how many different outcomes are possible from rolling a six sided cube four times

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123456789101098765432110123456789

123456789101098765432110123456789

123456789101098765432110123456789

123456789101098765432110123456789

I did it five times.

The Step 2 shows the mistake done by Ettiene.

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

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.

Given:

The given equation is x(x+4)=117.

Step1:  x²+4x=117

Now, b/2 =4/2 =2

Then, add 2² to both the sides of an equation, we get

x²+4x+2²=117+2²

x²+4x+4=117+4

(x+2)²=121

x+2=±√121

x+2=±11

x=±11-2

x=11-2=9 and x=-11-2=-13

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Answer:

area of a cylinder=[tex]\pi[/tex]r²h

Step-by-step explanation

[tex]\pi[/tex]*100*15=1570.79632679 cubic inch

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Answer:

$320.00

Step-by-step explanation:

640÷64=10

32×10=$320.00

Answer:

1.) C

2.) A

3.) D

4.) C

Step-by-step explanation: Given that the

$8,008 for tuition and fees each year.

Room and housing are an additional $8,392 per year.

Total = 8008 + 8392 = $16400

1.) Scholarship - $1,000

Grant - $1,000

Student Loan - $4,500

Months - 42

Yearly = 42/12 = 3.5 years

Total support = 1000 + 1000 + 4500

= $6500

Savings = 16400 - 6500 = 9900

First year savings = 9900/3.5

= 2828.57 dollars

2. Scholarship - $6,000

Grant - $500

Student Loan - $4,500

Months - 24

Yearly = 24/12 = 2

Support = 4500 + 6000 + 500

= $11000

Savings = 16400 - 11000

= 5400 dollars

First year savings = 5400/2

= 2700 dollars

3.) Scholarship - $10,000

Grant - $2,000

Student Loan - $0

Months - 18

Yearly = 18/12 = 1.5

Support = 10000 + 2000 = $12000

Savings = 16400 - 12000

= 14400 dollars

First year savings = 4400/1.5

= 2933.33 dollars

4.) Scholarship - $3,000

Grant - $2,000

Student Loan - $4,500

Months - 39

Yearly = 39/12 = 3.25

Support = 3000 + 2000 + 4500

= 9500 dollars

Savings = 16400 - 9500 = $6900

First year savings = 6900/3.25

= $2123.08

The events that are mutually exclusive are Landing on a shaded sector and landing on the number three and Landing on an unshaded sector and landing on a number less than 2.

Mutually exclusive means that a combination of occurrences can never occur.

a) landing on a number greater than three while in a shaded area:

This is possible; for example, you could land in the 4.

b) landing in an even number on a dark sector.

Again, sector 4 is an even number and a shaded sector, thus these events do not conflict.

c) uncolored and odd number

This event is not mutually exclusive because you can land in the 3, which is unshaded and an odd number.

d) Landing on a shaded sector and landing on the number three

Because 3 is an unshaded sector, you can never land in 3 and a shaded sector at the same time; the two are mutually exclusive.

e) Landing on an unshaded sector with a number less than two.

Because 1 is the only integer smaller than 2, and sector 1 is darkened, these events are mutually exclusive.

Answer:

The ratio of the volume of cone to square pyramid is π or 3.14

Step-by-step explanation:

Given

Shapes: Cone and Square Pyramid

Diameter of the cone, d = 10 inches

Height of the cone, h = 12 inches

Height of the pyramid, h = 12 inches

Base edge of the pyramid, a = 5 inches

Required:

Ratio of the volume of cone to square pyramid.

First, we calculate the volume of each shapes

Volume of a cone is calculated as follows;

Volume = ⅓πr²h

Where r = radius = ½d

Recall that d = 10 inches

So, r = ½ * 10 inches

r = 5 inches.

Hence,

Volume = ⅓ * π * 5² * 12

Volume = ⅓ * π * 25 * 12

Volunteer = π * 25 * 4

Volume = 100π in³

Calculating Volume of the pyramid.

Volume = ⅓a²h

Recall that a = 5 and h = 12

So, Volume = ⅓ * 5² * 12

Volume = ⅓ * 25 * 12

Volume = 25 * 4

Volume = 100 in³

Now that both volumes have been calculated.

The ratio of the volume of cone to square pyramid is calculated by dividing the volume of the cone by the volume of the square pyramid.

Ratio = 100π ÷ 100

Ratio = π

Taking π as 3.14

Ratio = 3.14

Hence, the ratio of the volume of cone to square pyramid is π or 3.14

Answer:

Step-by-step explanation:

In the game, these are the payout:

To compute the expected value, take note that a loss is negative while a win is positive.

[tex]E(X)=\sum_{i=1}x_1P(x_1)[/tex]

Therefore:

E(X)=(-20*0.3)+(-40*0.2)+(50*0.1)+(5*0.4)

E(X)=-7

Answer:

1.  -5<-4

2. -13<-10 ( On horizonal x-axis -13 is on the left of -10)

3. 3/4<0.8

Answer:

41.9 units³

Step-by-step explanation:

(please see attached for reference)

The volume of a cone is given by:

V = (1/3) πr²h    where,

V = volume (we are asked to find this)

π = 3.142

r = radius = given as 2

h = height = given as 10

Substituting the known values into the above equation,

V = (1/3) πr²h

= (1/3) (3.142) (2²)(10)

= 41.893

= 41.9 units³  (nearest tenth)

Answer:

The answer is C.

Step-by-step explanation:

In order to find the value of expression, you first have to solve x by substracting 6 to both sides then divide it by 5 :

[tex]5x + 6 = 10[/tex]

[tex]5x + 6 - 6 = 10 - 6[/tex]

[tex]5x = 4[/tex]

[tex]5x \div 5 = 4 \div 5[/tex]

[tex]x = \frac{4}{5} [/tex]

Next, you have to substitute the value of x into the expression :

[tex]let \: x = \frac{4}{5} [/tex]

[tex]10x + 3[/tex]

[tex] = 10( \frac{4}{5} ) + 3[/tex]

[tex] = 8 + 3[/tex]

[tex] = 11[/tex]

Answer:

n + 1 = 24 million x 1.15

Step-by-step explanation:

The sales is increased 15 percent, so every year 24million is multiplyed with 1.15 to get the result... so yea

Question 2

Calculate the company’s sales in the year 2003.

Explanation: The formula to calculate sales in the nth year is an=24(1.15)n-1

2003 is the 8th year (i.e., n = 8), so:

a8=24(1.15)7

a8=63.84

Answer: Sales in 2003 were $63.84 million.

This is the answer on Edmentum I swear!

Answer:

I think the answer is 1/4

Step-by-step explanation:

Because you use the rise over run method to find slope.

Answer:

E (10)

Step-by-step explanation:

In a right triangle with the legs that have a factor of √2, and the factor is the same, then the hypotenuse of the same triangle is the side length * √2:

so 5√2 * √2 = 10

ANSWER: 10 or E

Answer:

6/32 or 3/16 will be the next fraction in the sequence

Answer:

B

Step-by-step explanation:

First you would look at the x coordinate which is 4. So on the x-axis you would find four. Next you would look at the y coordinate which is -2. Then you go on the y-axis and find -2. Finally, you would go to 4 on x-axis and go DOWN (since it is negative) 2 spots.

B point is located at (4, –2)

Coordinate geometry (or analytic geometry) is defined as the study of geometry using coordinate points. the usage of coordinate geometry, it is possible to find the distance between two points, divide lines in the m:n ratio, find the mid-point of a line, calculate the area of a triangle within the Cartesian plane, and so on.

Coordinate geometry is needed to provide a connection between algebra and geometry by using graphs of lines and curves. it is an important department of math and usually assists us in locating points in a plane. furthermore, it also has many uses in the fields of trigonometry, calculus, dimensional geometry, and greater.

Learn more about coordinate geometry here

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Answer: 18ft

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

  (5, -12)

Step-by-step explanation:

Put -12 in the equation for y and solve for x:

  -12 = -3x +3

  4 = x -1 . . . . . . . . divide by -3

  5 = x . . . . . . . . .  add 1

The solution to the system shown here is ...

  (x, y) = (5, -12)

__

This is confirmed by a graphing calculator.

__

None of the offered answer choices is correct.

Answer:

x > 1/2

Step-by-step explanation:

Answer:

8(59 1/4 x 1) -58 = 100

Step-by-step explanation:

This would simplify to x = -2 1/10  or x = 50/237

As 100/474 = -2 1/10 or -50/237

We balance the 8. then we balance the 50ml so that 100/424 = -25/106 = -2  4/10 so we see that 50ml minimum in the problem is required and this creates a 1/8 increase with each pump.

Proof is the difference of -2 1/10 to -2 4/10 = 1/8 increase in the resulting division of 474ml divided by 8ml

Answer:

The vertex form of a quadratic is given by

y = a(x – h)^2 + k, where (h, k) is the vertex. h may act as "x" in this case.

Step-by-step explanation:

The vertex form of a quadratic is given by

y = a(x – h)^2 + k, where (h, k) is the vertex.

You must simply get an equation in this format to find h and k.

The x value of the vertex in a parabola is found using the formula -b/(2a), which represents the x-coordinate of the vertex, a critical point that determines the parabola's maximum or minimum value.

The x value of the vertex in a parabola is a critical point that determines the maximum or minimum of the quadratic function. In a quadratic equation of the form f(x) = ax^2 + bx + c, the x-coordinate of the vertex can be found using the formula -b/(2a). This formula is derived from completing the square or using calculus to find the critical points of the function. Once you determine the x-coordinate of the vertex, you can substitute it back into the original equation to find the corresponding y-coordinate, giving you the full coordinates of the vertex of the parabola.

Answer:

x=4

Step-by-step explanation:Trust me

4x-7=9

4x-7+7=9+7

4x=16

4x/4 = 16/4

X=4

Answer: x = 4

Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is 4x.

To isolate 4x, we have to get rid of the -7 by adding

7 to both sides of the equation.

That leaves us with 4x = 16.

Now divide both sides by 4 to find that x = 4.

Answer:

[tex](\sqrt{15} )(\sqrt{15})=15[/tex]

Step-by-step explanation:

[tex](\sqrt{15} )(\sqrt{15})=15[/tex]

[tex]\sqrt{15} =3.87298334621\\\\(3.87298334621)*(3.87298334621)=15\\[/tex]

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points . . .

Step-by-step explanation:

⋆✨Answered By Cartier✨⋆

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Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points . . .

Step-by-step explanation:

Answer:

-100

Step-by-step explanation:

If you want to solve for s make the equation= 0

3(s+100)/4 = 0

Answer:

=94.985m²

Step-by-step explanation:

Area = πr²

π=3.14

r=5.5

-

  Find the radius,

         11/2=r

          r=5.5

-

Area=

3.14x 5.5x 5.5

3.14x30.25

=94.985m²

Answer:

0.33....(1/3

Step-by-step explanation:

-3/-3*-3

-3/9

-0.33..