for a best of 3 set tennis match, would you bet on it finishing in two sets or three sets given that probabilty of winning a set is constant?

Answer: 41.86 miles/hour

Step-by-step explanation:

Use Distance = Speed*Time to find the two missing values with the data that is provided for those two cases [in brackets].

MPH MILES     HOURS

 50            20      [0.4]

 [40]    70      1.75

Totals   90 miles   2.15 hours

Average = 90 miles/2.15 hours

     41.86 mph

Answer:

4

Step-by-step explanation:

1/8 of 32 is 4

The number of pencils that can be bought for n dollars at the rate of m cents for 5 pencils is 500n / m.

We can use the unitary method to solve this problem.

First, we need to find the cost of one pencil, which can be calculated as:

Cost of 1 pencil = Cost of 5 pencils / 5 = m/5 cents

Next, we need to convert the amount given in dollars to cents, since we have the cost of one pencil in cents.

We can do this by multiplying n dollars by 100, which gives us:

n dollars * 100  = 100n cents

Now, we can find the number of pencils that can be bought for n dollars as follows:

Number of pencils = Total cost / Cost of 1 pencil

Number of pencils = 100n / (m/5)

Number of pencils = 100n * 5/m

Number of pencils = 500n / m

Therefore, the number of pencils that can be bought for n dollars at the rate of m cents for 5 pencils is 500n / m.

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The equation of a cosine function is given by y = A * cos(bx + c) + d, where A represents the amplitude, b is the frequency, c is the phase shift, and d is the vertical shift.

In this case, the period of the function is given as 1,080 degrees. The period of a cosine function is calculated as 360 degrees divided by the absolute value of the frequency. So, in this case, we can use the formula: 1,080 = 360 / |b|. To find the frequency, we need to solve this equation for b. Multiply both sides of the equation by |b| to isolate it on one side: |b| = 360 / 1,080. Simplifying further, we get |b| = 1 / 3. Since frequency cannot be negative, we take the positive value: b = 1 / 3. Therefore, the frequency of the transformed cosine function is 1/3. The frequency (b) of the transformed cosine function with a period of 1,080 degrees is 1/3. The frequency (b) of a cosine function determines the number of cycles that occur within a given period. In this case, the period is 1,080 degrees. To calculate the frequency, we can use the formula: period = 360 / |b|. Rearranging the equation to solve for |b|, we get |b| = 360 / period. Substituting the given period of 1,080 degrees, we find |b| = 360 / 1,080 = 1/3. Since frequency cannot be negative, we take the positive value, b = 1/3. This means that within a period of 1,080 degrees, the transformed cosine function completes one cycle every 3 degrees. This determines the rate at which the function oscillates and helps in understanding its behavior.

The frequency (b) of the transformed cosine function with a period of 1,080 degrees is 1/3. This frequency value indicates the number of cycles that the function completes within a period of 1,080 degrees.

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Answer:

(0, -\(\frac{32}{13}\))

Step-by-step explanation:

If a point (x, y) that divides a line segment having extreme ends \((x_1,y_1)\) and \((x_2,y_2)\) into the ratio of m : n,

x = \(\frac{mx_2+nx_1}{m+n}\)

and y = \(\frac{my_2+ny_1}{m+n}\)

From the picture attached,

Extreme ends of a segment are A(-3, -5) and B(10, 6).

Let a point (x, y) divides this segment divides this segment in the ratio of 3 : 10,

x = \(\frac{3\times 10+10\times (-3)}{3+10}\)

  = 0

y = \(\frac{3(6)+10(-5)}{3+10}\)

  = \(\frac{18-50}{13}\)

  = \(-\frac{32}{13}\)

Therefore, \((0,-\frac{32}{13})\) is a point which divides AB in the ratio of 3 : 10.

Answer:

301.440 mi²

Step-by-step explanation:

Surface area of a cylinder = 2πrh + 2πr²

Where,

Radius, r = 6 mi

Height, h = 2 mi

Surface area of a cylinder = 2πrh + 2πr²

= (2 * 3.14 * 6 * 2) + (2 * 3.14 * 6²)

= 75.36 + (6.28 * 36)

= 75.36 + 226.08

= 301.44 mi²

To the nearest thousandth

Surface area of a cylinder = 301.440 mi²

Answer:

80.89 metres

Step-by-step explanation:

82.2 - 1.31 = 80.89

Answer:

80.89m

Step-by-step explanation:

Just calculate:

82.2 - 1.31 = 80.89m

well, it went up from 50 to 62, so it really went up by 12 folks.

if we take 50 to be the 100%, what is 12 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 50 & 100\\ 12& x \end{array} \implies \cfrac{50}{12}=\cfrac{100}{x}\implies \cfrac{25}{6}=\cfrac{100}{x} \\\\\\ 25x=600\implies x=\cfrac{600}{25}\implies x=24\)

The values of the trigonometric identities are;

1. tan X = 10/17

2.  tan X = 29/25

3. sin A = 24/25

4. tan C = 15/17

5. sin A = 8/17

6. cos A = 9/41

7. cos Z = 3/4

Note that fractions are the part of a whole number.

Also,

sin θ = opposite/hypotenuse

cosθ = adjacent /hypotenuse

tan θ = opposite/adjacent

1. tan X = opposite/ adjacent

tan X = 30/21 = 10/7

2. tan X = 29/25

3. sin A = opposite/hypotenuse

sin A = 24/25

4. tan C = opposite/adjacent

tan C = 30/34

tan C = 15/17

5. sin A = 16/34

sin A = 8/17

6. cos A = adjacent/hypotenuse

cos A = 9/41

7. sin A = 21/35

8. cos Z = 21/28

cos Z = 3/4

Hence, the fractions takes the function of the trigonometric identities.

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Answer:

c

Step-by-step explanation:

they have to have the same slope to be parallel

Answer:

\(m = -3\)

Step-by-step explanation:

-To determine the slope of the red line on the graph, you need the slope formula:

\(m = \frac{y_{2} - y_{1}}{x_{2}- x_{1}}\)

-Since the red line shows it's decreasing, then the number will be negative.  So, l picked \((0,3)\) and \((1,0)\) for the slope formula:

\(m = \frac{0 - 3}{1 - 0}\)

Then, solve:

\(m = \frac{0 - 3}{1 - 0}\)

\(m = \frac{-3}{1}\)

\(m = -3\)

so, the slope is \(-3\).

Answer: 732.76

Step-by-step explanation: 28 x 26.17 = 732.76, and if by units you mean decimals, then its 732

Answer:

atleast 5

Step-by-step explanation:

Answer:

this is your ans mark brainliest pls

The system of inequalities for this situation are

Cost inequality = $4x + $6y ≤ $100

Time inequality = 30x + 60 ≤ 900

And  the retailer should make 10 single layer and 10 2-layer mask by using the available time and cost.

System of inequalities

When two or more algebraic expressions are compared using the mathematical symbols like <, > ≤, or ≥, then they form an inequality. They are the mathematical expressions in which both sides are not equal.

Given,

A retail store manager makes cotton cloth facemasks for his employees during Covid. He has enough money to buy $100 worth of fabric. Fabric costs $4 for a single layer mask and $6 for a mask with 2 layers of fabric. It takes him 30 minutes to make a single layer mask and 1 hour to make double layer mask. He only has 15 hours available to work on masks. He wants to maximize his time and resources.

Here we need to find the system of inequalities and we also need to find each type of mask should he make.

Let us consider x be the number of single layer mask and y be the number of 2 layer mask.

Then based on the given cost, the cost inequality is written as,

$4x + $6y ≤ $100.

Here we know the time taken for each mask making, so, in the inequality form, it can be written as,

We know that,

1 hour = 60 minutes

So, 15 hours = 900

Therefore, the inequality of time is written as,

30x + 60 ≤ 900

While we plot these values on the graph then we get the graph like the following,

Here the blue line represent the time inequality and the red line represents the cost inequality.

Through the given graph, we have identified that the retailer should make 10 single layer and 10 2 layer mask by using the available time and cost.

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The reasonable solution for the number of buttons of each color in one sack is (20, 11), meaning there are 20 black buttons and 11 white buttons in one sack.

Let's solve the system of equations based on the given information:

Let b be the number of black buttons in one sack and w be the number of white buttons in one sack.

From the first equation, we know that the number of black buttons in one sack is 9 more than the number of white buttons:

b = w + 9

From the second equation, we know that the total number of buttons in one sack is 372 divided by the number of sacks (12):

b + w = 372/12

b + w = 31

We can substitute the value of b from the first equation into the second equation:

(w + 9) + w = 31

2w + 9 = 31

2w = 31 - 9

2w = 22

w = 22/2

w = 11

Substituting the value of w back into the first equation, we can find the value of b:

b = 11 + 9

b = 20

Therefore, the reasonable solution for the number of buttons of each color in one sack is (20, 11), meaning there are 20 black buttons and 11 white buttons in one sack.

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In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.

To evaluate the given iterated integral ∫∫R (1 - y²)/(9(x + y)) dA, where R is the region in the xy-plane bounded by the curves x = 0, y = 1, and 9(x + y) = 2, we can convert it to polar coordinates for easier computation.

In polar coordinates, we have x = rcos(θ) and y = rsin(θ), where r represents the distance from the origin and θ is the angle measured counter clockwise from the positive x-axis.

The integral becomes ∫∫R (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) r dr dθ. In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.

In the given integral, we substitute x and y with their respective polar coordinate representations. The numerator becomes 1 - r²sin²(θ), and the denominator becomes 9(rcos(θ) + rsin(θ)). Multiplying the numerator and denominator by r, we have (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) = (1 - r²sin²(θ))/(9r(cos(θ) + sin(θ))). We then rewrite the double integral as two separate integrals: the outer integral with respect to θ and the inner integral with respect to r. The limits of integration for θ are 0 to π/2, while the limits for r are determined by the curve 0 = (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)).

We can simplify this curve to 2cos(θ) - 9sin(θ) = 9, which represents an ellipse in the xy-plane. The limits of r correspond to the radial distance within the ellipse for each value of θ. By evaluating the double integral using these limits, we can determine the result of the given iterated integral.

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The yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

To calculate the yearly deposits needed, we can use the concept of future value of an annuity. The future value formula for an annuity is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

P = Yearly deposit amount

r = Interest rate per period

n = Number of periods

In this case, the future value needed is $2 million, the interest rate is 8% (0.08), and the number of periods is 30 years. We need to solve for the yearly deposit amount (P).

Using the given formula:

2,000,000 = P * [(1 + 0.08)^30 - 1] / 0.08

Simplifying the equation:

2,000,000 = P * [1\(.08^3^0 -\) 1] / 0.08

2,000,000 = P * [10.063899 - 1] / 0.08

2,000,000 = P * 9.063899 / 0.08

Dividing both sides by 9.063899 / 0.08:

P = 2,000,000 / (9.063899 / 0.08)

P ≈ 2,000,000 / 113.298737

P ≈ 17,650.23

Therefore, the yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

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Answer:

600 I think

Step-by-step explanation:

3,000/5=600

Answer:

15,000 answers.

Step-by-step explanation:

Each response had to answer 5 questions.

3,000 responses had to answer 5 questions each.

The equation would be:

3,000 × 5

= 15,000

Answer:

5. (8,33) (-1, -21) (5, 15)

6. (-5, 29) (2, 1) (4, -7)

7. (-4, -9) (0, -1) (7, 13)

8. (-9, 0) (1, 8) (5, 4)

Step-by-step explanation:

Since X is given, you plug it into the equations.

Then put the answers into the Y. hope it helps!!

Answer:

9x = 0, x = 0

Step-by-step explanation:

9x + 20 = 20

9x + 20 - 20 = 20 -20 .......subtract 20 from both sides

9x = 0

9x + 20 = 20

(9x+20)/9 = 20/9 .......divide 9 from both sides

x + 20/9 = 20/9

x = 0

Answer:

see below

Step-by-step explanation:

9x+20 =20

Subtract 20 from each side

9x+20-20 = 20-20

9x = 0

Divide each side by 9

9x/9 = 0/9

x = 0

Answer: If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.

Step-by-step explanation:

Given: The correlation coefficient between class attendance and number of problems missed on an exam is –0.77.

When correlation coefficient is negative it means negatively correlation.

i.e. If independent variable increases dependent variable decreases or vice-versa

Also, its absolute value is larger than 0.7 it means it indicates a strong correlation.

Independent: class attendance

Dependent: problems missed on an exam

So by correlation coefficient , correct interpretation would be:

Student with high class attendance is less likely to miss problem on an exam.

i.e. If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.

Answer:

A. 30°, 70° and 80°

B. 10cm

Step-by-step explanation:

A. the two triangle have same angles so the angles of triangle 2 are 30°, 70° and 80°

B. the perimeter of triangle, is twice as long as the perimeter of triangle 2 so the perimeter of triangle 2 is 20÷2 = 10 cm

The closest distance that a cinema can put seats to the screen is approximately 3.2 meters.

the trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

We can use trigonometry to find the closest distance that a cinema can put seats to the screen.

Let "d" be the closest distance between the screen and the seats. Then, we can form a right triangle with the distance "d" as the adjacent side, the height of the screen (7.3 m) as the opposite side, and the height of the customer's eyes above the floor (1.2 m) plus the height of the seat above the floor (which we can assume is 0.5 m) as the hypotenuse.

Using the tangent function, we can write:

tan(31°) = (7.3)/(d + 1.7)

Solving for "d", we get:

d = (7.3)/(tan(31°)) - 1.7 ≈ 3.2 m

Therefore, the closest distance that a cinema can put seats to the screen is approximately 3.2 meters.

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The square of a binomial, the value of the constant \(c\) should be equal to half the coefficient of the linear term squared, which in this case is \(c = \left(\frac{22}{2}\right)^2 = 121\). Therefore, the constant that needs to be filled in is 121.

To express the quadratic expression \(x^2 + 22x + c\) as the square of a binomial, we need to find a binomial of the form \((x + a)^2\) that expands to \(x^2 + 22x + c\). Expanding \((x + a)^2\) gives \(x^2 + 2ax + a^2\). Comparing the coefficients of the expanded binomial and the given quadratic expression, we can equate the linear terms to find \(2ax = 22x\), which gives \(a = 11\). Substituting this value of \(a\) back into the expanded binomial, we have \(x^2 + 22x + 121\). Therefore, the constant that needs to be filled in is 121.

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Step-by-step explanation:

x² - 9

1. There is no common factor other than 1.

2. √x² = x; √9 = 3

3. a = x; b = 3

4. x² - 9 = (x - 3)(x + 3)

The sum of all the angles of a triangle is 180 degrees

We see that Line HI and JI are equal in length meaning that triangle HIJ is an isosceles triangle. This means that the two angles of unknown measure are both x.

So lets now set up our equation:

  \(x + x + 74 = 180\\2x = 106\\x = 53\)

Thus x is 53 degrees

Hope that helps!

1.2 kg of broccoli costs $7.08.

950 g of celery costs $2.47.

In order to determine the cost of 1.2 kg of broccoli, the first step is to determine the cost of 1kg of broccoli

1 kg = 1000 g

100g = 0.1 kg

Cost of one kg of broccoli = $0.59 / 0.1 = $5.90

The second step is to determine the cost of 1.2kg of broccoli.

$5.9 x 1.2 = $7.08

In order to determine the cost of 950g of celery, the cost of 1g of celery.

$0.26 / 100 = $0.0026

The second step is to determine the cost of 950g of celery.

950 x 0.0026 = $2.47

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Answer:

C

Step-by-step explanation:

the general equation is y=mx+b where m is the slope

if the slope of the line are the same the lines are parallel

y=2/3x+5 has the slope 2/3

C. y=2/3x-7 has the same slope 2/3

Answer:

I hope this helps.

Step-by-step explanation: