There are 1,024 players in a tennis tournament. In each round, half the players are eliminated. Which can be used to find the number of players remaining in the tournament at the end of x rounds?

Answer:

114.29

Step-by-step explanation:

The given inequality is

To find the solution set, first, we graph the line x + y = 3.

Then, we evaluate the point (0,0) in the inequality

Given that 0 is not greater than 3, we deduct that the solution set is above the line.

Hence, the solution is all points above the line. The blue area represents all the solutions.

The nearest kilometers to 999.09344471 km is 1000 km.

Given value is 999.09344471 Km.

We have to calculate the round off value to the nearest kilometers. we know that after the decimal if the value of tenth place is 5 or bigger than 5 then we add 1 to the tens place digit, this is the fundamental rule of rounding off.

Now on following this rule from the very right hand side up to the tenth place digit we come to the conclusion that only  the value after the decimal (934) is to be rounded off which is (900).

So 999.09344471 km is finally becomes 999.900 km after rounding of to nearest hundredth value.

Again rounding off 999.900 km to nearest km so it becomes 1000 km.

The nearest kilometers to 999.09344471 km is 1000 km.

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Answer:

Fruit Vendor B is the better buy

Step-by-step explanation:

Fruit Vendor A = 12/7

=1.71

This means fruit Vendor A is charging $1.71 per orange

Fruit Vendor B = 5/3

=1.67

THis means fruit vendor B is charging $1.67 per orange

This makes fruit vendor B the better buy

Answer:

(20 + 18 ÷ 3^2 ) – 6

=16

Answer:

16

Step-by-step explanation:

(20+18/3^2)-6        Simplify the exponent

(20+18/9)-6           Divide within the parenthesis

(20+2)-6                Add within the parenthesis

22-6                      Subtract

16

Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.

The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).

According to the problem, the total interest earned after one year is $519. So we can set up the equation:

0.11x + 0.07(6500 - x) = 519

Simplifying the equation:

0.11x + 455 - 0.07x = 519

0.04x + 455 = 519

0.04x = 64

x = 64 / 0.04

x = 1600

Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

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Answer:

372

Step-by-step explanation:

1 sec=31 feet

10 sec=310 feet

12 sec=372 feet

Answer:

\(1017.4ft^{2}\)

Step-by-step explanation:

Area of a circle = \(\pi r^{2}\)

However, the question wants to use 3.14 instead of \(\pi\).

Since the radius is given, which is 18 feet, we can plug and chug.

\(A = 3.14*(18ft)^{2} \\A = 3.14*324ft^{2}\\A = 1017.36ft^{2}\)

However, the question wants us to round it to the nearest tenth.

Therefore, the answer is \(1017.4ft^{2}\)

The probability distribution of Y = X mod (4) is: 3/10, 3/10, 2/10, 2/10 and the probability distribution of Y = 6 mod (X + 1) is: 1/10, 1/10, 2/10, 1/10, 2/10, 2/10 , 1/10.

The probability distribution of Y = X mod (4) can be found as follows:

Y = 0, when X = 0, 4, 8

Y = 1, when X = 1, 5, 9

Y = 2, when X = 2, 6

Y = 3, when X = 3, 7

So, the probability distribution of Y = X mod (4) is:

Y = 0, P(Y = 0) = 3/10

Y = 1, P(Y = 1) = 3/10

Y = 2, P(Y = 2) = 2/10

Y = 3, P(Y = 3) = 2/10

The probability distribution of Y = 6 mod (X + 1) can be found as follows:

Y = 0, when X = 5

Y = 1, when X = 0

Y = 2, when X = 1, 6

Y = 3, when X = 2

Y = 4, when X = 3, 7

Y = 5, when X = 4, 8

Y = 6, when X = 9

So, the probability distribution of Y = 6 mod (X + 1) is:

Y = 0, P(Y = 0) = 1/10

Y = 1, P(Y = 1) = 1/10

Y = 2, P(Y = 2) = 2/10

Y = 3, P(Y = 3) = 1/10

Y = 4, P(Y = 4) = 2/10

Y = 5, P(Y = 5) = 2/10

Y = 6, P(Y = 6) = 1/10

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Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

The probability that either event A or B will occur is 43/60

Using the parameters given

n(A) = 29

n(B) = 14

Total number of events = 29+17+14 = 60

The probability of each event :

P(A) = 29/60

P(B) = 14/60

P(A or B ) = P(A) + P(B)

P(A or B ) = 29/60 + 14/60

P(A or B ) = 43/60

Therefore, the probability of A or B is 43/60

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Answer:

1. x  =  − 7  +  2 y

2. x  =  1  −  2 y /3

Step-by-step explanation:

Answer:   [1]    x + 2y = 7

  [2]    3x - 2y = -3

The number of different combinations that are possible for Nick, given his baseball hats are A. 4 combinations.

Nick has two options for hats, and two options for sweatshirts/sweaters. To find the number of combinations, we can multiply the number of options for each item.

There are two baseball hats and two clothes - sweatshirt and sweater.

The number of combinations is:

= 2 (hats) x 2 (sweatshirts/sweaters)

= 4 combinations

In conclusion, as regards the number of combinations that Nick can make, there are four.

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Answer:

C

Step-by-step explanation:

Tyler, because his money is increasing exponentially.

I finished taking the test and got it right :)

The person who will have more money by year 20 is given by: Option C: Tyler, because his money is increasing exponentially

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.

For example, \(y = a.b^x\) , where a is a and b are constants is an exponential function.

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

\(I = \dfrac{P \times R \times T}{100}\)

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

\(CI = P(1 +\dfrac{R}{100})^T - P\)

The final amount becomes:

\(A = CI + P\\A = P(1 +\dfrac{R}{100})^T\)

Usually these two rates are used on money. The compound interest is exponential as it has power T as a variable, but for simple interest, there is no variable exponent.

Both are positive, and growth of exponential function is always going to surpass the growth of linear function (can be proven by derivatives).

Since we are not given the function's equation, we cannot correctly calculate the value just from graph, but as in 14 years, the blue line is already close to red line so it will likely cross it after 6 more years (thus total 20 years) because of good growth.

Thus, the person who will have more money by year 20 is given by: Option C: Tyler, because his money is increasing exponentially

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The solutions for the given equations are x = 9i , -9i , x = 2i,-2i ,

x = \(\sqrt{13}\) , -  \(\sqrt{13}\) , x = \(\sqrt{14}\)i , - \(\sqrt{14}\)i .

Given equations ,

\(x^{2}\) + 81 = 0  ,\(x^{2}\)-22 = -26 , 3\(x^{2}\)-18=21 ,2\(x^{2}\) +15 = -13

What is Quadratic equation ?

quadratic equation can be defined as the equation which is in the form of a\(x^{2}\)+bx + c = 0 .

where a,b,c are constants .

By solving we get ,

\(x^{2}\) +81 = 0

\(x^{2}\) = -81

x = 9i , -9i

\(x^{2}\) - 22 = -26

\(x^{2}\) = -26 + 22

\(x^{2}\) = -4

x = 2i,-2i

3\(x^{2}\) - 18 = 21

3\(x^{2}\) = 18+21

3\(x^{2}\) = 39

\(x^{2}\) = 13

x = \(\sqrt{13}\) , -  \(\sqrt{13}\)

2\(x^{2}\) +15 = -13

2\(x^{2}\)  = -13-15

2\(x^{2}\)  = -28

\(x^{2}\)  = -14

x = \(\sqrt{14}\)i , - \(\sqrt{14}\)i

Hence the solutions for the given equations are x = 9i , -9i , x = 2i,-2i ,

x = \(\sqrt{13}\) , -  \(\sqrt{13}\) , x = \(\sqrt{14}\)i , - \(\sqrt{14}\)i .

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Answer:x=13

Step-by-step explanation:

Since they are both corresponding angles you can create the equation

5x+21=86

Subtract 21 from each side

5x=65

Divide each side by 5

X=13

Answer:A

Step-by-step explanation:

To find the rate of decay, we need to use the formula A(t) = P(0.82)^t, where A(t) is the amount after t years, P is the initial amount, and 0.82 is the decay factor.

The decay factor is equal to 1 minus the decay rate, so we can solve for the decay rate as follows:

0.82 = 1 - r

r = 1 - 0.82

r = 0.18

Therefore, the rate of decay is 18%, which corresponds to answer choice A.

Answer:

A

Step-by-step explanation:

a. 65 is the median

b. 61.16 or 66.42

c. 2 modes and its 6

explanation step by step

A.) you need to arrange it first lowest to highest : 52, 56, 57, 65, 65, 72, 98

B. add all the numbers and divided by how many are them. as you see there is 2 answers in it, the lowest one is I didn't add the outliner and the high one is outliner is added 98

C. look at the same number.(twice, triple etc)

Answer:

yes agreed

Step-by-step explanation:

a+a=2a

b+b=2b

=2a+2b

Answer:

10110

Step-by-step explanation:

11011

- 101

10110

1+1=2 u put 0 and carry 2

1+1=2 u put 1 and carry 2

And you keep going like that

11011 - 101 = 10110 (putting the zero in front does not matter)

Base two only accommodate 1's and 0's. Base two are called binary.

Check the picture below

Note 10 - 1 in binary equals 1

when we borrow to 1, that zero becomes 10, then 10 minus 1 equals 1.

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The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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Answer:

46 fluids

Step-by-step explanation:

Answer:

The value is \(P( O \ and \ A ) = 0.583\)

Step-by-step explanation:

From the question we are told that

   The  number of apples is  \(A = 7\)

   The  number of oranges is  \(R = 5\)

Generally the probability that the bowl will be empty after the last apple  is taken from the box is mathematically represented as

  The probability that  5 oranges   and 7 apples are drawn in the 1st 11 draws

So

      \(P( O \ and \ A ) = \frac{(^5 C_5) * (^7 C_6) }{^{12} C_{11}}\)

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

      \(P( O \ and \ A ) = \frac{(1 * 7 )}{12}\)

=> \(P( O \ and \ A ) = 0.583\)

Answer: x = -20

▬▬▬▬▬▬▬

\(7-7(x)-7=147-7\\-7(x)=140\\= \frac{-7x}{-7}=\frac{140}{-7}\\=-20\\= x = -20\)

▬▬▬▬▬▬▬

Answer Explained:

Using phrases such as subtracted, times, a number, we make an equation using the integers in the equation, and make a variable for the unknown number, x. We then subtracted 7 from both sides, and for the division, substituted 7 as absolute number, |-7|.

Therefore,

7 - 7 × -20 = 147

Answer: outlier

Step-by-step explanation:

It is way lower than the rest of the data.

Answer:

Outlier

Step-by-step explanation:

An outlier is a number that lies significantly out of the range of all the other numbers.

I also took the quiz, and this was correct.

Answer:

B, C, G

Step-by-step explanation:

If we look at the graph, it shows that if an employee works for 5 hours, then they will earn $36.25.

We can take 36.25 and divide that by 5 to get the hourly wage.

36.25 ÷ 5 = 7.25

We now know that employees get $7.25 every hour.

Using this we can look back to the graph.

'A' says that if an employee does not work, they will earn $7.25.

We know that this is wrong because if you do not work, then you do not earn money.

Let's look at 'B'.

If employees work for one hour, they will earn $7.25

We know this is correct because we now know the hourly wage.

Let's look at 'C'

If employees work for 4 hours, then they will get a revenue of $29.

We can figure this out by using this equation.

number of hours × hourly wage = total payment

4 × 7.25 = 29

Then this means that this is correct.

Let's look at 'D'

It says that if employees work for 10 hours, they will earn $73

Let's use that same equation again.

10 × 7.25 = 72.5

Employees earn $72.5 for working 10 hours, not $73.

So, this is obviously incorrect.

Let's look at 'E'

It says that if employees work for 3.5 hours, they will get a revenue of $21.75.

3.5 × 7.25 = 25.375

Therefore, this is incorrect.

Now let's take a look at 'F'.

It says that if employees work for 7.25 hours, then they earn $1.

This is incorrect.

And lastly, 'G'.

We know that if you do not work, then you do not earn money.

Therefore, A, B and G are the correct answers.

Answer:

\(x = 45\)

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have that x and 3x are on a straight line

and angle on a straight line sum up to 180

In other words:

\(x + 3x = 180\)

\(4x = 180\)

Divide through by 4

\(\frac{4x}{4} = \frac{180}{4}\)

\(x = \frac{180}{4}\)

\(x = 45\)

Hence, the measure of x is 45 degrees

Answer:

The answer is 4. I took the quiz.

Step-by-step explanation: