please see the attached the answer is wrong that i have

Step-by-step explanation:

Diego has run  2/3 of a race's

Let total distance of the race = y

He has run 8 & 1/2 kilometers.

This means 2/3 of y = 8 & 1/2 km

How long is the whole race?

2 / 3  x  y  = 8 & 1/2

The following equations can be used to calculate the distance of the whole race;

8 & 1/2 divided by 2/3 = ?

2/3 x ? = 8 & 1/2

8 & 1/2 times 3/2 = ?

he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

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Answer:

See below (answers are in bold)

Step-by-step explanation:

Left rectangle:

P=2L+2W

P=2(n+0.6)+2(n)

P=2n+1.2+2n

P=4n+1.2

Right rectangle:

P=2L+2W

P=2(2n)+2(n+0.1)

P=4n+2n+0.2

P=6n+0.2

The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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Answer:

Average speed of Robbi = 16 mph

Step-by-step explanation:

Formula for the average speed is,

Average speed = \(\frac{\text{Total distance covered}}{\text{Total time taken}}\)

Total distance covered by Robbi = 3 + 7 + 12

                                                       = 22 miles

Time taken to cover 3 miles = \(\frac{\text{Distance covered}}{\text{Speed}}\)

                                               = \(\frac{3}{8}\) hours

                                               = 0.375 hours

Time taken to cover 7 miles = \(\frac{7}{14}\)

                                               = 0.5 hours

Times taken to cover 12 miles = \(\frac{12}{24}\)

                                                  = 0.5 hours

Total time taken to cover the entire trip = 0.375 + 0.5 + 0.5

                                                                  = 1.375 hours

Average speed of Robbi = \(\frac{22}{1.375}\)

                                         = 16 miles per hour

The required time for which alan drives his car is 8.7 hours.

Given that,
Alan used a total of 7 1/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. The total number of hours he was driving is to be determined.

here,
Total fuel consumed = 7 + 1 / 4 = 29 / 4 gallons of fuel
Rate of fuel used per hour = 5 / 6
Total number of hours of driving  = Total fuel/fuel used per hour
                                                      = 29/4 / 5/6
                                                      = 8.7 hours.

Thus, the required time for which alan drives his car is 8.7 hours.

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Answer:

If you multiply a decimal by 10, the decimal point will move one place to the right. If you divide a decimal by 10, the decimal point will move one place to the left.

Step-by-step explanation:

Multiplying a decimal by 10 increases the value of each digit by 10. Multiplying a decimal by a power of 10 increases the value of each digit by a number of times that is equivalent to that power of 10. When a digit's value is changed, that digit is moved to the appropriate place.

Answer:

False

Step-by-step explanation:

By answering the above question, we may state that Romania $766.51 $646.96.80 leu 0.940 and by equation United States $4,141.00 $1,242.20 dollars 0.000 $4,141

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematics statement that proves the equality of two formalisms is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two statements that are inscribed on opposite sides of a letter. Frequently, the trademark and the particular software are identical. like in 2x - 4 = 2, for example.

z = (x - μ) / σ

where x is the $1,500 wage, is the average income across all countries, and is the standard deviation across all countries.

Country typical monthly income (U.S. dollars) Normative deviation (U.S. dollars) original money Z score for a mean income of $1,500 in dollars

Republic of the Czech 1,059 korunas, or $158.80, $1,096.89 -0.913

Latvia $790 Lats $118.60 $1,515.77 -0.877

$2,245 $673.60 in Korean Won $1,956.24 -0.498

Romania $766.51 $646.96.80 leu 0.940

United States $4,141.00 $1,242.20 dollars 0.000 $4,141

As $1,500 per month for Romania corresponds to the highest z score of 0.94, suggesting that the income is rather high compared to Romania's mean wage, the computer programmer from Romania will probably be the most happy with the offer.

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Answer:

3

Step-by-step explanation:

The answer is three because u need to simply the fractions

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

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Answer: I hope this is the answer you're looking for.

Step-by-step explanation:

I would take the $20 per hour because if I take a starting pay of $4 that doubles with every session then for a school week I would earn $20 because 4x5=20 when I could just earn $20 an hour. 20x5=100 so ill be getting paid $100 a week for a tutor session. Option A ($20) depends on how many hours I am tutoring because if it tutoring for an hour then I would only get $20. For option B ($4) I would only get $4 for 1 session. So I would go with option A $20 an hour.

When reflected over ry-axis (x, y) (-x, y) , rx-axis (x, y) (x,-y) , Option A and D is the correct answer.

The rule for reflection is when an object or a coordinate point is reflected over x axis then the coordinate of the x axis remains the same while the y coordinate changes to be additive inverse.

Vice Versa happens when reflected over y axis.

So,

rx-axis (x, y) - (-x, y) --> (x,-y)

ry-axis (x, y) (-x, y)

Therefore Option A and D is the correct answer.

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Answer: its A not A & D

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

sorry if wrong

The class width used for the frequency distribution is 6.

The class midpoint for the class 23-29 is 26.

The class midpoint for the class 30-36 is 33.

The class midpoint for the class 37-43 is 40.

To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:

23-29

30-36

37-43

For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:

Class width = 29 - 23 = 6

So, the class width for the frequency distribution is 6.

To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.

For the class 23-29:

Class midpoint = (23 + 29) / 2 = 52 / 2 = 26

For the class 30-36:

Class midpoint = (30 + 36) / 2 = 66 / 2 = 33

For the class 37-43:

Class midpoint = (37 + 43) / 2 = 80 / 2 = 40

So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.

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The dependent variable is the factor that is affected by the changes in the independent variable and is measured to observe the effects.

The dependent variable is the factor that is affected by the changes in the independent variable and is measured to observe the effects. This is the variable that is expected to change in response to changes in the independent variable. The dependent variable is the factor that is affected by the changes in the independent variable and it is measured to observe the effects of the changes in the independent variable. For example, in an experiment about plant growth, the dependent variable would be the height of the plant and the independent variable would be the amount of water added to the soil. By changing the amount of water, the height of the plant can be observed and measured to determine the effect of the water on the growth of the plant.

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Answer: 4 out of 13

Step-by-step explanation:

Total letters in "MASSACHUSSETT " = 13

Number of S = 4

Probability of an event = \(\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}\)

The probability of selecting the  letter S = \(\dfrac4{13}\)  [already in lowest term as gcd(4,13)=1]

Hence, the probability of selecting the  letter S = 4 out of 13.

Answer:

See Below.

Step-by-step explanation:

We want to prove the trigonometric identity:

\(\displaystyle \frac{\sec^2(\theta)-1}{\sin(\theta)}=\frac{\sin(\theta)}{1-\sin^2(\theta)}\)

To start, let's simplify the right side. Recall the Pythagorean Identity:

\(\sin^2(\theta)+\cos^2(\theta)=1\)

Therefore:

\(\cos^2(\theta)=1-\sin^2(\theta)\)

Substitute:

\(\displaystyle \frac{\sin(\theta)}{1-\sin^2(\theta)}=\frac{\sin(\theta)}{\cos^2(\theta)}\)

Split:

\(\displaystyle =\frac{\sin(\theta)}{\cos(\theta)}\left(\frac{1}{\cos(\theta)}\right)=\tan(\theta)\sec(\theta)\)

Therefore, our equation becomes:

\(\displaystyle \frac{\sec^2(\theta)-1}{\sin(\theta)}=\tan(\theta)\sec(\theta)\)

From the Pythagorean Identity, we can divide both sides by cos²(θ). This yields:

\(\displaystyle \tan^2(\theta)+1=\sec^2(\theta)\)

So:

\(\tan^2(\theta)=\sec^2(\theta)-1\)

Substitute:

\(\displaystyle \frac{\tan^2(\theta)}{\sin(\theta)}=\tan(\theta)\sec(\theta)\)

Rewrite:

\(\displaystyle (\tan(\theta))^2\left(\frac{1}{\sin(\theta)}\right)=\tan(\theta)\sec(\theta)\)

Recall that tan(θ) = sin(θ)/cos(θ). So:

\(\displaystyle \frac{\sin^2(\theta)}{\cos^2(\theta)}\left(\frac{1}{\sin(\theta)}\right)=\tan(\theta)\sec(\theta)\)

Simplify:

\(\displaystyle \frac{\sin(\theta)}{\cos^2(\theta)}=\tan(\theta)\sec(\theta)\)

Simplify:

\(\tan(\theta)\sec(\theta)=\tan(\theta)\sec(\theta)}\)

Hence proven.  

Answer:

2x^2 - 6x + 7 - (5x^2 + 2x - 8)

Distributive a -1 to each term in the parentheses.

2x^2 - 6x + 7 - 5x^2 - 2x + 8

Combine like terms.

-3x^2 - 8x + 15 is the expression after being subtracted.

Answer:

Step-by-step explanation:

(2x² − 6x + 7) − (5x²  + 2x +8)

To find the opposite of 5x²  + 2x + 8, find the opposite of each term.

2x²  − 6x + 7 − 5x²  − 2x − 8

Combine 2x²  and −5x²  to get −3x²

−3x²  − 6x + 7 − 2x − 8

Combine −6x and −2x to get −8x.

−3x² − 8x + 7 − 8

Subtract 8 from 7 to get −1.

−3x² − 8x − 1

The rate of change of the Distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.

The rate of change of the distance between the planes, we need to determine how the distance between them changes over time.

the distance between the two planes is represented by the variable D, and time is represented by the variable t.

At noon, the southbound plane starts flying and continues for 4 hours until 4 pm. During this time, the plane covers a distance of 900 km/h * 4 hours = 3600 km due south.

Meanwhile, the eastbound plane is also traveling towards the airport. It starts from a distance of 2000 km away from the airport at 4 pm.

To find the distance between the planes at any given time, we can use the Pythagorean theorem, as the planes are moving at right angles to each other. The distance D between the planes can be calculated as:

D^2 = (2000 km)^2 + (3600 km)^2

Simplifying the equation:

D^2 = 4000000 km^2 + 12960000 km^2

D^2 = 16960000 km^2

Taking the square root of both sides:

D = sqrt(16960000) km

D = 4120 km

Now, we can find the rate of change of the distance between the planes by calculating the derivative of the distance equation with respect to time

dD/dt = 0

Since the distance between the planes is constant, the rate of change is zero.

Therefore, the rate of change of the distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.

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Answer:

free

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

ok then, firstly, lets make line CB into y

sin45 / y = sin 90 / 6\(\sqrt{2}\)

in other words, as sin 90 = 1

y / sin45 = 6\(\sqrt{2}\)

y = sin 45 * 6\(\sqrt{2}\) = 6 as sin 45 = root2/2, and root2 * root 2 = 2, so

6*2/2 = 6

we also know BCD is 30*, as angles in a tri add up to 180*

so, x/sin30 = 6/sin90 = 6

x/sin30 = 6

6*sin30 = x

x = 3 as sin 30 = 1/2

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

As a result, the probability that a randomly selected student in Gianna's probability maths class has read or seen the movie adaptation of her favourite book is 44%.

Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many fields, including statistics, economics, science, and engineering.

solve this problem,

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

P(A) = 28%

P(B) = 36%

P(A and B) = 20%

Using the formula, we can find:

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

P(A or B) = 28% + 36% - 20%

P(A or B) = 44%

As a result, the probability that a randomly selected student in Gianna's maths class has read or seen the movie adaptation of her favourite book is 44%.

As a result, the right answer is (a) 44%.

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Answer: 18x + 12

Step-by-step explanation:

3 ( 6x + 4 )

3 x 6x = 18x

3 x 4 = 12

18x + 12

The correct equivalent expression to the square root containing a variable is 2a³/5 and the correct option is E.

We shall simplify the expression of the square root containing a variable by carrying out basic mathematics operations to derive its equivalent as follows:

squre root of (36a⁸/255a²) = square root of (36a⁶ × a²/255 × a²)

a² is common and can be cancel out

square root of (36a⁸/255a²) = square root of (36a⁶/255)

square root of (36a⁸/255a²) = square of 36 multiplied by the square root of a⁶ all divided by the square root of 255 {take square root of each}

square root of (36a⁸/255a²) = 6a³/15

square root of (36a⁸/255a²) = 2a³ × 3/5 × 3

we divide through by the common factor 3

square root of (36a⁸/255a²) = 2a³/5

Therefore, the equivalent expression to square root of (36a⁸/255a²) is derived as 2a³/5 which is option E.

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Answer:

Mean = 19.84

Standard deviation = 11.12

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf file for the complete question.

The explanation of the answer is now given as follows:

Note: See the attached excel file for the calculation of the total of fx and total of f*x^2.

N = Number of individuals sampled = 200

From the attached excel file, we have:

Total of fx = 3,967

Total of f*x^2 = 103,425.50

Therefore, we have:

Mean = Total of fx / N = 3,967 / 200 = 19.84

Variance = (Total of f*x^2 / N) - Mean^2 = (103,425.50 / 200) - 19.84^2 = 517.13 - 393.43 = 123.70

Standard deviation = Variance^0.5 = 123.70^0.5 = 11.12

Based on characteristics of regular polygons, the area of the regular octagon with an apothema of 17 units is approximately 239.415 square units. #SPJ1

A polygon is regular when all sides and central angles have the same length.The area of a regular polygon (A) can be found in terms of the number of sides (n) and the apothema (a), whose length is 17, by using the following formula:

A = 0.25 · n · a² · tan (180/n)     (1)

If we know that n = 8 and a = 17, then the area of the regular octagon is:

A ≈ 239.415

Based on characteristics of regular polygons, the area of the regular octagon with an apothema of 17 units is approximately 239.415 square units. #SPJ1

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Answer:

9600

Step-by-step explanation:

y varies inversely with the square of x

y=k/(x^2)

for some non-zero constant k

y=6 when x=4

6=k/(4^2)

k=96

y=96/(x^2)

x=0.1

y=96/(0.1^2)

y=9600

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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