Some number subtracted by -6 is 41. Multiply this number by-3. Then divide
this number by -4. What is the final number?

Brian will get £1,557.72 after an exchange rate of R2100 and paying a commission of 1.5%.

For calculating the number of British pounds that the person will receive after exchanging R2100 and paying a commission of 1.5%, firstly we have to Calculate the commission amount, i.e.

C = 1.5% of R2100

C = 0.015 x R2100

C = R31.50

Subtracting the commission from the total amount to be exchanged,

Amount after commission

= R2100 - R31.50

= R2068.50

Now, converting the amount after a commission from the South African rand to British pounds,

Pounds = Amount after commission x Exchange rate

Pounds

= R2068.50 x 0.75199

= £1,557.72

Therefore, the person will receive £1,557.72 after exchanging R2100 and paying a commission of 1.5%.

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Answer:

20 books

Step-by-step explanation:

Fractions and all that.

The number of arrangements of letters in REPETITION with the first E occurring before the first T is 362,880 - 40,320 = 322,560

To find the number of arrangements of letters in the word REPETITION where the first E occurs before the first T, we can approach the problem by breaking it down into simpler steps.

Step 1: We need to determine the total number of arrangements of the letters in REPETITION. Since there are 9 letters in the word, the total number of arrangements can be calculated using the formula for permutations of n objects taken r at a time, which is n!/(n-r)!. In this case, we have n=9 and r=9, so the total number of arrangements is 9! = 362,880.

Step 2: We need to count the number of arrangements where the first E occurs before the first T. To do this, we can first fix the positions of the first E and T in the word. There are 9 possible positions for the first letter, 8 remaining positions for the second letter, and so on, down to 1 possible position for the ninth letter. This gives us a total of 9x8x7x6x5x4x3x2x1 = 362,880 possible arrangements of the letters in REPETITION.

However, we want to exclude the arrangements where the first T appears before the first E. To do this, we can fix the position of the first T and count the number of arrangements of the remaining letters. There are 8 possible positions for the first T, and then 7 remaining positions for the second letter, and so on, down to 1 possible position for the eighth letter. This gives us a total of 8x7x6x5x4x3x2x1 = 40,320 arrangements where the first T appears before the first E.

Therefore, the number of arrangements of letters in REPETITION with the first E occurring before the first T is 362,880 - 40,320 = 322,560.

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Answer:

the answer is

-17-1/17-2=-18/15=Slope

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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F is not a gradient vector field. we have calculated non-zero values for both Jc1 F.dr and Jc2 F.dr, it implies that F is not conservative.

Jci F. dr =  8/15

Jc2 F. dr = 2

To compute the line integrals Jc1 F.dr and Jc2 F.dr, we will parameterize the curves c1(t) and c2(t) and evaluate the dot product between the vector field F and the corresponding tangent vectors.

For c1(t) = (t, t²), where 0 ≤ t ≤ 1:

Jc1 F.dr = ∫[0,1] F(c1(t)) ⋅ c1'(t) dt

= ∫[0,1] (t² + t⁴, 4t³) ⋅ (1, 2t) dt

= ∫[0,1] (t² + t⁴) + 8t⁴ dt

= ∫[0,1] t² + 9t^4 dt

= [t³/3 + t⁵/5] from 0 to 1

= (1/3 + 1/5) - (0/3 + 0/5)

= 8/15

For c2(t) = (t, t), where 0 ≤ t ≤ 1:

Jc2 F.dr = ∫[0,1] F(c2(t)) ⋅ c2'(t) dt

= ∫[0,1] (t² + t², 4t²) ⋅ (1, 1) dt

= ∫[0,1] 2t² + 4t² dt

= ∫[0,1] 6t² dt

= [2t³]₀¹

= 2

From the computed line integrals, we have Jc1 F.dr = 8/15 and Jc2 F.dr = 2.

To determine whether F is a gradient vector field, we can check if it satisfies the condition of conservative vector fields. If F is conservative, then its line integral along any closed curve should be zero. However, since we have calculated non-zero values for both Jc1 F.dr and Jc2 F.dr, it implies that F is not conservative.

Therefore, F is not a gradient vector field.

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Answer: 39

Step-by-step explanation:

Answer:

um i think  about 39 foot it has been a little scenes i have done this

Step-by-step explanation:

In the context of data patterns in a time series, regular patterns in a data series that take place over long periods of time are called trends.

A trend is a long-term direction in which a series of data points moves. In other words, it describes how the data varies over time in a specific direction (upward, downward, or horizontal).

There are three types of trends: upward trend, downward trend, and horizontal trend (also known as stationary trend). An upward trend indicates that the data is increasing over time, while a downward trend indicates that the data is decreasing over time.

On the other hand, a horizontal trend indicates that the data is stable or random over time, and it's neither increasing nor decreasing.

For instance, in the figure below, the green line represents an upward trend, the red line represents a downward trend, and the blue line represents a horizontal trend.

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The y component of vector B can be found using the equation A×B = 82k. Since vector A = 135i, then the y component of vector B must be 82 / 135.

We know that A×B = |A||B|sinθn, where θ is the angle between A and B, and n is the unit vector perpendicular to both A and B (which points either in the positive or negative z direction).

In this problem, A = 135 i and A×B = 82 k, so we have:

|A||B|sinθn = 82 k

|A| = 135

|A×B| = 82

The magnitude of the cross-product is |A||B|sinθ, so we can solve for sinθ:

|A×B| = |A||B|sinθ

82 = 135|B|sinθ

sinθ = 82 / (135|B|)

Since we know that B is perpendicular to A, we can say that B has the form B = b j, where b is some scalar and j is the unit vector in the y direction. Then we have:

A•B = 0

135(0) + b y = 0

y = 0

But we also know that the cross-product of A and B points in the z direction, so the angle θ between A and B must be in the x-y plane (since A and B are both in the x-y plane). This means that sinθ = 1, so we have:

|A×B| = |A||B|sinθ

82 = 135|B|

|B| = 82 / 135

Therefore, the y component of vector B is:

y = b|j| = b = 0 + b j = (82 / 135) j

So the answer is y = 82 / 135.

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A temperature change of 20°C corresponds to a Fahrenheit temperature change of 36°F. The Fahrenheit scale has a different conversion formula than the Celsius scale, resulting in a larger change in degrees for the same temperature difference.

To convert from Celsius to Fahrenheit, we use the formula: F = (C * 9/5) + 32, where F represents the temperature in Fahrenheit and C represents the temperature in Celsius.

In this case, the temperature change is given as 20°C. To find the corresponding Fahrenheit temperature change, we apply the conversion formula: F = (20 * 9/5) + 32 = 36 + 32 = 68°F.

Therefore, a temperature change of 20°C corresponds to a Fahrenheit temperature change of 68°F. Among the given answer choices, the closest option is 36°F.

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The relative retention of compound B with respect to compound A is 0.053.

The relative retention is defined as the ratio of the difference in retention times of two compounds (α) to the retention time of the first eluting compound (tr1):

α = (tr2 - tr1) / tr1

where tr2 is the retention time of the second compound.

In this case, compound A eluted at 12.63 min and compound B eluted at 13.30 min. The compound that is not retained by the stationary phase eluted at 1.145 min.

Therefore, tr1 = 1.145 min, tr2 = 13.30 min, and:

α = (13.30 - 12.63) / 12.63

α = 0.053

Therefore the relative retention of compound B with respect to compound A is 0.053.

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Answer:

it is easy it is 3833

Step-by-step explanation:

The money saved by Raj from the given conditions is $950.

Given that, Raj, Devi and Miko have managed their savings well.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

The ratio of Devi to Miko's savings is 3:11.

So, Devi's saving is 3x and Devi to Miko's savings is 11x.

The sum of Raj and Devi's savings is $1181. Raj and Miko's savings sum up to $1797.

Let y be the Raj's saving.

Now, y+3x=1181 --------(I) and y+11x=1797 --------(II)

From equation (I), y=1181-3x

Substitute y=1181-3x, in equation (II), we get

1181-3x+11x=1797

⇒ 8x=1797-1181

⇒ 8x=616

⇒ x=616/8

⇒ x=77

So, y=1181-3x=1181-231

=$950

Hence, the money saved by Raj from the given conditions is $950.

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The required experimental probability that the next batter will get a hit is 2/11.

A number that indicates how likely an event is to occur is called its probability. It is communicated as a number in the reach from 0 and 1, or, utilizing rate documentation, in the reach from 0% to 100 percent. The higher the probability, the more likely the event is to occur.

The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials or events.

In this case, we are given that 4 out of 22 batters have gotten a hit so far. Therefore, the experimental probability that the next batter will get a hit is:

P(hit) = Number of hits / Total number of batters

P(hit) = 4/22

Simplifying:

P(hit) = 2/11

Therefore, the experimental probability that the next batter will get a hit is 2/11.

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Answer:

Increasing

Step-by-step explanation:

We are given the function:

\( \displaystyle \large{5y = x - 2}\)

Since y is the function of x; we isolate y by dividing both sides by 5.

\( \displaystyle \large{ \frac{5y}{5} = \frac{x - 2}{5} }\)

Thus:

\( \displaystyle \large{ y = \frac{x - 2}{5} }\)

Simplify the expression, separating the fraction.

\( \displaystyle \large{ y = \frac{x}{5} - \frac{2}{5} }\)

Familiar with this equation? This function is a linear function.

Now to the increasing and decreasing part. There are several ways to find whether if the graph is increasing.

I will demonstrate the first method. Start from substituting negative to positive, if we keep substituting higher numbers and we get higher y-value then the graph is increasing.

If we substitute higher numbers but we get lower y-value then the graph is decreasing.

Substitution

y = -1/5 - 2/5 = -3/5

y = 0-2/5 = -2/5

y = 1/5-2/5 = -1/5

y = 2/5-2/5 = 0

y = 3/5-2/5 = 1/5

y = 4/5-2/5 = 2/5

y = 5/5-2/5 = 3/5

y = 6/5-2/5 = 4/5

...

As so on, as we see, when x keeps increasing, y increases too.

Therefore, the graph is increasing.

Answer:

the missing numbers are -1, 3,

Step-by-step explanation:

11-7=4

sooo

-5+4= -1

-1+4=3

The relationship between the base of the cone and the angle of the plane that intersects the cone is that the plane must be at a 45 degree angle to the base of the cone. Thus, Option D is correct.

According to the statement

we have given that the to form a ellipse we use the base and angle of the cone, And we have to tell the relationship between them.

So, For this purpose, We know that the

An ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.

And to make a ellipse the relationship between the base of triangle and the angle of the cone is that the

The plane must be at a 45 degree angle to the base of the cone.

By this way we make a ellipse with the help of the cone.

So, The relationship between the base of the cone and the angle of the plane that intersects the cone is that the plane must be at a 45 degree angle to the base of the cone. Thus, Option D is correct.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

To form an ellipse, what is the relationship between the base of the cone and the angle of the plane that intersects the cone?

A. The plane is parallel to the base of the cone..

B. The plane may be perpendicular to the base of the cone..

C. The plane is at an angle that is neither parallel nor perpendicular to the base of the cone.

D. The plane must be at a  angle to the base of the cone.

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Answer:

The plane is at an angle that is neither parallel nor perpendicular to the base of the cone.

Step-by-step explanation:

The plane doesn't need to be at an exact angle of 45 degrees. The most important thing is that the angle isn't parallel or perpendicular to the base of the cone, but it has to be non-zero without intersecting the base itself. It also only intersects one of the cones when looking at a double-cone.

The value of angle with x, given the equation on the circle, is 4) 3.

The angle is given by the expression:
31x + 3

The same angle is shown to be a right angle with the line EF being straight and therefore a right angle. Right angles have a total measure of 90 degrees.

The value of x can therefore be found by equating the expression to 90 degrees:
31x + 3 = 90

31 x = 90 - 3

x = 87 / 31

x = 2.8

x = 3

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one pipe 6 hours fill

two pipe 6 ÷2= 3 hours

Answer:

x=9

Step-by-step explanation:

Answer:

The angles are supplementary.

x = 31

Step-by-step explanation:

The way the two angles lay together and make a straight line shows that they are supplementary. Supplementary means that they add up to 180°

Use this idea to write an equation.

2x + 3x + 25 = 180

combine like terms

5x + 25 = 180

subtract 25

5x = 155

divide by 5

x = 31

Answer:

x = 31

Step-by-step explanation:

(3x + 25) and 2x are a linear pair and are supplementary, that is

3x + 25 + 2x = 180

5x + 25 = 180 ( subtract 25 from both sides )

5x = 155 ( divide both sides by 5 )

x = 31

Answer:

D

Step-by-step explanation:

The diameter of the sphere is 1.2 meters.

We know that for a sphere of radius R, the surface area is given by the formula:

S = 4πR²

Where π = 3.14

Here we know that the surface area is 4.5216m²

Then we can replace that and find the radius:

4.5216m² = 4*3.14*R²

Solving for R:

R = √(4.5216m²/(4*3.14))

R = 0.6m

Then the diameter, two times the radius, is:

D = 2*0.6m

D = 1.2 meters.

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Length of the golf club where Bruce plays = 7,040 yards

Solution:

1. Let's convert 7,040 yards to miles:

1 yard = 0.000568182 mile

Now, we can use Direct Rule of Three, as follows:

Yards Miles

1 0.000568182

7,040 x

2. Solve for x:

1 * x = 0.000568182 * 7,040

x = 4 miles

Permutation: A permutation is an act of arranging objects or numbers in order.

P(n, r) = (n−r)!/n!

​Combination: Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.
C(n,r)=( n/ r )= n! / r!(n−r)!

with n!=n⋅(n−1)⋅...⋅2⋅1.

We want to select 4 of the 11 pizzas to be in the top 4.

n = 11

r = 4

The order of the pizzas matters, because a different order results in different rankings within the top 5, and thus we should use the definition of permutation.

P(11 , 4) = 11! / (11-4)!

P(11 , 4) = 11! / 7! = 7920

Thus there are 7920 different possible rankings.

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The probability that in an hour there will be at least 10 requests for parts is P(X ≥ 10) = 1 - P(X < 10) = 1 - (Σ P(X = k) for k = 0 to 9) . The probability that the 10th request in the morning requires at least 2 hours of waiting time is P(time until the 10th request ≥ 2 hours) = 1 - P(time until the 10th request < 2 hours) .

i) Poisson Distribution: The Poisson distribution can be used to model the number of requests for parts in a given time period, assuming that the average rate of requests is constant. The Poisson distribution with parameter λ is given by the following formula:

P(k requests in a time period) = (e^-λ * λ^k) / k! , where k is the number of requests, e is the mathematical constant approximately equal to 2.71828, and λ is the average rate of requests.

a) Using Poisson distribution, the probability that in an hour there will be at least 10 requests for parts is given by:

P(X ≥ 10) = 1 - P(X < 10) = 1 - (Σ P(X = k) for k = 0 to 9)

b) To find the probability that the 10th request in the morning requires at least 2 hours of waiting time, we need to find the distribution of the time between requests. Since the requests are modeled as a Poisson process, the time between requests is modeled as an exponential distribution with parameter λ.

ii) Gamma Distribution: The gamma distribution is a continuous probability distribution that can be used to model the sum of k independent and identically distributed exponential random variables. In this case, the distribution of the time between requests is exponential, and the sum of 10 independent exponential random variables gives us the distribution of the time until the 10th request.

a) To find the probability that in an hour there will be at least 10 requests for parts using the gamma distribution, we need to first find the distribution of the number of requests in an hour.The sum of 10 independent exponential random variables with rate λ follows a gamma distribution with shape parameter k = 10 and scale parameter 1/λ.

Using the cumulative distribution function of the gamma distribution, the probability that in an hour there will be at least 10 requests for parts is given by:

P(number of requests ≥ 10) = 1 - P(number of requests < 10)

b) Using Gamma distribution, the probability that the 10th request in the morning requires at least 2 hours of waiting time is given by:

P(time until the 10th request ≥ 2 hours) = 1 - P(time until the 10th request < 2 hours) , where the cumulative distribution function of the gamma distribution can be used to calculate the probability.

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Answer:

Step-by-step explanation:

The area of a circle is pi times the radius squared (A = π r²). Example of calculating the area of a circle is in the image below.

Answer:

g(x) =1

x-1

it's either g(x) or f(x)

Answer:

a) its root 2

b) 2

c) 3,4,5,6 (just all x numbers)

d) inverse is just reverse of points ex: (2,1) for the first set

also what is that equation up top am i suppose to use that for something

Step-by-step explanation: