Simplify: -4r + s - 2r - 3s​

9514 1404 393

Answer:

  E)  0.366π

Step-by-step explanation:

There are π/180 radians in a degree.

  66° = 66°(π/180°) = (66/180)π = 11/30π ≈ 0.366π radians

__

11/30 = 0.366... repeating, so would normally be rounded to 0.367

Answer:

8.2 x 10^1

Step-by-step explanation:

Answer: the answer would be A.

(x-1)(x-6)(x+6)

Step-by-step explanation:

a p e x

The LCD of the given expression is (x-1)(x-6)(x+6).

What is LCD?

The least common denominator (LCD) is the smallest number or expression that can be a common denominator for a set of fractions.

What is the LCD in the given expression?

Factor the denominator of the right side of the equation.

[tex]\frac{9}{x-1}-\frac{3x}{x+6}=\frac{4x}{(x-1)(x-6)}[/tex]

From this, it is conclude that the common denominator will be [tex](x-1)(x-6)(x+1)[/tex].

Therefore, the LCD of the given expression is (x-1)(x-6)(x+6).

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Work Shown:

b1 = 14 and b2 = 6 are the two parallel bases

h = 9 is the height

A = area of trapezoid

A = h*(b1+b2)/2

A = 9*(14+6)/2

A = 9*20/2

A = 9*10

A = 90 square meters

Answer:

4) 60 ft.²

5) 96 cm.²

6) 96

7) 126

8) 72

9) 32

10) 90

11) 216

(Formula for the area of a rectangle: length x width)

(Remember to follow PEMDAS when calculating the problems.)

Answer:

the diameter: 17inches

so the radius is: 8.5 inches

the formula for calculating a circle's area:

r×r×π

so:

8.5×8.5×3.14= 226.865

The required to the nearest hundredth, the area of the mirror with the frame is approximately 254.34 square inches.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

We know that the diameter of the mirror with the frame is 17 inches, which means that the radius of the mirror is half of that or 8.5 inches.

To find the area of the mirror with the frame, we need to subtract the area of the frame from the area of the circle. The area of the circle is:

[tex]A_{circle} = \pi r^2A_{circle} = 3.14 \times (8.5)^2A_{circle} \approx 226.98\ \ \ square inches[/tex]

To find the area of the frame, we need to subtract the area of the inner circle (the mirror) from the area of the outer circle (the frame). The radius of the inner circle is 8.5 inches, and the radius of the outer circle is half of the diameter of the mirror, or 8.5 + (1/2) = 9 inches.

The area of the frame is:

[tex]A_{{frame}} = \pi (9^2) - \pi (8.5^2)A_{frame} = 3.14 \times (81 - 72.25)A_{frame} \approx27.36 \ \ \ square inches[/tex]

Now we can find the area of the mirror with the frame by adding the area of the circle and the area of the frame:

[tex]A_{mirror\ with \ frame} = A_{circle} + A_{frame}A_{mirror\ with \ frame} \approx 226.98 + 27.36A_{mirror\ with \ frame} \aprrox 254.34 \ \ \ square inches[/tex]

Therefore, to the nearest hundredth, the area of the mirror with the frame is approximately 254.34 square inches.

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Using the shoelace formula (Green’s Theorem) in counterclockwise fashion, the value of x is -8.

Area of Polygon can be calculated using Shoelace formula described by Mathematician and Physicist Carl Friedrich Gauss where polygon vertices are described by their Cartesian coordinates in the Cartesian plane.

A = [tex]\frac{1}{2} |x_{1} y_{2} +x_{2} y_{3}+........x_{n-1}y_{n} +x_{n} y_{1} -x_{2} y_{1} -x_{3} y_{2} - ........-x_{n}y_{n-1}-x_{2}y_{n} |[/tex]

Shoelace formula (Green’s Theorem)

A = [tex]\frac{1}{2} |x_{1} y_{2} +x_{2} y_{3}+........x_{n-1}y_{n} +x_{n} y_{1} -x_{2} y_{1} -x_{3} y_{2} - ........-x_{n}y_{n-1}-x_{2}y_{n} |[/tex]

Where A is the area of the polygon and n is the number of sides of the polygon.

Here A = 6, n = 3, [tex]x_{1}[/tex] = 6, [tex]y_{1}[/tex] = 0, [tex]x_{2}[/tex] = 5, [tex]y_{2}[/tex] = 10, [tex]x_{3}[/tex] = [tex]x[/tex], [tex]y_{3}[/tex] = 20

A = 60 = [tex]\frac{1}{2} |(6.10)+(5.20)+(x.0)-(5.0)-(x.0)-(6.20)|[/tex]

60 = [tex]\frac{1}{2} |60+100-10x-120|[/tex]

60 = [tex]\frac{1}{2} |40-10x|[/tex]

60 = [tex]|20-5x|[/tex]

So 20 - 5x = -60

5x  = 80

x = 16

20 - 5x = 60

5x  = -40

x = -8

since x is a negative value,

we can know x = -8

Hence the value of x is -8.

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Answer:

Step-by-step explanation:

Answer:

18 - 5 + 4 / 5 x 1

18-5+4/5

13+4/5

(75+4)/5

79/5

hope it is helpful to you

Answer:

2200 cubic cm

Step-by-step explanation:

The volume of a rectangular prism is found using the formula:

V = l*w*h

V = 10 cm * 20 cm * 11 cm

V = 2200 cubic cm

Answer: 2200

Step-by-step explanation:

Answer:0.51 I just took the test

Step-by-step explanation:

Answer:

fairly sure its not the fourth one or the second one- so that narrows it down to the first and third one

Step-by-step explanation:

Answer:12/30

Step-by-step explanation:

Total apple =6

Yellow apples = 4

4/6

3/5

(4/6)*(3/5)= 12/30

Answer:

-11/12

Step-by-step explanation:

First add the numerator

5/8 + 3/4

Get a common denominator

5/8 + 3/4*2/2

5/8 + 6/8

11/8

Then subtract the denominator

-2/3  - 5/6

-2/3 *2/2   -5/6

-4/6 - 5/6

-9/6

Then divide

11/8 ÷ -9/6

Copy  dot flip

11/8 * -6/9

Simplify

11/8 * -2/3

11/3 * -2/8

11/3 * -1/4

-11/12

Answer:

43cm square

Step-by-step explanation:

A= bh

A=8.4cm x 5.2cm

A=43.68cmsqr

Answer:

Perimeter = 56

Area = 196

Step-by-step explanation:

We use the Pythagorean theorem to calculate the half-length of the sides (a):

Half of a side is 7, meaning that the full length is 14.

With that in mind we can calculate the perimeter and area:

Answer:

y=2x-1

Step-by-step explanation:

A line that is perpendicular has a slope that is a negative reciprocal of the given equation. The slope of the given equation is -1/2, so the negative reciprocal would be 2.

Then, using slope-intercept form, plug in the point values (2,3) into the equation and solve for b.

y=mx+b

y=2x+b

3=2(2)+b

-1=b

Therefore the equation is y=2x-1

Answer:

Over 300 students did not support start time after 8:00am

Step-by-step explanation:

Given

[tex]N = 600[/tex] --- population

[tex]n = 40[/tex] --- sample

See attachment for dataset

Required [True/False]

Over 300  wants start time after 8:00am

First, we calculate the number of samples that wants start time after 8:00am

[tex]x = 8:30am\ start + 9:00am\ start[/tex]

For sample 1

[tex]x_1 = 18[/tex]

The corresponding value of x1 in the overall population is:

[tex]X_1 = \frac{x_1}{n} * N[/tex]

[tex]X_1 = \frac{18}{40} * 600[/tex]

[tex]X_1 = \frac{18 * 600}{40}[/tex]

[tex]X_1 = \frac{10800}{40}[/tex]

[tex]X_1 = 270[/tex]

For sample 2

[tex]x_2 = 19[/tex]

The corresponding value of x2 in the overall population is:

[tex]X_2 = \frac{x_2}{n} * N[/tex]

[tex]X_2 = \frac{19}{40} * 600[/tex]

[tex]X_2 = \frac{19* 600}{40}[/tex]

[tex]X_2 = \frac{11400}{40}[/tex]

[tex]X_2 = 285[/tex]

None of X1 and X2 is greater than 300.

Hence, over 300 students did not support start time after 8:00am

None of X1 and X2 is greater than 300. so, over 300 students did not support start time after 8:00 am.

The population is 600 and the sample is 40.

The population of inference refers to the population (or universe) to which the results from a sample survey are meant to generalize.

Over 300 students did not support start time after 8:00 am

For sample 1

[tex]\rm x_{1} =18\\[/tex]

The corresponding value of x1 in the overall population is:

[tex]\rm X_{1} =\frac{x_{1} }{n} \times N\\\rm X_{1} =\frac{18}{40} \times 600\\\rm X_{1} =\frac{10800}{40}\\ \rm X_{1} =270\\[/tex]

For sample 2

[tex]\rm x_{2} =19[/tex]

The corresponding value of x2 in the overall population is:

[tex]\rm X_{2} =\frac{x_{2} }{n} \times N\\\rm X_{2} =\frac{19}{40} \times 600\\\rm X_{2} =\frac{11400}{40}\\ \rm X_{2} =285\\[/tex]

None of X1 and X2 is greater than 300.

Hence, over 300 students did not support start time after 8:00 am.

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Answer:

255

522

525

252

225

552

Step-by-step explanation:

IM NOT SURE

Answer:

A three-digit multiple of 6 that uses no other digits except 2 and 5 is 252.

Step-by-step explanation:

The question is basically asking a number that only uses 2 and 5 that is divisible by 6.

When you divide 252 by 6, you get 42, and this proves that 252 is a multiple of 6.

Answer:

A- most of the data in each plot is greater than 48

Step-by-step explanation:

took the test

Answer:

a

Step-by-step explanation:

a

Answer:

52=8n +4

4=52-8n

are equivalent

Answer:

a, b, c, e

Step-by-step explanation:

4(2n + 1) = 52 is the same as 52 = 8n + 4 if you use distributive property.

4 = 52 - 8n is the same as 52 = 8n + 4. The 8n is just subtracted from both sides.

4n = 48 is not the same as 4(2n + 1) = 52 or 52 = 8n + 4 or 4 = 52 - 8n.

n = 6 is the solution to the equation so it is equivalent.

Answer:

X = 9

Step-by-step explanation:

90 - ( 30 + 15 ) = 45

45/5 = 9

Step-by-step explanation:

first description must be given to the questions

Answer:

4x^2+20x+25

Step-by-step explanation:

(2x+5)^2 = (2x+5) (2x+5)

Using the foil method : 2x(2x) = 4x^2

(2x) (5) = 10x

(2x) (5) = 10x

5 (5) = 25

Combine like terms

Answer:

b. gain of 279 pounds

Step-by-step explanation:

107+85-27+114 = 279

Answer:

9100 + 107 + 85 - 27 + 114

Total weight = a. 9379 pounds

Answer:

3.83

Step-by-step explanation:

Mean of x = Σx / n

Mean of x = (14 + 19 + 13 + 6 + 9) / 5 = 12.2

Sum of square (SS) :

(14-12.2)^2 + (19-12.2)^2 + (13-12.2)^2 + (6-12.2)^2 + (9-12.2)^2 = 98.8

Mean of y = Σy / n

Mean of y = (101 + 89 + 48 + 21 + 47) / 5 = 61.2

Σ(y - ybar)² = (101-61.2)^2 + (89-61.2)^2 + (48-61.2)^2 + (21-61.2)^2 + (47-61.2)^2 = 4348.8

df = n - 2 = 5 - 2 = 3

Σ(y - ybar)² / df = 4348.8 / 3 = 1449.6

√(Σ(y - ybar)² / df) = √1449.6 = 38.074

Standard Error = √(Σ(y - ybar)² / df) / √SS

Standard Error = 38.074 / √98.8

Standard Error = 3.83

Answer:

I believe it to be 80 pieces if they are all cut into 8 pieces

Step-by-step explanation:

Answer:

I'm not sure how big each of the pieces of the pie are but I'm guessing 20 if each piece of pie is 1/2. Good luck on the question. Sorry I couldn't help you much.

Step-by-step explanation:

Answer:

-2x^2-5x+16

Step-by-step explanation:

Remove parenthesis:

-10x^2+9+8x^2-5x+7

Combine like terms:

-10x^2+8x^2-5x+9+7

= -2x^2-5x+9+7

=-2x^2-5x+16

Answer:

c???

Step-by-step explanation: