A huge Ping-Pong tournament is held in Beijing with 65,536 participants at the start of the tournament. Each round of
the tournament eliminates half the participants.
a.
If p(r) represents the number of participants remaining after r rounds of play, write a formula to model the
number of participants remaining.

Answer:

x<1

Step-by-step explanation:

You would just subtract 5 from both sides of the equation. The sign does not flip because you are not multiplying or dividing any negative number across the sign.  So simply x+5 (-5) < 6 (-5). On the left side the 5 would cancel out.  on the other side 6-5 is equal to 1.

Answer:  x<1

Answer: x < 1

Step-by-step explanation: x + 5 < 6

Subtract 5 from both sides,

x < 1

Answer:

12.5 years = 216 months

Step-by-step explanation:

4% of 2000= $80

1000/80=12.5

It will take 12.5 years to make $1000 on its own without adding additonal funds.

Answer:

280 cups total.  

Step-by-step explanation:

Tricky.  The explanation and answers are on attached images.

Answer:

[tex]884^{-7}[/tex]

Step-by-step explanation:

Start by simplifying the denominator of the fraction. When multiplying exponents of the same base, you can add the exponents. This is also known as the product rule.

[tex]a^x\cdot a^y=a^{x+y}[/tex]

["a" is the base, and "x" and "y" are the exponents]

Using this we find...

[tex]884^{58}\cdot884^{46}=884^{58+46}=884^{104}[/tex]

When dividing exponents of the same base, you can subtract the exponents. This is also knows as the quotient rule.

[tex]a^x\div a^y=a^{x-y}[/tex]

Using this we find...

[tex]\frac{884^{97}}{884^{104}}=884^{97-104}=884^{-7}[/tex]

Answer:

[tex]884^{-7[/tex]

Step-by-step explanation:

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Before we begin solving, let's review a few rules of exponents.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Answer:

c

Step-by-step explanation:

It all adds up. Ex; 2*2=4   4-3=1

and continues through the rest of the table

Answer:

No, 20 ≠ -10

Step-by-step explanation:

20 = (-10) = (-20)+10

20≠-10=-20+10

20≠-10=-10

Answer: 17.320508075689

Step-by-step explanation:

Answer: 53

Step-by-step explanation:

Answer:

347 and 865

Step-by-step explanation:

Let the two number be x and y

Therefore, from the given information:

x + y = 1212

x - y = 518

Rewrite both equations to make x the subject:

x = 1212 - y

x = 518 + y

Equate equations and solve for y:

1212 - y = 518 + y

     694 = 2y

         y = 347

Substitute found value of y into one of the equations and solve for x:

x = 518 + 347

x = 865

Therefore, the two numbers are 347 and 865

[tex]\large\sf\underline{ANSWER:}[/tex]

√3

x is the length of the third side

x²+1² = 2² { Pythagorean Theorem}

x²+1 = 4 {Simplify}

x²=3 {Subtract 1 from each side}

x=√3 {Take the square root of each side}

The Length of the third side is √3

#[tex]\large\sf\underline{CarryOnLearning}[/tex]

Answer:

the answer is the first one

Step-by-step explanation:

because

Answer

c                                                  hope it helps

Answer:

20

Step-by-step explanation:

Given:

Lisa is checking out at the bookstore.

Each book (b) costs $1.50 and she has a $5 off coupon she can use.

She wants to spend $25 or less in the bookstore.

Solve:

Since there is a $5 off coupon..

$1.5b - $5.00<=$25.00

$1.5b<= $30.00

$1.5b/1.5 = $30.00/1.5

b=20

Lisa can buy 20 book.

~lenvy~

the answer to 13 3/5% as a decimal

0.136

Answer:

Step-by-step explanation:

Factoring out means taking out a Number, or an unknown quantity.

So, Factor out 1/2:

New equation with old step by step:

Step 1:

Step 2:

New equation:

Answer: 41

Step-by-step explanation:

Answer:

This is true

Step-by-step explanation:

Answer:

n = 6

Step-by-step explanation:

Let's convert the x and y values into (x,y) form.

(x, y) ⇒ (3, 5), (4, 7), (n, 11), (8, 15)

Now, let's find the rule in slope intercept form. To find the equation in slope intercept form, pick any two points. Then find the slope of the line.

⇒ (3, 5) and (4, 7)

Now, find the slope using the slope formula.

[tex]\dfrac{y_{2} - y_1}{x_2 - x_1} = \text{Slope}[/tex]

[tex]\rightarrow \dfrac{7 - 5}{4 - 3} = \text{Slope}[/tex]

[tex]\rightarrow \dfrac{2}{1} = 2 =\text{Slope}[/tex]

Now, let's use point slope form to find the equation in slope intercept form.

[tex]y - 5 = 2(x - 3)[/tex]

[tex]\rightarrow y - 5 = 2x - 6[/tex]

[tex]\rightarrow y = 2x - 1 \ \ \ \ \ (\text{Rule})[/tex]

Now, substitute the value of y into the equation.

[tex]11 = 2x - 1[/tex]

[tex]\rightarrow 12 = 2x[/tex]

[tex]\rightarrow \boxed{x = n = 6}[/tex]

Take two points find equation

Slope:-

Equation in point slope form

Now put n

Answer:

#2 mean is 90.3846154 and range is 40

#3 mean 91.9230769 and range is 20

(you might have mixed the second and third graph up)

Step-by-step explanation:

Answer:

48%

Step-by-step explanation:

there are 250 cars in total 50+70 is 120 (the red  or blue cars)

so there are 120 "yes" out of 250 total of 120 divided by 250 equal 0.48 or 48%

Answer:

27

Step-by-step explanation:

we know that 4 multiplied with something is 36

=>     4x = 36

=>     x = 36/4

=>     x = 9

so we have to multiply 3 with 9

=>     3*9 = 27

Answer:

150

Step-by-step explanation:

$600/$4 =150

=150 installments

Answer:

answer down below

Step-by-step explanation:

it would be 315

Answer:

13 hours

Step-by-step explanation:

567/9=63

she drives 63mph

it will take her 13 hours to drive

Answer:

Step-by-step explanation:

Radius = circumference / 2π

= 43.96 / 2π

= 7.00 yards to the nearest hundredth.

Answer:

She can make 2 groups of six, with five cookies remaining

Step-by-step explanation:

First, divide 17 by 6 to get 2 5/6. The whole number is the number of groups she can make, and the fraction is how many are left over. She can make two groups, with five left over.

Hopefully this helps - let me know if you have any questions!

Answer:

2 groups with 5 left over.

Step-by-step explanation:

to solve, take 17 and divide it by 2. since we only have 17 cookies, we round down no matter what. to get the left over, multiply 2 by 6, then subtract by 17.

please mark as brainlest.

Answer:

I dont know if this is the right answer, but my best guess is that it is A.

Step-by-step explanation:

The rate of change of the function that represents André's cost for renting a car over the course of a year $8.50 per hour.

The rate of change is the cost by which the cost of renting the car increases by. The cost of renting the car increases by $8.50 per hour.

The annual fee can be described as the fixed cost of renting the car per year.

To learn more about fixed cost, please check: https://brainly.com/question/25879561

Answer: If you need help on both here are both answers.... Answer 1- f(x)=6.50x+48.00 because Let

x ----> the number of adult tickets

f(x) ----> amount of money collected

To find the amount collected multiply the number of adult tickets by the cost and multiply the number of student tickets  by the cost, and then sum the two quantities

The linear equation that represents this problem is

f(x)=6.50x+4.00(12)

f(x)=6.50x+48.00

and for Answer 2- Is 4

Answer:

  D.  x = -5

Step-by-step explanation:

The square root function is only defined for non-negative arguments. For the function ...

  [tex]g(x)=\sqrt{x+4}[/tex]

this means we must have ...

  x +4 ≥ 0

  x ≥ -4 . . . . . . subtract 4 from both sides

All of the numbers on your answer choice list are more than -4 except -5.

  x = -5 is not in the domain of g(x)

#1

Area:-

#2

Area:-

#3

Area of the white part=Area of circle-Area of square

#4

Probability

#5

Probability

Answer:

1. 63.62 in².

2. 16 in².

3. 47.62 in².

4. 0.25 .

5. 0.74 .

Step-by-step explanation:

1.

Solution,

Given,

Diameter = 9 inch.

Now,

Area = πr²

Diameter = r²

Then,

Area = 1/4 πd²

= 1/4 π9²

= 63.62 in².

2.

Solution,

Given,

Length of a Side = 4 inch.

Now,

Area = L²

= 4²

= 16 in².

3.

Solution,

Given,

Area of the Circle = 63.62 in².

Area of the Square = 16 in².

Now,

Area of The White Part of the Circle = Area of Circle - Area of Square

= 63.62 in² - 16 in².

= 47.62 in².

4.

Solution,

Given,

Area of the Square = 16 in².

Area of the Circle = 63.62 in².

Now,

The probability of landing in the Square = Square Area / Circle Area

= 16 / 63.62

= 0.25 .

5.

Solution,

Given,

White Part of the Circle = 47.62 in².

Area of the Circle = 63.62 in².

Now,

The probability of landing in the white Part = White Area / Circle Area.

= 47.62 / 63.62

= 0.74 .