Answer:

**Answer:**

-18

**Step-by-step explanation:**

HELP PLEASE 20points!!!At a high school, 9th and 10th graders were asked whether they would preferrobotics or art as an elective. The results are shown in the relative frequencytable.

I just need number 1

Find the radius and height of a cylindrical soda can with a volume of 256cm^3 that minimize the surface area.B: Compare your answer in part A to a real soda can, which has a volume of 256cm^3, a radius of 2.8 cm, and a height of 10.7 cm, to conclude that real soda cans do not seem to have an optimal design. Then use the fact that real soda cans have a double thickness in their top and bottom surfaces to find the radius and height that minimizes the surface area of a real can (the surface area of the top and bottom are now twice their values in part A.B: New radius=?New height=?

1. Trapezoid BEAR has a height of 8.5 centimeters and parallel bases that measure 6.5 centimeters and 11.5 centimeters. To the nearest square centimeter, find the area of the trapezoid.Area of trapezoid BEAR = ___________ square centimeters 2. Regular pentagon PENTA has side lengths that are 9 meters long. To the nearest square meter, find the area of the pentagon.Area of pentagon PENTA = _____square centimeter

I want you to help me solve the variable equations of questions 3

I just need number 1

Find the radius and height of a cylindrical soda can with a volume of 256cm^3 that minimize the surface area.B: Compare your answer in part A to a real soda can, which has a volume of 256cm^3, a radius of 2.8 cm, and a height of 10.7 cm, to conclude that real soda cans do not seem to have an optimal design. Then use the fact that real soda cans have a double thickness in their top and bottom surfaces to find the radius and height that minimizes the surface area of a real can (the surface area of the top and bottom are now twice their values in part A.B: New radius=?New height=?

1. Trapezoid BEAR has a height of 8.5 centimeters and parallel bases that measure 6.5 centimeters and 11.5 centimeters. To the nearest square centimeter, find the area of the trapezoid.Area of trapezoid BEAR = ___________ square centimeters 2. Regular pentagon PENTA has side lengths that are 9 meters long. To the nearest square meter, find the area of the pentagon.Area of pentagon PENTA = _____square centimeter

I want you to help me solve the variable equations of questions 3

**Answer:**

The three-digit numbers with these properties are 850 or 941.

**Step-by-step explanation:**

Let x be the hundreds digit, y the tens digit, and z the ones digit. The first condition says that . The second condition is:

the original number is while the reversed number is so

Now we have the system

You can divide by 99 to simplify the second equation.

Note that x, y, z must be digits between 0 and 9 and . If , then the second equation forces , for example z=2 so x-2=8, x=10 which is impossible. If z=0, you get x=8, y=5 and the number is 850. If z=1, you get x=9,y=4 and the number is 941.

(2-sin(2x))(sin(x) + cos(x)) = 2(sin^3(x) + cos^3(x))

Bombur’s salary increased by: . dollars

**Answer:**

To find out whose salary increased more in absolute terms, we'll calculate the absolute increase for each person.

For Sneezy:

Initial salary = $2500

Final salary = $4522

Sneezy's salary increased by:

Absolute increase = Final salary - Initial salary

Absolute increase = $4522 - $2500 = $2022

For Bombur:

Initial salary = $4000

Final salary = $6700

Bombur's salary increased by:

Absolute increase = Final salary - Initial salary

Absolute increase = $6700 - $4000 = $2700

Now, comparing the absolute increases:

Sneezy's salary increased by $2022.

Bombur's salary increased by $2700.

So, Bombur's salary increased more in absolute terms.

**Step-by-step explanation:**

**Answer:**

H0: u ≥ 9.5

Ha: u < 9.5

**Step-by-step explanation:**

The null hypothesis and the alternate hypothesis are reverse of each other.

The claim is either set as the null or alternate hypothesis

The null hypothesis is : H0: u ≥ 9.5 the mean breaking strength of a ceramic insulator is at least 9.5 which is considered equivalent to the standard.

The alternate hypothesis is: Ha: u < 9.5 the mean breaking strength of a ceramic insulator is less than 9.5 which is not considered equivalent to the standard.

1 pint = 2 cups

1/2 of a pint = 1 cup

2 + 1 = 3

Hope this helps

3 cups. According to my calculation . You can check google as well.

Sorry it took a long time.

**Answer:**

Thor is the best deal.

**Step-by-step explanation:**

Thor is $10.35, Lemon is $11.73, Patrick is $14.66, and Sarah is $16.63.

For Thor, multiply $1.15(2)=$2.30. Then multiply $1.15(7)=$8.05. Add these together to get $10.35.

For Lemon, multiply 17($1.15)=$19.55. Then subtract by $7.82 to get $11.73.

For Patrick, use the equation we already did 17($1.15) and subtract $4.89 from it to get $14.66.

Last, For Sarah multiply our $19.55 (.15) to find 15% and get 2.934. Then subtract $19.56 - 2.934 to get $16.626. Round to $16.63.

Hope this helped!

**Answer:**

Sarah's Store

**Step-by-step explanation:**