the function ​s(x) gives a​ person's average speed in miles per hour if he or she travels one mile in 60x seconds. use a linear approximation to s at 0 to find a​ person's approximate average speed if he or she travels one mile in seconds. what is his or her exact​ speed?

Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.

Answer:

C 3.5t + 15, where t is the number

of days

All the soldiers belonging to the knights can be made to stand in line, with the groups staying together in n! * (k!)ⁿ ways.

This is a classic Permutation and Combinations question, and we use the principles of this topic to answer the question.

For starters, let's think of a group of soldiers as a single entity, instead of being a combination of soldiers.

There are 'n' groups, corresponding to 'n' knights, as each knight has a group.

So, we need to arrange 'n' groups in different possible orders in a straight line, which can be done in n! ways.

This is defined by the basic rules or arranging 'n' objects.

Inside the group, there are 'k' soldiers, who can be arranged in the same group in k! ways. But there are 'n' groups.

Which means,

Total possible permutations = k! * k! * k! * .....

                                               = (k!)ⁿ ways in total.

Now, finally, we just multiply the permutations of groups, and the permutations inside the groups, to cover all possible combinations of soldiers standing.

Total combinations = n! * (k!)ⁿ

Thus, we conclude that the 'kn' soldiers belonging to all groups, can be arranged in a straight line such that the same group of soldiers are together, in n! * (k!)ⁿ ways.

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The expression that represents the total amount Marissa spent is (x * 19.99 + y * 14.99) + (3 * 19.99 + 4 * 14.99).

In summary, the expression (x * 19.99 + y * 14.99) represents the cost of the initial purchase, where x is the number of shirts and y is the number of shorts. The expression (3 * 19.99 + 4 * 14.99) represents the cost of the additional purchase the next day, where 3 is the number of shirts and 4 is the number of shorts. By adding both expressions together, we get the total amount Marissa spent.

The first part of the expression, x * 19.99, calculates the cost of the x shirts at $19.99 each. Similarly, the second part, y * 14.99, calculates the cost of the y pairs of shorts at $14.99 each. These two terms represent the initial purchase.

The next part of the expression, 3 * 19.99, calculates the cost of the 3 additional shirts bought the next day. Similarly, 4 * 14.99 calculates the cost of the 4 additional pairs of shorts. These two terms represent the additional purchase.

By adding the cost of the initial purchase and the additional purchase, we obtain the total amount Marissa spent on shirts and shorts.

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Answer:

if u want step by step answers u need to give more points than that

Step-by-step explanation:

The mean is 58.319 m/h and the standard deviation is 11.665 m/h of the vehicle speed if 5% of all vehicles travel less than 39.13 m/h and 10% travel more than 73.25 m/h.

The mean and standard deviation of the vehicle speed can be calculated by using the formula for z-score.

The z-score of measure X can be given as;

Z = X - μ / σ

In this case, 39.13 m/h is the 5th percentile; therefore when X = 39.13, Z has a p-value of 0.05, hence Z = -1.645

Z = X - μ / σ

-1.645 = (39.13 - μ) / σ

39.13 - μ = -1.645σ

μ = 39.13 + 1.645σ

Additionally, 73.25 m/h is the 90th percentile (100 - 10 = 90), therefore when X = 73.25, Z has a p-value of 0.9, hence Z = 1.28

1.28 = (73.25 - μ) / σ

73.25 - μ = 1.28σ

μ = 73.25 - 1.28σ

We can find the standard deviation by equalling both equations as follows;

39.13 + 1.645σ = 73.25 - 1.28σ

1.645σ + 1.28σ = 73.25 - 39.13

2.925σ = 34.12

σ = 34.12/2.925 = 11.665 m/h

Now the mean can be calculated as follows;

μ = 73.25 - 1.28σ

μ = 73.25 - 1.28(11.665)

μ = 58.319 m/h

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In business calculus, the term "functions" refers to mathematical relationships that associate inputs (typically denoted as x) with corresponding outputs (typically denoted as y). Functions can represent various aspects of business operations, such as revenue, cost, profit, demand, and supply.

The concept of "limits" in calculus deals with the behavior of a function as the input approaches a particular value. It determines the value that the function approaches or tends to as the input gets arbitrarily close to a specified value. Limits are essential for analyzing the behavior of functions near certain points, understanding rates of change, and evaluating derivatives and integrals.

"Continuity" of a function refers to its smooth and unbroken nature, without any abrupt jumps, holes, or vertical asymptotes. A function is continuous if its graph can be drawn without lifting the pen from the paper. Continuity ensures that small changes in the input correspond to small changes in the output, which is crucial for reliable analysis and prediction.

For example, consider the function f(x) = 2x + 1. This linear function represents a business scenario where x represents the number of units sold, and f(x) represents the total revenue generated. The limit of f(x) as x approaches 2 is 5, indicating that as the number of units sold approaches 2, the total revenue approaches $5. Since f(x) = 2x + 1 is a linear function, it is continuous across its entire domain.

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Answer:

1=a 2=c

i think not sure tho

Pythagoras' theorem is a basic relationship between the three sides of a right triangle in Euclidean geometry. The distance between Frostburg Mall and Sojourner Truth Park is 10.8 miles.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

As per the given details the distance between the Truth park and the Frostburg Mall will be,

Vertical distance between Truth park and the Frostburg Mall

= 5 miles + 4 miles

= 9 miles

Horizontal distance between Truth park and the Frostburg Mall

= 3 miles + 3 miles

= 6 miles

Further, using the Pythagoras theorem the distance between the two points will be,

Distance² = (Vertical distance)² + (Horizontal distance)²

Distance² = 9² + 6²

Distance = √(81 + 36)

Distance = 10.8 miles

Hence, the distance between Frostburg Mall and Sojourner Truth Park is 10.8 miles.

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Answer:

50 Fahrenheit (F) 10 Celsius (C)

1 F = -17.222 C 1 C = 33.800 F

Answer:

50 Fahrenheit (F) 10 Celsius (C)

1 F = -17.222 C 1 C = 33.800 F

\(3/x - 2 -5/2 -4/x - 2\) is equivalent to \((-15x + 40)/2(x-2)(x-2)\)

\(3/x - 2 - 5/2 - 4/x - 2\) can be simplified by finding a common denominator:

LCD = 2(x-2)

So we need to multiply the first fraction by 2/2 and the second fraction by (x-2)/(x-2):

\(3/x - 2 * 2/2 - 5/2 - 4/x - 2 * (x-2)/(x-2)\)

\(= (6 - 2(x-2))/2(x-2) - 5/2 - (4x-8)/(x-2)(x-2)\\= (-2x + 14)/2(x-2) - 5/2 - (4x-8)/(x-2)(x-2)\\= (-2x + 14 - 5(x-2) - 2(4x-8))/2(x-2)(x-2)\\= (-2x + 14 - 5x + 10 - 8x + 16)/2(x-2)(x-2)\\= (-15x + 40)/2(x-2)(x-2)\)

Therefore, \(3/x - 2 -5/2 - 4/x - 2\) is equivalent to \((-15x + 40)/2(x-2)(x-2).\)

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the police officer should expect to pull over approximately 4 drivers until she finds a driver who is not texting while driving.

What is Probability?

Probability refers to the measure of the likelihood or chance of an event occurring. It quantifies the uncertainty associated with an event or outcome and is expressed as a value between 0 and 1. A probability of 0 indicates an impossible event, while a probability of 1 represents a certain event.

To find the number of people a police officer should expect to pull over until she finds a driver not texting while driving, we can use the concept of probabilities.

The probability of a driver not texting while driving is given by (100% - 52%) = 48%.

Now, let's calculate the probability of encountering a driver who is texting while driving for different numbers of drivers pulled over:

For the first driver pulled over, the probability of encountering a driver who is texting while driving is 52% or 0.52.

For the second driver pulled over, the probability of both the first and second drivers texting while driving is 0.52 * 0.52 = 0.2704, and the probability of the second driver not texting while driving is (1 - 0.52) = 0.48.

For the third driver pulled over, the probability of all three drivers texting while driving is 0.52 * 0.52 * 0.52 = 0.140608, and the probability of the third driver not texting while driving is (1 - 0.52) = 0.48.

Continuing this pattern, we can calculate the probabilities for the fourth and fifth drivers.

Therefore, the police officer should expect to pull over approximately 4 drivers until she finds a driver who is not texting while driving.

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Complete Qustion:

It is estimated that 52% of drivers text while driving. How many people should a police officer expect to pull over until she finds a driver not texting while driving? Consider each driver independently.

Answer:

0.976 or 97.6%

Step-by-step explanation:

To calculate the frequency of the recessive allele, we need to use the information provided about the frequency of the dominant trait.

Let's assume that the particular dominant trait is determined by a single gene with two alleles: the dominant allele (A) and the recessive allele (a).

Given that 45 out of 1,000 babies are born with the dominant trait, we can infer that the remaining babies (1,000 - 45 = 955) do not have the dominant trait and can be considered as the recessive trait carriers.

The frequency of the recessive allele (q) can be calculated using the Hardy-Weinberg equation:

q = sqrt((Recessive individuals) / (Total individuals))

In this case, the total number of individuals is 1,000, and the number of recessive individuals is 955.

q = sqrt(955 / 1,000)

Using a calculator, we can find the value:

q ≈ 0.976

Therefore, the frequency of the recessive allele is approximately 0.976 or 97.6%.

Answer:

probably c

Step-by-step explanation:

Yes, a hole in a function is considered a type of discontinuity. A hole occurs when a point is missing from the graph of a function, which causes the graph to have a break in it.

A discontinuity is a break or jump in the graph of a function. A hole in a function is a type of discontinuity where a point is missing from the graph, causing the graph to have a break in it. This type of discontinuity is usually caused by a function having a denominator that is equal to zero, as this creates an undefined point on the graph. This can also occur when two parts of the function are not connected, causing an open gap in the graph. In both cases, the graph is not continuous and has a discontinuity at the point where the hole is present.

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Yes, the function has a hole in discontinuity.

The term function in math is called as a rule that gives value of a dependent variable that corresponds to specified values of one or more independent variables.

Here we to identify is a hole in a function a discontinuity.

the term discontinuity is defined as is discontinuous at a point if it becomes undefined or the limit at that point does not exist. And whether this point is known as the point of discontinuity.

While we looking the hole on a graph looks like a hollow circle. And which  represents the fact that the function approaches the point, here it is not actually defined on that precise value. Where the major reason why this function is not defined at is because is not in the domain of the function.

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When two tables have a one-to-many relationship, you typically need to add a foreign key to the table on the "many" side to link the records to the corresponding record in the "one" table.

In a one-to-many relationship, the table on the "one" side is usually the primary key table, and the table on the "many" side is usually the foreign key table. The foreign key is used to link the records in the "many" table to the corresponding record in the "one" table. This is done by adding a column to the "many" table that contains the primary key value from the "one" table.

When designing a database, it is important to establish relationships between tables to ensure data integrity and avoid redundant data. In a one-to-many relationship, one record in the primary key table can be associated with many records in the foreign key table. To establish a one-to-many relationship, you need to create a primary key in the "one" table and a foreign key in the "many" table. The foreign key is a column that contains the primary key value from the "one" table. For example, if you have a "customers" table and an "orders" table, the "customers" table would be the primary key table and the "orders" table would be the foreign key table. Each record in the "orders" table would have a foreign key column that contains the customer ID from the "customers" table.

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The equation 3+7+2=+2 is actually not true, but false.

The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.

In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.

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Answer:

C

Step-by-step explanation:

Answer:

I think the equation is B. 2x+3=4-5x

Hope this helps :)

Answer:

4 + b² = 104

Hope this helps. :)

Answer:

b^{2}  + 4 = 104.

Step-by-step explanation:

The sum of 4 and the second power of b basically means 4 + b^2.

b^2 + 4 = 104

\(b^{2} + 4 = 104\)

b^2 = 100

b = plus or minus 10.

Hope this helps!

Answer:

Step-by-step explanation:

Quadrant 2 or Quadrant II

Answer:

The answer Is d

quadrant 2

Answer: 17 to 15

Step-by-step explanation:

ΔXYZ will also be an equilateral triangle.

What is equilateral triangle?

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean space, an equilateral triangle also is equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others. It's also referred to it as a regular triangle because it is a regular polygon.

As X,Y,Z are the midpoints of sides of equilateral triangle so when we will join the X,Y,Z we will find that distances XY=YZ=XZ are three are equal because this is proved by similarity of triangles which in itself is a detailed and vast topic

Hence XYZ will also be an equilateral triangle

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Answer:

The one you picked

Step by Step explanation

Answer:

m = 145

Step-by-step explanation:

All angles inside a parallelogram = 360

∠ABC = ∠ADC

35 = ∠ADC

360 = 2(∠ABC) + 2( ∠DAB)

360 = 70 + 2( ∠DAB)

290 = 2( ∠DAB)

145 = ∠DAB

The adjacent angle of the parallelogram are supplementary angles. If the angle ∠ABC is 35°. Then the angle ∠DAB will be 145°.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides and angles are parallel and equal.

In the parallelogram ABCD, the angle ∠ABC is 35°.

We know that adjacent angle of the parallelogram are supplementary angles.

∠ABC + ∠DAB = 180°

35° + ∠DAB = 180°

∠DAB = 180° – 35°

∠DAB = 145°

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Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

The trigonometric identity cos²(180 - x) + 2cosxcos(90 + x)tan(360 - x) = 1 + sin²x

A trigonometric identity is a mathematical expression that contains trigonometric ratios.

To prove that : cos²(180 - x) + 2cosxcos(90 + x)tan(360 - x) = sin²x + 1 ​, we proceed as follows

We need to show that Left hand side L.H.S = right hand side R.H.S

Now

So, substituting the values of the variables into the equation, we have that

L.H.S = Cos²(180 - x) + 2CosxCos(90 + x)tan(360 - x) = (-Cosx)² + 2Cosx(-sinx)(-tanx)

= (Cosx)² + 2Cosxsinxtanx

Now tanx = sinx/cosx,

So, substituting the values of the variables into the equation, we have that

(Cosx)² + 2Cosxsinxtanx = (cosx)² + 2cosxsinxsinx/cosx

= cos²x + 2sin²x

= cos²x + sin²x + sin²x

Now the trigonometric identity cos²x + sin²x = 1.

So, we have that

cos²x + sin²x + sin²x = 1 + sin²x = R.H.S

So, cos²(180 - x) + 2cosxcos(90 + x)tan(360 - x) = 1 + sin²x

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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 given statement "the probability of an earth-impacting asteroid causing a person's death" is empirical probability, which is based on observations and data.

Empirical probability, also known as experimental probability, is based on observations or data. It involves collecting data through repeated trials of an experiment and calculating the probability of an event based on the frequency of its occurrence.

Subjective probability, also known as personal probability, is based on personal judgment or belief. It reflects an individual's degree of belief in the likelihood of an event occurring, based on their own knowledge and experience.

Now, let's classify the statement in the prompt. The statement is "the probability of an earth-impacting asteroid causing a person's death is." We can see that the statement does not specify which type of probability is being used.

In conclusion, probability is a crucial concept in mathematics and science, and there are different types of probability, including classical, empirical, and subjective probability.

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