The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of itsâ height, and inversely as the length of the beam. A beam feetâ long, with a width of inches and a height of inches can support a maximum load of pounds. If a similar board has a width of inches and a height of âinches, how long must it be to support âpounds?

Answers

Answer 1

The question is incomplete.Here is the complete question.

The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its length, and inversely as the length of the beam. A beam 13 feet long, with a width of 6 inches and a height of 4 inches can support a maximum load of 800 pounds. If a similar board has a width of 8 inches and a height of 7 inches, how long must it be to support 1300 pounds?

Answer: It must be 392 inches or approximately 33 feet.

Step-by-step explanation: According to the question, the measures (width, length and height) of a beam and the weight it supports are in a relation of proportionality, i.e., if divided, the result is a constant.

For the first load:

width = 6in

height = 4in

length = 13ft or 156in

weight = 800lbs

Then, constant will be:

[tex]\frac{6.4^{2}}{156} k = 800[/tex]

[tex]k=\frac{800.156}{96}[/tex]

k = 1300

For the similar beam:

[tex]\frac{8.7^{2}}{L}1300=1300[/tex]

L = 49.8

L = 392in or 32.8ft

A similar board will support 1300lbs if it has 392 inches or 32.8 feet long.


Related Questions

fhdryyyyyyyyyyyyetttttttttt

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Answer:

fjkn QLJKFnclqnmjfn,msfjv

Step-by-step explanation:

Answer:

jsoanjcisnzocisjsncjhsjakznc aknxosjz

Step-by-step explanation:

hajxkfj snksksnc

Find the value of ƒ(5) if​

Answers

Answer:

A) 19

Step-by-step explanation:

3(5) + 4 = 19

Hope this helps you

Answer:

19

         / 2(5)-7 = 10-7 = 3   .    3 <= 1                     false

F(5)

         \ 3(5)+4 = 15+4 + 19 .    19 > 0                      true

IS MY ANSWER CORRECT ?? ASA IS THE WRONG ANSWER BTW

Answers

Answer:

yes

Step-by-step explanation:

A tv is 37 inches long and the width is 12 inches how tall is the tv?

Answers

Answer:

35 inches

I hope this helps!

Keith receives $25000 salary for working as a account. If keith spends 40% of his salary on expenses each year, then how much money does Keith have to spend on expenses? Round your answer to the nearest whole number if necessary.

Answers

Answer:

$25000 * 40% = 100.000

Step-by-step explanation:


10,000 on expenses. 25000X.40=10,000

A triangle has a base of 4 inches and a height of 12 inches. What is the area of the triangle?

Answers

Answer:

48

Step-by-step explanation:

u just multiply 12x4=48

Answer:

The area of the triangle is 24.

Robert bought some gifts that were each worth $25.90 at a store. He also bought one treat for himself that cost $4.00.
If Robert bought three gifts, which equation shows how to calculate the total amount of money he spent at the store?
A.3 x 25.90 +4= 89.70
B. O 3 x 25.90 +4= 81.70
C.3 x (25.90 + 4) = 89. 70
D.O3 (25.90 + 4) = 81. 70

Answers

A bc he bought three of the $25.90 then he bought only one for himself (the $4)

Answer:

A

Step-by-step explanation:

Since Roberto bought 3 gifts, which are each $25.90, that would mean it would be 3×25.90. Plus, he bought himself a treat would would be a +4.

A rancher has 1000 feet of fencing in which to construct adjacent, equally sized rectangular pens. What dimensions should these pens have to maximize the enclosed area?

Answers

Answer:

The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft

Step-by-step explanation:

we have the perimeter as 1000

So the sum of the lengths will be

1000/2 = 500

The dimensions that will maximize these pens will be such that they will have equal values

Mathematically, that will be 500/2 = 250 by 250

A stock price is $100. Volatility is estimated to be 20% per year. What is the an estimate of the standard deviation of the change in the stock price in one week?

Answers

Answer: if I’m correct the answer is $0.38

Step-by-step explanation:

The estimate of the standard deviation of the change in the stock price in one week is $2.77.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have:

Stock price = $100

Volatility = 20% ⇒ 0.20

We know the standard deviation of change in the stock price is given by:

[tex]\rm = \frac{stock \ price \times implied \ volatility \times \sqrt{days \ to \ change} }{\sqrt{365} }[/tex]

[tex]\rm = \frac{100\times 0.20\times\sqrt{7} }{\sqrt{365} }[/tex]   (1 week = 7 days)

= 5.2343×0.20×2.646

= 2.7699 ≈ $2.77

Thus, the estimate of the standard deviation of the change in the stock price in one week is $2.77.

Learn more about the standard deviation here:

brainly.com/question/12402189

Combine like terms: -4x+3-7x-8

Answers

Answer:

Basicly you just combine the terms that are the same. Combine -4x and -7x. Also combine 3 with -8.

Step-by-step explanation:

Which graph represents a linear function

Answers

Answer:

A

Step-by-step explanation:

Answer:

The first Picture

Step-by-step explanation:

It is the only one with a staight line.

Can i have brainliest

Which equation represents the graph?

Answers

Answer:

The answer is A) y+4 =3(x+3)

Step-by-step explanation:

The slope is the rate of change, which you can see from the graph is m = 3/1 = 3.

Your options are given in point-slope form:

y-y1=m(x-x1)

Pick a point from the graph. I used;

(-3, -4). Now plug this into your point slope form equation.

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

y+4=3(x+3)

whats 10000x1? Im an ideot,

Answers

Answer:

10000

Step-by-step explanation:

LOL its ok :)

Answer:

10000

Step-by-step explanation:

When we multiply two numbers, the answer we get is called 'product'. The number of objects in each group is called 'multiplicand,' and the number of such equal groups is called 'multiplier'. In math, to multiply means to add equal groups. ... The two factors and the product are parts of a multiplication problem. In the multiplication problem, 6 × 9 = 54, the numbers 6 and 9 are the factors, while the number 54 is the product. The four basic mathematical operations--addition, subtraction, multiplication, and division--have application even in the most advanced mathematical theories. Thus, mastering them is one of the keys to progressing in an understanding of math and, specifically, of algebra.

:D

Brainliest?

Which inequality is shown in the graph below?

Answers

Answer:

B. y<2x-2

Step-by-step explanation:

Hope that helps!

For the function f defined by f(x) = x - 2, what is the value of f(7)? А 2 B 5 C 7 D 9​

Answers

Answer:

f(7) =5

Step-by-step explanation:

f(x) = x - 2

f(7) means let x = 7

f(7) = 7-2

f(7) =5

Answer:

B. 5

Step-by-step explanation:

f(x) = x - 2 when x = 7

f(7) = 7 - 2

f(7) = 5

Best of Luck!

A teacher keeps track of the number of students that participate at least three times in an optional study session each year. He models the attendance over the last nine years with this function. n(t) = 3.53t^2 - 33.04t + 117.56 Which graph would most likely be associated with the given model?

Answers

Answer:

its B

Step-by-step explanation:

The graph that would most likely be associated with the given model is an option(b).

What is a graph?

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

The regression equation is:

n(t) = 3.53t^2 - 33.04t + 117.56

The above regression equation is a quadratic function and non-linear.

thus, the graph must represent a non-linear relationship.

From the graphs, the only graph of the option (b) represents a quadratic function.

Other given options are either linear models or exponential.

Hence, the graph that would most likely be associated with the given model is an option(b).

Read more about regression models at:

https://brainly.com/question/18469538

#SPJ2

What is 5 and 3/4 times 7 in fractions

Answers

Answer:[tex]\frac{161}{4}[/tex]

Step-by-step explanation:

I need help with this!

Answers

Answer:

9/20

Step-by-step explanation:

3/8 - 4/5 - 3/8 + 5/4

-16/20 + 25/20

-16 + 25/20

9/20

Answer: The answer is 9/20.

Step-by-step explanation:

Micro Knowledge sells 5 times as many computers as Morse Electronics. The difference in sales between the two stores is 20 computers. How many computers did each store sell?

Answers

Answer:

Morse electronics sells 5 computers

Micro knowledge sells 25 computers

Step-by-step explanation:

The computation is shown below:

Let us assume the morse electronics computer be x

So the micro knowledge computers be 5x

And, the difference between them is 20

Now the equation is

5 x - x = 20

4x = 20

x = 5

Hence, the morse electronics sells 5 computers

While on the other hand the micro knowledge sells

= 5 × 5

= 25 computers

Need help with homework

Answers

Answer: A is (8.5,4) B is (2.5,1.5)

Step-by-step explanation:

What is 0.00000387 in scientific notation? A. 0.387 × 10–7 B. 3.87 × 10–6 C. 3.87 × 106 D. 387 × 10–8]

Answers

Answer:

C

Step-by-step explanation:

What is the rat pop in 1990?
What does the model predict the rat pop was in the year 2005?

Answers

Answer:

Pop in 1990 = 81 million rats

Pop in 2005 = 127 million rats

Step-by-step explanation:

Given the function, the population of rats in 1990 is when we replace t with "0" which strictly gives the coefficient 81 that represents 81 million rats.

The rat population in 2005 is given by the formula when t = 15

This is: approximately 127 million rats.

Find the value of y in the given parallelogram

Answers

Answer:

Y = 5

Step-by-step explanation:

first you subtract 5y from 9y to get 4y, then you add 13 to 7 to get 20, and then you divide 4 and 20 for your answer.

A certain lottery requires players to select 7 different numbers, in any order, from 1 to 51 inclusive. How many different sets of 7 numbers can be chosen?

Answers

Answer:

[tex]Selection = 345025251[/tex]

Step-by-step explanation:

Given

[tex]Total = 51[/tex]

[tex]Numbers = 7[/tex]

Required

Determine number of selection

It's important that

- The first number can be any of the 51 numbers

- The second number can be any of the 51 numbers

- The third number can be any of the 51 numbers

- The fourth number can be any of the 51 numbers

And so on

Hence, number of selections is:

[tex]Selection = 51 * 51 * 51 * 51 * 51[/tex]

[tex]Selection = 51^5[/tex]

[tex]Selection = 345025251[/tex] ways

George claims that he is 3 years less than 3 times as old as his niece Pam will be one year from now. Let p= Pam’s age now. Write an expression to represent George's age. Then simplify the expression. If George is 42 years old now, how old will Pam be next year?

Answers

Answer:

G = George's age

G = 3(P+1) - 3

G = 3P + 3 - 3

G = 3P

Step-by-step explanation:

A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hotdogs and 13 dozen bratwursts for $330.00. The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $390.00 how much did each cost?

Answers

Answer:

Hotdogs are $12.00 for the dozen or $1.00 each

Bratwursts are $18.00 for the dozen or $1.50 each

Step-by-step explanation:

Find the length of JL
15
None of the other answers are correct
12
3

Answers

Answer:

D: 12

Step-by-step explanation:

The entire segment KI is composed of the segments KJ and JI. So:

[tex]KI=KJ+JI[/tex]

We know that KI is 15.

KJ is (2x-15) and JI is (2x-6). Substitute:

[tex]15=(2x-15)+(2x-6)[/tex]

Solve for x. Combine like terms:

[tex]15=4x-21[/tex]

Add 21 to both sides:

[tex]4x=36[/tex]

Hence, the value of x is:

[tex]x=9[/tex]

We know that JI is 2x-6.

We will substitute 9 for x to find JI. So:

[tex]JI=2(9)-6=18-6=12[/tex]

Hence, our answer is D.

-2/3 x 3/4
Please help!

Answers

Answer:

-1/2

Step-by-step explanation:

Answer:

-9/8.

Step-by-step explanation:

-3/2 * 3/4

= -3*3 / 2*4

= -9/8.

A waterfall has a height of 1700 feet. A pebble is thrown upward from the top of the falls with an initial velocity of  feet per second. The height of the pebble h in feet after t seconds is given by the equation h=-16t^2+24t+1700 . How long after the pebble is thrown will it hit the​ ground?


PLEASE HELPPPPP

Answers

Answer:

[tex]t = 11.085[/tex]

Step-by-step explanation:

The expression is given as:

[tex]h=-16t^2+24t+1700[/tex]

Required

Determine how long it will hit the ground

When the pebble is on the ground, this implies that h = 0

So, we have that:

[tex]h=-16t^2+24t+1700[/tex] becomes

[tex]0=-16t^2+24t+1700[/tex]

Reorder

[tex]-16t^2+24t+1700 = 0[/tex]

Multiply through by -1

[tex]16t^2-24t-1700 = 0[/tex]

Solve using quadratic formula [tex]ax^2 + bx + c = 0[/tex]:

[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 16[/tex]   [tex]b = -24[/tex]    [tex]c = -1700[/tex]

So, we have:

[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]t = \frac{-(-24) \± \sqrt{(-24)^2 - 4*16*(-1700)}}{2*16}[/tex]

[tex]t = \frac{24 \± \sqrt{576 + 108800}}{32}[/tex]

[tex]t = \frac{24 \± \sqrt{109376}}{32}[/tex]

[tex]t = \frac{24 \± 330.72}{32}[/tex]

[tex]t = \frac{24 + 330.72}{32}[/tex] or [tex]t = \frac{24 - 330.72}{32}[/tex]

[tex]t = \frac{354.72}{32}[/tex] or [tex]t = \frac{-306.72}{32}[/tex]

[tex]t = 11.085[/tex] or [tex]t = -9.585[/tex]

But time can't be negative.

So: [tex]t = 11.085[/tex]

Hence, it will take 11.085 seconds to hit the ground

I need help with this one

Answers

Answer:

22%of 2346 is 516.12 which would be 516 persons

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