There are rational numbers that are not
integers.
True or false?

The sides for both triangles are always proportional by a factor of 2, this means that by the postulate AAA we can determine tha they're similar. The correct answer is the second option.

The cosine functions are used to find the angle if the length of the hypotenuse and the length of the adjacent side is known.

The ratio of the adjacent side of a right triangle to the hypotenuse is called the cosine and is given the symbol cos.

The cosine function in a triangle is the ratio of the adjacent side to that of the hypotenuse.

The general formula for cosine is:

cos α = Adjacent Side/Hypotenuse

Cosine has a few properties, which are periodic and even.

It is the ratio of the length of the side that is ADJACENT the angle to the length of the longest side, or HYPOTENUSE, of the triangle.

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Answer: HCA OR ACH

Step-by-step explanation:  

There are 1680 ways the teaching assistants can be chosen to grade the exam.

To determine the number of ways the teaching assistants can be chosen to grade the exam, we need to consider the number of choices available for each question and multiply them together.

For the first question, there are eight teaching assistants available. Therefore, there are 8 choices for the first question.

For the second question, since one assistant has already been assigned to the first question, there are seven remaining assistants available. Thus, there are 7 choices for the second question.

Similarly, for the third question, there are six remaining assistants available after two have been assigned to the previous questions. Hence, there are 6 choices for the third question.

Lastly, for the fourth question, there are five remaining assistants available after three have been assigned to the previous questions. Therefore, there are 5 choices for the fourth question.

To determine the total number of ways, we multiply the number of choices for each question:

Total ways = 8 * 7 * 6 * 5 = 1680

Therefore, there are 1680 possible approaches to select the teaching assistants to grade the exam.

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The probability that exactly 4 out of the 5 randomly selected employees are cashiers is approximately 0.00549 or 0.549%

To calculate the probability that exactly 4 out of the 5 employees selected to work on Labor Day are cashiers, we need to use the concept of combinations and probabilities.

First, let's determine the total number of ways to select 5 employees out of the 22. This can be calculated using the combination formula:

C(n, k) = n! / (k!(n-k)!)

where n is the total number of employees (22) and k is the number of employees selected (5).

C(22, 5) = 22! / (5!(22-5)!)

= 22! / (5! * 17!)

= (22 * 21 * 20 * 19 * 18) / (5 * 4 * 3 * 2 * 1)

= 22,957

So, there are a total of 22,957 ways to select 5 employees out of the 22.

Next, let's determine the number of ways to select exactly 4 cashiers out of the 9 cashiers. This can also be calculated using combinations:

C(9, 4) = 9! / (4!(9-4)!)

= 9! / (4! * 5!)

= (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)

= 126

Now, let's calculate the probability of selecting exactly 4 cashiers out of the 5 employees randomly selected for overtime pay:

P(4 cashiers) = Number of ways to select 4 cashiers out of 9 / Total number of ways to select 5 employees from 22

= C(9, 4) / C(22, 5)

= 126 / 22,957

≈ 0.00549

Therefore, the probability that exactly 4 out of the 5 randomly selected employees are cashiers is approximately 0.00549 or 0.549%

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The profit calculations provided include information on marginal revenue (MR), market price, marginal cost (MC), total revenue, quantity, and total cost. The market price is stated as $30.00, while the marginal cost is slightly higher at $30.16. The total revenue is given as $1,950.00, and the quantity is listed as 65.

However, the total cost is not provided in the given information. To determine the profit, the total cost would need to be subtracted from the total revenue. Without the total cost, a definitive profit calculation cannot be made.

To calculate profit, the total cost needs to be deducted from the total revenue. Unfortunately, the total cost is not provided in the given information, so a precise profit calculation cannot be determined. Profit represents the financial gain obtained by subtracting the total cost of production from the total revenue generated. If the total cost is lower than the total revenue, a profit is generated, while if the total cost exceeds the total revenue, a loss is incurred. In this case, without knowledge of the total cost, it is not possible to determine the profit or loss incurred from the given information.

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The approximately 99.38% of the data falls between the values 120 and 280.

To find the percentage of data that falls between the values 120 and 280, we need to find the standard scores (z-scores) that correspond to these values and use a standard normal table to find the proportion of data within this range.

First, we'll find the z-score for 120:

z = (120 - 200) / 40 = -2.5

Similarly, the z-score for 280 is:

z = (280 - 200) / 40 = 2.5

Now we can use a standard normal table to find the proportion of data between -2.5 and 2.5 standard deviations from the mean. This proportion is approximately 0.9938 or 99.38%.

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The missing percentages are fractions are i) 4/10, 40% ii) 7/10 and iii) 90%

Percentage means anything which is measured per hundredth, To change the percentage to a fraction, just put the percentage number in the numerator and 100 in the denominator.

One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity percentage.

Percent is from the Latin adverbial phrase per centum, meaning “by the hundred.”

Given is scale, having some missing measure,

Since, the scale is being divided into 10 equal parts, therefore each part is a part of 10 parts.

i) 4th part = 4/10

% = 4/10x100 = 40%

ii) 7th part = 7/10

iii) 9th part

% = 9/10x100 = 90%

Hence, the answers are 4/10, 40%, 7/10 and 90%

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Answer:

i love you

Step-by-step explanation:

Answer:

1/2(n-3) or (n-3)/2

Step-by-step explanation:

\(10 \frac{5}{7} \)

Explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

you need to work back wards on the

9x+3=64

so 64-3=61

then do 61 divided by 9  

which equals 6.7(1dp)

so x=6.7(1dp)

Answer:

yes

Step-by-step explanation:

because everyone has a different method that works for them.

but then again it uses the pronoun you which means its asking for your opinion its not phrased

what would help študents pay more attention in class

so yes and no

The values of the variables, a, b, and c obtained from the equation of the circle and the coordinates of the point P are;

a) a = 2

b = -2

c = 4

The general equation of a circle is; (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The coordinates of the radius of the circle

The specified equation of a circle is; x² + y² = 9

The coordinates of the center of the circle, is therefore, O = (0, 0)

a) The coordinates of the points P  and O indicates that the gradient of OP, obtained using the slope formula is; ((3·√3)/4 - 0)/(3/2 - 0) = ((3·√3)/4)/(3/2)

((3·√3)/4)/(3/2) = (√3)/2

The specified form of the gradient is; (√3)/a, therefore;

(√3)/a = (√3)/2

a = 2

The value of a is 2

b) The gradient of the tangent to a line that has a gradient of m is -1/m

The gradient of OP is; (√3)/2, therefore, the gradient of the tangent at P is -2/(√3)

The form of the gradient of the tangent at P is b/(√3), therefore;

-2/(√3) = b/(√3)

b = -2

The value of b is; -2

c) The coordinate of the point on the tangent, (0, (7·√3)/c) indicates

Slope of the tangent = -2/(√3)

((7·√3)/c - ((3·√3)/4))/(0 - (3/2)) = -2/(√3)

((7·√3)/c - ((3·√3)/4)) = (3/2) × 2/(√3) = √3

(7·√3)/c = √3 + ((3·√3)/4) = 7·√3/4

Therefore; c = 4

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Answer:

96million

Step-by-step explanation:

48/6=8

12 000 000 * 8 = 96 000 000

=96 million

Answer:

96 million

Step-by-step explanation:

48/6= 8

8*12 million = 96 million

The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.

If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:

nPr = n!/{(n - r)!}.

In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.

Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.

Substituting n = 8, and r = 4 in the formula, we get:

8P4 = 8!/{(8 - 4)!}

= 8!/4!

= 5 * 6 * 7 * 8

= 1680.

Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

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The constant of proportionality between the number of miles driven and the number of gallons used is 28.2

What is Constant of Proportionality?

When two variables are directly or indirectly proportional to one another, their relationship can be expressed using the formulas y = kx or y = k/x, where k specifies the degree of correspondence between the two variables. The proportionality constant, k, is often used. The ratio between two proportional quantities' constant values is known as the constant of proportionality. When either their ratio or their product gives a constant, two changing values are said to be in a proportionate relationship.

As we know higher gallons of fuel will take us much far

that means  fuel used is directly proportional to miles driven

therefore,

930.6 = K*33

1212.6 = K*43

1297.2 = K*46

from the above equation

we get

K=28.2

The constant of proportionality is 28.2

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Based on the given information, we cannot prove that △EFG and △KLM are similar using the SSS or SAS similarity theorems. The correct answer is option D) No, they cannot be proven similar by SSS or SAS.

To determine if the triangles △EFG and △KLM can be proven similar using the SSS (Side-Side-Side) or SAS (Side-Angle-Side) similarity theorems, we need to compare their corresponding sides and angles.

SSS Similarity Theorem states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

SAS Similarity Theorem states that if two corresponding sides of two triangles are proportional, and the included angles are congruent, then the triangles are similar.

Let's examine the given information:

Side lengths of △EFG: EF = 18, EG = 24, FG = 15.

Side lengths of △KLM: KL = 6, KM = 8, LM = 5.

By comparing the side lengths, we can see that they are not proportional. For example, the ratio of EF/KL is 18/6 = 3, while the ratio of EG/KM is 24/8 = 3. Therefore, the corresponding sides of △EFG and △KLM are not proportional, which means we cannot establish similarity using the SSS theorem.

Now, let's consider the SAS theorem. For this, we also need to compare the included angles.

Angles of △EFG: ∠EFG, ∠EFG, ∠EGF.

Angles of △KLM: ∠KLM, ∠KML, ∠KLM.

The given information states that ∠EFG and ∠KLM are congruent. However, we don't have any information about the other angles. Without knowing the congruency of the remaining angles, we cannot establish similarity using the SAS theorem

Option D.

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Answer: Its C

Step-by-step explanation:

Answer:

18 m

Step-by-step explanation:

The given situation is equivalent to a right angled triangle as shown in the diagram attached.

AB is the height at which tree was cut.

And the top touches the ground at a point C.

So,

AB = 5 m and

AC = 12 m

Here, we have to find original height of the tree.

Original height of Tree = AB + BC OR AB + BC' (Because B is the point in height AC' of tree)

Let us consider the \(\triangle ABC\).

As per pythagorean theorem:

\(\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow BC^{2} = AB^{2} + AC^{2}\\\Rightarrow BC ^2=5^2+12^2\\\Rightarrow BC = \sqrt{169}\\\Rightarrow BC = 13\ m\)

Therefore the answer is :

Height of tree = 5+13 = 18 m

A method to swap two array elements works correctly because it is designed to swap the entire elements at two different indexes in an array.

The method receives two integer values representing the indexes of the elements to be swapped and then proceeds to swap the elements themselves.
On the other hand, a method to swap two integer values does not work correctly because integers are passed by value, which means that the method receives a copy of the integer values rather than the original values themselves. Thus, the method only swaps the copies and not the original values, and as a result, the original values remain unchanged.
To overcome this issue, one can use a workaround such as passing the integer values as references instead of values. This way, the method receives a reference to the original value, and any changes made to the reference will affect the original value as well. However, this approach can be more complex and less efficient than simply swapping array elements.

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Rounded to one decimal place, the new forecasted trend for the current period is 31.3.

To calculate the new forecasted trend for the current period using exponential smoothing, we need the current observed value (33), the previous forecasted value (31), and the smoothing constant (β) of 0.15.

Exponential smoothing assigns a weight to the previous forecast and combines it with the current observed value to generate a new forecast. The formula for exponential smoothing is:

New Forecast = (1 - β) * Previous Forecast + β * Current Observed Value

Substituting the given values, we can calculate the new forecasted trend:

New Forecast = (1 - 0.15) * 31 + 0.15 * 33

           = 0.85 * 31 + 0.15 * 33

           = 26.35 + 4.95

           = 31.3

Exponential smoothing is a forecasting technique that assigns more weight to recent observations while considering past forecasts. The smoothing constant, β, determines the rate at which the influence of past forecasts diminishes as new observations become available. In this case, with a β value of 0.15, the new forecast is closer to the current observed value compared to the previous forecast, reflecting a higher sensitivity to recent data.

It's important to note that exponential smoothing assumes a relatively stable trend and does not account for other factors or seasonality that may impact the forecast. It is a simple method that can be useful for generating short-term forecasts based on recent trends, but it may not be suitable for all forecasting scenarios.

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Answer:

c. Substitute 22 for x in the equation.

Step-by-step explanation:

The scatter plot of this question is missing, so i have attached it.

The slope equation of this is written as;

y = mx + b

Where;

y is the values in the y-axis

x is the values in the x-axis

b is the intercept on the x-axis

Now, from the scatter plot of the trend line, we can see that the values in the x-axis represent the number of years after 1970 while the y-axis shows us the price of gas per gallon for each corresponding year.

Now, we want to use the trend line equation be used to predict the cost of gas per gallon in the year 1992.

Year 1992 means 22 years after 1992. Since we have our y-intercept from the scatter plot to be 0.25, then to find the cost of gas per gallon in the year 1992, we will just plug in 22 for x and 0.25 for b into the slope line equation.

Answer:

C

Step-by-step explanation:

I know

Step-by-step explanation:

you want to get p by itself

8p-6=2p

subtract 8p from both sides

-6=-6p

then you divide both sides by -6

p= 1

Laseright Software discovered  several  defects in their software and counted them daily. They plotted the number of defects after they computed  average, Upper, and Lower control limits. They plotted a C-type control chart for  Attributes

Laseright Software has implemented a C-type control chart for Attributes to monitor the number of defects that they discovered in their software. A control chart is a statistical tool that is used to monitor a process and to ensure that it is operating within certain limits. It helps to identify any patterns or trends in the process and enables the organization to take corrective actions when necessary.

The C-type control chart for Attributes is used to monitor the count of defects in a process. It is plotted with an average, upper control limit, and lower control limit. The average is the mean number of defects that were discovered over a specific period. The upper and lower control limits are determined based on the variability of the data and are used to identify when the process is out of control.

In summary, Laseright Software's implementation of a C-type control chart for Attributes is a proactive approach to monitoring their software development process. It allows them to identify any defects in their software and take corrective actions to improve their product and ensure customer satisfaction.

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Answer:

A = 6x² + 97x + 391

Step-by-step explanation:

Given that,

The length of the shop, l = (3x+23)

The width of the shop, b = (2x+17)

The expression for the area of the shop is given by :

A = lb

Put all the values,

A = (3x+23) × (2x+17)

= 6x² +51x+46x +391

= 6x² + 97x + 391

Hence, the expression for the area of the shop is equal to 6x² + 97x + 391.

The diameter of the pizza to the nearest inch is 11 inches.

Let's call the diameter of the pizza "d". The circumference of the pizza can be calculated using the formula:

C = πd

And since the outer edge of the crust from one piece measures 5.5 inches, that length is equal to 1/8 of the circumference of the pizza:

5.5 = (1/8)C

So we can substitute the formula for the circumference into this equation:

5.5 = (1/8)(πd)

Solving for d, we can multiply both sides by 8/π:

d = (5.5)(8/π)

Calculating the approximate value of π as 3.14, we get:

d ≈ (5.5)(8/3.14) = 11 inches

So the diameter of the pizza is approximately 11 inches, rounded to the nearest inch.

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Answer: False, the decimal form of a rational can repeat.

Step-by-step explanation:

Rational numbers when in decimal form can either be terminating or repeating. So the answer to the question is false because they can repeat.

I just took the test

1st Box. (-5,-2)

2nd Box. up and down

3rd Box. 8

4th Box. (-5, 6), (-5,-10)

5th Box. 4/3

6th Box. y+2=+/-4/3(x+5)

Answer:

1st Box. (-5,-2)

2nd Box. up and down

3rd Box. 8

4th Box. (-5, 6), (-5,-10)

5th Box. 4/3

6th Box. y+2=+/-4/3(x+5)

are the correct choices. Here are screenshots for your convenience.

Step-by-step explanation:

Answer:

5 bottle caps each second

Step-by-step explanation:

To find the unit rate, just divide the total number by the total time.

150/30

5

So 5 bottle caps per second

The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.

The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).

To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.

Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.

Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.

Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.

Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.

Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.

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The patient can consume approximately 2 cans of 12 oz Coca Cola without exceeding the advised sugar limit.

To determine the number of 12 oz cans of Coca Cola the patient can consume, we need to convert the sugar limit provided by the doctor into grams and then calculate the amount of sugar in a 12 oz can of Coca Cola.

Provided:

Sugar limit: 8.5 × 10^(-2) kg

Coca Cola sugar content: 110 g/L

Volume of a 12 oz can: 12 oz (which is approximately 355 mL)

First, let's convert the sugar limit from kilograms to grams:

Sugar limit = 8.5 × 10^(-2) kg = 8.5 × 10^(-2) kg × 1000 g/kg = 85 g

Next, we need to calculate the amount of sugar in a 12 oz can of Coca Cola:

Volume of a 12 oz can = 355 mL = 355/1000 L = 0.355 L

Amount of sugar in a 12 oz can of Coca Cola = 110 g/L × 0.355 L = 39.05 g

Now, we can determine the number of cans the patient can consume by dividing the sugar limit by the amount of sugar in a can:

Number of cans = Sugar limit / Amount of sugar in a can

Number of cans = 85 g / 39.05 g ≈ 2.18

Since the number of cans cannot be fractional, the patient should limit their consumption to 2 cans of Coca Cola.

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