please help!!!!!!!!!!!!!!!!

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.

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Ay, this is the solution:

We will use the Pythagorean theorem, this way:

• Hypotenuse = 38

• Leg 1 = 35

• Leg 2 = x

x² = 38² - 35²

x² = 1,444 - 1,225

x² = 219

√x² = √219

x = 14.8 (Rouding to the next tenth)

The length of the shadow is 14.8 meters

Answer:

Booker:  $103.50 profit

Finley:  $34.50 profit

Step-by-step explanation:

b = # of candles Booker sold

f = # of candles Finley sold

1)  b = 3f

2) f = b - 12    substitute b=3f into this equation to get an expression all in terms of f, then solve for f

f = 3f - 12

-2f = -12

f = -12/2 = 6    now plug this into either equation and solve for b

b = 3(6) = 18

Booker:  18 candles x $5.75 profit/candle = $103.50 profit

Finley:  6 candles x $5.75 profit/candle = $34.50 profit

If his beard  was 8 millimeter long and each passing week it grew 2 additional millimeters, the graph that represents the relationship between the length of his beard in millimeter and time in week has been plotted

The initial length of the beard = 8 millimeter

The length of beard grow in each week = 2 millimeter

Consider the number of week as x

Therefore the linear relationship will be

The length of the beard y = 2x + 8

Plot the graph using the equation

Hence, If his beard  was 8 millimeter long and each passing week it grew 2 additional millimeters, the graph that represents the relationship between the length of his beard in millimeter and time in week has been plotted

The complete question is

Rip van Winkle fell asleep for a very long time. When he fell asleep, his beard was 8 millimeters long, and each passing week it grew 2additional millimeters.

Graph the relationship between the length of Rip van Winkle's beard (in millimeters) and time (in weeks).

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Answer:

Max

Step-by-step explanation:

the function given that h = -16t³+64t+10

the general function Equation:

h = at²+bt+c

=> t at the highest point is defined by t = -b/2a

= -64/2(-16) = -64/-32 = 2 second

the total times that the ball hits the ground

= 2× 2 seconds = 4 seconds.

so, Max is right

Answer:

Solution given:

Let h=0=when the ball hit the ground,the height=0.

h= -16t^2 + 64t + 10.

0=16t²-64t-10

8t²-32t-5=0

∆=\( \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}\)

taking positive

t1=\( \frac{8+\sqrt{74}}{4}=4.15seconds\)

t2=\( \frac{8-\sqrt{74}}{4}(t2<O)(neglected)\)

So

t=4.15seconds closer to 4seconds.So

Max is closer.

The probability that a student who had a dog also had a cat would be = 7/25.

To calculate the possible outcome of the given event, the formula for probability should be used and it's given below as follows. That is;

Probability = possible outcome/sample space

possible outcome = 7

sample space = 7+2+3+13 = 25

Probability = 7/25

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The fourth step of the risk assessment process is to determine current level of preparedness/mitigation.

The correct option is C.

A risk assessment is a procedure for identifying potential dangers and analyzing what might happen if one happens. A business impact analysis (BIA) is a procedure that determines the probable consequences of interrupting time-sensitive or important business processes. There are various potential hazards to be mindful of.

The ultimate goal of risk assessments is to improve workplace safety and health. However, to order to accomplish this, your risk assessment process must identify occupational hazards and eliminate or reduce the risks they represent.

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\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

Considering the data:

Dilation by a scale factor of 4 from the origin in the form of an A'B'C' reflection over x = 1

<=> The two triangles are comparable to one another since triangles can have the same shape but differ in size, so A′′B′′C′′ is 4 times larger than ABC.

=> the connection between "ABC" and "A"B"C" .

\(\frac{AB}{A"B"} = \frac{1}{4}\)

We settle on C.

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

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Answer:

21 sq. meters

Step-by-step explanation:

you just need to multiply the width and the height, so 3x7.

3x7=21

Answer: 21m^2

Step-by-step explanation:

The equation finds the area of a rectangle is

Area= Width times Height

So take 7 times 3 = 21 m^2

\(answer \\ w = \frac{ {8x}^{2} - 2y }{y} \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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12 People plan to visit the art museum only.

What is Set Theory?

We study sets and their characteristics in the area of mathematical logic known as set theory. A set is a collection of things or a group of things. These things are frequently referred to as elements or members of a set. A set is, for instance, a group of cricket players. A set is a clearly defined collection of things or people, as we already learnt in the introduction. Numerous examples from everyday life, such as the number of rivers in India and the colors in a rainbow, can be used to relate sets.

Given,

Total no of people =116

No of people visiting any of the three places = total - people visiting none of the places

= 116 -14 = 102

No of people visiting only Gateway arch = total people visiting gateway arch - (people visiting all the three +  people visiting Gateway ans museum butnot zoo +people visiting gateway and zoo butnot museum)

= 66 - (18+9+14) = 25

Similarly, people visiting only zoo = 14

Total no of people plan to visit Art Museum only = 102 - (25+14+9+18+10+14) = 112

12 People plan to visit the art museum only.

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The margin of error is approximately $18.35, and the 99% confidence interval for the population mean repair cost is ($56.65, $93.35). This means we are 99% confident that the true population mean repair cost falls within this interval.

To calculate the margin of error, we use the formula: Margin of Error = t × (standard deviation / √n), where t is the critical value for the desired confidence level, standard deviation is the sample standard deviation, and n is the sample size.

With a sample mean repair cost of $75.00 and a standard deviation of $11.50, and a sample size of 6, we need to determine the critical value associated with a 99% confidence level. Since the sample size is small (n < 30), we use a t-distribution instead of a z-distribution.

Using the t-distribution with (n-1) degrees of freedom, where n is the sample size, and a confidence level of 99%, we find the critical value to be approximately 3.707.

Next, we calculate the margin of error: Margin of Error = 3.707 × (11.50 / √6) ≈ 18.35.

To construct the 99% confidence interval, we take the sample mean and add/subtract the margin of error: 75.00 ± 18.35. This gives us a confidence interval of approximately (56.65, 93.35).

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Answer

the answer is 13

Step-by-step explanation:

not 21, bro that one guy .. djxhfgbes

Answer:

D

Step-by-step explanation:

I looked at the picture️

Answer:

17.yes by angle angle angle axiom.

C. AA~ Postulate

triangle TER~traingle GSR

Answer:

hope this helps

Step-by-step explanation:

Answer:

you have to graph it urself, but what you have to do is but the starting point at -3, and go down 3 on the y-axis, and up 2 on the x-axis. you can also go up 3 on the x-axis, and 2 down on the y-axis. i hope this explained it and helped you :)

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

y = k * (3x - 5)

Where,

k = constant of proportionality

y = 33 when x = 5

y = k * (3x - 5)

33 = k * (3 * 5 - 5)

33 = k * (15 - 5)

33 = 15k - 5k

33 = 10k

k = 33/10

k = 3.3

a) y when x = 2

y = k * (3x - 5)

y = 3.3(3 * 2 - 5)

= 3.3(6 - 5)

= 3.3(1)

y = 3.3

b) x when y = 15​

y = k * (3x - 5)

15 = 3.3(3x - 5)

15 = 9.9x - 16.5

15 + 16.5 = 9.9x

31.5 = 9.9x

x = 31.5/9.9

x = 3.18

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of the wall is the sum of the areas of the different sections of the wall. The cost to paint it will be the product of the cost of a tin of paint and the number of tins required.

__

Here, the shape of the wall can be divided into two trapezoids and a rectangle. Each shape has a corresponding area formula. Left-to-right, their areas are ...

Left Trapezoid

  A = 1/2(b1 +b2)h

  A = 1/2(10 m +11 m)(4 m) = 42 m²

Middle Rectangle

  A = LW

  A = (13 m)(11 m) = 143 m²

Right Trapezoid

  A = 1/2(b1 +b2)h

  A = 1/2(11 m +8 m)(10 m) = 95 m²

Wall Area

The total area to be painted is the sum of the above areas:

  total area = 42 m² +143 m² +95 m² = 280 m²

The area that needs to be painted is 280 m².

__

A tin of paint covers 15 m², so the number of tins needed is ...

  (15 m²)t = 280 m²

  t = 280/15 = 18 2/3 . . . . . . divide by the coefficient of t

We can only buy whole tins, so we need to buy 19 tins. Their cost will be ...

  (£7 /tin)(19 tins) = £133

It will cost £133 to paint the wall.

Answer:

I feel like all of them are wrong, but C. is the one that's closes to being right.

Step-by-step explanation:

As you see, C is the closest to the answer.

x=1 y=2 z=3

So...

1+2=3

2-3=1

^

Is that right?

No, but that one is the only error, the other equations also have errors.

So if there's a button that says none of the above, pick that.

Hope this helped! :)

The value of a car that depreciates over time can be modeled by the function \(J(t)=27000(0.9)^{2t+2}\) has an equivalent form of \(J(t) = 21870(0.81)^t\).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

The value of the car is given as:

\(J(t)=27000(0.9)^{2t+2}\)

The equation can be written as:

\(J(t)=27000(0.9)^{2t} (0.9)^2\\\\J(t) = 27000(0.81)^t(0.81)\\\\J(t) = 21870(0.81)^t\)

Hence, the value of a car that depreciates over time can be modeled by the function \(J(t)=27000(0.9)^{2t+2}\) has an equivalent form of \(J(t) = 21870(0.81)^t\).

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Answer:

76

Step-by-step explanation:

(8)²+12=76

Answer:

76

Step-by-step explanation:

Given,

g(x) = \(x^{2} +12\)

Now,

g(8)\(=8^{2} +12\)

     =64 + 12

     = 76

Answer:

- 3 1/4, -2 5/8, -4 1/2

Answer:

C. 120°

Step-by-step explanation:

\(m \angle \: 2 = m \angle 6 \\ (corresponding \: \angle s) \\ \\ \because \: m \angle 6 = 120 \degree \\ ...(given)\\ \\ \red{ \bold{\therefore \: m \angle 2 = 120 \degree }}\)

You have not provided the contents of any of the drop-down menus, so we cannot say for certain what the answers should be--except in the case of "infinitely many solutions.

2x + 9 + 3x + x = 6x

2x + 9 + 3x + x = 15

2x + 9 + 3x + x = 6x + 9

Based on the given conditions,

(1) No solutions :

There will be no solutions when the left side is inconsistent with the right side:

2x + 9 + 3x + x =  _ x + _

We can sum of difference,

6x + 9 = 6x

Subtract 6x from both sides,

6x - 6x = -9

9 = 0

9 = 0 which is absurd and hence the equation has no solution.

(2) One solutions :

There will be one solution when the left side and right side are not inconsistent and not the same.

2x + 9 + 3x + x = 15

6x + 9 = 15

Subtract 9 from both sides.

6x = 6

Divide both sides by 6.

x = 1 and this is the only solution.

(3) Infinity solutions :

There will be an infinite number of solutions when the equation is true for any value of x. This will be the case when the left side and right side are identical.

2x + 9 + 3x + x = 6x + 9

6x + 9 = 6x + 9

Subtract 6x from both sides,

9 = 9, both sides are balanced which means, the equation has infinitely many solutions.

Therefore,

2x + 9 + 3x + x = 6x

2x + 9 + 3x + x = 15

2x + 9 + 3x + x = 6x + 9

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