Combined Variation:

The safe load for a horizontal beam supported at both ends varies
jointly as the width and the square of its depth and inversely as
the distance between the supports. If a 4 cm by 6 cm beam,
10 m long supports 5 kg when standing on the edge, what is the
safe load if the beam is turned on its side?

Answers

Answer 1

Answer:

The formula would be

wd^2c/l = p

(2*1^2c)/4 = 10

(2*1c)/4 = 10

2c/4 = 10

c = 20

3*2^2*20/6 = p

3*4*20/6 = p

240 pounds

hope it help :)

Step-by-step explanation:

Answer 2

The safe load if the beam is turned on its side will be 240 pounds.

What is a load?

A burden or pressure source that is carried by someone or something. Construction loads are defined as the weights placed on an existing or temporary structure both during and after the construction process.

Given that the safe load for a horizontal beam supported at both ends varies jointly with the width and the square of its depth and inversely with the distance between the supports. If a 4 cm by 6 cm beam, 10 m long supports 5 kg when standing on the edge,

The load will be calculated by using the formula below:-

wd²c/l = p

(2 x( 1 ) ²c)/4 = 10

(2x 1c)/4 = 10

2c/4 = 10

c = 20

3 x ( 2 )²x ( 20/6 ) = p

3 x 4x ( 20/6 ) = p

p = 240 pounds

Therefore, the safe load if the beam is turned on its side will be 240 pounds.

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Related Questions

Isaiah was given a gift card for a coffee shop. Each morning, Isaiah uses the card to
buy one cup of coffee. The original amount of money on the gift card was $10 and
each
cup
of coffee costs $2. Write an equation for A, in terms of x, representing the
amount money remaining on the card after buying x cups of coffee.

Answers

Answer:

$10 - $2x = A

Step-by-step explanation:

The equation for A, in terms of x, represents the amount of money remaining on the card after buying x cups of coffee is $10 - $2x = A.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Isaiah was given a gift card for a coffee shop. Each morning, Isaiah uses the card to buy one cup of coffee. The original amount of money on the gift card was $10 and each cup of coffee costs $2.

The equation will be written as below,

$10 - $2x = A.

A is the amount of money remaining on the card

x is cups of coffee.

Therefore, the equation for A, in terms of x, represents the amount of money remaining on the card after buying x cups of coffee is $10 - $2x = A.

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What are the first 4 terms use the explicit rule:
f(n)= 3n-1
(show your work)

Answers

Answer:

25811

Step-by-step explanation:

We are given the rule [ f(n) = 3n - 1 ] and n represents the term.

First term:

f(n) = 3n - 1

f(1) = 3(1) - 1

f(1) = 3 - 1

f(-1) = 2

Second term:

f(n) = 3n - 1

f(2) = 3(2) - 1

f(2) = 6 - 1

f(2) = 5

Third term:

f(n) = 3n - 1

f(3) = 3(3) - 1

f(3) = 9 - 1

f(3) = 8

Fourth term:

f(n) = 3n - 1

f(4) = 3(4) - 1

f(4) = 12 - 1

f(4) = 11

As you can see, the common difference is 3.

Best of Luck!

Answer:

2,5,8,11

Step-by-step explanation:

If n=1, 3n-1 =3*1-1 =3-1 =2

If n=2, 3n-1 =3*2-1 =6-1 =5

If n=3, 3n-1 =3*3-1 =9-1 =8

If n=4, 3n-1 =3*4-1 =12-1 =11

h(x)=2x+5 k(x)=x+3 find (h(k(x)))

Answers

Answer:

h(k(x)) = 2x + 11

Step-by-step explanation:

Step 1: Define

h(x) = 2x + 5

k(x) = x + 3

h(k(x))

Step 2: Substitute and Evaluate

k(x) = x + 3 = x

h(k(x)) = 2(x + 3) + 5

h(k(x)) = 2x + 6 + 5

h(k(x)) = 2x + 11

Help!!
Find the difference between and 8/15 and-2/3. Show all calculations in your final answer.

Answers

Answer:

-2/15

Step-by-step explanation:

8/15-2/3

8/15-10/15

-2/15

Common Denominator

choose the figures that are polygons​

Answers

Answer:

I'm pretty sure figure A is the only one correct and also figure D

what does i2x + 3(x - 5) = 20 equal

Answers

Answer:

x=7

Step-by-step explanation:

2x+3(x-5)=20

2x+3x-15=20

5x-15=20

5x=35

x=7

Answer:

x = 5

Step-by-step explanation:

2x + 3(x - 5) = 20

simplify

5x - 5 = 20

get the variable and the number on different sides

5x - 5 + 5 = 5x

20 + 5 = 25

5x = 25

now divide each side by 5

5x / 5 = x

25 / 5 = 5

x = 5

Explain how to divide an integer by a decimal

Answers

Answer:To divide decimal numbers: Multiply the divisor by as many 10's as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10's.

Step-by-step explanation:

if y= 6 when x= 24, find the value of x when y= 7

Answers

Answer:

x=28

Step-by-step explanation:

the y to x ratio is 1:4 or in other words all you need to do is multiply the y by 4 to get your new x value

-Hope this helps

Answer:

x=28 Hope this helps

                         

Each year a store decreased the price of a certain model of TV by $35. If the
price in 2001 was $1,950, what was the price in 2009?
Group of answer choices

Answers

Answer:

1,670

Step-by-step explanation:

35 x 8 = 280

1,950 - 280 = 1,670

Two angles of a triangle measure 55° and 20°.
What is the measure of the third angle of the triangle?
A. 15°
B. 90°
C. 105°
D. 2850

Answers

Answer:

C. 105 is the answer

Step-by-step explanation:

Use the graph to evaluate the function.
f(-5) =
y
-8 -6

Answers

Answer:

-4

Step-by-step explanation:

Go to x value of -5 and go down until you touch line.

what is the total area of the three triangle ?​

Answers

Answer b. 13 square units

Anyone know how to do??

Answers

Answer:

x = 15°

Step-by-step explanation:

∠2 and ∠4 are same-side interior angles, meaning they add up to 180

2x + 10 + 4x + 80 = 180

Rearrange (collect like terms)

6x = 180 - 80 - 10

6x = 90

x = 15°

Answer:

x = 15

Step-by-step explanation:

∠2 = 2x + 10

∠4 = 4x + 80

∠2 and ∠4 are supplementary angles, this mean ∠2 + ∠4 = 180

2x + 10 + 4x + 80 = 180

combine similar terms: 6x = 180 - 80 - 10

simplify: 6x = 90

solve for x = 90 / 6

               x = 15

One year Terry had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at his​ school, with an ERA of 2.85 . ​Also, Karla had the lowest ERA of any female pitcher at the school with an ERA of 2.95 . For the​ males, the mean ERA was 4.893 and the standard deviation was 0.949 . For the​ females, the mean ERA was 4.348 and the standard deviation was 0.997 . Find their respective​ z-scores. Which player had the better year relative to their​ peers, Terry or Karla ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

Answers

Answer:

Their respective​ z-scores are:

Thomas : -2.15279

Karla : -1.40221

Which player had the better year relative to their​ peers, Terry or Karla ​? ​

Terry had a better year because he had a lower Era and he was a better pitcher.

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean

σ is the population standard deviation.

any male pitcher at his​ school,

For Thomas:

z = (x-μ)/σ

x = 2.85 μ = 4.893 σ = 0.949.

z = 2.85 - 4.893/0.949

z = -2.15279

For Karla

z = (x-μ)/σ

x = 2.95 μ = 4.348 σ = 0.997.

z = (2.95 - 4.348) /0

z = -1.40221

Their respective​ z-scores are:

Thomas : -2.15279

Karla : -1.40221

Which player had the better year relative to their​ peers, Terry or Karla ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

Terry had a better year because he had a lower Era and he was a better pitcher.

What is the distance in the map (in centimeters) represents an actual distance of 4 kilometers?

Answers

Answer:

400k four hundred thousand centimeters is 4 kilometers

I need help finding the slope, the Y intercept and the equation for this graph???

Answers

Answer:

Step-by-step explanation:

y intercept is 4

slope is 6/3 is 2

y=2x+4

Simplify:

3c-5d+5d

Pls

Answers

Answer:

3 c

Step-by-step explanation:

Simplify the following:

5 d - 5 d + 3 c

Hint: | Combine like terms in 5 d - 5 d + 3 c.

5 d - 5 d = 0:

Answer: 3 c

Answer:

3c-10d is the supposed awnser I think


need this asap please !:)

at a local strawberry farm customers fill a bucket with strawberries. the function f(x)=4x models the cost for the strawberries, where x is the number of pounds of strawberries in
the bucket. a bucket can hold up to 10 pounds of strawberries. which is an appropriate domain of the function?
*answer choices in picture!*

Answers

answer - o<x<10

thank me later

Richard and Teo have a combined age of 35. Richard is 5 years older than twice​ Teo's age. How old are Richard and​ Teo?

Answers

Answer: Teo is 10 years old and Richard is 25 years old

Given the two functions below, tell me what type of graphs they are and
how p(x) differs from g(x)

p(x)=8x^2
g(x) = x^2

Answers

Answer:

Step-by-step explanation:

p(x) = 8x^2 is an increasing exponential curbed graph which starts from quadrant 2 , passes through the point (0, 8)  on the y axis and rises steeply to the right.

g(x) = x^2 is a parabola ( shaped like a U) which has a minimum value at (0, 0).

and opens upwards either side of the y-axis. This type of curve is called a parabola.

the average rain fall in cuba in the summer is 5.3 inches per month. if cuba gets 6.3 inches in june and 7.1 in july how much rain do they need in august to exceed their average

Answers

Answer:

They need more than 2.5 inches.

Step-by-step explanation:

average = 5.3

June: 6.3

July: 7.1

August: x

The average of the amounts for June, July, and August is

(6.3 + 7.1 + x)/3

To exceed the average, the average must be greater than 5.3.

(6.3 + 7.1 + x)/3 > 5.3

Multiply both sides by 3.

6.3 + 7.1 + x > 15.9

x + 13.4 > 15.9

Subtract 13.4 from both sides.

x > 2.5

Answer: They need more than 2.5 inches.

For the given functions f and g, complete parts (a)-(h). F
f(x) = 5x + 8; g(x) = 7x-2

Answers

Answer:

9

Step-by-step explanation:

use math and add way after it

u welcome does work for u

The sum of 4 plus 7 equals 44

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

First you have to translate it into an understandable equation like this...

[tex]4+7=44[/tex]

You don't have to solve it because it is obvious that 4 and 7 don't add up to 44.

Answer:

Step-by-step explanation:

4+7=44

11=44

11-44 is -33 i guess is what you are looking for?

A circle is translated 4 units to the right and then reflected over the x-axis. Complete the statement so that it will always be true of the circle at the new location.

The circle at the new location has the original circle.
the same center as
twice the circumference of
half the radius of
the same area as

Answers

Options

The circle at the new location has _____________ the original circle.

- the same center as

- twice the circumference of

- half the radius of

- the same area as

Answer:

the same area as

Step-by-step explanation:

When a circle is translated and reflected, the center of the circle will change; however, its area, circumference, radius and diameter remain the same.

This is so because, translation and reflection only affect the positioning of the circle not the size.

Considering the above analysis, we can conclude that option d answers the question correctly.

Answer:

the same area as

Find the value of each power

Answers

Answer:

(20). 256^0 = 1

(21).  10^2 = 100

(22). 4^4 = 256

(23).  3^5 = 243

Step-by-step explanation:

(20). 256^0 = 1

(21).  10^2 = 10*10 = 100

(22). 4^4 = 4*4*4*4 = 256

(23).  3^5 = 3*3*3*3*3 = 243

is an ice cube melting into water a chemical change?

Answers

Answer:

No

Step-by-step explanation:

When an Ice Cube melts into water it is a physical change not a chemical change because no chemicals were used.

Hope this Helps!!! :)

Let me know if I should change anything or if it was helpful in the comments!!!

find x

3x
2x+40
x+50
4x

Answers

Answer:

27

Step-by-step explanation:

The sum of all exterior angles of any quadrilateral= 360°

3x+2x+40+x+50+4x = 360°

11x + 90 = 360°

11x = 360 - 90

10x = 270

x = 270/10

x = 27

The equation [BLANK] has no solution.

ANSWERS:

13y+2-2y=10y+3-y

9(3y+7)-2=3(-9y+9)

32.1y+3.1+2.4y-8.2=34.5y-5.1

5(2.2y+3.4)=5(y-2)+6y

Answers

Answer:

5(2.2y+3.4)=5(y-2)+6y has no solution

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The third one down.

32.1y+3.1+2.4y-8.2=34.5y-5.1

Combine like terms

34.5y + 3.1 - 8.2 = 34.5y - 5.1

34.5y - 5.1 = 34.5y - 5.1              y can be anything

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

Remove the brackets from D

11y + 17 = 5y - 10 + 6y

11y + 17 = 11y - 10

This gives 17 = - 10 which of course is nonsense.

D has no solution.

Write the equation of a line that includes the point (1, 5) and has a slope of 3 in slope-intercept form

Answers

Answer:

y=3x+2

Step-by-step explanation:

y=mx+b

We have our m, which is slope, but we need our y intercept, b.

Substitute your slope, x, and y into the formula and solve for b.

5=3(1)+b

5=3+b

-3 -3

2=b

Now we can plug into equation.

y=3x+2

Please help ASAP!!!! Due in 5

Answers

Answer:Y=2

Step-by-step explanation:

Answer:

y =-1

Step-by-step explanation:

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