There are 3 red balls, 5 green balls, and 1 yellow ball in a hat. If you draw the yellow ball, you gain $10. If you draw any of the red balls, you gain $4. If you draw a green ball, you lose $3. If you were to play this game 25 times, replacing the drawn ball each time, how much money can you expect to gain or lose?

Answer:

4.4 ft

Step-by-step explanation:

The sides of a right triangle are "tied together" mathematically by an equation called the Pythagorean theorem, which says: in any right triangle, the relationship between the two sides that make the right angle (we'll call them a and b) and the side across from it (c) is

[tex]a^2+b^2=c^2[/tex]

Let's sustitute these for the values we have in our problem (measured in feet)

[tex]9^2+a^2=10^2\\81+a^2=100\\a^2=19\\a=\sqrt{19}[/tex]

19 is between the perfect squares [tex]4^2=16[/tex] and [tex]5^2=25[/tex], so [tex]\sqrt{19}[/tex] must be between 4 and 5, a little bit closer to 4. Punching the expression into the calculator confirms this with a value of [tex]\sqrt{19}\approx4.3588[/tex] which we can round to 4.4 ft.

Answer:  An infinite number

We're given angles adding to 180 degrees, so we can generate as many similar triangles with these angles as we like.  They'll all have the same shape but different sizes.

Answer:

1

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The inequality matches the given statement  3n-5>2/3n.

An inequality is a relationship between two different quantities or expressions.

An inequality may be expressed by a mathematical sentence that uses the following symbols:

< is less than

> is greater than

≤ is less than or equal to

≥ is greater than or equal to

≠ is b equal to

"Five less than three times a number is greater than two-thirds of that number.

3n-5>2/3n

Hence, the inequality matches the given statement  3n-5>2/3n.

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Answer:

The product of 21 and 18

Step-by-step explanation:

When you multiply the word is product

The product of 21 and 18

Answer:

the answer is H

Step-by-step explanation:

Answer:

y = - 8x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6), thus

y = a(x - 0)² + 6, that is

y = ax² + 6

To find a substitute (- 1, - 2) into the equation

- 2 = a(- 1)² + 6, that is

- 2 = a + 6 ( subtract 6 from both sides )

- 8 = a

y = - 8x² + 6

The formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

A quadratic function is represented as:

[tex]y = a(x - h)^2 + k[/tex]

The vertex of the quadratic function is given as:

[tex](h,k) = (0,6)[/tex]

So, we have:

[tex]y = a(x - 0)^2 + 6[/tex]

This gives:

[tex]y = ax^2 + 6[/tex]

The quadratic function passes through (-1,-2).

So, we have:

[tex]-2 = a(-1)^2 + 6[/tex]

[tex]-2 = a + 6[/tex]

Subtract 6 from both sides

[tex]a = -8[/tex]

Substitute -8 for a in [tex]y = ax^2 + 6[/tex]

[tex]y = -8x^2 + 6[/tex]

Hence, the formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

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Answer:

Step-by-step explanation:

reference angle=(14 π)/11-π=(14-11)π/11=3π/11

Answer:

3

Step-by-step explanation:

To find f(3) we just need to plug in 3 wherever we see an n

f(3) = f(3 - 2) + f(3 - 1)

f(3) = f(1) + f(2)

Since f(1) and f(2) are given, we can plug in the respective values

f(3) = f(1) + f(2) → f(3) = 1 + 2 = 3

Answer:

3

Step-by-step explanation:

I just did it on Khan

Answer:

X = Y - 11873.21

X = 17009.1 feet

Step-by-step explanation:

Let x represent the elevation of Mt. Wilson. And

Y = Mt snow Crest.

Since Snow Crest is 11,873.21 feet higher than Mt. Wilson, the equation will be

X = Y - 11873.21

Where Y = 28,882.31

Substitute Y into the equation

X = 28882.31 - 11873.21

X = 17009.1 feet.

Answer:

w+5=7

Step-by-step explanation:

Integers*?

Let [tex]n[/tex] be the smallest of these five consecutive integers. Then the sum of the five consecutive integers is [tex]\frac{5(2n+4)}{2}=5n+10,[/tex] so we seek the largest positive integer [tex]n[/tex] such that [tex]5n+10<2020.[/tex] Solving this inequality, we find that [tex]n<402,[/tex] so there are [tex]\boxed{401}[/tex] such positive integers.

Answer:

1.

The amount of time could be related to the battery charge by equation:

y = ax + b

a = 16% per 30 min = 32% per hour

b = 10%

=> y = 32x + 10

2.

In term of charging time, the rate of charging is 32% per hour

Answer:

-.01

Step-by-step explanation:

X - Y + Z

2.3 - (-1.6) + (-4)

2.3 + 1.6 - 4

-0.1

I hope this is helpful!!!!!!! :)

Answer:

-0.1

Hope this helped :)

Answer:

48

Step-by-step explanation:

Split it into 2 right triangles flip one around and you have a rectangle who's area is equal to 10x6.

a=6

c=2

b=?

Solve for b:

Answer:

3 is the answer. lol lol

Answer:

3

Step-by-step explanation:

The difference of x and 3

Difference means subtract, so we subtract 3 from x

x-3

14 subtracted from

14 is subtracted from the difference of x and 3, so

(x-3)-14

Therefore, the correct choice is 3: (x-3)-14

All in the attachment :)

and don't complain about my drawing skills ;)

Answer:

4.5 cm

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r where r is the radius

28.3 = 2 * (3.14) *r

28.3 = 6.28 r

Divide each side by 6.28

28.3/6.28 = r

4.506369427=r

The approximate length of the radius is 4.5 cm

Answer:

Original

Step-by-step explanation:

Answer:

B: (2,2)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B cause

Answer:The Correct answer is C) the summation from n equals one to 6 of quantity negative 7 minus 3 times n

Step-by-step explanation:

The given Arithmetic sequence: −10, −13, −16, …

Theory : For arithmetic sequence : a, a+d,a+2d......a+(n-1)d

Formula for summation is given as Sn =

Where, a=  First term of sequence = (-10) and d= difference of any two consecutive terms = (a+d)-(a) = (-13)-(-10)= (-3)

Putting values in Summation formula

Sn =

Sn =

Sn =

Sn =

Thus, Correct answer is C) the summation from n equals one to 6 of quantity negative 7 minus 3 times n

Answer:

1. 135 2. 16.875

Step-by-step explanation:

1. 5 x 4.5 x 6 = 135

2. 2.5 x 2.25 x 3 = 16.875

Answer:

[tex]y>2[/tex]

[tex]\{y\in \mathbb{R}|y>2\}[/tex]

The interval notation is: [tex](2, \infty)[/tex]

Step-by-step explanation:

[tex]7+6y>19[/tex]

[tex]6y>12[/tex]

[tex]y>2[/tex]

Answer:

B

Step-by-step explanation:

2= 9

4= 64

64-9=55

If you subtract that

You will get 55

Answer:

the correct answer is 27.5

Step-by-step explanation:

Answer:

D, B, and F.

Step-by-step explanation:

Points D, B, and F lie on the line when graphed.

Answer:

Volume is 3.05m³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere

Step one

The formula for the volume of a sphere is expressed as

V=4/3πr³

Step two

Given data

Diameter d = 1.8m

Radius r = d/2= 1.8/2= 0.9m

Step three

Substituting our given data we have

V= 4/3*3.142*0.9³

V= 4/3*3.142*0.729

V= 9.162/3

V=3.05m³

Answer:

a.) 4/6

Step-by-step explanation:

3/5 = .6

4/6 = .666666666667

6/12= 0.5

3/8= .375

4/10= .4

Answer: 4/6

Step-by-step explanation:

IT IS THE BIGGEST. :)

Answer:

Step-by-step explanation:

The answer would be -1, 0

The first numbers represent the A axis, so -3-2 = -1

The 2nd number represents the B axis, so 5-5=0

The midpoint of the line segment is (-1/2, 0).

The midpoint of a line segment is given as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

A = (-3, -5) = (a, b)

B = (2, 5) = (c, d)

The midpoint of AB is (x, y).

x = (a + c)/2

x = (-3 + 2)/2

x = -1/2

y = (b + d) / 2

y = (-5 + 5)/2

y = 0/2

y = 0

(x, y) = (-1/2, 0)

Thus,

The midpoint is (-1/2, 0).

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Answer: B

Step-by-step explanation:

Answer:

C 12

Step-by-step explanation:

16 × 6 ÷ 8 = 12

check answer: 24 × 12 ÷ 16 = 18