For every 8 boys signed up for intramural basketball, there are 6 girls. If there are 60 girls signed up to play intramural basketball, how many boys are signed up?

The expression that most accurately describes the change in the patient's temperature is -2° (3).

Option 3 is the correct answer.

We have,

The expression that most accurately describes the change in the patient's temperature would be:

-2° + (-2°) + (-2°)

This expression represents the successive temperature drops of 2° each time.

By adding the negative values, we account for the decrease in temperature.

This can be written as,

= -2° x 3

= -2° (3)

Thus,

The expression that most accurately describes the change in the patient's temperature is -2° (3).

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Answer:

-8

Step-by-step explanation:

Answer:

9,4 and 1,5

Step-by-step explanation:

there

Answer:

D

Step-by-step explanation:

View the process in the above picture.

Using the empirical rule, approximately 95% of the boys in the all boys school are between 54.5 and 81.5 inches tall.

Standard deviation is a measure of how spread out numbers in a data set are from the mean, or average. It is the measure of the amount of variation or dispersion of a set of values from the mean. The larger the standard deviation, the greater the dispersion of values from the mean.

This is calculated by finding the area under the normal distribution curve that falls between 1.5 standard deviations (68 - (1.5 × 4.5)) and 1.5 standard deviations (68 + (1.5 ×4.5)). The empirical rule states that approximately 95% of the data should fall between 1.5 standard deviations of the mean.

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Based on the information in the graph, we can infer that the area of the three triangles is the same. In this case the area would be 45 cm².

To calculate the area of the triangles we must calculate the area of one of them taking into account that all three have the same dimensions. According to the above, we must apply the following formula:

Then we must replace the values of the base and the height:

So the area of the triangles would be 45cm.

Note: This question is incomplete. Here is the complete information:

question

What is the area of the triangles?

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Answer:

Area=16.65

Perimeter=26.3

Step-by-step explanation:

To find the area of a triangle, you must multply the length and height and divide by two. An equation like this could help find the area of a triangle: A=2÷(L×W) In your case, 7.4 is the length and 4.5 is the base. Multiply 7.4 and 4.5 together and divide the result by 2.

To find the perimeter, just add 7.4, 6.3, and 12.6 together. 4.5 doesn't get added, only the 3 sides of the triangle do. Don't forget to label the measurements.

Answer:

74046

Step-by-step explanation:

Permutations = \(_np_r=\frac{n!}{(n-r)!}\)

where r = choice of things from a set ( in this case the 3 places ) so r = 3

and n = amount of things ( in this case the 43 people ) so n = 43

We then plug in the values of n and r in the permutations formula

\(\frac{43!}{(43-3)!} =74046\)

Hence the answer is 74046

Answer:

-33

Step-by-step explanation:

With the brackets in an equations, it just means you are going to be solving within there first before moving on.

For any equations such as this, you'll want to follow PEMDAS.

Parenthesis (x)
Exponents \(x^{2}\)
Multiplication x * y
Division x/y or x÷y or \(\frac{x}{y}\)
Addition x+y
Subtraction x-y

To start, we're just going to take the bracket equations 2+4 x 2 + (10 - 5)

\(2+4*2+5/5\)

Moving down PEMDAS we have no exponents, but multipication and division, whichever comes first in the equation.

4*2 = 8

5/5 = 1

2+8+1 = 11

-3[11] = (You use multiplication here) -33

-39

Step-by-step explanation:

\({ \blue{ \sf{ - 3{[2 + 4 \times 2 + (10 - 5) \div 5]}}}}\)

\({ \blue{ \sf{ - 3{[6 \times 2 + (10 - 5) \div 5]}}}}\)

\({ \blue{ \sf{ - 3{[12 + (10 - 5) \div 5]}}}}\)

\({ \blue{ \sf{ - 3{[12 + (5) \div 5]}}}}\)

\({ \blue{ \sf{ - 3{[12 + 1]}}}}\)

\( { \blue{ \sf{ - 3[13]}}}\)

\({ \red{ \sf{ - 39}}}\)

There are a total of 9 possible choices for the first digit of a 5-digit phone extension, since it cannot be zero, and each subsequent digit has 10 possible choices (0 through 9). This means that there are 9 * 10 * 10 * 10 * 10 = 9,000,000 different possible 5-digit phone extensions.

To determine the number of possible 5-digit phone extensions, we first need to find the number of possible choices for each digit. Since the first digit cannot be zero, there are 9 possible choices (1 through 9). Each subsequent digit has 10 possible choices (0 through 9), so the total number of possible extensions is 9 * 10 * 10 * 10 * 10 = 9,000,000.

This means that there are 9 million different possible 5-digit phone extensions that the company can choose from, as long as the first digit is not zero.

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Complete Question:

A company wants to have 5​-digit phone extensions with the first digit not being zero.

How many different extensions are​ possible?

Answer:

.003 grams

Step-by-step explanation:

Answer:

0.003

Step-by-step explanation:

A milligram is 1/1000 of a gram, so 3 milligrams is 3/1000 of a gram or 0.003

Answer:

57

Step-by-step explanation:

3^r = 19

Multiply each side by 3

3 * 3^r = 19 *3

We know that a^b * a^ c = a^ ( b+c)

3^1 * 3^r = 19 *3

3^(r+1) = 19*3

3^(r+1) = 57

The expressions that gives x in terms of y from the given expression 7 y = 2 x − 5 is x = (7y +5)/2.

The concept that will be used in this question is solving of linear equation, because the equation is linear, then we perform the simplification.

The given expression is  is 7 y = 2 x − 5

Then from the expression we can make 2x the subject of the formula by rearranging it as 2x = 7y +5

Then this can be further expressed by dividing the both sides by the factor of 2, which can be expressed as ;

x = (7y +5)/2

Therefore, option A is correct because it is the expression that gives the x in terms of y.

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Check the missing options:

A. x = (7y +5)/2

B. y = (7x +5)/2

C. x=(7y +5)/3

Answer:

428.464

Step-by-step explanation:

If you divide any number by 1, the answer will come out the same as the number you are trying to divide.

Answer:

60 divided 25

Step-by-step explanation:

The quantity demanded of Super Titan radial tires is changing at a rate of approximately -20,000 tires per week when x = 11, p = 240, and the price per tire is increasing at a rate of 2 dollars per week.

The given equation relating the quantity demanded (Q) to the unit price (p) is \(Q = p + x^2 - 361\), where p is measured in dollars and x is measured in units of a thousand. To find how the quantity demanded is changing, we need to differentiate the equation with respect to time (t), assuming x and p are functions of t.

Differentiating \(Q = p + x^2 - 361\) with respect to t, we get:

dQ/dt = dp/dt + 2x(dx/dt)

Given that dx/dt (the rate of change of x) is 0 since x is constant at 11, and dp/dt (the rate of change of p) is 2 dollars per week, we can substitute these values into the equation:

dQ/dt = 2x(dx/dt) = 2(11)(0) = 0

Therefore, the quantity demanded is not changing with respect to time, as the derivative is zero. The rate of change is 0 tires per week.

It's worth noting that in this scenario, the rate of change of the price per tire does not affect the quantity demanded. The quantity demanded is solely dependent on the value of x in the given equation.

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To convert meters to inches, we need to know the conversion factor between the two units. The length of a 100-meter soccer field is 3,937 inches.

The conversion factor for meters to inches is 39.37 inches per meter.

Therefore, to convert 100 meters to inches, we can multiply it by the conversion factor:

100 meters × 39.37 inches/meter = 3937 inches

The length of a 100-meter soccer field is 3937 inches.

Expressing the answer in scientific notation, we have:

3937 inches = 3.937 × 10^3 inches.

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(a) To find the critical numbers and discontinuities of f(x) = x² / (x² - 81), we first find its derivative f'(x) and check where the denominator equals zero.

f'(x) = [(2x)(x² - 81) - (2x)(x²)] / (x² - 81)², f'(x) = (2x)(-81) / (x² - 81)², Critical numbers are the values of x for which f'(x) = 0. In this case, there are no critical numbers, as the numerator is never equal to zero. Discontinuities occur when the denominator is equal to zero: x² - 81 = 0
x² = 81
x = ±√81
x = ±9
Thus, the discontinuities are x = -9 and x = 9. (b) To find the open intervals on which the function is increasing or decreasing, we analyze the sign of the derivative f'(x). f'(x) is positive when -81(2x) < 0, which occurs in the interval (-∞, -9) ∪ (9, ∞). f'(x) is negative when -81(2x) > 0, which occurs in the interval (-9, 9).

So, the function is increasing on (-∞, -9) ∪ (9, ∞) and decreasing on (-9, 9).
(c) Since there are no critical numbers, there are no relative extrema (maximum or minimum) for this function. So, the answer is DNE for both relative maximum and relative minimum.

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Answer:

Since there is one value of y for every x in the relation above, yes this relation is a function.

I hope this helped you get to your answer, or at least help you out a bit. Thanks and have a great day of learning!

To be sure that at least three of the cards have the same face value, you would need to pick 3 cards. This is because the lowest number of cards with the same face value that can be achieved is 3, so if you pick 3 cards, you will guarantee that at least 3 of them have the same face value.

To be sure that at least four of the cards are diamonds, you would need to pick 5 cards. This is because the other 3 suits (clubs, hearts and spades) each have 13 cards, so if you pick 5 cards, you would have at least 4 cards of one suit (diamonds). To be sure that at least three of the cards have the same face value, you would need to pick 3 cards. This is because the lowest number of cards with the same face value that can be achieved is 3, so if you pick 3 cards, you will guarantee that at least 3 of them have the same face value.

At least four of them are diamonds: 5 cards

At least three of them are have the same face value: 3 cards

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Answer:

Yes. That is correct

Step-by-step explanation:

The least common denominator of the two fractions (2x)/(7x-21) and (1)/(2x-6) is 14(x-3).

To find the least common denominator of the two fractions (2x)/(7x-21) and (1)/(2x-6), we need to find the least common multiple of the denominators 7x-21 and 2x-6.

Step 1: Factor the denominators.
7x-21 = 7(x-3)
2x-6 = 2(x-3)

Step 2: Identify the common factors.
Both denominators have the factor (x-3).

Step 3: Multiply the unique factors together.
7 * 2 * (x-3) = 14(x-3)

Step 4: The least common denominator is 14(x-3).

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Answer:

The answer is $85.50

Step-by-step explanation:

You have to multiple the number of students that are paying on the second week, which is 9 by $9.50, then you'll get $85.50

WEEK ONE --

9.50 x 15 = $142.5 (15 out of 24 students)

--

WEEK TWO --

9 x 9.50 = $85.5 (9 out of 24 students)

--

$85.5 will be collected on the second week.

The equation of Net income is:

Total Revenues – Total Expenses = Net Income

The basic formula for an income statement is:

Revenues – Expenses = Net Income. This simple equation shows whether the company is profitable. If revenues are greater than expenses, the business is profitable.

The net income formula is the difference between the total revenue generated and the total expenses generated in the process. The formulas for the net income are listed below:

1) Net Income = Total Revenue - Total Expenses

2) Net income = gross income -expenses

3) Net income = (revenue - the cost of goods sold) - expenses

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The series Σ(k = 1) cos(17)^k is convergent because |cos(17)| < 1. As k approaches infinity, the terms approach zero, indicating convergence.

To determine the convergence or divergence of the series [infinity] Σ(k = 1) cos(17)^k, we need to examine the behavior of the terms.

Let's analyze the individual terms of the series:

a_k = cos(17)^k

As k approaches infinity, the behavior of cos(17)^k depends on the value of cos(17).

If |cos(17)| < 1, then as k increases, the term cos(17)^k approaches zero. In this case, the series will converge.

However, if |cos(17)| ≥ 1, then the terms cos(17)^k will not converge to zero as k increases. In this case, the series will diverge.

Now, let's evaluate |cos(17)|:

|cos(17)| ≈ 0.951

Since |cos(17)| is less than 1, the terms cos(17)^k approach zero as k approaches infinity. Therefore, the series [infinity] Σ(k = 1) cos(17)^k is convergent.

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The equation that shows the relationship is w = 38m.

If Mrs. Lopez types at a constant rate, then the number of words she types is directly proportional to the amount of time she types. We can express this relationship using the formula:

w = km

where w is the number of words typed, m is the number of minutes spent typing, and k is the constant of proportionality.

We are given that k = 38, so we can substitute this value into the formula to get:

w = 38m

Therefore, the equation that shows the relationship between the number of words Mrs. Lopez types and the number of minutes she types is w = 38m.

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A lifelong learner is committed to c. Both theoretical and applied learning.

A lifelong learner is committed to both theoretical and applied learning. Lifelong learning emphasizes the continuous pursuit of knowledge and skills throughout one's life, beyond formal educational settings. It involves an ongoing curiosity and eagerness to learn, adapt, and grow.

Theoretical learning involves acquiring knowledge, concepts, and theories in various fields of study. It focuses on understanding principles, theories, and ideas that form the foundation of a subject. This type of learning provides a deeper understanding and helps individuals develop critical thinking and analytical skills.

On the other hand, applied learning involves the practical application of knowledge and skills in real-world contexts. It emphasizes the ability to use acquired knowledge to solve problems, make informed decisions, and apply skills in practical situations. Applied learning allows individuals to connect theory with practice, enhancing their ability to transfer knowledge and skills to different situations.

A lifelong learner recognizes the value of both theoretical and applied learning. They understand that theoretical knowledge provides a strong foundation and conceptual understanding, while applied learning helps them put that knowledge into practice, gaining hands-on experience and developing practical skills. By embracing both forms of learning, lifelong learners are better equipped to adapt to new challenges, stay relevant in a rapidly changing world, and continue their personal and professional development throughout their lives.

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