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A day on the moon (from sunrise to sunrise) is approximately 29.5 Earth days or about 23 hours and 56 minutes.

A day on the moon, known as a "lunar day," lasts approximately 29.5 Earth days.

This means that it takes 29.5 Earth days for the moon to rotate once on its axis and complete one full rotation.

This is due to the fact that the moon rotates very slowly and takes a long time to complete one full rotation. It is also worth noting that a lunar day is also referred to as a "synodic month" and that a lunar day is longer than a solar day,

which is the time it takes for the sun to return to its highest point in the sky. The length of a solar day on the moon is about 23 hours and 56 minutes.

Thus, a day on moon  (i.e., from sunrise to sunrise) is 3 hours and 56 minutes.

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3349/1260 is the amount, according to the provided document.

The outcome of an addition is a total. For instance, adding 1, 2, 3, and 4 results in the printed number 10. (1) Addends—also known as summands—are the integers that are being added together.

(a)

[tex]\begin{aligned}& \text { D) } \sum_{j=1}^7 \frac{2}{j+2} \\& j=1 ; \frac{2}{1+2}=\frac{2}{3} \\& j=2 ; \frac{2}{2+2}=\frac{2}{4}=\frac{1}{2} \\& j=3 ; \frac{2}{3+2}=\frac{2}{5} \\& j=4 ; \frac{2}{4+2}=\frac{2}{6}=\frac{1}{3} \\& j=5 ; \frac{2}{5+2}=\frac{2}{7} \\& j=6 ; \frac{2}{6+2}=\frac{2}{8}=\frac{1}{4} . \\& j=7 ; \frac{2}{7+2}=\frac{2}{9} \\& \sum_{j=1}^7 \frac{2}{j+2}=\frac{2}{3}+\frac{1}{2}+\frac{2}{5}+\frac{1}{3}+\frac{2}{7}+\frac{1}{4}+\frac{2}{9} \\& =\frac{3349}{1260}\end{aligned}[/tex]

(b)

[tex]\begin{aligned}\frac{7}{2} \frac{8+0}{2} & =\frac{840}{1}+\frac{840}{2}+\frac{840}{3}+\frac{840}{4}+\frac{840}{5}+\frac{840}{6}+\frac{840}{7} \\& =840+420+280+210+168+140+120\end{aligned}[/tex]

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The amount of Mark-up of crystal sculpture is $ 244.18.

The purchased price for crystal sculpture that store pays is $842.00. 

The store increase the percentage of price is by 29%.

So to find the amount of mark up price on crystal sculpture we have to find the value of increased percentage on purchased price ($842.00) of sculpture.

The 29% of $842.00 is = $ 842.00  *  29%

= $ 842.00 * 29/100

= $ 244.18                                

so the Mark-up amount of crystal sculpture is = $ 244.18.

The store has a make-up amount of $244.18 on the purchased amount of crystal sculpture which cost them $842.00.

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Answer:

960,000

Step-by-step explanation:

Every year, the number of blogs doubled.

The first year:60,000

The Second year: 120,000

The third year: 240,000

The fourth year: 480,000

The fifth year: 960,000

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The third side may be 6 or 9 metres long, or it may be between 9 and 15 miles long.

Depending on the lengths of the other two sides, the triangle's third side can have a variety of lengths. The third side's length could range from 9 to 15 metres if the first two sides are 6 and 9 miles, respectively. The reason for this is that the length of any two sides of a triangle must always be greater than the length of the third side; in this instance, the sum of the two sides is 15 metres, or 6 and 9 metres. As a result, the triangle's third side must be either less than or equal to 15 metres. A triangle can also have two equal sides, so the third side could also be equal to 6 or 9 metres. In conclusion, the third side of the triangle may be anywhere between 9 and 15 metres long, or it could be 6 or 9 metres long.

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Answer:

Step-by-step explanation:

This statement is incorrect. 12 is a product of 3 and 4, or 12 = 3 * 4.

Let pp be the number of players. We can write an equation to solve for the number of players.

1581.75 - 968.50 - (pp × 55.75) = 0

1581.75 - 968.50 - 55.75pp = 0

-55.75pp = -613.25

pp = 11

Therefore, the team can bring 11 players to the tournament. To find this, we subtracted the cost of the bus (968.50) and the cost of meals per player (55.75pp) from the total amount raised (1581.75).

We then divided both sides by -55.75 to solve for the number of players (pp) on the team.

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The graph of C against d for 0 ≤ d ≤ 7 is a straight line passing through (0, 50), (1, 70), ...

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given is an equation,

C = 20d + 50

We have to find the graph of the equation.

The points on the graph will be,

C(0) = 50

C(1) = 70

C(2) = 90

.........

The graph will be a straight line passing through (0, 50), (1, 70), (2, 90), ...

The graph is given below.

Hence the graph will be a straight line passing through (0, 50), (1, 70), ...

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Answer:

5 1/20

Step-by-step explanation:

5.05 = 5 + 0.05 = 5 + 1/20 = 5 1/20

Answer: 5 1/20

Step-by-step explanation:

Split it into 2 parts:

5+0.05

0.05=5/100

Simplify:

1/20

Overall, the answer is 5 1/20

Brainliest please! I would apperciate it.

Answer: 3.65

Step-by-step explanation:

j=20

Substitute: 20-16.35

20.00-16.35=

3.65

Answer:

3.65

Step-by-step explanation:

Looking at the equation j - 16.35, if we substitute j for 20, the new equation will look like this:

Therefore, the value of the expression is 3.65 if we were to substitute j for 20.

The answer is 25. 25 is the heaviest possible weight for pack i.e. for d among pack of a, b, c, and d.

let (a, b, c, d) be the packs sorted from lightest to heaviest.

The following four equations must hold:

a + b = 34

a + c = 37

b + d = 43

c + d = 46

we then have a pair of equations which can be satisfied in two ways:

b + c = 39 and a + d = 41

or

b + c= 41 and a + d = 39

Solving the first set of 6 equations gets:

(a, b, c, d) = (16, 18, 21, 25)

Solving the second set gets:

(a, b, c, d) = (15, 19, 22, 24)

Therefore, 25 is the heaviest possible weight for pack d.

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By the figure of a circle, 70% of the figure is shaded.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

A circle divided into ten equal parts. Seven of the parts are shaded.

Now, Number of total parts = 10

And, Shaded parts of a circle = 7

Hence, The percent of shaded part is,

⇒ Shaded part / Total parts × 100

⇒ 7/10 × 100

⇒ 70%

Thus, There are 70% of the figure is shaded.

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Ethan deposited amount $144,000 over 31 years and made a total of $565,165.25 in interest.

Ethan's total deposit amount to his IRA was $144,000 ($400 per month for 31 years). The total amount he had in his IRA upon retirement was $709,165.25. This means that he made a total of $565,165.25 ($709,165.25 - $144,000) in interest over the length of the investment. This amount was likely made up of a combination of capital gains, dividends, and other investment returns. It is important to note that the interest rate can vary depending on the type of investments chosen, so this amount may be higher or lower depending on the types of investments made.

1. Calculate the total number of months Ethan invested for: 31 years x 12 months = 372 months

2. Calculate the total amount deposited: $400 per month x 372 months = $148,800

3. Calculate the total amount upon retirement: $709,165.25

4. Calculate the total interest made: $709,165.25 - $148,800 = $565,165.25

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The probability their sum is greater than their product is 11/36.

For at least a single two numbers is 1 when they are randomly selected from the range of 1, 2, 3, 4, 5, and 6.

Success is defined as a measure of probability when there is a number of potential outcomes.

For instance, there is the chance of tossing a coin & obtaining heads is 1 in 2, and there is only one way to acquire a head and there are a total of 2 possible outcomes head or tail.

Now we can indicate this with P(heads)

12 P(at least 1 one) = 1 - P. (no ones)

P(no ones)=(5/6)*(5/6)

25/36 P(at least 1 one)=(1 - 25/36).

P(sum higher than product)=P(at least 1 one) = 11/36

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The function f(x) is the sloping trail, it is the ratio of the change in the trail's height over the change in the trail's length.

It is the same as the rate of change of an evaluation of the trail, which is the derivative of a function that gives us the elevation. Thus, for a function F(x) that gives us the elevation, f(x)=F(x).

When we integrate a derivative, we can form a rate of change to total change. Thus integrating f(x) over an interval then the total change in elevation within that interval.

In this case, we will have to solve the integral:

[tex]\int\limits^9_7 {f(x)} \, dx[/tex]

The bounds of integration are 7 to 9, so this calculates the total change in elevation between 7 to 9, which is the total change in the elevation in the first seven miles of the trail.

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Answer:

Step-by-step explanation:

Cos0 = adj/hyp

cos0 = 40/41

find the inverse cos of that.

0 = cos^-1(40/41)

0 = 12.68

Answer:

The result of 8 minus 3 is 5. Then, if you subtract u from 5, the result is 5 - u.

Answer: 5-u

Step-by-step explanation: Subtracting 3 from 8 is 5. Subtracting u from the result is 5-u.

Answer:

x = -4, y = 7

Step-by-step explanation:

The two equations are:

5x + y = -13  ... (1)

-5x - 6y = -22 ...(2)

Isolate for x in (1)

5x + y = -13

5x = -13 -y

x = (-13-y)/5

Substitute this value of x into equation (1) -5x - 6y = -22

-5 · (-13-y)/5 -6y = -22

-1(-13-y) - 6y = -22

13 + y -6y = -22

y - 6y = -22 - 13

-5y = - 35

y = -35/-5 = 7

Substitute y = 7 in equation 1
5x + 7 = -13

5x = -13 - 7

5x = -20

x = 20/-5 = -4

Ans:

x = -4, y = 7

The probability of a card being black given it is a queen is P(A|B) = P(A ∩ B) / P(B) = (4/52) / (4/52) = 1. This means that if you draw a queen from a standard deck of 52 cards, it will be black with a probability of 100%.

The probability of a card being black given it is a queen can be determined using the formula P(A|B) = P(A ∩ B) / P(B). Where P(A) is the probability of a card being black and P(B) is the probability of a card being a queen.

To calculate this, we first need to calculate the probability of a card being a queen, which is 4/52 (there are 4 queens in a standard deck of 52 cards). The probability of a card being black is 26/52 (there are 26 black cards in a standard deck of 52 cards).

Using the formula, the probability of a card being black given it is a queen is P(A|B) = P(A ∩ B) / P(B) = (4/52) / (4/52) = 1. This means that if you draw a queen from a standard deck of 52 cards, it will be black with a probability of 100%.

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Based on the U.S. Dollars to British Pounds exchange rate, when John changes these dollar notes to pounds, the amount he will get in total is £186.05.

The exchange rate is the unit rate at which two or more currencies are exchanged or transacted.

The exchange rate is the ratio that shows the value of one country's currency compared to another country's currency.

Notes    $50    $20     $10     $5      Total

Number     1         7         3       4

Total     $50    $140   $30   $20     $240

The exchange rate from British Pounds to U.S. Dollars is given as £1 = $1. 29.

Therefore, $240 = £186.05 ($240/$1.29)

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Answer:

Therefore, there is 8 children that is 9 years old and 6 children that is 11 years old.

Step-by-step explanation:

Let x be the no. of 9 years old and y be the no. of 11 years old.

x+y= 14 (1)

9x+11y= 138 (2)

From (1) :

x=-y+14 (3)

sub (3) into (2) :

9(-y+14)+11y= 138

-9y+126+11y=138

2y= 138-126

y= 6 (4)

sub (4) into (1) :

x+6= 14

x= 8

There are the four possible combinations of day and movie genre that Marty can choose from.

Marty has two options for the day of the week to go to the movie (Friday or Saturday) and two options for the movie genre (Comedy or Action).

Therefore, the list of all possible outcomes of one movie on one day is:

These are the four possible combinations of day and movie genre that Marty can choose from.

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Assuming that "in an easterly direction" means that the displacement from O to P is in the positive direction, the position of point P can be expressed as +50 km.

Positive numbers are typically expressed with no sign or with a plus sign (+) in front of them. For example, +5 or 7. Negative numbers are expressed with a minus sign (-) in front of them. For example, -3 or -10.

These expressions are used to differentiate between values that are greater than zero (positive) and those that are less than zero (negative).

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You would need a sample size of 384 in order to create a population proportion with a margin of error of no more than 0.025 and a 95% confidence interval.

In order to calculate the sample size needed for a 95% confidence interval with a margin of error of no more than 0.025, the formula to use is the following:

[tex]n = (z-score)^2 * p * (1-p) / (margin of error)^2[/tex]

Where n = sample size, z-score = 1.96 (for 95% confidence interval), p = 0.5 (the expected population proportion) and margin of error = 0.025.

Substituting these values into the equation, we get:

[tex]n = (1.96)^2 * 0.5 * (1 - 0.5) / (0.025)^2\\n = 384[/tex]

Therefore, you would need a sample size of 384 in order to create a population proportion with a margin of error of no more than 0.025 and a 95 %  confidence interval.

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The selling price of each item when matched with the correct problem is :

Cost of CD : 14 . 50. Mark up : 30 % :

= 14. 50 x ( 1 + 30 % )

= $ 18. 85

Original price of a book : $ 18. 50, discount 45 %:

= 18. 50 x ( 1 - 45 % )

= $ 10. 18

Original price of shorts : $ 19. 99 , Tax 2%:

= 19. 99 x ( 1 + 2 %)

= $ 20. 39

Cost of MP3 Player : $ 129. 50. Mark up : 60 % :

= 129. 50 x ( 1 + 60 % )

= $207. 20

Original price of Concert tickets : $ 100. 00, discount 21 %:

= 100 x ( 1 - 21 % )

= $ 79

Original price of x - box game: $ 49. 95 , tax 3 %:

= 49. 95 x ( 1 + 3 % )

= $ 51. 45

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The percentage of her income is 17.9%

Percentage can be calculated by using the following rule:

Percentage = (fraction/total) x 100

Now, for this problem, the fraction of money used for expenses is 275$ while the total amount is 1536$

Substitute with these values in the above equation:

percentage = (275/1536) x 100 = 17.9%

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Correct question:

Juliet's budgets $275 each month for fixed expenses. What percent of her income is that amount if she nets $1536 each month?

The equation does not have solution is 13−4x+2=3x−7x+2

An equation is a statement that equals two algebraic expressions with 'equal to' symbol (=).

consider the given equations,

10−3x−1=7+3x+2, x=0 is the solution for this equation.

12−7x−10=x−8x+2, all real values makes this equation true, so the solution is (-∞,∞)

13−4x+2=3x−7x+2 has no solution.

15−2x−2=10x+3x+2 , has solution [tex]x=\frac{11}{15}[/tex].

Hence, equation with no solution is 13−4x+2=3x−7x+2.

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Check the picture below.

[tex]\sin(35^o )=\cfrac{\stackrel{opposite}{ST}}{\underset{hypotenuse}{34}}\implies 34\sin(35^o)=ST[/tex]

A graph of the linear function with its points is shown in the image attached below.

In order to use the given linear function to complete the table, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;

When the value of x = 0, the linear function is given by;

y - x = 4

y = x + 4

y = 0 + 4

y = 4

(x, y) = (0, 4).

When the value of x = 1, the linear function is given by;

y = x + 4

y = 1 + 4

y = 5

(x, y) = (1, 5).

When the value of x = 2, the linear function is given by;

y = x + 4

y = 2 + 4

y = 6

(x, y) = (2, 6).

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