A point has no length, no width, and no height.
True or false?

Use the regression equation for predictions only if the graph of the regression line on the scatterplot confirms that the regression line fits the points reasonably well. Therefore, the correct answers are options A, B and D.

For each participant in many research, we measure more than one variable. For instance, we track rainfall and plant growth, the quantity of eggs and nesting environment, the number of young, and soil erosion and water volume. Instead of analysing each variable independently (univariate data), we collect pairs of data and try to come up with ways to characterize bivariate data, which involves measuring two variables on each individual in our sample. We start by looking for a correlation between these two variables using the data at hand.

Numerous different kinds of associations between two variables can be found using a scatterplot.

Therefore, the correct answers are options A, B and D.

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Answer: 2/3

Step-by-step explanation:

Answer:

6/10

Step-by-step explanation:

0.6 is not a repeating fraction.

Step 1:

0.6 = 6/10

Answer:

6/10

Hope This Helps :)

If you go twice as fast, your stopping distance will increase by four times (option C).

This relationship is based on the laws of physics and the principles of motion.

When an object is in motion, its stopping distance is influenced by its initial speed, reaction time, and braking capabilities. The stopping distance consists of two components: the thinking distance (the distance traveled during the reaction time) and the braking distance (the distance needed to bring the object to a complete stop).

According to the laws of physics, the braking distance is directly proportional to the square of the initial speed. This means that if you double your speed, the braking distance will increase by a factor of four. In other words, going twice as fast will require four times the distance to come to a stop.

It is important to note that this relationship assumes other factors, such as road conditions and braking efficiency, remain constant. However, in real-world scenarios, these factors may vary and can affect the stopping distance to some extent.

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Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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5a+17=87

5a+17-17=87-17

5a=70

a=14

Answer:

87-17=70

70÷5=14

=14 is your answer

Answer:

Remainder = –24

Step-by-step explanation:

x³ + x² – 20 divide by x + 2

We can obtain the remainder when

x³ + x² – 20 is divided by x + 2 using the remainder theorem as follow:

We'll begin by calculating the value of x from x + 2. This is illustrated below:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the remainder by substituting –2 for x in

x³ + x² – 20. This is illustrated below:

x³ + x² – 20

x = –2

Remainder = (–2)³ + (–2)² – 20

Remainder = –8 + 4 – 20

Remainder = –24

Therefore, the ramainder when

x³ + x² – 20 is divided by x + 2 is –24

Answer:

y intercept) -1

slope) 4/3

Step-by-step explanation:

To find the slope, we first need to move the 1 to the other side to get:

y = 4/3x - 1

The slope of an equation is basically the number next to the x, and it calculates the rise over the run. For this equation, for example, the slope is:

4/3

The y-intercept is when the line crosses the y-axis. Since all slope intercept form problems are written as y = mx + b, the b defines the y-intercept in this case it is:

-1

Answer:

you need to change the mixed number into an improper fraction

Answer: 12:16

Step-by-step explanation: If you simply the ratio by dividing each side by 4 you are left with 3:4

Answer: 12:16,6:8

Step-by-step explanation:

simplify

12:16=3:4

6:8=3:4

Answer:

10

Step-by-step explanation:

2.50 4 times

Answer: 10

Step-by-step explanation:

Describe the relationshipt

The value of b is 6 times the value of a.

The equatio would be

Answer:

c

Step-by-step explanation:

C, because a vertical line will only hit the function on one point at a time.

Answer:

C. Yes, because it passes the vertical line test.

Answer:

To compute the total cost based on the number of drinks and tacos, we can use the given prices of $2 for a drink and $5 for a taco. Let's assume the number of drinks is represented by "d" and the number of tacos is represented by "t". The **total cost** can be calculated as:

totalcost = (2 * d) + (5 * t)

For example, if we have 2 drinks and 3 tacos, the calculation would be:

totalcost = (2 * 2) + (5 * 3) = 4 + 15 = 19

So, with 2 drinks and 3 tacos, the total cost would be $19.

You can substitute the values of "d" and "t" with the desired quantities to calculate the total cost for different combinations of drinks and tacos.

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Step-by-step explanation:

To graph the boundary lines of the linear inequalities, we need to first set up the inequalities based on the given information. Let x be the number of popcorn bags and y be the number of cotton candy bags. Then we have:

Chris needs at least 7 bags of popcorn, so the inequality for popcorn is x ≥ 7.

Chris has $56 to spend, so the total cost of popcorn and cotton candy cannot exceed $56, which gives the inequality 3x + 7y ≤ 56.

To graph the boundary lines, we need to first graph the lines corresponding to these two inequalities:

The line x = 7 is a vertical line passing through the point (7,0), because the only restriction on the popcorn is that Chris needs at least 7 bags.

The line 3x + 7y = 56 is a diagonal line with x-intercept 56/3 and y-intercept 8, because these are the points where the line intersects the x and y axes, respectively.

We can now plot these lines on a coordinate plane:

|

8 | x = 7

| o

7 | |

| | 3x + 7y = 56

6 | |

| o

5 |

| o

4 |

|

3 |

|

2 | o

|

1 | o

|____________________________

1 2 3 4 5 6 7 8 9 10

The shaded region below and to the left of the diagonal line represents the solution set to the inequalities, because it includes all the points where Chris can buy at least 7 bags of popcorn and stay within his budget.

Finally, we can plot the given points and identify which ones are part of the solution set:

(3, 7) is not part of the solution set because it is above the diagonal line.

(2, 2) is part of the solution set because it is below and to the left of the diagonal line.

(8, 1) is not part of the solution set because it is above the diagonal line.

(10, 2) is not part of the solution set because it is above the diagonal line.

(5, 5) is part of the solution set because it is below and to the left of the diagonal line.

Therefore, the solution set consists of the points (2, 2) and (5, 5).

Answer:

the side that is opposite of the right angle is called the hypotenuse

Step-by-step explanation:

enjoy this cat

Answer:

i think its -15x + 10y

Step-by-step explanation:

10x - 5y + 5 (5x + y)

10x- 5y + 25x+ 5y

combine

-15x + 10y

Answer:

jacki did not subtract 8 minus 12 properly.8 minus 12 equals -4

Answer:

its c

Step-by-step explanation:

on edunuity

The coordinates of the midpoint of the segment connecting points are (4,-1).

To find the coordinates of the midpoint of the segment:

Given points -

Now, add the respective values in the formula:

Therefore, the coordinates of the midpoint of the segment connecting points are (4, -1).

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(a) The volume V of the box as a function of x is V = 4x^3-60x^2+200x

(b) The domain of V in interval notation is 0<x<5,

(c) The length L , width W, and height H of the resulting box that maximizes the volume is H = 2.113, W = 5.773, L= 15.773

(d) The maximum volume of the box is 192.421 cm^2.

In the given question,

A box is to be made out of a 10 cm by 20 cm piece of cardboard. Squares of side length cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top.

(a) We have to express the volume V of the box as a function of x.

If we cut out the squares, we'll have a length and width of 10-2x, 20-2x respectively and height of x.

So V = x(10-2x) (20-2x)

V = x(10(20-2x)-2x(20-2x))

V = x(200-20x-40x+4x^2)

V = x ( 200 - 60 x + 4x^2)

V = 4x^3-60x^2+200x

(b) Now we have to give the domain of V in interval notation.

Since the lengths must all be positive,

10-2x > 0 ≥ x < 5 and x> 0

So 0 < x < 5

(c) Now we have to find the length L , width W, and height H of the resulting box that maximizes the volume.

We take the derivative of V:

V'(x) = 12x^2-120x+200

Taking V'(x)=0

0 = 4 (3x^2-30x+50)

3x^2-30x+50=0

Now using the quadratic formula:

x=\(\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

From the equationl a=3, b=-30, c=50

Putting the value

x=\(\frac{30\pm\sqrt{(-30)^2-4\times3\times50}}{2\times3}\)

x= \(\frac{30\pm\sqrt{900-600}}{6}\)

x= \(\frac{30\pm\sqrt{300}}{6}\)

x= \(\frac{30\pm17.321}{6}\)

Since x<5,

So x= \(\frac{30-17.321}{6}\)

x= 2.113

So H = 2.113, W = 5.773, L= 15.773.

d) Now we have to find the maximum volume of the box.

V = HWL

V= 2.113*5.773*15.773

V = 192.421 cm^3

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Answer:

Step-by-step explanation:

Since the land is a round enclosure, and it has 2.5 foot wide enclosure of pebbles surrounding, then the circumference of the garden is 2.5ft.

First we need to get the diameter of the garden using the formula;

Circumference= πd

2.5 = πd

d = 2.5/π

d = 2.5/3.142

d =0.796 feet

The total area of a round section of the land = πd²/4

The total area of a round section of the land = π(0/796)²/4

The total area of a round section of the land  = 1.9892/4

The total area of a round section of the land  = 0.4973 ft²

To maximize profit without any restrictions, Gizmo Incorporated should produce 2 grams of flubber. If the government limits production to a maximum of 2 grams and Gizmo Inc. cannot avoid costs, they should still produce 2 grams of flubber. If Gizmo Inc. can avoid all costs by shutting down, they would choose not to produce any flubber (F = 0).

To maximize its profit, Gizmo Incorporated needs to determine the number of grams of flubber it should produce.

First, let's find the derivative of the cost function, C(F), with respect to F. The derivative will give us the rate of change of the cost with respect to the number of grams produced.

C'(F) = 12F^3 - 96F^2 + 228F - 136

Next, let's set C'(F) equal to 0 and solve for F to find the critical points.

12F^3 - 96F^2 + 228F - 136 = 0

Using a graphing calculator or factoring techniques, we can find that the critical points are F = 1 and F = 2.

To determine whether these critical points correspond to a maximum or minimum, we can use the second derivative test. Taking the derivative of C'(F), we get:

C''(F) = 36F^2 - 192F + 228

Evaluating C''(1), we find that it is positive, indicating a minimum. Evaluating C''(2), we find that it is negative, indicating a maximum.

Therefore, Gizmo Incorporated should produce 2 grams of flubber to maximize its profit.

Now, let's consider the scenario where the government limits the maximum production to 2 grams and Gizmo Inc. cannot avoid any of its costs by shutting down.

In this case, Gizmo Incorporated should still produce 2 grams of flubber because it is the maximum allowed quantity.

Now, let's consider the scenario where Gizmo Incorporated can avoid all of its costs by shutting down and choosing F = 0.

Since Gizmo Inc. can avoid all costs, it would be more profitable for them to shut down production and not produce any flubber (F = 0).

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If the distribution is skewed to the right, then mean > median

This is where the tail is pulled to the right due to large outliers. Those outliers pull on the mean.

Answer: k=45

Step-by-step explanation:

Answer:

The angle measures are 45, 45 and 90

Step-by-step explanation:

45+2k+k =180

45 + 3k = 180

3k = 135

k = 45

Discouraging consumers from purchasing products from an insurer is referred to as "consumer dissuasion." It involves implementing strategies or tactics to dissuade potential customers from choosing a particular insurance company or its products.

Consumer dissuasion is a practice employed by insurers to discourage consumers from selecting their products or services. This strategy is often used to manage risk by discouraging individuals or groups that insurers perceive as having a higher likelihood of filing claims or incurring higher costs. Insurers may employ various techniques to dissuade potential customers, such as setting higher premiums, imposing strict eligibility criteria, or offering limited coverage options. The purpose of consumer dissuasion is to selectively attract customers who are deemed less risky or more profitable for the insurer, thereby ensuring a healthier portfolio and reducing potential losses. By implementing strategies that discourage certain segments of the market, insurers can manage their risk exposure and maintain profitability. It is important to note that consumer dissuasion practices should adhere to applicable laws and regulations governing the insurance industry, including fair and transparent practices. Insurers are expected to provide clear and accurate information to consumers, enabling them to make informed decisions about insurance coverage and products.

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Answer:

well in algebra we work with slope. we do other things but you use this the most.

Step-by-step explanation:

the equation for slope is y=mx+b. mx is the slope and b is the y-intercept. example: y=2x+6. the slope is 2 and the y-intercept is 6.

There were 3 numbers in the original collection Let's assume the original collection has "n" numbers.According to the given information, when the number 85 is removed, the average decreases by 1.

This means that the sum of the remaining numbers in the collection is now "n-1" less than the original sum. After removing 85, the average decreases by 1, so we can write the equation: (Sum of remaining numbers) / (n-1) = (Sum of original numbers) / n - 1 = (Average before) - 1. Next, it is stated that when the number 74 is removed from the remaining collection, the average does not change. This means that the sum of the remaining numbers after removing 74 is the same as before. So, we can write the equation: (Sum of remaining numbers) / (n-2) = (Sum of original numbers) / n - 2 = (Average before) = (Average after) - 1. From these two equations, we can equate the right-hand sides since the averages are the same: (Average before) - 1 = (Average after) - 1. Average before = Average after. Simplifying the equation, we get:(Average before) = (Average before) - 1. This equation is not possible unless the term "1" on both sides cancels out. Therefore, we conclude that the original collection had only 3 numbers.

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Answer:

a

Step-by-step explanation:

The answer of the function found to be x = −4 and x = 2,  with M = 38.

We must consider the function,

f (x) = x³ + 6x² + 6

Over the interval  

-5 \(\leq\) x \(\leq\) 2

To obtain the extrema we start from the function's derivative.

f' (x) = 3x² + 12x

Equating it to 0,

f' (x) = 0 = 3x(x +4) = 0

We arrive at two solutions,

x1 = 0,     x2 = -4   both inside the interval.

Evaluating the function at the stationary points,

f (x1) = 6

f (x2) = (-4)³ + 6 . (-4)² + 6 = -64 + 96 + 6 = 38

These values must be compared to that of the function at the interval frontiers,

f (-5) = (-5)³ + 6 . (-5)² + 6 = -125 + 150 + 6 = 31

f (2) = 2³ + 6 . 2² + 6 = 38

Comparing the results we can conclude that the function attains its absolute minimum at,

x = 0,      m = 6

Meanwhile, the absolute maximum is attained at the points,

x = −4 and x = 2,  with M = 38.

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Answer: From what I understand you want me to do 7*(-15)??? and the answer to that is -105.

Step-by-step explanation: All you have to do is 7*-15