A spherical tank with radius 3 m is half full of a liquid that has a density of 900 kg/m3. The tank has a 2 m spout at the top. Find the work W required to pump the liquid out of the spout. (Use 9.8 m/s2 for g.)

A Spherical Tank With Radius 3 M Is Half Full Of A Liquid That Has A Density Of 900 Kg/m3. The Tank Has

Answers

Answer 1

Answer:

  3.0549 MJ

Step-by-step explanation:

You want to know the work done to empty a half-full spherical tank of radius 3 m containing liquid of density 900 kg/m³ through a 2 m spout at the top of the tank.

Mass

The mass of the liquid is the product of its volume and its density. The volume of the hemisphere is ...

  V = 2/3πr³ = 2/3π(3³) = 18π . . . . . . cubic meters

Then the mass of the liquid is ...

  m = ρV = (900 kg/m³)(18π m³) = 16200π kg

Height

The centroid of the liquid is 3/8r below the center of the tank. The mass of liquid must be moved from that location to a point 2 m above the top of the tank. The total height the liquid must be moved is ...

  3/8(3 m) + 3m + 2m = 6.125 m

Work

The work done to lift the liquid is ...

  W = Fd = (m·g)d = (16200π kg)(9.8 m/s²)(6.125 m) = 972405π J

  W ≈ 3,054,900.4 J ≈ 3.0549 MJ

The work required is about 3.0549 megajoules.

__

Additional comment

We could find the incremental work to move a layer of liquid dy thick to the necessary height, then integrate over the depth of liquid. It is much easier to look up the centroid location for a hemisphere, and use that in the calculation.

We have used "m" to represent both mass and meters. We trust you can determine which is which from the context.

<95141404393>


Related Questions

Help please…………………………………..

Answers

Answer:

-4

Step-by-step explanation:

I hate calc nevertheless, factor the top number, cancel out x+2 and then plug in -2. Its simple once you see the pattern

[tex]\frac{x^2 - 4}{x+2} \\\frac{(x+2)(x-2)}{x+2} \\(x-2)\\-2-2\\-4[/tex]

-4 will be the answer !! :)

6 - Which statement best explains whether the following table represents a linear or nonlinear function?

x −2 −1 0 1 2
y −4 −2 0 2 −2

The table represents a nonlinear function because there is not a constant rate of change in the output values.

The table represents a nonlinear function because there is not a constant rate of change in the input and output values.

The table represents a linear function because there is a constant rate of change in the input and output values.

The table represents a linear function because there is not a constant rate of change in the input and output values.

Answers

Answer:

The table represents a linear function because the rate of change is constant or all the points lie on a straight line.

Step-by-step explanation:

From the given table it is noticed that the line passing through the points (2,5), (4,10), (6,15) and (8,20).

The slope of the line is

The slope of line is . It means the value of y increased by 5 if the value of x increased by 2.

From the given points we can noticed that the value of y increased by 5 if the value of x increased by 2. So, the function has same slope for any two points.

Since the rate of change (slope) is same for all points, therefore the table represents a linear function.

If we plot these points on a coordinate plane and connect then we get a straight line. I means it is a  linear function.

Y^2 + 6y+8 when y is -3

Answers

Answer: -19

y^2 + 6y + 8
-3^2 + 6 x -3 + 8
-9 + 6 x -3 + 8
=-19

26. Which function is increasing and decreasing over the same intervals as the function in the graph?

Answers

Answer:

B.y=(x+2)

Step-by-step explanation

A rectangle is twice as long as it is wide. If the width is w, the length is 2w. The area of the rectangle can be found using the expression 2w to the power of 2

If the rectangle is 10 centimeters wide, what is its area in square centimeters?

Answers

The area of the rectangle is 200 square centimeters

Area of rectangle

The area of a rectangle can be found by multiplying its length and width. In this case, the width is given as w and the length is given as 2w.

Therefore, the area of the rectangle can be found using the expression 2w^2.

If the width of the rectangle is 10 centimeters, we can substitute this value into the expression for the area to find the area in square centimeters.

Area = 2w^2

= 2(10)^2

= 2(100)

= 200 square centimeters

Therefore, the area of the rectangle is 200 square centimeters

Learn more about rectangle at https://brainly.com/question/28993977

#SPJ11

Estimate the product by rounding each number to the nearest 10 88 x 304

Answers

After rounding off the numbers product of the given numbers is 27000.

What is multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

The given number are 88 and 304.

Rounding each number to the nearest 10

That is, 88 to 90 and 304 to 300

Now, 88×304 can be written as

90×300

= 27000

Therefore, after rounding off the numbers product of the given numbers is 27000.

Learn more about the multiplication here:

https://brainly.com/question/1562995.

#SPJ9

The process standard deviation is 0. 15, and the process control is set at plus or minus one standard deviation. Units with weights less than 9. 85 or greater than 10. 15 ounces will be classified as defects. If required, round your answer for the probability of a defect to four decimal places and for the number of defects to the nearest whole number.

Answers

The probability of a defect units is 0.3174 by calculating the z-score of the greater than and less than value.

When the distribution is normal, we use the z-score formula.

Z = (X - μ)/σ

We have σ = 0.15 and units with weights less than 9.85 or greater than 10.15 ounces will be classified as defects.

μ = 10.15 - 0.15 = 9.85 + 0.15 = 10

Now, the probability that a unit is defective.

P(X ≥ 10.15)

1 subtracted by the pvalue of Z when X = 10.15

[tex]Z = \frac{10.15-10}{0.15}[/tex]

Z = 1 has a pvalue of 0.8413

1 - 0.8413 = 0.1587

P(X ≤ 9.85)

[tex]Z = \frac{9.85-10}{0.15}[/tex]

Z = -1  has a pvalue of 0.1587

P = P(X ≥ 10.15) + P(X ≤ 9.85)

P = 0.1587 + 0.1587

P = 0.3174

To know more about probability

https://brainly.com/question/14762333

#SPJ4

What is expression mean in math?

Answers

Answer: a type of equation

Step-by-step explanation:

It’s like an equation, except it isn’t set equal to something

PLEASE ANSWER ASAP I need help

Answers

Answer:

6

Step-by-step explanation:

F = 4 x 6 / 2^2

= 6

A 2-column table with 5 rows. The first column, number of snapdragons, x, has the entries 11, 12, 13, 14. The second column, number of daisies, y, has the entries 34, 33, 32, 31.
Hans is planting a garden with snapdragons and daisies. The table shows some possible combinations of the two plants. If Hans plants 29 daisies, how many snapdragons will he plant?

The equation
models the scenario.

Hans will plant
snapdragons.

Answers

Find the rate of daisies to snapdragons
(34-33) / (11-12) = 1 / -1 = -1

34 = -1(11) + b
34 = -11 + b
b = 45

So y = -x + 45
y = -29 + 45
y = 16

16 snapdragons

Solve. Please i need help with this.

Answers

The value of x and y in the equations are as follows:

x = -8

y = -1

How to solve system of equation?

System of equation can be solved using different method such as elimination method, substitution method and graphical method. Therefore, let's use elimination method to solve the equation.

Therefore,

8x - 8y = -8

-3x + 4y = -4

multiply equation(ii) by 2

8x - 8y = -8

-6x + 8y = -8

add the equations

2x = -16

x = -16 / 2

x = -8

Let's find y

-8y = -8 - 8x

-8y = -8 - 8(-8)

-8y = -8 + 16

-8y = 8

y = 8 / -8

y = -1

learn more on system of equation here: https://brainly.com/question/21620502

#SPJ1

Review the graph of a piece wise function.
At which value of x does the function have a jump discontinuity?

Answers

Given piecewise function has a jump discontinuity at 0 or x=0 i.e. B.

What exactly is a piecewise function?

A piecewise function is one that has multiple definitions in different x intervals. A piecewise function's graph is divided into parts that correspond to each of its definitions. A very excellent example of a piecewise function is the absolute value function. Let us investigate why it is thus named. We know that an absolute value function is defined as f(x) = |x|.

f(x)=(x if x≥0 ,

     -x  if x><0)

This piecewise function should be interpreted as

When x is higher than or equal to 0, f(x) equals x.

When x is less than zero, f(x) equals -x.

Now,

As jump discontinuity is defined as where the endpoint of one segment and the start of the following segment may have the same x coordinate but have different values of f(x). In the piecewise linear function, such a difference is known as a jump discontinuity.

and in the given graph that happened at x=0 or 0.

Hence,

         Given piecewise function has a jump discontinuity at 0.

To know more about piecewise function visit the link

https://brainly.com/question/12561612?referrer=searchResults

#SPJ1

4. If m/3 = 54°, find the measure of each missing angle.
a. m<1=
b. m<2=
c. m<4=
d. m<5=
e. m<6=
f. m<7=
g. m<8=
h. m<9=
i. m<10=
j. m<11 =
k. m<12 =
l. m<13 =
m. m<14 =

Answers

Note that if m/3 = 54°, then the measure of each missing angle are given as follows:

a. m<1= 36°

b. m<2= 90°

c. m<4= 36°

d. m<5= 90°

e. m<6= 45°

f. m<7= 126°

g. m<8= 54°

h. m<9= 126°

i. m<10= 45°

j. m<11 = 36°

k. m<12 = 144°

l. m<13 = 36°

m. m<14 = 144°

What is the rationale for the above response?

We are given three clues from which we solve the missing angles.

Clue 1: m∠3 given as 54°

Clue 2: m∠ 2 given as 90°

The two lines that (are now labeled AB and CD are parallel to one another. Thus:

a) ∠1, ∠2, and ∠3 are complimentary, ∠1 = 180 - (90+54) = 36°

b) ∠2 = 90° (given)

c) ∠4 = 36° (Opposite angles) ∠1 ≅ ∠4

d) ∠5 =90°  (Opposite angles) ∠2 ≅ ∠5

e) ∠6 = 54°  (Opposite angles) ∠13≅ ∠6

f) ∠7 = ∠1+∠2 (since Line EF is perpendicular to GH, (∠1+∠2) are corresponding angles to ∠7
g) ∠8 = 54° (∠3 and ∠8 are corresponding angles)

h) ∠9 = 126° (∠9 corresponds to ∠5 and ∠4; an alternate explanation is the angle on straight line (∠8 and ∠9) (180-54 = 126°)

i) ∠10 = 54° (∠6 and ∠10 are corresponding angles)

j) ∠11 = 36° (∠11 and ∠1 are corresponding angles)

k) ∠12 = 144° (∠12 corresponds to (∠2+∠3)

l) ∠13 = 36° ( ∠12 and ∠13 are supplementary angles)

m) ∠14 = 144° (∠12 and ∠14 are opposite angles)

Learn more about angles:
https://brainly.com/question/29796185
#SPJ1

9/16 divided by 7/ 10

Answers

Answer: 15/7

Step-by-step explanation:

9/16 / 7/10 = 9/6 * 10/7 multiply by recipricol to find answer

90/42

15/7 simplify

MTR
728. MODELING REAL LIFE Find the height of the roller
coaster using two different methods. Explain.
x ft
45°
283 ft

Answers

The height of the roller coaster is 200.11 feet

How to determine the height of the roller coaster

Method 1

Here, we make use of the cosine rule

So, we have

cos(45) = x/283

So, we have

x = 283 * cos(45)

Evaluate

x = 200.11

Method 2

Here, we make use of the sine rule

The sine can be calculated as

When x + y = 90;

sin(x) = cos(y)

This means that

sin(45) = cos(45)

So, we have

sin(45) = x/283

So, we have

x = 283 * sin(45)

Evaluate

x = 200.11

Hence, the height is 200.11 feet

Read more about trigonometry at

https://brainly.com/question/24349828

#SPJ1

Truman's father is designing a toy car ramp for him. His dad determined that the measure of angle x needs to be increased by 200 .






What is the measure of the new angle?



__ °

Answers

The measure of angle x needs to be increased by 200, the new angle would be the original measure of angle x plus 200 degrees.

What is the angle measurement?

A radian is the length of an arc formed by an angle that, when shown as a central angle, equals the length of the circle's radius.

If the measure of angle x needs to be increased by 200, we can simply add 200 to the original measure of angle x to find the new angle.

So, if the original measure of angle x is, for example, 30 degrees, the new angle would be:

New angle = 30 degrees + 200 degrees

New angle = 230 degrees

Therefore, if the measure of angle x needs to be increased by 200, the new angle would be the original measure of angle x plus 200 degrees.

To know more about angle measurement visit,

https://brainly.com/question/25716982

#SPJ1

Mrs. Flips sold 300 cookies for her bake
sale. She sold two types of cookies: large
chocolate chip and small peanut butter
cookies. She charged $1 for the chocolate
chip and 50-cents for the peanut butter
cookies and collected $270 total. How
many of each type did she sell?

Answers

Mrs. Flips sold 240 large chocolate chips.

Mrs. Flips sold 60 small peanut butter cookies.

How to write the required expressions?

In order to write the required expressions that models the situation, we would assign variables to the number of large chocolate chips and the number of small peanut butter cookies, and then translate the word problem into algebraic equation as follows:

Let the variable x represent the number of large chocolate chips.Let the variable y represent the total number of small peanut butter cookies.

Since Mrs. Flips charged $1 for the chocolate chip and 50-cents for the peanut butter cookies and collected $270 total, an expression that models the situation is given by:

x + 0.5y = 270

Additionally, she sold a total of 300 cookies:

x + y = 300

270 - 0.5y + y = 300

0.5y = 30

y = 60 small peanut butter cookies.

x = 270 - 0.5(60)

x = 240 large chocolate chips.

Read more on expression here: brainly.com/question/25767785

#SPJ1

In ΔXYZ, ∠X=17° and ∠Y=82°. ∠XWZ=90° and XY=700. Find the length of XW to the nearest integer.

Answers

The length of XW from the given triangle XYZ is 671.16 units.

What is sine rule?

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The formula for sine rule is sinA/a=sinB/b=sinC/c

Given that, in ΔXYZ, ∠X=17° and ∠Y=82°. ∠XWZ=90° and XY=700.

By using angle sum property,

∠X+∠Y+∠Z=180°

17°+82°+∠Z=180°

99°+∠Z=180°

∠Z=180°-99°

∠Z=81°

Now, YZ/sinX=XZ/sinY=XY/sinZ

YZ/sin17°=XZ/sin82°=700/sin81°

XZ/0.9902=700/0.9876

XZ/0.9902=708.78

XZ=701.83

Now, cos17°=XW/701.83

0.9563=XW/701.83

XW=0.9563×701.83

XW=671.16

Therefore, the length of XW is 671.16 units.

Learn more about the sine rule here:

https://brainly.com/question/22288720.

#SPJ9

Answer:671

Step-by-step explanation:

Alonso has x quarters and y dimes. He has no less than 18 coins worth a maximum of $3.60 combined. Solve this system of inequalities graphically and determine one possible solution.

Answers

Answer: A quarter is worth $0.25 and a dime is worth $0.10, so the total amount of money Alonso has can be represented by the expression 0.25x + 0.1y. To find one possible solution to the system of inequalities, we need to find the values of x and y that satisfy both the inequality 0.25x + 0.1y ≥ 3.60 and the inequality y ≥ 0.

The inequality 0.25x + 0.1y ≥ 3.60 represents all points (x, y) that are on or above the line 0.25x + 0.1y = 3.60. The inequality y ≥ 0 represents all points (x, y) that are above or on the x-axis. The intersection of these two regions is the solution set of the system of inequalities, which represents all points (x, y) that satisfy both inequalities.

To graph the solution set, we can start by plotting the line 0.25x + 0.1y = 3.60 and shading the region above the line. Then, we can plot the x-axis and shade the region above the x-axis. The intersection of the two shaded regions is the solution set.

One possible solution to the system of inequalities is the point (14, 4). This means that Alonso has 14 quarters and 4 dimes, which total $3.60. However, there may be other solutions to the system of inequalities that would also satisfy the conditions.

Step-by-step explanation:

Leah measured a line to be 2.1 inches long. If the actual length of the line is 2.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

Step-by-step explanation:

divide the required value by the total value and multiply by 100.

a/bx100= y

2.2 - 2.1 =0.1 inches

percentage of error=

0.1 / 2.2 x100

4.54 %

I need help from anyone!

Answers

Answer:

h = 10.0708 cm

Area of shaded region = 8.1841 [tex]cm^{2}[/tex]

Step-by-step explanation:

r = radius of circle

 = 14 cm

h = perpendicular height of triangle

Use SinФ trigonometric function to determine h

SinФ = [tex]\frac{Opposite}{Hypotenuse}[/tex]

Sin46° = [tex]\frac{h}{14}[/tex]

Cross-multiplication is applied:

∴h = (14)(Sin46°)

   h = 10.0708 cm (Rounded to four decimal places)

Area of sector = [tex]\frac{AngleOfSector}{360^{o}}[/tex] × ([tex]\pi r^{2}[/tex])

                         = [tex]\frac{46}{360}[/tex] × [tex]\pi (14^{2})[/tex]

                         = [tex]\frac{9016}{360} \pi[/tex] [tex]cm^{2}[/tex]
                       
 = 78.68 [tex]cm^{2}[/tex]


Area of triangle =
[tex]\frac{1}{2}[/tex] × (Base of triangle) × h

                           = [tex]\frac{1}{2}[/tex] × (14 cm) × [(14)(sin46°)]
                           = (98)(sin46°)

                           = 70.50 [tex]cm^{2}[/tex]

Area of yellow shaded region = Area of sector - Area of triangle

           = {[[tex]\frac{9016}{360} \pi[/tex]] - [(98)(sin46°)]} [tex]cm^{2}[/tex]

           = 8.1841 [tex]cm^{2}[/tex]  (Rounded to four decimal places)

Sample response: Find the difference between two integers by adding the additive inverse. The distance is the absolute value of the difference. Check the distance by plotting the original two integers on a number line and counting the units between them. Which did you include in your answer? Check all that apply

Answers

Based on the information, the integer used will be (10 - 4). The difference is 6.

On a number line, there'll be 6 units between the numbers

How to explain the information

To find the difference between two integers by adding the additive inverse, we can follow these steps:

Subtract the smaller integer from the larger one: (larger integer) - (smaller integer).

Take the absolute value of the result to get the distance between the two integers on a number line.

The distance between two integers is the absolute value of the difference, so we do not include the sign in our answer. The answer will always be a non-negative number.

By plotting the two integers on a number line and counting the units between them, we can visualize the distance between them.

Learn more about integer on:

https://brainly.com/question/929808

#SPJ1

What's the difference between right circular cylinder and cylinder?

Answers

The difference between a right circular cylinder and a cylinder is that a right circular cylinder has a circular base and is perpendicular to the base, whereas a cylinder can have any shaped base and the sides do not have to be perpendicular to the base.

A right circular cylinder has a circular base and its sides are perpendicular to the base, forming a right angle. This means that the axis of the cylinder is at a right angle to the base.

On the other hand, a cylinder can have any shaped base, such as a rectangle or an ellipse, and the sides do not have to be perpendicular to the base. This means that the axis of the cylinder can be at any angle to the base.

In summary, the main difference between a right circular cylinder and a cylinder is the shape of the base and the angle of the sides to the base. A right circular cylinder has a circular base and perpendicular sides, while a cylinder can have any shaped base and the sides can be at any angle to the base.

Learn more right circular cylinder here:

https://brainly.com/question/30517598

#SPJ11

Use the drawing tool(s) to form the correct answer on the provided graph.
Draw the resulting image after the given triangle is rotated 90° counterclockwise about the origin.
Drawing Tools
Select
Point
Line Segment
Click on a tool to begin drawing
Reset
<+
Delete Undo
10

Answers

A graph of the resulting image after the given triangle is rotated 90° counterclockwise about the origin is shown in the image below.

What is a rotation?

In Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).

By applying a rotation of 90° counterclockwise to the vertices of triangle ABC, the coordinates of the vertices of the image are as follows:

(x, y)                               →            (-y, x)

Ordered pair A  = (-5, 7) → Ordered pair A' = (-(7), -5) = (-7, -5).

Ordered pair B  = (-8, 3) → Ordered pair B' = (-(3), -8) = (-3, -8).

Ordered pair C  = (-2, 6) → Ordered pair C' = (-(6), -2) = (-6, -2).

Read more on rotation here: brainly.com/question/28854313

#SPJ1

I NEED HELP ASAP!!!

Answers

Answer:

A. B is correct

B. A is correct

C. B is correct

Step-by-step explanation:

Area of triangle: A = 1/2bh

A. Area of each triangle: A = 1/2 x 11.5 x 12 = 69

Total surface areas = 4(area of triangle) + area of square = 4(69) + 12^2 = 420

So A is incorrect and B is correct

B. Area of triangle: A = 1/2 x 13.9 x 16 = 111.2

Surface area = 4(area of triangle) = 4(111.2) = 444.8

So A is correct and B is incorrect

C. Area of triangle with base of 10: A = 1/2 x 10 x 7 = 35

Area of triangle with base of 8.1: A = 1/2 x 8.1 x 16 = 64.8

Total surface areas = 2(area of triangle base of 10) + 2(area of triangle base of 8.1) + area of rectangle = 2(35) + 2(64.8) + (10x8.1) = 280.6

So A is incorrect and B is correct.

A triangle has side lengths measuring 2x + 2 ft, x + 3 ft,
and n ft.
Mark this and return
Which expression represents the possible values of n,
in feet? Express your answer in simplest terms.
O x-1 On = 3x + 5
On=x-1
O 3x+5 Save and Exit
Next
Submit

Answers

The possible value of n in the triangle given is, n < 3x+5

What is a triangle?

The triangle is a polygon with three side, vertex, and angles.

Given that, a triangle has side lengths measuring 2x + 2 ft, x + 3 ft,

and n ft.

We asked to find the expression that represents the possible values of n.

We know that,

The sides of a triangle rule assert that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

Therefore,

2x+2+x+3 = 3x+5

Thus, the possible value of n is,

n < 3x+5

Hence, the possible value of n in the triangle given is, n < 3x+5

Learn more about triangles, click;

https://brainly.com/question/2773823

#SPJ9


Twelve miles is approximately equal to 6 km. How many km are equal to 18 miles? How many miles are
equal to 42 km? Draw a tape diagram below to solve.

Answers

Answer:

below

Step-by-step explanation:

12m=6km

divide both by 6

2m=1km

how many km is equal to 18m?

18m=9km

how many m are equal to 42km?

42km=64m

never gonna give you up, never gonna let you down

ASAP need help with this question

Answers

answer: 204!!!

tn = a + (n-1)d

a is the first value

n is the position

d is the difference

t(50) = 8+(50-1)(4)

t(50)= 204

SIMPLIFY THE MONOMIAL. YOUR ANSWER SHOULD CONTAIN POSITIVE EXPONENTS ONLY.

Answers

Based on the information, the equation can be simplified as follows: 7xy - 2x² - y

How do you simplify an equation?

To simplify an equation we must carefully observe all the values that make up the equation. Once we identify the values with the same symbols, (x or y) we can group them. According to this procedure we can group the values of x as shown below:

7xy - 2x² - and

In this case the 2x was added with the 5x to form the 7x. In the case of 2x², it cannot be added with the other values of x because it has an exponent of ².

Learn more about equations in: https://brainly.com/question/29657983

#SPJ1

Jon tossed a standard die several times. He got the number "4" on 5 of the tosses. Based on theoretical probabilities, what is the best estimate of the total number of times he tossed the cube? A) 20 times B) 60 times C) 30 times D) 10 times​

Answers

Based on theoretical probabilities, the best estimate of the total number of times Jon tossed the cube would be 60 times. The probability of rolling a "4" on a standard die is 1/6. If Jon got "4" on 5 of the tosses, then the total number of tosses would be 5/ (1/6) = 30 tosses. To find the best estimate of the total number of tosses, it is common to round up to the nearest multiple of 10, which in this case would be 60. Therefore, the best estimate would be 60 times (Option B).

Other Questions
This weeks chapter of The Sports Gene focused on the "10,000 hours rule", or the idea that a person can become an elite athlete by deliberately practicing their sport over thousands of hours. The main example that was looked at was the case of high jumper, Stefan Holm, who is one of the top high jumpers in the world despite the disadvantage of having a shorter height. He started training from a very young age and follows a very specific training plan which has led him to success in the sport. Comparatively, the book looked at another high jumper, Donald Thomas, who picked up the sport later in life and was not as trained in the technicalities of high jumping.One of the distinguishing characteristics of the athletes that is interesting is the achilles tendon in each of them. When Holms achilles was studied, they found that it had become so stiff over time that it required quite a bit of force to bend it, making it act as a spring. This is a characteristic that was developed over time with training. Thomas, on the other hand had a very long achilles relative to his height which is something that cannot be developed over time. It is interesting to see how different characteristics of the achilles are beneficial for the same sport and that they are acquired in different ways.I dont believe that the 10,000 hour rule is relevant to all sports or to all people. In the case of Holm, it probably did apply to him due to him not being naturally built like most professional high jumpers. He was obviously very dedicated to the sport and putting in the deliberate practice is what helped him become successful. However, some people are naturally gifted athletes who can pick up a sport much more easily than the average person.Refer to one or more details from the text to support your understanding of what made Donald Thomas a successful high jumper? a boy on a skateboard pushes off the ground with his foot. he and the skateboard accelerate down the sidewalk due to the force the following statements are all true. which one counts as an exception to the rule in being unusual for our solar system?a. Venus does not have a moon.b. Jupiter has a very small axis tilt.c. The diameter of Earth's Moon is about 1/4 that of Earth.d. Saturn has no solid surface. A box contains cards, number 1 to 90. A card is drawn at random from the box. Find the probability that the selected card bears a:(i) Two-digit number.(ii) Perfect square number A 16-g ball at the end of a 1. 4-m string is swung in a horizontal circle. It revolves once every 1. 09 s. What is the magnitude of the string's tension?. It is solving for, the elimination tom works for a companyhis normal rate of pay is 15 per hour In your composition for a love story, what kind of van arrived in the middle of the wedding ceremony on the beach?A. SportsB. Ice creamC. Hot dogD. Band what occurred during the glorious revolution? the lowest note on a grand piano has a frequency of 27.5 hzhz. the entire string is 2.00 mm long and has a mass of 400 gg. the vibrating section of the string is 1.90 mm long.part awhat tension is needed to tune this string properly?express your answer with the appropriate units.activate to select the appropriates template from the following choices. operate up and down arrow for selection and press enter to choose the input value typeactivate to select the appropriates symbol from the following choices. operate up and down arrow for selection and press enter to choose the input value typetsts What is charge of sulfate? Character traits of Annabelle in Wolf Hollow chapter 21? 27. Which situation can be correctly summarized by the equation, y = 5x + 15? if you have started a business, or are doing a business where you do not expect to prepare a full business plan, a stand-alone marketing plan might be useful t/f When two linear transformations are performed one after another, the combined effect may not always be a linear transformation. Choose the correct sin q) cos q) answer below. 0 A. True. When different types of transformations are combined, such as a rotation and a skew, the transformation is not linear except for a few special 0 B. False. A transformation is linear if T(u + v)=T(u) + T(v) and T(cu)= cT(u) for all vectors u, v, and scalars c. The first transformation results in some cases vector u, so the properties of a linear transformation must still apply when two transformations are applied True. When one transformation is applied after another, the property of a linear transformation which reads T(u + v)= T(u) +T(v) for vectors u and v will not be true. In these cases, T(u +v) instead equals T(u)T(v). C. 0 D. False. The combined effect of two linear transformations is always linear because multiplying two linear functions together will result in a function which is also linear. What is the opposite of superior? a number (n) is increased by 10 and the result is doubled. If this result is 5 less than three times the original number (n) , what is the value of (n) Write an outline for an expository essayWrite an outline using either the point by point or the extended method of organization for a comparison or contrast paper. Be sure to properly indent for subpoints and details. If you need to, consult the discussion on outlines in the previous lesson "Approaches to Nonfiction," section 2.PLEASE DONT SHOW ME THE FORM AND MEANING OF AN OUTLINE BUT INSTEAD GIVE ME AN ACTUAL OUTLINE WITH IDEAS :) THANKS. The importance of natural sciences and technology as a compulsory school subject in the intermediate phase The following sample space could represent which reapeted expirement S[WW,WL,LW,LL]