A right rectangular pyramid is sliced vertically (down) at the red line by a plane not passing through the vertex of the pyramid m. What is the shape of the cross section?



A. Trapezoid


B. Rectangle


C. Triangle


D. Cylinder

Answer:

Step-by-step explanation:

this will be the outter circle minus the inner circle for the area of the sidewalk

area of circle = \(\pi\)\(r^{2}\)

\(\pi\)\(11^{2}\) = 380.1327

\(\pi\)\(9^{2}\) = 254.469

380.1327 - 254.469 =125.6637062\(m^{2}\)

ANSWER

EXPLANATION

Let the two points be (2, 4) and (3, 9).

The general form of the equation of a straight line is given by:

where m = slope

b = y-intercept

First, we have to find the slope of the line using the formula:

where (x1, y1) and (x2, y2) are the two points that the line passes through

Therefore, the slope of the line is:

Now, we find the equation of the line using the point-slope method:

Therefore, the equation of the line is:

z = 20°

Hope it helps! Please do comment if you have any query.

Thank you

The standard deviation of the total sales per day for the shoe store is approximately $1743.28.

To find the standard deviation of the total sales per day for the shoe store, we need to first find the mean and variance of the total sales.

The number of customers visiting the store follows a Poisson distribution with a rate of 70 per day. Let X be the number of customers per day, then X ~ Poisson(70).

The proportion of customers that make a purchase is 45%. Let Y be the number of customers that make a purchase, then Y ~ Binomial(X, 0.45).

The amount spent by a paying customer follows an exponential distribution with a mean of $120. Let Z be the amount spent by a paying customer, then Z ~ Exp(1/120).

Now, let's find the mean and variance of the total sales per day.

E[XY] = E[E[XY|X]] = E[X * 0.45] = 70 * 0.45 = 31.5

E[Z] = 120

E[XYZ] = E[E[XYZ|XY]] = E[XY * 120] = 31.5 * 120 = 3780

Var(XY) = E[Var(XY|X)] + Var(E[XY|X]) = E[X * 0.45 * 0.55] + Var(X * 0.45) = 70 * 0.45 * 0.55 + 70 * 0.45 * 0.55 = 17.325

Var(Z) = 120^2

Var(XYZ) = E[Var(XYZ|XY)] + Var(E[XYZ|XY]) = E[XY * 120^2] + Var(XY * 120) = 31.5 * 120^2 + 17.325 * 120^2 = 3035250

Therefore, the variance of the total sales per day is Var(XYZ) = 3035250.

The standard deviation of the total sales per day is the square root of the variance:

SD(XYZ) = sqrt(3035250) = 1743.28

Therefore, the standard deviation of the total sales per day for the shoe store is approximately $1743.28.

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Answer:

just think of this, The domain of a rational function consists of all the real numbers x except those for which the denominator is 0 . To find these x values to be excluded from the domain of a rational function, equate the denominator to zero and solve for x .

The expression x + 80 represents the number of coins Arthur has now, since he x pennies and an additional 6 dimes and 4 nickels.

We shall convert the pennies, dimes and nickels into same unit before adding to get the expression for the number of coins Arthur will have in total.

A penny = 1 cent, so

x pennies = x cents

A dime = 10 cents so;

6 dimes = 6 × 10cents

6 dimes = 60 cents

A nickel = 5 cents so;

4 nickels = 4 × 5 cents

4 nickels = 20 cents

Arthur's coins in total = (x + 60 + 40) cents

Arthur's coins in total = (x + 80) cents.

Therefore, the expression expression x + 80 represents the number of coins Arthur will have in total, wether in pennies, dimes or nickels.

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Answer:

A) 129° B)66°

Step-by-step explanation:

A) A is 129° because the angle is alternate to it.

B) B is 66° because it the angle you would be trying to find would be alternate to that angle, however we do not yet have the angle. To find this angle, we will need to do 180-114 as angles on straight lines add up to 180°. 180-144 is subsequently 66°.

Answer:

  y = (4 -x)e^-2

Step-by-step explanation:

You want an equation of the tangent line to the graph of f(x) = xe^−x at its inflection point.

The inflection point on a curve is the point where the second derivative is zero, where the curve changes from being concave downward to concave upward, or vice versa.

We can use the product rule to differentiate f(x):

  (uv)' = u'v +uv'

  f'(x) = 1·e^-x +x·(-1)(e^-x) = (e^-x)(1 -x)

Then the second derivative is ...

  f''(x) = (-e^-x)(1 -x) +(e^-x)(-1) = (e^-x)(x -2)

The second derivative is zero where one of its factors is zero. e^-x is never zero, so we have ...

  (x -2) = 0   ⇒   x = 2

The point of inflection occurs at x = 2.

The point-slope equation of the line with slope m through point (h, k) is ...

  y -k = m(x -h)

For this problem, we have ...

  m = f'(2) = (e^-2)(1 -(2)) = -e^-2

  (h, k) = (2, f(2)) = (2, 2e^-2)

So, the equation of the tangent line is ...

  y -2e^-2 = -e^-2(x -2)

In slope-intercept form, this is ...

  y = (-e^-2)x +4e^-2

__

Additional comment

We can rearrange the equation to ...

  y = (4 -x)e^-2

Usually a tangent line touches the graph, but does not cross it. The tangent at the point of inflection necessarily crosses the graph.

The probability of getting a z-score of -356.5625 or lower is essentially 0. Therefore, the likelihood of the diameter being within 1-0.03 inches is extremely low (close to 0%).

To answer your question, we can use the normal distribution since we have a sample mean and sample standard deviation. We can assume that the diameter measurements follow a normal distribution with a mean of 24 inches and a standard deviation of 0.064 inches.

To find the likelihood of the diameter being within 1-0.03 inches, we need to standardize the values using the formula:

z = (x - μ) / σ

where x is the value we want to find the likelihood for (in this case, 1-0.03 = 0.97 inches), μ is the mean (24 inches), and σ is the standard deviation (0.064 inches).

So, plugging in the values:

z = (0.97 - 24) / 0.064 = -356.5625

This gives us a z-score of -356.5625. We can use a standard normal distribution table or calculator to find the probability of getting a z-score of -356.5625 or lower.

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Answer:

x = 13.85 cm

Step-by-step explanation:

Forming the equation,

→ (16)² = (x)² + (8)²

Now the value of x will be,

→ (16)² = (x)² + (8)²

→ 256 = x² + 64

→ x² = 256 - 64

→ x = √192

→ x = 13.8564

→ [ x = 13.85 ]

Hence, value of x is 13.85.

Answer. I think is A

Step-by-step explanation:

Answer:

It will take them 7.89 days

There are 144 ways to list the digits {1, 1, 2, 2, 3, 4, 5} such that two identical digits are not in consecutive positions.

We have to list the digits {1, 1, 2, 2, 3, 4, 5} so that two identical digits are not in consecutive positions. We can use the knowledge of permutations and combinations to solve this problem. We can start by selecting the positions for the distinct digits, i.e., (3, 4, 5). There are 3 distinct digits, so there are 3! = 6 ways to arrange them.

Once we have placed the distinct digits, we can place the two 1's and two 2's in the remaining positions such that no two identical digits are in consecutive positions. To do this, we can use the following approach:

We can start by placing one of the 1's. There are 4 positions available for the first 1.

We can then place one of the 2's. There are 3 positions available for the first 2.

We can then place the second 1. There are 2 positions available for the second 1.

We can then place the second 2. There are 1 positions available for the second 2.

Therefore, the total number of ways to list the digits {1, 1, 2, 2, 3, 4, 5} such that two identical digits are not in consecutive positions is:

6 (arrangements of distinct digits) x 4 x 3 x 2 x 1 = 144.

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Answer:

5x+2y=36-------(1)

2x+3y=43-------(2)

Now ,

from(1)

5x+2y=36

or, X=(36-2y)/5-------------------(3)

now putting the value of x in eqn ----(2)

72-4y+3y=43

or, 72-43=y

:- Y=29✔️✔️

Again .putting the value of Y in eqn-----(3) we get,

;- X=(36-2×29)/5

or, X=(36-58)/5

or, X=. (-22)/5

X= (-22)/5 or 4.4✔️✔️

The applicability of the 4+1 model depends on the size and complexity of the project. Smaller projects may not require its full implementation, while larger projects can benefit from its structured approach.



The 4+1 model, also known as the Kruchten's model, is a software architecture design approach that consists of four views (logical, process, development, and physical) and an additional use case view. Whether the 4+1 model is applicable to all sizes of projects depends on the specific context and requirements of each project.For smaller projects with limited complexity and scope, adopting the full 4+1 model may be excessive and unnecessary. It might introduce unnecessary overhead in terms of documentation and development effort. In such cases, a simpler and more lightweight architectural approach may be more suitable, focusing on the essential aspects of the project.

However, for larger and more complex projects, the 4+1 model can provide significant benefits. It offers a structured and comprehensive approach to architectural design, allowing different stakeholders to understand and communicate various aspects of the system effectively. The use of multiple views provides a holistic understanding of the system's architecture, which aids in managing complexity, facilitating modular development, and supporting system evolution.

Ultimately, the applicability of the 4+1 model depends on the project's size, complexity, and the needs of the development team and stakeholders. It is essential to evaluate the project's specific requirements and constraints to determine the appropriate level of architectural modeling and documentation.

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Answer:

it should be 251, if i did it correct lol

Step-by-step explanation:

Answer:

I'll set up the problem and you can do the calculation

Step-by-step explanation:

we need to complete the squares to get the equation in the general form:

\( {(x - h)}^{2} + {(y - k) }^{2} = {r}^{2} \)

where h = the x coordinate of the center

k = the y coordinate of the center

r = the radius

so looking at

\( {x}^{2} - 2x\)

we can see that if use -1 as the constant we have

\( {(x - 1)}^{2} = {x}^{2} - 2x + 1\)

doing the same for y

\( {y}^{2} - 4y\)

we can use -2 as the constant (basically you that the s

quare of the y coefficient )

\( {(y - 2)}^{2} = {y}^{2} - 4y + 4\)

so now we have to add or subtract the constant on the RHS to see what the square of the radius is according to the general form of the equation at the top

20 +1+4=25

Take the square root and you have the radius

The additional analysis and evidence may be needed to establish a causal relationship between variables.

The existence of an overall pattern of joint variation between variables, regardless of origin or cause.

In statistics, an association refers to the presence of a relationship or pattern of joint variation between two or more variables. This pattern can take various forms, including linear or curved, but the key characteristic is that the variables tend to vary together in some way.

However, an association alone does not necessarily imply causation. In other words, just because two variables are associated or vary together does not mean that one variable causes the other. Additional analysis and evidence may be needed to establish a causal relationship between variables.

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Answer:

(3; - 4)

Step-by-step explanation:

Blue: y = -x - 1

Red: y = -2x + 2

The result of applying the square root property of equality to this equation is x = (-b ± √(b² - 4ac)) / (2a)

If we apply the square root property of equality to the equation (x + (b/2a))² = (-4ac + b²)/(4a²), we get:

x + (b/2a) = ±√[(-4ac + b²)/(4a²)]

Next, we can simplify the expression under the square root:

√[(-4ac + b²)/(4a²)] = √(-4ac + b²)/2a

Now, we can substitute this expression back into our original equation:

x + (b/2a) = ±√(-4ac + b²)/2a

Finally, we can isolate x by subtracting (b/2a) from both sides:

x = (-b ± √(b² - 4ac)) / (2a)

This is the quadratic formula, which gives us the solutions for the quadratic equation ax² + bx + c = 0. By completing the square, we have derived this formula from the original quadratic equation.

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Complete question is:

In the derivation of the quadratic formula by completing the square, the equation (x+ (b/2a))² =(-4ac+b²)/(4a²) is created by forming a perfect square trinomial What is the result of applying the square root property of equality to this equation?

Answer:

pls give that 17$ then I will twll

Answer:

oop- morgannnn

Step-by-step explanation:

In figure one the value of   ∠2 = 65 °  ∠1 = 115° .

In figure two the value of   ∠2 = 74°  ∠1 = 106°.

In the case of parallel lines, corresponding angles are congruent. Corresponding pairs are all angles that are situated in the same location with respect to the parallel and transversal lines. According to the definition of corresponding angles, when three parallel lines intersect two of them, the angles that are present at each intersection and are in the same relative position are said to be corresponding angles. Alternate angles, co-Interior angles, and matching angles are three facts regarding angles in parallel lines that we use to do this. When a transversal crosses two parallel lines, alternate and matching angle pairs coincide. Only when a transversal crosses two parallel lines perpendicularly are consecutive angles congruent. When a transversal intersects two parallel lines, however, subsequent angles are not necessary.

Figure 1

Given angle = 65°

=  ∠2

Cause they are corresponding angles.

∠1  + ∠2 = 180°

∠1   = 115

Figure 2

Given angle = 74 °

= ∠ 2

Cause they are corresponding angles.

∠1  + ∠2 = 180°

∠1   = 106°

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Answer:

7,200

Step-by-step explanation:

Let's start by calculating how many students the university accepts. The problem says they accept 60% of the students. 60% as a decimal is 0.6. To calculate 60% of something, you multiply .60 by whatever quantity. In this case, it would be the students.

Number of accepted students = \(.6 * 30000\) = 18,000

The university accepts 18,000 students.

Now, the next problem is that of those accepted students, we need to find out how many actually enroll. The problem says they accept 40% of the accepted students. Applying the same principle,

Number of enrolled students = \(.4 * 18000\) = 7,200

The number of students that actually enroll is 7,200.

Alternatively, \(.6 * 30000 * .4\) would give you the same result.

Combining the pieces together, we are asking for 60% of 30,000. Then getting 40% of that 60%.

Answer:

exothermic reaction

Step-by-step explanation: Tbh I just guessed...... ;0; this is very easy lol

Answer:

exothermic reaction

Step-by-step explanation:

The endothermic reaction (B) would be going all the way down and C would be on the side. The exothermic reaction is what the picture is.

Answer:

2,359,000,000

Step-by-step explanation:

Answer:

2,359,000,000 would be the standard form

Step-by-step explanation:

The value of √150 is 5√6.

What is square root?

A number y such that y2 = x, or a number y whose square is x, is referred to as the square root of a number x in mathematics. For instance, since

4^2 = (-4)^2 = 16, 4 and -4 are the square roots of 16.

Consider the given expression, √150

150 can be written as, 150 = 25 x 6

√150 = √(25 x 6)

Here 25 is a perfect square,

25 = 5^2

So,

√150 = √(5^2 x 6)

Since √5^2 = 5

Therefore, √150 = 5√6.

So, fourth option is correct.

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