What is the slope of the line that passes through the points (-7,-2) and
(-15, -14)? Write your answer in simplest form.

Answers

Answer 1

Answer:

Step-by-step explanation:

To find the slope of a line that passes through two points, we can use the slope formula, which is written as follows:

slope = (y2 - y1) / (x2 - x1)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

Given the points (-7, -2) and (-15, -14), we can substitute their coordinates into the slope formula to find the slope of the line:

slope = (-14 - (-2)) / (-15 - (-7))

= -12 / -8

= 3/2

Therefore, the slope of the line that passes through the points (-7, -2) and (-15, -14) is 3/2. In simplest form, this is equal to 1.5.


Related Questions

Davontae is attending a local festival downtown. He plans to park his car in a parking garage that operates from 7:00 a.m. to 7:00 p.m. and charges $3 for the first hour and. $2 for each additional hour or part of an hour of parking (for example, 2 hours 15 minutes would be charged as 3 hours). When creating a linear graph that represents the relationship between the price and number of hours parked, what would be an appropriate domain and range for the given situation?

Answers

The domain and range is calculated to be

domain { x | 0 ≤ x ≤ 12 }

range (3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 }

How to find an appropriate domain and range for the given situation

The situation described has the following information deduced form the problem

a parking garage that operates from 7:00 a.m. to 7:00 p.m.

from  7:00 a.m. to 7:00 p.m = 12 hours

hence form 0 to 12 is the domain

and charges $3 for the first hour and. $2 for each additional hour or part of an hour of parking

this means that the y intercept is 3 and the slope is 2, hence the equation of the line is

y = 2x + 3

The range is calculated as follows, since 11.59 is counted as 12 we take 11

at x = 0, y = 2 * 0 + 3 = 3

at x = 11, y = 2 * 11 + 3 = 25

the range is calculated to be 3 to 25

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A box contain 5orange ball, 4yellow and1 greenballa ball i picked out of the box random find the probability that i green, orange, l

Answers

Using the formula for the combination and with the And rule of probability, The answer is 20.

What do you mean by probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

What is combination and it's formula?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.

It's formula is:

[tex]C(n,r) = \frac{n!}{r!*(n-r)!}[/tex]

orange balls = 5

yellow balls = 4

green balls = 1

probability = C(5,1)*C(4,1)*C(1,1)

=5*4*1

=20.

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lana elf measured the width of 9 xmas presents the total width of all the presents was 135 inches if the presents were the same width ow wide was each present if all presents had different widths what is one possiility for the widths of 9 presents

Answers

15 inches is the width of each present.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Lana elf measured the width of 9 Christmas presents.

The total width of all the presents was 135 inches.

If the presents were all the same width then we need to find the width of each present.

w=width.

As given, 9w=135

Divide both sides by 9

w=135/9

w=15

Hence, 15 inches is the width of each present.

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12 workers can do a piece of work in 30 days.find how many workers should be added to finish the work in 24 days.​

Answers

The number of more workers required that the work will finish in 24 days will be equal to 3 workers.

What are arithmetic operations?

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

12 workers can finish the work in 30 days.

Let the number of more men be x that the work will be finished in 24 days.

Use the man-days concept.

M₁ D₁ = M₂D₂

Here, M₁ and M₂ are the numbers of men, and D₁ and D₂ are the numbers of days.

12 × 30 = x × 24

x = (12 × 30)/24

x = 15

So, the number of extra men is,

15 - 12 = 3 workers.

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Use the Pythagorean Theorem to find the missing length and then round the
result to the nearest tenth.
a = 7, b = 7, C=

Answers

Answer:9.9

Step-by-step explanation:

We know that pythagorean Theorem is a^2+b^2=c^2

Using this, and A & B we can plug them in

We get 49+49=c^2

98=c^2

we can square root both sides to get

sqrt98=c^2

or 9.9(rounded to the nearest 10th)

Answer:

c = 9.9 to the nearest tenth

Step-by-step explanation:

Pythagoras theorem = c² = a² + b²

a= 7, b = 7, c =?

c² = 7² + 7²

c² = 49 + 49

c² = 98

c =√98

c = 9.8995

Answer to the nearest tenth

c = 9.9

20 inch (diameter) bicycle wheel is spinning at a rate of 150 rpm. how fast is the bicycle moving (in mph)?

Answers

The bicycle is moving at a speed of 14,356 meters per hour.

Here, we are given that the wheel of a bicycle is spinning at the rate of 150 revolutions per minute.

The diameter of the wheel is 20 inches

radius = 10 inches

circumference of the wheel = 2 × π × 10

= 20π

Thus, the wheel will cover a distance of (20π × 150) inches in a minute

= 300π

now, we know that 1 inch = 0.254 meters

⇒ 300π inches = 300π × 0.254

= 76.2π

Thus, the bicycle covers 76.2π meters in a minute

⇒ it'll cover 76.2π × 60 meters in an hour

= 4572π

= 4572 × 3.14

= 14,356.08

Thus, the bicycle is moving at a speed of 14,356 meters per hour.

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Marc wrote down a 5 digit number on a piece of paper. The number when rounded off to the nearest thousand was 12 000. What was the greatest possible number that he wrote?

Answers

Answer:

12499

Step-by-step explanation:

because if it would be 12500 it would round up to 13000.

Miguel rode his bike to work which was 15 miles from home. However he was too tired to ride back so he got a ride in a car from a co-worker. He spent a total of 2 hours traveling. The average speed of traveling by car was 3 times faster than on his bike. What was Miguel’s average speed on his bike and in the car?

Answers

Answer:

2hrs(3x faster) :

6hrs = 15 miles

2.5 miles per hour - bike

2hrs = 15 miles

7.5 miles/hr = car

Step-by-step explanation:

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

Each nack cot $0. 75 , and the amount wa charged to Dave’ account. What amount hould be on Dave’ account for nack lat month?

Answers

If Dave bought 5 packs of snacks, then the amount on Dave's account for snack last month should be $3.75.

Dave purchased 5 packs of snacks last month and the cost of each pack was $0.75. The total cost of the snacks was charged to Dave's account, so his account balance should reflect the total cost of the snacks. In this case, Dave purchased 5 packs of snacks, so the total cost would be $3.75 ($0.75 x 5). Therefore, Dave's account balance should show $3.75 for the snack purchases last month. This amount is the sum of the individual cost of each snack pack, multiplied by the number of packs Dave purchased. In this case, the amount on Dave's account for snack last month should be $3.75.

5 packs of snacks x $0.75 = $3.75

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a segmented bar chart was created showing the lunch preference by grade. what percent would the bar for 11th graders show for preferring hotdogs?

Answers

If the 11th graders prefer hotdogs at a rate of 70%, the bar for 11th graders would show 70% percentage.

A segmented bar chart is a graphical representation of data that is divided into different segments. It is typically used to compare different categories of data. In this case, the bar chart is used to compare the lunch preference of different grades. The bar for 11th graders would show the percentage of 11th graders who prefer hotdogs. If 70% percentage of 11th graders prefer hotdogs, then the bar for 11th graders would show 70%. The bar chart can also show the percentage of 11th graders who prefer other lunch options, such as sandwiches, salads, etc. This information can help school administrators to better understand the lunch preferences of their students and make informed decisions about what types of food to serve for school lunch.

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-3(2x - 4) = 18 help pleaseee

Answers

Answer:

x=−1

Step-by-step explanation:

Steps for Solving Linear Equation

−3(2x−4)=18

Divide both sides by −3.

2x−4=

−3

18

Divide 18 by −3 to get −6.

2x−4=−6

Add 4 to both sides.

2x=−6+4

Add −6 and 4 to get −2.

2x=−2

Divide both sides by 2.

x=

2

−2

Divide −2 by 2 to get −1.

x=−1

Answer:

x= -1

Step-by-step explanation:

-3x (2x-4) 18

Distribute

-6x + 12 = 18

Subtract

-6x + 12-12 = 18 - 12

Simplify

-6x = 6

Divide

-6x/-6 = 6/-6

Simplify

x= -1

What are the coordanites of point q

Answers

Answer:

( 1 , 3)

Step-by-step explanation:

i hope this answer helped

A shipping container will be used to
transport several 150-kilogram crates
across the country by rail. The greatest
weight that can be loaded into the
container is 27500 kilograms. Other
shipments weighing 6800 kilograms have
already been loaded into the container.
Write and solve an inequality which can
be used to determine x, the number of
150-kilogram crates that can be loaded
into the shipping container.

Answers

Answer:

x=138

Step-by-step explanation:

Final answer:

The question is a high school Mathematics problem. It involves using inequalities to solve a practical problem about a shipping container's weight limit. The answer found was that a maximum of 138 crates can be added to the container.

Explanation:

In this Mathematics problem, we have a shipping container that can hold a maximum weight of 27500 kilograms and there are already shipments totaling 6800 kilograms inside. We want to find out how many 150-kilogram crates (let's call this number 'x') can be added to the container without exceeding the maximum allowable weight.

Firstly, we build an inequality. The total weight of the container should not exceed 27500 kilograms, so we have:

6800 (the weight of the already loaded shipments) + 150*x (the weight of the x crates) ≤ 27500

This simplifies to:

150*x ≤ 20700 (because 27500-6800=20700)

Finally, to solve the inequality for 'x', divide throughout by 150:

x ≤ 138 (because 20700/150=138)

So, 138 is the maximum number of 150-kilogram crates that can be loaded into the shipping container without violating the weight constraint.

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the extent to which a reesearcher's sample is representative of the population that it was drawn from is called

Answers

The extent to which the researcher can refer that findings with a sample from which it was drawn is referred to as generalizability.

Generalizability refers to the ability to extrapolate study findings from a sample to the entire population. It also refers to the capacity to apply findings from one study to a similar environment in a different investigation.

Generalizability and transferability are two research traits that are related. When considering generalizability in research, there are two features or dimensions to consider: generalizability as it relates to the specific population on which the research is conducted, and generalizability on a global scale.

Such studies will be easier to generalize if the researcher uses adequate sampling approaches, sample sizes, and exact processes.

In general, a study has strong generalizability when the findings apply to a wide range of persons or situations. The study has weak generalizability if the results can only be applied to a subset of the population or in a very specific circumstance.

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A cylindrical container has radius 1 m.
The cylinder contains 628 litres of water.
Calculate depth of water in the cylinder giving your answer in cm
take pi to be 3.14

Answers

Answer:

  0.2 m

Step-by-step explanation:

You want to know the height of a cylinder with 1 m radius and a volume of 628 liters.

Volume

The formula for the volume of a cylinder is ...

  V = πr²h

Using the given values, we have ...

  0.628 m³ = 3.14(1 m)²h

  0.2 m = h . . . . . . . . . divide by 3.14 m²

The depth of the water in the cylinder is 0.2 m.

Divide the rational expressions. Write your answer in its fully
factored form. Look at picture

Answers

Answer:

4m(m+7m) 8(2m+1)

________. x. ______

8(3m+2). 4m(5m-1)

(m+7m). (2m+1)

________. x. ______

(3m+2). (5m-1)

2m2 + 1m + 14m2 + 7m

__________________

15m2 -3m + 10m -2

16m2 + 8m

_________

15m2 + 7m - 2

8m (2m + 1)

__________

(5m - 1) (3m + 2)

Clayton and Iri purchae admiion to a carnival plu a number of game ticket. Clayton purchaed 10 game ticket and pend $19. 50. Iri purchae 15 game ticket and pend $23. 25. Determine tye cot per game ticket

Answers

The combined cost per game ticket is $1.71

In this question we have been given Clayton and Iris purchase admission to a carnival plus a number of game tickets. Clayton purchased 10 game tickets and spend $19. 50.

Iris purchase 15 game tickets and spend $23. 25

We need to determine cost per game ticket.

The total cost of Clayton's game tickets is $19.50 for 10 tickets,

So, by unitary method the cost per ticket is:

= 19.5/10

= $1.95 per ticket.

The total cost of Iri's game tickets is $23.25 for 15 tickets

So, by unitary method the cost per ticket is:

= 23.25/15

= $1.55 per ticket.

The combined cost of all the game tickets is $19.50 + $23.25 = $42.75.

The total number of game tickets purchased is 10 tickets + 15 tickets = 25 tickets.

The combined cost per game ticket would be,

= 42.75 / 25

= $1.71 per ticket.

Therefore, the cost per game ticket = $1.71

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A bag of cat food has 16 1/2 cups of food. Cupcake (the cat) eats 1 1/2 cups a day. How many days will the bag of cat food last?

Answers

Answer:

Step-by-step explanation:

11

What is the biggest misconception about you?*

Answers

I do not have any information about you or your beliefs, experiences, or actions.. I do not have the ability to make judgments or assumptions about you or any other individual, you should provide more context as well as fix the category your question is listed under, you might have better results.

2. A computer technician charges
$75 for a consultation plus $35
per hour

Answers

Answer: y = 35x + 75

Step-by-step explanation:

Let x be the number of hours and y is the total cost

We will have the equation

y = 35x + 75

for how many values of xx in the closed interval [1,11][1,11] does the instantaneous rate of change of ff at xx equal the average rate of change of ff over that interval?

Answers

The average rate of change of a function is said to be a measure of how much the function changed per unit The average rate of change is -100/11

The average rate of change of a function is said to be a measure of how much the function changed per unit, on average, over that interval. It is also said to be derived from the slope of the straight line connecting the interval's endpoints on the function's graph

f(x) over an interval [x1,x2] is given by:

average rate of change = change in y/change in x

= f(x2) − f(x1) / x2−x1

With f(x) = 1/x over [1, 11]

average rate of change = f(11) − f(1) / 11−1

average rate of change = (1/11 − 1) / 10

average rate of change = (−10/11 / 10

average rate of change = −100/11

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Identify the pair of angles shown

A. Same side interior angles
B. Alternate exterior angles
C. Alternate interior angles
D. Corresponding angles

Help!!!
(Picture)

Answers

Answer:

D. Corresponding Angles

Step-by-step explanation:

This is becasue they're both the same angle on the same side

11 If a₁ = 6 and an = 3 + 2(an-1)², then a2 equals
A 147
B 180
C 75
D 900

Answers

The value of the sequence a2 is (c) 75

How to determine the sequence a2

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

a₁ = 6 and an = 3 + 2(an-1)²

Substitute 2 for n in the equation an = 3 + 2(an-1)²

So, we have the following representation

a2 = 3 + 2(a2-1)²

This gives

a2 = 3 + 2(a1)²

Substitute a₁ = 6 in a2 = 3 + 2(a1)²

a2 = 3 + 2(6)²

Evaluate

a2 = 75

Hence, the value of a2 is 75

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if each of seven persons in a group shakes hands with each of the other six persons, then a total of forty-two handshakes occurs.

Answers

Answer:

false

Step-by-step explanation:

Call the persons 1 through 7.

1,2

1,3

1,4

1,5

1,6

1,7

2,3

2,4

2,5

2,6

2,7

3,4

3,5

3,6

3,7

4,5

4,6

4,7

5,6

5,7

6,7

There are 21 handshakes.

1 handshaking 2 is the same as 2 handshaking 1.

6 × 7/2 = 21

Answer: false

Five batch jobs, a through e, arrive at a computer center at essentially the same time. They have an estimated running time of 15, 9, 3, 6 and 12 minutes, respectively. Their (externally defined) priorities are 6, 3,.

Answers

A to E have an estimated running time of 15, 9, 3, 6, and 12 minutes, respectively. Average turnaround time for a quantum of one minute and four minutes is calculated to be 32.2 minutes and 97.4 minutes respectively.

Turnaround time (TAT) is the period of time between when a process is submitted and when it is finished. It can alternatively be viewed as the total of the times spent waiting to execute on the CPU, waiting in the ready queue or memory, and waiting to execute input or output. An essential parameter for assessing an operating system's scheduling algorithms is turnaround time.

a) For each process the turnaround time is

A= 45 minutes    b= 35 minutes

C= 13 minutes     D= 26 minutes

E= 42 minutes

The average time will be

[tex]\frac{45+35+13+26+42}{5} = 32.2 minutes[/tex]

b) For a quantum of 4 minutes

[tex]\frac{19+31+39+42}{5} = 97.4 minutes\\[/tex]

c) The average turnaround time can be calculated to be

[tex]\frac{9+21+36+39+45}{5} = 30 minutes[/tex]

d)The average turnaround time is

[tex]\frac{15+24+27+33+45}{5} = 28.8 minutes[/tex]

e) The average turnaround time is

[tex]\frac{3+9+18+30+45}{5} = 21 minutes[/tex]

Complete question:

Five batch jobs, A through E, arrive at a computer center at essentially the same time. They have an estimated running time of 15, 9, 3, 6, and 12 minutes, respectively. Their (externally defined) priorities are 6, 3, 7, 9, and 4, respectively, with a lower value corresponding to a higher priority. For each of the following scheduling algorithms, determine the turnaround time for each process and the average turnaround for all jobs. Ignore process switching overhead. Explain how you arrived at your answers. In the last three cases, assume that only one job at a time runs until it finishes and that all jobs are completely processor bound.

a) Round Robin with a quantum of one minute b) Round Robin with a quantum of 4 minutes c) Planning for Priority d) FCFS (running in order 15, 9, 3, 6 and 12) e) Shortest Process Next (SPN)

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sketch the vector field f by drawing a diagram like this figure. f(x, y) = yi − xj x2 + y2

Answers

The length vector is 1. So the sketch vector field f is given below. So the option a is correct.

In the given question, the vector field F by drawing a diagram like this figure.

The given vector field F is:

F(x, y) = (yi + xj)/√(x^2 + y^2)

We can write the vector field as:

F(x, y) = yi/√(x^2 + y^2) + xj/√(x^2 + y^2)

Here

F(x, y) = [y/√(x^2 + y^2)]^2 + [x/√(x^2 + y^2)]^2

F(x, y) = y^2/(x^2 + y^2) + x^2/(x^2 + y^2)

F(x, y) = (y^2+ x^2)/(x^2 + y^2)

F(x, y) = 1

F(0, y) = y/|y| = ±1

F(x, 0) = x/|x| = ±1

So the length vector is 1.

So the sketch vector field f is given below:

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The complete question is:

Sketch the vector field F by drawing a diagram like this figure.

F(x, y) = (yi + xj)/√(x^2 + y^2)

The cable company has yearly projections for an increase in the cost of cable a customer must pay. The monthly increase is represented by x^2-16x+64=0x2
−16x+64=0, where x is the amount of increase in dollars per month. What will be the monthly increase for all of the cable customers?

Answers

The amount of monthly increase will be 8$

What is Quadratic Equation?

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.

Solution:

Given Equation is x² - 16x + 64 = 0

Using the formula method we will first find the discriminant

D = b² - 4ac

D = 256 - 256 = 0

x = -b +- √D / 2a

x = 16/2 = 8

x = 8

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A table of values of a linear function is shown below. Find the output when the input is n Type your answer in the space provided.

Input 1 2 3 4 n
Output -7 -9 -11 -13

Answers

Answer:

Step-by-step explanation:

Input: 1, 2, 3, 4, 5

Output: -7, -9, -11, -13

To get the output you'd add -2 each time. -7+(-2) is -9. -9+(-2)=-11. -11+(-2)=-13. And because it keeps on increasing like this the n should be 5. Because the output keeps increasing by the same value the input should too. It's increasing by 1.

( not sure if this is what you wanted us to answer)

Answer:

When the input is n then the output is  - 5 - 2n

---------------------------

Using table, put the output values as a sequence:

-7, -9, - 11, - 13, ...

We see the first term is -7 and the common difference is - 2.

The nth term would be:

t(n) = - 7 + (- 2)(n - 1) t(n) = - 7 - 2n + 2t(n) = - 5 - 2n

if the sides of a square are increasing at a rate of 3 in/sec, at what rate is the area increasing when the edges are 10 in?

Answers

Answer:

Below

Step-by-step explanation:

Square area = s^2

    ds/dt = 3

Area = s^2      Find the derivative with respect to t of both sides

area/dt = 2s ds/dt

                    = 2 (10)(3)  = 60 in^2   per sec

             

HELP PLEASE!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

In order to answer this question, we need to know what PEMDAS stands for.

Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.

Now using this order, we can solve.

There isn't any parenthesis.

There is an exponent, [tex]5^{3}[/tex].

Let's solve this.

5 × 5 × 5 = 125

Our equation now looks like this:

125 + 28 ÷ 7 - 1

There isn't any multiplication for us to solve.

There is division.

28 ÷ 7 = 4

Now our equation looks like this:

125 + 4 - 1

Now it's time for addition.

125 + 4 = 129

Now our equation looks like this:

129 - 1

Now all we need to do is subtraction.

129 - 1 = 128

The final answer is 128.

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select all the ways in which romantic composers expressed nationalism in their music. multiple select question. folksongs history of foreign lands legends dances you have developed a new computer operating system and are considering whether you should enter the market and compete with microsoft. microsoft has the option of offering their operating system for a high price or a low price. once microsoft selects a price, you will decide whether you want to enter the market or not enter the market. if microsoft charges a high price and you enter, microsoft will earn $30 million and you will earn $10 million. if microsoft charges a high price and you do not enter, microsoft will earn $60 million and you will earn $0. if microsoft charges a low price and you enter, microsoft will earn $20 million and you will lose $5 million. if microsoft charges a low price and you do not enter, microsoft will earn $50 million and you will earn $0. Contruct a payoff table and find the Nash equilibrium if you and microsoft both make your decisions simultaniously. In a simultaneous move game, Microsoft will and you will:___________- in simultanious move game, micorosoft will (charge a high price / charge a low price?) and you will ( not enter the market / enter the market?)- now suppose that micoroft selects a price first (cant attach the question) you will enter (cant attach the question) tree for this squential move game. this part is not graded, but you will need to make the game tree on your own to answer the following question mcdougal products is considering the purchase of new equipment to place in its factory. the equipment would cost $365,000, have a ten-year useful life and a salvage value at the end of its useful life of $65,000. the company estimates that annual revenues and expenses associated with the equipment would be as follows: the payback period of the new equipment is closest to: If these represent distances in meters, thenew (resultant) vector could be written as5 m W5 m E11 m W11 m E Highlight the syllables that are naturally stressed to create iambic meter in this line of poetry.Prate not of thy repentance. But believe find f. f '(t) = 16 1 + t2 , f(1) = 0 (Help I'll Give 50 points!) What contributed to the decline of the Indus Valley civilization?Select all correct answers.ResponsesThe surrounding land was severely deforested.The surrounding land was severely deforested.Indus Valley populations migrated to Central Asia and Africa.Indus Valley populations migrated to Central Asia and Africa.Diseases reduced the population.Diseases reduced the population.Volcanic eruptions covered the land with molten lava.Volcanic eruptions covered the land with molten lava.Centuries of floods made the soil salty and unfit for farming. This is what southern democrats managed to achieve after the 1876 election. It allowed them to restrict African-American rights, cut taxes, and wipe out social programs. What challenges faced the CHRISTIAN church in the 14th century, and how did church leaders, intellectuals, and ordinary people respond? Write theequation of the line thatpasses through the point (3,-1) and has a slope of2 which of the following is true about sampling distributions? 1 point sampling distributions get closer to normality as the sample size increases. sampling distribution of the mean is always right skewed since means cannot be smaller than 0. sampling distributions are always nearly normal. shape of the sampling distribution is always the same shape as the population distribution, no matter what the sample size is. lola is a typically developing 10-month-old. at which phase of attachment development is lola most likely currently operating? group of answer choices linda calls a cab in the morning to get to work. the fare that linda would pay to the cab is: selected financial statement data for schmitzer inc. is shown below: 2021 2020 balance sheet: inventories 61,000 49,000 ratios: gross profit ratio for 2021 45 % inventory turnover ratio for 2021 4 what was the amount of net sales for 2021? in defining a distribution strategy, a company must consider the importance of channel intermediaries including: group of answer choices Interest earned and notes receivable collected _______ the bank account.O A. are added toOB. are both added to and deducted fromOC. are deducted fromOD. are not added to or deducted from how did willy treat the boys when they were young? how did they act toward him? how did willy feel about charley and bernard (in the past)? (29-34 moss company selected balance sheet information at december 31 2020 2019 current assets cash $ 94,650 $ 36,800 accounts receivable 35,000 52,000 inventory 70,000 56,100 current liabilities accounts payable 50,400 35,700 income taxes payable 3,050 4,200 moss company income statement for year ended december 31, 2020 sales $ 584,000 cost of goods sold 371,600 gross profit 212,400 operating expenses (excluding depreciation) 132,000 depreciation expense 56,000 income before taxes 24,400 income taxes expense 13,300 net income $ 11,100 Use the information above to calculate this company's cash flows from operating activities using the indirect method. (Amounts to be deducted should be indicated by a minus sign.) Fact Pattern: The chief audit executive (CAE) of a mid-sized internal audit activity was concerned that management might outsource the internal auditing function. Thus, the CAE adopted a very aggressive program to promote the internal audit activity within the organization. The CAE planned to present the results to senior management and the board and recommend modification of the internal audit activitys charter after using the new program. The following lists six actions the CAE took to promote a positive image within the organization:1. Engagement assignments concentrated on efficiency. The engagements focused solely on cost savings, and each engagement communication highlighted potential costs to be saved. Negative observations were omitted. The focus on efficiency was new, but the engagement clients seemed very happy.2. Drafts of all engagement communications were carefully reviewed with the engagement clients to get their input. Their comments were carefully considered when developing the final engagement communication.3. The information technology internal auditor participated as part of a development team to review the control procedures to be incorporated into a major computer application under development.4. Given limited resources, the engagement manager performed a risk assessment to establish engagement work schedule priorities. This was a marked departure from the previous approach of ensuring that all operations are evaluated on at least a 3-year interval.5. To save time, the CAE no longer required that a standard internal control questionnaire be completed for each engagement.6. When the internal auditors found that the engagement client had not developed specific criteria or data to evaluate operations, the internal auditors were instructed to perform research, develop specific criteria, review the criteria with the engagement client, and, if acceptable, use them to evaluate the engagement clients operations. If the engagement client disagreed with the criteria, a negotiation took place until acceptable criteria could be agreed upon. The engagement communication commented on the engagement clients operations in conjunction with the agreed-upon criteria.Regarding Action 6, which of the following elements of the action most likely would have rendered it inappropriate if omitted?answer choicesSeek agreement with the client about the criteriaDeveloping a set of criteria to present to the engagement client as a basis for evaluating the engagement clients operationsCommenting on the agreed-upon criteriaAll of the answers are correct Clayton and iri purchae admiion to a carnaval plu a number of game ticket. Clyton purchae 10 game ticket and pend $19. 50 iri purchae 15 game ticket and pend $23. 25. Determine the cot per game ticket?