If I took 420 minutes a day in school (that would be 7 hours a day in school), and there is 4 weeks in a month, and all together we spend time in 10 months in school, if 1 hours is 60 minutes, then how much minutes and days to we spend in school.

Therefore , the solution of the given problem of ratio comes out to be percent change is 50% for the 1/2.

To construct a pair of related variables "a" with "b," whereby "b" may also be bigger than zero, apply the straightforward formula "a / b." Two ratios are combined to form one ratio. The ratio would indeed be 1:1 if there were just one guy and three women. In the group, there are fraction 3/4 girls and 1/4 boys. Parts can be a division between two or more items, a number, or a portion of the volume of a component.

Here,

Given :

Ratio  is 1/2

To convert into percentage ,

We multiply it by 100

=> 1/2 * 100

=> 50 %

Thus , percent change is 50%

Therefore , the solution of the given problem of ratio comes out to be percent change is 50% for the 1/2.

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Answer:

Step-by-step explanation:

Polk Elementary School was putting on its annual fall carnival. The school was selling 10 tickets for $1.00 or 2 tickets for 254. Which is the better buy? Explain why.

Fran will have to buy 6.5 border rolls for the bedroom

The number of border rolls that Fran need to buy is compared with the perimeter of the bedroom

The perimeter of the bedroom is sum of the sides and this is solved as follows

= 6 m + 5m + 2 m + 5m + 3 m + 5 m

= 26 m

comparing for number of border rolls

1 border roll = 4 m

x border rolls = 26 m

cross multiplying

x * 4 = 26 * 1

x = 26 / 4

x = 6.5

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Answer:

The point (2, - 3) lies in the third quadrant.

Solution

First quadrant     X=positive      and   Y=positive

Second quadrant    X=negative     and   Y=positive

Third quadrant     X=negative      and   Y=negative

Fourth quadrant    X=positive      and   Y=negative

(2,−3) has X=2, positive and Y=−3, negative

The point lies in the fourth quadrant. Hence, the given statement is False.

Answer: £2,116.10 each month.

Step-by-step explanation:

To calculate the monthly payment, we first need to find the total amount owed after the compound interest has been added. The formula for compound interest is:

A = P * (1 + r/n)^(nt)

where:

A is the amount owed,

P is the initial principal (the cost of the tractor),

r is the annual interest rate,

n is the number of times interest is compounded per year, and

t is the number of years the loan is taken out for.

In this case:

P = £64,950

r = 4% = 0.04

n = 12 (the number of months in a year)

t = 3 (the number of years the loan is taken out for)

Plugging these values into the formula, we find that:

A = £64,950 * (1 + 0.04/12)^(12*3) = £76,079.69

To find the monthly payment, we divide the total amount owed by the number of payments:

Monthly payment = A / 36 = £76,079.69 / 36 = £2,116.10

So you will pay £2,116.10 each month.

To convert a point from Cartesian coordinates to cylindrical coordinates, use the formulae:

r²=x²+y² ,

tanθ=y/x, and z=z

What are coordinates?

A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).

The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).

To convert a point from Cartesian coordinates to cylindrical coordinates, use the formulae:

r²=x²+y² ,

tanθ=y/x, and z=z

Cartesian coordinates are also called as rectangular coordinates

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To convert a point from Cartesian coordinates to cylindrical coordinates, use the formulae:

r²=x²+y² ,

tanθ=y/x, and z=z

What are coordinates?

A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).

The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).

To convert a point from Cartesian coordinates to cylindrical coordinates, use the formulae:

r²=x²+y² ,

tanθ=y/x, and z=z

Cartesian coordinates are also called as rectangular coordinates

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Answer:

1 wow

Step-by-step explanation:

The function e is a metric on X, as it satisfies the properties of a metric:

A metric space in mathematics is a collection with a concept of distance between its components, which are typically referred to as points.

A metric or distance function is used to calculate the distance. The most universal context for learning many of the ideas of mathematical analysis and geometry is metric spaces.

Hence, the properties of a metric were satisfied in function e, so it has been defined.

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The value of the side y is 3√3. Option C

It is crucial to note the different types of trigonometric identities.

They are;

From the diagram shown, we have that;

The angle θ = 60 degrees

The opposite side = y

The adjacent side = 3

Let's use the tangent identity

tan 60 = y/3

Find the value

√3 = y/3

cross multiply

y = 3√3

Hence, the value is 3√3

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The range is 28, the variance of the data is 82.75 and the standard deviation is 9.09.

Data variability is assessed using measures of dispersion. Variance, range, interquartile range, percentiles, and standard deviation are examples of dispersion measurements. Measures of central tendencies, such as mean, mode, and median, are combined with measures of dispersion.

The range is the difference between the largest value and the smallest value. According to the data:

Range = 73 - 45 = 28.

The variance is given as:

V = ∑(x - x')² / n

Where, x is the frequency, x' is the mean and n is the number of elements.

x             d = (x - x')               d²

45               14.25                  203.06    

46               13.25                  175.56

47                12.25                 150.06

56                 3.25                  1.56

59                 0.25                  0.065

59                 0.25                  0.065

60                -1.25                   1.56

62                 -2.25                  5.06

61                   -1.75                   3.06

72                   -12.25               150.06

71                    -11.25                126.56

73                  -13.25                175.56

∑x = 711                                    ∑d² = 992.73

x' = 711 / 12 = 59.25

V = ∑d²/ n

V = 992.73 / 12 = 82.75

The standard deviation is given as:

SD = √V = √82.75 = 9.09

Hence, the range is 28, the variance of the data is 82.75 and the standard deviation is 9.09.

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Answer: The 2013-2014 salary can be calculated as follows:

$483,000 + ($483,000 * 3.1%) = $483,000 + $14,973 = $497,973.

So, the university president's 2013-2014 salary was approximately $497,973 after receiving a 3.1% raise.

Step-by-step explanation:

Given a discount rate of 0.15, the NPV of these financial movements is therefore $378.73.

Spending that occurs in the normal run of business is included in cash flow from activities. Payroll, the cost of products sold, rent, and utility bills are a few examples of these cash withdrawals. When company activities are extremely seasonal, cash outflows can differ greatly.

Here's how to do the calculation:

We need to determine how many days passed between the first monetary influx of $-1000, which was received on 12/15/2021, and the present day (2/21/2023). It's been 432 days. Using the equation PV = FV / (1 + r)n, we can determine the current value (PV), the future value (FV), the discount rate (r), and the number of times (n). When the numbers are plugged in, we get PV = -1000 / (1 + 0.15)(432/365) = -845.67.

We must determine how many days passed between the second monetary influx of $300, which was received on January 11, 2022. It's been 406 days. We obtain PV = 300 / (1 + 0.15)(406/365) = 246.87 using the same method.

In order to determine the third financial movement, which is a $600 payment received on 4/7/2023, we must determine how many days have passed since that date. It's been 410 days. Using the same method, we get PV = 600 / (1 + 0.15)^(410/365) = 427.81.

We need to figure out how many days passed between the fourth financial transfer, which was $925 and was received on July 15, 2024. It has been 875 days. We obtain PV = 925 / (1 + 0.15)(875/365) = 548.72 using the same method.

Now we can add up the present values of all the cash flows to obtain the NPV:

NPV = -845.67 + 246.87 + 427.81 + 548.72 = 378.73

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Answer:

6k + 31

Step-by-step explanation:

19 - 6(- k - 2) ← multiply each term in the parenthesis by - 6

= 19 + 6k + 12 ← collect like terms

= 6k + 31

Answer:

Values for y are y = 52 or y = -48

Step-by-step explanation:

No diagram was provided but the question had enough information to be answered

Since the x coordinates of both barn and well are the same, it means the well is either vertically north of the barn or vertically south.

Therefore y can be either 2 + 50 = 52 giving (-1, 52) as one coordinate

Also y can be 2 - 50 = -48 giving (-1, -48) as another coordinate

See attached figure

the data classification (categorical or quantitative) and type of data (Nominal or Ordinal or Continuous or Discrete)

A. Height of sunflowers in a field.

1.Quantitative

2.Continuous

B. Jersey color of all the NCAA football teams.

1.Categorical

2.Nominal

A. Height of sunflowers in a field.

1.Quantitative

2.Continuous

B. Jersey color of all the NCAA football teams.

1.Categorical

2.Nominal

Data classification is a process of organizing data into categories based on their characteristics, attributes, or features. There are two main types of data classification:

Categorical Data: Data that can be divided into categories or classes. For example, color, gender, and type of cuisine are all examples of categorical data. Categorical data can be further classified into two types:

a. Nominal Data: Data that does not have an inherent order or ranking. For example, hair color, eye color, and favorite movie are all examples of nominal data.

b. Ordinal Data: Data that has a natural order or ranking. For example, education level (high school, college, postgraduate), star rating (1 star, 2 stars, 3 stars), and satisfaction level (very unsatisfied, unsatisfied, neutral, satisfied, very satisfied) are all examples of ordinal data.

Quantitative Data: Data that can be measured and expressed as a number. For example, height, weight, and time are all examples of quantitative data. Quantitative data can be further classified into two types:

a. Continuous Data: Data that can take on any value within a specified range. For example, height, weight, and temperature are all examples of continuous data.

b. Discrete Data: Data that can only take on specific values. For example, number of children in a family, number of pets, and number of rooms in a house are all examples of discrete data

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The table that represents a linear relationship that is also proportional is x-303 and y-202-101-0.

Values are those principles and beliefs that are important to us and guide our actions, decisions, and behaviors. They are our individual and collective sense of purpose and meaning, and they provide us with a sense of direction and purpose. Values become more important when we are faced with difficult choices or decisions, as it helps us determine what is right and wrong. Values can also be seen as a moral compass, as it helps us determine our actions and behaviors. Values can be influenced by our culture, family, and society, but ultimately, they are our own personal beliefs.

This is an example of a direct proportion, where the ratio of the two values remains the same as they increase or decrease. In this table, the ratio of x to y is 3:2, meaning that for every 3 units of x, there are 2 units of y. This ratio remains the same as the values increase or decrease, so this table represents a linear and proportional relationship.

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Answer:

Step-by-step explanation:

USE PYTHAGEROMN THEROME a^2+b^2=c^2

9^2+12^2=a^2

81+144=a^2

255=a^2

15=a

The average confidence interval, according to our 80% level of confidence, falls between 31.54 and 35.86 minutes for the total population.

You only have a 5% probability of making a mistake with a 95% confidence interval. You have a 10% probability of being mistaken when the confidence interval is 90%. The difference between a 95 percent and 99 percent confidence interval is the width of the interval (for example, plus or minus 4.5 percent instead of 3.5 percent).

Confidence intervals include details about the range in which the true value is likely to fall, as well as the kind and magnitude of the effect that has been proved. Conclusions concerning the can be made as a result of this.

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The distance between the ships is increasing at a rate of approximately 98.82 km/h at 4:00 PM.

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

Distance, D = 170 km

Rates = 40 km/h and 30 km/h

Let t be the time elapsed from noon to 4:00 PM

So, we have

t = 4

The distance between the ships to their east-west and north-south distances is represented as

d^2 = (D + rate 1 * t)^2 + (rate 2 * t)^2

So, we have

d^2 = (170 + 40t)^2 + (30t)^2

d^2 = 170^2 + 13600t + 1600t^2 + 900t^2

Differentiate with respect to time (t)

2D d' = 5000t + 13600

So, we have

D d' = 2500t + 6800

Substitute 4 for t

D d' = 16800

So, we have

d' = 16800/D

This gives

d' = 16800/170

d' = 98.82

So the distance between the ships is increasing at a rate of approximately 98.82 km/h at 4:00 PM.

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The required radian measure of the central angle theta is  is 0.872 radians or 0.9 radian.

To find the radian measure of the central angle that intercepts an arc of length 10 feet, we can use the formula for the length of an arc:

Arc Length = Central Angle * Radius

where the central angle is measured in radians.

So, we can write:

10 = Theta * 13

Dividing both sides by 13:

10/13 = Theta

Finally, to convert from degrees to radians,

Radian Measure = (Degree Measure) * (Pi / 180)

So, the radian measure of the central angle is:

Theta = (10/13) * (Pi / 180) = 0.872 radians

Thus, required measurement of angle is 0.872 radians or 0.9 radian.

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Answer:

Step-by-step explanation:

The probability of A or B occurring is the sum of the probabilities of A and B occurring, since they are mutually exclusive events.

Mutually exclusive events are events that cannot occur at the same time. In other words, if one event occurs, the other event cannot occur.

Therefore, the probability of A or B is:

P(A or B) = P(A) + P(B)

P(A or B) = 0.03 + 0.34

P(A or B) = 0.37

So, the probability of A or B is 0.37.

Answer:

MAGNITUDE AND DIRECTION OF A VECTOR

Given a position vector →v=⟨a,b⟩,the magnitude is found by |v|=√a2+b2. The direction is equal to the angle formed with the x-axis, or with the y-axis, depending on the application. For a position vector, the direction is found by tanθ=(ba)⇒θ=tan−1(ba)

Step-by-step explanation:

The polynomial function is f(x) = x² - 49 if the leading coefficient is 1 or f(x) = -x² - 49 if the leading coefficient is -1.

Polynomials are expressions of the form,

a₀ + a₁ x + a₂ x² + ................. + aₙ₋₁ xⁿ⁻1 + aₙ xⁿ

where a's are the coefficients, x is the variable and n is the number of terms.

Given that, the degree of the function is 2.

So the function is quadratic.

It is of the form f(x) = ax² + bx + c.

The y - intercept is (0,-49).

Substituting the point,

(a × 0²) + (b × 0) + c = -49

c = -49

Function is f(x) = ax² + bx - 49.

We have, the x - intercepts are ( -7,0), (7,0).

Substituting the points, we get two equations.

a (-7)² + b (-7) - 49 = 0 and a (7)² + b (7) - 49 = 0

49a - 7b - 49 = 0 and 49a + 7b - 49 = 0

Subtracting 49a - 7b - 49 = 0 from 49a + 7b - 49 = 0, we get,

14b = 0

b = 0

So the function is of the form f(x) = ax² - 49.

Given that,  Assume the leading coefficient is 1 or -1.

Function is either f(x) = x² - 49 or f(x) = -x² - 49

Hence the required function is f(x) = x² - 49 or f(x) = -x² - 49.

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Answer:

S(x) = 3 × 2^x

Step-by-step explanation:

it is an exponential sequence

the common ratio is 2

Step-by-step explanation:

Let's find out the area of the given dimensions. In order to do that, we would just multiply 8 and 5, our given ft.

8 x 5 = 40

So if it takes 45 min for 75 feet, it takes x min for 40 feet. We can set up a ratio

[tex] \frac{45}{75} = \frac{x}{40} [/tex]

Next we cross multiply

[tex]75x = (45)(40) = 1800[/tex]

Now we divide by 75

[tex]x = 24 \: minutes[/tex]

the measure of the side BD will be 5.

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The sum of all angle of triangle = 180

From the ΔACE the sides BD║AE

Here given BC=4 and BA=5

BD+10/2 = BA

BD +10 = 2BA

BD = 10-5 = 5

Hence the measure of the side BD will be 5.

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The sample variance is 14.67 and the sample standard deviation is 3.83.

To find the sample variance, we first need to find the sample mean of the data set. The mean of the data set is (14 + 7 + 10 + 9) / 4 = 10. The variance is the average of the squared differences between each data point and the mean. The sample variance is ((14 - 10)^2 + (7 - 10)^2 + (10 - 10)^2 + (9 - 10)^2) / (4 - 1) = 14.67. The sample standard deviation is the square root of the sample variance, which is 3.83.

These values give us an idea of the spread or dispersion of the data around the mean. In a business context, the sample variance and sample standard deviation can be used to determine the risk associated with a stock investment.

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