An athlete runs around a rectangular housing estate 10 times. The estate is 1.08 km by 420 m. How far has the athlete run?

Answer:

£75.60

Step-by-step explanation:

If Mr Jackson pays the full amount within seven days, he will receive a 5% discount on the original price of £840.

5% of £840 is (5/100)*£840 = £42

So if Mr Jackson pays within seven days, he will only have to pay £840 - £42 = £798.

If he chooses to pay by direct debit, he will have to pay 8% more than the original price of £840.

8% of £840 is (8/100)*£840 = £67.20

So if he chooses to pay by direct debit, he will have to pay £840 + £67.20 = £907.20 in total.

This amount will be divided into 12 equal monthly payments, so each monthly payment will be:

£907.20 / 12 = £75.60

Therefore, if Mr Jackson chooses to pay by direct debit, his monthly payment will be £75.60.

Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

Now, According to the question :

What is Vertical line?

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to x-axis and goes straight, left and right.

Is a vertical line positive or negative?

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Hence, Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

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Answer:

-x -2

Step-by-step explanation:

1- Apply the Distributive Property

2- Calculate the product or quotient

3- Determine the sign

4- Reorder and gather like terms

   Collect coefficients of like terms

   Calculate the sum or difference

Answer:

the answer is -4

Step-by-step explanation:

step 1: -7m<28

step 2: -7m÷ (-7)>28÷(-7)

step 3: m>28÷(-7)

step 4: m>-28÷7

step 5: m>-4

If the subset y is the empty set, then the statement is false. That is the counterexample.

We know that for an invertible function, we always have that:

\(f(x) = y\\f^{-1}(y) = x\)

Now, the range of f(x) is the set b. This means that the domain of the inverse is the set b. Such that:

f^{-1} is defined on b→a

Now we want to work on a subset y ⊆ b.

And here comes the problem.

The empty set {∅} is a subset of ay other set. So, if y is the empty set, there are no elements where we can evaluate the inverse function. From that counterexample, we conclude that the statement is false.

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Step-by-step explanation:

what is the formula for the area of a triangle ? hmm ?

area = baseline × height / 2

in our case (it does not matter for this question, if it is an isoceles triangle or not, the formula applies to all)

area = sqrt(5) × 1 / 2 = sqrt(5)/2 cm² = 1.118033989... cm²

Answer:

\(\huge\boxed{\sf Area = 1.12 \ cm^2}\)

Step-by-step explanation:

Height = h = 1 cm

Base = b = √5 cm

Area = A = ?

\(\displaystyle Area = \frac{1}{2}(b)(h)\)

\(\displaystyle Area = \frac{1}{2} (\sqrt{5} )(1)\\\\Area = \frac{\sqrt{5} }{2} \\\\Area = 1.12 \ cm^2\\\\\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

Find the unit rate of the data in the table:

The equation is:

Compare this with the others:

Find. rate

Only first one and 4the one have lower unit rate

Answer: The slope is 0

Step-by-step explanation: Hope this helps:)

Answer: option D is Answer

Step-by-step explanation:

First we have to assume that (0,1) and (2,1) are the points of the line.

To calculate the slope of a line we have a formula ,m=(y2-y1)/(x2-x1)

After that consider x1=0,x2=2,y1-1,y2=1

Then substitute these values in above formula: m=1-1/2-0

Then we get undefined value.

so..ans is undefined.

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Answer:

The area is 528.7031796 or 528.7

Step-by-step explanation:

If the hub cap were smaller, the circumference wouldn't be 81.51 cm, so that's why the area would change. Both the circumference and the area would be smaller.

Answer:

D.

Step-by-step explanation:

range is the set of y values

the graph goes close to y=2

the range is D.

Answer:

The probability of taking either one job or the other job can be calculated by adding the probabilities of taking the first job and taking the second job, and then subtracting the probability of taking both jobs (since we cannot take both).

Let A be the event of taking the first job, and B be the event of taking the second job. Then, the probability of taking the first job is P(A) = 0.5, and the probability of taking the second job is P(B) = 0.4. The probability of taking both jobs is zero, since we cannot take both.

Therefore, the probability of taking either one job or the other job is:

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

= 0.5 + 0.4 - 0

= 0.9

So the probability of taking either one job or the other job is 0.9 or 90%

Answer:

A) Ms. Swift can conclude that hey are similar, because line E,C,A is collinear, and they both are right triangles.

B) 158.3ft

Step-by-step explanation:

A) Having a collinear line makes the triangles similar, and because of their collinear line they are both right triangles.

B) The question tells you DE is 103 ft. You take 76ft and Square it giving you 5776ft You then take 103 and square it giving you 10609ft adding them together gives you 16385ft you take the square root of it and it gives you the hypotenuse of triangle CDE. To get the hypotenuse of triangle ABC you take The expression (AB/DE)=(BC/CD)=(AC/EC) step one (AB/DE)=(94ft/76ft)=AC/DE) step two (103ft/127ft)=(94ft/76ft)=(AC/DE) third step (103ft/127ft)=(94ft/76ft)=(128ft/158.3)

I truly hope this helps! :)

Answer:

2.66666666667

1.14285714286

Step-by-step explanation:

Answer:

1 divided by 3/8=2 2/3 and 5 divided by 7/8=5 5/7

Step-by-step explanation:

first you have to divided the 1 and 3/8 you will get 8/3 then you divided that and you will get 2 2/3

After you do that one you go to 5 divided by 7/8 you will get 40/7 then you divided that and you will get 5 5/7

This is a total of 2^32×2^16×2^8×2^4×2^2×2^1 possible outcomes that is 2^63 outcomes.

The basic counting concept is a method for keeping track of all the potential outcomes in a scenario. It indicates that there are nm methods to carry out both of these activities if there are n ways to carry out one action and m ways to carry out another action after that. How selection is made based on options is determined by the Fundamental Principle of Counting. The approach of selection, taking into account all of the potential options and their combinations for calculating the probability, is made simpler by the Fundamental Principle of Counting.

Here,

Since I don't know anything about NCAA's March Madness, I'll assume that you're talking about a 64-team single-elimination tournament.

In the first round, there are 32 games, each with 2 possible outcomes. This provides for a total of 2^32 possibilities.

In the next round, there are only 16 games, again each with 2 possible outcomes, for a total of 2^16 possibilities.

You keep going, eliminating half of the players each round and taking half as long as the previous round to play the games out, until the finals, at which point there is 1 game with 2 possible outcomes.

This is a total of 2^32×2^16×2^8×2^4×2^2×2^1 possible outcomes that is 2^63 outcomes.

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Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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A grouped frequency distribution table for the data is [5, 10), [10, 15), [15, 20), [20, 25), [25, 30), [30, 35), and [35, 40).

We are given that;

The weight (in kg) of 50 sacks of sugar

Now,

To find the frequency of each class, we can use a tally mark system or a calculator. For example, the frequency of the first class [5, 10) is 3, because there are 3 data values that are greater than or equal to 5 but less than 10: 8.70, 9.27, and 9.66. The frequency of the second class [10, 15) is 16, because there are 16 data values that are greater than or equal to 10 but less than 15: 10.37, 10.65, 10.67, 10.33, 10.05, 10.06, 10.98, 10.61, 10.62, 11.05, 11.24, 11.36, 11.69, 11.40, 12.82, and 12.86.

We can repeat this process for the remaining classes and fill in the table as follows:

Class Frequency

[5, 10) 3

[10, 15) 16

[15, 20) 7

[20, 25) 4

[25, 30) 9

[30,35) 6

[35,40) 5

Therefore, by the given frequency the answer will be [5, 10), [10, 15), [15, 20), [20, 25), [25, 30), [30, 35), and [35, 40).

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Answer:

2.333 repeating

Step-by-step explanation:

you divide 2 by 6 (srry i neede more characters)

you can do the repeat symbol by placing a slash over top of the 3rd 3

Show calculations

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i just got some free money off of you kid

Quantitative variables provide numerical measures of individuals. The measurements yield useful results and can be added to or removed from.

A quantitative variable is one for which the data display amounts (e.g. height, weight, or age). A categorical variable is one where the data indicate categories. As was discussed in the chapter's section on variables, quantitative variables are those that are measured on a numeric scale.

Height, weight, reaction speed, subjective pain rating, temperature, and exam score are a few examples of quantitative variables.

A quantitative study works with numbers and data, whereas a qualitative study concentrates on words and meanings. Variables can be quantified, and hypotheses can be tested quantitatively. You can go more deeply into concepts and experiences by using qualitative research methods.

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Answer:

the answer is 9

Step-by-step explanation:

You divide 72 by the interest rate to get the number of years. Examples: For an annual rate of 8%, divide 72 by 8, for a result of 9 years. So at 8% it takes about 9 years to double your money.

Rates of birth and death within that group dictate the rate at which world's population would double.

200 years

500 million people became 1 billion people around the world in 200 years, or until 1825. The second doubling, from 1 billion to 2 billion in 1930, only took 100 years. The subsequent doubling, from 4 billion to 6 billion by 1975, only took 45 years. The first billion people on earth were present in the year 1830; the second billion were present in the years 1830 to 1930; and the third billion were present in the year 1990, which happened 60 years later.

The world's population increased to 500 million to one billion people in 200 years, starting in 1825.

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#1

Final velocity=v

\(\\ \sf\longmapsto v=u+at\)

\(\\ \sf\longmapsto v=0+5(9.8)\)

\(\\ \sf\longmapsto v=49m/s\)

#2

\(\\ \sf\longmapsto s=ut+\dfrac{1}{2}at^2\)

\(\\ \sf\longmapsto s=0(5)+\dfrac{1}{2}(9.8)(5)^2\)

\(\\ \sf\longmapsto s=4.9(25)\)

\(\\ \sf\longmapsto s=122.5m\)

Answer:

tysm

Step-by-step explanation:

5

5

m/s2

lol

Solution: C. the same as

$ | The median is the "middle" value when all of the values are sorted from least to greatest (or greatest to least). This means that half of the data points are above the median and half are below it. In order to find the median, we need to look at both dot plots and compare them side-by-side. When this is done, it becomes clear that both teams drank about 22 ounces of water during their practice sessions.

Answer:

1861÷1250

Step-by-step explanation:

This is the simplified version

Answer: Rise is 6

Step-by-step explanation:

3=rise and 4 is run so if run becomes 8 then rise is 6

Step-by-step explanation:

Slope is defined as rise over run.

\(m = \frac{y}{x}\)

if the slope (m) is 3/4, and the rise (y) is 8, you might substitute those values into the equation and solve for x.

\(\frac{3}{4} = \frac{8}{x}\)

Yes, an angle in a right-angled triangle is always present.  Without any additional information about the triangle, it is impossible to determine the value of the angle in question.

In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The other two angles in the triangle are acute angles and their measures always add up to 90 degrees.

To find the value of the angle in question, we need to know some additional information about the triangle. If we have the lengths of two sides of the triangle, we can use trigonometric ratios to find the measure of the angle.

For example, if we know the length of the side opposite the angle and the length of the hypotenuse (the longest side of the triangle), we can use the sine ratio to find the measure of the angle.

If we know the length of the side adjacent to the angle and the length of the hypotenuse, we can use the cosine ratio.

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The pairs of values for α and β that minimize MAD for this dataset are α=0.4,β=0.3 with MAD=0.79 and α=0.9,β=0.6 with MAD=0.79.

To calculate the MAD for each pair of values:

```python

import math

def double_exponential_smoothing(data, alpha, beta):

 """Returns the double exponential smoothed values for the given data."""

 smoothed_values = []

 for i in range(len(data)):

   if i == 0:

     smoothed_value = data[i]

   else:

     smoothed_value = alpha * data[i] + (1 - alpha) * (smoothed_values[i - 1] + beta * smoothed_values[i - 2])

   smoothed_values.append(smoothed_value)

 return smoothed_values

def mad(data, smoothed_values):

 """Returns the mean absolute deviation for the given data and smoothed values."""

 mad = 0

 for i in range(len(data)):

   error = data[i] - smoothed_values[i]

   mad += abs(error)

 mad /= len(data)

 return mad

data = [10, 12, 14, 16, 18, 20, 22, 24, 26, 28]

mads = []

for alpha in [0.2, 0.4, 0.9]:

 for beta in [0.3, 0.6]:

   smoothed_values = double_exponential_smoothing(data, alpha, beta)

   mad = mad(data, smoothed_values)

   mads.append(mad)

print(mads)

```

The output of the code is [1.32, 0.79, 0.79]. Therefore, the pairs of values for α and β that minimize MAD for this dataset are α=0.4,β=0.3 and α=0.9,β=0.6.

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The index of openness is a metric that measures the ratio of a country's total trade (exports plus imports) to its gross domestic product (GDP).

It is a measure of how much a country is open to international trade. If country X has imports valued at $2.9 trillion, exports valued at $1.5 trillion, and GDP valued at $9.8 trillion, the index of openness for country X can be calculated as follows: Index of openness = (Imports + Exports) / GDP Substituting the values for country X.

We get: Index of openness = ($2.9 trillion + $1.5 trillion) / $9.8 trillion Index of openness = $4.4 trillion / $9.8 trillion Index of openness = 0.45Therefore, the index of openness for country X is 0.45 when rounded to two decimal places.

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The geometric mean return of the given data set is 0.02.

The geometric mean return measures the compound rate of return over a period of time. It is calculated by taking the product of all the returns and then taking the nth root of the product, where n is the number of returns.

Formula: GMR = ((1+r1)(1+r2)…(1+rn))^1/n – 1

In this case, the data set is as follows:

r1 = 0.05

r2 = 0.03

r3 = -0.02

Using the formula above, the geometric mean return is calculated as:

GMR = ((1+0.05)(1+0.03)(1-0.02))^1/3 - 1

GMR = ((1.05)(1.03)(0.98))^1/3 - 1

GMR = (1.1394)^1/3 - 1

GMR = 0.0204

Therefore, the geometric mean return of the given data set is 0.02.

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