2(3 x5-8)-4x2 (8-6+2)


Answer 1



Step-by-step explanation:

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I just need number 1
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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
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A three-digit number has two properties. The tens-digit and the ones-digit add up to 5. If the number is written with the digits in the reverse order, and then subtracted from the original number, the result is 792. Use a system of equations to nd all of the three-digit numbers with these properties



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 y+z=5. The second condition is:

the original number is (100x+10y+z) while the reversed number is (100z+10y+x) so


Now we have the system

y+z=5\n 99x-99z=792

You can divide by 99 to simplify the second equation.

y+z=5\n x-z=8

Note that x, y, z must be digits between 0 and 9 and x\neq 0. If z>1, then the second equation forces x>9, 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.

Prove that:
(2-sin(2x))(sin(x) + cos(x)) = 2(sin^3(x) + cos^3(x))


\text{We use formulas: }\n  \n 1) ~~  (a + b)(a^2 -ab + b^2)   =a^3  + b^3 \n  \n 2)~~ \sin(2x) = 2\sin x \cos x  \n \n  3)~~ 1 =\sin^2(x) + cos^2(x) \n  \n \text{We solve:} \n  \n \Big(2-\sin(2x)\Big)\Big(\sin(x) + \cos(x)\Big) = 2\Big(\sin^3(x) + cos^3(x)\Big) \n  \n \Big(2-2\sin(x)\cos(x)\Big)\Big(\sin(x) + \cos(x)\Big) = 2\Big(\sin^3(x) + cos^3(x)\Big) \n  \n 2\Big(1-\sin(x)\cos(x)\Big)\Big(\sin(x) + \cos(x)\Big) = 2\Big(\sin^3(x) + cos^3(x)\Big)

2\Big(\sin^2(x)+\cos^2(x)-\sin(x)\cos(x)\Big)\Big(\sin(x) + \cos(x)\Big) = \n  2\Big(\sin^3(x) + cos^3(x)\Big)  \n  \n 2\Big(\sin^2(x)-\sin(x)\cos(x)+\cos^2(x)\Big)\Big(\sin(x) + \cos(x)\Big) = \n  2\Big(\sin^3(x) + cos^3(x)\Big)  \n  \n \boxed{2\Big(\sin^3(x) + cos^3(x)\Big)  = 2\Big(\sin^3(x) + cos^3(x)\Big)  }

Sneezy’s salary increased from $2500 to $4522 over a three-year period. Bombur’s salary increased from $4000 to $6700 over the same period. Whose salary increased more in absolute terms? (round to two decimal places)Sneezy’s salary increased by: dollars
Bombur’s salary increased by: . dollars



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:

The mean breaking strength of a ceramic insulator must be at least 10 psi. The process by which this insulator is manufactured must show equivalence to this standard. If the process can manufacture insulators with a mean breaking strength of at least 9.5 psi, it will be considered equivalent to the standard. A random sample of 50 insulators is available, and the sample mean and standard deviation of breaking strength are 9.32 psi and 0.21 psi, respectively. a. State the appropriate hypotheses that must be tested to demonstrate equivalence.



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.

Greg drinks 1 1/2 pints of milk a day. How much is this in cups? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.


Hey there! :)

1 pint = 2 cups

1/2 of a pint = 1 cup

2 + 1 = 3

Your answer is 3 cups

Hope this helps :)
3 cups. According to my calculation . You can check google as well.

This is the fourth time I put this question and no one helped me can someone please help me​


Sorry it took a long time.


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!


Sarah's Store

Step-by-step explanation: