The net of a square pyramid is shown in the diagram.
What is the total surface area of the square pyramid in square inches?

Answer:

\(\huge\boxed{\sf{Und.efined}}\)

Step-by-step explanation:

Hello.

There are 2 ways to solve this problem.

One of them is to use the slope formula.

The other one is to simply look at the x-coordinates and see that they are the same.

This means the slope is undefined.

I hope it helps.

Have a great day.

\(\boxed{imperturbability}\)

Answer:

infinite

Step-by-step explanation:

\(\mathsf{slope=\dfrac{change \ in \ y}{change \ in \ x}}\)

\(\implies \mathsf{slope=\dfrac{0-3}{-4--4}=-\dfrac30}\)

Therefore the slope is infinite

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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Answer:

(0, 10 )

Step-by-step explanation:

5 units up means add 5 to the y- coordinate

3 units left means subtract 3 from the x- coordinate

Translation rule is

(x, y ) → (x - 3, y + 5 ) , thus

(3, 5 ) → (3 - 3, 5 + 5 ) → (0, 10 )

Answer:

5/1         i hope this helps :) lmk if you need anymore help

Answer:

Step-by-step explanation:

2 • (n2 + 2n + 2)

--------------------------

             N    

Answer:

3

Step-by-step explanation:

Based on the calculations, the values that could be the length of the third side are B. 10 and E. 8. Therefore, the correct options are B. 10 and E. 8.

To determine the possible values for the length of the third side of the triangle, we can use the triangle inequality theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given sides of lengths 5 and 13, we can check which values satisfy the triangle inequality:

The sum of the lengths of the two sides must be greater than the length of the third side:

5 + 13 > Third side

18 > Third side

Now let's check each given value:

A. 2: Not possible, since 18 > 2 does not hold true.

B. 10: Possible, since 18 > 10 holds true.

C. 24: Not possible, since 18 > 24 does not hold true.

D. 5: Not possible, since the given length is already one of the sides.

E. 8: Possible, since 18 > 8 holds true.

F. 19: Possible, since 18 > 19 does not hold true.

Based on the calculations, the values that could be the length of the third side are B. 10 and E. 8.

Therefore, the correct options are B. 10 and E. 8.

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To sketch the region enclosed by the curves y = x^2 - 2x and y = 3x + 6, we first need to determine the points of intersection between the two curves.

Setting the equations equal to each other, we have:

x^2 - 2x = 3x + 6

Rearranging the equation, we get:

x^2 - 5x - 6 = 0

Factoring the quadratic equation, we have:

(x - 6)(x + 1) = 0

This gives us two solutions: x = 6 and x = -1.

Now we can plot the curves and the points of intersection on a coordinate system:

   |

   |

   |

   |       /

   |      /

   |     /

   |    /|

   |   / |

   |  /  |

   | /   |

   |/    |

   |-----|-----

        |

  -2    |    6

The curve y = x^2 - 2x is a parabola that opens upward, and the curve y = 3x + 6 is a line with a positive slope.

To determine whether to integrate with respect to x or y, we need to consider the orientation of the region. Since the curve y = x^2 - 2x is above the curve y = 3x + 6 in the region of interest, we will integrate with respect to x.

To visualize a typical approximating rectangle, let's consider a vertical rectangle with its height determined by the difference between the two curves at a given x-coordinate. The width of the rectangle will be an infinitesimally small change in x.

   |------|------|------|------|------|------|------|------|------|------

        |      |      |      |      |      |      |      |      |

        |      |      |      |      |      |      |      |      |

        |------|------|------|------|------|------|------|------|------

          -1     -0.5     0       0.5     1       1.5     2       2.5     3

By summing up the areas of these infinitesimally small rectangles, we can approximate the area of the region enclosed by the curves.

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a. The joint probability function for Y1 and Y2 can be expressed as follows:

P(Y1 = y1, Y2 = y2) = (2! / y1! y2! (2 - y1 - y2)!) * (1/3)^y1 * (1/3)^y2 * (1/3)^(2 - y1 - y2), where y1, y2 = 0, 1, 2.

b. The probability that firm A is assigned exactly one contract and firm B is assigned zero contracts is 1/3

The joint probability function for Y1 and Y2 is determined by considering the number of ways in which the two contracts can be assigned to the three firms. Since each firm can receive 0, 1, or 2 contracts, there are (3^2) = 9 possible outcomes for the pair (Y1, Y2). However, not all outcomes are equally likely. To determine the probability of each outcome, we use the following reasoning:

There are (2!) / (y1! y2! (2 - y1 - y2)!) ways to assign the two contracts to firms A, B, and C, where y1 and y2 represent the number of contracts assigned to firms A and B, respectively. The factor of 2! accounts for the fact that there are two contracts to be assigned, while the denominator takes into account the number of ways in which these contracts can be assigned to the three firms.

Since the contracts are randomly assigned, the probability of firm A receiving a particular contract is 1/3, and the same holds for firms B and C. Therefore, the probability of assigning y1 contracts to firm A and y2 contracts to firm B is (1/3)^y1 * (1/3)^y2.

The remaining contract must be assigned to firm C. Therefore, the probability of the remaining contract being assigned to firm C is (1/3)^(2 - y1 - y2).

Putting these three factors together yields the joint probability function given above.

To find F(1,0), we need to sum the joint probabilities for all outcomes where Y1 = 1 and Y2 = 0, as well as for all outcomes where Y1 < 1 and Y2 = 0. Therefore,

F(1,0) = P(Y1 = 1, Y2 = 0) + P(Y1 = 0, Y2 = 0)

= [(2! / 1! 0! (2 - 1 - 0)!) * (1/3)^1 * (1/3)^0 * (1/3)^(2 - 1 - 0)] + [(2! / 0! 0! (2 - 0 - 0)!) * (1/3)^0 * (1/3)^0 * (1/3)^(2 - 0 - 0)]

= (2/9) + (1/9)

= 1/3

Therefore, the probability that firm A is assigned exactly one contract and firm B is assigned zero contracts is 1/3

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Answer:

1 = 123 degrees

Step-by-step explanation:

A Triangle = 180 degrees

A flat line = 180 degrees

To solve this, we need to figure out the triangle first :)

60 + 63 + t = 180

123 + t = 180

180 - 123 = 57

Now that we know the triangle, we can figure out x :)

180 - 57 = 123

1 = 123

Have an amazing day!!

Please rate and mark brainliest!!

The third step in the scientific method, after formulating a hypothesis, is to design and conduct experiments or gather data to test the hypothesis.

Once a hypothesis has been formulated, it needs to be tested through empirical investigation. This involves designing and conducting experiments, or gathering relevant data, to gather evidence and evaluate the validity of the hypothesis.

The purpose of this step is to systematically collect data and observations that can either support or refute the hypothesis. By conducting experiments or gathering data, scientists aim to gather empirical evidence that can provide insights into the relationship between variables and help draw conclusions about the hypothesis.

This step often involves developing a research plan, selecting appropriate methods, identifying variables, collecting data, and analyzing the results. The experiments or data collection process should be carefully designed to ensure that they provide meaningful and reliable information to test the hypothesis.

The third step in the scientific method is to design and conduct experiments or gather data to test the hypothesis. This step involves systematically collecting empirical evidence to evaluate the validity of the hypothesis and draw conclusions based on the results.

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Step 1: Write out the inequality

Step 2: Rewrite the inequality as shown below

Step 3: Subtract 29 from both sides of the inequality

Step 4: Graph the solution of the inequality

Hence, the correct option is G

Answer:

A, C, and D

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

Answer:

B. supplementary angles

Step-by-step explanation:

The dimensions that will admit the most light are, the breadth of the rectangular window is  \(2b = \frac{20+10\pi }{4+3\pi }\), the length of the window is \(2l = \frac{40}{4+3\pi }\) and the radius of the semicircular arc is  \(l= \frac{20}{4+3\pi }\).

In the given question,

Let the length and breadth of the rectangular part of the window be 2l and 2b respectively. So the radius of the semicircular arc will be l.

The total perimeter of the window will be 1 length of the rectangle, 2 breadths of the rectangle, and the length of the semicircular arc.

l+2b+πl = 10

(1+π)l+2b = 10

\(b = \frac{1}{2} [10-(1+\pi )l]\)

To admit maximum light through the window implies that the area of the window is maximized.

The area of the window will be:

\(A = (2l)(2b)+\frac{\pi l^{2} }{2}\)

\(= 4lb+\frac{\pi l^{2} }{2} \\= 2l[10-(1+\pi )l] +\frac{1}{2} \pi l^{2}\)

\(= 20l-2l^{2} -2\pi l^{2} +\frac{1}{2} \pi l^{2}\)

\(= 20l-2l^{2} - \frac{3}{2} \pi l^{2}\)

For the area to be maximum,

\(\frac{dA}{dl} =0\\20 -4l -3\pi l = 0\\l= \frac{20}{4+3\pi }\)

\(b = \frac{1}{2} [10-(1+\pi )\frac{20}{4+3\pi }\\b = \frac{10+5\pi }{4+3\pi }\)

Therefore, the breadth of the rectangular window is \(2b = \frac{20+10\pi }{4+3\pi }\), the length of the window is \(2l = \frac{40}{4+3\pi }\) and the radius of the semicircular arc is \(l= \frac{20}{4+3\pi }\).

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Answer:

14

Step-by-step explanation:

7+7

Answer:

(x + 1)(x + 2) = 7x - 1

{1, 2, 3} and {3, 4, 5}

Step-by-step explanation:

Let the three consecutive integers be x, x + 1, and x + 2.

(x + 1)(x + 2) = 7x - 1

x² + 3x + 2 - 7x + 1 = 0

x² - 4x + 3 = 0

(x - 3)(x - 1) = 0

x - 3 = 0  or  x - 1 = 0

x = 3  or  x = 1

For x = 1,

x = 1, x + 1 = 2, x + 2 = 3

For x = 3,

x = 3, x + 1 = 4, x + 2 = 5

Answer: {1, 2, 3} and {3, 4, 5}

Answer:

Step-by-step explanation:

We can describe it as a linear function with points of:

Slope intercept formula:

Finding the slope using the two given points:

Finding b:

Formula obtained:

For x = 20, value of y is:

How is the Additive Identity Property similar to the Multiplicative Identity Property?

How is it different?

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Answer: X = (d-b) / (a-c)

This way this worded is weird but I think I got it

Step-by-step explanation:

Subtract B from both sides

ax = cx +d -b

Then subtract CX from both sides

ax -cx =d-b

Distributive Property

x(a-c) =d-b

Divide both sides by a-c

X = (d-b) / (a-c)

We can find a 95% prediction interval for arsenic levels for the lowest latitude, highest longitude, and lowest depth that are within the range of the sample data.

Arsenic is a toxic element that can be found in groundwater due to natural sources such as rocks and minerals, or human activities such as mining and agricultural practices.

The study mentioned in this exercise aimed to test the reliability of a commercial kit used to test for arsenic in groundwater. To do this, the researchers collected data on arsenic levels in groundwater from various locations, taking into account the latitude, longitude, and depth of each sample.

Based on the model statistics, the researchers concluded that the arsenic level is highest at a low latitude, high longitude, and low depth. This means that areas located closer to the equator (i.e., low latitude) and farther east (i.e., high longitude) with shallower groundwater (i.e., low depth) are more likely to have higher levels of arsenic in their groundwater.

This prediction interval will give us a range of possible arsenic levels at these specific coordinates based on the model we fitted.

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Answer:

Step-by-step explanation:

Supplementary angles have a sum of 180 degrees.

a+a-27.2=180

2a-27.2=180

2a=207.2

a=103.6, and since b=a-27.2

b=76.4

So one angle is 103.6 degrees and the other is 76.4 degrees.

Answer:

$21.70

Step-by-step explanation:

I hope this helps!

Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496

Answer:

Vertical line (straight up and down)

Step-by-step explanation:

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Answer:

Step-by-step explanation:

the slope of any line is rise/run. What this means is that you have the change in y value divided by the change in x. If you have two points whos x value stays the same, or does not change, you have the change in y divided by 0. Dividing any number by 0 gives you the answer “undefined”.

The common denominator for the fractions given will be:

1. The common denominator is 8.

2. The common denominator is 6.

3. The common denominator is 10.

4. The common denominator is 12.

It should be noted that when a fraction is illustrated as a/b.

a = numerator

b = denominator.

1. We have 1/8 and 1/4. The common denominator is 8 since that's the lowest common multiple for the denominators.

2. We have 4/6 and 1/2. The common denominator is 6 since that's the lowest common multiple for the denominators.

3. We have 2/5 and 1/2. The common denominator is 10 since that's the lowest common multiple for the denominators.

4. We have 5/12 and 1/4. The common denominator is 12 since that's the lowest common multiple for the denominators.

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Answer:

x= 1.16 y=14 ...........

Answer:

x intercept= -1/2

y intercept= 4

Step-by-step explanation:

its easy, the answers are in the equation- y=−1/2x+4

Answer:

It is Number A

Step-by-step explanation:

Got it off edge 2021 6th grade assighnment

Answer:

a lol

Step-by-step explanation:

Answer:

neither an Euler path or Euler circuit