descending from 35600 feet at a rate of 3200 feet per minute

Answers

Answer 1

Answer:

the answer is 11.1 minute

Step-by-step explanation:

divide 35600 by 3200


Related Questions

find two consecutive numbers whose product is 272​

Answers

Answer:

Below

Step-by-step explanation:

x = first number  

x+1 = second number

x *  (x+1) = 272

x^2  +x  = 272

x^2 + x - 272 = 0     Use Quadratic Formula to find:

x=   16    x+1 = 17          OR       x =   -17     x+1 = -16

Can someone help please this so due tonight

Answers

The fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

What is Fraction?

A fraction represents a part of a whole.

1. Let's say Alexa had a total of 5x crayons in the bag.

the number of blue crayons in the bag is 2x,

There is one triangle for every two round crayons,

(1/2) × 2x = x (By condition)

So, the fraction of crayons that are blue triangle is x / 5x = 1/5.

The number of blue round crayons is 2x.

The number of non-blue crayons is 5x - 2x = 3x,

The ratio of blue rounds to non-blue crayons is 2x / 3x = 2/3.

2.

4 out of 5 wall footballs are rubber, 4/5 of the footballs in the bag are rubber.

The fraction of rubber footballs that are brown is 2/3.

The fraction of footballs that are brown rubber footballs is (4/5) × (2/3) = 8/15.

The fraction of non-brown rubber footballs is (4/5) - (8/15) = 4/15.

The ratio of rubber footballs to non-rubber footballs is (4/5) / (1/5) = 4.

So there are 4 times as many rubber footballs as non-rubber footballs

Hence,  the fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ1

Sanjeev has to buy enough wallpaper to cover a rectangular wall that has an area of
242 square feet. The wall is 11 feet tall. How wide is the wall?

Answers

The wall is 22 feet wide.

If two angles of a triangles are 50degree and 65 degree, then the third angle is?

Answers

Answer: F=180-(50+65) 65

Step-by-step explanation: the angles add the up 180°

what are the factor pairs needed to answer 3z^2 + 26z - 9

Answers

Answer:

daddy

Step-by-step explanation:

hey daddy

Answer:

Therefore, the factor pairs needed to answer 3z^2 + 26z - 9 are (-3, 9) and (3z - 1, z + 9).

Step-by-step explanation:

To factor the quadratic expression 3z^2 + 26z - 9, we need to find two numbers that multiply to give us 3 times -9 = -27, and add up to 26.

One way to do this is to list all the factor pairs of -27 and look for the pair that has a sum of 26:

-27 and 1

-9 and 3

-3 and 9

-1 and 27

We can see that the pair that adds up to 26 is -3 and 9. So we can use these numbers to write the quadratic expression as a product of two binomials:

3z^2 + 26z - 9 = (3z - 1)(z + 9)

Therefore, the factor pairs needed to answer 3z^2 + 26z - 9 are (-3, 9) and (3z - 1, z + 9).

Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the most accurate rate of speed Morris is traveling?

1 mile = 5,280 feet

45 miles per hour
46 miles per hour
47 miles per hour
48 miles per hour

Answers

48 miles per hour is the most accurate rate of speed Morris is traveling

What is Unit of measurement?

A measurement unit is a standard quantity used to express a physical quantity.

Given that Aneesha's speed is 50 miles per hour.

We need to convert to feet per second.

By given 1 mile = 5,280 feet

50×5280=264000 feet

Now divide by 36000

264000/36000

73.33 feet/second is the Aneeshas speed.

Morris is traveling 3 feet per second less than Aneesha, so his speed is:

73.33 - 3 = 70.33 feet/second

70.33× 3600  = 253,188 feet/hour

253,188 ÷ 5280  = 48 miles/hour

Hence,  Morris is traveling at a speed of 48 miles per hour.

To learn more on Unit of Measurement click:

https://brainly.com/question/15402847

#SPJ1

Find the difference. use your answer in the simplest terms, using the slash ( / ) as the fraction bar.
1/2 - 1/4

Answers

Answer:

1/4

Step-by-step explanation:

You cannot subtract (or add) a fraction with different denominators so first, you need to find a common denominator. You can do this by finding the least common multiple (LCM).

Here the denominators are 2 and 4 so the LCM is 4.

After you find the LCM you need to multiply the denominator by a number that equals the LCM. Then multiply the numerator by that same number.

So convert both 1/2 and 1/4

1/4 x 1/1 = 1/4

1/2 x 2/2 = 2/4

Now we can just subtract the numerator from each other.

2/4 - 1/4 = 1/4

We cannot simplify the difference any more so keep it the same.

Divide 12x3 − 16x2 − 4x by −4x.

−3x2 + 4x − 1
−3x2 + 4x + 1
−3x3 − 4x2 − x
−3x2 + 4x

Answers

Answer:

-3x2+4x+1

Step-by-step explanation:

assuming the numbers after x are squares, cubes etc. 12x3    -16x2     -4x all need to be divided by -4x. 12x3/-4x(12/4 and to divided x cubed by x, -1 to the exponent) =-3x2. -16x2/-4x(-16/-4 and to divide x squared by x, -1 to the exponent)=4x. -4x/-4x(anything divided by itself is 1) therefore you have -3x2+4x+1

Answer:

[tex]-3x^2+4x+1[/tex]

Step-by-step explanation:

[tex]=\frac{4x\left(3x^2-4x-1\right)}{-4x}[/tex]

[tex]=\frac{x\left(3x^2-4x-1\right)}{-x}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-1}=-a[/tex]

[tex]=-\left(3x^2-4x-1\right)[/tex]

[tex]Simplify[/tex]

[tex]=-\left(3x^2-4x-1\right)[/tex]

hope this helps :P

Mr. Newton wants to buy a shirt in Leavenworth Kansas that cost $20.The sales tax in Leavenworth is 8%. What would be the total price of the shirt after adding the sales tax?

Answers

First find the amount the price increased.

    amount of change
                 = (percent change) x (starting value)

                 = (8%) x ($20)

                 = (0.08) x ($20)

                 = $1.60

(Remember to convert the percent to a decimal before multiplying.)

Now add the tax onto the price:

      $20 + $1.60 = $21.60

The price, including sales tax, is $21.60.

How to convert microgram to mg?

Answers

To convert micrograms (μg) to milligrams (mg), you can divide the number of micrograms by 1000. So, the formula for converting micrograms to milligrams is: mg = μg / 1000.

To convert micrograms to milligrams, divide the number of micrograms by 1000. This is because there are 1000 micrograms in 1 milligram. For example, if you have a measurement of 5000 micrograms and you want to convert it to milligrams, you would divide 5000 by 1000 to get 5 milligrams. This conversion is useful in many fields, including medicine, where medication dosages are often measured in milligrams, and scientific research, where precise measurements of small amounts of substances are necessary.

For example, let's say you have a measurement of 5000 micrograms and you want to convert it to milligrams:

mg = 5000 μg / 1000

mg = 5 mg

Therefore, 5000 micrograms is equal to 5 milligrams.

Learn more about mathematics here: brainly.com/question/24600056

#SPJ4

Three positive integers are in a ratio of 3:4:7 and have a sum of 196. What is the smallest of the three integers?
A. 36
B. 56
D. 42
E. 39

Answers

The smallest of the three integers is, 42

Option D is true.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities.

Given that;

Three positive integers are in a ratio of 3 : 4 : 7 and have a sum of 196.

Hence, All the integers are,

⇒ 3x, 4x , 7x

Here, The sum is 196.

Hence, We can formulate;

⇒ 3x + 4x + 7x = 196

⇒ 14x = 196

⇒ x = 14

Thus, The smallest integers is,

⇒ 3x = 3 × 14

         = 42

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ1

Elwyn's bill for dinner at a restaurant was ​$75. He wants to leave a 20​% tip. How much should he leave for the​ tip? What is his total bill for dinner and​ tip?

Answers

to find how much elwyn should leave for the tip, you multiply 75 by 0.20 to find the tip hes gonna give. (you turn the 20% tip into 0.20)

75 x 0.2= $15 <— this number means that elwyn is gonna give a $15 tip.

to find the total bill for the dinner with the tip too, you need to add $15 to his original bill cost, $75.

75 + 15= 90

Therefore, Elwyns total bill including the dinner and tip is $90

For two adjacent angles x° and (x + 30)° that make up a 90° angle, what is x

Answers

In the given situation, the required value of x for the given pair of adjacent angles is 30°.

What are adjacent angles?

When two angles have a similar vertex and side, they are referred to as neighboring angles.

The vertex of an angle is the point at which the rays that make up its sides come to an end.

When adjacent angles have the same vertex and side, they can be a complimentary angle or supplemental angle.

The definition of adjacent is next to or nearby.

Two next-door residences are an illustration of proximity.

Typically, we think of those who live on our street as neighbors.

So, we have:

x + x + 30 = 90

Now, solve for x as follows:

x + x + 30 = 90

2x + 30 = 90

2x = 90 - 30

2x = 60

x = 60/2

x = 30

Therefore, in the given situation, the required value of x for the given pair of adjacent angles is 30°.

Know more about adjacent angles here:

https://brainly.com/question/26768295

#SPJ1

The system of linear equations 3x + 2y = −4 and y equals one half times x plus 1 is graphed on a coordinate plane. Approximate the solution to the system.

coordinate plane with one line that passes through the points 0 comma negative 2 and negative 2 comma 1 and another line that passes through the points 0 comma 1 and 2 comma 2

(−1.5, 0.25)
(−0.5, 0.75)
(1.5, 0.25)
(−2.5, 1.5)

Answers

Answer:

To approximate the solution to the system of equations, we need to find the point where the two lines intersect. From the second equation, we know that y = (1/2)x + 1. Substituting this expression for y into the first equation gives:

3x + 2[(1/2)x + 1] = -4

Simplifying and solving for x, we get:

3x + x + 2 = -4

4x = -6

x = -1.5

Substituting this value of x back into the second equation gives:

y = (1/2)(-1.5) + 1 = 0.25

Therefore, the solution to the system of equations is approximately (-1.5, 0.25).

So the answer is (−1.5, 0.25).

why does the equation y = 3x + 5 not represent a proportional relationship?​

Answers

Answer:

Proportional relationship between two quantities x and y means that the quotient y/x stays constant, i.e. that there is a constant c such that y=cx. In our case we have that y=3x+5 which means that x and y are NOT proportional.

Answer:

Check the explanation provided

Step-by-step explanation:

This equation does not represent a proportional relationship because it's graph does not pass through the origin (i.e. 0,0)


[tex]y = mx + c[/tex]

where m =  gradient OR slope

               = 3

           c  = y-intercept

               = 5

For the equation to have a proportional relationship, the value of c MUST BE '0’

Please Helppppp I dont understandddd

Answers

To find out how much black cord the design needs, we must find the perimeter of the figures. In this case, it would be: 107.42ft

How to find the perimeter of figures?

To find the perimeter of four-sided figures, we just have to add the length of their sides as shown below:

16ft + 16ft + 10ft + 10ft = 52ft7ft + 7ft + 7ft + 7ft = 28ft

To find the area of the triangle we must add its sides, in this case it is a triangle that has all the sides equal so it would be like this:

2ft + 2ft + 2ft = 6ft

Finally, the perimeter of the circle is calculated by multiplying 2 * number pi * radius. So the operation would look like this:

2*3.14*1.5=9.42ft

Now all that remains is to add all the sides and we will know how much black cord we need

9.42ft + 24ft + 28ft + 52ft = 107.42ft

Additionally, the area of the figures is calculated as follows:

Rectangle:

16ft*10ft=160ft

Square:

7ft*7ft=49ft

Triangle:

1.73ft * 2ft / 2 = 1.73ft1.73*4=6.92ft

Circle:

3.14*1.5²=7.06ft

To find the area shown for each figure, simply subtract the area of the superimposed figure as shown below:

160ft - 49ft = 11ft49ft - 8ft - 6.92ft = 34.08ft

Finally, to know how many yards of fabric we need for each figure, we must take into account that one square foot is equal to 0.11 square yards, so we will have to multiply these values as shown below:

160ft * 0.11 = 17.6 = 18 yards49ft * 0.11 = 5.39 = 6 yards6.92ft * 0.11 = 0.76 = 1 yard7.06ft * 0.11 = 0.77 = 1 yard

Learn more about inches in: https://brainly.com/question/16311877

#SPJ1

17. When Molly stands in the center of the pool, she is exactly 5.25 feet from the edge in any direction. Calculate the area of the pool.​

Answers

Answer: Assuming that the pool is square it would be 110.25ft.

Step-by-step explanation: multiply 5.25 by 2, then multiply 10.5 by 10.5 and you get 110.25

Determine the future value of a simple interest investment where 5% interest paid monthly for
1.5 years on $1000.

Answers

Answer:

Step-by-step explanation:

The simple interest formula is given by I = Prt, where P is the principal amount, r is the interest rate (per compounding period), and t is the time in years.

In this case, the interest rate is 5% per month, so we need to convert it to the equivalent annual interest rate, given by r = (0.05 x 12) = 0.6 (since there are 12 months in a year).

The time is 1.5 years, so t = 1.5.

So, the simple interest is:

I = Prt = 1000 x 0.6 x 1.5 = 900

The future value of the investment is the principal amount plus the interest earned, given by:

Future value = P + I = 1000 + 900 = 1900

So, the future value of the investment is $1900.

Answer: the future value of the simple interest investment, where 5% interest is paid monthly for 1.5 years on $1000, is $18074.06.

Step-by-step explanation:

To determine the future value of a simple interest investment, we need to calculate the interest earned over the investment period and add it to the original investment amount. Here's a step-by-step explanation for calculating the future value of a simple interest investment with a 5% interest rate paid monthly for 1.5 years on $1000:

Step 1: Convert the annual interest rate to a monthly rate.

Since the interest rate is 5% per year and the interest payments are made monthly, we need to convert the annual interest rate to a monthly interest rate. We can do this by dividing the annual interest rate by 12:

Monthly interest rate = Annual interest rate / 12

Monthly interest rate = 5% / 12 = 0.05 / 12 = 0.00417

Step 2: Calculate the interest payment for each month.

For each month, we can calculate the interest payment by multiplying the monthly interest rate by the current balance:

Interest payment = Monthly interest rate * Current balance

Let's calculate the interest payment for the first month:

Interest payment = 0.00417 * $1000 = $4.17

Step 3: Add the interest payment to the current balance to get the new balance.

After each interest payment, we can add it to the current balance to get the new balance:

New balance = Current balance + Interest payment

New balance = $1000 + $4.17 = $1004.17

Step 4: Repeat the steps for each month.

We can repeat steps 2 and 3 for each of the 12 months in the first year and then for the 6 months in the second year.

Step 5: Add up the final balance.

After all 18 interest payments have been made, the final balance will be the sum of all the new balances:

Final balance = $1004.17 + $1004.17 + ... + $1004.17 (18 times) = $1004.17 * 18 = $18074.06

So, the future value of the simple interest investment, where 5% interest is paid monthly for 1.5 years on $1000, is $18074.06.

The scores from a 20 point algebra quiz are shown.
18, 10, 17, 19, 13, 9, 7, 12, 20, 15

The percentile of a test score can be defined as the percent of test scores less than or equal to that test score

Use this definition to find the percentile of the test score 12

The test score 12 is at the ___th percentile

Answers

Answer:

Percentile = 90

Therefore, the test score 12 is at the 90th percentile.

Step-by-step explanation:

Percentile = (Number of scores less than or equal to score) / (Total number of scores) * 100

Percentile = (9) / (10) * 100

Answer:

Percentile = 90Therefore, the test score 12 is at the 90th percentile

Percentile = (Number of scores less than or equal to score) / (Total number of scores) * 100Percentile = (9) / (10) * 100Step-by-step explanation:

Andy has $1,000 in an account. The interest rate is 15% compounded annually. To the nearest cent, how much will he have in 2 years? Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

To the nearest cent, Andy will have $1,322.50 in 2 years.

What is interest ?

Interest is the cost of borrowing money, or the return on lending money. It is typically expressed as a percentage of the amount borrowed or lent, known as the principal.

According to given information :

Using the formula [tex]B=p(1+r)^t[/tex], where p=$1,000, r=0.15 (15% expressed as a decimal), and t=2, we can calculate the balance B after 2 years:

[tex]B = $1,000(1+0.15)^2 \\ \\B = $1,000(1.15)^2\\\\B = $1,000(1.3225)\\\\B = $1,322.50\\\\[/tex]

Therefore, to the nearest cent, Andy will have $1,322.50 in 2 years.

To know more about interest visit :

https://brainly.com/question/2294792

#SPJ1

Is it possible to make the left and right expressions have the same value? Explain your thinking.​

Answers

It is possible for equivalent expressions to make the left and right expressions have the same value

What is Expression?

An expression is combination of variables, numbers and operators.

We have to check whether it is  possible to make the left and right expressions have the same value

If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

For example 2x+4=2(x+2)

When we plug in x as 2

2(2)+4=2(2+2)

4+4=2(4)
8=8

Hence, its possible to make the left and right expressions have the same value when the expressions are equivalent.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ9

Tasha is trying to solve 1 ⅙ - ⅚. She says it’s impossible because you only have ⅙, so you can’t take away ⅚. Explain how Tasha can solve this problem. Please help me

Answers

Tasha can make 1 1/6 an improper number making 1 1/6=7/6. Then she can subtract 7/6-5/6, which is 2/6. Simplified 1/3.

Now it's not impossible! ;D

If tan A=7/12, what is cos A?

Answers

Given that tan(A) = 7/12, we can use the relationship between the tangent and cosine functions to find the value of cos(A).

tan(A) = sin(A) / cos(A)

So, dividing both sides by tan(A), we get:

tan(A) = sin(A) / cos(A)
=> cos(A) = sin(A) / tan(A)
=> cos(A) = 1 / (sqrt(1 + tan^2(A)))

Plugging in the value of tan(A) = 7/12:

cos(A) = 1 / (sqrt(1 + (7/12)^2))
=> cos(A) = 1 / (sqrt(1 + 49/144))
=> cos(A) = 1 / (sqrt(196/144))
=> cos(A) = 1 / (sqrt(196/144))
=> cos(A) = 1 / (sqrt(4/3))
=> cos(A) = sqrt(3/4)

So, cos(A) = sqrt(3/4).

volume of a square room is 256 cubic meter.
Area of 4 walls is 128 Sq.m
Find length and breath. ​

Answers

The length and breadth of the room is 4 meters

What is area of square?

A square is a 2D figure in which all the sides are of equal measure. Since all the sides are equal, the area would be length times width, which is equal to side × side. Hence, the area of a square is side square.

A square has it's sides equal

A = l²

The area of 2 walls = 128/2 = 64

Therefore the length of each sides = √64

= 4meters

The height of the room = Volume/ height

= 256/128 = 2

The breadth of the room will also be 4meters

learn more about area of square from

https://brainly.com/question/11444061

#SPJ1

3
87. 8
98
-
8[?].




the question didn’t have enough letters for me to post so i’m using this to post it

Answers

Cancel CF

8(8)^3

Solution

8^4


Insert 4 in the green box

What is happening after time (te)? there are three correct statements. [reactants] < [products] [a] + [b] = [cd] [products] remain constant. [a] + [b] remain constant. [reactants] > [products].

Answers

None of the statements of Chemistry reactions are necessarily true in all cases.

The reason is explained below:-

[reactants] < [products]: This statement is not necessarily true, as the amount of reactants and products in a reaction can vary. In some cases, the number of reactants is indeed less than the number of products, but in others, it may be equal or greater.[a] + [b] = [cd] [products] remain constant: The sum of the concentrations of reactants [a] and [b] may remain constant during a reaction, but the individual concentrations can change. The concentration of the products, represented by [cd], may also remain constant during a reaction, but the individual concentrations of the products can also change. The statement [products] remain constant is therefore correct, [a] + [b] remain constant: This statement is also not always true, as the amounts of reactants can change as the reaction proceeds[reactants] > [products]: This statement is not necessarily true, as the amount of reactants and products in a reaction can vary. In some cases, the number of reactants is indeed greater than the number of products, but in others, it may be equal or less.

To know more such Chemistry reaction here:

https://brainly.com/question/12890522

#SPJ4

____ The given question is not correct, the correct question is given below:

What is happening after Time (T e )? There are three correct statements.

[reactants] < [products] [A] + [B] = [CD][Products] remain constant.[A] + [B] remain constant.[reactants] > [products]

6. Sofia rearranged the equation 3x+7+2x-8=21
into 3x+2x+7-8=21 in order to combine like
terms more easily. Which of the following properties
did she use to make this manipulation?
(1) The commutative property of addition
(2) The additive property of equality
(3) The distributive property
(4) The associative property of multiplication

Answers

Answer:

1, The Commutative Property of Addition

Step-by-step explanation:

you’re only changing the order

The foundation of a building is in the shape of a rectangle, with a length of 20 meters (m) and a width of 18 m.

Answers

The distance from the top left corner of the foundation to the bottom right corner is 27 meters.

The distance between two points in space can be calculated using the Pythagorean theorem. In this case, we want to find the distance from the top left corner of the foundation to the bottom right corner.

To do this, we will use the length and width of the foundation, which are 20 meters and 18 meters respectively.

The Pythagorean theorem states that in a right triangle, the square of the distance (c) between the two points is equal to the sum of the squares of the other two sides (a and b). Mathematically, this can be represented as

=> c² = a² + b².

In our case, the two sides are the length (20m) and width (18m) of the foundation. To find the distance, we will first find the square of c by adding the squares of a and b. So,

=> c² = 20² + 18² = 400 + 324 = 724.

To find the distance, we will take the square root of c².

So,

c = √724 = 26.83

When we rounded to the nearest meter, c = 27m.

Complete Question:

The foundation of a building is in the shape of a rectangle, with a length of 20 meters(m) and a width of 18m. To the nearest meter, what is the distance from top left corner of the foundation to the bottom right corner.

To know more about rectangle here.

https://brainly.com/question/8663941

#SPJ4

Which of the following are like terms in this expression?
12a−7+7a+12b

Answers

Answer: Hello! I'm Jk!....

7a and 12a

Step-by-step explanation:

Hope this really helps you, XoXoGoldenMaknae

What is the answer it is so confusing

Answers

Answer:

the answer is 5

Step-by-step explanation:

³√125 or this can also be written as 125^⅓

it means cube root of 125

And the cube root of ³√125 is 5

then the cube of 5³ is 125

Other Questions
evaluate the most significant similarity between the french revolution of 1789-1799 and the revolutions of 1948 PLS SOME1 HELP ITS DUE IN 20 MIN!!!!!!!!!!!!!!!!!!!!!!!A quilter created the following shape to use in a block for a new quilt. A six-sided figure with a large base of 10 and three-fifths inches. The side to the right of the base is 6 inches. The small side parallel to the base is 4 and one-fifth inches. There are two sides that form a point at a right angle. The smaller is 4 inches, and the larger is 5 inches. What is the area of the shape for the quilt block?. a drug that aims to treat addiction is likely to target which part of the brain? We make 72 cookies and 18 cookies are eaten. What fraction represents the portion of the whole batch that remains? Suppose the data have a bell-shaped distribution with a mean 30 and a standard deviation of 5. Use the empirical rule to determine the percentage of data between 15 and 45.Select one:a. 95.00%b. 97.35%c. 99.70%d. 81.50% What is Donald Henry Gaskins? Describe protons Location: Change: Mass: Determine the approximate circumference of a circle that has an area of 200. 96 cm 2. what options do butterflies have for regulating their body temperature If the length of diagonal of square is 2 then what is the length of each side ? explain what you know about alchemy Materials fracture when the force per unit area, called STRESS, exceeds a critical value. In general, the critical stress depends on the direction as well as the magnitude of the force. For example, bones break differently when subjected to torsional (twisting) stress than when subjected to compressional (or squeezing) stress. Let us consider compressional stress. Wet human bone for 20-39 year olds has an ultimate compressive strength of 1.6x104N/cm2 81. Consider a person who falls from a height to the ground. Upon landing, the person's kinetic energy is converted to work. If the person decelerates over a distance ? h, we can estimate the average force during the collision by Kinetic Energy :-ny' . Work : | F d: Fah If a person lands stiff-legged on a hard surface and doesn't bounce, the deceleration occurs over a very short distance, ? h ~ 1 cm. Since the force is transmitted up the leg, the stress is greatest where the cross-sectional area is least, ie, the tibia just above the ankle [8]. The following lists some different conditions that may occur during landing and physical explanations for why they make bone fracture from a fall more or less likely [8: (a) bounce [more likely. The impulse is twice as large for an elastic collision as for an inelastic collision.] (b) bent knees less likely. Bending the knees increases the time and distance over which deceleration occurs, which reduces the force] (c) landing in loose earth or sand less likely. This increases A h which reduces F (d) turning the body to land on the side less likely. This increases ? h. It also distributes the force widely over the body (increases A)?thereby reducing the stress] According to the three value disciplines model, companies who primarily pursue customer intimacy values could use their technologies more on ______________. Determine the mass fraction of hydrochloric acid obtained by merging 100 cm3 of a solution of hydrochloric acid with a mass fraction of HCl 36% (density 1.180 g/cm3) and 50 cm3 of a solution of hydrochloric acid with a mass fraction of HCl 20% (density 1.100 g/cm3) Are the following languages context-free or not? If yes, specify a context-free grammar in BNF notation that generates the language. If not, give an informal argument.1.{anbmc | m> 0, n0,o > 0} , with alphabet , = {a,b,c}2. {anbmc | n 0, o > 0 } , with alphabet , = {a,b,c}3. {anbncn | n > 0 } , with alphabet = {a,b,c}4. { Anbn | n 0 } , with alphabet = {a,b}5. {wwR | w E and wR is w in reverse} , with alphabet = {a,b}6. {anbmcmdn | n 0, m 0 } , with alphabet = {a,b,c,d}7. {Anbmcmdn | n 0 , m 0 , with alphabet = {a,b,c, d}8. {anbncmdm | n 0 , m 0 = {a, b , c, d} 9. {ananbnbn | n 0 } with alphabet = {a,b}10. {w | w has more than 5 symbolz}, with alphabet = {a,b}Which of the languages are also regular languages, Le., can be expressed by a regular expression? Prove it by giving the regular expression that specifies the language. which of these assumptions are made in the rational model of decision making? Which type of forces are subjected in truss? Bacteria colonies can increase by 45% every 7 days. If you start with 200 bacteria microorganisms, how large would the colony be after 35 days? First, identify I, the starting amount. Future Amount = [?](1+ Remember: Future Amount = (1 + r)t "While," she said to you, "man is the child receiving into himself the cosmos itself, the cosmos grows larger, like a hole, the more she gives." Admittedly this was something impenetrable to your own comprehension. To you, whether what she said made sense or no, she was the cosmos. Which of the following trends of the 1920s is most clearly portrayed in this advertisement?A) The expansion of auto dealers throughout the countryB) the use of extended payment plans to purchase consumer goodsC) The emergence of General Motors as the largest companyD) The growth of middle-class incomes