1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
klio [65]
3 years ago
15

The pressure applied to a leverage bar varies inversely as the distance from the object. If 150 pounds is required for a distanc

e of 10 inches from the object how much pressure is needed for a distance of 3 inches
Mathematics
1 answer:
AlexFokin [52]3 years ago
4 0

Answer:

500 pounds

Step-by-step explanation:

Let the pressure applied to the leverage bar be represented by p

Let the distance from the object be represented by d.

The pressure applied to a leverage bar varies inversely as the distance from the object.

Written mathematically, we have:

p \propto \dfrac{1}{d}

Introducing the constant of proportionality

p = \dfrac{k}{d}

If 150 pounds is required for a distance of 10 inches from the object

  • p=150 pounds
  • d=10 inches

150 = \dfrac{k}{10}\\\\k=1500

Therefore, the relationship between p and d is:

p = \dfrac{1500}{d}

When d=3 Inches

p = \dfrac{1500}{3}\\\implies p=500$ pounds

The pressure applied when the distance is 3 inches is 500 pounds.

You might be interested in
Cards. A deck of 52 cards is shuffled and dealt. Find the probabilities of the following events: a) the tenth card is a queen; b
Veronika [31]

Answer:

  • 0.0374
  • 0.0010

Step-by-step explanation:

number of cards = 52

number of queen = 4

number of spades = 13

A) probability that the tenth card is a queen

drawn time (r) = 1

position of success(x) = 10th

p = 4/52

P( x,r,p) = x-1Cr-1*p^(r) * q^(x-r)

p(10,1,4/52) = 9C0(4/52)^1 * (48/52)^9 = 0.0374

B) probability the twentieth card is a spade

x = 20

r = 1

p = 13 / 52

P(20,1,26/52) = 19C0(26/52)^1 * (26/52)^19 = 0.0010

c)  The last five cards been spades

p(last five cards been spades )

p(48..52, 5, 13/52 ) = 47...52C4(13/52)^5 * (39/52)^48..52 - 5

 

4 0
3 years ago
The following function represents the value of a house, in dollars, after x years: f(x) = 242,000(1.04)x What does 1.04 represen
zmey [24]
The number 1.04 represents the rate at which the house appreciates, or increases in its price annually.

As according to the values of an exponential equation, which is represented by this: y=ab^x, the a value represents the original price, the b value represents the rate of growth/decay (if growth, you add 1 to the rate, if decay, you subtract the rate from 1), and x represents the amount of times it decays or grows.

As according to the function <span> f(x) = 242,000(1.04)^x, 242,000 is the original price and 1.04 is the rate of growth since 1 has been added to the the 4% annual growth.</span>
5 0
3 years ago
If "i" is raised to an odd power, then it cannot simplify to be <br> a)-1<br> b)-i<br> c)i
3241004551 [841]
i ^1 = i
i ^ 2 = - 1
i ^ 3 = - i
i ^4 = 1
etc.
................
"i" raised to an odd power cannot simplify to be : A ) - 1
6 0
3 years ago
Read 2 more answers
Rebecca has 12 photos she wants to hang side by side on her wall.A. If she only wants to display 8 of the photos, in how many wa
Mariana [72]

A.

If she will choose 8 from 12 photos, the total number of ways she can choose is given by a combination of 12 choose 8, since the order of the photos doesn't matter.

The formula for a combination of n choose p is:

C(n,p)=\frac{n!}{p!(n-p)!}

For n = 12 and p = 8, we have:

C(12,8)=\frac{12!}{8!(12-8)!_{}}=\frac{12\cdot11\cdot10\cdot9\cdot8!}{8!\cdot4!}=\frac{12\cdot11\cdot10\cdot9}{4\cdot3\cdot2}=495

So there are 495 ways.

B.

If she wants to arrange the 12 photos, the total number of ways is given by the factorial of 12:

12!=12\cdot11\cdot10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2=479001600

There are 479,001,600 ways.

C.

Since 10 photos already have specific places, we need to calculate the number of ways to arrange the other two photos in the two remaining places.

In this case, there are only 2 ways of organizing the remaining two photos:

Photo 1 first, photo 2 last, or photo 1 last and photo 2 first.

6 0
1 year ago
I need help! Will give another brainliest
Vikki [24]

Answer:

i think 16.

Step-by-step explanation:

It looks like a pie so i would recomend breaking down the shape.

8 0
3 years ago
Read 2 more answers
Other questions:
  • There is the picture I forgot to add it the first time my apologies
    7·1 answer
  • you have 12 cards. one out of every 4 cards is faceup. the rest are facedown. how many cards are faceup
    10·1 answer
  • In the figure, ΔABC ∼ ΔDEF. Solve for x.  picture attached.
    13·2 answers
  • Find the percent of change in altitude if a weather balloon moves from 50 ft to 95 ft. Describe the percent of change as an incr
    10·1 answer
  • What is the solution to the equation One-third (x minus 2) = one-fifth (x + 4) + 2?
    5·1 answer
  • "At most" and "No more than" are both clue words for...<br> a) <br> c)≤<br> d)≥
    14·2 answers
  • Which values are solutions to the inequality below?
    14·1 answer
  • 8.01 × 10^-2 round the coefficient to two decimal places
    6·1 answer
  • I NEED HELP PLEASE ASAP!!
    15·1 answer
  • Solve for X<br><br> B. X<br> X<br> 152
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!