Determine point(s) on the following curves where it contains vertical / horizontal tangent lines. 13 Jx=21 -1-5t +1 x = cos(0) a) b) (y=1-41+1 y = sin (31) X = t 2

Answer:

⁴/6

Step-by-step explanation:

6-2=4 then 4/6

done understand or need more explanation

Answer:

I think it is C

Step-by-step explanation:

We cannot say with absolute certainty that the true relationship between the LHS and RHS variables is not influenced by other factors.

If we say that an estimate is statistically significant, it means that the difference or relationship observed between the left-hand side (LHS) variable and the right-hand side (RHS) variable is unlikely to have occurred by chance alone.

However, it does not necessarily mean that we are 100% certain of the true relationship between the LHS and RHS variables. There may still be other factors or variables that were not accounted for in the analysis that could affect the relationship between the two variables.

Therefore, we cannot say with absolute certainty that the true relationship between the LHS and RHS variables is not influenced by other factors.

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The side of the square of each block = 2 feet

Given,

Shelly sews a square blanket that has an area of 144 square feet.

and,  it has 36 square blocks, each the same size.

To find the approximate length of each side of a block

Now, According to the question:

36 square blocks of same size. We need to find the area of each square block. so we divide = area / square blocks

= 144/ 36

= 4

The area of each square = 4 square feet

We know that

Area of square = side ^2

Side ^2 = 4

side = \(\sqrt{4}\)

Side = 2

Hence, The side of the square of each block = 2 feet

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Answer:

22 m

Step-by-step explanation:

Diameter d = 7 m

Circumference of the circle C =?

\(C = \pi d = 3.14 \times 7 \\ \\ C= 21.98 \: m\\ \\ C \approx 22.0 \: m\)

The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

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The area of the composite figure is 84.85 square units

The area of the composite figure is solved by breaking it up and adding together

To find the area of a semicircle of diameter 8, we first need to find the radius of the semicircle, which is half of the diameter:

radius = diameter / 2 = 8 / 2 = 4

area of semicircle = (1/2) * pi * radius^2

= (1/2) * pi * 4^2

= 8 pi

Now, let's find the area of the parallelogram. The area of a parallelogram is given by the formula:

area of parallelogram = base * height

In this case, the base is 10 and the height is 6, so we have:

area of parallelogram = 10 * 6

= 60

total area = area of semicircle + area of parallelogram

= 8 pi + 60

= 60 + 8 pi (in exact form) or approximately 84.85 (rounded to two decimal places)

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Answer:

\(r = \sqrt{ {(6 - 2)}^{2} + {(1 - ( - 3))}^{2} } \)

\(r = \sqrt{ {4}^{2} + {4}^{2} } = \sqrt{16 + 16} = \sqrt{32} \)

So the equation of the circle is

\( {(x - 2)}^{2} + {(y + 3)}^{2} = 32\)

We introduced three conditions that should be met before we construct a confidence interval for an unknown population proportion: Random, Normal, and Independent.

There are three crucial requirements that must be met in order to establish a confidence interval. These are Independent, Random, and Normal.

Any survey is carried out objectively.

It is required to assure randomness. An independent choice is equally likely to be made in a random sample. Similar to how the confidence interval is built, normal is used to confirm which phenomena are being employed or to correct the approach if necessary. In a similar vein, independent is crucial because it contains the facts to be analyzed. For the purpose of calculating the standard deviation, independent is used.

Therefore, it's crucial to consider the Random, Normal, and Independent criteria while building a confidence interval.

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The number of choice out of 7 that consumer have are 42.

The term permutation alludes to a numerical computation of the quantity of ways a specific set can be sorted out. Set forth plainly, a change is a word that depicts the quantity of ways things can be requested or organized. With stages, the request for the course of action matters.

Number of choices of side dishes does a customer have,

total dishes(n)=7 , r = 2

ⁿP₂

⁷P₂

7×6 = 42

Thus required number of ways are 42.

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The perimeter of the hexagon is the sum of its side lengths

The perimeter of the hexagon is 48.5 ft

The given parameters are:

\(\mathbf{Area = 169.74}\) --- the area of the hexagon

\(\mathbf{a = 7}\) -- the apothem

Let the perimeter of the hexagon be p.

So, the area is calculated as:

\(\mathbf{Area = \frac 12 pa}\)

Substitute values for Area and (a)

\(\mathbf{169.74 = \frac 12 \times p \times 7}\)

Multiply both sides by 2

\(\mathbf{339.48= p \times 7}\)

Divide both sides by 7

\(\mathbf{48.5= p }\)

Rewrite as:

\(\mathbf{p = 48.5}\)

Hence, the perimeter of the hexagon is 48.5 ft

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Step-by-step explanation:

A chord is a segment with endpoints on the circle.

A tangent line is a line that touches a circle at only one point.

A diameter is a chord that passes through the center of the circle.

A secant line is a line that touches a circle at two points.

Therefore, AB is a secant line.

The statement related to the diagram is true is that AB is the secant line.

A chord should be treated as the segment that contains the endpoints on the circle. A tangent line refers to the line that touches a circle at only one point. A diameter refer to a chord that passes via the center of the circle. A secant line should be a line that touches a circle at two points.

Hence, The statement related to the diagram is true is that AB is the secant line.

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Answer:

7 inches

Step-by-step explanation:

formula for a trepezoid is 1/2(a+b)*h

1/2(5+x)X3=18 (now make x the subject)

(5+x)X3=36

5+x=12

x=7

so the other base is 7in

Answer:

Addition Property of Equality, or A

Step-by-step explanation:

This is the definition of addition property of equality

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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Option a, adjacency matrix. An adjacency matrix is a two-dimensional array that represents a graph's edges, where the rows and columns correspond to the vertices of the graph. If there is an edge between two vertices, the corresponding element in the matrix is set to 1, otherwise it is set to 0. This implementation is useful for dense graphs, where the number of edges is close to the maximum possible number of edges.

An adjacency matrix is a simple and efficient way to represent graphs that have a large number of vertices and edges. It allows for fast lookups of the existence of an edge and is useful for various algorithms that require graph representation. However, it is not suitable for sparse graphs, where the number of edges is much smaller than the maximum possible number of edges. In such cases, an adjacency list would be more appropriate.

The common implementation of a graph that uses a two-dimensional array to represent the graph's edges is called an adjacency matrix.

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Answer:

(1,3)

Step-by-step explanation:

Given system of equations is :-

We can solve this by using substitution method by substituting the value of y from equation (1) into equation (2) as ,

2x + 1 = x + 2

Subtract x on both sides,

2x - x + 1 = 2

Simplify,

x = 2 - 1

x = 1

Substitute this value of x into equation (2) as ,

y = 1 + 2

y = 1 + 2

y = 3

Hence the required answer is (1,3) .

and we are done!

The requried simplified value of x in the given expression is given as x = 128/27.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
x ÷ 2/3= 7 1/9

Simplifying the above expression,
x = (7×9 +1 / 9) × 2/3
x = 64/9 × 2/3
x = 128/27

Thus, the requried simplified value of x in the given expression is given as x = 128/27.

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Answer:

Pete

Step-by-step explanation:

Given that:

Mandy's Estimate :

Number of spins , n = 20

Pete's Estimate:

Number of spins, n = 200

A good probability estimate is one which has narrow margin of error with a high degree of confidence. These two variables are affected by sample size.

A high sample size give a narrower margin of error and increases the confidence level probability

Based on the sample size used by each of Pete and Mandy, we can conclude that, Pete's probability estimate would be better due to its significantly higher sample size.

The statement "The two-second rule is the accepted method of computing the following distance" is true.

The two-second rule is a widely recognized guideline used to determine a safe distance to maintain between vehicles while driving. It suggests that drivers should keep a time gap of at least two seconds between their vehicle and the vehicle in front of them.

The two-second rule is based on the principle that it takes about two seconds for a driver to perceive a hazard, react to it, and begin to apply the brakes. By maintaining this time gap, drivers allow themselves enough space to react to sudden changes in the traffic situation or unexpected maneuvers by the vehicle ahead.

Thus, the given statement is true.

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The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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Answer:

15 cents

Step-by-step explanation:

2.25 /15 = .15

The expected daily sales for your online store are approximately $1196.28.

To calculate the expected daily sales, we need to multiply the number of customers by the probability of each customer purchasing an item and then sum up the expected sales for each type of item.

Given:

- Number of customers: 177

- Probability of a customer purchasing an item: 0.29

- Probability of buying the regular item: 0.09

- Probability of buying the deluxe item: 1 - 0.09 = 0.91

- Price of the regular item: $5.08

- Price of the deluxe item: $23.34

Let's calculate the expected daily sales:

Expected sales of regular items = Number of customers * Probability of purchasing * Probability of buying the regular item * Price of the regular item

Expected sales of deluxe items = Number of customers * Probability of purchasing * Probability of buying the deluxe item * Price of the deluxe item

Expected daily sales = Expected sales of regular items + Expected sales of deluxe items

Expected sales of regular items = 177 * 0.29 * 0.09 * $5.08 ≈ $85.74

Expected sales of deluxe items = 177 * 0.29 * 0.91 * $23.34 ≈ $1110.54

Expected daily sales = $85.74 + $1110.54 ≈ $1196.28

Therefore, the expected daily sales for your online store are approximately $1196.28.

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To approximate the solution and maximize the given objective function we need to find the steepest ascent direction and iteratively update the values of x₁ and x₂ to approach the maximum value of z.

The method of steepest ascent involves finding the direction that leads to the maximum increase in the objective function and updating the values of the decision variables accordingly. In this case, we aim to maximize the objective function z = -(x₁ - 3)² - (x₂ - 2)².

To find the steepest ascent direction, we can take the gradient of the objective function with respect to x₁ and x₂. The gradient represents the direction of the steepest increase in the objective function. In this case, the gradient is given by (∂z/∂x₁, ∂z/∂x₂) = (-2(x₁ - 3), -2(x₂ - 2)).

Starting with initial values for x₁ and x₂, we can update their values iteratively by adding a fraction of the gradient to each variable. The fraction determines the step size or learning rate and should be chosen carefully to ensure convergence to the maximum value of z.

By repeatedly updating the values of x₁ and x₂ in the direction of steepest ascent, we can approach the solution that maximizes the objective function z. The process continues until convergence is achieved or a predefined stopping criterion is met.

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The total electric force on the 7.00−μC charge is 0.872 N at an angle of 330°.

The force exerted on the 7.00−μC charge by the 2.00−μC charge is

F₁​ ​= \(k_{e}\)q₁q₂​​/r₂ r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(2.00×10^−6C) ×(cos60°i^+sin60°j^​)]/ (0.500m)²

F₁ ​= (0.252i^+0.436j^​)N

Similarly, the force on the 7.00μC charge by the −4.00−μC charge is

F₂​ ​= \(k_{e}\)q₁​q₃/​r² ​​r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(−4.00×10^−6C)​×(cos60°i^−sin60°j^​)]/(0.500m)²

F₂​ ​=(0.503i^−0.872j^​)N

Hence, the total force on the charge 7.00−μC  is

F = F₁​​+F₂​

​=(0.755i^−0.436j^​)N

We can also note the total force as:

F = (0.755N)i^−(0.436N)j^​ = 0.872N

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--This question is incomplete; the complete question is

"Three charged particles are located at the corners of an equilateral triangle, as shown in Figure. Calculate the total electric force on the 7.00−μC charge."--

Answer:

The answer is C

Step-by-step explanation:

Answer: The answer is C