5. Teo cuts 4 squares with side length x in. from the corners of a 10 in. by 15 in.

cardboard rectangle. He folds the remaining cardboard to make

a tray that is x in. high. Write and simplify a function for the volume

V of the tray in terms of x.

HELP

Answers

Answer 1

Answer:

V(x) = 4x³ - 50x² + 150

Step-by-step explanation:

Initial area is 10 in x 15 in.

After cutting the corners and folding, the remaining dimensions are:

Length, l = 15 - 2xWidth, w = 10 - 2xHeight, h = x

The volume of the tray is:

V = lwhV(x) = (15 - 2x)(10 - 2x)x = 4x³ - 50x² + 150

Related Questions

can somebody please help me

Answers

The answer would be B

If you distribute -2(x-4) you would do -2 times X which would get you to -2x and you would do -2 times -4 which would be positive 8 so -2x+8
The correct choice is C




Sorry is this is wrong!!

What is the inverse of the function f(x)=-4x+2

Answers

Answer:

The inverse of f is [tex]f^{-1}[/tex] =  (x -2)/4  

Step-by-step explanation:

To find the inverse of f(x) = 4x + 2 , interchange the variables and solve for y.

   Rewrite f(x) = 4x + 2  as  x = 4y + 2  then solve for y

                                             x -2 = 4y

                                           (x - 2)/4 = y  

IVE BEEN WORKING ON THIS ALL DAY


Two arithmetic sequences A and B both begin with 30. Sequence A has common difference 9 and sequence B has common difference 4. What is the difference between the 51st term of A and the 51st term of B?

Answers

The n-th term of an arithmetic sequence with first term a and common difference d is

a + (n - 1) d

So, the 51st term of A is

30 + 9 (51 - 1) = 480

while the 51st term of B is

30 + 4 (51 - 1) = 230

The difference between them 480 - 230 = 250.

No one i don't know use this

Answers

Answer:

Lol

Step-by-step explanation:

Why did you put your school email in this? lol

Solve this equation for the indicated variable.5b + 12c=9 for b

Answers

Answer:

b = (9 - 12c)/5 OR b = 9/5 - 12c/5

Step-by-step explanation:

5b + 12c = 9

Subtract 12c from both sides.

5b = 9 - 12c

Divide both sides by 5.

b = (9 - 12c)/5.

Function or not a Function​

Answers

Answer:

Function; Not a function

Step-by-step explanation:

Write the ordered pair in the first set (x, y):     (1, 11), (2, 7) , (3, 2)

Write the ordered pair in the second set (x, y):     (1, 3), (1, 4),  (2, 4) , (3, 2)

The first set in a function because no ordered pair has the same x value.

The second set in not a function because the x value is the same in two of the ordered pairs.

In all but the worst weather, Sarah and three coworkers meet each day at 4:45 to walk the river trail behind their office building. The four coworkers are an example of a(n)

Answers

The coworkers meet each day after the official work hours, then they are an example of an informal group. An informal group is a group made up of people to discuss non-official matters.

The two major types of groups relating to official function are formal and informal. Formal groups are groups formed by the management for a specific or official purpose. This type of groups discuss official matters and issues, and probably are dissolved after achieving the purpose of forming the group.

Informal groups are groups formed by a set of workers( which may sometimes include an external person) formed to discuss non-official maters. The members meet at the non-official hours to deliberate, gist or discuss personal and other relating issues.

Therefore, the four coworkers mentioned in the given question are an example of an informal group.

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What is the area of a rectangle with vertices at ​(0, −4)​, ​(−1, −3)​ , (2, 0), and (3, −1)? Enter your answer in the box. units²

Answers

Answer:

12

Step-by-step explanation:

Answer:

Area of the rectangle is [tex]6u^{2}[/tex]

How to find area of rectangle if the vertices are given:

Let the vertices be or the given vertices:

A [0,-4]

B [-1,-3]

C [2,0]

D [3,-1]

Area of rectangle is twice the area of triangle, i.e. if the area of rectangle is ABCD and area of triangle is ABC.

Area of triangle is given by determinant:

Area of triangle = 1/2 [x1, y1]

                              1/2 [x2, y2]

                              1/2 [x3, y3]

                              1/2 [x4,y4]

Putting all the values in this format we  will get :

Area of triangle = 1/2 [0×-4]

                              [-1×-3]

                               [2×0]

Because we have assume 0 as x1 and -4 as y2

-1 as x2 and -3 as y2

2 as x3 and 0 as y3

By solving that equation we will get:

1/2[ −4 0 1]

[−3,1,1]

[0,−2,1]

=1/2(−4⋅(1⋅1+1⋅2)−0+1⋅(6−0))

=1/2|-6|= [tex]3u^{2}[/tex]

= -3=[tex]3u^{2}[/tex]

= [tex]6u^{2}[/tex]

In a two-dimensional plane, a triangle's area is the space it encloses. Known for having three sides and three vertices, a triangle is a closed shape. The sum of the spaces occupied by a triangle's three sides is known as its area. Half of the product of a triangle's base and height is the usual formula for calculating its area.The area that is included within the perimeter of a flat object or figure is generally considered to be the definition of the word "area." The square units used for measuring are square meters as the standard unit (m2). There are already established formulas for calculating the area of squares, rectangles, circles, triangles, etc.

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PLEASE HELP ME OUT!!

Answers

Answer:

Hello!

Judging by the question you have provided I have come up with the correct solution:

y=25x+175

Step-by-step explanation:

The way I came up with the solution is by understanding how to write the correct equation using the correct variables in the correct places.

In the equation y=mx+b, the variable "b" will always be an independent variable.

The independent variable of Candace equation is "175 gallons". This is because this amount does not change throughout the entire equation.

Next, the variable "m" will always be a dependent variable.

The dependent variable of the Candace equation is "25 gallons". This is because this variable is effected by "x amount of hours".

So when you input these given variables in the correct places you get:

y=25x+175

154= -4(8 + 6x) + 24x

Answers

154=-32-24x+24
154+32-24=-24x
162=-24x
162/-24=-24x/-24
X=-6.75

Please help ... need help

Answers

Answer:

c maybe

Step-by-step explanation:

Trevor found that a circle has a circumference of 15 ft. What is the diameter & radius of the circle? Write & solve an equation. Leave your answer as a decimal.

Answers

Answer: R = 2.38732415 D = 4.7746482927568605

1. Cheryl is planning to spend $15 on a Christmas gift for her father. He needs new socks and ties. A store has socks on sale for $3 and ties for $5. Write an equation in standard form that
represents this situation.

Answers

Answer:

4 dollars in total

Step-by-step explanation:

its 75 after the spend

Which rule explains why these scalene triangles are similar?

A. SSS
B. SAS
C. AA
D. None of the above; the triangles cannot be proven similar

Answers

Answer:

D.  none of the above

Step-by-step explanation:

no side lengths given

no angles are the same in both triangles

A) SSS BECUAE explosion why there scalene triangle are similar

2.draw the following lines and then write an equation for each. a.slope is 0, y-intercept is 5. b. slope is 2, y-intercept is -1. c. slope is -2, y-intercept is 1.

Answers

Answer:

. bd s solicitarlo

Step-by-step explanation:

.

supuestamente

What is 184.24 to 4 significant figures

Answers

184.2 is the answer to 4 significant figure

You used 5 cups of flour to bake 80 cookies. How many cups of flour do you need if you bake 144 cookies?

Answers

Answer:

9 cups

Step-by-step explanation:

We can write a ratio to solve

5 cups                     x cups

------------            = ----------------

80 cookies            144 cookies

Using cross products

5 * 144 = 80x

720 = 80x

Divide by 80

720/80 = 80x/80

9=x

Answer:

7 1/5 cups of flour to mae 144 cookies

Step-by-step explanation:

80/5 = 20 cookies per cup of flour

so 20x7 = 140 and then you still need four more so take the four and another cup of flour and divide the 20 by 4 then you get 5 thus you 7 and 1/5ths cups

10X10
yesssssssssssssssss

Answers

Answer:

100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

A 4-card poker hand is dealt at random from a standard 52-card deck. What is the total number of possible hands

Answers

Answer:

Step-by-step explanation:

The first choice is 1 out of 52

The second choice is 1 out of 51 because 1 card went with the first choice

The third is 1 out of 50

The fourth is 1 out of 49

Number of hands = 52*51*50*49

Number of hands = 6497400

Help!
I do not understand a single thing lol I’m sorry<3

Answers

= 8

step-by-step explanation:

evaluate

-8c⁴ d +4c² + 16c - 2d

when c =-1 ,d=4

=8

hope it helps!

#carry on learning

[tex] {4c}^{2} d {}^{2} - 8c {}^{4} d + 16c - 2d \\ the \: value \: of \: c = - 1 \\ the \: value \: of \: d \: = 4 \\ 4 \times {( - 1)}^{2} \times {4}^{2} - 8 \times {( - 1)}^{4} \times 4 + 16 \times ( - 1) - 2 \times 4 \\ 4 \times 16 - 8 \times 4 - 16 - 8 \\ 64 - 32 - 16 - 8 \\ 8[/tex]

Sorry if I am incorrect.....

Divide 320 into 8 equal groups

Answers

Answer:

320 divided by 8 is 40. 40 times 8 is 320, so it works backwards.

When dividing 320 into 8 equal groups, each group would contain 40.

We have to divide 320 into 8 equal groups.

Performing the division as

            8 | 320 | 40

                  320

             -_______

                  0

So, 320 ÷ 8 = 40

Therefore, when dividing 320 into 8 equal groups, each group would contain 40.

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Which of the following equations has the same solutions as the equation 3x+2y=-12? Check all that apply.

Answers

3x+2y=-12
3x+2y+ 12=-12+12
-12+12=0
The answer is 0

how do I solve this? 4-0,9+(-0,11)-(-1,3)

Answers

Answer:

Hope it will help a lot ask for more info

I tried to solve it but I still don't get it

Answers

Answer:

x^3 - 4x^2 - 6x + 3

Step-by-step explanation:

Divide using polynomial division.

3x + 2y= 16
2x - 3y= 2

Answers

Answer:

x=4 and y=2

Step-by-step explanation:

The answer to this question is X:4

helppppppppppppppppp meeeeeeeee

Answers

Answer:

WHEN THE BIRDS FLYING IN THE FIRE COZ THE MOON IS RECTANGLE I LIKE COLOR YELLOW COZ MY POP IS CIRCLE

I know the answer to the question but what is 45292062 + 64829162629 + 123146 =

Answers

Answer:

64874577837

Step-by-step explanation:

you simply add the numbers

45292062 + 64829162629 + 123146 =

64874454691 +123146

64874577837

What is the surface area of a cuboid?​

Answers

As the cuboid has six rectangular faces, the total surface area of the cuboid is calculated as follows: Assume that, l, w, h be the length, width, and height of the cuboid respectively. Therefore, the total surface area of the cuboid is 2 (lh + lw+ hw) square units.

The graph below shows the height through which an elevator travels, y, in x seconds:

What is the rate of change for the relationship represented in the graph?

1 over 15
1 over 14
14
15

Answers

The answer will be 1 over 15

If you put $6.57 into a savings account that earns 6%, how much interests
will you receive at the end of seven years?

Answers

Answer:

817.51

Step-by-step explanation:

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