Simplify the expression so there is only one positive power for each base. ​

Answer:

6.128054

Step-by-step explanation:

Answer:

the answer is 3000, hope it helped :-)

The triangle solve for B = 36°, a = 41, c = 20 is:

b ≈ 27.5, C ≈ 115.5, A ≈ 28.5

To solve the triangle, we can use the Law of Cosines, which states that for any triangle with sides a, b, and c and angles A, B, and C opposite those sides,

c² = a² + b² - 2ab cos(C)

We can use this formula to find the length of the missing side b:

b² = a² + c² - 2ac cos(B)

b² = 41² + 20² - 2(41)(20) cos(36°)

b² ≈ 1074.12

b ≈ 32.8

Now that we have found the length of side b, we can use the Law of Sines to find the measures of angles A and C:

sin(A) / a = sin(B) / b

sin(A) / 41 = sin(36°) / 32.8

sin(A) ≈ 0.274

A ≈ 16.5°

We know that the angles in a triangle add up to 180°, so C = 180° - A - B ≈ 127.5°.

The closest choice to these values is:

b ≈ 27.5, C ≈ 115.5, A ≈ 28.5

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Answer:

The slope is [tex] - \frac{9}{8} [/tex].

Step-by-step explanation:

[tex]m = slope[/tex]

Remember: [tex]m = \frac{y_2 - y_1 }{x_2 - x_1} [/tex]

☆All you have to do is plug in.

[tex]m = \frac{2 - 11}{9 - 1} = \frac{ - 9}{ \: \: 8} = - \frac{9}{8} [/tex]

Answer: Total work stations = 20

Step-by-step explanation:

Total clay = [tex]\dfrac58[/tex] pound

Clay at each work station =  [tex]\dfrac1{32}[/tex] pound

Total work stations = (Total clay ) ÷ (Clay at each work station )

[tex]=\dfrac58\div\dfrac{1}{32}\\\\=\dfrac58\times32\\\\= 5\times4\\\\= 20[/tex]

Hence, Total work stations = 20

Answer:

- increase the sample size

- choose students from different grade levels

- choose every fourth student in all language arts classes

Your welcome :]

The three options are

The following information should be considered:

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Answer:

The smallest angle is the angle shown by 3x - 17 which ends up being 49°.

Step-by-step explanation:

The angles of a triangle add up to 180 degrees. We can write an equation and solve for x.

75 + (2x + 12) + (3x - 17) = 180

~Combine like terms

70 + 5x = 180

~Subtract 70 to both sides

5x = 110

~Divide 5 to both sides

x = 22

Using what we found for x, solve for the missing angles.

2x + 12

2(22) + 12

44 + 12

66

3x - 17

3(22) - 17

66 - 17

49

Best of Luck!

Answer:

y=3x-10

Step-by-step explanation:

Answer:          36x^3 +27x^2 = 9x^2\left(4x+3\right)

Step-by-step explanation: apply exponent rule rewrite factor out common term plz enjoy

Answer:

[tex]x = 0\; ,-\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]36x^3 + 27x^2 = 0[/tex]

[tex]=> 9x^2(4x + 3) = 0[/tex]

Here, x will have 2 values :-

1) [tex]9x^2(4x + 3) = 0[/tex]

[tex]=> \frac{9x^2(4x + 3)}{(4x+3)} = \frac{0}{4x+3}[/tex]

[tex]=> 9x^2 = 0[/tex]

[tex]=> \frac{9x^2}{9x} = \frac{0}{9x}[/tex]

[tex]=> x = 0[/tex]

2) [tex]9x^2(4x + 3) = 0[/tex]

[tex]=> \frac{9x^2(4x + 3)}{9x^2} = \frac{0}{9x^2}[/tex]

[tex]=> 4x+3 = 0[/tex]

[tex]=> 4x+3 -3 = 0 - 3[/tex]

[tex]=> 4x=-3[/tex]

[tex]=> \frac{4x}{4} = \frac{-3}{4}[/tex]

[tex]=> x = -\frac{3}{4}[/tex]

Answer:

to find the slope of any graph

use this equation

Step-by-step explanation:

[tex]m = \frac{y2 - y1}{x2 - x1} \\ \frac{8 - 0}{2 - 0} \\ m = 4[/tex]

Answer:

Step-by-step explanation:

what’s the answer?

Answer:

area models

Step-by-step explanation:

an area modle is something to model area

Answer:

1. round

2. associative property of multiplication

3. commutative property of multiplication

4. mixed number

Answer: 12.1 years

Step-by-step explanation:

youd find 2.2% of 3000 which is 66 and then divide 800 by 66 to see how many years it would take to make 800 interest and you get 12.1 years. 90% sure on that answer btw

Answer:

[tex] \sqrt{ {8}^{2} +{10}^{2} } = \sqrt{64 + 100} = \sqrt{164} =2\sqrt{41}\\ =\boxed{12.8\: units} [/tex]

The diagonal length of the rectangular book is 12.8 units.

A rectangle is "four sided polygon, having all the internal angles  is equal to 90 degree. The two sides of each corner is right angles".

According to the question,

The length of rectangle is 8 units and the breadth of rectangle is 10 cm.

To find diagonal of the rectangle: Using Pythagoras theorem a² + b² = c².

c = [tex]\sqrt{a^2 + b^2}[/tex]

  = [tex]\sqrt{8^2 + 10^2}[/tex]

  = [tex]\sqrt{64 + 100}[/tex]

  = [tex]\sqrt{164}[/tex]

  = 2[tex]\sqrt{41}[/tex]

  = 12.8 units

Hence, the diagonal length of the rectangular book is 12.8 units.

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Answer:

5(3x - 9)

3(5x - 45)

Step-by-step explanation:

If you simplify the expression "Andre" wrote, you would get 15x - 45 and just need two other expressions that equal 15x - 45. In this problem it's simple since only 3 and 5 can multiply to make 15 besides 1 and 15, which is used in the expression "Andre" wrote, meaning it couldn't be used.

Answer:

1:3

Step-by-step explanation:

Given that,

Total no. of boys = 5

Total no. of girls = 10

We need to find the ratio of the number of boys in the club to the total number of students in the club.

Total no. of students = no. of girls + no. of boys

= 5 +10

= 15

Ratio,

[tex]R=\dfrac{5}{15}\\\\=\dfrac{1}{3}[/tex]

Hence, the required ratio is 1/3 or one third.

Answer:

1/3

Step-by-step explanation:

Answer: 17.5 out of 25

I hope this helped

Step-by-step explanation:

Answer:

The Miami Dolphins had 3 touchdowns and 3 field goals.

Step-by-step explanation:

It is given that During their last game, the Miami Dolphins scored 6 times, for a total score of 30 points. They scored 7 points for each touchdown and 3 points for each field goal.

We need to write and solve the system of equations to find the total touchdowns and field goals scored.

Let x represents the number of touchdowns.

Let y be the number of field goals.

It is given that the Miami Dolphins scored 6 times

[tex]x+y=6[/tex]

[tex]x=6-y[/tex]....(1)

They scored 7 points for each touchdown and 3 points for each field goal.

The total score is 30 points:

[tex]7x+3y=30[/tex] ...(2)

Put the value of x from equation (1) into equation (2).

[tex]7( 6-y)+3y=30[/tex]

[tex]42-7y+3y=30[/tex]

[tex]-4y=30-42[/tex]

[tex]-4y=-12[/tex]

[tex]y=3[/tex]

Put y = 3 in equation 1.

[tex]x=6-3[/tex]

[tex]x=3[/tex]

Hence, the Miami Dolphins had 3 touchdowns and 3 field goals.

Answer:

On each team there is the same number of teammates, the answer is D. 8 (9 + 5).

Step-by-step explanation:

If you add up the amount of teammates then multiply that by the number of teams.

Therefore, D. 8 (9 + 5) is the answer.

Answer:

3 miles per hour.

Step-by-step explanation:

To get his walking rate in miles per hour, we multiply 1/5 by its reciprocal, 5/1. We also multiply 6/10 by 5/1. This gets us 30/10 of a mile in an hour. We can simplify 30/10 to 3. This means he walks at 3 miles per hour.

Answer:

I got you its C babes if you need anything else I can help

Answer:

the answer is

[tex]3 \frac{7}{20} [/tex]

Step-by-step explanation:

hope it helps

Answer:

Red line is y=0.8x

Blue line is y=0.8x-3.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 pounds:7 dollars

1 pound: 2.33 dollars

divide 3 by 3 to find 1. divide 7 by 3.

Answer:

3,000 women

Step-by-step explanation:

6  :  5        

m    w

so if 6 represents men and 5 represents women, then

3,600/6=600

so

5x600=3,000

so your answer would be 3,000

Answer:

Step-by-step explanation:

There's no pic u might want to repost it again

Answer:

what??????????

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Answer:

the required answers will be

Step-by-step explanation:

for explanation see the attached picture

okay