What is the length of segment AC?

Answer: 227

Step-by-step explanation:

To find the 46th term of the sequence, we need to first determine the pattern of the sequence. We can see that the sequence increases by 5 between each consecutive term. Therefore, the common difference of the sequence is 5.

Using this information, we can find the \(n\)th term of the sequence using the formula:

\(\Large \boxed{an = a1 + d(n-1)}\)

where

Using the given terms, we have:

To find the 46th term, we substitute \(n = 46\) into the formula:

Therefore, the 46th term of the sequence is 227.

________________________________________________________

To find the pattern in the sequence, we can observe that each term is obtained by adding 5 to the previous term. Therefore, we can write the recursive formula for the sequence as:

\(\large a_1 = 2\)

\(\large a_n = a_{n-1} + 5\)

To find the 46th term, we can use the recursive formula to generate each term until we reach the desired term:

\(\large a_1 = 2\)

\(\large a_2 = a_1 + 5 = 2 + 5 = 7\)

\(\large a_3 = a_2 + 5 = 7 + 5 = 12\)

\(\large a_4 = a_3 + 5 = 12 + 5 = 17\)

\(\vdots\)

\(\large a_{46} = a_{45} + 5 \approx \boxed{227}\)

\(\therefore\) The 46th term of the sequence is approximately 227.

We can also write the explicit formula for the sequence as:

\(\large a_n = 5n - 3\)

To verify that this formula generates the same sequence as the recursive formula, we can substitute the value of n = 1, 2, 3, etc. and compare the results.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

$98×6/100

sales tax =$5.88

$98+$5.88

total cost =$103.88

A subset of a population selected to represent the population is a sample.

A sample is a subset of a population that is selected to represent the larger population as a whole. It is important to select a representative sample so that the results of the analysis are accurate and reliable.

A population can be defined as a group of individuals, objects, or subjects that share common observable characteristics or traits. A population is a group of things that share something in common, and it can be any size.

A sample is a smaller group of individuals, objects, or subjects that are taken from the population to perform research or statistical analysis. Samples are typically used in research to estimate what is happening in the population as a whole.

A subset is a subset of a larger group.

In other words, it is a smaller set that is part of a larger set. A subset can contain any number of elements or members, and it can be of any size.

Hence, the "a sample" is correct.

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Answer:

136 = 9x+10 (alternate interior angles for parallel lines m and n)

9x = 126

x = 14

Step-by-step explanation:

Stop by my you tube channel "Sciency Sergei". You may suggest a topic to discuss or problem to solve.

Answer:

  (B) one

Step-by-step explanation:

You want to know how many points on the interval [0, 5] the function f(x) = e^(2x) have a slope equal to the average slope.

The instantaneous rate of change of function f(x) is its derivative:

  f'(x) = 2e^(2x)

This is a continuously increasing function (as is f(x)), so in any given interval there will be only one point that has any given slope.

The Mean Value Theorem says there is at least one point in the interval with the same slope as the average slope. The nature of the derivative tells you there is exactly one point with the same slope as the average slope.

The average rate of change on [0, 5] is ...

  AROC = (e^(2·5) -e^(2·0))/(5 -0) = (e^10 -1)/5

The instantaneous rate of change will have that value where ...

  f'(x) = 2e^(2x) = (e^10 -1)/5

  2x = ln((e^10 -1)/10)

  x = ln((e^10 -1)/10)/2 ≈ 3.84868475302

For this value of x, f'(x) = AROC

Using proportions, it is found that the original price of the shoes was of $100.29.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, or operations such as multiplication and division involving the given proportion.

One example of application is for discount problems, as we can find either the discounted price or the original price.

For this problem, we have that the price will be obtained considering these following factors:

Hence the price considering the gift card is:

0.85x = 42.75

x = 42.75/0.85

x = $50.29.

Adding the $50 gift card, the original price was of $100.29.

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Complete question :

i put $100 in a savings account at v% yearly interest. How much money will i have in my account at the end of the year

Answer:

100 + v

Step-by-step explanation:

Given that:

Interest yearly = v%

Amount deposited = principal = $100

Amount earned at the end of the year:

A = P(1 + rt)

A = 100(1 + 0.01v)

A = 100 + v

Where A = final amount

Final amount at the end of the year = 100 + v

Answer:

3/5 or 0.6

Step-by-step explanation:

I used mathaway. An app where you can take a picture of an equation and it will answer it.

Answer:

Correct option is option A

It is because:

The given eqn is y=2x+8 and since the required line is parallel thus its eqn must be y=2x+K.....thus either opion A or B is correct ..To ensure we take the given point (-4,1) which satisfies option A thus it is correct ans

Among the given options, the only variable that is a discrete random variable is a) the number of patients in a hospital.

a. the number of patients in a hospital

A discrete random variable is a variable that can only take on a finite or countably infinite set of distinct values. In this case, the number of patients in a hospital can only be whole numbers (e.g., 0, 1, 2, 3, etc.), which is a countable set of values. Therefore, it is a discrete random variable.

b. the average amount of electricity consumed

The average amount of electricity consumed is not a discrete random variable but a continuous random variable. It can take on any real number value within a certain range, and it is not restricted to specific distinct values.

c. the amount of paint used in repainting a building

The amount of paint used in repainting a building can be measured in continuous quantities (e.g., liters or gallons). It is not restricted to specific distinct values, and therefore, it is not a discrete random variable.

d. the average weight of female athletes

Similar to the average amount of electricity consumed, the average weight of female athletes is not a discrete random variable but a continuous random variable. It can take on any real number value within a certain range and is not restricted to specific distinct values.

Among the given options, the only variable that is a discrete random variable is a) the number of patients in a hospital.

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Answer:

\(42 ft^{2}\)

Step-by-step explanation:

\(Area=rectangle+2triangles\)

\(=11*3+.\frac{3*2}{2} +\frac{4*3}{2}=42ft^{2}\)

The line represents a direct variation because the y-coordinate (3) is the same for both points (-4, 3) and (4, 3).

In a direct variation, when one variable increases or decreases, the other variable also increases or decreases in a consistent ratio. In this case, since the y-coordinate remains the same for both points, it indicates that there is a direct variation between the x-coordinate and the y-coordinate of the points on the line.

To determine if a line represents a direct variation, we need to check if the ratio of the y-coordinates to the x-coordinates is constant for all points on the line.

In this case, the y-coordinates of both points are 3, and the x-coordinates are -4 and 4.

Let's calculate the ratio of the y-coordinates to the x-coordinates for each point:

For the first point (-4, 3):
Ratio = 3 / -4 = -3/4

For the second point (4, 3):
Ratio = 3 / 4 = 3/4

Since the ratio of the y-coordinates to the x-coordinates is the same for both points (-3/4 and 3/4), we can conclude that the line represents a direct variation.

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Answer:5,000 Staples/Box

Answer:

12

Step-by-step explanation:

Answer:

a)

\(r= \sqrt{ \frac{a}{\pi} } \)

b)

\(r≈15.2 \: m\)

Step-by-step explanation:

a)

\(a = \pi \times {r}^{2} \)

\( {r}^{2} = \frac{a}{\pi} \)

\(r > 0\)

\(r = \sqrt{ \frac{a}{\pi} } \)

b) Given:

A = 725,83 m^2

Find: r - ?

\(r = \sqrt{ \frac{a}{\pi} } = \sqrt{ \frac{725.83}{\pi} } ≈15.2\)

The force F = r^2k(r^) is not conservative because its curl is nonzero. The force is central because it depends only on r and acts along the radial direction. Since it is not conservative, there is no potential energy function V(r) associated with this force

To determine whether the force F = r^2k(r^) is conservative and central, let's analyze its properties.

A force is conservative if it satisfies the condition ∇ × F = 0, where ∇ is the gradient operator. In Cartesian coordinates, the force can be written as F = Fx i + Fy j + Fz k, where Fx, Fy, and Fz are the components of the force in the x, y, and z directions, respectively. The curl of F is given by:

∇ × F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.

Calculating the components of F = r^2k(r^):

Fx = 0, since there is no force component in the x-direction.

Fy = 0, since there is no force component in the y-direction.

Fz = r^2kr^.

Taking the partial derivatives, we have:

∂Fz/∂x = ∂/∂x (r^2kr^) = 2rkr^2(∂r/∂x) = 2rkr^2(x/r) = 2xkr^3.

∂Fz/∂y = ∂/∂y (r^2kr^) = 2rkr^2(∂r/∂y) = 2rkr^2(y/r) = 2ykr^3.

Substituting these values into the curl equation, we get:

∇ × F = (2ykr^3 - 2xkr^3)k = 2k(r^3y - r^3x).

Since the curl of F is not zero, ∇ × F ≠ 0, we conclude that the force F = r^2k(r^) is not conservative.

Now let's determine if the force is central. A force is central if it depends only on the distance from the origin (r) and acts along the radial direction (r^).

For F = r^2k(r^), the force is indeed central because it depends solely on r (the magnitude of the position vector) and acts along the radial direction r^. Hence, it can be written as F = Fr(r^), where Fr is a function of r.

Since the force is not conservative, it does not possess a potential energy function. In conservative forces, the potential energy function V(r) can be defined, and the force can be expressed as the negative gradient of the potential energy, i.e., F = -∇V. However, since F is not conservative, there is no potential energy function associated with it.

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The answer is unknown number of inches for the long sides is 14.

Let's solve this problem step by step. We know that the short sides of the rectangle are 2 inches. Let's denote the unknown number of inches for the long sides as 'x'. According to the problem, the long sides are three less than this unknown number, so the length of the long sides can be expressed as 'x - 3'.

The area of a rectangle is given by the formula A = length × width. In this case, the area is given as 22 square inches, and the width (short side) is 2 inches. We can now set up the equation:

22 = 2 × (x - 3)

Simplifying the equation, we have:

22 = 2x - 6

Adding 6 to both sides, we get:

28 = 2x

Dividing both sides by 2, we find:

x = 14

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The appropriate x-axis and y-axis unit scales for the coordinates (6, 40) are 1 unit for the x-axis and 5 units for the y-axis, Hence, (1,5)

The x-axis represents the horizontal distance from the origin, and the y-axis represents the vertical distance from the origin. The coordinates (6, 40) means that the point is 6 units to the right of the origin and 40 units above the origin.

If we use a unit scale of 1 for the x-axis, then the point will be represented by a dot that is 6 units to the right of the origin. If we use a unit scale of 5 for the y-axis, then the point will be represented by a dot that is 40 units above the origin.

Hence, the most appropriate units scale is (1,5)

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A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

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Answer:

The 99% confidence interval will be wider than the 95% confidence interval because it encompasses a greater range of possible values, meaning that there is a lower chance of the true population parameter falling outside the interval. The 95% confidence interval means that if the study was repeated many times, 95% of the intervals constructed would contain the true population parameter, whereas the 99% confidence interval means that 99% of the intervals constructed would contain the true population parameter.

Step-by-step explanation:

Answer:

is there a graph so I can show you?

Answer:

Do you have a graph

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

I think its the one w -1= -1

Step-by-step explanation:

becuase 2 minus 1 is -1 nd -1 minus 0 is -1 i could be wrong

Answer:

The answer is 25

Step-by-step explanation:

Answer: 25 Is the correct answer.

Answer:

2(13x+6)

(3x-2)(x+5)

3(y-1)(2y+3)

Step-by-step explanation:

hoffe das hilft

When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

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Distance between hive and flower bed is 2250 feet.

Distance=Speed *time

What is a hive?

A freak flies at 20 bases per alternate directly to a flower bed from its hive

so, forward speed is

canvases directly back to the hive at 12 bases per alternate

so, backward speed is

It's down from the hive for 20 twinkles total

so,

total time = forward time backward time stay time

The freak stays at the flower bed for 15 twinkles,

20 =  tb 15

Now, we can change it into seconds  we know that

distance between hive and flower bed will remain  Let's assume

forward time = x

So,

We know that

Distance = speed * time

Now, we can plug value now, we can plug values

Both distances are same

Now, we can break above equations and find x

Add both sides 12x

Now, we can find distance

So, distance between hive and flower bed is 2250feet.

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The roots of the function  \(f (x) = (x + 5)^3(x - 9)^2(x + 1)\) are -5 with a multiplicity of 3, 9 with a multiplicity of 2, and -1 with a multiplicity of 1.

Quadratic, cubic, quartic, and other functions involving only non-negative integer powers of x are examples of polynomial functions. This function is given by \(f(x) = a_nx^n+a_{n-1}x^{n-1}+...........+a_2x^2+a_1x+a_0\).

The given function is  \(f (x) = (x + 5)^3(x - 9)^2(x + 1)\). The roots of the given function are the values of x that makes f(x) = 0.

Therefore, to find the root solve each of the terms to zero. Because if any one of the terms is equal to zero, the entire function is zero.

So, solving the first term,

\(\begin{aligned}(x+5)^3&=0\\x+5&=0\\x&=-5\end{aligned}\)

The multiplicity of a root is measured by the power of the term. Here, the power is 3. So,  x = -5 with the multiplicity of 3.

Solving the second term,

\(\begin{aligned}(x-9)^2&=0\\x-9&=0\\x&=9\end{aligned}\)

Here, the power is 2. So, x = 9 with the multiplicity of 2.

Solving the third term,

\(\begin{aligned}x+1&=0\\x&=-1\end{aligned}\)

Here, the power is 1. So, x = -1 with the multiplicity of 1.

Therefore, the roots of the function  \(f (x) = (x + 5)^3(x - 9)^2(x + 1)\) are

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