Find the measure of A
Options
-14
63
96
44
I need help ASAP

Answer:

The polynomial function for the volume of the box ([tex]V[/tex]) in terms of [tex]x[/tex] is

[tex]V(x)= 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex].

Step-by-step explanation:

We present a representation of the specifications of the open box in a image attached below. The volume of the open box ([tex]V[/tex]), measured in cubic inches, is represented by this expression:

[tex]V = w\cdot h \cdot l[/tex]

Where:

[tex]w[/tex] - Width, measured in inches.

[tex]h[/tex] - Height, measured in inches.

[tex]l[/tex] - Length, measured in inches.

Polynomial functions in standard form are represented by the following form:

[tex]y = \Sigma_{i=0}^{n} c_{i}\cdot x^{i}[/tex]

Where:

[tex]n[/tex] - Order of the polynomial, dimensionless.

[tex]c_{i}[/tex] - i-th Coefficient, dimensionless.

[tex]x[/tex] - Indepedent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.  

If we get from figure that [tex]w = 12 - 2\cdot x[/tex], [tex]h = x[/tex] and [tex]l = 9 - 2\cdot x[/tex], then:

[tex]V = (12-2\cdot x) \cdot x \cdot (9-2\cdot x)[/tex]

[tex]V = (12\cdot x -2\cdot x^{2})\cdot (9-2\cdot x)[/tex]

[tex]V = 108\cdot x-18\cdot x^{2}-24\cdot x^{2}+4\cdot x^{3}[/tex]

[tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex]

The polynomial function for the volume of the box ([tex]V[/tex]) in terms of [tex]x[/tex] is

[tex]V(x)= 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex].

The volume of a box is the amount of space the box can occupy.

The polynomial function is: [tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]

The dimension of the cardboard is given as:

[tex]\mathbf{Length = 12}[/tex]

[tex]\mathbf{Width = 9}[/tex]

Assume the size removed from the box is x

The dimension of the box becomes

[tex]\mathbf{Length = 12 -2x}[/tex]

[tex]\mathbf{Width = 9 -2x}[/tex]

[tex]\mathbf{Height = x}[/tex]

So, the volume (V) of the box is:

[tex]\mathbf{V = Length \times Width \times Height}[/tex]

Substitute known values

[tex]\mathbf{V = (12 -2x) \times (9 - 2x) \times x}[/tex]

Open brackets

[tex]\mathbf{V = (12 -2x) \times (9x - 2x^2)}[/tex]

Open brackets

[tex]\mathbf{V = 108x -24x^2 - 18x^2 + 4x^3}[/tex]

[tex]\mathbf{V = 108x -42x^2 + 4x^3}[/tex]

Rewrite as:

[tex]\mathbf{V = 4x^3 -42x^2 + 108x }[/tex]

Express as a function

[tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]

Hence, the polynomial function is:

[tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]

Read more about volumes and functions at:

https://brainly.com/question/1758167

Answer:

ok hold on lemme go get something then ill edit my answer

Step-by-step explanation:

Answer:

A. The answer is 7.4x10^3

Answer:

A. The answer is 7.4x10^3

Step-by-step explanation:

The difference between the highest and lowest temperature is 85°F.

Answer: 139F

Step-by-step explanation: You take 112F, and add negative which is -27F and you get the difference.

Answer:

15

Step-by-step explanation

We divide the amount he's selling them for, by the amount of money he needs to make.

75 divided by 5 equals 15.

He needs to sell 15 sports drinks to make $75.

Answer:

25

Step-by-step explanation:

75:(5-2)=25

and to check it

2×25=50

25×5=125

profit = 125-50

profit=75

answer is 25

Answer:

Step-by-step explanation:

Perimeter is all sides added together...

X+3+2x-1+3x+4

Combine like terms

X+2x+3x.. 6x

3-1+4.. 2+4.. 6

Answer:

6x+6

Answer:

60 percent

Step-by-step explanation:

so 50 is half of 100,right? so that means you can just multiply everything by 2 to make it easier. so then there are 100 students and 40 play basket ball. so that means 40 percent play basketball and that only leaves 60 remaining :)

Answer:

Step-by-step explanation:

if two functions are squeezed together at a particular point , then any function trapped between them will get squeezed to that point. the squeeze theorem deals with limit value , rather than function value. the squeeze theorem sometimes called Pinch Theorem.

Answer:

Hey There!

5.2 divided by 0.8 IS 6.5!

Step-by-step explanation:

This means that 0.8 goes into the number exactly 6.5 times...

I HOPE THIS HELPS!!

The solutions for the the system of equations are given as x = 1 and  y = 2 respectively.

A system of linear equations is a group of equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

The given system of linear equations are as follows,

12x - 7y = -2          (1)

8x + 11y = 30​         (2)

In order to solve by elimination, multiply equation (1) by 2 and (2) by 3 and then subtract to obtain,

2(12x - 7y) - 3(8x + 11y) = 2 × -2 - 3 × 30  

=> -14y - 33y = -94

=> -47y = -94

=> y = 2

Substitute y = 2 in equation (1) to get,

12x - 7 × 2 = -2  

=> 12x = -2 + 14

=> x = 12/12 = 1

Hence, the given system of linear equations is solved by elimination to give x = 1 and  y = 2 respectively.

To know more about system of equations click on,

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#SPJ2

Answer:

I got 2.3

Step-by-step explanation:

line them up in order and count from the outside

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2.3}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \tt{ \: Given \: data}}[/tex] :

[tex] \sf{2.5 \: , \: 2.3 \: , \: 2.3 \: , \: 1.8 \: , \: 2.3 \: , \: 1.5}[/tex]

[tex] \star{ \sf{ \: Arranging \: the \: given \: data \: in \: ascending \: order}}[/tex] :

[tex] \sf{1.5 \: , \: 1.8 \: , \: 2.3 \: , \: 2.3 \: , \: 2.3 \: , \: 2.5}[/tex]

[tex] \star{ \sf{ \: n \: ( \: Total \: number \: of \: observation \: ) \: = \: 6}}[/tex]

Finding the position of median

[tex] \bold{ \boxed{ \sf{ \: Position \: of \: median = ( \frac{n + 1}{2} ) ^{th} item}}}[/tex]

[tex] \longmapsto{ \sf{position \: of \: median = ( \frac{6 + 1}{2} ) ^{th} item}}[/tex]

[tex] \longmapsto{ \sf{position \: of \: median \: = \: ( \frac{7}{2} ) ^{th} item}}[/tex]

[tex] \longmapsto {\sf{position \: of \: median = {3.5}^{th} item}}[/tex]

[tex] \sf{ {3.5}^{th} }[/tex] item is the average of 3rd and 4th items.

[tex] \sf{∴Median = \frac{ {3}^{rd} item + {4}^{th} item}{2} }[/tex]

[tex] \longmapsto{ \sf{median = \frac{2.3 + 2.3}{2}}} [/tex]

[tex] \longmapsto{ \sf{median = \frac{4.6}{2} }}[/tex]

[tex] \longmapsto{ \sf{median = 2.3}}[/tex]

∴ Median = 2.3

-------------------------------------------------------------

[tex] \star \: \underline{ \tt{Remember ! }}[/tex]

▪️If n is odd , the median is the value of the [tex] \sf{( \frac{n + 1}{2} ) ^{th} }[/tex] observation.

▪️If n is even, the median is the average of [tex] \sf{( \frac{n}{2} ) ^{th}} [/tex] and [tex] \sf{( \frac{n}{2} + 1) ^{th} }[/tex] observation.

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

a does because 5-3= 2 net force to the right and b would total out to 1 to the right

Step-by-step explanation:

Answer:

your face

Step-by-step explanation:

:)

Let's let A, B, C represent the sides of the triangle from shortest to longest, then:

A = ?

B = A + 2

C = A + 3

To find the perimeter we add all the sides p = A + B + C, and based on the problem

p = A + B + C

26  = A + (A + 2) + (A+3)

26 = 3A + 5

21 = 3A

7 = A

Now we can use the fact that A = 7 in, which is the shortest side, to find all three sides:

A = 7

B = 7 + 2 = 9

C = 7 + 3 = 10

The lengths  of the sides are 7 in, 9 in, and 10 in.

May I get brainliest please? :)

Answer:

Step-by-step explanation:

only 7.630 round to 7.6

The solution set is r = (+4, -4) .

Answer: 59/125

Step-by-step explanation:

What is 47.2% as a fraction or mixed number in simplest form? 47.2% is 47.2/100 which is 472/1000 which is 59/125. 47.2% = 0.472 = 472/1000 = 59/125.

Answer:

work is pictured and shown

Answer:

$885.01

Step-by-step explanation:

Answer:

$885.51

Step-by-step explanation:

$835.50-$13.29= $822.21

-The first step is to subtract the deduction. Deduction always means subtract.

$822.21+$34.35= $856.56

-Once you get the new total by subtracting the deduction, you have to add the bonus. Bonus always means add.

$856.56+$28.95= $885.51

-Finally, when you work overtime at a job, your employer is required by law to pay you extra. Add the overtime and get the final total of $885.51.

Answer:

7a²b²(a + b)

Step-by-step explanation:

(a+b) (7a²2b²)

apply the exponential rule:

= 7(a + b) (ab)²

= 7a²b²(a + b)

Angle LMN

Angle NML

Angle M

These are the only ways to name this angle

Answer:

Angle NML, LMN, and the angle created by rays MN and ML intersecting at point M.

Step-by-step explanation:

The first two ways are just the points in order. The third can be written in multiple ways but I believe this one is quite explanatory.

Answer:

m=3

Step-by-step explanation:

slope=m=y2-y1/x2-x1

(29,97),(18,64) for given points

m=64-97/18-29 ⇒ m=-33/-11

m=3

b): 97/29 ,64/18,-14/-8, 52/14,-71/-27

m=-14-64/-8-18

m=-78/-26

m=52+14/14+8

m=66/22

Answer:

(2,2), (4,4), (6,6)

Step-by-step explanation:

2×1= 2

2×2 = 4

2×3 = 6

Answer:

2nd and 4th options are correct choices.

Step-by-step explanation:

From the incomplete picture given below, we have:

2nd = (2,2), (4,4), (6,6)

4th = (4,1), (8,2), (12,3)

Enjoy!

Answer:

i think its c

Step-by-step explanation:

I think thats its C because 75 is the lowest it can go.

Lets subtract 3 from each term we get 0,6...

Now we have muplitles of 6

6*0

6*1

Now we can find last number whcich is 6*33=198

now use formula to find sum

Answer:

2.39

Step-by-step explanation:

-3.09+X=-0.7

X=-0.7+3.09

X=2.39