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(using this as an excuse to give out brainliest :P)

Answer:

the answer is

C. = x=22.82

(a) The upper bound for the error IS - S can be given by the absolute value of the (n+1)th term of the series.

(b) The least n that ensures Sn is within the desired error bound can be found by solving the inequality |an+1| < ε, where ε is the desired error bound.

(a) The error bound for an alternating series is given by the absolute value of the (n+1)th term of the series. This means that the absolute difference between the sum IS and the nth partial sum Sn is less than or equal to the absolute value of the (n+1)th term in the series. Therefore, the upper bound for the error can be given as |an+1|.

(b) To find the least n that ensures Sn is within the desired error bound, we need to solve the inequality |an+1| < ε, where ε is the desired error bound. Rearranging the inequality, we have an+1 < ε. By finding the smallest value of n that satisfies this inequality, we can ensure that the error in Sn is within the desired bound.

In summary, for an alternating series, the upper bound for the error between the sum IS and the nth partial sum Sn is given by |an+1|. To find the least n that ensures Sn is within a specific error bound ε, we solve the inequality |an+1| < ε.

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Answer:

Each game would be 44.84 per order, so 2 games would be 89.68 and so forth.

Step-by-step explanation:

Take 39.99 and add 4.85 and that gives you the total for 1 game per order.

Answer:

The answer is -77 you just multiplying then subtracting

The option that is not a factor of capacity planning is the option d

d) Proximity to suppliers

The process of ascertaining the production capacity an organization needs in order to meet changing demand for the products and services of the organization is known as capacity planning.

The factors considered in capacity planning are factors which include the capacity measurement approach, the economies of scale, preparedness to deal with the capacity in chunks, and activities towards identifying the best operating level.

Therefore, from the listed options, the option that is not a factor in capacity planning is the option (d) proximity to suppliers

Other aspects of the operations of an organization, such as supply chain management and logistics can be affected by the proximity of suppliers, but the proximity of suppliers is not directly linked to the determination process for the production capacity needed to meet the market demand.

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The value of a is given by the third root of the function.

The function for this problem is defined as follows:

f(x) = x(x - 2)(x - a).

According to the Factor Theorem, the function is defined as a product of it's linear factors, hence the roots of the function are given as follows:

Hence the value of a is the third root of the function, which is the value on the graph at which the function crosses the x-axis along with x = 0 and x = 2.

The problem is incomplete, hence the general procedure to obtain the value of a is presented.

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Answer:

7.9km

Step-by-step explanation:

(a)See attached for the diagram representing this situation.

(b)

In Triangle ABC

\(\text{Using Law of Sines}\\\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \\\dfrac{\sin A}{5.2}=\dfrac{\sin 58^\circ}{6.8} \\\sin A=5.2 \times \dfrac{\sin 58^\circ}{6.8}\\A=\arcsin (5.2 \times \dfrac{\sin 58^\circ}{6.8})\\A=40.43^\circ\)

Next, we determine the value of Angle B.

\(\angle A+\angle B+\angle C=180^\circ\\40.43+58+\angle B=180^\circ\\\angle B=180^\circ-(40.43+58)\\\angle B=81.57^\circ\)

Finally, we find b.

\(\text{Using Law of SInes}\\\dfrac{b}{\sin B}=\dfrac{c}{\sin C} \\\dfrac{b}{\sin 81.57^\circ}=\dfrac{6.8}{\sin 58^\circ} \\b=\dfrac{6.8}{\sin 58^\circ} \times \sin 81.57^\circ\\b=7.9km $ (to the nearest tenth of a kilometer)\)

The distance between the small plane and the observation tower is 7.9km.

Answer:

68

Step-by-step explanation:

In this case, angle P and angle M are equal to each other. So we can set up the equation like this:

4x+36=6x-2

Then we can start to simplify and match up like terms:

2+36=6x-4x

Then add or subtract the like terms:

38=2x

Then, divide both sides by 2:

x=19

So we can insert 19 for x for both expressions:

Angle P: 112

Angle M: 112

So since every quadrilateral adds up to 360, we can subtract 2(112) from 360:

360-2(112)

360-224

=136

Since angle Q and N should be equal, we can divide 136 by 2 to get the measure for angle N and angle Q:

136/2=68

So the measure of angle N is 68

A.  These equations will give us the optimal values of x and y.

B. (b) To determine which exam you would be better prepared for, we compare the Math_grade and Physics_grade using the optimal values obtained in part (a).

C. We can follow the same steps as in part (a) to set up the equations and find the optimal number of hours spent studying for the two exams.

D. the specific impact would depend on the magnitude of the increase and how it interacts with the other variables and constraints in the problem.

(a) Let's define the variables:

Let x represent the number of hours spent studying math.

Let y represent the number of hours spent studying physics.

We want to maximize the average grade, which is proportional to the product of the hours spent studying and the ability to absorb the material.

The math grade is proportional to x * (1 - 0.04x) * (1 - 0.02y)

The physics grade is proportional to y * (1 - 0.03y) * (1 - 0.05x)

We want to maximize the average grade:

Average grade = (math grade + physics grade) / 2

Now, let's set up the optimization problem:

Maximize: (x * (1 - 0.04x) * (1 - 0.02y) + y * (1 - 0.03y) * (1 - 0.05x)) / 2

Subject to:

0 ≤ x ≤ 24 (maximum hours per day)

0 ≤ y ≤ 24 (maximum hours per day)

To solve this optimization problem, we can use calculus or numerical optimization methods.

(b) To determine which exam you would be better prepared for, calculate the average grade for the optimal number of hours obtained in part (a). Compare the average grade of math and physics to determine which one is higher.

(c) Now, assuming the exam scores improve by an additional 10% for every hour not studying, we need to modify the objective function in the optimization problem. Let's redefine the variables:

Let x represent the number of hours spent studying math.

Let y represent the number of hours spent studying physics.

Let z represent the number of hours not spent studying (24 - x - y).

The math grade is proportional to x * (1 - 0.04x) * (1 - 0.02y)

The physics grade is proportional to y * (1 - 0.03y) * (1 - 0.05x)

The additional benefit is 10% * z.

The new objective function to maximize the average grade is:

(x * (1 - 0.04x) * (1 - 0.02y) + y * (1 - 0.03y) * (1 - 0.05x) + 0.1 * z) / 2

Subject to:

0 ≤ x ≤ 24 (maximum hours per day)

0 ≤ y ≤ 24 (maximum hours per day)

z = 24 - x - y

(d) To examine the sensitivity of the answer to the additional 10% benefit from not studying, you can perform sensitivity analysis by changing the percentage value and observing the effect on the average grade. Increasing the effect of this benefit would likely result in a higher average grade as more emphasis is placed on the additional benefit gained from not studying. However, the exact impact would depend on the specific values used and the relationships between the variables and grades.

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Solving a linear equation we conclude that the helicopter will take 4 minutes to reach the ground.

We know that the equation that models the height of the helicopter is:

y = -300*x + 1200

Where y is the height and x is the time in minutes.

The helicopter will reach the ground when y = 0, then we need to solve:

0 = -300*x + 1200

Now we can solve this linear equation for x, it will give:

300*x = 1200

x = 1200/300 = 4

x = 4

Then, we conclude that the helicopter will take 4 minutes to reach the ground.

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Answer:

facundo3141592Ace12.2K answers78.3M people helpedSolving a linear equation we conclude that the helicopter will take 4 minutes to reach the ground.How long does it take to reach the ground?We know that the equation that models the height of the helicopter is:y = -300*x + 1200Where y is the height and x is the time in minutes.The helicopter will reach the ground when y = 0, then we need to solve:0 = -300*x + 1200Now we can solve this linear equation for x, it will give:300*x = 1200x = 1200/300 = 4x = 4Then, we conclude that the helicopter will take 4 minutes to reach the ground.If you want to learn more about linear equations

Step-by-step explanation:

The distance traveled over 9 hours at a speed of 840 km/h is 7,560 km.

Speed can be thought of as the rate at which an object covers distance.

A fast-moving object has a high speed and covers a relatively large distance in a given amount of time, while a slow

moving object covers a relatively small amount of distance in the same amount of time.

To calculate the distance traveled over 9 hours at a speed of 840 km/h, follow these steps:

1. Identify the time and speed given in the student question: 9 hours and 840 km/h.

2. Use the formula for distance:

distance = speed × time.

3. Plug in the values:

distance = 840 km/h × 9 hours.

4. Calculate the distance:

distance = 7,560 km.

So, the distance traveled over 9 hours at a speed of 840 km/h is 7,560 km.

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Answer:

1, 2 and 3  (I, II and III)

Step-by-step explanation:

Since the slope is positive (3) in the equation y = 3x + 1, it means that the graph has a positive slope, meaning the line slopes up from left to right.

The y intercept is 1

the x intercept is:  

0 = 3x + 1

x = 1/3

Therefore, the graph of y = 3x + 1 lies in quadrants I, II and III.  Graph the equation to prove this.  

The measure of angle DAB in the given quadrilateral can be calculated as: 109°.

To find the measure of an angle in a quadrilateral, you need to use the fact that the sum of all angles in a quadrilateral is always equal to 360 degrees.

Using the above fact stated, we can add up the three known angles in the given quadrilateral and then subtract it from 360 degrees to find the measure of angle DAB.

Thus, we have:

m<DAB = 360 - (90 + 97 + 64)

m<DAB = 360 - 251

m<DAB = 109°

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Using it's concept, it is fond that the estimate for the ratio of red to blue beads is of 91:79.

The ratio between two amounts a and b is given by a divided by b, that is:

\(\frac{a}{b} = a:b\)

In this problem, considering Charlotte's and Harry's beads, there are 81 + 10 = 91 red beads and 9 + 70 = 79 blue beads, hence the ratio is given by:

91:79.

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Answer:

11:55 is closest time time to mid night

Option D is correct, 12:03AM is the closet time to midnight.

Midnight is typically defined as the beginning of a new day, precisely at 12:00 AM.

In a 12-hour clock format, AM (ante meridiem) is used to represent the time before noon (from midnight to 11:59 AM), while PM (post meridiem) is used to represent the time after noon (from 12:00 PM to 11:59 PM).

12.06am is 6 minutes past midnight.

11.50am is 10 minutes from midday, or, if you prefer, 11 hours and 55 minutes past midnight.

12.03am is 3 minutes past midnight.

Hence,  the closet time to midnight is 12:03 AM.

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Answer:

946589196.155

Step-by-step explanation:

Hope that helps

Answer:

19/8

Step-by-step explanation:

Can use formula y2-y1/x2-x1 :

-10-9/-9--1

-19/-8

\(\\ \rm\Rrightarrow -42z^2=14z\)

\(\\ \rm\Rrightarrow 42z^2=-14z\)

\(\\ \rm\Rrightarrow 3z^2=-z\)

\(\\ \rm\Rrightarrow 3z=-1\)

\(\\ \rm\Rrightarrow z=-1/3\)

Answer:

\( - \frac{844}{29} z\)

Step-by-step explanation:

I hope to help

im doing this problem right now---

ok so a1=256 a2=64 a3=15 a4=4... find a9

the sequence divides by 1/4 every term

an=a1*r^n-1

an=(256)*(1/4)^n-1

replace n with 9

A9=(256)*(1/4)^9-1

A9=(256)*(1/4)^8

=(256)*(1/4)

A9=64^8

1/256 or a9= 0.00390625

Each statement about integer is:

Statement A: If positive is subtracted from a negative integer, the difference is negative integer.

This statement is sometimes true.

If a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer. For example, if -5 is subtracted from -3, the difference is -8, which is a negative integer. However, if -3 is subtracted from -5, the difference is 2, which is a positive integer. The difference sign depends on which value is the bigger one.

Statement B: If a positive integer is subtracted from a positive integer, the difference is a positive integer.

This statement is sometimes true.

If a positive integer is subtracted from a positive integer, the difference can be a positive integer or a negative integer. For example, if 3 is subtracted from 5, the difference is 2, which is a positive integer. However, if 5 is subtracted from 3, the difference is -2, which is a negative integer.

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Answer:

2

Step-by-step explanation:

if f(4), than -4^2=-16

5(4)=20

-16+20-2=2

Answer:

(−∞, 5) ∪ (5, ∞)

Step-by-step explanation:

I really hope it helps!

Good Luck!

Answer:

Last option

Step-by-step explanation:

After t weeks, Clara's hair will be 7 + 0.25t cm long. "No longer than" means that we use the symbol ≤ and "more than" means that we use the symbol >, hence, the answer is 11 < 7 + 0.25t ≤ 15.

Answer:

D

Step-by-step explanation:

Just did it

Answer:

5.038×\(10^{8}\)

Step-by-step explanation:

Answer:

5.038000000x10^8

Step-by-step explanation:

I have a app on my phone that tells you the answer. I think you could write in as (5.038x10^14

To find the required sample size for a margin of error less than 3%, we can rearrange the formula for the margin of error:

\(n = (Z^2 * p * (1 - p)) / (E^2)\)

Here, Z represents the critical value, p is the estimated proportion (0.51), and E is the desired margin of error (0.03)

To determine the margin of error for the 95% confidence interval, we need to use the formula:

Margin of Error = Critical value * Standard error

The critical value for a 95% confidence level can be obtained from the standard normal distribution table, which corresponds to 1.96. The standard error can be calculated using the following formula:

Standard error = \(\sqrt{(p * (1 - p) / n)}\)

Given that the proportion of North Carolina residents planning to set off fireworks is estimated to be 51% (0.51) based on the survey, we can substitute the values into the formula. However, the sample size (n) is not provided in the question, so we need to determine it in the next part.

To find the required sample size for a margin of error less than 3%, we can rearrange the formula for the margin of error:

\(n = (Z^2 * p * (1 - p)) / (E^2)\)

Here, Z represents the critical value, p is the estimated proportion (0.51), and E is the desired margin of error (0.03). Substituting these values into the formula, we can solve for the required sample size.

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In total, 6 students have touched locker #12 and after all seniors have walked down the corridor, the locker # 12 is closed.

To determine how many students touched locker #12 and its final position, we will consider the factors of 12 and the actions of the corresponding seniors.

Locker #12 will be touched by students whose positions are factors of 12. The factors of 12 are 1, 2, 3, 4, 6, and 12.

1. Senior #1 opens all lockers, so locker #12 is opened.

2. Senior #2 changes the position of every 2nd locker, so locker #12 is closed.

3. Senior #3 changes the position of every 3rd locker, so locker #12 is opened.

4. Senior #4 changes the position of every 4th locker, so locker #12 is closed.

5. Senior #6 changes the position of every 6th locker, so locker #12 is opened.

6. Senior #12 changes the position of every 12th locker, so locker #12 is closed.

After all 100 seniors have walked down the corridor, locker #12 is closed. In total, 6 students touched locker #12.

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the probability that an individual is really allergic to cats given a positive test result is approximately 0.0985 or 9.85%.

To determine the probability that an individual is really allergic to cats given a positive test result, we can use Bayes' theorem.

Let's define the following probabilities:

P(A) = Probability of being allergic to cats = 0.01 (1% of the population)

P(T) = Probability of a positive test result

P(T|A) = Probability of a positive test result given that the individual is allergic to cats (true positive rate) = 0.80

P(T|not A) = Probability of a positive test result given that the individual is not allergic to cats (false positive rate) = 0.10

We want to find P(A|T), the probability of being allergic to cats given a positive test result.

According to Bayes' theorem:

P(A|T) = (P(T|A) * P(A)) / P(T)

To calculate P(T), we need to consider both the true positive cases (allergic individuals who test positive) and the false positive cases (non-allergic individuals who test positive):

P(T) = P(T|A) * P(A) + P(T|not A) * P(not A)

P(not A) represents the probability of not being allergic to cats, which is equal to 1 - P(A).

Let's substitute the given values into the formula:

P(T) = (0.80 * 0.01) + (0.10 * (1 - 0.01)) = 0.0809

Now we can calculate P(A|T):

P(A|T) = (0.80 * 0.01) / 0.0809 ≈ 0.0985

Therefore, the probability that an individual is really allergic to cats given a positive test result is approximately 0.0985 or 9.85%.

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Answer:

3.81

Step-by-step explanation:

-      +     -

-      +     -

-      +      -

If you were to go all ways on this chart↑ the rules would always be the same.

A negative plus a negative is a negative.

A negative plus a positive is a negative.

A positive plus a postitive is a positive.