The maximum weight that a circular column can hold is inversely proportional to the square of its height. If an 8 foot column can hold 2 tons, find how much weight a 10 foot column can hold.

Answers

Answer 1

Answer: 3 tons

Step-by-step explanation: first I figured out how much 2 tons was which is 4000 pounds and then I divided 4000 by 8 which told me that each foot can hold 500 pounds So then I just did 500×10 which is 5000 pounds which is 3 tons

Answer 2

If an 8-foot column can hold 2 tons, then a 10-foot column can hold 1.28 tons.

What is proportion?

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, The maximum weight that a circular column can hold is inversely proportional to the square of its height.

w ∝ 1/h² or w = k(1/h²).

An 8-foot column can hold 2 tons which is,

2 = k(1/8²).

2 = k(1/64).

k = 128.

Now, 10 feet column can hold,

w = 128(1/10²).

w = 128/100.

w = 1.28 tons.

learn more about proportion here :

https://brainly.com/question/7096655

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Related Questions


A sporting goods company ships their baseballs in
cartons that hold 48 balls. How many cartons will
hey need to ship 1,400 baseballs?
ons?

Answers

Pretty sure it’s 30 cartons
it’s 29.1 cartons but if you round then it will be 30 :)

Please help me help help me please help me out please please help please help me please please

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Answer:

c

Step-by-step explanation:

Write the product using exponents.
(-0.9)×(-0.9)×(-0.9)

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Answer:

-0.9³

Step-by-step explanation:

that's the answer hope it helps

Answer:

(-0.9)×(-0.9)×(-0.9)

(-0.9)^3

is y=1/2x^2+5x-10 up or down

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Answer:

it is up

Step-by-step explanation:

I NEED HELP!!!!!!!!!!

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Answer:

C

Step-by-step explanation:

It is C because two sides are the same so isosceles


Find the equation of a line
Possing through the point (1,2)
A with slope m=3
B) and also
passing through Point (3,-2)

Answers

Answers:

y=2x2−20x+51

Step-by-step explanation:

Vertex:

(5,1)

Focus:

(5,98)

Axis of Symmetry:

x=5

Directrix:

y=78

1) A(1;2) and slope=3.

slope-interception form is y=s*x+i, where s - slope, i - interception.

if to substitute the given coordinates and slope into the equation, then 2=3*1+i, ⇒ i=-1. It means, the required equation is:

y=3x-1.

2) A(1;2) and B(3;-2).

the common form is:

[tex]\frac{x-X_B}{X_A-X_B} =\frac{y-Y_B}{Y_A-Y_B}.[/tex]

If to substitute the given coordinates into the common form, then:

[tex]\frac{x-3}{1-3} =\frac{y+2}{2+2} ; \ => \ \frac{x-3}{-2} =\frac{y+2}{4}; \ => \ y=-2x+4.[/tex]

f(x) = 12 + x
X
f(x)
-3
-1
0
4
6

Answers

9514 1404 393

Answer:

  (-3, 9), (-1, 11), (0, 12), (4, 16), (6, 18)

Step-by-step explanation:

The function definition tells you that adding 12 to the x-value will give you the value of f(x).

  -3 +12 = 9, for example

The (x, f(x)) values for the table are shown above.

I don’t understand this

Answers

Answer:

sqrt 9 to 3, sqrt 100 to 10, sqrt 64 to 8, 3 root of 343 is 7 same as 343^1/3 and  cube root of 216 goes to six. doesn't matter the order. Match them correctly. You need to learn how to do this.  

Step-by-step explanation:

what is the slope intercept form​

Answers

Answer:

[tex]y = \frac{4}{3} x - 4[/tex]

Hope it helped:)

Using the graph as your guide, complete the following statement.
The discriminant of the function is _____ .

Answers

Answer:

positive

Step-by-step explanation:

the discriminant of the function is postive.

because from the graph we notice that it has 2 intercepts on x-axis, which means the function has 2 real solution when y=0

that implies the discriminant is positive.

[tex]\Delta = \sqrt{b^2-4ac}[/tex]

if [tex]\Delta > 0[/tex] we have 2 distinct real solution

if [tex]\Delta <0[/tex] we have no real solution but 2 complex solutions

if [tex]\Delta = 0[/tex] we have 2 identical real solution

Give 3 points that all lie on a line with a slope of 4. Explain your process.

Answers

Answer:

Step-by-step explanation:

The simplest line you can draw with a slope of 4 is y = 4x. Use The equation to make a table

y = 4x

x    1     3     5

y    4    12    20

So I just multiplied 4 by  3 and 5 red graph below shows the three points on the line. (1,4),(3,12),(5,20)

What about a more complex line.

y = 4x + 5

x 1  3  5

y 9 17 25

The green line show (1,9),(3,17),(5,25)

4 plums and 7 bananas

Answers

I agree. Great discussion post this week!
Answer: 11 total fruit??

Tariq and Lucia are finalists in a baking competition. For the final round, each of them will randomly select a card without replacement that will reveal what their primary flavor must be. Here are the available cards:

Answers

Answer:

0.03

Step-by-step explanation:

Answer:

.03 on Khan Academy

Step-by-step explanation:

What is the value of the expression 1/7 divided by five

Answers

Answer:

1/35

Step-by-step explanation:

plz mark brainllest

Answer:

1/7 divided by 5 =

1/35

in decimal form, its:

0.0285714...

simplify the expression
10,471 ÷ 23​

Answers

Answer: 10;20.478261

Step-by-step explanation: I hope that helps if you don,t undertand tell me

y=2x+4 cannot figure out?

Answers

Answer: M= 2 C= 4 (0,4)

Step-by-step explanation:

Formula- y=mx+c where m is the gradient and c is the y intercept

In y=2x + 4,

2 is in the place of m and 4 is in the place of c. So, m= 2 and c=4. The coordinates of the y intercept would be (0,4)

Find the percent of change $150 to $180

Answers

The answer is 20%
A change from 150 to 180 represents a positive change (increase) of 20%


Austin has ridden 49 miles of a bike course. The course is 70 miles long. What percentage of the course has Austin ridden so far?

Answers

Answer:

70%

Step-by-step explanation:

49/70 = 0.7

0.7*100 = 70

Ms. Henderson's plant is 6 1/3 inches tall. It is 1 5/6 inches taller than Megan's plant.
How tall is Megan's plant?
Enter your answer as a simplified mixed number by filling in the boxes.

Answers

Answer:

4 1/2 inches

Step-by-step explanation:

Hi! I hope this helps!:

Since Ms. Henderson's plant is 6 1/3, all we need to do is subtract 1 5/6 from it! We do this because it says, "1 5/6 inches taller than Megan's plant".

For the next steps, you can change the mixed numbers into decimals or into improper fractions! 6 1/3 would be 19/3. 1 5/6 would be 11/6. You can find a common denominator for both. I would make 19/3 to 38/6.

Lastly, you need to subtract and make it into simplest form! 38/6 - 11/6 = 27/6.

You could simplify it to 9/3, 4.5, or 4 1/2 inches.

Answer:

The is 4 1/2. just like

ChocoWaffoALT said.

the sum of the reversed number and the original number is 154, find the original number, if the ones digit in it is 2 less than the tens digit

Answers

Answer:  86

==========================================================

Explanation:

For the original two digit number, we have:

x = tens digity = units digit (aka ones digit)

The original number is 10x+y. For instance, if x = 5 and y = 7, then we have 10x+y = 10*5+7 = 57.

This original number 10x+y swaps its digits to 10y+x. Then we add up the two expressions:

(original)+(swapped) = (10x+y)+(10y+x) = 11x+11y = 11(x+y)

This sum is stated to be 154

11(x+y) = 154

x+y = 154/11

x+y = 14

Then we're told that "the ones digit in it (the original number) is 2 less than the tens digit". Meaning that y = x-2 is another equation we can use. We'll plug this into the previous equation we found and solve for x

x+y = 14

x+x-2 = 14 ... replace y with x-2

2x-2 = 14

2x = 14+2

2x = 16

x = 16/2

x = 8 is the tens digit of the original number

y = x-2

y = 8-2

y = 6 is the units digit of the original number

The original number is 10x+y = 10*8+6 = 86

As a check, adding 86+68 = 154 which confirms our answer.

Malik uses an app on his phone to track how far he rides his bike. Yesterday, he biked a new trail in a total of 57.5 minutes, including a 2.5-minute water break. The app notified Malik that he rode 10 miles. What was Malik's average pace while biking?
Write your answer as a whole number or a decimal.

Answers

Answer: Malik uses an app on his phone to track how far he rides his bike. Yesterday, he biked a new trail in a total of 57.5 minutes, including a 2.5-minute water break. The app notified Malik that he rode 10 miles. What was Malik's average pace while biking?

Answer:

5.5 Minutes per mile

Step-by-step explanation:

Malik biked 10 miles at a pace of p minutes per mile. His water break added 2.5 minutes to his time. It took him a total of 57.5 minutes to complete the trail. This equation represents the situation.

10p      time spent biking

+

2.5 time for water break

=

57.5  total time

Now, solve the equation for p.

10p+2.5

= 57.5

10p

= 55 Subtract 2.5 from both sides

p

= 5.5 Divide both sides by 10

Malik's average pace was 5.5 minutes per mile.

Given 4(3x-8)=52 prove x=7
please help

Answers

Answer:

4(3x-8)=52

divide both sides by 4

4/4(3x-8)=52/4

3x-8=13

add both sides by 8

3x-8+8=13+8

3x=21

divide both sides by 3

3x/3=21/3

x=7

Step-by-step explanation:

just answered it previously =)

Answer:

4(3x-8)=52

12x-32=52

12x=52+32

12x=84

X=84/12

X= 7

Step-by-step explanation:

A public parking garge charge $6,plus an additional $2per hour show me the
graph the line

Answers

Answer:

Step-by-step explanation:

y=6+2x

where x is number of hours.

Can someone please help with this?

Answers

Answer:

I was learning that to but it is way to blurred out and I can not see the text.

You need to make a clear picture if you need answers or no one can help you because we don't know what it say's.

Step-by-step explanation:

please help, this is an algebra 2 question :) I attached the problem in a photo - simplify the following expression

Answers

Answer:

[tex]\frac{x^2+19x-56}{4x^2-32x}[/tex]

Step-by-step explanation:

To add two fractions we need a common denominator. Just by looking at the two, there are no common factors. This means the denominator would be the product of the two: 4x(x-8). In order to obtain this, we multiply the first fraction by (x-8)/(x-8) - 1, and the second by 4x/4x - 1:

[tex]\frac{x+7}{4x} *\frac{x-8}{x-8} +\frac{5}{x-8}*\frac{4x}{4x}[/tex]

We can use the distributive property to simplify:

[tex]\frac{x^2-x-56}{4x(x-8)} +\frac{20x}{4x(x-8)}[/tex]

The sum of the two is:

[tex]\frac{x^2+19x-56}{4x^2-32x}[/tex]

Observa los porcentajes de la gráfica y completa la tabla.

AYUDAAAA

Answers

si es correcta asi yo creo

A society doubles its size every 31 years. If the population of a society is currently 12000 what will the population be in 124 years?

Answers

Answer: 1,488,000

Please tell me if I’m wrong.

A picture frame is designed to take a 6cm x 8cm picture. The border is the exact same width all round and its area is 32 cm^2. How wide is the border?

Answers

48ac^2m^2 is how wide the border is.

Convert 27^(2/3) into radical form. Then, show your steps and simplify (your final answer will be an
integer)

Answers

Answer:

Step-by-step explanation:

[tex]27^{\frac{2}{3} } =(3^3)^{\frac{2}{3} }=3^{3 \times \frac{2}{3} }=3^2=9[/tex]

possible answers: 3.456 x 10^3, 3.456 x 10^4, 3.456 x 10^5, 3.456 x 10^6

Answers

Answer:

last option is correct

............................

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