Find X and Y. Please put an explanation on how you got the answer.

The minutes it take Mai to complete 4 laps of the track would be 6 minutes 24 seconds.

Speed can be calculated as the ratio of distance traveled to the time taken.

Speed = distance /time

Also, Time = distance/ speed

In this case, the distance is 4 laps of 400 meters, so;

4 x 400=1600 meters

Speed = 250 per minute

Now,

Time =1600 meters /250 meter per minute

= 6,40 minutes is the same 6 minutes 24 seconds

Hence, the minutes it take Mai to complete 4 laps of the track would be 6 minutes 24 seconds.

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The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

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The position vector of v with initial point P(6, 1) and terminal point Q(10, 3) is 4i + 2j. So the correct option is option (a) .


To find the position vector, we subtract the coordinates of the initial point P from the coordinates of the terminal point Q. The x-coordinate of Q minus the x-coordinate of P gives 10 - 6 = 4, and the y-coordinate of Q minus the y-coordinate of P gives 3 - 1 = 2.

Therefore, the position vector v is (4i) + (2j), which simplifies to 4i + 2j.

This means that vector v represents a displacement of 4 units in the positive x-direction and 2 units in the positive y-direction from the initial point P to the terminal point Q. Thus, option a, 4i + 2j, correctly represents the position vector for v.

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The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.

Here are the steps to simplify the expression:

Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.

Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.

Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.

Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.

Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.

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Answer: It represents that 2 will be divided into 3 equal parts.

Step-by-step explanation:

The given fraction : \(\dfrac{2}{3}\)

here, Numerator = 2

Denominator = 3

It represents that 2 will be divided into 3 equal parts.

The area of the triangular prism is 336 ft².

Area is the region occuppied by a plane shape.

To calculate the total surface area of the triangular prism, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence the area is 336 ft²

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Answer:

10

Step-by-step explanation:

5 * 9 = 45

45 is the sum of all the ages added up

45 - (5 + 7 + 8 + 15) = 10

The equation for a cosecant function with vertical asymptotes found at x = nπ such that n is an integer is `y = csc(x - nπ)`.

The cosecant function is the reciprocal of the sine function. The cosecant of a particular angle in a right triangle is the ratio of the hypotenuse to the side opposite the angle.

The cosecant function is written as follows: `csc(x) = 1/sin(x)`

Asymptotes are straight lines or curves that a graph approaches but never touches.

As a result, the graph of a curve gets closer and closer to the asymptote as it moves further away from the origin, but it never touches it.

For a function to have vertical asymptotes at `x = nπ`, the denominator of the function should equal zero. In the cosecant function, the denominator is equal to `sin(x - nπ)`.

Therefore, the vertical asymptotes are where `sin(x - nπ) = 0`.

The general form of the cosecant function is `y = A csc(B(x - C)) + D`.

The constants A, B, C, and D are used to alter the form of the graph of the cosecant function.

They can be used to alter the amplitude, period, phase shift, and vertical displacement of the graph, respectively.

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Answer:

8.

Step-by-step explanation:

(8+4)=12. 12 x 1/2 = 6.

Answer:

(0,7) and (0, 7/2).

Step-by-step explanation:

lets start with putting 0 instead of x to get the y-intercept:

x = 0, y= -7

and then we put 0 instead of y to get the x-intercept:

Y = 0, 0=2x-7, x = 7/2

we can put the points (0,7) and (0, 7/2).

Answer:

1. 8 cm

2. 64 cm

3. 512 cm

Step-by-step explanation:

The side lengths of cube are 8

The formula for volume is the length*width*height

A-4*4*4

4*4*4=64 cm

B-8*8*8=512 cm

Answer:1. 8 cm2. 64 cm3. 512 cmStep-by-step explanation:The side lengths of cube are 8The formula for volume is the length*width*heightA-4*4*44*4*4=64 cmB-8*8*8=512 cm

Answer:

- 2

Step-by-step explanation:

\(\frac{-24}{(-3)(-4)} \) = \(\frac{-24}{12} \) = - 2

(a) The probability of no calls between 9 am and 9:05 am on a given morning can be calculated using the Poisson distribution with a rate of 0.6 calls per minute.

(b) Given that there have been no calls between 9 am and 9:05, the probability of exactly 1 call between 9:05 and 9:14 can be calculated using the same Poisson distribution.

(a) To calculate the probability of no calls between 9 am and 9:05 am, we can use the Poisson distribution formula. The rate of the Poisson process is given as 0.6 calls per minute. The time interval from 9 am to 9:05 am is 5 minutes. The Poisson distribution probability mass function is given by P(X=k) = (e^(-λ) × λ^k) / k!, where λ is the average rate and k is the number of occurrences. In this case, k = 0 (no calls) and λ = 0.6 × 5 = 3. Plugging these values into the formula, we get P(X=0) = (e^(-3) * 3^0) / 0! = e^(-3) ≈ 0.0498, which means there is approximately a 4.98% chance of no calls during this time interval.

(b) Given that there have been no calls between 9 am and 9:05, we can update the rate λ to reflect the time interval between 9:05 and 9:14, which is 9 minutes. The new rate is 0.6 × 9 = 5.4 calls. Using the same Poisson distribution formula, we can calculate the probability of exactly 1 call. Plugging k = 1 and λ = 5.4 into the formula, we get P(X=1) = (e^(-5.4) × 5.4^1) / 1! ≈ 0.0127, which means there is approximately a 1.27% chance of exactly 1 call between 9:05 and 9:14, given that no calls were received between 9 am and 9:05.

In summary, the probability of no calls between 9 am and 9:05 am is approximately 4.98%, while the probability of exactly 1 call between 9:05 and 9:14, given that no calls were received between 9 am and 9:05, is approximately 1.27%.

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According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. The correct option is A. 34% and 26%.

According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. This indicates that women are still underrepresented in STEM fields, despite the fact that there has been an effort to attract more women to STEM fields.

In both Canada and the United States, women have made significant progress in breaking down gender barriers in STEM fields. However, there is still work to be done to close the gender gap and increase representation of women in STEM fields.

Women's representation in STEM fields has increased in both Canada and the United States in recent years, but the percentage of women in STEM fields is still significantly lower than the percentage of men. More efforts are needed to close the gender gap in STEM fields and encourage more women to pursue STEM careers.

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Answer:

Step-by-step explanation:

We know that:

We will need to find the radius to find the area of the circular track. Let's simplify the equation 2πr = 440.

Now, let's substitute the radius into πr².

Hence, the amount of sod that is needed is 15400 yards².

Answer:

WHAT SCHOOL U IN

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

6.75 x 10=67.50   7 x 1.99=13.93  +15.00

67.50+ 13.93+ 15.00= 96.43

It would be beneficial for the company to use higher-quality components despite the increase in variable expenses.

2-a. From the original data, the net operating income (NOI) of Hermann Corporation can be calculated as follows: Sales revenue = Selling price x Units sold = $90 x 2,000 = $180,000Variable expenses = Variable expenses per unit x Units sold = $63 x 2,000 = $126,000Contribution margin = Sales revenue - Variable expenses = $180,000 - $126,000 = $54,000Fixed expenses = $30,000 Net operating income = Contribution margin - Fixed expenses = $54,000 - $30,000 = $24,000

Now, if the company uses higher-quality components, then: Variable expenses per unit = $63 + $2 = $65Contribution margin per unit = $90 - $65 = $25Units sold = 2,000 x 1.10 = 2,200So, the new net operating income will be: Sales revenue = Selling price x Units sold = $90 x 2,200 = $198,000 Variable expenses = Variable expenses per unit x Units sold = $65 x 2,200 = $143,000Contribution margin = Sales revenue - Variable expenses = $198,000 - $143,000 = $55,000

Net operating income = Contribution margin - Fixed expenses = $55,000 - $30,000 = $25,000Therefore, the net operating income will increase by $1,000 per month if the company uses higher-quality components that increase the variable expense by $2 per unit and increase unit sales by 10%.2-b. Based on the calculations above, it can be seen that using higher-quality components will increase the net operating income of Hermann Corporation by $1,000 per month.

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Answer:

20 gallons of water.

Step-by-step explanation:

4 water bottles = 8 gallons

1 water bottle = 2 gallons

X = Number of Water bottles

N = Gallons Per Water Bottle

X * N

10 * 2

20

No, a reaction does not occur when aqueous solutions of chromium(II) bromide and aluminum acetate are combined. To determine if a reaction occurs between chromium(II) bromide (CrBr2) and aluminum acetate (Al(CH3COO)3).

We need to consider the solubility rules and potential chemical reactions between the ions. According to the solubility rules, bromides (Br-) are generally soluble in water, and acetates (CH3COO-) are also soluble. Therefore, both chromium(II) bromide and aluminum acetate will dissociate into their respective ions when dissolved in water.

The ions present in chromium(II) bromides are Cr2+ and Br-. The ions present in aluminum acetate are Al3+ and CH3COO-. When these solutions are combined, there are no double replacement reactions or precipitation reactions that occur between the ions.

Since there is no reaction between the ions, we can conclude that no new compounds or products are formed. Hence, the answer is that no reaction occurs when aqueous solutions of chromium(II) bromide and aluminum acetate are combined. As no net ionic equation is required in this case, the explanation above is sufficient to state that there is no reaction between chromium(II) bromide and aluminum acetate.

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Answer: \(\Large\boxed{x=6.5}\)

Step-by-step explanation:

Given equation

-9 - (x + 1) = -2 - (3x - 5)

Expand the parenthesis

-9 - x - 1 = -2 - 3x + 5

Combine like terms

-9 - 1 - x = -2 + 5 - 3x

-10 - x = 3 - 3x

Add 3x on both sides

-10 - x + 3x = 3 - 3x + 3x

-10 + 2x = 3

Add 10 on both sides

-10 + 2x + 10 = 3 + 10

2x = 13

Divide 2 on both sides

2x / 2 = 13 / 2

\(\Large\boxed{x=6.5}\)

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The expression is (3+4=5) Or (3+4≥5). The expression is false. The expression as (3+4=7) or(3+4>5). The number 7 is true.

Given that,

The expression is (3+4=5) Or (3+4≥5).

We have find the value and the expression is true or false.

The expression is false

3+4=5

7=5

The number 7 is not equal to 5.

Now

3+4≥5

7≥5

The number 7 is not equal to 5 but it is greater then 5.

So, we can write the expression as (3+4=7) or(3+4>5)

Therefore, The number 7 is not equal to 5 or The number 7 is not equal to 5 but it is greater then 5. The expression as (3+4=7) or(3+4>5).

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To solve:

We multiply the denominator by 5:

To write it as a simplified fraction, we can note that 4 * 6 = 24

Then:

The probabilities of each number are equal. Then statements A and C are correct.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Given

Pedro has a spinner with 4 sections numbered 1 through 4.

Pedro spins the spinner 100 times and records the results.

He calculates the relative frequency of each outcome.

Outcome                                 1                2              3               4

Relative Frequency             0.24          0.25        0.26          0.25

A)  A uniform probability model is a good model to represent probabilities related to the numbers generated in Pedro's experiment. This statement is correct.

B)  The theoretical probability that any one number is chosen is likely 0.20. This is incorrect because every number has an equal probability.

C)  It is likely that the spinner is fair. This statement is correct because the probabilities of each number are equal.

D)  The relative frequencies in the table are very different. This statement is incorrect. Because numbers 2 and 4 have the same frequency and the number 1 and 3 have slightly different frequencies.

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The angles in a triangle always add up to 180°, regardless of the type of geometry. This holds true for flat, spherical, and saddle-shaped geometries. The sum of the angles in any triangle is a fundamental property of Euclidean geometry.

This is known as the Triangle Sum Theorem.In spherical geometry, which is the geometry on the surface of a sphere, the sum of the angles in a spherical triangle also adds up to 180 degrees. However, the angles in a spherical triangle are measured in spherical degrees instead of regular degrees.

In hyperbolic geometry, which is a non-Euclidean geometry with a saddle-shaped curvature, the sum of the angles in a hyperbolic triangle is still 180 degrees, but the individual angles can have negative values or be greater than 180 degrees in terms of regular degrees.

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Answer:

Here is the sample space:

(1, 1), (1, 2) (1, 3), (2, 1), (2, 2), (2, 3), (3, 1),

(3, 2), (3, 3)

Answer:

95 in.²

Step-by-step explanation:

Total surface area of the rectangular pyramid = 4(area of triangle) + area of rectangle

Area of triangle = ½*base*height

base = 5 in.

height = 7 in.

Area of triangle = ½*5*7 = 17.5 in.²

Area of rectangle = Length*width = 5*5 = 25 in.²

Plug in the values

Total surface area of the rectangular pyramid = 4(17.5) + 25

= 95 in.²

Answer:

-3

Step-by-step explanation:

The point which is a solution to the system of inequalities y > 4x and y > -2x - 3, is (-1/2, -2)

A system of inequalities is a set of two or more inequalities in one or more variables.

Given is a system of inequalities :- y > 4x and y > -2x - 3, we need to find a point which will be the solution of the given system,

The given inequalities are :-

y > 4x

y > -2x-3

To solve this, equate the RHS of both the inequalities :-

4x = -2x-3

4x+2x = -3

6x = -3

x = -1/2

Put x = -1/2 in any of the inequality,

y = 4(-1/2)

y = -2

Therefore, we get a point (-2, -1/2) this a point which is a solution of the given system,

We can also find this graphically, we will plot a graph of the given system of inequalities, and where the lines intersects will be the solution to the system of inequalities,

On plotting the graph, we get (-1/2, -2) is the point of the intersection, [refer to graph attached]

Hence, the point which is a solution to the system of inequalities y > 4x and y > -2x - 3, is (-1/2, -2)

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The mean and standard deviation of the probability distribution using Excel. Remember to round the values to three decimal places as specified.

To find the mean and standard deviation of the probability distribution using Excel, you can follow these steps:
1. Enter the given data into an Excel spreadsheet. In one column, list the number of people, X, that retired individuals considered close friends, and in the next column, list the corresponding probabilities.
2. In a new cell, use the formula "=SUMPRODUCT(A2:A6*B2:B6)" to find the mean. This formula multiplies each value of X by its corresponding probability, and then sums the results.
3. Round the mean to three decimal places using the "ROUND" function. For example, if the mean is in cell C2, the formula would be "=ROUND(C2, 3)".
4. In another new cell, use the formula "=SQRT(SUMPRODUCT((A2:A6-C2)^2*B2:B6))" to find the standard deviation. This formula calculates the sum of the squared differences between each value of X and the mean, weighted by their corresponding probabilities, and then takes the square root of the result.
5. Round the standard deviation to three decimal places using the "ROUND" function. For example, if the standard deviation is in cell D2, the formula would be "=ROUND(D2, 3)".
By following these steps, you can find the  mean  and standard deviation of the probability distribution using Excel. Remember to round the values to three decimal places as specified.

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