There are 18 girls in Mr. Brimley's math class. If 40% of the students are girls, what is the best estimation for the number of boys in the class?

An expression is defined as a set of numbers, variables, and mathematical operations. The correct expression is B.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that is equivalent to (f·g)(2) is,

f(x) = 7x²-3

g(x) = 5x

(g·f)(x) = g(f(x)) = 5(7x²-3)

                       = 5(7·2² - 3)

Hence, the correct expression is B.

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Answer:

2058

Step-by-step explanation:

every 5 years is 0.53 so you times that by 11 to get 7.61 and then half of .53 is .265 and round that up you get three more years so 2058 is the answer.

Answer:

16) 16/3

17.) ength of PM = 20/3

18.) 60

19.) 30

20.) true

Step-by-step explanation:

4/6 = x/8

32/6=x

16/3=x

4/6 = x/10

20/3 = x

The population of bacteria after 672 hours is 36000.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the given question we have

The number of bacteria double is 336 hours.

And, the current population of bacteria is 9,000.

Therefore,

The population of bacteria after 336 hours = 9,000×2 = 18,000

⇒ the population of bacteria after 672 hours  = 18000 × 2 = 36000  

Hence, the population of bacteria after 672 hours is 36000.

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The flat screen TV that is marked up by 30% and 20% discount had a profit of $60 after being sold.

The mark up percentage is given by:

Mark up percentage = (selling price - cost price)/cost price

Since the original price is $1500, hence:

30% = (selling price - 1500)/1500

0.3 = (selling price - 1500)/1500

(selling price - 1500) = 450

Selling price = $1950

It was again sold at a discount of 20%:

Final selling price= 1950 - 20% of 1950 = 1560

Profit = 1560 - 1500 = $60

Hence $60 profit was made by the store for the sale of a flat screen TV.

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To find the values of trigonometric functions, we can use the acronym SOHCAHTOA, which stands for:

Because we are only looking for sin A and cos A, we'll use SOH and CAH. Remember that the positions are relative to angle A. So side BC would be the opposite and side AC would be the adjacent sides.

The answer is the third option, sin A = 24/26, cos A = 10/26.

Answer: 5

Step-by-step explanation:

Performing a change of scale we will see that the actual distance is 4 miles.

We know that the scale is:

3/4 inch = 2 miles.

And the distance that Nicole found on the map is (1 + 1/2) inches.

We can rewrrite the scale as:

1 inch = (4/3)*2 miles

1 inch = (8/3) miles.

Then the actual distance will be:

distance = (1 + 1/2) inches = (1 + 1/2)*(8/3) miles = 4 miles.

The correct option is A.

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Answer:

800.000

Step-by-step explanation:

Because it is the next whole number which is 7 after 7.

Answer:

12 eggs over 2 tablespoons, 24 eggs over 4 tablespoons, and 9 eggs over 1.5 tablespoons

Step-by-step explanation:

1 tablespoon of butter for every 6 eggs makes the ratio 6:1

Now let's make the ratio for all of them:

12:2

15:3

24:4

9:1.5

We can simplify them

6:1

5:1

6:1

6:1

There is your answer,

1) 12 eggs Over 2 tablespoons

2) 15 eggs Over 3 tablespoons

3) 9 eggs Over 1.5 tablespoons

Hope it helped :)

To find the sum and carry for this function on a truth table, we must first complete the truth table by computing the function's values for all possible inputs.

The given function is\(Q = (X*2) + (Y/2) + Z\)

Here's the truth table:X Y Z Q0 0 0 00 0 1 10 1 0 20 1 1 31 0 0.5 1.51 0 1 21 1 0.5 3.5 1 1 3

From the truth table above, we can see that the sum of Q for all eight input combinations is 12.

To find the carry, we will need to determine the maximum output value for the given function.

We can observe that the highest output value is 3.5.

Therefore, there is no carry for this function since the highest output value is less than four.

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The rate at which the diagonal of the rectangle is increasing is 18/13 cm/min.

To find the rate at which the diagonal of the rectangle is increasing, we can use the relationship between the sides of the rectangle, its area, and the diagonal.

Given that Height of the rectangle (h) = 5 cm

The rate at which the base is increasing (db/dt) = 3/2 cm/min

Area of the rectangle (A) = 60 cm²

We can determine the base (b) using the formula for the area of a rectangle:

A = b x h

60 = b x 5

b = 12 cm

Next, the Pythagorean theorem:

d² = b² + h²

d² = 12² + 5²

d² = 144 + 25

d² = 169

d = 13 cm

Now, to determine the rate at which the diagonal is increasing (dd/dt), we can differentiate the equation for the diagonal with respect to time:

d² = b² + h²

2d x (dd/dt) = 2b x (db/dt) + 0 x (dh/dt)

2d x (dd/dt) = 2b x (db/dt)

(dd/dt) = (b (db/dt)) / d

Substituting the known values:

(dd/dt) = (12 x (3/2)) / 13

(dd/dt) = 36/26

(dd/dt) = 18/13 cm/min

Therefore, the rate at which the diagonal of the rectangle is increasing is 18/13 cm/min.

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Answer:

The answer is 256

Answer:I think it is true

Step-by-step explanation: If you oversteer then it should loose the traction. But I am not sure hope this helps

Approximately 1.85 acres of land will remain unbuilt after constructing the 5,000-square-foot ranch home.

To determine the amount of land remaining, we need to use subtraction formula. convert the square footage of the house to acres. Since 1 acre is equal to 43,560 square feet, we can divide 5,000 square feet by 43,560 to obtain the portion of an acre occupied by the house.

5,000 square feet / 43,560 square feet per acre ≈ 0.1147 acres

Therefore, the house will occupy approximately 0.1147 acres of land. To find the remaining land, we subtract this from the original 2 acres of land.

2 acres - 0.1147 acres ≈ 1.8853 acres

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Answer:

c-2x+3+x

Step-by-step explanation:

Answer:

Choice B: \(2x+3=18\)

Step-by-step explanation:

First of all we know that the x will represent the number of pencils that Miguel has. So if it mentioned that Imani has 3 more than twice of Miguel's pencils, that can be made into this expression \(2x+3\). Then it said that both of their pencils added together is 18. So we take the expression and add an equal sign with the 18. So once we put it together it makes Choice B \(2x+3=18\).

Answer:

4 hours. your answer is 4 hours

The equation is y is 1/5 + 11.The term "literal equation" refers to an equation with two or more variables.

Explanation:

y = mx + c

1/5 + 11.

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The equation is y is 1/5 + 11.The term "literal equation" refers to an equation with two or more variables.

1. The term "literal equation" refers to an equation with two or more variables. Solve for one variable in terms of the other variable in order to rephrase an equation in its literal form (s). Try to find x in the literal solution of y = 3x + 5xz. Subtract 3 plus 5z from each side.

2. It is written in the form y=mx + b to convert the equation to slope-intercept form.

3. If we know the slope between two points on a line, we may use that information to solve for the y-intercept in the slope-intercept equation y=mx + b, which will then allow us to formulate an equation for that line.

y = mx + c

1/5 + 11.

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Answer:The value of x must be 7 units.

Step-by-step explanation:

hope this helps

Answer:

The answer is -2 points per question

:)

For those in need of an explanation, she missed 11 problems and got 22 points taken off. Divide 22 by 11 and you get two.

I hope you all found this helpful and if you need a better explanation or have a question, feel free to comment down below and ill get back to you as soon as possible. :)

Using strong induction, we can prove that the square root of -2 is irrational by showing that it cannot be expressed as a fraction of coprime odd integers.

To prove that √-2 is irrational using strong induction, we need to show that for any natural number n, if the square root of -2 can be expressed as a fraction a/b, where a and b are coprime integers, then a and b must be odd.

We can start by using the base case, n = 1. Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers. Then, we have

√-2 = a/b

Squaring both sides gives

-2 = a^2/b^2

Multiplying both sides by b^2 gives

-2b^2 = a^2

This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means

-2b^2 = (2k)^2

Simplifying, we get

-2b^2 = 4k^2

Dividing both sides by -2 gives

b^2 = -2k^2

This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers.

Now, let's assume that for all n ≤ k, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. We want to prove that this also holds for n = k+1.

Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Then, we have

√-2 = a/b

Squaring both sides gives

-2 = a^2/b^2

Multiplying both sides by b^2 gives

-2b^2 = a^2

This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means

-2b^2 = (2k)^2

Simplifying, we get

-2b^2 = 4k^2

Dividing both sides by -2 gives

b^2 = -2k^2

This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers with a and b odd. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd.

By strong induction, we have proven that for any natural number n, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Therefore, √-2 is irrational.

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Answer: 1=60°

Step-by-step explanation:

First, let's take our given angle of 30°

30° is in a right triangle, so the angles must be 90°, 60°, and 30°

Now the angle that is 45° makes angle 1 congruent to angle 60°

Meaning angle 1 is 60°

Answer:

m < 1 = 60

Step-by-step explanation:

Since the transversal is perpendicular to m,

it implies that the triangle formed by the perpendicular transversal, the slant transversal and the line m is a right angle triangle.

We use vertically opposite angles property to bring m<1 in to the right triangle.

We now use the sum of interior angles property to obtain,

m < 1 + 30 + 90 = 180

This implies that,

m  < 1 + 120 + 180

We group like terms to obtain,

m < 1 = 180 - 120

This means that,

m < 1 = 60

We could have also used corresponding angles property, then

m < 1 + 30 = 90

m < 1 = 90 - 30

m < 1 = 60

The probability that a randomly selected day's number of customers is more than 97 is 2.28%.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

As given, after collecting the data, Emma finds that the daily number of customers shopping at a small post office is normally distributed with mean 87 and standard deviation 5.

mean,    µ=    87

standard deviation,    σ=    5

Z = (x-µ)/σ        

   P(X >    97    )                    

=    P((x-µ)/σ >  ( 97 -  87) / 5)    

=    P(Z  >  2.00    )                    

=    1-P( Z  ≤  2.00    )                    

=    1  - 0.9772                  

=    0.0228                            

=    2.28%  

Therefore, the probability that a randomly selected day's number of customers is more than 97 is 2.28%.

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In this case, we have two partitions: the left partition (27, 56, 46, 57) and the right partition (99, 77, 90).

Given the numbers (27, 56, 46, 57, 99, 77, 90) and pivot=77, the low partition after the partitioning algorithm is completed is (27, 56, 46, 57) and the high partition is (99, 77, 90).

First, to understand the partitioning algorithm in Quicksort, let us define Quicksort:

Quicksort is a sorting algorithm that operates by partitioning an array or list and recursively sorting the sub-arrays or sub-lists produced by partitioning.

Quicksort is one of the fastest sorting algorithms. It is used by many operating systems, libraries, and programming languages.

There are three important steps in the partitioning algorithm of Quicksort:

Choose the pivot element.

Partition the array based on the pivot element.

Recursively sort the two partitions after the partitioning is done.

A low partition and a high partition are formed when partitioning.

The low partition contains all elements lower than the pivot, while the high partition contains all elements higher than the pivot.

For our given numbers (27, 56, 46, 57, 99, 77, 90) and pivot=77, the low partition after the partitioning algorithm is completed is (27, 56, 46, 57), and the high partition is (99, 77, 90).

The partitioning algorithm works as follows:

Choose the pivot element, which is 77.

Partition the array using the pivot element, 77.

Elements less than 77 go to the left partition and elements greater than 77 go to the right partition.27, 56, 46, 57, 90, 99, 77 are the numbers.

Pivot is 77.46 is less than 77. It goes to the left.57 is less than 77. It goes to the left.27 is less than 77. It goes to the left.

90 is greater than 77. It goes to the right.99 is greater than 77. It goes to the right.77 is not considered here because it is the pivot.

Recursively sort the two partitions produced after partitioning.

In this case, we have two partitions: the left partition (27, 56, 46, 57) and the right partition (99, 77, 90).

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The frequency table will list the number of travelers who liked each city. In this case, 124 travelers liked Indianapolis best, 416 liked St. Louis, 1225 liked Chicago, and the remaining number preferred Milwaukee.

The frequency table will present the preferences of the frequent business travelers while the relative frequency table will express these frequencies as a proportion of the total number of travelers. It will list the four cities (Indianapolis, St. Louis, Chicago, and Milwaukee) and their corresponding frequencies, which represent the number of travelers who preferred each city. According to information provided, 124 travelers liked Indianapolis, 416 liked St. Louis, 1225 liked Chicago, and the remaining number preferred Milwaukee.

The relative frequency table will express the frequencies as proportions relative to the total number of travelers. To calculate the relative frequency, the frequency of each city will be divided by the total number of travelers, which is 2200 in this case.

The resulting proportions will be rounded to three decimal places. The relative frequencies will indicate the proportion of travelers who preferred each city relative to the total number of respondents.

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According to the most recent data from the U.S. Bureau of Labor Statistics (BLS), as of 2020, approximately 10.1% of Americans are self-employed.

This means that out of the total U.S. population, about 1 in 10 individuals are working for themselves rather than being employed by someone else.

It is important to note that the percentage of self-employed individuals can vary depending on various factors such as economic conditions, industry trends, and personal preferences. For example, certain industries like agriculture, construction, and professional services tend to have higher rates of self-employment compared to others.

Self-employment offers individuals the opportunity to have more control over their work, set their own schedules, and potentially earn higher incomes. However, it also comes with certain challenges such as the need to handle business-related tasks like marketing, finances, and customer acquisition.

Overall, the percentage of self-employed Americans provides insights into the dynamic nature of the job market and the various ways people choose to earn a living.

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Answer:

sorry my cumputer is not working

Step-by-step explanation:

Answer:

Sine is 12/13 = 0.9230

Step-by-step explanation:

take the length of the side opposite the given angle and divide by the length of the hypotenuse. Here that is 12÷13 = .9230

Answer:

The value of a₂₇ is 294

Step-by-step explanation:

a₁₃ = 254

a₃₃ = 654

Now,

a₁₃ = 254 can be written as

a + 12d = 254 ...(1) and

a₃₃ = 654 can be written as

a + 32d = 654 ...(2)

Now, from equation (2) we get,

a + 32d = 654

a + 12d + 20d = 654

254 + 20d = 654 (.°. a + 12d = 254)

20d = 654 - 254

20d = 400

d = 400 ÷ 20

d = 20

Now, for the value of a put the value of d = 20 in equation (1)

a + 12d = 254

a + 12(20) = 254

a + 240 = 254

a = 254 - 240

a = 14

Now, For a₂₇

a₂₇ = a + 26d

a₂₇ = 14 + 9(20)

a₂₇ = 14 + 180

a₂₇ = 294

Thus, The value of a₂₇ is 294

-TheUnknownScientist

The required height of the balloon above the ground is approximately 8 feet.

In a right-angled triangle, its sides, such as hypotenuse, perpendicular, and base are Pythagorean triplets.

Here,
We can see that triangle ABC is a right triangle, with AC representing the length of the string and BC representing the horizontal distance between the stake and the balloon. We can use the Pythagorean theorem to solve for AC,

AC² = AB² + BC²

We know that AB is 8 feet and BC is half the diameter of the balloon, or 1 foot. Plugging these values in, we get,

AC² = 8² + 1²

AC² = 65

AC ≈ 8.06

Now we can use the right triangle formed by points A, C, and the bottom of the balloon to solve for b. We know that the length of segment AC is 8.06 feet, and we know that the length of segment AD is 1 foot (half the diameter of the balloon). We want to solve for BD, which represents the height of the balloon above the ground,

BD² = AC² - AD²

BD² = 8.06² - 1²

BD² ≈ 64.98

BD ≈ 8 ft

Therefore, the height of the balloon above the ground is approximately 8 feet.

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