A bag of marbles contains 3 blue marbles, 2 green marbles and 5 red marbles. A marble is chosen at random. The probability that the marble selected is blue is:

Using trigonometric identities, it is found that the value of [tex]\cos{\theta}[/tex] is given by:

B. [tex]\cos{\theta} = \frac{\sqrt{17}}{6}[/tex]

It is given by the division of it's sine by it's cosine, that is:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

In this problem, the equation given is:

[tex]\tan{\theta} = -\sqrt{\frac{19}{17}}[/tex]

That is:

[tex]\frac{\sin{\theta}}{\cos{\theta}} = -\sqrt{\frac{19}{17}}[/tex]

[tex]\sin{\theta} = -\sqrt{\frac{19}{17}}\cos{\theta}[/tex]

The following identity is applied:

[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]

Then:

[tex]\left(-\sqrt{\frac{19}{17}}\cos{\theta}\right)^2 + \cos^2{\theta} = 1[/tex]

[tex]\frac{36}{17}\cos^2{\theta} = 1[/tex]

[tex]\cos^2{\theta} = \frac{17}{36}[/tex]

[tex]\cos{\theta} = \frac{\sqrt{17}}{6}[/tex]

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Answer:

Hi sorry I just wanted to ask is it B or D? positive or negative?

Step-by-step explanation:

edmentum is the worst

Answer:

4000

Step-by-step explanation:

1 ton = 2000 pounds

2 tons = ? pounds

Multiply:

2000 × 2 = 4000

There will be 4000 pounds of crushed stone.

Hope this helped.

Sam ordered 2 tons of crushed stone. How many pounds of crushed stone does she have?

Here, we need to convert the tons into pounds to get the desired result

✪ According to the question :

We know that,

1 ton = 2000 pounds

2 tons = 2(1000 pounds) = 2000 pounds

Answer:Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)

Step-by-step explanation:

Answer:

D. 1/16

Step-by-step explanation:

Evaluate: 2^-4

А. =100

В. -8ОО

С. -16

D. 1/16

Given

2^-4

= 1 / 2⁴

= 1 / (2 * 2 * 2 * 2)

= 1 / 16

Therefore,

2^-4 = 1/16

D. 1/16

4b² when b = -1/2

[tex] = {4( \frac{ - 1}{2})}^{2} \\ = 4( \frac{1}{4}) \\ = \frac{4}{4} \\ = 1[/tex]

Answer:

-4

Step-by-step explanation:

4b x 2 when b = -1/2

1) put -1/2 where b is.

4 x -1/2 x 2

2) solve.

-2 x 2

-4

Answer:

universal set is the right answer

answer:

is this cool? or explanation?

Answer:

20.53 minutes

Step-by-step explanation:

Speed = Distance/Time = 30/7

Time = Distance / Speed

= 5280/30/7

= 1232 seconds / 60 = 20.53 minutes

Answered by Gauthmath

Answer:

WX=10; VW=22; WY=20; VX=32; WZ=30;VY=42

Step-by-step explanation:

1)WX=XY=XZ/2=20/2=10

2)VW=VZ-WX-XY-YZ=VZ-3*WX=52-3*10=52-30=22

3)WY=WX+XY=2*WX=2*10=20

4)VX=VW+WX=22+10=32

5)WZ=WX+XY+YZ=3*WX=3*10=30

6)VY=VZ-YZ=52-10=42

The points V, W, X, Y and Z are collinear. The indicated lengths are

[tex]WX=10\\VW=22\\WY=20\\VX=32\\WZ=30\\VY=42[/tex]

Given :

points V, W, X, Y and Z are collinear, VZ= 52, XZ =20, and WX=XY=YZ

Lets make diagram using the given information

The diagram is attached below

XY=YZ

XZ=20, so [tex]XY+YZ=20\\Both XY and YZ are same\\XY+XY=20\\2XY=20\\Divide \; by \; 2\\XY=10[/tex]

[tex]WX=XY=YZ \\XY=10\\WY=10\\YZ=10\\[/tex]

Now we find out VW

[tex]VW+WX+XY+YZ=52\\VW+10+10+10=52\\VW+30=52\\Subtract \; 30\\VW=52-30\\VW=22[/tex]

Now we find the indicated length

[tex]WX =10[/tex]

[tex]VW=22\\WY=WX+XY=10+10=20\\VX=VW+WX=22+10=32\\WZ=WX+XY+YZ=10+10+10=30\\VY=VW+WX+XY=22+10+10=42[/tex]

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Answer:

Step-by-step explanation:

4280 granos de maíz pira se requerirán para obtener una libra de palomitas de maíz.

Dado que algunos granos de maíz al ser calentados revientan y pierden agua de manera explosiva, y en promedio se puede considerar que tienen una masa de 125 mg y cuando explotan (palomitas de maíz) su masa es de 106 mg, para determinar cuántos granos de maíz pira se requerirán para obtener una libra de palomitas de maíz se debe realizar el siguiente cálculo:

Por lo tanto, 4280 granos de maíz pira se requerirán para obtener una libra de palomitas de maíz.

Aprende más sobre cálculo en https://brainly.com/question/2193984

Answer:

10 packs of dvds

Step-by-step explanation:

$180 / $18 = 10 packs

You can buy a maximum of 10 dvd packs

Answer:

you can buy 10 dvds that is thr answer

Given:

The equation is:

[tex]y=\sqrt[3]{x}[/tex]

To find:

The graph of the given equation.

Solution:

We have,

[tex]y=\sqrt[3]{x}[/tex]

The table of values is:

x                 y

-8              -2

-1                -1

0               0

1                 1

8                8

Plot these points on a coordinate plane and connect them by a free hand curve as shown in the below graph.

Answer:

D

Step-by-step explanation:

edge 2020

Answer:

Step-by-step explanation:

If the function is f(x), then shift 8 units left and 3 units down will result in:

Apply to the given function to get:

Correct choice is A

Answer:

a. 5 hours

b. 40 kph

Step-by-step explanation:

300 km ÷ 60 km = 5 hours

200 km ÷ 5 hours = 40 kilometers per hour

Given:

The probability of drawing a red candy at random from a bag of 25 candies is [tex]\dfrac{2}{5}[/tex].

To find:

The probability of randomly drawing a red candy from the bag after removing 5 candies from the bag.

Solution:

Let n be the number of red candies in the bag. Then, the probability of getting a red candy is:

[tex]P(Red)=\dfrac{\text{Number of red candies}}{\text{Total candies}}[/tex]

[tex]\dfrac{2}{5}=\dfrac{n}{25}[/tex]

[tex]\dfrac{2}{5}\times 25=n[/tex]

[tex]10=n[/tex]

After removing the 5 candies from the bag, the number of remaining candies is [tex]25-5=20[/tex] and the number of remaining red candies is [tex]10-5=5[/tex].

Now, the probability of randomly drawing a red candy from the bag is:

[tex]P(Red)=\dfrac{5}{20}[/tex]

[tex]P(Red)=\dfrac{1}{4}[/tex]

Therefore, the required probability is [tex]\dfrac{1}{4}[/tex].

Answer:

Step-by-step explanation:

m1 = 300

m2= 300(1+.05) = 300(1.05)

m3 = 300(1.05)(1.05)

m4= 300(1.05)(1.05)(1.05)

each subsequent month is the previous month times "1 + .05"

the "one" preserving the running total, and the extra ".05" adding the 5%

the repeating (1.05)(1.05)(1.05) is notational simplified using exponents

(1.05)(1.05)(1.05) = [tex](1.05)^{3}[/tex]

Answer:

I'm going to say A and B (I think)

Answer:

P = 1,-10

Q=1,-1

R=7,-1

S=7,-10

Step-by-step explanation:

the answer is -1. I have a picture, take a lot at it

Answer: 3x+3

Step-by-step explanation:

4x+3-x

= (4x-x) + 3

= 3x+3

Answer:

-3.662rad × 180/π = -209.8°

Step-by-step explanation:

Answer:

1 degree = .01745329 radians

1 radian = 57.2957877856 degrees

-209.8 degrees = .01745329 * -209.8 =

-3.66170024200 radians

Step-by-step explanation:

Answer:

Step-by-step explanation:

If K is square number, then exponents in number N are even.

Answer:

The equation of the perpendicular line (PR) to line PQ is; y = -0.5x - 1.5

Step-by-step explanation:

The line is perpendicular to line adjoined by points P(-3,0) and Q(0,6)

The slope of line PQ is;

Slope = change in y ÷ change in x = [tex]\frac{6 - 0}{0 -- 3}[/tex] = 2

The product of slopes of two perpendicular lines = -1

Hence the slope of line PR = -1 ÷ slope of line PQ = -1/2

Taking another point (x,y) and point P(-3,0) the equation of line PR is;

Slope = [tex]\frac{y - 0}{x - -3} = -\frac{1}{2}[/tex]

Cross-multiplying gives;

2y = -x - 3 , y = -x/2 - 3/2 , y = -0.5x - 1.5

Answer:

3

Step-by-step explanation:

Answer:

See below & pic.

Step-by-step explanation:

Start by plotting the given point. Then use the slope to find two more points. From the given point go up 2 and right 4. GO back to the given point. Go down 2 and left 4. Now you have 3 points. Connect them with a line.

Answer:

or, -4a - 2a -7 = 11

or, -4a -2a =11 +7

or, - 6a = 18

or, a= 18÷ -6

a= -3

Answer:

4500

Step-by-step explanation:

The first digit can't be 0. so it will be a number from 1000 to 9999. That's a total of 9000 numbers (9999-1000+1=9000). Since the last digit must be an even number that is one half of the 9000 numbers which is 4500.

Answer:

C is the answer

Step-by-step explanation:

Quadratic equations have at most 2 solution, and linear equations only have 1 solution, and since y is equal to both of them, it can only have 1 or 2 solutions.

The correct answer is option D.  The system may have no, 1, or 2 solutions

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

f(x) is a quadratic function and g(x) is linear function

y=f(x)

y=g(x)

Quadratic equations have at most 2 solution

linear equations only have 1 solution,

f(x)=g(x)=y

y is equal to both of them, it can only have 1 or 2 solutions.

A line and a parabola can intersect zero, one, or two times

Therefore, a linear and quadratic system can have zero, one, or two solutions

Hence, the correct answer is option D.  The system may have no, 1, or 2 solutions

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Answer:

the number A(t) of grams of salt in the tank at a time is A(t)=150-110e-t/50

Answer:

Ascending- 10%, 0.2, 1/4, 30%

Descending- 30%, 1/4, 0.2, 10%

Step-by-step explanation:

0.2 = 2/10 = 4/20

1/4 = 5/20

30% = 30/100 = 6/20

10% = 10/100 = 2/20

Ascending

-2/20, 4/20, 5/20, 6/20

- 10%, 0.2, 1/4, 30%

Descending

- 6/20, 5/20, 4/20, 2/20

- 30%, 1/4, 0.2, 10%