and (2, -3).
The equation of the line is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-2=\frac{-3-2}{2-1}(x-1)\\ \\y-2=-5(x-1)\\\\y-2=-5x+5\\\\y=-5x+7[/tex]
Answer: The equation is: y = -5x + 7.
Step-by-step explanation:
Given that the location of the points are:
A(-4, 1), B(6, 3), C(-1, -5) and D(5, -1).
Midpoint of A(-4, 1), B(6, 3) is = [tex]\left(\frac{\left(-4+6\right)}{2},\frac{\left(1+3\right)}{2}\right)=(1,2)[/tex].
Midpoint of C(-1, -5) and D(5, -1) is [tex]\left(\frac{\left(-1+5\right)}{2},\frac{\left(-5-1\right)}{2}\right)=(2,-3)[/tex].
Using point slope formula:
[tex]\frac{y-2}{x-1}=\frac{-3-2}{2-1}\\\frac{y-2}{x-1}=-5\\y-2=-5x+5\\y=-5x+7[/tex]
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Round to the nearest whole number.
432.846
Answer: 433 of course
432 is the whole number and 846 is the decimal,
the number closest to the whole number is 8
we can only round the number forward if the number is 5 or more than 5 (6,7,8,9)
so 432.856 rounds to 433
Answer:
433
Step-by-step explanation:
846 is closer to 433 than it is to 432.
So, the answer is 433.
Hope this helps!
If miley has 200 pencils and Katie has 300 more pencils then how many more does Katie have then miley
Answer: 300
Step-by-step explanation: 300+200=500
then 500-200=300
Answer:
answer is 300
Step-by-step explanation:
it explains that she has 300 more
A cylinder has base radius 4 feet and height 8.5 feet. Find its volume.
I need help 9th grade
b is the correct answer because it equals the amount of the proplem
Answer:
its C.
Step-by-step explanation:
which graph represents the solution to the inequality y<1/2x-4
The graph shown in option (B) represents the solution to the inequality y<1/2x-4
InequalityA relation between two mathematical expressions which are not equal is known as inequality.
Graphing inequalitiesFirst, solve the given inequality so that y is on the left side and everything else is on the right side.Then, plot the graph for the equation.Finally, we will shade above the line for the ">" and below the line for the "<".Which graph represents y < 1/2x-4?The inequality symbol is "<" (less than).
So, the line of the graph should be dashed and shaded below the line.
Comparing the graphs given in the question, we can conclude that option (B) is correct.
Hence, the graph in option (B) represents the solution to inequality y<1/2x-4.
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Answer:
B aka y<1/2x-4
Step-by-step explanation:
I did this before
If the domain of the function f(x)=2x2- 8is {-2, 3, 5}, then the range is
Answer:
{0, 10, 42}
Step-by-step explanation:
Domain is set of input values and range is set output values.
For the function f(x) = 2x² - 8 and domain set of {-2, 3, 5}
Range is:
f(-2) = 2(-2)² - 8 = 0f(3) = 2*3² - 8 = 10f(5) = 2*5² - 8 = 42Range: {0, 10, 42}
What is the prime factorization of 28? Please Help! This is due tomorrow! I really want to get an A! Help, please!!!!!!!!!!!!
Evaluate 8a + 3b - 10 + c^2 when a = 2,b = 5 and c = 4
The answer to your problem is 37.
PLEASEEE HELPP ME !!! I NEED THE ANSWERS ASAP!!!
Answer:
1.
Step-by-step explanation:
Since the line segment FH bisects angle EFG, angle HFG = Half of Angle EFG.
Angle EFG = 177 - 9x. Angle HFG = 92 - 8x.
177 - 9x = 2(92 - 8x)
177 - 9x = 184 - 16x
7x = 7
x = 1.
Step-by-step explanation:
x=85 hope it helps you. mark as brilliant
What is the missing output?
Answer:
28
Step-by-step explanation:
We substitute all of the x's for threes to get the output.
f(3)= 3(9)-(2*3)+7
f(3)= 27-6+7
f(3)= 21+7
f(3)= 28
When a number is doubled and then added to 24,the result is 49
Answer:
12.5 has to be the number that was doubled.
Step-by-step explanation:
24+2x=49 is your equation
you subtract 24 from 49 you get 25
25 divided by 2 is 12.5 there for 12.5+12.5 is 25
25+24=49
Hope this helps!
Determine the domain and range of the given function. The domain is . The range is
Answer:
A: all real numbers
and
B: All real numbers greater than or equal to -2
Step-by-step explanation:
edg2021
The domain refers to values on the X-axis, and as you can see there are arrows on the orange line, meaning it goes on "forever". This is all real numbers.
The y-axis (range) has the line go through at -2. The line is pointing up, which means all the numbers are greater than -2, or could be equal to -2.
Answer:
lA: all real numbers
B: All real numbers greater than or equal to -2
Step-by-step explanation:
If y = 2x and 3x – 3y = 2, then x = what ?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='. The value of x in the two of the given equations is 2/–3.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that y = 2x and 3x – 3y = 2, therefore, if we substitute the value of y from y=2x into the second equation 3x-3y=2, then,
3x – 3y = 2
3x – 3(2x) = 2
3x – 6x = 2
–3x = 2
x = 2/–3
Hence, the value of x in the two of the given equations is 2/–3.
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Combining Like Terms Simplify -2n(9-10n)
Answer:
-18n+20n^2
you just have to distribute
WILL MARK YOU BRAINLIEST
Answer:
26. QOR = 59 - 24
= 25
27. POS = 19+31+15
=65
28. ROS = 46 - (61-28)
= 13
model the following expression: - 8 + 5.
Answer:
-8+5 =-3that is answer
Answer:
-8 + 5 = -3
Step-by-step explanation:
(Image)
name the part of the circle and explain your answer. (not radius)
Side AB measures five units, Side BC is two units, Side CD is five units, side DA is two units. what is the correct length for each side of the translated figure
Answer:
Step-by-step explanation:
It's given in this question,
Length of side AB = length of side CD = 5 units
Length of side BC = length of side AD = 2 units
If the given quadrilateral is translated lengths of all the image sides will not be equal because translation of a figure is a rigid transformation.
And in rigid transformations length of the sides and the angles between the sides never change.
Answer:
first is 5 second is 2 then the third on is 5 then last on is 2 so the order should be 5,2,5,2 Step-by-step explanation:
Ms. Smith has 28 sixth graders and 35 seventh graders for Math. If she wants to break the two grades into identical groups without any students left over, how many students will be in each group? *
Answer:
58
Step-by-step explanation:
Given: B = 7 −3 5 −1 C = 1 −1 13 −5 Solve the equation: 2X + B = C X =
Answer:
Actually, this is referring to matrix equations, so it's -3 1 4 2-
Step-by-step explanation:
Hey, so I got this from the comments and wanted it to be a real answer, so please give them lot's of thanks if you can. They are keatonmorehouse0727.
Bamboo plants can grow 91 centimeters per day. What is the approximate growth of the plant in inches? Round to the nearest hundredth
Answer:
35 in per day Step-by-step explanation:
what are the solutions of x^2 - 4 = 0
It is a difference of squares, so we can factor this to
[tex](x+2)(x-2)=0[/tex]
Then, we can solve for [tex]x[/tex].
[tex]x=-2,2[/tex]
Hope this helps.
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