Question
A train travels for 30 miles at an average speed of 25
mph. How many minutes will it take to complete
the journey?

Answer:

(-1, -2.5)

Step-by-step explanation:

(3, 0) is the midpoint between (2, 2) and (4, -2)

(-5, -5) (3, 0) the midpoint between these two points is

(-5 + 3) / 2 = -1, (-5 + 0) / 2 = -2.5

Inequalities are used to represent the unequal expressions

The inequality is \(84x > 588\), and the possible values of x are greater than 7

The width is given as;

Width = 14 feet

The length is given as:

Length = 6x

The area of the play area is the product of its dimensions.

So, we have:

\(Area = 14 * 6x\)

\(Area = 84x\)

The area must be greater than 588 square feet.

So, we have:

\(84x > 588\)

Divide both sides by 84

\(x > 7\)

Hence, the inequality is \(84x > 588\), and the possible values of x are greater than 7

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Answer:

dont click on the link its no the answer

Step-by-step explanation:

Flip a fair coin until it comes up heads. You win a payout of 2n dollars, where n is the number of flips you performed. The expected value of this game is $2.

The game you're describing involves flipping a fair coin until you get a heads. The payout is 2^n dollars, where n is the number of flips you performed.

To calculate the expected value of this game, we can consider the probability of winning at each stage and the associated payouts.

Since the coin is fair, the probability of getting a heads on the first flip is 1/2, and the payout would be 2^1 = $2. If you don't get a heads on the first flip, you have a 1/2 chance of getting a heads on the second flip, making the probability 1/2 * 1/2 = 1/4. The payout would be 2^2 = $4. We can continue this pattern for all possible outcomes.

The expected value can be calculated as the sum of the product of the probability of each outcome and its respective payout. So, the expected value (EV) would be:

EV = (1/2 * $2) + (1/4 * $4) + (1/8 * $8) + ...

This is an infinite geometric series with a common ratio of 1/2. To find the sum of an infinite geometric series, we can use the formula:

Sum = a / (1 - r),

where "a" is the first term and "r" is the common ratio. In this case, a = (1/2 * $2) = $1, and r = 1/2. Plugging these values into the formula, we get:

Sum = $1 / (1 - 1/2) = $1 / (1/2) = $2

Therefore, the expected value of this game is $2.

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Answer:

yes it is a negative linear funtion

Step-by-step explanation:

Answer:

y = 4/3x - 6

Step-by-step explanation:

y = mx + b

if m = 4/3 and passes through (9,6) then

6 = 4/3(9) + b

6 = 12 + b

b = -6

then y = 4/3x - 6

The radius of the cylindrical shaped soup can is r = 3.3 cm

Given data ,

A company is designing a soup can that is in the shape of a right circular cylinder. The height of the can will be 3 times the radius of the can. The volume of the can will be 350 cubic centimeters

Now , Volume of Cylinder = πr²h

where h = 3r

On simplifying , we get

350 = πr²3r

350 = 3πr³

Divide by 3π on both sides , we get

r³ = 37.13615

Taking cube root on both sides , we get

r = 3.3 cm

Hence , the radius of soup can is r = 3.3 cm

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Answer:

434444

Step-by-step explanation:

The discounted price of an item did the price increased after the weekend by a fraction of 1/5.

A fraction can be referred to or considered as a divisional representation of a whole number or a percentage, usually represented as a bigger numerical. A fraction denotes the representation of a number in such a way that the meaning or the accuracy of the number is not disturbed, but is shown differently. One-fifth is 20 percent of the total five parts of a number, and thus, the price increased by 1/5th after the weekend.

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A healthcare data needs to be aggregated simply because

healthcare professionals would be able to perfectly come up with a more effective treatment methods to accelerate the overall healthcare facility.

Healthcare can simply be defined as an organized medical care given to a person, organization or even a community either by a doctor, nurse or any other licensed healthcare professional

However, healthcare-associated Infections, are those infections patients can get during their treatment for another condition due to bacteria, viruses, fungi, and other pathogens.

And for a good reason, the fundamental purpose of healthcare is to enhance healthy living and quality of life by giving quality healthcare services.

So therefore, a healthcare data needs to be aggregated simply because

healthcare professionals would be able to perfectly come up with a more effective treatment methods to accelerate the overall healthcare facility.

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a. The fuel consumption of a car in terms of velocity: Inverse function.

b. Salary in an organization in terms of years served: Linear function.

c. Windchill adjustment to temperature in terms of windspeed: Power function.

The types of functions to encode dependence in each of the following situations are as follows:a. The fuel consumption of a car in terms of velocity. An inverse function would be appropriate for this situation because, in an inverse relationship, as one variable increases, the other decreases. So, fuel consumption would decrease as velocity increases.b. Salary in an organization in terms of years served. A linear function would be appropriate because salary increases linearly with years of experience.c. Windchill adjustment to temperature in terms of windspeed. A power function would be appropriate for this situation because the windchill adjustment increases more rapidly as wind speed increases.d. Population of rabbits in a valley in terms of time. An exponential function would be appropriate for this situation because the rabbit population is likely to grow exponentially over time.e. Amount of homework required over term in terms of time. A linear function would be appropriate for this situation because the amount of homework required is likely to increase linearly over time.

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Answer:

-6

Step-by-step explanation:

I'm not Russian (or whatever language that is) but hopefully I can help! <3

5x+12=8x+30

Move the 12 over to the other side by subtracting.

5x=8x+18

Move the 8x over to the other side by also subtracting.

-3x=18

Divide 18 by -3.

x=-6

The number of elements common to sets S and T, where S is the set of the 2005 smallest positive multiples of 4 and T is the set of the 2005 smallest positive multiples of 6, can be determined by finding the least common multiple (LCM) of 4 and 6 and dividing it by 4.

The multiples of 4 can be written as {4, 8, 12, 16, ...}, while the multiples of 6 can be written as {6, 12, 18, 24, ...}. To find the common elements, we need to determine the numbers that are divisible by both 4 and 6.

The LCM of 4 and 6 is 12. To find the number of elements common to sets S and T, we divide the LCM (12) by 4 since the sets consist of the smallest positive multiples. This gives us 12/4 = 3.

Therefore, there are 3 elements that are common to both sets S and T.

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Answer:

x equals 10

Step-by-step explanation:

this is a version of the 3,4,5 rule which says that if the sides of a right triangle are 3 and 4, the hypotenuse is 5. Since 6 and 8 could be simplified to 3 and 4 respectively, you could make the hypotenuse (x) 10, which has the same relationship to 5 (division by 2). Hope this helps!

Answer:

x = 10

Step-by-step explanation:

u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D

The dimensions of the rectangle are a width of 13 inches and a length of 32 inches.

To find the dimensions of the rectangle with a perimeter of 90 inches, follow these steps:

Let the width of the rectangle be represented as w.
Since the length is six more than double the width, we can represent the length as 2w + 6.
The formula for the perimeter of a rectangle is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
Substitute the given perimeter (90 inches) and the expressions for length and width into the formula: 90 = 2(2w + 6) + 2w.
Simplify the equation: 90 = 4w + 12 + 2w.
Combine the terms with w: 90 = 6w + 12.
Subtract 12 from both sides of the equation: 78 = 6w.
Divide both sides by 6 to solve for w: w = 13.
Substitute the value of w back into the expression for the length: L = 2(13) + 6 = 26 + 6 = 32.

The rectangle is a size of 13 inches in width and 32 inches in length.

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(a) Yes, we have enough information to compute Probability P(A or B).

(b) If we know P(A) and P(B), we have enough information to compute P(A or B).

(a) The probability of the union of two events (A or B) is given by the formula P(A or B) = P(A) + P(B) - P(A and B)

We know P(A) and P(B), but we don't know P(A and B) - the probability that both events occur simultaneously. Therefore, we cannot compute P(A or B) with certainty unless we are given additional information about the relationship between A and B.

(b) If we know that events A and B are mutually exclusive, then we have enough information to compute P(A or B). Mutually exclusive events are events that cannot occur simultaneously, which means that P(A and B) = 0.

In this case, the formula for the probability of the union simplifies to:

P(A or B) = P(A) + P(B)

Since we know P(A) and P(B), we can simply add them to obtain P(A or B). Therefore, in this case, we have enough information to compute P(A or B).

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Answer:

16.2

Step-by-step explanation:

use long division so:

To determine the coordinate of point P after the described rotations, let's go step by step.

First, the point P(3, 5) is rotated 180 degrees clockwise about the point A(3, 2). To perform this rotation, we need to find the vector between the center of rotation (A) and the point being rotated (P). We can then apply the rotation matrix to obtain the new position.

Let \(\vec{AP}\) be the vector from A to P. We can calculate it as follows:

\(\vec{AP} = \begin{bmatrix} 3 \\ 5 \end{bmatrix} - \begin{bmatrix} 3 \\ 2 \end{bmatrix} = \begin{bmatrix} 0 \\ 3 \end{bmatrix}\).

Now, we can apply the rotation matrix for a 180-degree clockwise rotation:

\(\begin{bmatrix} x' \\ y' \end{bmatrix} = \begin{bmatrix} \cos(\theta) & -\sin(\theta) \\ \sin(\theta) & \cos(\theta) \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix}\),

where \(\theta\) is the angle of rotation in radians. Since we want to rotate 180 degrees, we have \(\theta = \pi\).

Applying the rotation matrix, we get:

\(\begin{bmatrix} x' \\ y' \end{bmatrix} = \begin{bmatrix} \cos(\pi) & -\sin(\pi) \\ \sin(\pi) & \cos(\pi) \end{bmatrix} \begin{bmatrix} 0 \\ 3 \end{bmatrix} = \begin{bmatrix} -1 & 0 \\ 0 & -1 \end{bmatrix} \begin{bmatrix} 0 \\ 3 \end{bmatrix} = \begin{bmatrix} 0 \\ -3 \end{bmatrix}\).

The new position of P after the first rotation is P'(0, -3).

Next, we need to rotate P' (0, -3) 90 degrees counterclockwise about the point B(1, 1).

Again, we calculate the vector from B to P', denoted as \(\vec{BP'}\):

\(\vec{BP'} = \begin{bmatrix} 0 \\ -3 \end{bmatrix} - \begin{bmatrix} 1 \\ 1 \end{bmatrix} = \begin{bmatrix} -1 \\ -4 \end{bmatrix}\).

Using the rotation matrix, we rotate \(\vec{BP'}\) by 90 degrees counterclockwise:

\(\begin{bmatrix} x'' \\ y'' \end{bmatrix} = \begin{bmatrix} \cos(\theta) & -\sin(\theta) \\ \sin(\theta) & \cos(\theta) \end{bmatrix} \begin{bmatrix} x' \\ y' \end{bmatrix}\),

where \(\theta\) is the angle of rotation in radians. Since we want to rotate 90 degrees counterclockwise, we have \(\theta = \frac{\pi}{2}\).

Using the rotation matrix, we get:

\(\begin{bmatrix} x'' \\ y'' \end{bmatrix} = \begin{bmatrix} \cos \left(\frac{\pi}{2}\right) & -\sin\left(\frac{\pi}{2}\right) \\ \sin\left(\frac{\pi}{2}\right) & \cos\left(\frac{\pi}{2}\right) \end{bmatrix} \begin{bmatrix} -1 \\ -4 \end{bmatrix} = \begin{bmatrix} 0 & -1 \\ 1 & 0\end{bmatrix} \begin{bmatrix} -1 \\ -4 \end{bmatrix} = \begin{bmatrix} 4 \\ -1 \end{bmatrix}\).

The final position of P after both rotations is P''(4, -1).

Therefore, the coordinate of point P after the rotations is (4, -1).

Let there be N number of kernels in the bag.

Given that the number o

Answer:

-7

Step-by-step explanation:

highest and makes sense

Answer:

s = 47

Step-by-step explanation:

The measure of the exterior angle of a triangle is equal to the sum of the opposite interior angles

s+45 = s+6  + s-8

Combine like terms

s+45 = 2s-2

Subtract s from each side

s+45-s =2s-2-s

45 =s-2

Add 2 to each side

45+2 = s-2+2

47 =s

The given representation is a quadratic function.

The given table can be represented in the form of equation as,

y = x²

When x = 0, y = 0

When x = 1, y = 1

When x = 2, y = 2² = 4

When x = 3, y = 3² = 9

When x = 4, y = 4² = 16

This can be written as,

y = x² + 0x + 0

This is a quadratic function.

Hence the given representation is a quadratic function.

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The area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10 is 174/3 units².

To find the area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10, we need to solve this problem in the following way:

Since the curves are already in the form of x = f(y), we need to use vertical strips to find the area.

So, the integral for the area of the region is given by:

A = ∫a b [x₂(y) - x₁(y)] dy

Here, x₂(y) = 10 - 2y² - 12y - 19/5 = - 2y² - 12y + 1/2 and x₁(y) = -4y - 10

So,

A = ∫(-3)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy + ∫(-2)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy

=> A = ∫(-3)⁻²[2y² + 8y - 19/2] dy + ∫(-2)⁻²[2y² + 8y - 19/2] dy

=> A = [(2/3)y³ + 4y² - (19/2)y]₋³ - [(2/3)y³ + 4y² - (19/2)y]₋² | from y = -3 to -2

=> A = [(2/3)(-2)³ + 4(-2)² - (19/2)(-2)] - [(2/3)(-3)³ + 4(-3)² - (19/2)(-3)]

=> A = 174/3

Hence, the area of the region enclosed by the curves is 174/3 units².

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No, enough information is not given to prove that triangles are congruent using the SSS congruence theorem.

The SSS congruence theorem  expresses that assuming in two triangles, three sides of one are consistent to three sides of the other, then, at that point, the two triangles are said to be congruent.

Now, we are given that triangle ACB and triangle DEB that share a common vertex b. So, both triangles share a common side. So, one side is same for both of triangles.

From the diagram, we can see that both triangles opposite side are equal. So, second side is equal for both of triangles.

Now, from the diagram, we can see that both triangles vertically opposite angles are equal. So, we have two sides equal and one angle is equal.

So, given triangle is proved to congruent by SAS congruency not by SSS congruency.

Hence, enough information is not given.

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Answer:

Its (c) please check if thats correct

Step-by-step explanation:

The derivative of an inverse trigonometric function can be found by using the chain rule.

The chain rule states that the derivative of a composite function is equal to the product of the derivatives of the inner and outer functions. Therefore, the derivative of an inverse trigonometric function can be found by taking the derivative of the inverse function and multiplying it by the derivative of the original trigonometric function.

For example, let's find the derivative of the inverse sine function (sin^-1(x)). We start by taking the derivative of the inverse sine function, which is equal to 1/sqrt(1-x^2). Then we multiply this by the derivative of the sine function, which is equal to cos(sin^-1(x)). Therefore, the derivative of sin^-1(x) is equal to 1/sqrt(1-x^2)*cos(sin^-1(x)). This same formula can be used to find the derivatives of the other inverse trigonometric functions.

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Answer:

−7x2−5x−12

Step-by-step explanation:

and if you need the answer to that its 46

The answer is ⟨y(x) = (-1/27)(5 - 3x)^9 + C, where C is an arbitrary constant⟩.

The given differential equation is:

y' = (5 - 3x)^8

We can separate the variables and integrate both sides:

dy/dx = (5 - 3x)^8

dy = (5 - 3x)^8 dx

Integrating both sides, we get:

∫dy = ∫(5 - 3x)^8 dx

y = (-1/27)(5 - 3x)^9 + C

where C is an arbitrary constant of integration.

Therefore, the general solution of the differential equation is:

y(x) = (-1/27)(5 - 3x)^9 + C

where C is an arbitrary constant.

Hence, the answer is ⟨y(x) = (-1/27)(5 - 3x)^9 + C, where C is an arbitrary constant⟩.

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