find the curve in the xy plane that passes through the point (4,7) and whose slope at each point is

The number of boxes of clips that Mr. Collins has is 437 boxes.

In order to determine the number of boxes of clips that Mr. Collins has, we have to determine the number of  boxes of clips in the 54 cartons.

The  boxes of clips in the carton can be determined by multiplying 54 by 8

The  boxes of clips in the carton = 54 x 8 = 432

The second step is to add 432 to 5.

432 + 5 = 437 boxes

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The car travels 70.83 meters in 3 seconds.

To find the distance the car travels in 3 seconds, we first need to convert its speed from kilometres per hour to meters per second.

1 hour = 3600 seconds

1 kilometer = 1000 meters

So, 85 km/hr = 85 x 1000/3600 m/s = 23.61 m/s

Now we can use this speed to find the distance the car travels in 3 seconds:

distance = speed x time

distance = 23.61 m/s x 3 s = 70.83 m

So the car travels 70.83 meters in 3 seconds.

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--The given question is incorrect; the correct question is

"A car is driving at 85 kilometres per hour. How far, in meters, does it travel in 3 seconds?"--

Answer:

w=-8.6 is your answer

-5w-43. is the simple version

Step-by-step explanation:

First distrubute the -7 and set equal to 0 so that we can move the w to the other side.

-7w-28+2w-15=0

-5w-43=0

add 43 to both sides so you can slove for w

-5w=43

divide both sides by -5 to isolate the w

w=-8.6

Answer:

it would be 18 in 1 minute

Answer:

20 in

Step-by-step explanation:

Width is half the height, so if the height is 31+9, or 40, then 20 is the width

Answer:

The 1 liter bottle is better value

Step-by-step explanation:

Cost of 750 ml = £1.90

Cost of 1 liter = £2.50

1000 ml = 1 liter

Cost per 250 ml

750 ml / 3 = £1.90 / 3

250 ml = £0.6333333333333

Approximately,

£ 0.633

Cost per 250 ml

1 liter / 4 = £2.50 / 4

250 ml = £0.625

The 750 ml bottle is not a better value

The 1 liter bottle is better value

Answer:

g(3) = 11

Step-by-step explanation:

g(n) = n^2 +2

g(3) = 3^2 +2

g(3) = 9 + 2

g(3) = 11

The length of line segment AB in the triangle using the midsegment theorem is 64.

The Midsegment Theorem states that "the segment joining the midpoints of two sides of a triangle is parallel to and half the length of the third side."

From the diagram:

Midsegment = 3x + 5

Third side = 7x + 1

First, we solve for x, using the midsegment theorem:

( 3x + 5 ) = 1/2 × ( 7x + 1 )

Multiply both sides by 2:

2( 3x + 5 ) = ( 7x + 1 )

6x + 10 = 7x + 1

Collect and add like terms:

7x - 6x = 10 - 1

x = 10 - 1

x = 9

Now, we solve for line AB:

Line AB = 7x + 1

Plug in x = 9

Line AB = 7(9) + 1

Line AB = 63 + 1

Line AB = 64

Therefore, the line segment AB is 64.

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Answer:

a. 44 cm b. 126 cm

Step-by-step explanation:

a. it is semi circle

perimeter is πd

22/7*14

44 cm

b. it is equilateral triangle

so perimeter is side* 3

42 *3 = 126cm

Answer:

Step-by-step explanation:

(a)

The figure perimeter it is half of a circle with a diameter d₁=14 cm and two halfs of circle with a diameter d₂=14 cm÷2=7 cm.

The length of a circle is  L₀ = πd, where d is the diameter.

Therefore:

\(\bold{L=\frac12d_1+2\cdot\frac12d_2 = \frac12\cdot14\pi+\frac12\cdot2\cdot7\pi=14\pi\,cm\approx44\,cm}\)

(b)

A full circle it is 360°, so the circle sector of 60° is  \(\frac{60^o}{360^o}=\frac16\)  of the circle. So the arc of 60° is ¹/₆ of the full circle length.

The figure is an equilateral triangle and two 60°-sectors of circles with radiuses of length of the triangle's side (r=42 cm).

Its perimetr it's two radiuses, two arcs of 60° and one side of the triangle.

The length of a circle is  L₀ = 2πr, where r is a radius.

Therefore:

\(\bold{L=2r+2\cdot\frac16\cdot 2\pi r+r=3r+\frac23\pi r}\\\\\bold{L=3\cdot42+\frac23\pi\cdot42=(126+28\pi)\,cm\approx214\,cm}\)

= 2x = 9

= x = 9 ÷ 2 ( transposing ×2 from LHS to RHS changes ×2 to ÷2 )

= x = 4.5

Therefore , x = 4.5 .

The following is a supervised model.

Here we have to find that the following information given is of the supervised or unsupervised model.

Supervised model:

In the supervised model, we create a function (or model) by using labeled training data that consists of input data and a wanted output. The supervision comes in the form of the wanted output, which in turn lets you adjust the function based on the actual output it produces.

Here we are provided that a local restaurant sends a 20% off coupon to its email subscribers and it is asked to find the typical amount that customers with certain incomes sped when they use the coupon.

Therefore the input data and a wanted output is given so the following is a supervised model.

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The complete question:

Determine if the following is a supervised or unsupervised mode. A local restaurant sends a 20% off coupon to its email subscribers. based on past data, what is the typical amount that customers with certain incomes spend when they use the coupon?

The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.

In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.

The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.

The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.

The blue segment is the conjugate axis, and it is represented by the letters "2b".

Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.

If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.

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Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

For a cone with a volume 2880 m³, which is dilated by a scale factor of 14, the volume of the resulting cone is=2,744,832 m³.

The original volume of the cone is 2880 m³. It is given that the cone is dilated by a scale factor of 14.

The formula to find the volume of a cone is

V = (1/3)πr²h.

We know that the volume of a cone depends on the radius and height. When a cone is dilated by a scale factor, both the radius and height are multiplied by that scale factor.

So, the new volume can be calculated using the following formula:

New Volume = (scale factor)³ x (original volume)

Substituting the given values, we get:

New Volume = 14³ × 2880

New Volume = 2,744,832 m³

Therefore, the volume of the resulting cone is 2,744,832 m³.

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Answer:

Triangle ABD and triangle ECD (A)

Step-by-step explanation:

For two triangles to have a Side Angle Side Postulate, their corresponding sides and angle in the postulate must be equal.

To determine the pair of triangles that is congruent to the Side Angle Side Postulate let's check the options.

a) Triangle ABD and triangle ECD:

Looking at this two triangles, AB = EC

BD =CD

∠B = ∠D

Since the sides are and angle are equal, they are congruent

For the other options (b-d), you find that the corresponding sides of the two triangles and angle between them are not equal

b) Triangle ABC and triangle ECD

c) Triangle ABD and triangle ADC

d) Triangle ADC and triangle ABC

Answer:

Triangle ABD and triangle ECD (A)

Step-by-step explanation:

Got the answer.

Answer:

a = 2.6

Step-by-step explanation:

10 + 25a = 75

- 10.             - 10

25a = 65

÷25.     ÷25

a = 2.6

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:13/5  or 2.6

Step-by-step explanation:

Step-by-step explanation:(a) To find two other pairs of polar coordinates of (3, π/4):

One with r > 0: (3, 9π/4)

One with r < 0: (-3, 5π/4)

To plot the point (3, π/4), we start at the origin and move 3 units along the line that makes an angle of π/4 radians with the positive x-axis.

(b) To find two other pairs of polar coordinates of (2, -2π/3):

One with r > 0: (2, 4π/3)

One with r < 0: (-2, π/3)

To plot the point (2, -2π/3), we start at the origin and move 2 units along the line that makes an angle of -2π/3 radians (which is the same as 4π/3 radians) with the positive x-axis.

(c) To find two other pairs of polar coordinates of (-2, π/6):

One with r > 0: (2, 7π/6)

One with r < 0: (-2, 19π/6)

To plot the point (-2, π/6), we start at the origin and move 2 units in the direction that makes an angle of π/6 radians with the positive x-axis, but since r is negative, we move in the opposite direction. So we end up at a point on the line that makes an angle of 7π/6 radians with the positive x-axis.

Central tendency a is a numerical measure that describes a population, whereas a is a numerical measure that describes a sample.

A population refers to the entire group of people or objects that we're interested in studying, while a sample is a smaller group of individuals that we use to represent the larger population.

Now, let's talk about the two numerical measures you mentioned that it is a numerical measure that describes a population.

It's a measure of the central tendency of the data, which means it tells us where the "center" of the data is located.

There are different ways to calculate depending on the type of data we're working with, but one common method is to find the arithmetic mean, which is the sum of all the values divided by the number of values.

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The triangle similar to triangle ABC will be the triangle with the corresponding angles as same as 50°, 75°, 55°.

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a triangle ABC in which angle [A] is 50° and angle [C] is 75°

The third angle of the triangle would be -

A + B + C = 180

50 + 75 + C = 180

C = 180 - 125

C = 55°

The triangle similar to triangle ABC will be the triangle with the corresponding angles as same as 50°, 75°, 55°.

Therefore, the triangle similar to triangle ABC will be the triangle with the corresponding angles as same as 50°, 75°, 55°.

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Answer:

Step-by-step explanation:

the x-intercepts represent that the profit is $0

maximum value represents the highest profit which is $270

increasing intervals: (0, 4)

decreasing intervals: (4, 8)

in order to find the average rate of change, find the x and y coordinates for when x = 1 and x =4. The coordinates are (1, 120) and (4, 270). The average rate of change is basically the slope, which is (270-120)/(4-1) = 160/3= approximately 53.3333. The rate represents the change in profit in $ over the increase of cost of erasers.

As you can see, this a parabola, which consists of going up and down. The constraints of the domain represent that 4 is the best price for eraser because it yields the highest profit. The domain (x values) that are above and below 4 do not yield the best profit.

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\(g(x) = 4x + 8\)

\(g(8) = 4(8) + 8\)

\(g(8) = 32 + 8\)

\(g(8) = 40\)

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Answer:

16

Step-by-step explanation:

The formula used to find the area of a triangle is

\( \frac{1}{2} b \times h\)

so the area of the triangle is

\( \frac{1}{2} \times 8 \times 4\)

because 8 is the base and 4 is the height of the triangle

Therefore the area of the triangle is 16

The graph of f(x) = 3x² - 3x + 6 does not intersect the x-axis. It does not have any x-intercepts.

The number of x-intercepts of the graph of f(x) = ax² + bx + c can be determined based on the discriminant of the related equation f(x) = 0.

The discriminant (Δ) is given by the formula: Δ = b² - 4ac.

In the given equation, f(x) = 3x² - 3x + 6, we can compare it with the standard form of the quadratic equation f(x) = ax² + bx + c. Here, a = 3, b = -3, and c = 6.

Calculating the discriminant:

Δ = (-3)² - 4 * 3 * 6

Δ = 9 - 72

Δ = -63

The discriminant (Δ) is negative (-63) in this case. When the discriminant is negative, the quadratic equation does not have any real roots or x-intercepts. Instead, it has complex roots.

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9514 1404 393

Answer:

  3.8 miles

Step-by-step explanation:

Lillian wants her mileage total to be ...

  12 +3x = 23.4 . . . . an equation that can be used to find x

  4 + x = 7.8 . . . divide by 3

  x = 3.8 . . . . . . subtract 4

Lillian would have to ride an average of 3.8 miles each day to reach her goal.

Answer:

Hope it helps!

Step-by-step explanation:

Equation: 12+3x=23.4

Answer: x=3.8

Answer:

C. 20

Step-by-step explanation:

Use the Pythagorean theorem which is \(a^{2} +b^{2} =c^{2}\).

\(a^{2}\) and \(b^{2}\) are the sides of the triangle squared, AB and AC. \(c^{2}\) is the hypotenuse (the slanted side of the triangle) or BC.

So, \(12^{2} + 16^{2} =400^{2}\). Then you square root 400 to get your answer.

\(\sqrt{400}\) = 20.

20 is your answer.

The probability that the proportion of overweight or obese children in the sample will be greater than 0.57 is less than 50%.

The first paragraph summarizes the answer, stating that the probability is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.

In the second paragraph, we can explain the reasoning behind this conclusion. The Central Limit Theorem states that for a large sample size, the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution. In this case, the sample was taken in a way that meets the conditions for using the Central Limit Theorem.

Since the population proportion of overweight or obese children is 0.60, any sample proportion below this value is more likely to occur. Therefore, the probability of obtaining a sample proportion greater than 0.57 would be less than 50%. This is because the resulting z-score, which measures how many standard deviations the sample proportion is away from the population proportion, would be negative.

To summarize, the probability of the proportion of overweight or obese children in the sample being greater than 0.57 is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.

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The term for a procedure or set of rules to solve a problem as an alternative to mathematical optimization is called a heuristic.

A heuristic is a procedure or set of rules to solve a problem as an alternative to mathematical optimization.

A heuristic is an approach to problem-solving that uses a practical and efficient method to make decisions, which often leads to a satisfactory result but does not guarantee the best solution.

In essence, a heuristic is an algorithm that provides a practical solution for a problem that is difficult to solve with precise mathematical optimization.

It's a method for finding a solution that works, even if it isn't the best possible one.

its a Heuristics are often used in situations where finding the exact optimal solution would require excessive computational resources or time. Instead, heuristics provide approximate solutions that are often "good enough" for practical purposes.

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Answer: There are no solutions.

Step-by-step explanation: Hope this help :D

Answer:

c and f

Step-by-step explanation:

The mean score of 90, and percentile of Bob's score of 80, gives Bob's exam score as approximately 92.5%

The Z-Score of the 80th percentile is 0.8416

The formula for Z-Score is presented as follows;

\(z = \frac{x - \mu}{ \sigma} \)

Where;

\( \sigma = The \: standard \: deviation\)

\( \mu = The \: mean = 90\%\)

x = The given score

Taking the mean as a proportion, we have;

\( \sigma = \sqrt{\frac{\mu \cdot (1-\mu)}{n}}\)

Which gives;

\( \sigma = \sqrt{\frac{0.9 \times (1-0.9)}{100}}= 0.03\)

Therefore, when z = 0.8416, gives;

\(0.8416 = \frac{x - 0.9}{ 0.03} \)

x = 0.8416 × 0.03 + 0.9 ≈ 0.925

Therefore;

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