6 is 0.2% of what percent?

Answer:-5/4

Step-by-step explanation:

the slope is the number next to the letter X.

x - 12 = b

b + 5 = c

- 12 + 5 = - 7

- 7°F

The correct option is the third one, the explicit formula for the sequence is:

aₙ = 52 - 5n

Here we have what it seems to be an arithmetic sequence:

47, 42, 37, 32, ...

We can see that the difference between each pair of consecutive terms is -5, so that is the common difference of the sequence:

42 - 47 = -5

37 - 42 = -5

32 - 37 = -5

Then the explicit formula for the arithmetic sequence is:

aₙ = a₁ + (n - 1)*d

Where a₁ is the initial value, and d is the common difference.

So the explicit formula is:

aₙ = 47 + (n - 1)*(-5)

We can simplify this to get:

aₙ = 47  - 5n + 5

aₙ = 52 - 5n

The correct option is the third one.

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Answer:

\(x^2 + 32^2 = 50^2\)

x ≈ 38.42

Step-by-step explanation:

The shape formed by the uprooting is a right triangle with a hypotenuse of 50

and a base leg of 32. The other leg is x.

Let's use the pythagorean theorem: \(a^2 + b^2 = c^2\)

Where a and b are the legs, and c is the hypotenuse

\(x^2 + 32^2 = 50^2\)

We can solve for x:

\(x^2 = 50^2 - 32^2\\\\x^2 = 2500 - 1024\\\\x = \sqrt{1476}\\\\x = 38.41874542...... \\\\Approx: x = 38.42\\\\\\\)

x ≈ 38.42

-Chetan K

Answer

5 and a half

Step-by-step explanation:

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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The area enclosed by the closed curve obtained by joining the ends of the spiral r=9θ, 0≤θ≤3.2 by a straight line segment can be found using the formula for the area of a sector of a circle minus the area of a triangle. The spiral can be represented in polar coordinates as r = θ/π.

The first step is to find the values of θ at which the spiral intersects the x-axis, which can be done by setting r = 0. This gives θ = 0 and θ = 9π, since r = 9θ. The area of the sector of the circle enclosed by the curve is given by (1/2)θr^2, where θ is the angle between the two intersection points on the x-axis and r is the maximum value of the spiral's radius. Plugging in θ = 9π and r = 9(9π)/π = 81, we get an area of (1/2)(9π)(81)^2 = 32805.7 square units.

Next, we need to find the area of the triangle formed by the two intersection points on the x-axis and the point where the spiral reaches its maximum radius. This triangle has a base of length 81 (since that is the maximum radius of the spiral), and a height equal to the y-coordinate of the point where the spiral reaches its maximum radius. This y-coordinate can be found by plugging in θ = 3.2 into the equation r = 9θ, giving a maximum radius of r = 28.8. Since the spiral intersects the x-axis at y = 0, the height of the triangle is 28.8. The area of the triangle is therefore (1/2)(81)(28.8) = 1166.4 square units.

Finally, we can find the area enclosed by the closed curve by subtracting the area of the triangle from the area of the sector of the circle:

32805.7 - 1166.4 = 31639.3 square units.

Therefore, the area enclosed by the closed curve obtained by joining the ends of the spiral r=9θ, 0≤θ≤3.2 by a straight line segment is approximately 31639.3 square units.

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The question asks for the term used to describe the process of repeatedly increasing a value by some amount. The answer choices provided are incrementing, accumulating, iterating, and scaling.

The term that describes the process of repeatedly increasing a value by some amount is iterating. Iteration involves performing a series of repeated steps or operations, often with the purpose of gradually changing or updating a value. It is commonly used in programming and mathematics to implement loops or repetitive processes. The other answer choices have different meanings and do not specifically convey the concept of incrementally increasing a value over multiple iterations. Incrementing typically refers to adding a fixed amount to a value, accumulating refers to the process of gradually gathering or collecting values, and scaling typically involves proportionally resizing or changing the magnitude of a value.

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Answer:

4

Step-by-step explanation:

it is how many more

So, the simpler form of the radical expression 4 sqrt 1296 x^16y^12 is 144x^14y^14 sqrt (x) sqrt (y).

To simplify the radical expression 4 sqrt 1296 x^16y^12, we need to first factor the number inside the radical. 1296 can be factored into 36 x 36, which simplifies to 6^4. So, the expression becomes 4 sqrt (6^4 x^16y^12).
Next, we can simplify the expression further by using the property of exponents that says a^m x a^n = a^(m+n). This means that we can combine the exponents of x and y, which gives us 4 sqrt (6^4 x^(16+12) y^(12+16)). Simplifying this, we get 4 sqrt (6^4 x^28 y^28).
Now, we can simplify the radical expression even further by using the property that says sqrt (a x b) = sqrt (a) x sqrt (b). Applying this to our expression, we get 4 x 6^2 x sqrt (x^28) x sqrt (y^28). Simplifying this further, we get 144x^14y^14 sqrt (x) sqrt (y).
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Explanation

Given that Omar paid an $8 fee to start the scooter plus 6 cents per minute of the ride. We can express this as

Let the number of minutes be x. Therefore, we will have

as the payment for riding the bicycle over x minutes.

Therefore, since the total bill for Omar’s ride was $19.34, we will have;

Hence;

Answer: 189 minutes

Answer:

the answer is 207 over 20

Answer:

10.35

Step-by-step explanation:

Here's how i did it:

1) 63756 x 60= 3825360

2) 70 x 5280= 369600

3) 3825360/369600 = 10.35

To prove that two angles in two triangles are congruent, you must use the Angle-Angle Postulate (AA).  The Angle-Angle Postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are congruent.

Therefore, to prove that two angles in two triangles are congruent, you must first show that the two angles have the same measure. This can be done by using the Angle Addition Postulate or by using subtracting the measure of one angle from the measure of the other.

Three vertices and three sides make up a triangle, which is a polygon. The triangle's angles are created when the three sides are joined end to end at a point. The three angles of the triangle sum up to 180 degrees.

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The missing points from the Column is:

Game Free-Throw Percentage:        60  20  60  80

Average Free-Throw Percentage:    70  60  55  56.67

Game       Game           Total              Game                              Average

               Result                               Free-Throw                       Free-Throw

                                                       Percentage                       Percentage

1                8/10              8/10                 80                                  80

2                 6/10            14/20               60                                  70          

3                1/5               15/25                20                                  60        

4                3/5              18/30                60                                  55        

5                8/10             26/40               80                                  56.67                                                          

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The question attached here seems to be incomplete, the complete question is

Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.

Game       Game Result         Total      Game Free-Throw Percentage    Average Free-Throw Percentage

1                        8/10                        8/10                   80                                                           80

2                        6/10                        14/20                    

3                        1/5                        15/25  

4                        3/5                        18/30  

5                        8/10                       26/40  

Answer:

The interest rate would be 2.5%

Answer:

3 hours :)

Step-by-step explanation:

5 km x 3 = 15km

also i hope you can catch up on ur work :)

Answer:

4500/9= 500

Also what did you mean by using metal?

Answer is 500

500 = 5000 to the nearest tenth

500 = 500 to the nearest hundredth

500 = 500 to the nearest thousandth

= 0 to the nearest tenth

= 0 to the nearest hundredth

= 0 to the nearest thousandth

Answer:

Step-by-step explanation:

Calculation:

Answer:

Step-by-step explanation:

= 8^3+7+8+(9*2/3)*2= 8^3+7+8+(18/3)*2= 8^3+7+8+(6)*2= 8^3+7+8+6*2= 512+7+8+6*2= 512+7+8+12= 519+8+12= 527+12= 539

Answer:

y = -2x - 2

Step-by-step explanation:

Given:

m = -2

Slope-intercept:

y - y1 = m(x - x1)

y + 8 = -2(x - 3)

y + 8 = -2x + 6

y = -2x - 2

Answer:

5x + 3y

Step-by-step explanation:

6x − x + 5y − 2y

(6x − x) + (5y − 2y)

5x + 3y

Hope that helps!

Answer:

\(5x+3y\)

Step-by-step explanation:

Given the following question:

\(6x-x+5y-2y\)

In order to find the answer, we combine like terms by adding/subtracting terms with similar variables.

\(6x-x+5y-2y\)
\(6x-x=5x\)
\(5y-2y=3y\)
\(5x+3y\)

Hope this helps.

Answer:

(-8,2)

Step-by-step explanation:

This is because when you reflect a point across the x-axis, the x-coordinate fo the point remains the same and the y-coordinate's sign gets switched.

(x,y) --> (x,-y)

(-8,-2) --> (-8,2)

On average, approximately 3.152 customers will be waiting in the queue at the stadium.

To calculate the average number of customers waiting in the queue, we can use the queuing theory formulas. The arrival rate of customers is given as 180 per minute, which means the arrival rate is λ = 180/60 = 3 customers per second. The service time is given as an average of 21 seconds per customer, so the service rate is μ = 1/21 customers per second.

To calculate the utilization factor (ρ), we divide the arrival rate by the service rate: ρ = λ/μ. In this case, ρ = 3/1/21 = 9.857.

Next, we calculate the coefficient of variation for arrival time (C_a) and service time (C_s) using the given values. C_a = 13% = 0.13 and C_s = 13% = 0.13.

Using the queuing theory formula for the average number of customers waiting in the queue (L_q), we have L_q = ρ^2 / (1 - ρ) * \((C_{a}^2 + C_{s}^2)\) / 2.

Plugging in the values, L_q = \((9.857^2) / (1 - 9.857) * (0.13^2 + 0.13^2) / 2 = 3.152\).

Therefore, on average, approximately 3.152 customers will be waiting in the queue at the stadium.

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It will take 120 minutes for smaller hose to fill the complete swimming pool on its own.

Let us represent the complete swimming pool as 1. Now, total time required to fill the swimming pool is 40 hours. So, amount of swimming pool filled in 1 minute = 1/40

Similarly, amount fo swimming pool filled by larger hose in 1 minute = 1/60

Now for the smaller hose, the amount of swimming pool filled in 1 minute = 1/40 - 1/60

The amount of swimming pool filled in 1 minute = (60 - 40)/2400

The amount of swimming pool filled in 1 minute = 20/2400

The amount of swimming pool filled in 1 minute = 1/120

Total time taken to fill swimming pool = 1 ÷ (1/120)

Total time taken to fill swimming pool = 120 minutes

Thus, 120 minutes are required.

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The estimated number of sugar cubes that remain on Max's pyramid is C. 550 cubes.

To estimate the number of sugar cubes remaining on Max's pyramid, we need to subtract the number of cubes that fell off on the way to school and the number of cubes that Max's friends ate from the original 587 sugar cubes.

Subtracting 34 cubes that fell off on the way to school from 587 gives us 553 sugar cubes. Subtracting another 18 cubes that Max's friends ate from 553, we get 535 sugar cubes remaining on Max's pyramid.

Therefore, the closest answer choice to this estimate is C. 550 cubes.

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Answer:

Yes

Step-by-step explanation:

y=.5x

Answer:

Yes, y=x/2 is a proportional relationship.

Step-by-step explanation:

As x increases, y increases too.

Answer:

y = 75°

Step-by-step explanation:

y and 105°

are on a straight line ,

a straight line is 180°

180 - 105 = 75°

y=75 °

I'm not sure about x hope you understand

The function f(x) is given by (x + 5)² , and the derivative f'(a) is evaluated at a = -5.

To find f(x) and a, we need to simplify the given limit expression and identify the function and the value at which the derivative is taken.

Expanding the expression (5 + h)²  - 25h, we get:

(25 + 10h + h² ) - 25h

25 + 10h + h²  - 25h

h²  - 15h + 25

Now, we can recognize this expression as the square of the binomial (h - 5)² .

Therefore, f(x) = (x + 5)v, where x represents the variable in the function.

To determine a, we consider the limit expression again, which tends to zero as h approaches 0. This indicates that the derivative is evaluated at a point where the function is defined. Since the expression (x + 5)²  represents the square of a binomial, it is symmetric around x = -5. Hence, a = -5.

In summary, the function f(x) is given by (x + 5)² , and the derivative f'(a) is evaluated at a = -5.

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To determine the explicit rule for the nth term of the given geometric sequence 5, 20, 80, 320, 1,280, ..., use the formula:`an = a1 * r^(n - 1)`, where an represents the nth term of the sequence.`a1`represents the first term of the sequence.`r` represents the common ratio between terms of the sequence.

The given sequence is 5, 20, 80, 320, 1,280, ...Let's now apply the formula to find the explicit rule for the nth term of the given sequence.`an = a1 * r^(n - 1)`Where a1 = 5 (first term of the sequence)`r` can be found by dividing any term by the preceding term, as `r = (second term) / (first term)`In this case,`r = (20) / (5) = 4`

Substituting the values in the formula:`an = a1 * r^(n - 1)``an = 5 * 4^(n - 1)` Therefore, the explicit rule for the nth term of the given geometric sequence is `an = 5 * 4^(n - 1)`.You can use this formula to find the value of any term in the sequence, given its position (n) in the sequence.For example, to find the 150th term of the sequence, substitute n = 150 in the formula: `a150 = 5 * 4^(150 - 1)`. This simplifies to `a150 = 1.442 x 10^90`.

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