Of the 10 contestants in a televised quiz competition, 2 were eliminated during this week's show, and 2 more will be eliminated during next week's show
How many groups of 6 remaining contestants are possible a week from now? Assume that the show airs on the same day every week.
28
210
20,160
151,200

Answer:

3.5cm

Step-by-step explanation:

[tex]C = 22cm\\r = ?\\\\C = 2\pi r\\\\r = \frac{C}{2\pi} \\\\r = \frac{22}{2(3.14)}\\ \\r = \frac{22}{6.28} \\\\r = 3.5[/tex]

Answer:

y > 2x - 4

Step-by-step explanation:

Step 1: Write out inequality

4x - 2y < 8

Step 2: Subtract 4x on both sides

-2y < -4x + 8

Step 3: Divide both sides by -2

y > 2x - 4

Answer: 258

Step-by-step explanation: 270-12=w

The width of the wall is 9 feet and length is 30 feet.

The perimeter of a rectangle is the sum of all the sides.

According to the given question the area of a rectangular wall of a barn is 270 square feet. It’s length is 12 feet longer than twice it’s width.

Assuming the width of the rectangular wall to be x feet.

∴ From the given data length is 2x + 12 feet.

We know area of a rectangle is product of it's length and width.

So, { x × ( 2x + 12 ) } = 270.

2x² + 12x = 270.

2x² + 12x - 270 = 0

x² + 6x - 135 = 0

x² + 15x - 9x - 135 = 0

x(x + 15) - 9(x + 15) = 0

( x + 15 ) = 0 OR ( x+ 9 ) = 0

∴ x = -15 OR x = 9.          ( we know length can note be negative )

So, Width of the rectangle is 9 feet and length is 30 feet.

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Answer:

b

Step-by-step explanation:

b is the answer

the range is all real number

-3.2(-5.6)(4)

= -3.2 - 5.6 x 4

= -3.2 - 22.4

= -25.6

Answer: B and C

explanation: The volume of solids are expressed in cubic measurements such as cubic centimeters (cm^3) or cubic meters (m^3).

Answer:

a = -41 +30n

52nd term is

a52 = -41 + 30(52)

a52 = -41 + 1560

a52 = 1519

Answer:

The radius of the volleyball is 8.3 inches

Step-by-step explanation:

Given

[tex]r = \sqrt{\frac{3v}{4\pi}}[/tex]

[tex]v = 288[/tex]

Required

Determine the value of r

To do this, we simply substitute 288 for v and 3.14 for π in the given equation.

This gives

[tex]r = \sqrt{\frac{3v}{4\pi}}[/tex]

[tex]r = \sqrt{\frac{3 * 288}{4 * 3.14}}[/tex]

[tex]r = \sqrt{\frac{864}{12.56}}[/tex]

[tex]r = \sqrt{68.7898089172}[/tex]

[tex]r = 8.29396219651[/tex]

[tex]r = 8.3\ inch[/tex] (Approximated)

Hence;

The radius of the volleyball is 8.3 inches

Answer: 4.1 inches

Step-by-step explanation:

Answer:

total no of cars =57

Cars which are not boxcars =57-23=34

23/34×57=1339/34

x=-5 ___________________

The question is an illustration of linear equation, and the solution to the linear equation is x = -5

The equation is given as:

[tex]\frac 23x - \frac 12 = \frac 13 + \frac 56x[/tex]

Multiply through by 6

4x - 3 = 2 + 5x

Collect like terms

4x - 5x = 2 + 3

Evaluate the like terms

-x = 5

Divide both sides by -1

x = -5

Hence, the solution to the linear equation is x = -5

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Answer: D

Step-by-step explanation: becasue i did it

Through my trials and tribulations I have decided that the answer is.

Y E S

Answer:

the sum of 6+6 is 12

Step-by-step explanation:

so the sum of the number 6+6 is 12 plz like and rate

Answer:

Week 4

Step-by-step explanation:

Ben has $250 in the beginning.  He saves $150 per week.

y = 150x + 250

Tim has $1,650 in the beginning.  He spends $200 per week.

y = 1650 - 200x

We are trying to find which x-value produces the same y-value for both equations.  You can do this by setting both equations equal to each other.

150x + 250 = 1650 - 200x

(150x + 250) + 200x = (1650 - 200x) + 200x

350x + 250 = 1650

(350x + 250) - 250 = (1650) - 250

350x = 1400

(350x)/350 = (1400)/350

x = 4

By week 4, they will have the same amount of money.

Answer: 9.42 cm.

Step-by-step explanation:

Length of arc is given by :-

[tex]l= \dfrac{x}{360}\times2\pi r[/tex] , where r= radius and x= central angle subtended by arc.

As per given , we have

[tex]x=30^{\circ}\\\\ r=18\ cm[/tex]

Then, the length of arc will be :

[tex]l=\dfrac{30}{360}\times2(3.14)(18)\\\\=\dfrac{1}{12}\times113.04\\\\=9.42\ cm[/tex]

Hence, the length of arc is 9.42 cm.

The length of an arc of a circle with radius 18cm is; L = 9.426cm

The length of an arc can be evaluated using the formula;

Hence, the length of the given arc is;

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Combine the same numbers and do the opposite of either subtraction or addition.

Then, multiply or divide with the coefficient.

Answer:

see below

Step-by-step explanation:

⇒  7x - 17 = 4x + 1

combine like terms

7x - 4x = 1 + 17

3x = 18

x = 18/3

x = 6

⇒  -x + 5 = x - 11

combine like terms

- x - x = - 11 - 5

-2x = -16

x = 16 / 2

x = 8

⇒  5x + 8 = 7x + 2

combine like terms

5x - 7x = 2 - 8

- 2x = - 6

x = 6 / 2

x = 3

Answer: $9,000,000

Step-by-step explanation:

Probability is simply defined as the chance or likelihood that an event is going to happen or occur.

The probability that script 1 will be a success, but its sequel will not is the success of script 1 added to the failure of its sequel.

The total payoff will simply be the sum of the individual layoffs of both the success and the failure. This will be:

= $10,000,000 + (- $1,000,000)

= $10,000,000 - $1,000,000

= $9,000,000

Using conditional probability, it is found that there is a 0.14 = 14% probability that script 1 will be a success, but its sequel will not.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

In this question:

Then:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(A)P(B|A)[/tex]

[tex]P(A \cap B) = 0.7(0.2)[/tex]

[tex]P(A \cap B) = 0.14[/tex]

0.14 = 14% probability that script 1 will be a success, but its sequel will not.

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Answer:

D) 60=(x+45)

Step-by-step explanation:

D.  Since the two are equal, you need to put the two on opposite sides of the equation.  The equation doesn’t involve 90 or 180 degrees, so no reason to have them.  

Solving for x this way, you’d get 15, which is correct.

Answer:

-3

Step-by-step explanation:

27-30

Answer:

-3

Step-by-step explanation:

3³-5(6)

3*3*3-30

27-30

-3

Answer:

5,600

Step-by-step explanation:

i used calculator.

Answer:

congrats you just found 118,222.36 pounds of pennies worth $134,061.9

you should buy a house or car with 59 tons of pennies

Answer:

y= -12x+63/4

Step-by-step explanation:

16x + 4/3 y = 21

4/3 y =21-16x

4y=3(21-16x)

4y=63-48x

y=63/4-48/4 x

y=-12x+63/4

Answer:

x= -1, x=4

Step-by-step explanation:

5x²-15x-20

5x²-20x+5x-20=0

5x(x-4) +5(x-4)

(5x+5) (x-4) =0

5x=-5 or x=4

x= -5/5. or x=4

x= -1 or x=4

The answer to your questions is x8/15. Hope this helps!

Answer:

Step-by-step explanation: 12 ur welcome

Speed is Distance traveled/time, then 12 kilometer per min is the cruising speed of airplane when airplane cruises 1 kilometer in 1 12 of a minute.

Speed=Distance traveled/time

An airplane cruises 1 kilometer in 1 12 of a minute. We need to find the speed.

Given distance=1 km

time=1/12 min

We need to find speed.

Speed=Distance traveled/time

=1/(1/12)

=1*12/1

=12kilometerperminute

Therefore 12 kilometer per meter is the speed required.

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Answer:you need to multiply it by 4.

Step-by-step explanation:

If the number is multiplied by 4 it square root is effectively doubled.

Example: if you take the square root of 64, its 8.

to double the square root, you multiply 64 by 4---> 256.

And the square root of 256, is 16, double that of the square root of 64.

Answer:

term

Step-by-step explanation:

term is a constant, variable, or the product of a constant and variables.

Term

An algebraic expression is one that is obtained by performing a finite number of algebraic operations on symbols that represent numbers.

An algebraic expression that is a number, a variable, or a product or quotient of numbers and variables is known as a term.

So,

A term is a constant, variable, or the product of a constant and variables.

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Answer:

So the way to  express a vector( [tex]v =  2i - 2j - 2k[/tex]) as a product of its length and direction is

        [tex]v  =    |v| u =  \sqrt{12} (\frac{2}{ \sqrt{12} } , -\frac{2}{ \sqrt{12} }, - \frac{2}{ \sqrt{12} })[/tex]

Step-by-step explanation:

Generally a vector  is  expressed as a product of its length and direction using the formula below  

           [tex]v  =  |v|\cdot u[/tex]

Here v is the vector

        |v| is its magnitude (length)

         u is its unit vector (direction)

Now let take an example

Let  

     [tex]v =  2i - 2j - 2k[/tex]

The magnitude is mathematically evaluated as

          [tex]|v| =  \sqrt{ 2^2  + (-2)^2 +  (-2)^2 }[/tex]

         [tex]|v| =  \sqrt{12}[/tex]

The unit vector is mathematically represented as

        [tex]u  =  \frac{v}{|v|}[/tex]

        [tex]u  =  \frac{ <2 , -2 , -2>}{\sqrt{12} }[/tex]

    [tex]u =  \frac{2}{ \sqrt{12} } , -\frac{2}{ \sqrt{12} }, - \frac{2}{ \sqrt{12} }[/tex]

So

    [tex]v  =    |v| u =  \sqrt{12} (\frac{2}{ \sqrt{12} } , -\frac{2}{ \sqrt{12} }, - \frac{2}{ \sqrt{12} })[/tex]