If a triangle has side lengths 27, 79, and 84 is it a right triangle

Answers

Answer 1

Answer:

Nope

Step-by-step explanation:

A right triangle must have a 90 degree angle.


Related Questions

What kind of solution is x(5 - 2) = 4x - x

Answers

Answer:

x=x or it cancels out, it's one of those.

infinitely many solutions
X(5-2) = 4x-x
5x-2x=4x-x
3x=3x

In the problems below, f(x) = log₂x and
g(x) = log₁₀x
Which point do the graphs of f and g have in common?

Answers

Answer:

(1,0)

Step-by-step explanation:

The given functions are:

f(x) = log₂x

and

g(x) = log₁₀x

We know that logarithm of 1 is always zero.

This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1

Therefore the point the graphs of f and g have in common is (1,0)

Answer:

B,C

(1,0)

F

Step-by-step explanation:

Juliet paid $3.84 in sales tax on an item that cost $48.00 before tax. At that rate, how much would she pay in sales tax for an item that costs $55.00 before tax?

Answers

Answer:

Step-by-step explanation:

3.84 is what percent of 48

(3.84 / 48) * 100 = 0.08 * 100 = 8% tax rate

for an item that is $ 55

8% of 55 = 0.08 * 55 = $ 4.40 <=== sales tax

Find the missing number:
QUICKLY PLEASE

Answers

Answer:

10

Step-by-step explanation:

At the beach, Malia measured the footprints of the people who passed by. The line plot displays the length of each footprint. What fraction of the footprints measure more than afoot?

Length of Footprints

Answers

Answer:

still need the answer g?

kim's hourly wage is $14. she works 37 hours per week. what is her weekly income? what is her monthly income?kim can pay at most 30% of her income on rent. what is the most she can pay for rent every month?​

Answers

Answer:

Weekly income = $518

Monthly income = $2072

Rent = $621.6

Step-by-step explanation:

$14 per hour

37 hours per week

37 × 14 = $518

There is about 4 weeks in a month.

$518 × 4 = $2,072

30% of $2,072 = $621.6

Step-by-step explanation:

Kim's weekly income can be found by multiplying her hourly wage to the number of hours she works per week.

So, we have $14 * 37 = $518 weekly income.

Let's assume that Kim gets paid bi-weekly like most jobs, so she'll get paid twice a month usually, ignoring all holidays and other exceptions.

So, we have her weekly income and we are assuming she gets paid bi-weekly per month. So, we need to make her weekly income into a bi-weekly income. We just double her weekly income.

$518 * 2 = $1036 bi-weekly.

Now, we know are assuming she gets paid twice a month, so we need to double her income one more time.

$1036 * 2 = $2072 monthly income.

Now, we have her monthly income, but she can only pay 30% of it towards rent. So, we got to find out what is 30% of $2072.

There are a couple of ways to do this, but the most efficient way is to multiply $2072 by .3

So, $2072 * .3 = $621.60

She can only have $621.60 go towards rent. Hope this helps!

GIVING BRAINLIEST Write a proportion that could be used to solve for each variable. Then solve. d dollars for 18.4 quarts 24 dollars for 6 quarts a. 24/d = 18.4/6; d = 7.8 c. d/24 = 18.4/6; d = 73.6 b. d/24 = 18.4/6; d = 72 d. d/24 = 6/18.4; d = 8

Answers

Answer:

Hello, I think your answer is d/24 = 18.4/6

Hope This helps

A shipping container is in the shape of a right rectangular prism with a length of 8 feet, a width of 3.5 feet, and a height of 14.5 feet. The container is completely filled with contents that weigh, on average, 0.65 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?

Answers

Answer:

Volume = 8 * 3.5 * 14.5 =

406 cubic feet

.65 pounds / cubic foot * 406 =

263.9 pounds

Step-by-step explanation:

Answer:

264 pound if you had to round it

Step-by-step explanation:

Is it undefined? I'm not sure.​

Answers

Answer:

no

Step-by-step explanation:

the line has a value which is y=7

Answer: Zero slope

Step-by-step explanation: A common mistake made by many students is to confuse what no slope is and what zero slope.

If a line has a slope of zero, it means that the line is flat or horizontal.

No slope is a vertical line or straight up and down. No slope means that we cannot describe its slope using a number because its line is vertical and it's slope is undefined. This has to do with dividing a number by 0. When you do this, you should get an error message or it should say undefined.

So, this line would have zero slope because it's flat.

The table of values below represent a function.

Select all of the values of z that will make the relationship a function.

x ​ y ​
​3 ​3
​ 4 ​5
​ 5 ​ 6
​ z ​ 5
​6 ​10


A: 0
B: 2
C: 3
D: 5
E: 6
F: 10

Answers

Answer:

A) 0

B) 2

F) 10

Step-by-step explanation:

This is because these are not on the chart already and the other choices are. Each input can only have 1 output for it to be a function,

Alan bought two bikes. He sold one to Beth for $300 taking a 25% loss. He also sold one to Greta for $300 making a 25% profit. Did Alan break even? If not, did he have a profit or loss and by how much?

Answers

No Alan did not break even

Alan incured a loss of 6.25 %

Solution:

Given that,

Alan bought two bikes

He sold one to Beth for $300 taking a 25% loss

He also sold one to Greta for $300 making a 25% profit

When a person sells two similar items, one at a gain of say x%, and the other at a loss of x%, then the seller always incurs a loss

Which is given as:

[tex]loss\ \% = (\frac{x}{10})^2[/tex]

Here, x = 25

[tex]loss\ \% = (\frac{25}{10})^2\\\\loss\ \% = 2.5^2\\\\loss\ \% = 6.25[/tex]

Thus the loss percentage is 6.25 %

Find the slope of the line below

Answers

Answer:

(5,1) (8,5)

(5-1)/(8-5)= 4/3 is the slope

A pond initially contains 1000000 gal of water and unknown amount of an undesirable chemical. water containing 0.01 g of his chemical per gallon flows into the pond at a rate of 300 gal/h.the mixture flows out at the same rate ,so the amount of water in the pond remains constant .Assume that the chemical is uniformly distributed throughout the pond .How much of the chemical will be in the pond after a very long time ? ​

Answers

Final answer:

To calculate the amount of chemical in the pond after a very long time, multiply the rate at which the chemical flows in per hour by the number of hours that have passed.

Explanation:

To find out how much of the chemical will be in the pond after a very long time, we can first calculate the amount of chemical that flows into the pond per hour. Since 0.01 g of chemical flows in per gallon, and the rate of flow is 300 gallons per hour, the amount of chemical added per hour is 0.01 g/gal * 300 gal/hr = 3 g/hr.

Since the amount of water in the pond remains constant, the concentration of the chemical will also remain constant. Therefore, after a very long time, the amount of chemical in the pond will be the amount added per hour multiplied by the number of hours that have passed. So, if time is represented by 't', then the amount of chemical in the pond after a very long time is given by 3 g/hr * t.

Professor Ivy has following scores on her final exams: 97 88 66 55 89 72 94 32 84 89 72 76 77 Express answers rounded correctly to the nearest tenth

Answers

Answer:

The rest of the question:

Find Mean, Median, Mode, 25th Percentile, 75th Percentile, Maximum, Minimum, Range and IQR.

Let's begin by placing the data points in order from least to greatest:

32  55  66  72  72  76  77  84  88  89  89  94  97

n = 13

1) Mean sometimes called the average = the sum of the data over its number

Mean =( 32+55+66+72+72+76+77+84+88+89+89+94+97 )/13 =

         = 991/13 = 76.23 ≈ 76.2 (to the nearest tenth)

2) Median is the middle data point = 77

3) Mode is any number within a set that occurs the most often

Mode = 72 and 89

We will making a data in suitable form to find the remaining requirements:

(32  55  66  72  72  76) 77  (84  88  89  89  94  97)

4) 25th Percentile = Quartile 1 (Q1) which is the median of the first set of data

∴ 25th Percentile = (66+72)/2 = 138/2 = 69

5) 75th Percentile= Quartile 3 (Q3) which is the median of the second set of data

∴ 75th Percentile = (89+89)/2 = 89

6) Maximum = 97

7) Minimum = 32

8) Range = Maximum - Minimum = 97 - 32 = 65

9) IQR (interquartile range) = Q3 - Q1 = 89 - 69 = 20

Which expression is equivalent to the following complex fraction?


2 minus StartFraction 1 Over y EndFraction divided by 3 + StartFraction 1 Over y EndFraction

StartFraction 3 y + 1 Over 2 y minus 1 EndFraction

StartFraction (2 y minus 1) (3 y + 1) Over y squared EndFraction

StartFraction y squared Over (2 y minus 1) (3 y + 1) EndFraction

StartFraction 2 y minus 1 Over 3 y + 1 EndFraction

Answers

i hope this will help :)

Answer:

2y-1/ 3y+1

Step-by-step explanation:

What is the common difference in the arithmetic sequence 10, 8, 6, 4, ...?

20pts

Answers

Answer:common difference is -2

Step-by-step explanation:

Answer:common difference is -2

Step-by-step explanation:

The sequence is arithmetic if the difference between consecutive terms is constant.

Alice earns a monthly salary of $315 plus a commission on her total sales.last month her total sales were $9640, and she earned a Total of $1182.60. What is her commission rate ?

Answers

Answer:

The commission rate is 9%

Step-by-step explanation:

We are given;

Alice's monthly salary is $315 Total sales were $9640Total earnings are $1182.60

We are required to determine the commission rate;

We need to know that;

Total earnings = Monthly salary + Commission

Therefore;

Commission = Total earnings - monthly salary

                     = $1182.60 - $315

                     = $867.6

Therefore, assuming the commission rat is x %

Then;

x/100 × $9640 = $867.6

x/100 = $867.6 ÷ $9640

x/100 = 0.09

 x = 9%

Therefore, the commission rate is 9%



What are the solutions to the system of equations?



y=x2−5x+6y=−4x+6



(−1, 0) and (0, 6)
(0, 6) and (1, 2)
(−1, 0) and (6, 0)
(0, −1) and (6, 0)

Answers

Answer:

(0, 6) and (1, 2)

Step-by-step explanation:

hello :

(0, 6) and (1, 2)

put x =0 and y =6 in this system : y=x²−5x+6

y=−4x+6

you have : 6 = 0²-5(0)+6 =6  ...right

                  6 =-4(0)+6 .... right

same mhethod for:(1, 2)

The solutions are B) (0, 6) and (1, 2).

To find the solutions to the given system of equations:

y = x² − 5x + 6 and y = −4x + 6, we need to set the equations equal to each other and solve for x:

Set x² − 5x + 6 equal to −4x + 6:

x² − 5x + 6 = −4x + 6

Rearrange the equation to get:

x² − x = 0

Factor the equation:

x(x − 1) = 0

Solve for x:

x = 0 or x = 1

Substitute these values back into either original equation to find y:

When x = 0: y = −4(0) + 6 = 6 (so one solution is (0, 6)).

When x = 1: y = −4(1) + 6 = 2 (so another solution is (1, 2)).

Therefore, the solutions to the system of equations are B) (0, 6) and (1, 2)

The system of equations is solved using the linear combination method.
3x+4y=8 = -2(3x+4y=8) — -x-By--16
3x +24y - 12 (3x +24y= 12) ► x+8y=4
00
What does 0 = -12 mean regarding the solution to the system?
There are no solutions to the system because the equations represent parallel lines.
There are no solutions to the system because the equations represent the same line.
There are infinitely many solutions to the system because the equations represent parallel lines.
There are infinitely many solutions to the system because the equations represent the same line.
1

Answers

Answer:

There are no solutions to the system because the equations represent parallel lines.

Step-by-step explanation:

The given system is solved using the linear combination method.

By solving we had the result 0=-12.

We need to interpret this result in terms number of solutions.

Since 0 is never equal to -12, it means the system has no solution.

This means that the lines do not intersect

Solve: 746 ÷ 11
Show the remainder as a fraction.​

Answers

The correct answer is [tex]67\frac{9}{11}[/tex]

Write the problem in long division format,

Divide 74 by 11 to get 6,

Multiply the quotient digit (6) by the divisor 11,

Subtract 66 from 74,

Bring down the next number of the dividend,

Divide 86 by 11 to get 7,

Multiply the quotient (7) by the divisor 11,

subtract 77 from 86.

[tex]\(746 \div 11\)[/tex] equals 67 with a remainder of 9. The remainder expressed as a fraction is [tex]68\frac{2}{11}\).[/tex]

To solve the division problem 746 ÷ 11 and express the remainder as a fraction, we can perform the long division as follows:

Step 1: Divide 7 by 11, which is 0 with a remainder of 7. So, the first digit of the quotient is 0, and we bring down the next digit, which is 4, to form the dividend 74.

Step 2: Now, divide 74 by 11. The largest multiple of 11 that does not exceed 74 is 6 times 11, which is 66. The remainder is 74 - 66 = 8.

Step 3: Bring down the next digit, which is 6, to form the new dividend 86.

Step 4: Divide 86 by 11. The largest multiple of 11 that does not exceed 86 is 7 times 11, which is 77. The remainder is 86 - 77 = 9.

Step 5: Finally, bring down the last digit, which is 0, to form the new dividend 90.

Step 6: Divide 90 by 11. The largest multiple of 11 that does not exceed 90 is 8 times 11, which is 88. The remainder is 90 - 88 = 2.

Now, we have completed the long division. The quotient is 68, and the remainder is 2. To express the remainder as a fraction, we can write it as [tex]\(\frac{2}{11}\).[/tex]

So, [tex]\(746 \div 11 = 68\frac{2}{11}\).[/tex]

For more such questions on remainder:

https://brainly.com/question/29347810

#SPJ3

A person paid $60 for a vase at an estate auction. She resold it to an antiques dealer for $40. What was her profit or loss?

Answers

Answer:

she lost 20 dollars

Step-by-step explanation:

she paid fpr it for 60.

she sold it for 40.

40 is less than 60.

60-40=20

Answer: She losses 20$ for want she sold

can someone please help been trying to figure this out for 2 days -.-

Answers

Answer:

PC=40 units

Step-by-step explanation:

we know that

The circumcenter is the center of the triangle's circumcircle (the circle that passes through all three of the triangle's vertices)

That means

PC=RC=QC----> is the radius of the circumcircle

step 1

Find the value of x

equate PC and RC

[tex]3x+7=5x-15[/tex]

solve for x

[tex]5x-3x=7+15\\2x=22\\x=11[/tex]

Verify

substitute the value of x

[tex]PC=3x+7=3(11)+7=40\ units[/tex]

[tex]RC=5x-15=5(11)-15=40\ units[/tex]

[tex]QC=51-x=51-11=40\ units[/tex]

so

[tex]PC=RC=QC[/tex] ----> is ok

Meiko is hanging a picture collage on her wall. The dimensions of the collage are shown in the diagram. She plans to cover
the collage with smaller pictures that have the same shape as the collage. If the base of each small picture is 4.5 inches and
the height is 3.5 inches, how many small pictures will fit within the collage?

Answers

Answer: [tex]\frac{A_{collage}}{15.75\ in^2}[/tex]

Step-by-step explanation:

Since you did not attach the diagram and I don't know the dimensions of the collage, I will give you a general explanation of the procedure you need to use in order to solve the exercise:

1. You need to use the formula for calculate the area of a rectangle:

[tex]A=lw[/tex]

Where "l" is the length and "w" is the width.

2. Using the formula, you must calculate the area of an small picture.

You know that its length is 4.5 inches and its width is 3.5 inches. Therefore, its area is:

[tex]A_{picture}=(4.5\ in)(3.5\ in)\\\\A_{picture}=15.75\ in^2[/tex]

3. Calculate the area of the collage using the formula:

[tex]A_{collage}=(l_{collage})(w_{collage})[/tex]

4. Finally, divide the area of the collage by the area of an small picture in order to find the number of small pictures that will fit within the collage:

[tex]\frac{A_{collage}}{15.75\ in^2}[/tex]

Answer:

C is the answer

Step-by-step explanation: I took a test

3x+4y-6=0
Write this in y=mx+b form, show your work

Answers

Answer:

y=(-3/4)x+3/2

Step-by-step explanation:

3x+4y-6=0

3x+4y=6

4y=6-3x

4y=-3x+6

y=(-3/4)x+3/2

To convert 3x + 4y - 6 = 0 to y = mx + b form is :[tex]y = -\frac{3}{4}x + 1.5.[/tex]

The equation given is 3x + 4y - 6 = 0. To write it in y = mx + b form, follow these steps:

Add 6 to both sides of the equation: 3x + 4y = 6.Subtract 3x from both sides to isolate the y-term: 4y = -3x + 6.Divide every term by 4 to solve for y:[tex]y = -\frac{3}{4}x + \frac{6}{4}.[/tex]Simplify the constants:[tex]y = -\frac{3}{4}x + 1.5.[/tex]

Now, the equation is in slope-intercept form where m (the slope) is[tex]-\frac{3}{4}[/tex] and b (the y-intercept) is 1.5.

HELP? please asap!! ty

Answers

Answer:

BF = 30

Step-by-step explanation:

[tex]BF=\frac{1}{2}*CE\\\\=\frac{1}{2}*60=30[/tex]

The line segment connecting the midpoint of two sides of a triangle is parallel to the third side and half the length of the that third side

BF is a mid segment so it would need to be half of 60 since that’s the third side leading answer- BF= 30

I Suck at maths

Put the following in order from smallest to largest.

Answers

Answer:

0.027, [tex]\frac{1}{6}[/tex], 23%, 0.29, [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Here we have to convert the fractions and percents to decimal form, then we have to arrange them from smallest to largest.

[tex]\frac{1}{6} = 0.167[/tex]

23% = [tex]\frac{23}{100} = 0.23[/tex]

[tex]\frac{3}{5} = 0.6[/tex]

0.29

0.027

Now we have to arrange from smallest to largest.

0.027 < 0.167 < 0.23 < 0.29<0.6

From smallest to largest

0.027, [tex]\frac{1}{6}[/tex], 23%, 0.29,[tex]\frac{3}{5}[/tex]

Give the 46th term of the following sequence: -2, -5,-8, -11, -14, ...
[A] -137
[B] 44
[C] -134
[D] -138

Answers

Answer:

d

Step-by-step explanation:

it the 46 one in the pattern

I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
Every month, Midtown Grocery Store donates 8-ounce cans of vegetables to a food bank. The food bank's volunteers fill bags with these cans and deliver the bags to families in need.
There is a proportional relationship between the number of bags the food bank's volunteers can fill, x, and the total number of cans they deliver, y.
x (bags) y (cans)
5 50
7 70
8 80
9 90
What is the constant of proportionality? Write your answer as a whole number or decimal.
cans per bag

Answers

Answer:8 80

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Determine the fraction of total interest owed using the rule of 78.

After the six month of a 12 month loan, the numerator is: {(n+11)+(n+10)+(n+9)+(n+8)+(n+7)+(n+6)) =
A.78
B. 57
C.51

The denominator is: ((n)+(n+1)+...+(n+11)} =
A.51
B.78
C.57

Therefore, the fraction is numerator/denominator (to the nearest tenth) =
A.73.1%
B.65.4%
C.136.8%

Answers

Answer:

The numerator is 57 ⇒ B

The denominator is 78 ⇒ B

The value of the fraction is 73.1% ⇒ A

Step-by-step explanation:

Let us solve it step by step

∵ The loan is 12 month

∵ The numerator is after 6 month

- Put n = 1 in each bracket

∴ The numerator = {(1 + 11) + (1 + 10) + (1 + 9) + (1 + 8) + (1 + 7) + (1 + 6)}

∴ The numerator = {12 + 11 + 10 + 9 + 8 + 7}

∴ The numerator = {57}

The numerator is 57

∵ The denominator = {(n) + (n + 1) + (n + 2) + .......... + (n + 11)}

- Do the same as the numerator put n = 1

∴ The denominator = {1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12}

∴ The denominator = {78}

The denominator is 78

Now find the value of the fraction

∵ The fraction = [tex]\frac{57}{78}[/tex]

∴ Its value = 0.730769230

- Multiply it by 100%

∴ Its value = 0.730769230 × 100% = 73.0769230%

- Round it to the nearest tenth

∴ Its value = 73.1%

The value of the fraction is 73.1%

If 32x+1 – 3x+5, what is the value of x?
N
w
оооо
o

Answers

[tex]\boxed{x=\frac{4}{35}}[/tex]

Explanation:

Here we have the following equation:

[tex]32x + 1 = - 3x + 5[/tex]

So let's follows these steps:

Step 1: Add 3x to both sides:

[tex]32x + 1 +3x= - 3x + 5+3x \\ \\[/tex]

Step 2. Combine like terms:

[tex]32x + 3x + 1 = - 3x+3x + 5 \\ \\ 35x+1=5[/tex]

Step 3. Subtract -1 from both sides:

[tex]35x+1-1=5-1 \\ \\ 35x=4[/tex]

Step 4. Divide both sides by 35:

[tex]\frac{35}{35}x=\frac{4}{35} \\ \\ \\ \boxed{x=\frac{4}{35}}[/tex]

Learn more:

Solving equations by graph: https://brainly.com/question/10643312

#LearnWithBrainly

Other Questions
The publisher will sell Carlita's book to bookstores for $26.40 per copy. The retail price for customers to pay will be $48. Carlita expects to sell 225,000 copies. The publisher's expenses will be: Printing: $3.75 per copy Editing/Design: $27,500 Publicity/Advertising/ Administrative: $135,150 Carlita's Author Fee: 6.5% of the suggested retail price of every book sold Carlita suddenly announces that she wants to insert a kelp bookmark in each copy. The publisher thinks this will guarantee sales, but Carlita must agree to pay for 1/3 of the cost of the kelp. If the publisher expects the total profit on the book with the added expense to be $4,092,100, how much should Carlita expect to pay for her share of the kelp? just so i dont scroll up Pascal programming An auto repair shop charges as follows. Inspecting the vehicle costs $75. If no work needs to be done, there is no further charge. Otherwise, the charge is $75 per hour of labour plus the cost of parts, with a minimum charge of $120. If any work is done there is no charge for inspecting the vehicle. Write a program to read values for hours worked and cost of parts (either of which could be 0) and print charge for the job. About 300 million years ago, the land of earth was in a single mass known as Pangaea. About 150 million years ago Pangaea broke up into the land masses. Based on the diagram which species of animals are more likely to survive on continent ex after the break up of Pangaea then before it broke apart? Check off all the choices that are valid MAJOR characteristics of organisms.ATake in materials from environment to make energy and release wastesBComplicated structural organizationCComplicated chemical organizationComplicated organ organizationE MovementFRespond to other organismsGGrow and DevelopRespond to environmentReproduce asexuallyCommunication Which sentences in the passage demonstrate the fulfillment of the legal responsibilities of a financial exchange?Anne is a manager in a financial exchange.She holds the customer responsible for ensuring the safety of their money stored in the organization.She issues an account statement annually that lists all the transactions made through a customers account that year.She allows customers to withdraw money only if the institution has sufficient cash reserves during the day.She provides details to customers regarding the money deposited in their accounts.However, she avoids sharing information with the customers about the amount withdrawn from their accounts over a period Social mobility occurs because of Select one: a. social change and availability of talent. b. a shift in the "culture of poverty." c. random, unexplained factors. d. genetic transitions in the population. Taylor and Morgan would like to spend some time on the river while camping with their family. Taylor wants to rent a two-person kayak. There is a $5 setup fee for kayak rentals and then kayaks are rented at $8 per hour. The setup fee for canoes is $9 and they are rented at $6 per hour. Determine the number of hours it takes for canoe rentals and kayak rentals to cost the same amount. Was Juice Wrld good? There are 130 people on a bus trip. They stop at a restaurant for lunch. Each table at the restaurant can seat 8 people. What is the least number of tables that will seat all the people? 8 16 17 18 PLZ HELP ASAP I WILL GIVE THE BRAINLESTAND 100 POINTS 9. An automobile dealer believes that the average cost of accessories in new automobiles is $3,000 over the base sticker price. He selects 50 new automobiles at random and finds that the average cost of the accessories is $3,256. The standard deviation of the sample is $2,300. Test his belief at -0.0s. Use the classical method The social respect, admiration, and recognition associated with a particular social status is known as Select one: a. wealth. b. power. c. prestige. d. income. Which represent potential energy?A. A candy barB. A stretched rubber bandC. WindD. A roller coaster at the top of a hillE. Rowing a boatF. A ball rolling down a hill Margo borrows $100, agreeing to pay it back with 6% annual interest after 6 months. How much interest will she pay. A group of American firms accused Japanese manufacturers of selling flat screens used in laptop computers at prices as much as 70% less than manufacturing cost. This is an example of _______.A. A cartelB. EmbargoC. TariffD. Dumping This is the statement which brings a paragraph to a close by restating the main idea. In the future days, which we seek to make secure, we look forward to a world founded upon four essential human freedoms.The first is freedom of speech and expressioneverywhere in the world.The second is freedom of every person to worship God in his own wayeverywhere in the world.The third is freedom from want, which, translated into world terms, means economic understandings which will secure to every nation a healthy peacetime life for its inhabitantseverywhere in the world.The fourth is freedom from fear, which, translated into world terms, means a world-wide reduction of armaments to such a point and in such a thorough fashion that no nation will be in a position to commit an act of physical aggression against any neighboranywhere in the world.That is no vision of a distant millennium. It is a definite basis for a kind of world attainable in our own time and generation. That kind of world is the very antithesis of the so-called new order of tyranny which the dictators seek to create with the crash of a bomb.To that new order we oppose the greater conceptionthe moral order. A good society is able to face schemes of world domination and foreign revolutions alike without fear.from "Four Freedoms Speech" by President Franklin Roosevelt (1941)Select the correct answer. President Roosevelt delivered this speech to Congress on January 6, 1941, at a time when the U.S. had not officially entered World War II. Given the historical context, which of the following best explains Roosevelt's emphasis on these four specific freedoms?A. He believed that other nations should adopt the U.S. Bill of Rights. B. He believed that people were being oppressed throughout the world. C. He wanted to prevent the U.S. from entering World War II. D. He wanted to end World War II before the U.S. became involved. When the supply curve shifts out (to the right) and the demand curve shifts out (to the right), the equilibrium quantity will:a) increase.b) decrease.c) be indeterminate.d) There is not enough information to tell.Q A mass m = 3.4 kg is at the end of a horizontal spring of spring constant k = 105 N/m on a frictionless horizontal surface. The block is pulled, stretching the spring a distance A = 6.5 cm from equilibrium, and released from rest. (a) Write an equation for the angular frequency of the oscillation(b) Calculate the angular frequency o of the oscillation in rad/seconds Ichthyostega is a 370-million-year-old fossil from Greenland. Ichthyostega had digits, eyes on the top of its head, and strong, armlike bones. It also had no gills and a reduced tail. Acanthostega, Eusthenopteron, and Tiktaalik all had gills and full tails. Which organism would you place Ichthyostega closest to on this phylogenetic tree? a. For a 200g load acting vertically downwards at point B, determine the axial load in members AB, BC, BD, CD and CE. b. Repeat this for the load hung at C, D and F