4. Each time Mary goes for
a run she runs 2km more
than Sue. Mary runs 7 days
a week & Sue runs 6 days a
week. Mary runs 22km a
week more than Sue. How
far does each woman run
per day?

hahahahahahahahahahahahahahah

The number is 16

PS: had to type more than 20 words

Answer:

16

Step-by-step explanation:

80 X 20 = 16 questions answered correctly.

Answer: the opposite of 45 is......-45????

Step-by-step explanation: um your question is a little unclear, but the opposite of 45 is -45.

Answer:

the opposite of a number is just that number with a negative sign because it is flipped to the other side of zero

Step-by-step explanation:

i think that's what u wanted but the question was kind of unclear

Age and you can also use weight too

you can easily group people by their age and weight but not by eye color

example

age people

5 - 10 14

10 - 15 5

the table above shows that we have 14 people within the range of 5 to 10 years

and likewise the weight of the people can serve the same purpose

Answer:

Complement = 44 degrees, supplement = 136 degrees

Step-by-step explanation:

Complement of an angle is the difference of the angle from 90 degrees.

Complement of 46 = 90-46 = 44 degrees.

Supplement of an angle is the difference of the angle from 180 degrees.

Supplement of 46 = 180-46 = 134 degrees.

Answer:

Complement = 44 degrees, supplement = 136 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

So we know by Vertical Angles the opposite is contgruent and since j shares many angles one line its supplementry so we have

j + 76 + 90 = 180 suppl. angles there for j equals 14 degrees ( dont let the h fool you)

Answer:

Your answer is: A) x 5/6

Step-by-step explanation:

Hope this helped : )

Answer:

its the first one

Step-by-step explanation:

Answer:  d

Step-by-step explanation:

The teacher can split the students into three teams in 16,800 ways if each team must have at least three students.

The given problem states that there are ten students in a class and a teacher would like to split all students into three teams in how many ways can the teacher do this if each team must have at least three students:

We can solve the given problem by applying the combination formula as follows:

Number of ways to choose 3 students from 10 = C(10, 3)

Similarly, to choose 3 students for the second team, we have C(7, 3) ways.

And for the third team, we have C(4, 3) ways.

Hence, the total number of ways the teacher can split the students into three teams is

C(10, 3) × C(7, 3) × C(4, 3)

= 120 × 35 × 4

= 16800

Therefore, the teacher can split the students into three teams in 16,800 ways if each team must have at least three students.

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Answer:

300 would be

Step-by-step explanation:

Answer:

No, around 300 would be reasonable.

Step-by-step explanation:

The loan option with the lowest total value is the one with simple interest, which amounts to $57,247.50. Therefore, the small business owner would be better off choosing the loan with Simple interest, as it results in a lower overall cost compared to the other options.

Part A: To calculate the total value of the loan with simple interest, we use the formula: Total Value = Principal + (Principal * Rate * Time).

Here, the Principal (P) is $50,000, the Rate (R) is 4.35% or 0.0435, and the Time (T) is 3 years and 4 months, which is equivalent to 3.33 years.

Plugging the values into the formula, we have:

Total Value = $50,000 + ($50,000 * 0.0435 * 3.33)

Total Value ≈ $50,000 + $7247.5

Total Value ≈ $57,247.50

Part B: To calculate the total value of the loan with quarterly compounded interest, we use the formula: Total Value = Principal * (1 + (Rate / n))^(n * Time).

Here, n represents the number of compounding periods per year, which is 4 (quarterly compounding).

Plugging the values into the formula, we have:

Total Value = $50,000 * (1 + (0.0435 / 4))^(4 * 3.33)

Total Value ≈ $50,000 * (1.010875)^13.32

Total Value ≈ $50,000 * 1.156977

Total Value ≈ $57,848.85

Part C: To calculate the total value of the loan with continuously compounded interest, we use the formula: Total Value = Principal * e^(Rate * Time).

Here, e represents the mathematical constant approximately equal to 2.71828.

Plugging the values into the formula, we have:

Total Value = $50,000 * e^(0.0435 * 3.33)

Total Value ≈ $50,000 * e^(0.145005)

Total Value ≈ $50,000 * 1.15514

Total Value ≈ $57,757.00

Part D: Comparing the total values of the loans, we find that:

- The total value with simple interest is $57,247.50.

- The total value with quarterly compounded interest is $57,848.85.

- The total value with continuously compounded interest is $57,757.00.

Based on these calculations, the loan option with the lowest total value is the one with simple interest, which amounts to $57,247.50. Therefore, the small business owner would be better off choosing the loan with simple interest, as it results in a lower overall cost compared to the other options.

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The total area of the composite figure is 57 sq yd

From the question, we have the following parameters that can be used in our computation:

The composite figure

The total area of the composite figure is the sum of the individual shapes

So, we have

Surface area = 11 * 4 + 2 * 5 + 1/2 * 2 * (12 - 5 - 4)

Evaluate

Surface area = 57

Hence. the total area of the figure is 57 sq yd

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Answer:

No, Yes, No, Yes

Step-by-step explanation:

1. 24

The sample has to be randomly chosen, diverse, and as significant as possible. This is critical because it ensures that the study's findings are accurate and generalizable.

The group of all people from whom the data has to be collected is known as the population. Population is a fundamental concept in statistics that is used to represent the set of individuals, objects, events, or measurements that one is interested in studying.

It is a collection of units under study, which can be individuals, animals, or anything that is capable of being measured.The term population is frequently used in the sciences to refer to a large number of people, but it is a general term that refers to any collection of items. For example, we might be interested in the weight of all the apples in an orchard or the height of all the trees in a forest.

Populations are typically classified based on the following criteria: geographical location, gender, age, ethnicity, education level, income, occupation, and so on. It is necessary to determine a population that is representative of the research question. The sample size, the parameters to be calculated, and the nature of the data all depend on the population size.

The most significant issue in research is choosing a representative sample from the population to study. The sample has to be randomly chosen, diverse, and as significant as possible. This is critical because it ensures that the study's findings are accurate and generalizable.

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Answer:

12x+3y+3

Step-by-step explanation:

Let's simplify step-by-step.

4x+2y+6+7x+3y−4+x−2y+1

=4x+2y+6+7x+3y+−4+x+−2y+1

Combine Like Terms:

=4x+2y+6+7x+3y+−4+x+−2y+1

=(4x+7x+x)+(2y+3y+−2y)+(6+−4+1)

=12x+3y+3

Answer:

12x + 3y + 3

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(4x + 2y + 6) + (7x + 3y - 4) + (x - 2y + 1)

Step 2: Simplify

Answer:

each number in the ratio is continually multiplied by 2                                            どういたしまして(You are welcome)  :)

Step-by-step explanation:

The trip to the campsite took 2 hours for Sami.

The total time taken by Sami on his journey = 7 hours

Let the time taken by Sami while going from his house to the campsite be 'x' hours

And, the time taken by Sami while coming back from the campsite to his house be 'y' hours

Speed while going from house to campsite = 60 miles per hour

Speed while coming back from campsite to house = 40 miles per hour

Distance from house to campsite and back will be equal as Sami will take the same route.

Let the distance be 'd'.

So, according to the question,
Distance = Speed × Time

We know that,
Time taken while going from house to campsite + Time taken while coming back from campsite = 7 hours

x + y = 7 ...(1)

Distance while going from house to campsite = Distance while coming back from campsited  = 2d ...(2)

Distance = Speed × Timex = d/60 ...(3)

y = d/40 ...(4)

Substituting (2), (3) and (4) in (1), we get,

d/60 + d/40 = 7

Solving the equation, we get d = 120

Therefore, Time taken while going from house to campsite, x = d/60 = 2 hours

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Answer:

B. (top right) 6y - 5x = 18

Step-by-step explanation:

Is the equation of the given line

y = -6/5 x - 7?

The x is missing.

If so, then the slope of the given line is -6/5.

A perpendicular line has a slope that is the negative reciprocal of -6/5, so we need a slope of 5/6.

A.

6x - 5y = 30

-5y = -6x + 30

y = 6/5 x - 6

Here the slope is 6/5, so this is not it.

B.

6y - 5x = 18

6y = 5x + 18

y = 5/6 x + 3

This is it.

C.

6x + 5y = 20 has negative slope, so it is not it.

D.

5x + 6y = 42 has negative slope, so it is not it.

Since you have basic knowledge of computer hardware, an action which you should take as an ethical employee include the following: A. Initiate help by offering to check the computer.

A computer hardware can be defined as a physical component of a computer system or an information technology (IT) that can be seen, touched and replaced.

In Computer technology, there are various examples of a computer hardware and these include the following:

Based on ethical principles, we can reasonably infer and logically conclude that an ethical employee should initiate help by offering to help check the colleague’s computer since he or she has basic knowledge of computer hardware.

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The mean and the median of the given data are 210 and 170.

A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When data collection is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data set is called the mode.

The four-hour service call costs

$30  + $40(4) = $90

(a) The given table summary details and finds the cost of the service cells

Statics      Hour of service call       cost of service call

Mean          4.5                                  30 + 40(4.5) = 210

Median       3.5                                  30 + 40 (3.5 = 170

SD               1.2                                  30 + 40 (1.2) = 78

TQR            2.0                                  30 + 40 (2.0) = 110

Minimum    0.5                                  30 + 40 (0.5) = 50

(b) The service call corresponding score is 1.50

z score = 138-4.5/1.2 = 113.75

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Therefore, the confidence interval in the form p ± e is 0.555 ± 0.444.

To express the confidence interval 0.111 p 0.999 in the form p ± e, we need to determine the midpoint (p) and the margin of error (e).

The midpoint (p) is the average of the lower and upper bounds of the confidence interval:

p = (0.111 + 0.999) / 2

= 0.555

The margin of error (e) is half of the width of the confidence interval:

e = (0.999 - 0.111) / 2

= 0.444

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Answer:

hurry

Step-by-step explanation:

The values of c greater than 9 will result in two imaginary solutions for the given quadratic equation x² - 6x + c = 0.

To find values of c that will give two imaginary solutions for the equation x² - 6x + c = 0, we need to determine the discriminant of the quadratic equation. The discriminant is given by the formula Δ = b² - 4ac, where a, b, and c are the coefficients of the quadratic equation.

In this case, the quadratic equation is x² - 6x + c = 0, so a = 1, b = -6, and c = c.

For the equation to have two imaginary solutions, the discriminant Δ must be negative. Therefore, we have:

Δ = (-6)² - 4(1)(c)

= 36 - 4c

To ensure that Δ is negative, we set the inequality 36 - 4c < 0 and solve for c:

36 - 4c < 0

-4c < -36

c > 9

Therefore, any value of c greater than 9 will give two imaginary solutions for the equation x² - 6x + c = 0.

In summary, values of c greater than 9 will result in two imaginary solutions for the given quadratic equation x² - 6x + c = 0.

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Answer:

Yes, because they are similar triangles

Step-by-step explanation:

The triangles are similar by SAS Similarity.

Answer: Yes, because they are similar triangles

Hi there!  

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I believe your answer is:  

The square root of 5 (\(\sqrt{5}\)) is irrational.

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

Since the square root of 5 is not a perfect square, it would be irrational.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The prime factorization of 3 is 3¹ which is expressed as operating exponents.

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

For example, 21= 3 × 7 is the prime factorization of 21 as 3 and 7 both are prime numbers.

To determine the prime factorization of 3

We need to write 3 as the product of its prime factors, which is 3.

⇒ 3 = 3 × 1

Converting its operating exponents,

⇒ 3 = 3¹

Thus, the prime factorization of 3 is 3¹ which is expressed as operating exponents.

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A histogram would be a better way to represent this data set, as it provides a clear visual representation of the frequency of different values.

A better way to represent the data set would be to use a histogram. A histogram is a graphical representation of a data set that is used to show how frequently certain values occur in the data set. A histogram can be created by first grouping the data into equal intervals, or bins, and then plotting the frequency of each bin on the y-axis of the graph. This allows for easy comparison of the frequency of different values. For example, in the case of the pharmaceutical company’s employee data, one could create a histogram with 5 bins that represent 6-10 months, 11-15 months, 16-20 months, 21-25 months, and 26-30 months. Then, one can plot the number of employees in each bin on the y-axis of the graph. This would provide a clear visual representation of the data set and make it easier to identify any patterns or trends in the data.

A histogram would be a better way to represent this data set, as it provides a clear visual representation of the frequency of different values.

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