the force needed to break a board varies inversely with its length. If tom uses 20lb of pressure to break a 1.5 -ft board, how many pounds of pressure would he need to use to break a 6 -ft board

Answers

Answer 1

[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"f" varies inversely with "L"}}{f=\cfrac{k}{L}}\qquad \textit{we also know that} \begin{cases} f=\stackrel{lbs}{20}\\ L=\stackrel{ft}{1.5} \end{cases} \\\\\\ 20=\cfrac{k}{1.5}\implies 30=k~\hfill \boxed{f=\cfrac{30}{L}} \\\\\\ \textit{when L = 6, what is "f"?}\qquad f=\cfrac{30}{6}\implies f=5[/tex]


Related Questions

Besides the actual mortgage payment, which also factors into the monthly payment on a home?

Please label your answer with the corresponding letter or you won't get brainliest. I like many others, hate having to sit through ads

A. repair costs
B. renters' insurance
C. property taxes
D. down payment

Answers

Answer:

C

Step-by-step explanation: Property taxes

The answer to your question is C.

Choose the graph below that meets all three of the following requirements: Limit as x approaches 1 minusf(x) = 3 Limit as x approaches 1 plusf(x)= –1 Limit as x approaches 4f(x) = 2 On a coordinate plane, a horizontal line at y = 3 goes to open circle (1, 3). It then goes down to point (2, negative 1) and up to open circle (4, 2). It then increases through (7, 4). On a coordinate plane, a horizontal line starts at open circle (negative 1, 3) and decreases through (negative 3, 0). A curve starts at closed circle (1, negative 1), curves up to (4, 2), and curves down through (6, 0). On a coordinate plane, a line starts at (1, 3) and increases through (0, 4). A line starts at closed circle (4, 3) and decreases through (5, 2). A horizontal line starts at (1, negative 1) and goes to open circle (4, negative 1). On a coordinate plane, a curve starts at open circle (1, 3), increases to (0, 4), and curves down through (negative 2, 1). A line starts at closed circle (1, negative 1) and goes up through (4, 2).

Answers

Graph D (last one)

Step-by-step explanation:

edge

Answer:

the last graph is d

Step-by-step explanation:

what percentage of 60 is 30​

Answers

Step-by-step explanation:

[tex] \longmapsto\: \purple{hello \: mate }[/tex]

50 % of 60 is 30

i,e

60×50/100

= 60 x 1/2

=30

Answer:

50%

Step-by-step explanation:

[tex]30\div 60\times 100[/tex]

[tex]\cfrac{1}{2}\times \:100[/tex]

[tex]\cfrac{1}{2}\times \cfrac{100}{1}[/tex]

[tex]\cfrac{1\times \:100}{2\times \:1}[/tex]

[tex]\cfrac{100}{2}[/tex]

[tex]50[/tex]

. If 27 and 45 are two lengths of a right triangle, what is the third length of the right triangle?'

Answers

Answer:

36        ( or possibly  sqrt (2754)  )

Step-by-step explanation:

Use the Pythagorean Theorem to find the missing side   (you will have to try two different times because you do not know what is missing....a leg or the hypotenuse)

27^2 + 45^2 = x^2     x = sqrt2754=52.4786     although this is one true answer, I do not think it is what the question seeks

let's try

27^2 + x^2 = 45^2     x = 36    Check !  

After arguing for two weeks, Seth convinced his parents to have his birthday party at FlyZone trampoline park. As soon as he gets there, Seth spends time practicing flips on the trampolines. Then, he spends
1/2
of an hour eating birthday cake with his friends. In all, Seth spends 1 1/4
hours at FlyZone.
Which equation can you use to find the amount of time t Seth practices flips?

Answers

Answer:

[tex]t + \frac{1}{2} = 1 \frac{1}{4} [/tex]

A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend who is located at point B.

A coordinate plane with a circle drawn. The center of the circle is the origin, (0, 0). The circle has a diameter of 16 units. There is a line segment drawn from Point A at (8, 0), passing through (0, 4) to Point B at (negative 4, 6).

Which equation represents Grant’s path?

Answers

grants path represents 2.88 units passing through um 04

5 lb of apples at 2 lb for $0.80 ​

Answers

Answer:

2 dollars for 5 lb

Step-by-step explanation:

^

It’s $2 for 5 pounds of apples

A house on the market was valued at $396,000. After several years, the value increased by 8%. By how much did the house's value increase in dollars? What is the current value of the house?

Answers

Answer:

The value of the house increased $31,680.

The current value of the house is $427,680

Step-by-step explanation:

Which choice is equivalent to the expression below?
(-8)-5
5
O A.
100
ОВ.
(H
O c. 40
O D. 85

Answers

Answer:

D?

sorry if i am incorrect.

Each set of ordered pairs ( x , y ) represents a relationship with input x and output y . Which relationships do not represent a function? Select two correct answers. A. { ( ¯ 3 , 9 ), ( ¯ 1 , 1 ), ( 1 , 1 ), ( 3 , 9 ) } B. { ( ¯ 6 , 8 ), ( ¯ 6 , 4 ), ( 0 , 0 ), ( 3 , ¯ 4 ) } C. { ( 9 , ¯ 8 ), ( 8 , ¯ 9 ), ( ¯ 9 , 8 ), ( ¯ 8 , 9 ) } D. { ( ¯ 5 , ¯ 2 ), ( ¯ 1 , 3 ), ( 4 , 8 ), ( ¯ 1 , 13 ) } E. { ( ¯ 9 , ¯ 2 ), ( ¯ 5 , 11 ), ( 4 , ¯ 6 ), ( 1 , 17 ) }

Answers

Answer:

B and D

Why?

Well when looking for a function you have to look at the X Values. Why the X values? Well if they are different it is considered a function. If it is the same it will NOT be considered a function

Trey caught a 3 1/4 pound fish. How much did it weigh in ounces?

Answers

Answer: 52 ounces

multiply the mass value by 16

Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

Answers

Step-by-step explanation:

2*a*b + 2*a*c + 2*b*c = 2*8*2 +2*8*7 + 2*2*7 = 32 + 112 + 28 = 172 ft²

Answer:

172 ft2

Step-by-step explanation:

bxhxw= surface area

8x2x7=172

unit--> ft2

What is value of 5 in 2 500.7 please will like it to see how is solved without explaining,am really confused

Answers

Answer:

If there is no space between 2 and 5 then 5 is in the hundredths place

Step-by-step explanation:

how to solve Need Answer asap

Answers

Answer:

50.97m^2

Step-by-step explanation:

Rectangle=32.66 m^2

Triangle=28.13 m^2

For a ride on a rental scooter, David paid a $3 fee to start the scooter plus 11 cents per minute of the ride. The total bill for David's ride was $22.69. For how many minutes did David ride the scooter? minutes X​

Answers

To set this up you need to create the equation, the total cost is $22.69, so that will be on one side of the equation. The other side will be the flat rate 3, plus the 11 cents per minute.
22.69 = 0.11x +3

To solve this we need to subtract 3 from both sides, and then divide the total by 0.11 to get x alone:

22.69 = 0.11x +3
19.69 = 0.11x
x =179
So David rode the ride for 179 minutes. (Dividing by 60 will give you the number of hours since there is 60 minutes in 1 hour. So it’s about 3 hours.)

For $22.69 dollars I can ride the scooter for 179 minutes.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, A scooter ride has a starting fee of $3 and then 11 cents per mile.

Assuming with $22.69 I can ride x no. of minutes.

∴ 0.11x + 3 = 22.69.

0.11x = 19.69.

x = 19.69/0.11.

x = 179 minutes.

learn more about equations here :

https://brainly.com/question/29538993

#SPJ2

What is the true solution to the logarithmic equation below?
log₂ (6x)-log₂ (√x)=2

Answers

answer: x =  [tex]\\ \frac{4}{9\\}[/tex]

[tex]log_{2}[/tex] (6x) - [tex]log_{2}[/tex] ([tex]\sqrt{x}[/tex]) = 2

expand the expression:

[tex]log_{2}[/tex](6x) = [tex]log_{2}[/tex] (6) + [tex]log_{2}[/tex] (x)[tex]log_{2}[/tex] ([tex]\sqrt{x}[/tex]) = [tex]log_{2}[/tex] ([tex]x^{\frac{1}{2} }[/tex])

transform the expression:

[tex]log_{2}[/tex] ([tex]x^{\frac{1}{2} }[/tex]) = [tex]\frac{1}{2}[/tex] * [tex]log_{2}[/tex] (x)

calculate the difference:

[tex]log_{2}[/tex] (x) - [tex]\frac{1}{2}[/tex] * [tex]log_{2}[/tex] (x) = [tex]\frac{1}{2}[/tex] * [tex]log_{2}[/tex] (x)

multiply both sides by 2:

[tex]log_{2}[/tex] (6) + [tex]\frac{1}{2}[/tex] * [tex]log_{2}[/tex] (x) = 2   is now   2 [tex]log_{2}[/tex] (6) + [tex]log_{2}[/tex] (x) = 4

transform the expression:

2 [tex]log_{2}[/tex] (6) = [tex]log_{2}[/tex] ([tex]6^{2}[/tex])

simplify the expression:

[tex]log_{2}[/tex] ([tex]6^{2}[/tex]) + [tex]log_{2}[/tex] (x) = [tex]log_{2}[/tex] ([tex]6^{2} x[/tex])

evaluate the power:

[tex]log_{2}[/tex] ([tex]6^{2} x[/tex]) = [tex]log_{2} (36x)[/tex]

convert the logarithm into exponential form:

[tex]log_{2}(36x) = 4[/tex]    is now   [tex]36x = 2^{4}[/tex]

evaluate the power:

[tex]2^{4} = 16[/tex]

divide both sides by 36:

[tex]\frac{36}{36}[/tex] x  =  [tex]\frac{16}{36}[/tex]   which is   x = [tex]\frac{4}{9}[/tex]

Katie's earnings, E , for a week are given by the equation E = 18h, where H is the number of hours that Katie works during the week. If Katie works 40 hours per week for 4 weeks, how much money will she earn during the 4-week period?

Answers

Answer:

$2,880

Step-by-step explanation:

18 x 40 = 720 earned per week

720 x 4 (weeks) = 2880 earned in 4 weeks

For the quadratic function f(x) = x2 + 6x +11:
a. Use the idea of completing the square to write it in graphing form.

Answers

Step-by-step explanation:

Make f(x) = 0

[tex] {x}^{2} + 6x + 11 = 0[/tex]

First, we move the constant term to the right hand side of the equality sign.

[tex] {x}^{2} + 6x = - 11[/tex]

Then, we half the coefficient of x and square our result.

[tex]( \frac{6}{2} ) ^{2} = 3 ^{2} = 9[/tex]

Now, we add the result to the both sides of the equation.

[tex] {x}^{2} + 6x + 9 = - 11 + 9[/tex]

We can see that +6x+9 = (x+3)² {Try factorizing}

Therefore,

(x+3)²= -2

(x+3)²+2= 0

f(x)= (x+3)²+2

Which is the f(x) in graphing form.

50 points!!! Please help ASAP!!
The function y = f(x) is graphed below. What is the average rate of change of the
function f(x) on the interval -6

Answers

Answer:

Step-by-step explanation:

Shiho recorded the data below as she timed
how long it took for a car to go down a track.
Car Trial
Time
Trial 1
3.3 seconds
Trial 2
3.8 seconds
Trial 3
4.1 seconds
Trial 4
4.1 seconds
Trial 5
3.1 seconds
If Shiho wanted to determine the average time
it took the car to go down the track, which
measure should she find? (5 points)

Answers

A mean is an arithmetic average of a set of observations. The average time taken by Shiho to complete the track is 3.7 seconds.

What is Mean?

A mean is an arithmetic average of a set of observations. it is given by the formula,

[tex]\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}[/tex]

The reading of the 5 trials of Shiho is 3.3 seconds, 3.8 seconds, 4.1 seconds, 4.1 seconds, and 3.1 seconds. Therefore, the average or the meantime of Shiho can be written as,

[tex]\rm \text{Average Time} = \dfrac{\text{Sum of all observations}}{\text{Number of trials}}\\\\\text{Avrage Time} = \dfrac{3.3+3.8+4.1+4.1+3.1}{5}=\dfrac{18.4}{5}= 3.68\approx 3.7\ seconds[/tex]

Hence, the average time taken by Shiho to complete the track is 3.7 seconds.

Learn more about Mean:

https://brainly.com/question/16967035

#SPJ1

what is 3/5 - 3/10 = in simplest form

Answers

Answer:

3/10

Step-by-step explanation:

3/5 - 3/10 =          5×2 = 10 so 10 is the denominator

6/10 -3/10 =          rewrite with a denominator of 10

(6-3)/10 =              subtract numerators

3/10                      already in simplest form

Answer:

3/5

Step-by-step explanation:

You don’t need a common denominator when subtracting

PLS HELP ILL MARK AS BRAINLEST
find the slope that goes through the following points​

Answers

Answer:

The slope is 3

Step-by-step explanation:

The formula for slope is m = (y₂-y₁)/(x₂-x₁)

We assign

y₂ = -1y₁ = -4x₂ = 0x₁ = -1

Note: You can choose any set of points as long as you assign y₂ and y₁ to y coordinates and x₂ and x₁ to x coordinates.

m = (-1+4)/(0+1) = 3/1 = 3

Answer:

D. 3 :)

Step-by-step explanation:

As the x value increases, so does the y value but in bigger jumps. It increases by 3 :)

Have an amazing day!!

Please rate and mark brainliest!!

pls helpp i need it i give 23 points

Answers

If x>1 then the answer should be x>4 option (d)

-Applications using z-scores-
(Note: draw the bell shape curve and convert data values to z-score)

A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed with a mean of 90 km/hr and a standard deviation of 10 km/hr. What is the probability that a car picked at random is travelling at more than 100 km/hr?

Answers

Answer:   16%

step explanation:

100 m/hr is ONE S.D. (10) above 90

z - score = .8413    (Form Z-score chart)

      means    84 % of cars are travelling less than 100 m/hr

    ~ 16% are traveling 100 or more

Vigorous intensity physical activity target heart rate ranges between
A. 80-90%
B. 70-80%
C. 75-85%
D. 65-75%

Answers

A, is your answer ! Hope it helps

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

m A equal 14 the second one is 11

Step-by-step explanation:

The first image for the question and the other image for the example please I want the correct answer.

Answers

Answer:
A(shaded) =47cm^2

Step-by-step explanation:
To find the area of the shaded part we write:
A(shaded) = A(triangle)-A(rectangle)
Let's find A(rectangle):
The formula of the area of a rectangle is given by:
A(rectangle)=L*W
Where L is the length of the rectangle and W is the width of the rectangle.
Given in the figure:
L=4cm
W=2cm
We get:
A(rectangle) = 4*2 = 8cm^2

Now, let's find A(triangle):
The formula of the area of a triangle is given by:
A(triangle) = (b*h) /2
Where b is the base of the triangle and h is the height of the triangle
Given in the figure:
b= 11cm
h= 3+4+3 = 10cm
We get:
A(triangle) = (11*10)/2 = 55cm^2

Now that we found the areas of both, the rectangle and the triangle, we can go back to the following formula to find the area of the shaded part:
A(shaded) = A(triangle)-A(rectangle)
A(shaded)= 55 - 8= 47cm^2

Area of triangle = 1/2 x 11 x (3+4+3) = 55 cm²

Area of rectangle = 4 x 2 = 8 cm²

Area of shaded region = 55 - 8 = 47 cm²

For what values of b will F(x) log, xbe a decreasing function?
O A. 0> b>-1
B. b> 0
O C. b<0
O D. 0 < b<1

Answers

Answerletter A

Step-by-step explanation:

Have a Great day✧◝(⁰▿⁰)◜✧

The correct values for b is,

⇒ 0 < b < 1

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

F (x) = [tex]log_{b} x[/tex]

Now, We know that;

As the logarithm of a negative number is undefined, b should be a positive number (b>0 ).

Therefore, the value of b must be in the range of 1 > b > 0 for the function to be a decreasing function.

Thus, The correct values for b is,

⇒ 0 < b < 1

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ5

What is the total surface area for the figure shown below?
11
8
17
14
10

Answers

The answer to this question is 14 and hope you have a good day

Look at the given triangles.
A. Write an expression in the simplest form for the perimeter of each triangle.
B. Write another expression in simplest form that shows the difference between the perimeter of the larger triangle and the perimeter of the smaller triangle.
C. Find the perimeter of each triangle when x=3

Answers

Blue: P=4x +2+7x +7+5x-4 --> 16x +9-4=16x +5

Red: P=x+3+2x - 5 + x + 7 --> 4x + 10 - 5 = 4x + 5

Difference between the perimeter:

(16x + 5) - (4x + 5) = 16x + 5 - 4x - 5 = 12x

Perimeter when x = 3

Blue : 16x + 5 ⇒ 16(3) + 5 = 48 + 5 = 53

Red: 4x + 5 ⇒ 4(3) + 5 = 12 + 5 = 17

The answers are explained in the solution.

What is perimeter?

The perimeter of an object is given by adding the side lengths of the object.

Given are two triangles, we need to find their perimeters and then the difference and the value of the perimeter when x = 3,

Blue:

P = 4x +2 +7x + 7+5x-4

= 16x +9-4 = 16x +5

Red:

P = x+3+2x - 5 + x + 7

= 4x + 10 - 5 = 4x + 5

Now,

The difference between the perimeter:

(16x + 5) - (4x + 5)

= 16x + 5 - 4x - 5

= 12x

The perimeter when x = 3

Blue: 16x + 5 ⇒ 16(3) + 5 = 48 + 5 = 53

Red: 4x + 5 ⇒ 4(3) + 5 = 12 + 5 = 17

Hence, the perimeters of the given triangle are 53 and 17 respectively.

Learn more about perimeter click;

https://brainly.com/question/6465134

#SPJ2

Other Questions
A pathologist detects negri bodies while examining a brain section taken at autopsy. What was the cause of death?. Which of the following is NOT TRUE about asteroids or comets?O Asteroids are in a fixed orbit in the solar system like a ring between Mars and Jupiter.O Comets are made of ice and rock with a "tail" we can see when it gets close to the Sun.Asteroids are basically big pieces of ice floating in the solar systemComets have huge orbits that can keep them away from Earth for hundreds or even thousands of years. 4. How can you calculate the solubility of a gas in a liquid under differentpressures 3a-2b=50, 2a+3b=100 what does a equal and what does b equal? Put the stages of addiction in order from Stage 1 to Stage 5: addiction, tolerance, continued use, first use, and dependence. A sporting goods company near the beach rents bicycles for $10 plus &5 per hour. Write an equation inslope-intercept form that shows the total cost, y, of renting a bicycle for x hours. How much would it costEmily to rent a bicycle for 6 hours? Carolyn and Ken are learning about the geosphere, atmosphere, biosphere, and hydrosphere. They put sand in a small swimming pool. They dug a hole in the middle and filled the hole with water. They turned a fan on and watched how the water and sand changed. Find the surface area of the cone in terms of pi. 15cm 3cm write a essay about my country is my home We would drive home early _____ rainy. Although vaccines cannot be used to treat a person who is sick, they can help to prevent infections. Vaccinations tell the body to create memory cells, which will function later to create antibodies against certain pathogens. When a person is vaccinated, what are they injected with?. What is the name of the relationship between 3 and 7?A)alternate exterior anglesB)corresponding anglesC)alternate interior anglesD)adjacent angles What do you need to build a silo in stardew valley. The first step in the process for factoring the trinomial x^2-4x-32 is to: The value of Betty's car decreased from $22,000 to $18,700. What is the percent decrease in Betty's car? Scout is unable to sleep because she is so scared? The OutsidersDo you think Ponyboy really wants to fight and participate in the rumble thats going to happen between the Socs and the Greasers? Why or why not please help me Ill make u brainliest A 1 liter jar contains 0.5 moles of gas at a pressure of 2 atm. What is the temperature of the gas?What is the volume of acontainer of 4 moles of gas at 200 K with a pressure of 3 atm?Your scientist friend is trying to figure out how many molecules of gas are in a container. They know that the container has a volume of 5 liters, and they measured the pressure and temperature to be 3.5 atm and 275 K. From this information, what do you tell them the mole measurement should be? read above please :D In Nectar in a Sieve Hope and fear, Rukmani says:A) enable the women to bear sonsB) keep the colonial authority in powerC) make the land more productiveD) are ever-present forces in their lives