If it takes 20 minutes to drive to the store, 9 minutes to walk from your car to the back of the store, then back to the register, 2 minutes to walk back to you car, and 20 minutes to drive back why has my dad been gone for 9 years?​

The future value of depositing $1,000 every year for 20 years, with payments made at the beginning of each period, at an interest rate of 7% compounded yearly, is approximately $43,865.18.

To calculate the future value of a series of deposits, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value

P is the periodic payment

r is the interest rate per period

n is the number of periods

In this case, the periodic payment is $1,000, the interest rate is 7% (or 0.07), and the number of periods is 20.

Plugging these values into the formula, we get:

FV = 1000 * [(1 + 0.07)^20 - 1] / 0.07

  = 1000 * [1.07^20 - 1] / 0.07

  ≈ 1000 * [2.6532976 - 1] / 0.07

  ≈ 1000 * 1.6532976 / 0.07

  ≈ 43,865.18

Therefore, the future value of this series after 20 years would be approximately $43,865.18.

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Using line of best fit and correlation coefficient, the correlation coefficient of determination represent the percentage of data that is closest to the lines of best fit.

What is line of best fit?

Line of best fit refers to the "a line through a scatter plot of data points that best expresses relationship between those points". Lines of best fit is used to describe data and predict data where the new data will appear. Examples for lines of best fit is 'Least square method'.

Two variables are said to be correlated or to have a correlation coefficient when "changes in the value of one variable produce changes in the variable of the other variable."

In order to find the correlation between two variables on a graph, the question asks for the line of best fit and correlation coefficient.

Only when there is a linear correlation between the variables—that is, when the relationship between the variables is linear on a graph—does the correlation coefficient hold true.

Variation in "x" on the graph leads to variation in "y." Variation in "y" on the graph results in variation in "x." The variables "x" and "y" are jointly dependent on the graph.

The correlation coefficient between two variables on the graph is calculated in this manner.

Hence, using line of best fit and correlation coefficient, the correlation coefficient of determination represent the percentage of data that is closest to the lines of best fit.

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\(\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ s=22\\ r=4 \end{cases}\implies 22=\cfrac{\theta \pi (4)}{180}\implies 22=\cfrac{\theta \pi}{45} \\\\\\ (22)(45)=\theta \pi \implies \cfrac{(22)(45)}{\pi }=\theta \implies 315.13\approx \theta\)

Answer: it is D

Step-by-step explanation:

Answer:

Rivers helped Canada in so many ways! One of the ways was it helped Canada travel trading goods with the waterways. Also 7% of the worlds fresh water come from Canada Rivers. Im from Toronto and the rivers here are super important. They provide me, my friends and family and everyone around me fresh water. and there are some beautiful sceneries from them to!  

Step-by-step explanation:

Hope this gave you some ideas and helped please mark brainliest :)

Answer:

Certain heritage rivers, such as the Kazan River in Nunavut, are designated for their natural heritage. These pristine waterways are valued for their undisturbed Fall Caribou Crossing, Parks Canada / Passage-de-Caribous-en-Automne, Parcs Canadabeauty and have been designated to ensure that their natural integrity is protected... https://www.historicplaces.ca/en/pages/17_heritage_rivers-rivieres_patrimoniales.aspx I got you!

Step-by-step explanation:

The value where the histogram balances when supported at that point is called the mode of the distribution.

The mode of distribution is the value that appears most frequently in the data set. It is often used as a measure of central tendency, along with the mean and median. The mode is especially useful when dealing with categorical or discrete data, where the possible values are limited and well-defined.

For example, the mode of a list of test scores might be the score that occurs most frequently, indicating the most common level of performance. In a histogram, the mode is the value where the distribution is highest, or where the histogram balances when supported at that point.

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It's true, just draw the sides and you'll see there's no other angle you could get.

Answer:

10^x

Step-by-step explanation:

√2^x×5^2x÷2^-x

√2^x×5^2x×2^x

√10^2x

10^x

Answer:

\( {10}^{x} \)

Step-by-step explanation:

\( \sqrt{ {2}^{x} \times {5}^{2x} \div {2}^{ - x} } \\ \\ = \sqrt{ {2}^{x} \times {5}^{2x} \: \times {2}^{x} }\\ \\ = \sqrt{ {2}^{x + x} \times {5}^{2x}}\\ \\ = \sqrt{ {2}^{2x} \times {5}^{2x}}\\ \\ = \sqrt{ {(2 \times 5)}^{2x} }\\ \\ = \sqrt{ {(10)}^{2x} }\\ \\ = {10}^{x} \)

The Rome data center is best described by the mean. The New York data center is best described by the median. The third option C is correct.

The mean of a data set is the average of all the terms in the data set. The median of a data set is the value of the midpoint term in the frequency distribution.

From the given information, the table can be better expressed as:

           High   Low   Q1     Q3    IQR   Median    Mean         σ

Rome   18         1        3       7        4         6.5        6.4           4.3

NY        14         1       4.5    8.5      4        5.5        6.1            3.2

Therefore, we can conclude that, the Rome data center is best described by the mean and the median will be utilized to determine the central tendency in New York.

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Answer:

90 Miles I think

Step-by-step explanation:

40/4=10

10x9=90

Answer:

x=6,-4

Step-by-step explanation:

Answer:

x=6,-4

Step-by-step explanation:

The expression for the word problem can be written as x + 12 = 5 ( x - 32).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that in 12 years I will be five times as old as I was 32 years ago. The expression in the mathematical form will be calculated as:-

x + 12 = 5 ( x - 32 )

Here, x will be the present age.

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41 degrees

I hope this helps

Answer: A. 41 degrees

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The bug changes direction at t = 4. This can be answered by the concept of velocity.

To determine when the bug changes direction, we need to find when its velocity changes sign from positive to negative. From the graph, we see that the bug's velocity is positive for t < 4 and negative for t > 4. Therefore, the bug changes direction at t = 4.

To verify this, we can look at the behavior of the bug's velocity as it approaches t = 4. From the graph, we see that the bug's velocity is increasing as it approaches t = 4 from the left, and decreasing as it approaches t = 4 from the right. This indicates that the bug is reaching a maximum velocity at t = 4, which is when it changes direction.

Therefore, the bug changes direction at t = 4.

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Answer:

Amount Simon will have to spend = $4150

Step-by-step explanation:

Given that:

Rent for summer house = $2000

Discount = 20% = 0.2

Rent after discount = 2000 - 0.2(2000) = 2000 - 400

Rent after discount = $1600

Rent of stable per week = $100

For 8 weeks = 100 * 8 = $800

Hay for 8 weeks = $50

Fee of riding club = $600 for 4 weeks

For 8 weeks = 600 * 2 = $1200

Riding equipment rent = $1000

Discount = 50% = 0.5

Amount after discount = 1000 - 0.5(1000) = 1000 - 500

Amount after discount = $500

Total amount = Summer house rent + Stable rent + Hay charges + Riding club fee + Riding equipment rent

Total amount = 1600 + 800 + 50 + 1200 + 500 = $ 4150

Hence,

Amount Simon will have to spend = $4150

There could be zero, one, or two heads if we toss two coins and count the heads. This probability experiment's final number of heads is a random variable.

Random variables can have a wide range of values because they are used in probability and statistics to quantify the outcomes of a random occurrence. Irregular factors are expected to be quantifiable and are ordinarily genuine numbers. After rolling three dice, for instance, the letter X could be chosen to represent the sum of the numbers. Due to the fact that the highest number on a die is 6 and the lowest number is 1, X could be either 3 (one plus one), 18 (six plus six), or somewhere in between those numbers.

A random variable is not the same as a mathematical variable. An algebraic equation's variable is a measurable, unknowable value. A random variable, on the other hand, has a set of values, and any one of those values could be the outcome, as the dice did above.

Therefore, the correct answer is true.

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Answer:

\(4=1/2gt^{2}\)

Multiply equation by 2/g

4(2/g) = t²

t = √(8/g)

t = 2√(2/g)

\(answer:t=\sqrt{\frac{8}{g} }\)

OAmalOHopeO

This is the required solution that satisfies the given differential equation and initial condition.

The given differential equation is f '(x) = 6x², where the initial condition is given as f(0) = −9.

We can start with integration and find the particular solution: ∫f '(x) dx = ∫6x² dx ⟹ f(x) = 2x³ + C, where C is the constant of integration.

To find the constant C, we will use the initial condition given as

f(0) = −9f(0) = 2(0)³ + C = C = -9

Therefore, the particular solution is:f(x) = 2x³ - 9

Hence, this is the required solution that satisfies the given differential equation and initial condition.

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Answer:

  a) 21,600 square miles

  b) the map will be reduced to 50% of its original size. 1 in = 60 miles

Step-by-step explanation:

You have a 4-in by 6-in map of a park with a scale of 1 in : 30 miles, and you want to know the actual area of the park, the reproduction factor to fit the map in 6 square inches, and the new scale of the map at that size.

The 4-inch dimension of the map corresponds to an actual length of ...

  (4 in)(30 mi)/(1 in) = 120 mi

Similarly, the 6-inch dimension represents ...

  (6 in)(30 mi)/(1 in) = 180 mi

The area of the park is the product of its dimensions:

  (120 mi)(180 mi) = 21,600 mi²

The area of the park is 21,600 square miles.

The area of the current map is (4 in)(6 in) = 24 in². The ratio of the reduced area to this original area is the square of the reduction scale factor:

  k² = (6 in²)/(24 in²) = 1/4

  k = √(1/4) = 1/2

The map must be reproduced at 1/2 its original size.

At this scale, the scale of the map is ...

  (1/2 in) : (30 mi) = (1 in) : (60 mi)

It will be 1 inch for every 60 miles.

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Answer:

4/15 of an inch

Step-by-step explanation:

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

Hope this helps

Have a great day

~Zero

Answer:

4/15 of an inch

Step-by-step explanation:

A worm wriggled forward 4/5 of an inch in 3 minutes.

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

The number of miles ran by Mick is 29 miles and the number of miles ran by Keith is 47 miles.

Given that, last month, Keith ran 18 more miles than Mick.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of miles ran by Mick be x.

Then, the number of miles ran by Keith will be x+18.

Here, total distance ran by both of them is 76 miles

So, equation is x+x+18=76

⇒ 2x+18=76

⇒ 2x=76-18

⇒ 2x=58

⇒ x=29 miles

So, x+18=47 miles

Therefore, the number of miles ran by Mick is 29 miles and the number of miles ran by Keith is 47 miles.

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Answer:

1. To make a bell curve (a normal distribution) with a mean of 41 and a standard deviation of 5, we can use the following values on the x-axis:

x = 21, 26, 31, 36, 41, 46, 51, 56, 61

These values are symmetric around the mean of 41, and each value is one standard deviation away from the mean.

On the y-axis, we can mark the percentage of people in each interval, which is calculated using the area under the curve. The total area under the curve is 100%.

2. To find the percentage of people who were below 31 years old, we need to calculate the area under the curve to the left of x = 31. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.0228, or 2.28%.

So, about 2.28% of people were below 31 years old.

3. To find the percentage of people who were above 31 years old, we can subtract the percentage of people below 31 years old from 100%.

100% - 2.28% = 97.72%

So, about 97.72% of people were above 31 years old.

4. To find the percentage of people between 41 and 46 years old, we need to calculate the area under the curve between x = 41 and x = 46. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.3413, or 34.13%.

So, about 34.13% of people were between 41 and 46 years old.

5. To find the percentage of people older than Kip (who is 38 years old), we need to calculate the area under the curve to the right of x = 38. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.6306, or 63.06%.

So, about 63.06% of people were older than Kip.

Step-by-step explanation:

Answer:

the tens place and it's worth 40

Step-by-step explanation:

Answer:

tens place

Step-by-step explanation:

Because the decimal equals to the (Zero)'s place, which means it equals nothing. but as you go up, the value gets higher and higher, and as you go down, the value gets lower and lower

EX: The 3 is in the tenths

EX: the 2 is in the ones

EX: the 5 is in the hundreds

also, every number below the decimal - their value ends with "THS"

EX: tenths, hundredths, thousandths, millionths, etc.

and every number above the decimal place just ends with "S"

EX: ones, tens, hundreds, thousands, millions, etc.

Yes, ΔLMN is a right triangle.

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

Sides of a triangle are, 15, 9, and 12.

Now, We can apply the Pythagoras theorem as;

⇒ 15² = 9² + 12²

⇒ 225 = 81 + 144

⇒ 225 = 225

Thus, We can say that;

⇒ ΔLMN is a right triangle.

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Answer:

81m²

Step-by-step explanation:

I took the quiz :)

Answer:

81

Step-by-step explanation:

got it right

If PQ=3x+8 and QR=2x + 17, the value of x is 31.

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. The linear pair postulate or linear pair theorem in mathematics states the same thing mathematically. The sum of the measurements of two angles that make up a linear pair is 180°.

Given

Value of lines,

PQ = 3x + 8

QR = 2x + 17

Linear pair theorem,

3x + 2x + 8 + 17 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

x = 155/5

Value

x = 31

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Answer:

we know that given triangle is right angled triangle.

➢ By using Phythagoras Theorem:-

\( \sf \longrightarrow \: (AC)^2 = (AB)^2 + (BC)^2\)

\( \sf \longrightarrow \: ( \sqrt{80} )^2 = (x)^2 + (8)^2\)

\( \sf \longrightarrow \: 80 = (x)^2 + (8)^2\)

\( \sf \longrightarrow \: 80 \: = x^2 \: + \: 8^2\)

\( \sf \longrightarrow \: 80 \: = x^2 \: + \: 64\)

\( \sf \longrightarrow \: 80 \: - 64 = x^2 \:\)

\( \sf \longrightarrow \: 16 = x^2 \:\)

\( \sf \longrightarrow \: x^2 \: = 16\)

\( \sf \longrightarrow \: x \: = \sqrt{16} \)

\( \sf \longrightarrow \: x \: = 4 \: units \)

The distance between the two points, we can use the trigonometric equation distance = altitude/tan(angle of depression). Using this equation, we can calculate the distance to be approximately  6,665.93 ft.

Pilot is at point A. The angles of depression to mileposts B and C are 32 degrees and 56 degrees, respectively. We are asked to find the distance between B and C.

Let AB = x, BC = y, and AD = CD = h = 25,000 ft.

tan(32°) = h/AB

tan(56°) = h/AC = h/(AB + BC)

We can use the first equation to solve for AB:

AB = h/tan(32°) = 25,000/tan(32°) ≈ 44,908.55 ft

We can use the second equation to solve for AC:

tan(56°) = h/(AB + BC)

tan(56°) = 25,000/(AB + BC)

AB + BC = 25,000/tan(56°)

BC = 25,000/tan(56°) - AB ≈ 38,242.62 ft

Therefore, the distance between the two mileposts is:

BC ≈ 38,242.62 - 44,908.55 ≈ 6,665.93 ft

So the distance between the two mileposts is approximately 6,665.93 ft.

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