Please help me first person will get brainliest!!

Answer: The percent change of the bag is 15%.

a.

The volume of the box V = 4x³ - 72x² + 324x

Since the dimensions of the square piece of paper are 18 inches each, and we cut out a length x from each side to give a total length of 2x cut from each side. So, each dimension is L = 18 - 2x.

Since the height of the open box is x and its base is a square, the volume of the open box ix V = L²x

= (18 - 2x)²x

= (324 - 72x + 4x²)x

= 324x - 72x² + 4x³

The volume of the box V = 4x³ - 72x² + 324x

b.

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

Since the volume of the box is 432 cubic inches,

V = 324x - 72x² + 4x³

324x - 72x² + 4x³ = 432

4x³  - 72x² + 324x - 432 = 0

x³  - 18x² + 81x - 108 = 0

A factor of the expression is x - 3

So, x³  - 18x² + 81x - 108 ÷ x - 3 = x² - 15x + 36

So,  x³  - 18x² + 81x - 108 = (x² - 15x + 36)(x - 3) = 0

Factorizing the expression x² - 15x + 36 = 0

x² - 3x - 12x + 36 = 0

x(x - 3) - 12(x - 3) = 0

(x - 3)(x - 12) = 0

So,  x³  - 18x² + 81x - 108 = (x - 3)(x - 3)(x - 12) = 0

So, (x - 3)²(x - 12) = 0

(x - 3)² = 0 and (x - 12) = 0

x - 3 = √0 and x - 12 = 0

x - 3 = 0 and x - 12 = 0

x = 3 twice and x = 12

Since x = 3 is the minimum value, the minimum value of x = 3.

Since the length of the box, L = 18 - 2x

= 18 - 2(3)

= 18 - 6

= 12 inches

The width of the box = L = 12 inches

The height of the box = x = 3 inches.

So,

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

Learn more about volume of a box here:

https://brainly.com/question/13309609

Answer:

97, 98

Step-by-step explanation:

a = first number

a + 1 = consecutive number

then:

a + a+1 = 195

2a + 1 = 195

2a = 195 - 1

2a = 194

a = 194/2

a = 97

a + 1 = 98

Check:

97 + 98 = 195

Answer:

x = y + z

=> z = y - x

Step-by-step explanation:

Hope u understand

Answer:

hese prime numbers are 2,3,5,7,11,13,17. To find the prime factorisation of 24, check if 2 divides into 24. It does, because 24=12*2

Step-by-step explanation:

Answer:

-320; 303

Step-by-step explanation:

Well... you could really just use a calculator to do this, I mean?

124 - 444 = -320

345 - (-7)*(-6) = 345 - 42 = 303

Answer:

1) 320

2) 303

Step-by-step explanation:

1) simple Subtraction

2) first multiply -7 & -6 = 42

then 345-42 = 303

Answer:

15 dollars

Step-by-step explanation:

because f it 9 3/4 and it 5 dollars for every 3 1/4  its like multiplying 3 to 3 1/4 so 15 dollars  :(:

Answer: 1.50

Step-by-step explanation:

The sum of a number f and 9 is equal to 38. Write an equation to represent this situation.

Kim rented skates for h hours. The rental fee was $2 per hour. She paid a total of $8. Write an equation to represent this situation.  

The denominator of a fraction exceeds the numerator by 5. If 3 be added to both, the fraction becomes 3/4. Write an equation to represent this situation.  

John is paid $8 more than the number of bags of peanuts he sells at the baseball stadium. The table given below shows the relationship between the money John earns and the number of bags of peanuts John sells. Identify the independent and dependent variables, and write an equation to represent  this situation.

A taxi charges a flat rate of $3, plus an additional $1.50 per mile. Write an equation to represent this situation.  

I had gotten 52.48

thats what I used to figure out the answer

Answer:

  35/132

Step-by-step explanation:

The probability of selecting a boy for president is 7/12, the ratio of the number of boys to the number of candidates. Then the probability of selecting a girl for vice president is 5/11, the ratio of the number of girls to the remaining number of candidates. The joint probability is ...

  (7/12)(5/11) = 35/132 . . . P(b=P&g=VP)

__

We can also look at this another way.

The number of ways two candidates can be selected from 12 is 12P2 = 132. The number of ways that the first can be a boy and the second can be a girl is (7)(5) = 35. Then the probability of a (BG) pair from the 12 candidates is 35/132.

_____

Additional comment

These numbers assume that selection is random and all possibilities are equally-likely. That is unlikely to be the case in an election.

Answer:

[tex]\displaystyle [9, 4\frac{1}{2}][/tex]

Step-by-step explanation:

I figure these exercises out by numeric association. I see a 3, so I know right away that there might be a 9 somewhere. So, you start by plugging 3 in for [tex]\displaystyle x,[/tex] THEN plug [tex]\displaystyle 1\frac{1}{2}[/tex] in for [tex]\displaystyle y[/tex] sinse there are twise the quantity of [tex]\displaystyle y[/tex] than there are of [tex]\displaystyle x.[/tex] Now, doing so will give you [tex]\displaystyle 24 ≠ 18.[/tex] This tells you to try another pattern, so go with plugging [tex]\displaystyle 4\frac{1}{2}[/tex] in for [tex]\displaystyle y[/tex] and [tex]\displaystyle 9[/tex] in for [tex]\displaystyle x[/tex]. Doing so gives you what you are looking -- [tex]\displaystyle 36 = 36.[/tex] Therefore, the association wourked perfectly. ☑

I am joyous to assist you at any time.

That locked sign defines that both sides are equal.

The equations are

From (1) and (2)

[tex]\\ \rm\Rrightarrow 4y-9=2y[/tex]

[tex]\\ \rm\Rrightarrow 2y=9[/tex]

[tex]\\ \rm\Rrightarrow y=9/2=4.5[/tex]

Put in eq(1)

Hence

Answer:

A = 15u²

Step-by-step explanation:

Area of a Trapezoid Formula:

[tex]\frac{h}{2}*(b_1+b_2)[/tex]

Plug in our values (h = 3, b1 =  7, b2 = 3)

[tex]\frac{3}{2}*(7+3)[/tex]

Now we evaluate

[tex]\frac{3}{2}*(10)[/tex]

[tex]\frac{30}{2} = 15[/tex]

Answer: the answer is B which is $609.50

Step-by-step explanation:

I mean the equation is already set up all there is to do is solve put it in the calculator and you should get $609.50

Answer:

What that other person said

Answer: {f(x)∈R∣f(x)≥0}

Step-by-step explanation: The square root function never produces a negative result. Therefore, for the function f(x)=√x+5 , the domain is {x∈R∣x≥−5} and the range is {f(x)∈R∣f(x)≥0} .

Answer:

Y>0

Step-by-step explanation:

To determine the range of this function, we must first evaluate the domain. The square root function is a nice, neat function as long as the radicand isn’t negative. In this function, the radicand becomes negative after x gets smaller than -5, so the domain of this function is [-5, infinity).

Now that we know the domain, we can calculate the range. Beginning with the left boundary, we can substitute -5 into the function to see what y equals at this x-value. At -5, y equals 0, so the minimum value for the range is 0; with the right boundary, substituting infinity yields infinity, so the range is any number greater than 0.

Answer: -1.9f - 21

Step-by-step explanation:

Combined the like terms.

Correct me if I am incorrect.

Answer:

:(((((((

Step-by-step explanation: sorry i dont know

Answer:

19

Step-by-step explanation:

Answer:

250 dollars

Step-by-step explanation:

2.744

merry christler

Answer:

[tex]x<-4[/tex]

Step-by-step explanation:

[tex]8x-4<-36\\\Add\:}4\mathrm{\:to\:both\:sides}\\8x-4+4<-36+4\\\mathrm{Simplify}\\8x<-32\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{x}:x\\\mathrm{Divide\:the\:numbers:}\:\frac{8}{8}=1\\=x\\Simplify\\\frac{-32}{8} \\[/tex]

Apply the fraction rule

[tex]=-\frac{32}{8}\\Divide\\ \frac{32}{8} = x=-4\\x<-4[/tex]

Answer: The value will increase by one as B increases by one or so on

Step-by-step explanation:

Answer:

It increases

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

y = 3.2

Step-by-step explanation:

8/y = 10/4

10y = 32

y = 32 / 10

y = 3.2

The values of "s" that belongs to the solution set must be less than 28.5

The inequality that represents the statement 4 times "s" less than 112 is expressed as;

Divide both sides of the inequality expression by 4 as shown:

4s/4 < 114/4

s < 114/4

s < 28.5

Hence the values of "s" that belongs to the solution set must be less than 28.5

Learn more on inequalities here: https://brainly.com/question/12371526