If a fictional shrinking man shrinks proportionately to 1/10 his original height, his weight will be multiplied by

Answers

Answer 1

The final weight will be reduced by 1/10 of its original weight.

What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is a fictional shrinking man shrinks proportionately to 1/10 his original height.

Assume the weight to be [W]. Then -

W = mg

m = ρV {ρ is density}

Then -

W = ρVg

Assume the body to be cylinder of radius [r] and height [h], we can write-

W = πr²ρgh

Than, the initial weight will be -

W = πr²ρgh

After Shrinking -

W' = πr²ρgh/10

Then -

W'/W = {πr²ρgh/10}/{πr²ρgh}

W'/W = πr²ρgh/10 x 1/πr²ρgh

W'/W = 1/10

W' = W/10

Therefore, the final weight will be reduced by 1/10 of its original weight.

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Related Questions

Sonya has four straws of different lengths: 2cm,8cm,14cm,and 16cm. How many triangles can she make using the straws?

Answers

You cant make a triangle with the combination 2,8 and 14, nor 2, 8 and 16 nor 2 , 14 and 16.
You can make a triangle with 6, 14 and 16 straws.

The answer is one triangle

Im assuming you are not allowed to stick together any of the straws

There is no way to make a triangle with numbers 2,8,14, nor 2,8,16, nor 2,14, and 16. Using 6, 14, and 16 straws, you can form a triangle.

I'm guessing you're not supposed to stick any one of the straws together. Kindly see the accompanying document for more information. As a result, B is represented by one triangle. All two sides add up to more than the third side. As a result, the difference between the two sides is less than the difference between the first and third sides.

Therefore, the final answer is "one triangle".

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A graphic artist earns $22 an hour, and she works 44 hours a week. What is her weekly wage?

A. $154
B. $308
C. $66
D. $968

Answers

($22/h)*(44h) = $(22*44) = $968 . . . . . matches selection D

Answer:

The answer is option D. The weekly wage is $968.

Step-by-step explanation:

The weekly salary can be found multiplying the earned money per hour and the amount of hours worked in the week:

[tex] Wweek=22\ \$/hr* 44\ hr/week[/tex]

[tex] Wweek=968\ \$/week[/tex]

10 POINTS + BRAINLIEST ANSWER!!!

65x + y = 455

A grocery store receives a shipment of oranges and consistently sells the same number of oranges each day. The equation above models the number of oranges, y, that remain x days after the shipment is received. What does it mean that (7, 0) is a solution to the equation?

A. It takes 7 days after the shipment until none of the oranges are remaining.

B. There are 7 oranges in the shipment.

C. It takes 7 days for orange to be sold to 455 customers.

D. After the shipment, 7 oranges are sold each day.

Answers

A. It takes 7 days after the shipment until none of the oranges are remaining.

A. it takes 7 days after the shipment until none of the oranges are remaining.

Two sides of a triangle have lengths 5 in. and 16 in. Describe the possible lengths of the third side.

5 < x < 21

5 < x < 16

16 < x < 21

11 < x < 21

Can you construct a triangle that has side lengths 11 cm, 12 cm, and 15 cm?

no

yes

Answers

yes, 3rd one please help me out too

Answer:

11 < x < 21

Yes

how many 1020 flats can fit on (2) 8'x4' tables?

Answers

32 flats will fit on 2 8' by 4' tables.

The dimensions of each 1020 flat is 11" by 22". We will convert the measurements of the table to inches. 8(12) = 96". 4(12) = 48". If we lay the longest edge of the flat side along the long edge of the table, 4 flats will fit along it with 8 inches left over. This would put the smaller edge of the flat along the smaller edge of the table, which would allow for 4 rows of 4, or 16 flats on each table. 16*2=32 flats between both tables.

This works out the same if we turn the flats around. Let the smaller edge of the flat, 11", be along the longer edge of the table, 96". This would allow for 8 flats. This puts the longer edge of the flat, 22", along the shorter edge of the table, 48"; this puts 2 rows of 8, which would be 16 flats on each table, for a total of 32 flats.

A sign standing 6 feet tall is situated 18 feet away from a flag pole. at a certain time of day the sign's shadow is 3 feet long and the flagpole's shadow is 24 feet long. how tall is the flagpole?

Answers

Observe attached picture.

On picture we have:
A = height of flagpole = x ft
B = length of flagpole's shadow = 24 ft
C = height of sign = 6 ft
D = length of sign's shadow = 3 ft

When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.

We can apply trigonometry rules to find height of flagpole.

From small triangle containing sign we can find tangens function:
[tex]tan \alpha = \frac{C}{D} [/tex]
Similarly we can do for large triangle containing flagpole:
[tex]tan \alpha = \frac{A}{B} [/tex]

We see that these two equations have same left sides. This means that their right sides must also be same:
[tex]\frac{C}{D} = \frac{A}{B}[/tex]
We can solve for A:
[tex]CB=AD \\ A= \frac{CB}{D} \\ A= \frac{6*24}{3} \\ A=48 ft[/tex]

Height of flagpole is 48 feet.

helppppppppppppppppppppppppp

Answers

Answer:
x = 10 units

Explanation:
First, let's consider the smaller triangle.:
It is a right-angled triangle, therefore, we can use the special trig functions.
tan θ = opposite / adjacent
tan 45 = opposite / 5
opposite = 5

Now, for the larger triangle:
It is also a right angled triangle which means that we can use the special trig functions.
sin θ = opposite / hypotenuse
sin (30) = 5 / x
x = 10 units

Hope this helps :)

A room's length is 3 feet less than twice its width. The area of the room is 135 square feet. What are the room's dimensions?

Answers

A room's length is 3 feet less than twice its width. The area of the room is 135 sq feet. What are the room's dimensions?

Hope this helps:

A= L x W
135 = (2w-3)(W)
135 = (2w squared - 3W)
135 = 2w^2-3w
2w^2-3w-135 = 0
-----

Use the quadratic formula to get:
w = [3 +- sqrt(9 - 4*2*-135)]/4

Positive solution:
w = [3 + sqrt(1089)/4
w = [3 + 33]/4
w = 9 ft
L = 2W-3 = 2*9-3 = 15 ft.

If the width is w, the length is l = 2w-3.
The total area is length x width = w*(2w-3)
Solve
w*(2w-3)=135 to find w.
2w^2-3w-135=0

w = (3 +/- sqrt ( 9 +8*135))/4

The positive solution is
w = ( 3 + 33) /4 = 9 and then l = 15.

The dimensions of room are: Length = 15 feet and Width = 9 feet.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

we have,

A room's length is 3 feet less than twice its width.

The area of the room is 135 square feet.

let the width be x then length = 2x - 3.

So, Area of Room

135 = l w

135 = x (2x- 3)

2x² - 3x - 135= 0

2x² + 15x - 18x - 135 = 0

x (2x+ 15) - 9 (2x- 15)= 0

(2x+ 15)(x- 9)=0

x= -15/2 or x= 9.

Thus, the dimensions of room are:

Length = 2(9)-3 = 15 feet

Width = 9 feet

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If PQRS is a parallelogram, what is the value of Y

Answers

1/4(y) = 13
y = 13 * 4
y = 52

answer
C. 52

Answer:

Step-by-step explanation:

did the question

PLEASE HELP MEEEE
Describe the relationship of input and output values for composite functions.

Answers

A COMPOSITE FUNCTION IS A COMBINATION OF TWO FUNCTIONS SUCH THAT THE OUTPUT FROM THE FIRST FUNCTION BECOMES THE INPUT FOR THE SECOND FUNCTION.
IN A COMPOSITE FUNCTION f[g(x)], SOMETIMES WRITTEN (fog) (x), THE OUTPUT OF FUNCTION G IS THE INPUT TO FUNCTION F.

helppppppppppppppppppppppppp

Answers

Slope formula is

[tex] \frac{y2-y1}{x2-x1} [/tex]
[tex] \frac{5-1}{-2-3} [/tex]
[tex] \frac{4}{-5} [/tex]

So -4/5 is the right answer.

Hope this helps :)

Medals please help

Which of the following is the statement of the triangle inequality theorem?
A. The sum of the measures of any two angles of a triangle is greater than the measure of the third angle.
B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
C. The longest side of a triangle is opposite the largest angle.
D. The largest angle of a triangle is between the two longest sides.,

Answers

the triangle inequality theorem simply states, The sum of the lengths of any two sides of a triangle is greater than the length of the third side. your answer is B.

In the United States the speed limit signs are in miles per hour. Unfortunately, your speedometer only reads in km/hour. How fast are you allowed to go if the speed sign says 70 mph (rounded to the nearest hundredth)

Answers

The correct answer is 112.65 kph

Answer:

The speed limit will be 112.65 kph.

Step-by-step explanation:

In order to find how fast one can go when speed sign says 70mph and the speedometer reads in km per hour we convert mph to kmph.

The conversion unit is 1mph= 1.609344kph

So 70mph = 70x1.609344=112.6541kph

Or 70mph=112.65 kph

One can travel at 112.65 kph.

Hey, if I could get some help on this i'd really appreciate it.

QUESTION 1

What is the constant of variation for the quadratic variation?
0.1y = 3x^2

0.03

0.1

30

3

QUESTION 2

What is the constant of variation for the quadratic variation?
10y = 6x2

6

1.6

10

0.6

QUESTION 3

If f(x) varies directly with x^2, and f(x) = 96 when x = 4, find the value of f(2).

32

24

72

192

QUESTION 4

Write a quadratic variation equation if g(x) varies directly with x^2, and g(x) = 98 when x = 7.

g(x) = 2x^2

g(x) = 7x^2

g(x) = 1/2x^2

g(x) = 14x^2

Answers

1) When you rewrite the equation as
.. y = kx^2
The value of k is 3/0.1 = 30.

2) When you rewrite the equation as
.. y = kx^2
The value of k is 6/10 = 0.6.

3) f(x) = kx^2
.. k = f(x)/x^2 = 96/4^2 = f(2)/2^2
.. f(2) = 96(2/4)^2
.. f(2) = 24

4) g(x) = kx^2
.. 98 = k*7^2 = 49k
.. k = 98/49 = 2
g(x) = 2x^2

A right rectangular prism has a square base and a height of 9 feet. its volume, v, is 144 cubic feet. what is the length of s, the sides of the base?

Answers

Volume of the rectangular prism = base area x height

Given that the volume is 144 ft³ and height is 9 ft

volume = base area x height
144 = base area x 9
base area = 144 ÷ 9
base area = 16 ft²

The base is a square which means both sides are of the same length
area = length x length
16 = length²
length = √16
length = 4 ft

s, the side of the base is 4 ft

The length of the sides of the base of a rectangular prism is 4 feet.

Given that, a right rectangular prism has a square base and a height of 9 feet.

What is a rectangular prism?

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.

Volume of a rectangular prism = Area of a base × Height.

Here, the volume of a rectangular prism = 144 cubic feet

Area of base = Area of a square = s²

So, 144 = s² × 9

⇒ s² = 16

⇒ s = 4 feet

Therefore, the length of the sides of the base of a rectangular prism is 4 feet.

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The area of a rectangular hotel room is 209 square feet. the perimeter is 60 feet. what are the dimensions of the room?

Answers

A) x * y = 209
B) 2x + 2y = 60

A) y = 209 / x putting this into equation B

B) 2x + (2 * 209 / x) = 60
2x + 418 / x = 60 multiplying by x
2x^2 + 418 = 60x
2x^2 -60x + 418 = 0
Solving by quadratic formula
x = 19
y = 11

please help asap! 54 points

Answers

slope = (2+2)/(6-3) = 4/3
a)
point slope intercept
y + 2 = 4/3(x - 3)

standard form
y + 2 = 4/3(x - 3)
3y + 6 = 4x - 12
- 4x + 3y = -18 ..........this is standard form

Answer is C
y + 2 = 4/3(x - 3); -4x + 3y = -18

slope = (2 - (-2)) / (6-3) = 4/3

point-slope from is

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

y + 2 = (4/3) (x - 3) is the equation in point slope form

Standard form is -4x + 3y = -18

The answer is C

the diameter of a bike is 90cm. How far would it travel after 5 revolutions?

Answers

we know that
[length of a circumference]=2*pi*r
diameter=90 cm-------------> r=d/2--------> r=45 cm
[length of a circumference]=2*pi*45----------> 90*pi cm

with 1 revolution will go the length of the wheel

if 1 revolution is-------------------> 90*pi cm
5 revolution is--------------------> X
X=5*90*pi----------> 1413 cm

the answer is 1413 cm

Juliana and Maria logged a total of 90 hours working for their dad. Juliana worked 2 hours more than three times as much as Maria. How many hours did Juliana work?

Answers

Answer:
Juliana worked 68 hours

Explanation:
Assume the hours logged by Juliana is x
Assume the hours logged by Maria is y

We are given that:
1- Total hours logged by both is 90. This means that:
x + y = 90
This equation can be rewritten as:
x = 90 - y ...........> equation I

2- Juliana worked 2 hours more than 3 times as much as Maria. This means that:
x = 3y + 2 ...........> equation II

Substitute with equation I in equation II and solve for y as follows:
x = 3y + 2
90 - y = 3y + 2
88 = 4y
y = 22

Substitute with y in equation I to get x as follows:
x = 90 - y
x = 90 - 22
x = 68

Based on the above:
Hours logged by Juliana = x = 68 hours
Hours logged by Maria = y = 22 hours

Hope this helps :)

Let

x---------> the hours logged by Juliana

y---------> the hours logged by Maria

we know that

[tex]x+y=90[/tex] ---------> equation [tex]1[/tex]

[tex]x=3y+2[/tex] ---------> equation [tex]2[/tex]

Substitute equation [tex]2[/tex] in equation [tex]1[/tex]

[tex](3y+2)+y=90[/tex]

[tex]4y+2=90[/tex]

[tex]4y=90-2[/tex]

[tex]4y=88[/tex]

[tex]y=88/4[/tex]

[tex]y=22\ hours[/tex]

Find the value of x

[tex]x=3y+2[/tex]

[tex]x=3*22+2[/tex]

[tex]x=68\ hours[/tex]

therefore

the answer is

Juliana worked [tex]68\ hours[/tex]

Write the expression as either the sine, cosine, or tangent of a single angle

Answers

We'll use this trig identity
cos(x-y) = cos(x)cos(y) + sin(x)sin(y)
where in this case,
x = pi/3
y = pi/5

So,
cos(x-y) = cos(x)cos(y) + sin(x)sin(y)
cos(pi/3-pi/5) = cos(pi/3)cos(pi/5) + sin(pi/3)sin(pi/5)
cos(pi/3)cos(pi/5) + sin(pi/3)sin(pi/5) = cos(pi/3-pi/5)
cos(pi/3)cos(pi/5) + sin(pi/3)sin(pi/5) = cos(5pi/15-3pi/15)
cos(pi/3)cos(pi/5) + sin(pi/3)sin(pi/5) = cos(2pi/15)

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

The answer is cos(2pi/15) which can be written as [tex]\cos\left(\frac{2\pi}{15}\right)[/tex]

Identify the factors of 9x2 + 30x + 25.

A) (3x − 5)(3x − 5)
B) (3x + 5)(3x + 5)
C) (9x + 5)(x + 5)
D) (9x − 5)(x − 5)

Answers

Selection B is appropriate.

_____
The signs of the coefficients tell you the binomial factors must have both signs positive (selections B and C only). Selection B produces an x-term that is 15x+15x=30x (as we want); selection C produces an x-term that is 45x+5x=50x (not what we want).

Answer:

B is correct

Step-by-step explanation:

The signs of the coefficients tell you the binomial factors must have both signs positive (selections B and C only). Selection B produces an x-term that is 15x+15x=30x (as we want); selection C produces an x-term that is 45x+5x=50x (not what we want).

Lamar has a summer job. He gets paid $7.25 an hour and a $150 bonus at the end of summer. The total Lamar earns can be modeled by the equation f(h) = 7.25h + 150, where h is the number of hours he works. In what form is the equation?

Answers

Final answer:

The equation representing Lamar's summer job earnings is in linear form with a constant rate of change represented by 7.25 and a vertical intercept of 150, which is his end-of-summer bonus.

Explanation:

The equation provided, f(h) = 7.25h + 150, is in linear form. This type of equation is used to model a relationship where the dependent variable, f(h), which represents Lamar's earnings, changes at a constant rate with respect to the independent variable, h, which represents the number of hours worked. The number 7.25 represents Lamar's hourly wage, while the 150 represents a fixed bonus amount he receives at the end of the summer, making it the constant term or vertical intercept when graphed on a coordinate plane.

The measures of exterior angles of a regular polygon with n numbers of sides ______ as n increases.

increases
decreases
remains the same,

Answers

the answer to this i increases.

The answer is Increases!

answer asap Malia created a correct function table using the equation g = 4f.

Which table could be Malia's?

A.

B.

C.

Answers

answer is A.
hope I helped

What is the volume of a cube whose edges each have a measure of 1.5 cm?

A)2.25 cm³

B)3.375 cm³

C)4.5 cm³

D)9 cm³

I saw this question and I realized that it had the wrong answer. The actual answer is 3.375cm

Answers

b) 3.375 [tex] cm^{3} [/tex]

Hope this helped!

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Given a polynomial f(x) of fifth degree and g(x) such that
1. a root at 3i
2. a root at 2+4sqrt(3)
3. a root at -1/3
and that f(1)=-7520
Find polynomial f(x) as a product of its factors.

Given the three roots, we can conclude that the two other roots are the conjugates, namely -3i and 2-4sqrt(3).
Since
(x+3i)(x-3i)=x^2+9, and
(x-2+4sqrt(3))(x-2-4sqrt(3)=x^2-4x-44
We conclude that polynomial f(x) has the form
f(x)=a(x^2+9)(x^2-4x-44)(3x+1)
where a is a constant to be determined.

Knowing that f(1)=-7520, we can substitute x=1 in f(x) to get
-7520=a(1^2+9)(1^2-4(1)-44)(3+1)=a(10)(-47)(4)
=>
a=-7520/(-1880)=4

Therefore the polynomial f(x) is defined as

f(x)=4(x^2+9)(x^2-4x-44)(3x+1)
or
f(x)=4(3x+1)(x^2+9)(x^2-4x-44)

The root at -1/3 means that (3x+1) is a factor.

The root at 3i means that (x -3i)*(x +3i) = (x^2 +9) is a factor.

The root at 2 +4√3 means that (x -2 -4√3)*(x -2 +4√3) = (x^2 -4x -44) is a factor.

Evaluated at x=1, the product of these factors is (4)*(10)*(-47) = -1880, so there is an additional factor of -7520/-1880 = 4.

The intercept form of the polynomial is
.. y = 4(3x +1)*(x^2 +9)*(x^2 -4x -44)

which equation has (2, -1) as a solution?

A. y = 2x - 1
B. y = x + 3
C. y = x - 3
D. y = -2x + 1

If someone could explain this to me it would be greatly appreciated. Thank you.

Answers

(x,y) is a solution to an eqn when y = mx + c

A. 2(2)-1 = 3 <>-1

B. 2+3 = 5<>-1

C. 2-3 = -1 = y

so C has (2,-1) as a solution

In a drawing of the solar system, the scale is 1 mm = 500 km. for a planet with a diameter of 6,000 km, what should be the diameter of the drawing of the planet?
12 mm
120 mm
6,000 mm
3,000,000 mm

Answers

1 mm : 500 km
Multiply the above equation by 12 to get
12 mm : 6000 km

The 1st selection is appropriate.

What is the measure of angle S?

Answers

subtract 86-42... the answer is 44 degrees

A bicycle store costs $1700 per month to operate. The store pays an average of $75 per month. The average selling price of each bicycle is $95. How many bicycles must the store sell each month to break even?

Answers

The formula in computing the break-even point is:

Break-even = fixed cost / contribution margin

The fixed cost is already given which is $1700 per month. To compute for the contribution margin, you have to deduct the average cost per month ($75) to the selling price of each bicycle ($95). The contribution margin is $20 ($95 - $75).

Substituting the amounts to the formula:

Break-even = $1,700/$20

= 85

Therefore, the store must sell 85 bicycles each month to break even.

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