tycho plans his running training. each week he wants to go for a run on the same weekdays. he never wants to go for a run on two consecutive days. but he wants to go for a run two days a week. how many different weekly plans meet those conditions?

You would have $2,450 to buy to cover the cost of the membership.

An online buying club offers a membership for $245, for which you will receive a discount of 10 percent on all brand-name items you purchase.

We have to determine how much you would have to buy to cover the cost of the membership.

You have to buy to cover the cost of the membership = An online buying club offers a membership/Receive a discount

You have to buy to cover the cost of the membership = $245/10%

You have to buy to cover the cost of the membership = $245/0.10

You have to buy to cover the cost of the membership = $2,450

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There is no specific number pattern for the sequence { 6, 1, 8,4, 2, 7} but to determine the next term of sequence we can use the following patterns

1) for even place terms pattern is

aₙ = aₙ₋₂ + 3.

2) for odd place terms pattern is first aₙ

= aₙ₋₂ + 2 and for next aₙ₊₂ = aₙ - 6, where n is odd number.

A pattern is a series or sequence of repetitions. A number pattern is a series of numbers that follow a specific order in mathematics. Patterns usually describe inverse relationships between numbers.

A sequence of numbers can also be called a pattern. The types of number patterns are classified as

We need to write a pattern for 6, 1, 8, 4, 2, 7. Now the sequence is 6, 1, 8, 4, 2, 7,

First term = 6

Second term = 1

Break this sequence down into odd and even terms or enteries. The order of odd entries is 6,8,2,.. So the pattern here is 2 and -6, i.e. 7ᵗʰ entry = 2 + 2 = 4 and 9ᵗʰ entry = 4+ 6 = 10 and so on. Now for Evan's bit term, 1,4,7,.. The pattern here is aₙ = aₙ₋₂ + 3. where n is an even number. So the entire sequence has no pattern, but the odd and even elements can be determined by different patterns.

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a)  The radius of the circle is r = 18 cm, b)  angle AOC is a right angle, which is π/2 radians, c)  the area of the shaded region is 125.66 cm², d)  the perimeter of the shaded region is  57.85 cm.

A circle is a two-dimensional geometric shape that is defined as the set of all points in a plane that are at a constant distance from a given point in the plane, called the center of the circle. The distance between the center of the circle and any point on the circle is called the radius of the circle. Alternatively, the diameter of a circle is the distance across the circle passing through the center, and it is twice the length of the radius.

A circle has several important properties, including:

Circumference: The circumference of a circle is the distance around its outer edge. It is calculated using the formula C = 2πr, where π (pi) is a mathematical constant approximately equal to 3.14 and r is the radius of the circle.

Area: The area of a circle is the amount of space inside its boundary. It is calculated using the formula A = πr², where π (pi) is the mathematical constant approximately equal to 3.14 and r is the radius of the circle.

a) To find the radius r, we can use the Pythagorean theorem to solve for the length of segment OP, which is the height of the rectangle:

OP² + AP² = OA²

OP² + 6² = r²

OP² = r² - 6²

We can also use the fact that AC is a diameter of the circle to find the length of segment OC:

AC = 2r

36 = 2r

r = 18

Substituting this value into the equation for OP² gives:

OP² = 18² - 6²

OP² = 300

OP = 10√3

Therefore, the radius of the circle is r = 18 cm.

b) Angle AOC is a central angle of the circle that intercepts segment AC. Since AC is a diameter, angle AOC is a right angle, which is π/2 radians.

c) The shaded region is the difference between the area of segment ABC and the area of triangle AOC. The area of segment ABC is equal to the area of sector AOC minus the area of triangle AOC. The area of sector AOC is:

(1/2) r² angle AOC

Substituting r = 18 cm and angle AOC = π/2 radians gives:

(1/2) (18)² (π/2) = 81π

The area of triangle AOC is:

(1/2) OA OC sin AOC

Substituting OA = OC = r = 18 cm and AOC = π/2 radians gives:

(1/2) (18)(18) sin(π/2) = 162

Therefore, the area of the shaded region is:

81π - 162 ≈ 125.66 cm²

d) The perimeter of the shaded region is the sum of the lengths of segments AB, BC, and the arc of the circle between A and C. To find the length of the arc, we can use the formula for the length of an arc of a circle:

length of arc = radius x central angle

Substituting r = 18 cm and angle AOC = π/2 radians gives:

length of arc = 18 x (π/2) = 9π

Therefore, the perimeter of the shaded region is:

AB + BC + length of arc = 36 + 2(6) + 9π ≈ 57.85 cm.

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Answer:

n

Step-by-step explanation:

n

Answer: -2k^2+3k-2

Step-by-step explanation:

distribute

add

combine like terms

rearrange

3 meats x 4 vegetables x 7 desserts = 84 choices.

There are 84 different choices for a complete meal from the given options. To calculate this, use the formula: number of choices

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Answer:

21 boys

Step-by-step explanation:

girls 3+3=6+3=9+3=12+3=15+3=18+3=21

boys 2+2+2=6+2=8+2=10+2=12+2=14

3times 7=21

2 times 7 equals 14

so 21+14=35

Answer:

1/20

Step-by-step explanation:

because you turn the denominators to 40, then subtract walk from run and you got your answer

The line of reflection for the given angle is  corresponding vertices.

1. Identify the original angle and its reflected angle in the diagram.
2. Find the midpoint between the corresponding vertices of the original and reflected angles.
3. Draw a line through the midpoint that is perpendicular to the line connecting the corresponding vertices.

In general, to reflect an angle across a line, you would draw a perpendicular line from the vertex of the angle to the line of reflection, and then extend the sides of the angle to intersect the line of reflection at the same angle. The line of reflection would be the perpendicular bisector of the segment connecting the vertex of the original angle to the corresponding vertex of the reflected angle.

This line is the line of reflection, and the angles are reflected across it. The justification for this method is that the line of reflection is equidistant from the corresponding points of the original and reflected angles

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The solution of the given inequality is x ∈ (-1,5). The graph has been plotted and attached below.

What is an inequality?

In mathematics, an inequality is a relationship that unfairly compares two numbers or other mathematical expressions. Size comparisons between two numbers on the number line are most usually made.

We are given an inequality as -4 < 4x < 20.

Now, on splitting the inequality, we get two inequalities which are:

-4 < 4x and 4x < 20.

On solving -4 < 4x, we get

⇒ -4 < 4x

⇒ -1 < x

Similarly, on solving 4x < 20, we get

⇒  4x < 20

⇒  x < 5

So, we get -1 < x < 5 which means x ∈ (-1,5).

The graph of the inequality has been plotted and attached below.

The red part represents -1 < x and the blue part represents x < 5.

Hence, the solution of the given inequality is x ∈ (-1,5).

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The distance d between the train and the railroad marker can be expressed as:

d = 200 - 65h

where 200 represents the initial distance between the train and the marker, and 65h represents the distance the train has covered after h hours, assuming a constant speed of 65 miles per hour.

To find the time it will take for the distance between the train and the marker to be 4 miles apart, we can set d to 4 and solve for h:

4 = 200 - 65h

65h = 196

h = 196/65

So the equation to find the time it will take for the distance between the train and the railroad marker to be 4 miles apart is:

200 - 65h = 4

or

65h = 196

or

h = 196/65

Choir B has a higher percentage of students who like musicals.

what is percentage ?

Percentage is a way of expressing a proportion or a fraction out of 100. It is a widely used concept in mathematics, finance, statistics, and other fields. For example, if 20 out of 100 students in a class like pizza, we can say that the percentage of students who like pizza is 20%. To calculate the percentage, we usually multiply the given fraction by 100. For instance, if 3 out of 5 students like math, we can calculate the percentage of students who like math as follows:

(3/5) x 100 = 60%

Thus, 60% of the students in the class like math.

To determine which choir has a higher percentage of students who like musicals, we need to calculate the percentage of students in each choir who like musicals.

For choir A, 39 out of 52 students like musicals:

39/52 = 0.75 or 75%

For choir B, 35 out of 44 students like musicals:

35/44 = 0.795 or 79.5%

Therefore, choir B has a higher percentage of students who like musicals.

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The price of 1 liter of petrol at the cheaper petrol station is £0.68.

What is the conversion rate?

Just dividing the number of conversions by the total number of ad interactions that can be linked to a conversion within the same time period yields the conversion rate. Your conversion rate would be 5%, for instance, if you had 50 conversions out of 1,000 interactions, as 50 divided by 1,000 equals 5%.

Here, we have

Given: The prices of petrol in a British and an American petrol station are shown below. The conversion rate is $1 = £0.80.

We have to find the price of 1 liter of petrol in the cheaper petrol station.

$1 = £0.80

= £13.20×($1/£0.80)

= $16.5

For British petrol station

12 liter of petrol = $16.5

1 liter = $16.5/12

1 liter = $1.375

For American petrol station

20 liters of petrol = $17

1 liter = $17/20

1 liter = $0.85

The price of cheaper petrol from American petrol stations = $0.85× (£0.80/$1)

= £0.68

Hence, the price of 1 liter of petrol at the cheaper petrol station is £0.68.

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The line of reflection is the y-axis

Reflection is a geometric transformation that involves flipping an object over a line or a plane, creating a mirror image of the original object.

When a figure or polygon is reflected over the y-axis, it means that each point in the original figure is moved to a new point with the same y-coordinate but a negated x-coordinate.

Here we have

Triangle DEF has vertices at D(−3, 5), E(−10, 4), and F(−11, 8).

Triangle D′E′F′ is the image of triangle DEF after a reflection.

After reflection, the vertice E′ is located at (10, 4).  

Here the x-coordinate of E, − 10 is changed to 10  

As we know when the figure is reflected over the y-axis the sign of the x coordinate will be changes  

Hence,

The line of reflection is the y-axis

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As Hannah want to arrange the 4 cereal boxes from least to greatest weight, the correct arrangement will be: "Oaties, Bran Flakes, Corn Cornes, Big O's". The Option C is correct.

Arranging weights from least to greatest is a common task in various situations, such as when weighing ingredients for a recipe or when sorting objects by weight.

To accomplish this, one needs to compare the weights of the objects and order them accordingly. A simple approach is to use a weighing scale to measure the weights accurately and write them down.

The correct arrangement of "Oaties, Bran Flakes, Corn Cornes, Big O's" is correct because they have the weights of 451.5, 453.6, 453.8 and 458.2 respectively.

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Answer: 5% Of Tape

there is going to be 5% of tape for the coaster

The equation 24÷4=6 can be thought of as 24 broken into 4 groups of 6 each. This can be shown mathematically as follows: 24/4 = 6.

The division 24 ÷ 4 = 6 can be represented as 24 divided into 4 groups of 6 each. Therefore, each group contains 6 elements.

Another way to represent this division is by using a division box. In this case, 24 is the dividend, 4 is the divisor, and 6 is the quotient. Here's how to write it in the division box format:``` 6|24----4```The divisor is outside the division box, while the dividend is inside the division box. Then, we divide 24 by 4 to obtain 6. Therefore, 24 ÷ 4 = 6.

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The nurse will administer 3 tablets of Coreg to meet the prescribed dosage of 9.375 mg PO daily.

The prescription order is for the nurse to administer 9.375mg of Coreg tablets orally each day. The Coreg tablets have a dosage strength of 3.125mg per tablet. To calculate the number of tablets the nurse needs to administer, we can divide the total dosage needed (9.375mg) by the dosage strength per tablet (3.125mg per tablet).

This results in the nurse administering 3 tablets to meet the prescribed dosage. Therefore, the nurse should give 3 tablets of Coreg to the patient each day to ensure they receive the correct amount of medication.

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The given question is incomplete, the complete question is:

the pharmacy sends the nurse the following coreg tablets. the order is to administer 9.375 mg po daily. how many tablets will the nurse administer? enter only the numeral (not the unit of measurement) in your answer.

Answer:

D

Step-by-step explanation:

Volume: π*[tex]r^{2} *h[/tex]= π*[tex]4^{2}[/tex]*6.2=311.49

Answer:

H=25

I=36

Step-by-step explanation:

There is a 95% probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud.

To find the probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud, we need to use the formula for the margin of error:

[tex]$$E = z_{\alpha/2}\sqrt{\frac{p(1-p)}{n}}$$[/tex]

where E is the margin of error, [tex]$z_{\alpha/2}$[/tex] is the critical value for the desired confidence level (let's assume 95%, so [tex]$z_{\alpha/2} = 1.96$[/tex]), p is the population proportion of websites experiencing click fraud, and n is the sample size.

We know that p=0.15, so we can plug in the values:

[tex]$$E = 1.96\sqrt{\frac{0.15(1-0.15)}{400}} = 0.05$$[/tex]

So the margin of error is 0.05. This means that there is a 95% probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud.

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The volume of the solid formed using square pyramids are joined at their bases is 5,487.3 unit ².

Using the formula for the volume of a square pyramid, find the volume and then multiply it by two since there are two square pyramids.

Let V be the volume of the solid formed.

⇒ volume of the solid formed - V = 2 ( [tex]\frac{1}{3} *B*h[/tex] )

Now substitute the values,

⇒V = 2 ( [tex]\frac{1}{3}[/tex] * [tex]28^{2}[/tex] * 10.5 )

⇒V = 2 ( [tex]\frac{1}{3}[/tex] * 784 * 10.5 )

⇒V = 2 ( 261.3 * 10.5 )

⇒V = 2 ( 2,743.65 )

⇒V = 5,487.3 unit ²

Therefore, the volume of the solid formed using square pyramids are joined at their bases is 5,487.3 unit ².

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The nurse will give the patient one tablet of digoxin per day. Each tablet contains 187.5 mcg, so one tablet is the correct dose for the patient.

As per given information,

Patient's daily dose is 187.5 mcg.

Here we have to calculate the number of tablets the nurse will give the patient, use the following formula:

To get the number of tablets,

We have to divide the Patient's daily dose (mcg) by tablet dose (mcg).

Plugging in the numbers from the patient's prescription, we get:

Number of tablets = 187.5 mcg / 187.5 mcg

By simplifying these we get:

Number of tablets = 1

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Therefore, a monthly payment of $168.62 must be made to pay off the $3,500 balance on the credit card in two years.

Percent is a way of expressing a number as a fraction of 100. The symbol for percent is "%". Percentages are used in many different contexts, such as finance, economics, statistics, and everyday life.

Here,

To calculate the monthly payment required to pay off the $3,500 balance on a credit card that charges 16.5% interest, compounded monthly, in two years, we can use the formula for the present value of an annuity:

[tex]PMT = PV * r / (1 - (1 + r)^{-n})[/tex]

where PMT is the monthly payment, PV is the present value of the loan, r is the monthly interest rate, and n is the total number of payments.

First, we need to convert the annual interest rate of 16.5% to a monthly interest rate:

r = 0.165 / 12

= 0.01375

Next, we need to calculate the total number of payments over two years:

n = 2 * 12

= 24

Now we can plug in the values into the formula:

[tex]PMT = 3500 * 0.01375 / (1 - (1 + 0.01375)^{-24}) = $168.62[/tex]

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Answer:

39°

Step-by-step explanation:

angles are alternate exterior angles making them congruent

for example:

If 300 people were sampled instead of 200, and the confidence level remained the same, it would produce a more accurate result.

Sampling means selecting the group that you will actually collect data from in your research. For example, if you are researching the opinions of students in your university, you could survey a sample of 100 students. In statistics, sampling allows you to test a hypothesis about the characteristics of a population.

This is because a larger sample size allows for a better representation of the population, providing a more accurate result. Additionally, with a larger sample size, the confidence interval of the sample would be narrower, indicating a higher level of confidence in the accuracy of the result.

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The height of a man with a z-score of 0 is 69 inches.

The average height of adult men = 69.0 inches, Standard deviation of adult men = 2.8 inches to find the Z-score the following formula is used:

z = (x- μ)/σ where z is the z-score, x is the value to be standardized, μ is mean and σ is the standard deviation.

To find the height of a man with a z-score of Standardized value(z) = 0

z = (x - μ)/σ

0 = (x - 69)/2.8

x = 69 + 0 (2.8)

x = 69 inches.

Therefore, the height of a man with a z-score of 0 is 69 inches.

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The right answer is (B), which is $145,000, given that his building property insurance costs $652.50 annually.

In mathematics, interest usually refers to the sum of money that is charged or made over the course of a given period of time on a principal sum of money. In finance and economics, interest—which can be basic or compound—is frequently used to calculate borrowing costs and return on investment. The principal sum, the interest rate, and the duration for which the interest is being charged or earned are the three factors used to compute simple interest.

given

We are informed that Floyd's home is situated in a suburban area, where building property insurance costs $0.45 for every $100 of coverage.

Assume Floyd's home is worth x. Then, the yearly payment for his home's building property insurance is:

0.0045x = $652.50

After finding x, we obtain:

x = $652.50 ÷ 0.0045

x ≈ $145,000

Floyd's home is therefore currently worth about $145,000.

The correct response is (B ) $145,000 as  his building property insurance is $652.50 per year.

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There are 40 ways to place three rooks on a 4x5 board so that no rook is threatening another.

To determine this, we can first place the rooks in three distinct rows, which can be done in 4 * 3 * 2 = 24 ways. Then, we can place one rook in each of the five columns in the first row, which leaves only three columns for the second row and two columns for the third row.

Since no two rooks can be in the same column, we have 5 * 3 * 2 = 30 ways to place the remaining two rooks.

Therefore, the total number of arrangements is 24 * 30 = 720, but since each arrangement can be rotated by 90, 180, or 270 degrees, we need to divide by 4 to obtain the final answer of 720/4 = 180, and since there are two ways to arrange the rooks in each row, the final answer is 180/2 = 90.

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Answer:

20 percent off depends on the original cost: Take the original number and divide it by 10. Double your new number. Subtract your doubled number from the original number. You have taken 20 percent off! For $30, you should have $24.

Step-by-step explanation: