The men's U.S. Open tennis tournament is held annually in Flushing Meadow in New York City. In the first round of the tournament, 64 matches are played. In each successive round, the number of matches played decreases by one half.
Find a rule for the number of matches played in the nth round. For what values of n does your rule make sense?

a. The areas of the square is 81m² and for rectangle is 72m²

b. The perimeter of the square is 40m

a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.

For a square;

Perimeter of square = 4L

36 = 4L

L = 9m

The area of the square will be L² = 9² = 81m²

For a rectangle;

The perimeter of rectangle is;

P = 2(L + W)

We can assume that two numbers which will represent the length and width are;

L = 12m, W = 6m or L = 6m, W = 12m

A = 12 * 6 = 72m²

b.

The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;

Perimeter of square = 4L

Area of square = L² = 100m²

L = 10m

The perimeter of the wire is 4(10) = 40m

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Answer:

The greatest four-digit number that is divisible by 6 is 9996

Step-by-step explanation:

9,996 / 6 = 1,666

The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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The sum of the following figures = 800

To round up each decimal to the nearest hundred,

428.1 = 400

186.5 = 200

210.62 = 200

Note:

Therefore, the sum of  400 + 200 + 200 = 800

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Null hypothesis: The mean number of points scored by the taller team is not significantly different from the population mean of 72.

Alternative hypothesis: The mean number of points scored by the taller team is significantly greater than the population mean of 72.

Since the population variance is unknown, we will use a t-test. The degrees of freedom for this test will be 9 (n-1), where n is the sample size of the taller team (10).

Using an alpha level of 0.05 and 9 degrees of freedom, the critical t-value is 1.833.

To calculate the test statistic, we first need to find the sample mean and standard deviation of the taller team's scores. The sample mean is 82, and the sample standard deviation is 9.89. Using these values, we can calculate the t-value:

t = (82-72) / (9.89 / sqrt(10)) = 3.19

Since the calculated t-value (3.19) is greater than the critical t-value (1.833), we reject the null hypothesis and conclude that there is a significant difference between the mean number of points scored by the taller team and the population mean of 72. The coach can therefore conclude that having a taller team does result in a greater number of points scored.

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Answer:

$230

Step-by-step explanation:

100%-20%=80%

80%=184

1%=184÷80=2.3

100%=2.3x100=$230

Hope this helps! Thanks.

Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

Answer:

A

Step-by-step explanation:

the domain is the values of x covered by the graph

on the left the graph → - ∞

on the right the graph tends to + ∞

there are no excluded values of x on the domain , so

domain is - ∞ < x < ∞

Answer: $36

Explanation: Find the unit rate and then multiply by 9. Unit rate is 4.

The number of lawns that can be mowed in 27 hours is 45 lawns.

Ratio of lawns to hours mowed

15 : 9 = x : 27

15/9 = x/27

15 × 27 = 9 × x

405 = 9x

x = 405 / 9

x = 45 lawns

Therefore, the number of lawns that can be mowed in 27 hours is 45 lawns.

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The rate of the lawns moved per hour is 3/5

45 lawns can be mowed in 27 hours

It took 9 hours to mow 15 lawns

The number of lawns mowed in 27 hours can be calculated as follows

9= 15

x= 1

cross multiply

15x= 9

x= 9/15

x= 3/5

It will take 3/5 hours to mow one lawn

The number of lawns that can be mowed in 27 hours can be calculated as follows

3/5 hours= 1 lawn

27= y

3/5y= 27

y= 27 ÷ 3/5

y= 27 × 5/3

y= 9×5

y= 45

Hence 45 lawns can be mowed in 27 hours

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The course of the airplane relative to true north is 094°, and the ground speed is 344.2 km/h.

The horizontal and vertical component of the airspeed is calculated as follows;

Vx = 300 cos(30) = 259.8 km/h

Vy = 300 x sin(30) = 150 km/h

The horizontal and vertical component of the wind velocity is calculated as follows;

Vx = 50 cos(60) = 25 km/h

Vy = 50 sin(60) = 43.3 km/h

To find the resultant velocity, we can add the x and y components separately:

Vx = 259.8 km/h  +  25 km/h = 284.8 km/h

Vy = 150 km/h  +  43.3 km/h  = 193.3 km/h

The magnitude of the resultant velocity is calculated as;

V = √(284.8² + 193.3²)

V = 344.2 km/h

The direction of the resultant velocity is calculated as;

θ = arc tan (193.3/284.8)

θ = 34.2⁰

The resultant direction to true north is calculated as;

track = 34.2 + 60 = 94.2°

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Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

Answer:

(3, -1)

Step-by-step explanation:

Answer:

it's

-21

or 12

which one you mean

Answer:

least to greatest:

2/5, 1/2, 6/10

Step-by-step explanation:

hope this helped!!

Answer:

2/5, 1/2, 6/10

Step-by-step explanation:

Turn them all into 10ths:

1/2 times top and bottom by 5 to get 5/10

2/5 times top and bottom by 2 to get 4/10

The order is now clear

4/10, 5/10, 6/10 so the answer is 2/5, 1/2, 6/10

The number 1234567 cannot be written as a sum of two squares.

Let q = x^2+y^2,

Let a and b be two even numbers, such that

a= 2x and b = 2y

then

n = (2x)^2 + (2y)^2 = 4 (x^2+y^2)

implies n = 4q

Let a and b be two odd numbers, such that

a = 2x+1 and b = 2y+1

then

n = (2x+1)^2 + (2y+1)^2 = 4x^2+4y^2+1 = 4q+2

Let a be an even number and b be an odd number, such that

a= 2x and b = 2y+1

then

n = (2x)^2 + (2y+1)^2 = 4q+1

But, the given number 1234567 = (4×308641)+3 which is of the form 4q+3, hence it cannot be written as the sum of two squares.

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Answer:

b

Step-by-step explanation:

as 2.5 × 10-^5 is 250000 and b is 3100 and if you do 10-5 + 10-3 it is 10-8 which will give u 0.0008cm I think if my calculations r correct

Answer:

a

Step-by-step explanation:

just did it and got right

Answer:

10 milligrams

Step-by-step explanation:

Answer:

1 milligrams

milligrams

Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

For the positive integer n, \(\langle n\rangle\) denote the sum of all the positive divisors of n with the exception of n itself is an option (A). 6.

We start by calculating the value of \(\langle 6 \rangle\), which is the sum of the positive divisors of 6 excluding 6 itself.

Since the divisors of 6 are 1, 2, 3, and 6, we have \(\langle 6 \rangle = 1 + 2 + 3 = 6\).

Next, we need to calculate \(\langle\langle 6 \rangle\rangle\), which is the sum of the positive divisors of 6 excluding 6 itself, and the positive divisors of 6 excluding 6 itself and \(\langle 6 \rangle\).

The divisors of 6 excluding 6 itself are 1, 2, and 3, so \(\langle\langle 6 \rangle\rangle\) is the sum of the positive divisors of 1, 2, and 3.

The divisors of 1 are just 1, the divisors of 2 are 1 and 2, and the divisors of 3 are 1 and 3.

Thus, \(\langle\langle 6 \rangle\rangle = 1 + 2 + 1 + 3 = 7\).

Finally, we need to calculate \(\langle\langle\langle 6\rangle\rangle\rangle\),

which is the sum of the positive divisors of 1, 2, 3, and 7.

The divisors of 1 are just 1, the divisors of 2 are 1 and 2, the divisors of 3 are 1 and 3, and the only divisor of 7 is 1.

Thus, \(\langle\langle\langle 6\rangle\rangle\rangle = 1 + 2 + 1 + 3 + 1 = \boxed{8}\).

For the positive integer n, \(\langle n\rangle\) denote the sum of all the positive divisors of n with the exception of n itself is 6

Hence option A is correct choice.

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Find total instruments:

20+20+45+15 = 100

20 are brass

The portion would be number of brass over total:

20/100 which reduces to 1/5 are brass

Answer:

20% or 1/5

Step-by-step explanation: add all the instruments together and divide brass by all the instruments 20/100

Bob had 50 pencils in the beginning.

A fractional number is expressed in the form -

x/y    {where y ≠ 0)

Given is that Bob gave four - fifths of his pencils to Barbara, then he gave two - thirds of the remaining pencils to bonnie.

Assume that he had {x} pencils in the beginning. We can write -

4x/5 + 2/3(x - 4x/5) = 10

4x/5 + 2x/3 - 8x/15 = 10

x(4/5 + 2/3 - 8/15) = 10

x = 10/0.93

x = 50

Therefore, Bob had 50 pencils in the beginning.

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{QUESTION IN ENGLISH -

Bob gave four fifths of his pencils to Barbara, then he gave two thirds of the remaining pencils to bonnie, if he ended up with 10 pencils for himself... how many pencils did bob have at the beginning?}

The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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Answer:

Y – Yellow

O – Orange

R – Red

B – Blue

G – Green

P - Purple

Colors

Y – Yellow

O – Orange

R – Red

Step-by-step explanation:

Answer:

n = 12

Step-by-step explanation:

27 = 15 + n

27 - 15 = n

12 = n

Answer:

n= 12

Step-by-step explanation:

27=15+n

15+n=27

n=27-15

n=12

The perimeter of the rhombus in this problem is given as follows:

19.8 units.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The diagonal length can be obtained as follows:

RU + UT = 7.

Applying the Pythagorean Theorem, the side length is obtained as follows:

x² + x² = 7²

2x² = 49

\(x = \sqrt{\frac{49}{2}}\)

x = 4.95.

Then the perimeter is given as follows:

P = 4 x 4.95

P = 19.8 units.

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Answer:

$204.89

Step-by-step explanation:

Step 1

We have to first find the area of the circular sign.

Since the sign is circular in shape, we use the Area of Circle.

Area of a Circle = πr²

r = 1.5 feet

π = 3.14

Area of a Circle = 3.14 × 1.5²

= 7.065ft² or 7.065 square feet.

Step 2

We find out how much it cost to print the circular sign.

We are told in the question that

The printing company charges $29 per square foot

Hence,

1 square foot = $29

7.065 square feet =

Cross multiply

= 7.065 × $29

=$ 204.885

Approximately to the nearest cent, $204.89

Therefore, it will cost $204.89 to print the circular sign

Answer:

1014 cm²

Step-by-step explanation:

We are to find the surface area of the cube

The formula for the surface area of a cube is given as

A = 6a²

Where a = side length

From the above diagram, side length = 13cm

The surface area = 6 × 13²

= 1014 cm²

Therefore, it would take 1014 cm² of paper to cover the gift

Answer:

Step-by-step explanation: