Paul has 2 red marbles ve, 8 blue marbles, and 5 purple marbles in his
bag. What is the probability that he will randomly select one purple
marble and one blue marble without replacement

Answer:

I believe one is the answer your looking for

Step-by-step explanation:

[tex]\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ s=12\\ r=8 \end{cases}\implies 12=8\theta \implies \cfrac{12}{8}=\theta \implies \cfrac{3}{2}=\theta[/tex]

Answer:

83°

Step-by-step explanation:

w+32+65=180 [being the sum of triangle]

w=180-97=83°

Answer:

7.5 - 3.8 = m

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplifying

2x + 13 = 0

Reorder the terms:

13 + 2x = 0

Solving

13 + 2x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.

13 + -13 + 2x = 0 + -13

Combine like terms: 13 + -13 = 0

0 + 2x = 0 + -13

2x = 0 + -13

Combine like terms: 0 + -13 = -13

2x = -13

Divide each side by '2'.

x = -6.5

Simplifying

x = -6.5

The maximum number of months the computer could be kept so that it is cheaper to rent than to buy is 10 months.

The first step is to determine the month in which the two options would have the same cost. The equation that can be used to determine this value is:

$1890 = $900 + 90t

90t = 1890 - 900

90t = 990

t = 990 / 90

t  = 11 months

The maximum number of months = 11 months - 1 = 10 months

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The equivalent expression of the provided expression g²h√(5g) is √(5g⁵h²). Then the correct option is B.

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

→ g²h√(5g)

Then the function can be written as

→ √(5g⁵h²)

Then the equivalent expression of the provided expression g²h√(5g) is √(5g⁵h²).

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Answer:

3500,00 (2 multiply by 6,75%)

3500,00 (2 multiply by 6,75 divide by 100)

3500,00 ( 2 multiply by 0,0675)

3500,00 multiply by 0,135

= R472,50

Answer:

55

Step-by-step explanation:

ΔVMW ~ ΔPMN, because as their bases are parallel, it means their angles are equal.

===============================================================

Finding the scale factor :

⇒ VW : PN

⇒ 6 : 15

⇒ 2 : 5

==============================================================

Finding WN :

⇒ MW : WN = 2 : 5

⇒ 8 : WN = 2 : 5

⇒ 8/WN = 2/5

⇒ WN = 8/2 × 5

⇒ WN = 20

=============================================================

Perimeter of ΔPMN :

⇒ Perimeter = MP + PN + MW + WN

⇒ Perimeter = 12 + 15 + 8 + 20

⇒ Perimeter = 27 + 28

⇒ Perimeter = 55

Step-by-step explanation:

y=5(x+1/5)² -36/5

y=5(x+1/5)² -36/5

Answer: Choice A.

(0, b)

==================================================

Explanation:

Pick any random 3 numbers you want for a,b,c.

The points U, W and Z become

Or in short,

Plot each of those points on the same xy grid.

Next, using a different color, plot each of the answer choices.

You should find that point A helps form a parallelogram, while the other answer choices don't lead to a parallelogram.

See the screenshot below. I used GeoGebra to make the diagram. Desmos is another useful tool as well.

Interpreting (1,15) with (4,60), found that (4,60) is 4 times of the coordinate (1,15).

A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.

For interpreting we have to find the relation between (1,15) and (4,60)

We have, (1,15)

For x- coordinate 1, y- coordinate will be 15

Now,

let us take x- coordinate=2 then y- coordinate =30

again, if x-coordinate = 3 then y-coordinate  = 45

lastly, if the x-coordinate =4 then y-coordinate = 60

That means (4,60) is the 4 times of the coordinate (1,15) i.e., the x-coordinate is 4 times as well as the y- coordinate is 4 times.

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Answer:

is the ratio of the circumference of any circle to the diameter of that circle.

Step-by-step explanation:

The reference angle for a 240° angle is 60°

A reference angle is the angel that is found on the first quadrant of a a circle.

The angle that is being measured is in the third quadrant of a circle, we will subtract 180° from the given angle.

Therefore, the reference angle for a 240° is =

240-180= 60°

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Answer:

1400 is the volume and the surface area 980

Step-by-step explanation:

Answer:

Step-by-step explanation:

The  coordinates of E(4a, 0).

A midpoint is a point in the middle of the line connecting two points that lies between them. The midpoint is a point that lies in the middle of the line and is equidistant from the two points if a line is drawn to connect them.

The midpoint between two points whose coordinates are known to us can be found using the midpoint formula. If we know the coordinates of the other endpoint and the midpoint, we can also use the midpoint formula to determine the coordinates of the endpoint.

Given coordinates

A(-3a, -2b),  D(a, -2b), C(5a, -2b) and B(3a, 2b)

to find the coordinates of E,

and E is midpoint of B and C

for coordinates of midpoint is (x, y) = [(x₂ + x₁)/2, (y₂ + y₁)/2]

here B  = (3a, 2b) = (x₁, y₁)

and C = (5a, -2b) = (x₂, y₂)

x = (5a + 3a)/2 = 8a/2 = 4a

y = (-2b + 2b)/2 = 0/2 = 0

E(4a, 0)

Hence coordinates of E are (4a, 0).

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The factors of the given quadratic expression are (3x+4) and (2x-15)

From the question, we are to determine the factors of 6x²+37x-60

The given quadratic expression can be factored as shown below

6x² + 37x -60

This becomes

6x² -45x + 8x -60

3x(2x-15) +4(2x-15)

Then,

(3x+4)(2x-15)

Hence, the factors of the given quadratic expression are (3x+4) and (2x-15). The correct option is the second option (3x+4) and (2x-15)

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Answer:

(3x+4) and (2x-15)

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

4 sin^2 -1 =0

sin^2 = 1/4          Take sqrt of both sides

sin = ± 1/2       < ===== this is likely where he went wrong (forgot + - )

 answer:  pi/6    5pi/6    7 pi/6     11pi/6

The perimeter of the polygon will be (2x + 2xy + y + xz). Then the correct option is D.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The figure is given below.

The sides of the polygon are given as x, y, xz, x, xy, and xy.

Then the perimeter of the polygon will be

The perimeter of the polygon is given as the sum of all the sides of the polygon.

Then the perimeter will be

P = x + y + xz + x + xy + xy

P = 2x + y + 2xy + xz

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Answer:

1) 11.10cm

2)12.10cm

3)14.10cm

4) 15cm

The area of the rectangular roof (both sides of the roof) = 1,360 ft²

Cost to cover both sides = $1,020

The area of a rectangle = (length)(width)

Area of both sides of the roof = 2(area of rectangle) = 2(40×17) = 1,360 ft²

Cost to cover both sides = 1,360 × 0.75 = $1,020

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The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be 3.75 square units.

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be

Then the intersection point will be given as

[tex]\rm 5 \sin \theta = 4\\\\\theta = 0.927 , 2.214[/tex]

Then by the integration, we have

[tex]\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214}[ (5 \sin \theta)^2 - 4^2] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [25\sin ^2 \theta - 16] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [ \dfrac{25}{2}(1 - \cos 2\theta ) - 16] d\theta \\[/tex]

[tex]\rightarrow \dfrac{1}{2} [\dfrac{25 \theta }{5} - \dfrac{25 \cos 2\theta }{2} - 16\theta]_{0.927}^{2.214} \\\\\\\rightarrow \dfrac{1}{2} [\dfrac{25(2.214 - 0.927) }{5} - \dfrac{25 (\cos 2\times 2.214 - \cos 2\times 0.927) }{2} - 16(2.214 - 0.927]\\[/tex]

On solving, we have

[tex]\rightarrow \dfrac{1}{2} \times 7.499\\\\\rightarrow 3.75[/tex]

Thus, the area of the region is 3.75 square units.

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Answer:

b

Step-by-step explanation:

because when u multiply the number that is outside of the bracket with the number inside the bracket it suppose to equal to the equation bk .....so b is the answer

19+13=32

32+63=95

95-4=91

91+10=101

This means that 101 people are now on the bus.

HOPE THIS HELPS <3

Answer: 10 students in each group

Step-by-step explanation: Add 90 + 60 which is 150

Divide 150 by 15 to find out the amount of students in each group.

150 divided by 15 is 10.

Answer: The domain of a function is the set of values that we are allowed to plug into our function.

Step-by-step explanation:

Answer:

x = 2 ; y = 12

Step-by-step explanation:

2x + 3y = 40

+ -2x +2y = 20

You solve for one of the variables by cancelling out one and making one the subject.

2x + 3y = 40.

+ -2x +2y = 20

5y = 60

5y/5 = 60/5

y = 12

Next, you solve for X by replacing the value of y in any of the equations.

2x + 3y = 40

2x + 3(12) = 40

2x + 36 = 40

2x = 40 - 36

2x = 4

2x/2 = 4/2

x = 2

To prove the equations are set, replace the values of X and Y in one of the equations.

2x + 3y = 40

2(2) + 3(12) = 40

4 + 36 = 40

40 = 40