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help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Help Meeeeeeeee Pleaseeeee Rn Rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help Meeeeeeeee Pleaseeeee Rn Rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help

Answers

Answer 1

The number of bicycles that must be manufactured to minimize the cost of 250 and the minimum cost is $11,500.

In the given question,

The cost C in dollars of manufacturing x bicyles at a production plant is given by the function shown below;

C(x) = 3x^2-1500x+199,000

(a) In the given question we have to find the number of bicyles that must be  manufactured to minimize the cost.

The given function is

C(x) = 3x^2-1500x+199,000

To find the maximum or minimum value we firstly find the value of f'(x).

C'(x) = 6x-1500

Now put f'(x)=0

6x-1500=0

Add 1500 on both side, we get

6x=1500

Divide by 6 on both side we get

x=250

Hence, the number of bicycles that must be manufactured to minimize the cost of 250.

(b) Now finding the value of function at x=250

C(250) = 3(250)^2-1500*250+199,000

C(250) = 3*62,500-375,000+199,000

C(250) = 187,500-375,000+199,000

C(250) = 11,500

The minimum cost is $11,500.

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Related Questions

Which of the following sets is equal to {1, 2, 3, ...}?

Answers

The set which is equivalent and equal to the given set; {1, 2, 3, ...} is; Z+.

Which set is equivalent to the given set?

It follows from the task content that the set which is equivalent to the given set; {1, 2, 3, ...} is to be determined.

Since the numbers in the set are all integers and which happen to be positive integers.

Hence, the best representation of a set which is equivalent to the given set as given in the task content is; Z+.

The set of positive integers is represented as Z+. It implies all the integers greater than 0.

Hence, the set which is equivalent to the given set; {1, 2, 3, ...} is; Z+.

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Determine which set of side measurements could be used to form a right triangle.

square root of 19 comma square root of 35 comma 54
square root of 15 comma 6 comma square root of 51
5, 8, 30
5, 6, 7

Answers

Answer:

Square root 19 comma, 5,8,30

Answer:5,8,30

Step-by-step explanation: i took a test

Jackson buys 60 books at £3 each.
He sells 35 of these at £8 each and
the remainder at £4 each. What
percentage profit does he make
(give the answer to the nearest
whole number).

Answers

Answer:

111%

Step-by-step explanation:

£3 × 60 = £180

(35 × £8) + ( 25 × £4) = £380

£380 ‐ £180 = £200

200/180 × 100% = 111% (nearest whole number)

From the diagram below, choose the correct letter for each of the
following parts of a circle:
a) a major arc
b) a minor sector
c) a major segment
A
B
D
✓ Scroll down
E

Answers

From the diagram, A is the major arc

                               B is the minor sector

                               C is the major segment.

What do you mean by major arc, minor sector, and a major segment of a circle?

      1. Major arc: A significant arc is one that is larger than 180 degrees in measure.

      2. Minor sector: A circle's intercepted arc and two of its radii define a region known as a sector. The center angle is the intersection of the two radii. A minor sector is defined as having a center angle of less than 180°.

The major arc is A significant arc is one that is larger than 180 degrees in measure. So, A is the major arc. The minor sector is defined as having a center angle of less than 180°. So, B is the minor sector. And C has the maximum portion of length so C is a major segment.

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a new car model is available with 5 choices of color, 3 choices of transmission and 4 types of interior. how many different variations of this model car are possible?

Answers

In 120 different variations of this model car are possible.

Define multiplication.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical size. Let's use the ice creams as a multiplication example to help us comprehend. There are two such groupings, and each group has ice cream.

Calculating the sum of two numbers multiplied together is the process of multiplication. Simple tests in addition, subtraction, multiplication, and division will be given. 2. a noncount noun The process or occurrence of something of a certain kind multiplying occurs when their quantity or number increases.

Given,

There are five different ways to choose a car's color.

3 different car transmission selection options are available.

There are four different interior automobile selection options.

There are two different ways to pick a car's engine.

The potential number of car variations is thus:

Multiplying:

5 × 3 × 4× 2

120

In 120 different variations of this model car are possible.

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a group of 1,000 randomly selected adults is classified into 4 smoking groups: nonsmoker, light smoker, moderate smoker, and heavy smoker. at the end of a ten-year period, the proportion in each group who developed lung cancer was determined. the null hypothesis is that all 4 groups will have the same incidence rate of lung cancer. the p-value is found to be smaller than the level of significance (i.e. smaller than .05). what is the most appropriate conclusion?

Answers

The null hypothesis is rejected thus there is a significant difference in the incidence of lung cancer in all four groups.

When the p-value is less than 0.05, the null hypothesis that there is no difference between the means is rejected, and we come to the conclusion that there is a significant difference. The existence of a significant difference cannot be inferred if the p-value is higher than 0.05.

The null hypothesis in the given scenario was that all four groups will have the same incidence rate of lung cancer which is rejected.

An assertion that there is no correlation between two population measures is referred to as a null hypothesis. To prepare the ground for additional experimentation or study that explains the position of interest, researchers reject or refute the null hypothesis.

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Heidi thinks the rule for the table below is y = x + 3.
Is she correct?
X
-2
-1
0
1
2
y
-7
-4
-1
2
5

Answers

Heidi is wrong.

If you substitute the x in y= x + 3 with the x values given at the table, you get different answers than the ones given on the table for the most part.

-2 + 3 equals 1 not -7

-1 + 3 equals 2 not -4

0 + 3 equals 3 not -1

1 + 3 equals 4 not 2

2 + 3 equals 5. This is the y value in the table. But for y= x + 3 to be the rule, the y value in the table and the y value we get from substituting the x value into y= x + 3 would have to be correct every time

The total number of participants who went on the seventh-grade field trip to the Pink Palace consisted of all of the seventh-grade students and 19 adult chaperones. Two-thirds of the total participants rode a large bus, and the rest rode a smaller bus. If 104 people rode the larger bus, how many students went on the field trip? Write your answer below as a single integer.

Answers

The number of students that went on the field trip is 137.

How many students went on the field trip?

Let s represent the number of seventh grade students that went on the field trip.

Total number of participants = number of students + number of teachers

a + 19

Number of participants that rode the larger bus : 2/3 x (a + 19) = 104

In order to determine the value of a, take the following steps:

Multiply both sides of the fraction by 3 / 2

a + 19 = 104 x 3 / 2

a + 19 = 156

Subtract 19 from both sides of the equation:

a = 156 - 19

a = 137

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Could anyone solve this please.

Answers

Answer:

135 degrees

Step-by-step explanation:

a triangle rule is sum of all three angles equal 180

We know one angle of the triangle angle is 45 degrees because of the corresponding angle below it

So we just subtract 45 from 180

180-45=135

hopes this helps please mark brainliest

Write equivalent fractions for 11/12 and 5/6 using least common denominator.

Type the fractions using a slash ( / ) to separate the numerator and denominator.

11/12 =

5/6 =

Answers

5/6 x 2/2 = 10/12
5/6 = 10/12

please help me with this problem!!

Answers

An equation is a collection of variables and constants. The value of x and y for the system of the equation as -2x - 4y = -18 and x = y will be x = 3 and y = 3.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given system of equations,

-2x - 4y = -18 and x = y

Substitute, x = y

-2(y) - 4y = -18

-6y = -18

y = 3 and x = 3

Hence "The value of x and y for the system of the equation as -2x - 4y = -18 and x = y will be x = 3 and y = 3".

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A biology class examined some flowers in a local meadow. They saw 60 flowers, of which 70% were perennials. How many perennial flowers did the students see?

Answers

The number of perennials flower from 60 flowers seen by the students with of which 70% were perennials flowers is 42.

What is perennial flower?

Perennials Flowers are plants that live more than two years.

To calculate the amount of perennial flowers seen by the students, we use the techniques of percentage.

Using the formula,

P = N(q)/100............. Equation 1

Where:

P = Number of perennial flowers seen by the studentsN = Total number of flowers seenq = Percentage of perennials flowers from the total number of flowers seen.

From the question,

Given:

N = 60 flowersq = 70%

Substitute these values into equation 1

P = (60×70)/100P = 42.

Hence, the number of perennials flower is 42.

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Given that x is a nonnegative number, a student conjectured that x+4
Which value of x is a counterexample to the student's conjecture?

Responses

A. ​ x=−1/4 ​
(x equals negative one fourth)

​B. ​ x=−4 ​ ​

C. x = 1

D. x = 4

Answers

The value of x that is a counterexample to the student's conjecture is (a) x = -1/4

How to determine the value of x?

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

x = Non-negative number

Student's conjecture:

x + 4 < x²

Using the options, we have:

(a) x = -1/4

x + 4 < x²

-1/4 + 4 < (-1/4)²

3.75 < 1/16 -- false

(b) x = -4

x + 4 < x²

-4 + 4 < (-4)²

0 < 16 -- true

(c) x = 1

x + 4 < x²

1 + 4 < (1)²

5 < 1 -- false

This cannot be used because x is non-negative

(c) x = 4

x + 4 < x²

4 + 4 < (4)²

8 < 16 -- true

The false statements are the counterexamples

Hence, the value of x is (a) x = -1/4

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Complete question

Given that x is a nonnegative number, a student conjectured that x + 4 < x². Which value of x is a counterexample to the student's conjecture?

Responses

A. ​ x=−1/4 ​

​B. ​ x=−4 ​ ​

C. x = 1

D. x = 4

Two cars start at the same point and simultaneously drive in opposite directions.
The speed of the first car is s miles per hour. The speed of the second car is 5
miles per hour less than the speed of the first car.
How far apart are the cars 1.5 hours after they start moving?

Answers

Answer:

3s - 7.5 miles

Step-by-step explanation:

Given

The speed of car1 is s,The speed of car2 is 5 less than s,Time is 1.5 hrs.

Solution

Distance equation:

Distance = speed * time

If cars move in opposite directions their speeds add up, then the distance between them after 1.5 hours is:

(s + s - 5)*1.5 = (2s - 5)*1.5 = 3s - 7.5

Answer:

After 1.5 hr, they are 3s - 7.5 mi away.

Step-by-step explanation:

Forming the expression,

→ 1.5 × (s + s - 5)

Now the required solution will be,

→ 1.5 × (s + s - 5)

→ 1.5 × (2s - 5)

→ 1.5(2s - 5)

→ 3s - 7.5

Hence, answer is 3s - 7.5 miles.

Look at this graph:

What is the slope?

Answers

Answer:

4/3x

Step-by-step explanation:

in a class of 20 students, there are two students a and b. what will be the probability of selecting these two students randomly?

Answers

The probability of selecting two students (a and b) randomly is found as 1/380.

What is referred as the word probability?The study of random experiments is what aids in determining the likelihood of an event.The study of probabilities, which are determined by the ratio of favorable cases to possible cases, is known as probability.

The formula for evaluating the Probability is-

Probability = Favourable outcomes / Total outcomes.

As, per the given question.

Total number of students = 20.

The probability for selection of 'a' is 1/20.

Now, the total students left is 19.

Thus, the probability for selection of 'b' is 1/19.

The total probability for selection of both is -

Probability(a and b) = 1/20×1/19

Probability(a and b) = 1/380

Thus, the probability of selecting two students ( a and b) randomly is found as 1/380.

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why do we use the pooled proportion when we calculate the standard error for the difference in proportions when performing a hypothesis test?

Answers

we use the pooled proportion when we calculate the standard error for the difference in proportions when performing a hypothesis test  whne When the variances of both populations are the same

The standard error for the distinction within the proportions is calculated utilizing the population proportions but in cases where the population proportions are unknown, we utilize the test proportions to calculate the standard error. In the case of hypothesis testing, we are mindful of the population proportions whereas in evaluating the confidence interval for the distinction between the proportions we have no thought of the population proportions. So, the standard error for a hypothesis test of distinction in two proportions is distinctive from the standard error for a certain interval of the difference in two proportion.

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This shows a diagram.


What is the value of x?

Answers

Step-by-step explanation:

[tex](3x + 2) + x = 180 \\ 3x + x = 180 - 2 \\ 4x = 178 \\ x = 44.5[/tex]

Answer:

x° = 44.5°

Step-by-step explanation:

x° and (3x + 2)° are supplementary angles, which means they add up to 180°.

Equation: x + 3x + 2 = 180

Step 1: Combine like terms.

[tex]\implies 4x + 2 = 180[/tex]

Step 2: Subtract 2 from both sides.

[tex]\implies 4x + 2 - 2 = 180 - 2[/tex]

[tex]\implies 4x = 178[/tex]

Step 3: Divide both sides by 4.

[tex]\implies \dfrac{4x}{4}=\dfrac{178}{4}[/tex]

[tex]\implies x = 44.5[/tex]

Step 4: Substitute 44.5 as the value of x in (3x + 2) to find its measure.

[tex]\implies 3(44.5)+2[/tex]

[tex]\implies 135.5[/tex]

Therefore, the measure of x° is 44.5°, and the measure of (3x + 2)° is 135.5°. Together, they add up to 180°.

solve for x and y
picture provided ​

Answers

The value of x will be 15 and the value of y will be 4.

What is the similarity?

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

Here in the image, we have a triangle having sub-triangles. The value of x is calculated by considering two right-hand triangles.

x / ( x + 5 ) = 18 / ( 18 + 6 )

x / ( x + 5 ) = 18 / 24

24x = 18x + 90

6x = 90

x = 15

The value of y will be calculated by considering the two left-hand triangles.

12 / ( 12 + y) = 15 / 20

240 = 180 + 15y

15y = 60

y = 60 / 15

y = 4

Therefore, the value of x will be 15 and the value of y will be 4.

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an educational psychologist wanted to know the effects of four different methods of teaching arithmetic. using 12 classrooms, each method was used in the classes. at the end of the school year, all the pupils took the same achievement test, and the means for groups receiving different methods were compared. answer the following questions about the study. a. what was the dependent variable? b. what was the independent variable? c. what was a controlled variable? d. give an example of a parameter.

Answers

The dependent variable depends on a particular situation. The independent variable does depends on the result of an experiment. The controlled variable is a variable whose value is constant.

What is dependent variable?

The variable being measured or tested in an experiment is known as the dependent variable. The results of the participants' tests, for instance, since that is what is being measured, would be the dependent variable in a study looking at how tutoring affects test scores.

What is independent variable?

This isn't the same as an experiment's independent variable, which is a variable that can stand on its own. Tutoring would be the independent variable in the aforementioned case. The dependent variable (test results), however, may alter depending on the independent variable (tutoring).

What is controlled variable?

Anything kept constant or constrained in a research study is referred to as a control variable. Despite not being relevant to the study's objectives, this variable is controlled because it might have an impact on the results.

Numbers called parameters are used to define the characteristics of entire populations. Statistics are numerical representations of sample characteristics. One population parameter is the average income in the United States.

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Me ayudan porfavor 2 trinomios cuya diferencia sea 4x²-7x+5

Answers

Answer:

Δ = b² - 4ac

Step-by-step explanation:

do math

How will you solve problems involving equations of circles and coordinates?
NEED ASAP

Answers

An equation is a mathematical statement showing the equality of two

opposite variables

How to determine the equation of the circle using coordinates?

The equation of a circle is determined by the function r²=(x-x1)² +(y-y1)²

where :

(x1,y1,) marks the centre of the circlex,y marks the points on the circumference of the circumference of the circler marks the radius of the circle

then, the last thing is to write the equation of the circle and input the values of the coordinates to arrive at your answer,

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I fill the 42 l tank in my car and take a 360 km trip. if my car consumes gasoline at a rate of 8 l per 100 km, how much farther can i go before i run out of gasoline?

Answers

Using the principle of proportional relationship, you can go 165km farther after the trip of 360km with 42L gasoline in the tank.

Consumption rate =[tex]8L[/tex] for [tex]100 km[/tex]

So, per  number of Km per Litre is

[tex]8L = 100km[/tex]

[tex]1 L = x[/tex]

so,

[tex]8x = 100[/tex]

[tex]x=8 \div 100\\[/tex]

[tex]x= 12.5[/tex] kilometer per Litre

Number of kilometers for [tex]42 L[/tex]

[tex]12.5 km = 1 L[/tex]

[tex]y=42L[/tex]

On, Cross multiplying

[tex]y = 12.5\times42[/tex]

[tex]y = 525 km[/tex]

The difference in the distance [tex]= 525 - 360 = 165 km[/tex]

Therefore, the gas can go for a further [tex]165 km[/tex]

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a survey showed that a family of four spends an average of $215.60 per day while on vacation. suppose a sample of 64 families of four vacationing at niagara falls resulted in a sample mean of $252.45 per day and a sample standard deviation of $74.50. a. develop a 95% confidence interval estimate of the mean amount spent per day by a family of four visiting niagara falls. 9 pts. b. based on the confidence interval from part (a), does it appear that the population mean amount spent per day by families visiting niagara falls differs from the mean reported by the survey? explain. 1 pt.

Answers

The confidence interval is (233.8436; 271.0564).

What is a confidence interval?

The likelihood that a population parameter will fall between a set of values for a specific percentage of the time is referred to as the confidence interval. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

What is the margin of error?

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings.

We have,

Sample mean = 252.45

Sample standard deviation = 74.50

n = 64

α = 0.05

By applying the margin of error formula, we get

Margin of Error = tα/2 * s/√n

df = n - 1 = 64 - 1 = 63

t(α/2, df = 63) = 1.998

Margin of Error = 1.998 * 74.50/√64

Margin of Error = 18.6064

The confidence interval = 252.45 ± 18.6064

= (233.8436; 271.0564)

Hence, the confidence interval is  (233.8436; 271.0564).

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How would you write the work to get the answer to the problem your neighbor pays you $20 every two hours you work you work for eight hours on saturday how much does your neighbor owe you

Answers

The neighbour us an amount of $160 for the work that we did for him.

As per the agreement the never will pay 20 dollars were every hour that we work.

We worked for a total of 8 hours on Saturday.

So, according to the unitary method,

Total amount of money owned by the neighbour = number of hours for which we work x the amount received for working per hour.

Total amount of money owned by the neighbour = 8 × 20

Total amount of money owned by the neighbour = 160 dollars.

The total amount of money owned by the neighbour to us is 160 dollars.

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Can someone pls give me the answer to this???

Answers

Answer:

By comparing both the figures there is a difference of 6

[tex]x + 1 = 24 - 6 \\ x = 24 - 6 - 1 \\ x = 17[/tex]

a plane has a cruising speed of 250 miles per hour when there is no wind. at this speed, the plane flew miles with the wind in the same amount of time it flew miles against the wind. find the speed of the wind.

Answers

The speed of the wind is 50 mph.

Define speed.

Speed, expressed in terms of meters per second, is the rate at which an object's position changes. A thing moves one metre in one second, for instance, if it starts at the origin and moves three metres in three seconds. The formula for speed is as straightforward as dividing a distance by a time.

Given,

250 mph for the plane's speed when there is no wind

v is the wind speed.

Think about how the plane will move against the wind:

V' = the rate of flight of the aircraft against the wind = V + v = 250 + v

300 miles is the distance travelled in d'.

T is the passage of time over the distance.

The distance's travel time is specified as

t' = d'/V'

t' = 300/(250 + v) eq-1

Think about how the plane moves when flying against the wind:

V" is the speed of a plane travelling against the wind and equals V - v. This equals 250 - v.

D" = 200 miles of distance travelled

t" is the passage of time over the distance.

The distance's travel time is specified as

t'' = d''/V''

t'' = 200/(250 - v) eq-2

Due to this:

travelling time of 300 time required to drive 200 miles in miles

t' = t''

using eqs 1 and 2

300/(250 + v) = 200/(250 - v) (250 - v)

3/(250 + v) = 2/(250 - v) (250 - v)

750 - 3 v = 500 + 2 v

5 v = 250

v = 50 mph

The speed of the wind is 50 mph.

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Find the slope of the line. Write your answer in simplest form.
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

0,3

Step-by-step explanation:

it between the 2 and it is negative and positive cases in the -2

A study of interior designers' opinions with respect to the most desirable primary color for executive offices showed that: What is the probability that a designer does not prefer red? 1.00 0.77 0.73 0.23

Answers

The probability that a designer does not prefer red is 0.77.

Define the meaning of the term probability?Probability is synonymous with possibility. It is a mathematical branch that deals with both the occurrence of something like a random event. The value varies from 0 to one. Probability has just been introduced in mathematics to predict the likelihood of occurrences occurring.

Probability (event) = favorable outcome / total outcome

Total primary color designers = 400.

The number of opinions for red = 92

The probability for designer prefer red = 92 /100

The probability for designer prefer red = 0.23

Then, the probability that a designer does not prefer red = 1 - 0.23

The probability that a designer does not prefer red = 0.77

Thus, the probability that a designer does not prefer red color = 0.77.

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The correct question along with table is attached-

Which of the following statements about the box-and-whisker plot below is true?
10 20 30
40
70 80 90 100 110 120 130 140 150
There are more data points in the upper two quartiles than in the lower two quartiles.
There are more data points inside the data box than are in the outside the data box.
The midrange of the data set shown is 85.
The midrange of the data set shown is 55.
50 60

Answers

The midrange of the data set shown is 85 is true about the box-and-whisker plot below. The middle is the number in question. The least and greatest values should be added together, divided by two, or, in other words, the mean of the least and biggest values should be determined.

How do you find the midrange on a box and whisker plot?It is also helpful to know the number that lies halfway between the data set's lowest and highest values. The middle is the number in question. The least and greatest values should be added together, divided by two, or, in other words, the mean of the least and biggest values should be determined.so,The midrange of the data set shown is 85midrange: Divide by two the sum of the highest and lowest values. 125 is the range. The middle number is 82.5.The difference between the greatest and smallest numbers called the range. The midpoint represents the mean between the largest and lowest number.

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an adjustable rate mortgage with a start rate of 3.5%, an index of the 11th district cofi, a margin of 1.5%, and periodic and lifetime caps of 1/5 with semi-annual adjustments, would have a maximum interest rate of what at the end of the fourth loan year if 11th district cofi is 7.5% at that time? recall that festinger and carlsmith (1959) paid participants either $1 or $20 to tell another person that a boring, tedious task was really fun and interesting. the results of their experiment demonstrated that What is the key landform thatis greatly affecting HOWpeople live in Greece? Each bag of grass seed covers 55 squareyards. How many bags of grass seed willSasha need to purchase to cover herbackyard?38 yd28 yd For a 14-person team, how does the actual weekly labor cost compare to the target?$15 over target $300 over target $600 over target$1,800 over target $6,000 over target which is not a step to prevent your car from being stolen? park in areas that are not traveled much. always lock all doors. don't leave any valuables in sight. install tapered interior door lock buttons What is the SLOPE?Which is the slope of a line that is perpendicular to the line that passes through the points (-9,-4) and (3,4)? Type your response as an integer or fraction. What are some social contracts you expirenced or see in your life How do I get this thing in the right order, including the indentation? During the French and Indian War, the British and the French fought for control of A. the Louisiana Territory. B. the Southwest. C. the Pacific Northwest. D. the Ohio River Valley. in the country of united states of heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.4 inches, and standard deviation of 1.2 inches. what is the probability that the height of a randomly chosen child is between 50.5 and 53.7 inches? do not round until you get your your final answer, and then round to 3 decimal places. Describe the motivation behind the assassination of Archduke Francis Ferdinand. Was it done with the desire of starting a war? will give u brainliest! do you think buck story is a sad one or a happy one the nurse is providing care for a client whose history of intimate partner violence has resulted in posttraumatic stress disorder (ptsd). the client has few friends and states that the client is estranged from the client's family. how can the nurse best enhance the client's social support? generally speaking, hr departments should be able to improve their performance by combining which two elements? On May 1st, the temperatures at midnight in five European cities weremeasured and the results were as follows.Glasgow 2C,Nice 6C,Berlin 0C,London 4C, Oslo -3CList the cities in order of the temperature at midnight, starting with the lowest. Alan travels eight and two thirds kilometers to get to school. He ran one and ten elevenths kilometers and walked the rest. How many kilometers were left to walk? (4 points) asix and two thirty thirds kilometers bfive and twenty five thirty thirds kilometers csix and twenty five thirty thirds kilometers dsix and twenty thirty thirds kilometers A solution is prepared by dissolving sodium benzoate and benzoic acid in water to give a 9 mmol/litre concentration of each compound. The mixture has a pH of 4.21 at 25oC. Calculate the acid dissociation constant of benzoic acid, Ka.Hint:pH = pKa + log10 [sodium benzoate] / [benzoic acid] JaRhondaLyn bought a Nissan Sentra about 4 years ago. Her car depreciates at a rate of 7% annually. The current value of her Nissan is 4 $18,701.30. What was the value of her car when she first purchased it?PLEASE SHOW ME THE STEPS!!!THANK YOU VERY MUCH!!!