based off of this information, what conclusions can be made about the mean value theorem? this contradicts the mean value theorem since f satisfies the hypotheses on the given interval but there does not exist any c on (1, 4) such that f '(c)

Answers

Answer 1

The correct option is; 4: this contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) (7 − 1) , but f is not continuous at x = 3.

Explain the term Mean Value Theorem?The Mean Value Theorem says that there occurs a point c in the interval (a,b) so that f'(c) equals the function's average rate of change throughout [a,b] if a function f is continuous just on closed interval [a,b] as well as differentiable just on open interval (a,b).

The function being used is;

f(x) = (x - 3)⁻²

If we separate this function according to x, we obtain;

f'(x) = -2/(x - 3)³

Finding all c values f(7) − f(1) = f '(c)(7 − 1).is our goal.

This suggests that;

0.06 - 0.25 = -2/(c - 3)³ x 6

-0.19 =  -12/(c - 3)³

(c - 3)³ = 63.157

c = 6.98

If the Mean Value Theorem holds for this function, then f must be continuous on [1,7] and differentiable on (1,7).

But when x = 3, f is not continuous, hence the Mean Value Theorem's prediction is false.

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The complete question is-

Let f(x) = (x − 3)−2. Find all values of c in (1, 7) such that f(7) − f(1) = f '(c)(7 − 1). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) c = Based off of this information, what conclusions can be made about the Mean Value Theorem?

This contradicts the Mean Value Theorem since f satisfies the hypotheses on the given interval but there does not exist any c on (1, 7) such that f '(c) = f(7) − f(1) 7 − 1 . This does not contradict the Mean Value Theorem since f is not continuous at x = 3. This does not contradict the Mean Value Theorem since f is continuous on (1, 7), and there exists a c on (1, 7) such that f '(c) = f(7) − f(1) 7 − 1 . This contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) 7 − 1 , but f is not continuous at x = 3. Nothing can be concluded.

Related Questions

A Departmental Store ha 10 rack of confectionery item 5 rack of bread item and 15 of grocery item calculate the percentage of all item in the Departmental Store and which item i in maximum

Answers

Total no of racks in the store is 30 and grocery item is maximum.

What is percentage?

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

How to find percentage?

Divide the amount by the total value to get the percentage, then multiply the resulting number by 100.

Racks of confectionery items = 10

Racks of bread items = 5

Racks of grocery items = 15

The total no of racks in the departmental store is 30

Using the percentage formula we will calculate the percentage of each item

percentage of confectionery items rack =no. of confectionery racks/total no. of racks  x100

=10/30x100=33.33%

percentage of bread items rack = no. of bread racks/total no. of racks x 100

= 5/30x 100=16.66%

percentage of grocery items rack = no. of grocery racks/total no. of racks x 100

= 15/30 x 100 = 50%

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What is a reflection rule that maps each triangle and its​ image?

Answers

The equation of the line is y = x. Then the rule of reflection is (x, y) ⇒ (y, x).

What is a reflection of the point?

It is the image of the point which is located in the opposite direction of a given point.

The rule of the refection is given will be

Firstly, the rule for reflecting a point about the line y = x is;

While reflecting on the line y = x, we get the reflected points by swapping the coordinates.

The equation of the line that passes through (0, 0) and (1, 1) is given as,

y - 0 = [(1 - 0) / (1 - 0)](x - 0)

y = x

The equation of the line is y = x. Then the rule of reflection is given as,

(x, y) ⇒ (y, x)

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Is this a function or not a function?
(6, 3) (5, 3) (4, 3) (3, 3)

Answers

No not a function cus the all have the same x axis

Complete the equation for a line through point A(-3, 3) and perpendicular to the line passing through (0, -2) and (4, 1).

Answers

Answer: Zeli shan tel

Step-by-step explanation:

Drag each tile to the correct location on the inequality. Each tile can be used more than once.
Consider the graphed function.

Answers

The domain of the function y = 2x + 5 is [-4, 1), and the range of the function is  [5, 7). The graph is also attached below.

What is a graph?

A collection of objects is arranged in a graph, where some object pairings are conceptually "linked." Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.

Given:

As you can see from the graph, the coordinates of the line are (0, 5) and (1,7),

Calculate the equation of the line as shown below,

y - 5 = (7 - 5) / (1 -0) (x-0)

y - 5 = 2 (x +0)

y = 2x + 5

The domain of the above equation can be determined from the graph,

Domain = [-4, 1)

Range = [5, 7)

The graph is also attached below.

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evaluate the integral. (use c for the constant of integration.) x2 15 + 6x − 9x2 3/2 dx

Answers

On integrating the function f(x), we get - (x³/45) + (3x²) - (2x³) + C.

What is integration?An integral is a function, of which a given function is the derivative. Integration is basically used to find the areas of the two-dimensional region and computing volumes of three-dimensional objects. Mathematically, we can write -

        [tex]$\int_a^b \! f(x) \, \mathrm{d}x.[/tex]

Given is the function, as follows -

f(x) = (x²/15 + 6x - 9x²/{3/2})

The given function is -

f(x) = (x²/15 + 6x - 9x²/{3/2})

∫f(x) = ∫(x²/15 + 6x - 9x²/{3/2}) dx

∫f(x) = ∫(x²/15)dx + ∫(6x)dx - ∫(6x²)dx

∫f(x) = (1/15)(x³/3) + C₁ + (6)(x²/2) + C₂ - (6)(x³/3) + C₃

∫f(x) = (x³/45) + (3x²) - (2x³) + {C₁ + C₂ + C₃}

∫f(x) = x³/45) + (3x²) - (2x³) + C                  (C = C₁ + C₂ + C₃)

Therefore, on integrating the function f(x), we get (x³/45) + (3x²) - (2x³) + C.

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find the centroid of the region in the first quadrant bounded by the given curves. y = x8, x = y8

Answers

The centroid of the region in the first quadrant bounded by the given curves is (81/170, 81/170).

In the given question, we have to find the centroid of the region in the first quadrant bounded by the given curves.

The given curves are:

y = x^8, x = y^8

We can write the curves as

y = x^8...........................(1)

y = x^{1/8}.......................(2)

Now putting the value of y from equation 1 in equation 2, we get

x^8 = x^{1/8}

Now simplifying,

x^{64} = x

x^{64}-x = 0

x(x^{63} - 1) = 0

After equating equal to zero,

x = 0, x = 1

My = [tex]\int_{a\rightarrow b}x[f(x)-g(x)]dx[/tex]

My = [tex]\int_{0}^{1}x[x^{1/8} - x^{8}]dx[/tex]

My = [tex]\int_{0}^{1}[x^{9/8} - x^{9}]dx[/tex]

My = [tex][(8/17)x^{17/8} - (1/10)x^{10}]_{0}^{1}[/tex]

My = (8/17)-(1/10)

My = 63/170

Mx = 1/2[tex]\int_{a\rightarrow b}[(f(x))^2-(g(x))^2]dx[/tex]

Mx = 1/2[tex]\int^{1}_{0}[x^{1/4} - x^{16}]dx[/tex]

Mx = 1/2 [tex][(4/5)x^{5/4} - (1/17)x^{17}]^{1}_{0}[/tex]

Mx = (1/2)[(4/5)- (1/17)]

Mx = 63/170

M = [tex]\int_{a\rightarrow b}[f(x)-g(x)]dx[/tex]

M = [tex]\int^{1}_{0}[x^{1/8} - x^{8}] dx[/tex]

M = [tex][(8/9)x^{9/8} - (1/9)x^{9}]^{1}_{0}[/tex]

M = [(8/9) - (1/9)]

M =7/9

Center of mass(x',y') = (My/M, Mx/M)

Center of mass(x',y') = ((63/170)/(7/9), (63/170)/(7/9))

Center of mass(x',y') = (81/170, 81/170)

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While looking at some reports, a
store manager notes that gold
rings that retail for $688 end up
costing customers $731 once the
sales tax is added. What is the
sales tax percentage?
(round your answer to the nearest hundreths)

Answers

6.25% is the the sales tax.

What is Percentage?

Percentage, a relative value indicating hundredth parts of any quantity.

Given that a store manager notes that gold rings that retail for $688 end up

costing customers $731 once the sales tax is added.

We need to find the sales tax percentage.

The percentage we can calculate by subtracting original amount minus new amount by original amount and multiplied with 100.

731-688/688

0.0625

Multiply 0.0625 with 100 as it is a hundredth part.

0.0625×100

6.25%

Hence, the sales tax percentage is 6.25%.

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Given that the measurement is in inches find the circumference of the circle to the nearest tenth use 3.14 for. Please show ur work Bc I have too !!

Answers

Answer:

25.12 in.

Step-by-step explanation:

C = 2πd

C = 2 × 3.14 × 4 in.

C = 25.12 in.

Complete the statements. Explain.

Question 1
Part A

Enter the correct answers in the boxes.

−4(5+(−2))= (
) (5)+ (
)(−2)
−4 (
) =−20+

Answers

The numerical expression is -4(5+(-2)) by solving we get -12 is the number with a negative term.

Given that,

The expression is -4(5+(-2))

We have to find what is the solution for the given numerical expression.

We know that,

Mathematical statements called expressions must contain a minimum of two terms with either numbers, variables, or both, joined by an operator. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Take the numerical expression

-4(5+(-2))

Adding 5+(-2)

Multiply + - we get -

So,

5-2=3

-4(5-2)=-4(3)

Multiply 4 to 3

-4(3)=-12

Therefore, The numerical expression is -4(5+(-2)) by solving we get -12 is the number with a negative term.

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Tyler’ firt and correct equation : 0. 65p 0. 10t = 1. 70
Tyler’ econd and incorrect equation: t =(1. 70. 0. 65p). 0. 10

Answers

This equation is incorrect because it is missing a division sign between 1.7 and 0.65p. The correct equation should be t = (1.7 / 0.65p) * 0.10

First, we need to isolate the variable 't' in the equation. To do this, we need to divide both sides of the equation by 0.10. This will give us 0.65p/0.10 = 1.70/0.10, which simplifies to t = (1.7 / 0.65p) * 0.10. This is the correct equation that we need to solve for 't'.

t = (1.7 / 0.65p) * 0.10

t = (1.7 / (0.65 * p)) * 0.10

t = (17 / (6.5 * p)) * 0.1

t = (17 * 0.1) / (6.5 * p)

t = (1.7) / (6.5 * p)

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Which expression is equivalent to 3(−4.2y − 13.6)?

A. 1.2y − 13.6
B. 1.2y − 10.6
C. −12.6y − 13.6
D. −12.6y − 40.8

Answers

Answer:

the anwser is b

Step-by-step explanation:

helpppppppppppppppppppppppppppppppppppppppppppppppp asap

Answers

Answer: It should be 3rd onem 3/4n=5/8

Step-by-step explanation: if not my bad-

Please help me respond this question

Answers

Check the picture below.

Answer:

14.1

Step-by-step explanation:

You add all of your numbers up, and then you divide by how many numbers you have.

Find the sum of the first 20 terms of the sequence below.
27, - 9, + 3, - 1, ...

Answers

The sum of the first 20 terms of the geometric sequence is 20.25.

What is a geometric sequence?

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

Example:

2, 4, 8, 16, 32 is a geometric sequence.

We have,

27, -9, 3, -1,.....

a = 27

Common ratio:

= -9/27 = -1/3

= 3/-9 = -1/3

The sum of the geometric sequence.

S(n) = a (1 - [tex]r^n[/tex]) / (1 - r)

Now,

a = 27,

r = -1/3

S(20):

= 27 (1 - [tex](-1/3)^{20}[/tex]) / (1 + 1/3)

= 27 (1 + 1/[tex]3^{20}[/tex]) / (4/3)

[ (1 + 1/[tex]3^{20}[/tex]) = 1 ]

= 27 x 3/4 x 1

= 20.25

Thus,

The sum of the geometric sequence is 20.25.

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The data represent the number of mines traveled by 10 delivery drivers in a community for one day.

218,223,211,299,231,245,261,278,212,233

What is the first quartile of miles driven?

A. 218
B. 261
C. 215
D. 232

Answers

The first quartile of miles driven is 218 miles.

What are quartiles in a data set?

Quartiles are three values ​​that divide the sorted data into four parts, each of which has the same observation value.

First quartile: Also known as Q1 or lower quartile. Second Quartile: Also called Q2 or median. Third Quartile: Also known as Q3 or upper quartile.

The four quarters that divide the dataset into quartiles are:

At least 25% of the number.The next lowest 25% of the numbers (up to the median).25% of the second highest number (above the median).Up to 25% of the number.

Let's arrange the data in an order:

211,212,218,223,231,233,245,261,278,299

Since the data has 10 observation, for which the median will be simply the average of two middle terms i.e.5th and 6th term dividing the data in two halves.

Median: 232

First half: 211,212,218,223,231

Second half: 233,245,261,278,299

As, quartiles are the medians of each half,

First quartile: 218

Third quartile: 261

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at confidence, what is the margin of error and the interval estimate of the number of eligible people under years old who had a driver's license in ?

Answers

Part a: The margin of error and the interval estimate is E = 0.027 and 0.6120 < p < 0.666 respectively.

Part b:  The margin of error and the interval estimate is E = 0.027 and 0.3900 < p < 0.4440 respectively.

Explain the term margin of error?Your results will deviate by various percentage points from the actual population value, according to your margin of error. It is described as a very small percentage that is allowed for error in calculations.

Considering the first query;

The 1995 sample proportion is; P₁ = 0.693.The size of the sample is; n = 1200

Since the confidence level for the question is 95%, the level of importance is;

α = (100 - 95)%

α = 0.05

Typically, the crucial value of comes out from normal distribution table of α/2 is;

Z(α/2) = 1.96

Typically, this margin of error is denoted mathematically as follows:

E = Z(α/2)*√P₁(1 - P₁)/n

E = 1.96*√0.639(1 - 0.639)/1200

E = 0.027

Mathematically, a 95% Interval estimate is typically written as;

P₁ - E < p < P₁ +E

0.639 - 0.027 < p < 0.639 + 0.027

0.6120 < p < 0.666

Thus, the margin of error and the interval estimate is E = 0.027 and 0.6120 < p < 0.666 respectively.

Part (b)

The 1995 sample proportion is; p₂ = 0.417Sample size: n = 1200

Since the confidence level for the question is 95%, the level of importance is;

α = (100 - 95)%

α = 0.05

Typically, the crucial value of comes from the normal distribution table and is;

Z(α/2) = 1.96

Typically, the margin of error is denoted mathematically as follows:

E = Z(α/2)*√p₂(1 - p₂)/n

E = 1.96*√0.417(1 - 0.417)/1200

E = 0.027

Mathematically, a 95% Interval estimate is typically written as;

P₁ - E < p < P₁ +E

0.417 - 0.027 < p < 0.417 + 0.027

0.3900 < p < 0.4440

Thus, the margin of error and the interval estimate is E = 0.027 and 0.3900 < p < 0.4440 respectively.

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The complete question is-

Fewer young people are driving. In 1995, 63.9% of people under years 20 old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample 1,200 of people under 20 years old who were eligible to have a driver's license in 1995 and again in 2016.

a. At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver's license in 1995?

Margin of error(to four decimal places)

Interval estimate (to four decimal places)

b. At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver's license in 2016?

The functions f(x) and g(x) are shown on the graph.
f(x) = x²
What is g(x)?
10
A. g(x) = 2x²
B. g(x) = (x - 2)²
C. g(x) = (¹ x)²
D. g(x) = (x + 2)²
f(x)
(2,8)

Answers

The equation of the transformed function is g(x) = -x² - 2

How to describe the transformation from the parent function?

From the question, we have the following function that can be used in our computation:

f(x) = x² -- parent root function

When the graph is examined (see attachment), we have the transformation to be

g(x) = reflect f(x) across the x-axis and a downward shift of 2 units.

Mathematically, this can be represented as

g(x) = -f(x) - 2

Substitute the known values in the above equation, so, we have the following representation

g(x) = -x² - 2

Hence, the transformed function is g(x) = -x² - 2

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The point-lope form of the equation of the line that pae through (–4, –3) and (12, 1) i y – 1 = y-1=1/4(x – 12). What i the tandard form of the equation for thi line?

Answers

An equation of line having slope 1/4 and passes through the point (-4,-3) is y = 1/4x - 2

We know that the slope-point form of line is:

(y - y1) = m(x - x1)

Here, we need to find an equation of line having slope 1/4 and passes pae through the point (-4,-3)

let (x1, y1) = (-4, -3)

and m = 1/4

substitute values in above formula,

(y - (-3)) = 1/4 (x +4)

y + 3 = 1/4 (x+4)

y = 1/4x -2

which is slope-intercept form of line (y = mx + b)

Therefore, equation of line is y = 1/4x - 2

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A cylinder has a radius of 14 m and a height of 6 m. what is the exact volume of the cylinder? responses 84π m³ 84 pi, m³ 168π m³ 168 pi, m³ 504π m³ 504 pi, m³ 1176π m³

Answers

Answer:

answer is on the photo......

Which expression is equivalent to (ab8)4?

a5b12
ab12
a4b32
ab32

Answers

Answer:

The answer is ab32

Step-by-step explanation:

ab x 8 x 4 = ab32

Answer: a^4b^32

Step-by-step explanation: (ab^8)^4 = (ab^8)(ab^8)(ab^8)(ab^8) = a^4b^32

Evaluate the expression for t = 9 and u = 2.
t + u =

Answers

9+2=11

if you don’t understand how to substitute numbers for variables i’d talk to your teacher immediately

the tangent line to a certain curve at any point p(x, y) has an x-intercept equal to 3 4 x. this curve also passes through the point (1, 16). find the equation of this curve.

Answers

At any point p(x, y), the tangent line to a particular curve has an x-intercept of 3 4 x. The point is also traversed by this curve (1, 16). The equation of the curve is y - 16 = (3/4)(x - 1)^2

To find the equation of the curve, we first need to find the equation of the tangent line at point P(x, y).

Since the x-intercept is 3/4x, the equation of the tangent line is

y - y_p = (3/4)(x - x_p).

We substitute the given point (1, 16) in the equation to find the value of y_p and x_p which are 16 and 1 respectively.

y - 16

= (3/4)(x - 1).

This equation is the equation of the curve.

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A deck of cards contains red, yellow, and blue cards. The probability of selecting a red card out of a deck is 1 9 . The probability of selecting a yellow card is 3 times the probability of selecting a blue card. What is the probability of randomly selecting a blue card on your first try?

Answers

We are given that the probability of selecting a yellow card is 3 times the probability of selecting a blue card, so we can write the following equation:

yellow = 3 * blue

We also know that the sum of the probabilities of selecting a red, yellow, or blue card must be equal to 1, so we can write the following equation:

red + yellow + blue = 1

Substituting the expression for yellow from the first equation into the second equation, we get:

red + 3 * blue + blue = 1

Combining like terms, we get:

red + 4 * blue = 1

We are given that the probability of selecting a red card is 1/9, so we can substitute this value into the equation:

1/9 + 4 * blue = 1

Solving for blue, we get:

blue = (1 - 1/9) / 4

blue = (8/9) / 4

blue = 2/9

Therefore, the probability of selecting a blue card on the first try is 2/9.

Machine fills rate 135 containers per minute how long will it take to fill 1000 containers at the same rate


HOW?

HOW?

7.4

Answers

Answer:

7.4 mins

Step-by-step explanation:

135 -----> 1 min

1000 ----> x

1000/135 mins = x

= 7.4 mins

Answer:

To determine how long it will take to fill 1000 containers at a rate of 135 containers per minute, you can use the formula: time = number of containers / filling rate. In this case, the filling rate is 135 containers per minute, and the number of containers you want to fill is 1000. Plugging these values into the formula, we get: time = 1000 / 135 = 7.41 minutes.

12)
60°
-5+ 13x

Please help

Answers

Answer:

-5 + 13x = 60

13x = 65

x = 5

CHECKING:

-5 + 13(5) = 60

-5 + 65 = 60

60 = 60

Step-by-step explanation:

heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ  -{ elyna s }-

Is this a function or not a function?


Answers

answer:

if because x does not have two y

Step-by-step explanation:

I hope it works

I would say it is a function

pls help i’ll give brainlist to right answer

Answers

Answer:

i believe its 5+n ≤ -7

Step-by-step explanation:

the sum of 5 and a number(n) would be 5+n, and no more woukd be the  ≤  sign, which would lead to -7

(12a - 5b) - (a + 6b)

Answers

The answer is 11(a - b), To solve this expression, we need to perform the subtraction operation on the terms inside the parentheses. First, we subtract the term "a + 6b" from "12a - 5b". This gives us 11a - 11b. Then, we can simplify this expression by combining the like terms 11a and -11b to get 11a - 11b = 11(a - b). This is the final answer.

Select the correct systems of equations. Identify the systems of equations that have a as their point of intersection.

Answers

We can identify a correct system of equations after draw the graph of the system. The point of intersection indicates the correct solution of the system.

What is the system of equation?

Two or more equations which have the same variables, and we can use these all together. The equations are called a set of equations. We get the solution from the system while plotting in the XY coordinate system.

Such as we have two or more linear equations, and we solve each equation and draw a graph for each. We will notice a point of intersection of the straight lines and that refers the solution of the system of equation.

How can we identify a system of equation that have a point of intersection in the graph?

There are many sets or system of equation. Some systems have infinity many solutions and graph of the equations never intersect each other. In the next, there are system of equations such as a set of linear function from where we get a point of intersection after plotting the graphs together. The line of intersection is the correct solution of the system.

On the other hand, there are some sets which have no solution, and they are called inconsistent.

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consider the sample space given below. a die is a cube with six sides on which each side contains one to six dots. suppose a blue die and a gray die are rolled together, and the numbers of dots that occur face up on each are recorded. the possible outcomes of the sample space s are listed as follows, where in each case the die on the left is blue and the one on the right is gray. s = {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66} Write the following event as a set. (Enter your answer in roster notation. Enter EMPTY or o for the empty set.) The event that the sum of the numbers showing face up is at least 9. E Compute its probability. what talent management principle relates to training some people and hiring others from the external marketplace to meet specific human capital needs for the company? elsa is a young, single mother living in poverty. prevention efforts to safeguard her mental health would be most effective if they focus on the downward slope of the aggregate demand curve is based on logic that as the price level rises, consumption, investment, and net exports all fall. true false the base of a solid is a circular disk with radius 3. find the volume of the solid if parallel cross-sections perpendicular to the base are isosceles right triangles with hypotenuse lying along the base. marshall inc. had beginning balances (january 1) of $200,000 and $5,000 for accounts receivable and the allowance for doubtful accounts, respectively. during the year, the company had the following transactions. sales $900,000 write-off of accounts 1,000 cash collections on account receivable 850,000 bad debt expense recorded 2,8001. Determine the cash receipts from customers reported in the operating activities section in the statement of cash flows assuming the direct method.2. Reconcile sales to cash receipts from customers. a protein that uses atp hydrolysis to separate the two dna strands during replication is called . group of answer choices all of these are good answers helicase gyrase A balance sheet that divides the various assets and liabilities into groups, such as current assets and current liabilities, is called a ________ balance sheet.classified research the company alibaba, and describe some reasons that you think it has been so successful. the _______ takes the password the user originally chooses, chops it up, and stirs it around according to a given formula. Martin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color butinstead by their character. Write a narrative essay about a moment in your life when you were judged by something other than thecontent of your character. Use narrative techniques to develop experiences, events, and characters. You are the IT administrator at a small corporate office. You just downloaded a new release for a program you use. You need to make sure the file was not altered before you received it. Another file containing the original file hash was also downloaded. The files are located in C:\Downloads.In this lab, your task is to use MD5 hash files to confirm that the Release.zip file was unaltered as follows:Use Windows PowerShell to generate a file hash for Release.zip.Examine the release821hash.txt file for the original hash.Compare the original hash of the Release.zip file to its calculated hash in PowerShell to see if they match.At the prompt, type "calculated hash" -eq "known hash" and press Enter.The calculated hash is the hash generated by the get-filehash file_name -a md5 command and the known hash is the hash generated by the get-content file_name.txt command. Remember to include the quotation marks and the file extensions with the file names in the commands.Scenario workday if a job posting no longer exists does that mean you are no longer in consideration or it has been filled The half-life for radioactive decay (a first-order process) of plutonium-239 is 24,000 years.How many years would it take for one mole of this radioactive material to decay so that just one atom remains? which is the first thing the compiler does when a function is called? group of answer choices creates a jump instruction to the function With the Heimlich maneuver, your hands should move in what direction?A. Downward and outB. Inward and leftC. Inward and downD. Upward and in 34) A company advertises on a website. A worker tracked the number of visits to the website and the number of clicks on the advertisement. The table shows the data for several days. A linear function can be used to model the data. Based on the table, what is the best prediction of the number of clicks on the advertisement if 1,500 people visit the website?A) 77 B) 137 C) 83 D) 105 TRUE/FALSE. the key to international diversification is selecting foreign projects whose performance levels are highly correlated over time. how does the metabolism occurring in chloroplasts differ from that of mitochondria? The total flow of money into a country minus the total flow of money out of the country over some period of time is called the nation's balance of trade.a. Trueb. False