helpppp ASAP PLEASEEE

Helpppp ASAP PLEASEEE

Answers

Answer 1
just graph them online and see which quadrant
Answer 2

Answer:

x-axis/ (3,0)/ y-axis (0,16)/ Q1 (36.7, 3.9)/ Q2 (-1,2)/ Q3 (-5/3, -5 1/3)/ Q4 (2,-12)

Step-by-step explanation:


Related Questions

Students are building rectangular wooden frames for the set

Answers

If the width of the frame is Sw$ and the height is six times the width, then the height of the frame is $6wS.
The length of the braces are then the hypotenuses

The price of an item yesterday was $80. Today, the price rose to $216. Find the percentage increase.

Answers

Answer:

170%

Step-by-step explanation:

increase in price = 216 - 80 = $136

x : 100 = 136 : 80

x = 100 * 136 / 80

x = 10 * 136/8

x = 1360 / 8

x = 170 %

Answer:

170%

Step-by-step explanation:

80+170%=$216

the graph of y = f (x) is transformed into y = - f (1/3 (x 9)) 8. a. describe the transformations in the correct order.

Answers

The transformations are applied in the following order: horizontal translation, horizontal scaling, vertical reflection, and vertical scaling.

The transformations are applied in the following order:

Horizontal translation: The function is shifted 9 units to the right by subtracting 9 from the input variable x.

f(x) → f(x - 9)

Horizontal scaling: The function is compressed horizontally by a factor of 1/3 by dividing the input variable x by 3.

f(x - 9) → f(1/3(x - 9))

Vertical reflection: The function is reflected about the x-axis by multiplying the output values of f by -1.

f(1/3(x - 9)) → -f(1/3(x - 9))

Vertical scaling: The function is stretched vertically by a factor of 8 by multiplying the output values by 8.

-f(1/3(x - 9)) → -8f(1/3(x - 9))

Therefore, the transformations are applied in the following order: horizontal translation, horizontal scaling, vertical reflection, and vertical scaling.

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There are 4 red balls, 6 white balls, and 3 green balls in a bag. If one ball is drawn from the bag at random, what is the probability that it is not white?

A 5
---
6

B. 6
----
13


C 1
----
7

D 7
---
13​

Answers

Answer: D 7/13

Step-by-step explanation:

4+3=7

7+6=13

P(not white)=7/13

Answer:

See image

Step-by-step explanation:

Plato

There are 4 red balls, 6 white balls, and 3 green balls in a bag. If one ball is drawn from the bag at

Let $z$ and $w$ be complex numbers satisfying $|z| = 5, |w| = 2,$ and $z\overline{w} = 6+8i.$ Then enter in the numbers \[|z+w|^2, |zw|^2, |z-w|^2, \left| \dfrac{z}{w} \right|^2 \]below, in the order listed above. If any of these cannot be uniquely determined from the information given, enter in a question mark. Don't even know where to start.

I got 49 for the first one, 100 for the second one, 9 for the 3rd one, and 6.25 for the 4th one. But it was wrong, so I don't know how to do this question.

Answers

Answer:

1st entry: 41

3rd entry: 17

Step-by-step explanation:

The 1st and 3rd entry are incorrect.

We will use the following for the 1st and 3rd:

\(|z+w|=|z|^2+|w|^2+2R(z\overline{w})\)

\(|z-w|=|z|^2+|w|^2-2R(z\overline{w})\)

where \(R(z\overline{w})\) means 'real part of \(z\overline{w}\)'.

Let's do part 1 now)

25+4+2(6)

29+12

41

Let's do part 3 now)

25+4-2(6)

29-12

17

write mathematical equations that show how you will calculate the detected activity from the count rate due to background radiation and the sample of kcl. also write an equation that shows how you will determine the true activity of your sample

Answers

The values for R(detected), λ, and t into the equation, you can calculate the "true" count rate of your sample

To calculate the detected activity from the count rate due to background radiation and the sample of KCl, you can use the following equation:

R(detected) = R(total) - R(background)

In this equation, R(background) represents the count rate for background radiation, and R(total) represents the total count rate detected from your sample and background. By subtracting the count rate of background radiation from the total count rate, you can determine the detected count rate from your sample, R(detected).

To determine the "true" activity of your sample, you can use the following equation:

R(true) = R(detected) / (1 - exp(-λt))

In this equation, R(true) represents the "true" count rate of your sample, R(detected) represents the detected count rate from your sample, λ represents the decay constant of the radioactive isotope in your sample, and t represents the time during which the count rate is measured.

By plugging in the values for R(detected), λ, and t into the equation, you can calculate the "true" count rate of your sample, which represents the actual activity of the radioactive isotope in the sample.

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Complete question:

write a mathematical equations that show how you will calculate the detected activity from the count rate due to background radiation and the sample of KCl. also, write an equation that shows how you will determine the "true" activity of your sample. Use the following terms:

R(background) = count rate for background radiation

R(total) = total count rate detected from your sample and background

R(detected) = detected count rate from your sample less the background radiation

R(true) = the "true" count rate of your sample.

Can somone help me with this will mark u brainliest

Can somone help me with this will mark u brainliest

Answers

Answer:

\( = 3 + \sqrt{25 } - \sqrt{12} \\ = 3 + 5 - \sqrt{12 \\ } \\ = 8 - \sqrt{12} \)

\( = 8 - 2 \sqrt{3} \)

option d is correct

Substitute
3 + square root 25 - square root 12
3+5- square root 12
Square root of 12 = 2√3
8 - 2√3

You find a geode that weighs 651.38 grams. Your geode weighs 129.74 grams lighter than your friend’s geode. How much does your friend’s geode weigh?

Answers

Your friends geode will weights 781.12 grams, founded by the property of addition.

What is addition?

Addition is the basic arithmetic operation perform to combine two or more value to produce a bigger or greater value. the other basic operations are subtraction, multiplication and division

We are given that our geode weighs 651.38 grams and our geode weighs 129.74 lighter than out friends

it means his geode is heavier 129.74 grams than ours.

And we are asked to find the weight of our friends geode

Let the weight of our friends geode be x

hence the equation can be given as

x= 651.38+129.74

x=781.12 grams

Our friends geode weighs 781.12 grams

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In two sample surveys, 125 people were asked about
their favorite fruit. In the first survey, 40 people chose
apples, 64 chose oranges, and 21 chose bananas. In the
second, 43 chose apples, 63 chose oranges, and 19
chose bananas. Marianne inferred that most people
prefer oranges. Is this inference true based on the data?

Answers

Answer: Yes this is true.

Step-by-step explanation:

In the first survey 64 people chose oranges and in the second survey 63 people chose oranges. This means in the first survey 51.2% of people preferred oranges and 48.8% preferred other fruits, and in the second survey 50.4% of people preferred oranges while 49.6% preferred other fruits. In both surveys more than 50% of people preferred oranges. So yes, based on the data from both surveys you can infer that most people prefer oranges.  

To determine if Marianne's inference is true based on the given data, we need to compare the number of people who chose oranges in each survey to the total number of people surveyed.

In the first survey, 64 people chose oranges out of a total of 125 people surveyed:
64/125 = 0.512 or 51.2%

In the second survey, 63 people chose oranges out of a total of 125 people surveyed:
63/125 = 0.504 or 50.4%

Based on these calculations, we can see that the proportion of people who chose oranges in each survey is fairly similar. Therefore, we cannot infer that most people prefer oranges based on this data alone.

It's also worth noting that this conclusion assumes that the two surveys are representative of the same population and that the samples were chosen randomly. Without additional information on the sampling methods and the populations being surveyed, it's difficult to draw strong conclusions from these data alone.

. your customer is looking for new flooring for their kitchen. the room is 14’ x 24’. 4 boxes of flooring will cover 100 sq. ft. how many boxes will be needed to cover the kitchen floor?

Answers

The total number of boxes required to cover the kitchen floor is 14.

The dimensions of the kitchen floor are 14' × 24'

Length of the kitchen floor = 14 feet

Width of the kitchen floor= 24 feet

The area of the kitchen floor= Length × Width

⇒ Area = 14 × 24

⇒ Area = 336 sq. ft.

Since, 4 boxes of flooring cover 100 sq. ft.

1 box will cover = 100/4 sq. ft.

⇒25 sq. ft.

Now, Number of boxes required to cover the floor of the kitchen will be,

⇒ Area of the floor / Area covered by 1 box of flooring

⇒336/25

13.44

∴ The total number of boxes required to cover the kitchen floor is 14 (rounded up from 13.44).

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the standard deviation of a point estimator is called the question 8 options: standard deviation. standard error. point estimator. variance of estimation.

Answers

The standard deviation of a point estimator is called the "standard error

What is standard deviation ?

Standard deviation is a statistical measure that describes the amount of variation or dispersion in a set of data. It is the square root of the variance, which is the average of the squared differences from the mean. A high standard deviation indicates that the data points are spread out over a wider range, while a low standard deviation indicates that the data points are clustered closer together. Standard deviation is commonly used in fields such as finance, engineering, and science to describe the variability of data and to make statistical inferences about a population based on a sample.

To calculate the standard deviation of a set of data, you can follow these steps:

Find the mean (average) of the data set.

For each data point, subtract the mean and square the result.

Sum the squared differences from step 2.

Divide the sum from step 3 by the number of data points minus one (this is called the sample variance).

Take the square root of the sample variance to get the standard deviation.

Here's an example using a set of data: 4, 6, 8, 10, 12

Find the mean: (4 + 6 + 8 + 10 + 12) / 5 = 8

For each data point, subtract the mean and square the result:

(4 - 8)² = 16

(6 - 8)²= 4

(8 - 8)² = 0

(10 - 8)² = 4

(12 - 8)² = 16

Sum the squared differences: 16 + 4 + 0 + 4 + 16 = 40

Divide by the number of data points minus one: 40 / 4 = 10 (sample variance)

Take the square root of the sample variance: sqrt(10) = approximately 3.16

Therefore, the standard deviation of the data set is approximately 3.16.

and The standard deviation of a point estimator is called the "standard error

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A triangle has sides with lengths of 45 miles, 60 miles, and 75 miles. Is it a right triangle?

Answers

Answer:

it is a right triangle

Step-by-step explanation:

Question 3 of 10
Polygons AUHS, A'U' H'S', and A"U" H"S" are shown on the coordinate grid.
Y
-8
-6
A'
S" H" U'
-4
-2
S'
H'
U
4
S
6
2
A"
Which sequence of transformations map AUHS to A"U"H"S"?
A translation of (x,y) → (x-4, y-2) then rot:

Answers

The sequence of transformations you suggested does indeed map AUHS to A"U" H"S".

Transformation geometry is a branch of mathematics that deals with the study of geometric shapes and their transformations in space.

Apply the transformations to each vertex of polygon AUHS and see if the resulting vertices match the corresponding vertices of polygon A"U"H"S in order to evaluate whether the series of transformations you provided translates AUHS to A"U"H"S.

Let's begin by translating (x,y) (x-4, y-2). Each point is moved 2 units down and 4 units to the left by this transformation. Vertex A(-6,-6) would be changed to A"(-10,-8) in the following manner, for instance:

A'(-6,6) → A"(-10,4)

U'(-2,2) → U"(-6,0)

H'(4,2) → H"(0,0)

S'(-2,-6) → S"(-6,-8)

Let's now think about the rotation of the origin 90 degrees anticlockwise. Each point is rotated 90 degrees anticlockwise relative to the origin using this transformation. Vertex A"(-10,-8) would be rotated to A"(8,-10) in the following manner, for instance:

A"(-10,-8) → A'(8,-10)

U"(-6,0) → U'(0,-6)

H"(0,0) → H'(0,0)

S"(-6,-8) → S'(-8,6)

Therefore, the sequence of transformations you suggested does indeed map AUHS to A"U"H" S".

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(i) Details Determine the exact value of sec(sin^−1( 7/11). Note: Be sure to enter EXACT values You do NOT need to simplify any radicals

Answers

The exact value of sec(sin^(-1)(7/11)) is 1/(±√(72/121)), where the ± sign indicates that both the positive and negative square root are valid.

To determine the exact value of sec(sin^(-1)(7/11)), we can use the Pythagorean identity to find the corresponding cosine value.

Let's assume sin^(-1)(7/11) = θ. This means that sin(θ) = 7/11.

Using the Pythagorean identity, cos^2(θ) = 1 - sin^2(θ), we can calculate cos(θ):

cos^2(θ) = 1 - (7/11)^2

cos^2(θ) = 1 - 49/121

cos^2(θ) = 121/121 - 49/121

cos^2(θ) = 72/121

Taking the square root of both sides:

cos(θ) = ±√(72/121)

Since sec(θ) is the reciprocal of cos(θ), we can find sec(sin^(-1)(7/11)):

sec(sin^(-1)(7/11)) = 1/cos(θ)

sec(sin^(-1)(7/11)) = 1/(±√(72/121))

Therefore, the exact value of sec(sin^(-1)(7/11)) is 1/(±√(72/121)), where the ± sign indicates that both the positive and negative square root are valid.

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What is the volume of the cylinder below? Use 3.14 for pi and I round to the nearest tenth

What is the volume of the cylinder below? Use 3.14 for pi and I round to the nearest tenth

Answers

Answer:

Option (4).

Step-by-step explanation:

Formula to calculate the volume of a cylinder is,

V = πr²h

Here r = radius of the cylinder

h = Height of the cylinder

From the figure attached,

r = \(\frac{13}{2}=6.5\) cm

h = 11 cm

Now we substitute the values of h and r in the formula,

V = π(6.5)²(11)

   = 464.75π

   = 1459.32

   ≈ 1459.3 cm³

Therefore, volume of the given cylinder is 1459.3 cm³

Option (4) will be the answer.

The population of Algebra City is approximately 314,159 people, but the rate decreases at 2.7% each year. About how many people will live in Algebra City in 9 years?

Answers

Answer:

245,564people

Step-by-step explanation:

The population of Algebra City is approximately 314,159 people, but the rate decreases at 2.7% each year. About how many people will live in Algebra City in 9 years?

We solve for the above question using the formula for Exponential decrease. =

P(t).= Po(1 - r)^t

Where

P(t) = ?

Po = Initial population = 314159

r = 2.7% = 0.027

t = time = 9 years

P(t) = 314159(1 - 0.027)⁹

= 245564.2088

Approximately to the nearest whole number = 245,564people

50 cents per minute to dollars per hour

Answers

50*60=3000 cents per hour
3000/100= $30 per hour

Unit conversion is a way of converting some common units into another without changing their real value. 50 cents per minute to dollars per hour is 3 dollars per hour.

What is Unit conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The 50 cents per minute can be converted to dollars per hour as,

50 cents per minute

= 50 cents / 1 minute

Since 1 dollar has 100 cents and 1 hour has 60 minutes, therefore,

= (50/100)dollar / (1/60) hour

= (50×60)/100 dollars per hour

= 3,000/100 dollars per hour

= 3 dollars per hour

Hence, 50 cents per minute to dollars per hour is 3 dollars per hour.

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PLEASE HELP RLLY NEED ANSWER

Angle A and angle B are supplementary. The measure of angle B is 82.5.
What is the measure of angle A, in degrees?

Enter your answer as a decimal, if necessary, like this: 42.5

Answers

Answer:

97.5

Step-by-step explanation:

Supplementary means the angles add up to 180°

So,

m∠A = 180 - m∠B

m∠A = 180 - 82.5

m∠A = 97.5

in words explain how to determine the y intercepts of a rational function. be sure to include if theres a specific way to easily find the y intercept and the possible number of y intercepts

Answers

Answer:

evaluate f(0)there will be 0 y-intercepts if f(0) is undefined, 1 otherwise.

Step-by-step explanation:

You want to know how to determine the y-intercepts of a rational function, and their possible number.

Rational function

A rational function f(x) is the ratio of two polynomial functions p(x) and q(x):

  f(x) = p(x)/q(x)

As such, both numerator and denominator have single function values for any value of the independent variable. The y-intercept of f(x) is ...

  f(0) = p(0)/q(0)

The values of p(0) and q(0) are simply the constant terms in those respective functions.

The simple way to find the y-intercept is to look at the ratio of the constant terms in the polynomial functions making up the rational function. If that is defined, there is one y-intercept. If it is undefined (q(0)=0), then there are no y-intercepts.

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Which of the following is a vertical asymptote for f(x)=x+1/x2+3x+2​ ?
x=−2
x=−3
x=1
x=6​

Answers

x = -2 is a vertical asymptote for the function.

Here, we have,

To determine the vertical asymptotes of a function, we need to find the values of x for which the denominator of the function becomes zero.

In the given function f(x) = (x + 1) / (x² + 3x + 2), the denominator is x² + 3x + 2.

To find the vertical asymptotes, we set the denominator equal to zero and solve for x:

x² + 3x + 2 = 0

Factoring the quadratic equation, we have:

(x + 1)(x + 2) = 0

Setting each factor equal to zero, we get:

x + 1 = 0 or x + 2 = 0

Solving these equations, we find:

x = -1 or x = -2

Therefore, the vertical asymptotes for the function

f(x) = (x + 1) / (x² + 3x + 2) are x = -1 and x = -2.

Among the given options, x = -2 is a vertical asymptote for the function.

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Can I have some help?

Answers

If A is ( - 1, 5)

and the transformation rule is; (x+3, y - 6)

To find A'

add 3 to the x-cordinate and subtract 6 from the y-coordinate of A

That is;

A' = ( -1+ 3 , 5 -6) = (2, -1)

Therefore;

A' = (2, -1)

Instructions: a) Graph both of the lines (hint: hold shift to draw a straight line) b) state the point of intersection.

Instructions: a) Graph both of the lines (hint: hold shift to draw a straight line) b) state the point

Answers

Answer:

there is the ansere

Step-by-step explanation:

the ansere is all doing - 3/4 x-2 is all done.

Instructions: a) Graph both of the lines (hint: hold shift to draw a straight line) b) state the point

Solve analytically Laplace's equation Au=0 in the square [0, 1]²2 with boundary conditions u(x,0) = 0 = u(0, y), u(x, 1) = u(1, y) = 1.

Answers

The Laplace equation is defined as Au=0. The aim is to solve analytically Laplace's equation in the square [0, 1]²2 with boundary conditions u(x,0) = 0 = u(0, y), u(x, 1) = u(1, y) = 1.

Let's consider the Laplace equation as followsAu = ∂²u/∂x² + ∂²u/∂y²= 0Given boundary conditions areu(x, 0) = 0u(0, y) = 0u(x, 1) = u(1, y) = 1The solution of the Laplace equation is as followsu(x,y) = X(x).Y(y)Let's find the boundary conditionsu(x, 0) = 0

Let's substitute the value of Y(0) in the solution to get X(x).Y(0) = 0, which implies Y(0) = 0Similarly, u(0, y) = 0 => X(0).Y(y) = 0 => X(0) = 0Now, let's find the remaining boundary conditionsu(x, 1) = 1X(x).Y(1) = 1 => Y(1) = 1/X(x)u(1, y) = 1 => X(1).Y(y) = 1 => X(1) = 1/Y(y)Now, let's put the values of X(0) and X(1) in the below equationX(0) = 0, X(1) = 1/Y(y)X(x) = x

Now, let's put the values of Y(0) and Y(1) in the below equationY(0) = 0, Y(1) = 1/X(x)Y(y) = sin(n.π.y) /sinh(n.π)Therefore, the solution of Laplace's equation u(x, y) is as follows;u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π)Answer:Therefore, the solution of Laplace's equation u(x, y) is u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π).

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6(x + 1) - 5(x + 2)
Simplify help ASAP

Answers

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{ x - 4}}}}}\)

Step-by-step explanation:

\( \sf{6(x + 1) - 5(x + 2)}\)

Distribute 6 through the parentheses

Similarly, distribute 5 through the parentheses

\( \longrightarrow{ \sf{6x + 6 - 5x - 10}}\)

Collect like terms

\( \longrightarrow{ \sf{ x + 6 - 10}}\)

The negative and positive integers are always subtracted but posses the sign of bigger integer

\( \longrightarrow{ \sf{ x - 4}}\)

Hope I helped!

Best regards! :D

A metal pipe is 1.75 meters long. Josh wants to make a scale drawing of the pipe. The scale factor for his drawing will be 1/25. What will be the length, in centimeters, of the metal pipe in his drawing

Answers

Answer:

sagutan mo yan module mo yan wag kang umasa sa brainly

A company produces book covers. The production cost per book cover is $7. Each book cover sells for $19. The company's monthly fixed cost is $105,000. A. Find the profit function. B. If the company produces and sells 7500 book covers, what is the profit earned or the loss sustained? C. If the company produces and sells 8750 book covers, what is the profit earned or the loss sustained? D. If the company produces and sells 11,835 book covers, what is the profit earned or the loss sustained?

Answers

The profit function for the company is Profit = (19x - 7x) - 105,000. When the company produces and sells 7500 book covers, the profit earned is $99,000. When the company produces and sells 8750 book covers, the profit earned is $152,500.

A. Profit = (19x - 7x) - 105,000

B. Profit = (19(7500) - 7(7500)) - 105,000 = $99,000

C. Profit = (19(8750) - 7(8750)) - 105,000 = $152,500

D. Profit = (19(11835) - 7(11835)) - 105,000 = $229,495

A. The profit for the company for a single book cover is the difference between the selling price and the production cost. The selling price is $19 and the production cost is $7. The difference is $12. The company's fixed cost is $105,000, so the profit function is Profit = (19x - 7x) - 105,000.

B. To find the profit earned by the company when it produces and sells 7500 book covers, substitute 7500 for x in the profit function. Profit = (19(7500) - 7(7500)) - 105,000 = $99,000.

C. To find the profit earned by the company when it produces and sells 8750 book covers, substitute 8750 for x in the profit function. Profit = (19(8750) - 7(8750)) - 105,000 = $152,500.

D. To find the profit earned by the company when it produces and sells 11,835 book covers, substitute 11,835 for x in the profit function. Profit = (19(11835) - 7(11835)) - 105,000 = $229,495.

The profit function for the company is Profit = (19x - 7x) - 105,000. When the company produces and sells 7500 book covers, the profit earned is $99,000. When the company produces and sells 8750 book covers, the profit earned is $152,500. When the company produces and sells 11,835 book covers, the profit earned is $229,495.

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PLEASE HELP!!!! WILL CHOOSE BRAINLIEST!!!!

PLEASE HELP!!!! WILL CHOOSE BRAINLIEST!!!!

Answers

Answer:

x=-5     y=52

x=-1      y=12

x=0      y=2

x=1       y=-8

Step-by-step explanation:

Hope this helps (:

If daily demand is constant at 10 units per day, and lead time averages 12 days with a standard deviation of 3 days, 95 percent service requires how much safety stock?A) 28 unitsB) 30 unitsC) 49 unitsD) 59 unitsE) 114 units

Answers

If daily demand is constant at 10 units per day, and lead time averages 12 days with a standard deviation of 3 days, 95 percent service requires 49 units safety stock .Option (C) is correct.

To calculate safety stock, we need to consider the deviation in lead time and the desired service level. The formula for safety stock is:
Safety Stock = (Z-score for desired service level * Standard deviation of lead time * Average daily demand)
Assuming a normal distribution, the Z-score for 95% service level is 1.645. Substituting the given values, we get:
Safety Stock = (1.645 * 3 * 10)

=49.35 units
Rounding up to the nearest whole number, the answer is option C) 49 units.
It is important to note that safety stock is not the same as average inventory level. Safety stock is a buffer that protects against variability in demand and lead time, and it helps ensure that we can meet customer demand without stockouts. Averages, on the other hand, represent typical values over time.

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Study Guide:
What are the assumptions (or conditions) required for the Intermediate Value Theorem?

Answers

The Intermediate Value Theorem states that for any value c between the function's values at the endpoints (f(a) and f(b)), there exists a value x in the interval [a, b] such that f(x) = c.

The assumptions (or conditions) required for the Intermediate Value Theorem are:

1. The function is continuous: The function must be continuous on the closed interval [a, b]. This means that there are no breaks, jumps, or holes in the graph of the function within the given interval.

2. The interval is closed and bounded: The interval [a, b] must be a closed interval, meaning it includes both endpoints a and b. Additionally, the interval must be bounded, meaning the function has a maximum and a minimum value within the interval.

By satisfying these two assumptions, the Intermediate Value Theorem states that for any value c between the function's values at the endpoints (f(a) and f(b)), there exists a value x in the interval [a, b] such that f(x) = c.

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Sheila, janice, and katen, working together at the same rate, can complete a job in 3 1/3 days. Working at the same rate, how much of the job could janice and caren do in 1 day

Answers

Answer:

Janice and Karen could do in 1 day:

20% of the job.

Step-by-step explanation:

To identify how much of the job could janice and caren do in 1 day, first, we must find how much of the job make just 1 person at the same rate:

If three persons make a job in 3 1/3 days, 1 person make the job in x:

3 persons ⇒ 3 1/3 days or 10/3 days1 person ⇒ x

Then:

\(x=\frac{1 person*\frac{10}{3}days }{3 persons}\) (we cancel the unit "persons")\(x=\frac{\frac{10}{3}days }{3}\)x = 10 days

Just a person would need 10 days to complete a job, now, we're gonna divide this value in 2 to obtain the time that need two persons to complete a job:

Time to complete a job between 2 persons = \(\frac{10}{2}days\)Time to complete a job between 2 persons = 5 days

How two persons need 5 days to complete a job (in this case, the two persons are Janice and Karen), we can make a simple rule of three to obtain the percentage made in 1 day:

5 days ⇒ 100% of a job1 day ⇒ x

Then:

\(x=\frac{1*100}{5}\) (you can use the % if you want, the result is the same)\(x=\frac{100}{5}\)\(x=20\)

As you can see, Janice and Karen just in a day could do 20% of the job.

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