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
makvit [3.9K]
2 years ago
12

two sets of 3 consecutive integers have a property that the product of the larger two is one less than seven times the smallest

set up and solve an equation that can be used to find both sets of intigers
Physics
1 answer:
Alchen [17]2 years ago
7 0
Answer:
First set is 3,4 and 5
Second set is 1,2 and 3

Explanation:
Assume that the smallest number is n.
Since the three numbers are consecutive, this means that the other two numbers would be n+1 and n+2

Now, we know that the product of the larger two numbers is 1 less tan than 7 times the smallest.
This means that: 
(n+1)(n+2) = 7n - 1 .........> equation used to find the sets
n² + 2n + n + 2 = 7n - 1
n² + 3n + 2 = 7n - 1
n² + 3n + 2 - 7n + 1 = 0
n² - 4n + 3 = 0
(n-3)(n-1) = 0
This means that:
either n-3=0 ..........> n = 3
or n-1=0 ..........> n = 1

At n = 3:
The three numbers would be 3,4 and 5

At n = 1:
The three numbers would be 1,2 and 3

Hope this helps :)

You might be interested in
Instead of moving back and forth, a conical pendulum moves in a circle at constant speed as its string traces out a cone (see fi
tigry1 [53]

Answer:

a

The  radial acceleration is  a_c  = 0.9574 m/s^2

b

The horizontal Tension is  T_x  = 0.3294 i  \ N

The vertical Tension is  T_y  =3.3712 j   \ N

Explanation:

The diagram illustrating this is shown on the first uploaded

From the question we are told that

   The length of the string is  L =  10.7 \ cm  =  0.107 \ m

     The mass of the bob is  m = 0.344 \  kg

     The angle made  by the string is  \theta  =  5.58^o

The centripetal force acting on the bob is mathematically represented as

         F  =  \frac{mv^2}{r}

Now From the diagram we see that this force is equivalent to

     F  =  Tsin \theta where T is the tension on the rope  and v is the linear velocity  

     So

          Tsin \theta  =   \frac{mv^2}{r}

Now the downward normal force acting on the bob is  mathematically represented as

          Tcos \theta = mg

So

       \frac{Tsin \ttheta }{Tcos \theta }  =  \frac{\frac{mv^2}{r} }{mg}

=>    tan \theta  =  \frac{v^2}{rg}

=>   g tan \theta  = \frac{v^2}{r}

The centripetal acceleration which the same as the radial acceleration  of the bob is mathematically represented as

      a_c  =  \frac{v^2}{r}

=>  a_c  = gtan \theta

substituting values

     a_c  =  9.8  *  tan (5.58)

     a_c  = 0.9574 m/s^2

The horizontal component is mathematically represented as

     T_x  = Tsin \theta = ma_c

substituting value

   T_x  = 0.344 *  0.9574

    T_x  = 0.3294 \ N

The vertical component of  tension is  

    T_y  =  T \ cos \theta  = mg

substituting value

     T_ y  =  0.344 * 9.8

      T_ y  = 3.2712 \ N

The vector representation of the T in term is of the tension on the horizontal and the tension on the vertical is  

         

       T  = T_x i  + T_y  j

substituting value  

      T  = [(0.3294) i  + (3.3712)j ] \  N

         

3 0
3 years ago
What is a disadvantage of shared decision-making?
Snezhnost [94]
The disadvantages of shared decision making are:
Adopting a wrong advice from a member can lead to a big risk to the company and the business. 
Further, increased number of advice also confuses the person, about which to follow and which to ignore. 
There is also diffusion of responsibility and lowered efficiency.
8 0
3 years ago
The volume occupied by a sample of gas is 480 mL when the pressure is 115 kPa.What pressure must be applied to the gas to make i
balandron [24]

Answer:

The answer is

<h2>84.9 kPa</h2>

Explanation:

Using Boyle's law to find the final pressure

That's

P_1V_1 = P_2V_2

where

P1 is the initial pressure

P2 is the final pressure

V1 is the initial volume

V2 is the final volume

Since we are finding the final pressure

P_2 =  \frac{P_1V_1}{V_2}

From the question

P1 = 115 kPa

V1 = 480 mL

V2 = 650 ml

So we have

P_2 =  \frac{115000 \times 480}{650}  = \frac{55200000}{650}  \\  = 84923.076923...

We have the final answer as

<h3>84.9 kPa</h3>

Hope this helps you

7 0
3 years ago
The force between charged objects decreases when their separation ..... A)increase<br> B)decrease
weqwewe [10]
Answer A: When their separation increases.

Hope this helps! :D
6 0
2 years ago
A water wave approaches a wall with a small hole in it. The wave is blocked by the wall, except for the part that goes through t
Eduardwww [97]

Answer:

diffraction

Explanation:

took da test

7 0
2 years ago
Other questions:
  • Pancake syrup taken out of the refrigerator will be difficult to pour because low temperature increases viscosity.
    6·2 answers
  • A strand of 10 lights is plugged into an outlet. How can you determine if the lights are connected in series or parallel? Select
    8·1 answer
  • What is the volume when 6.60 kg of aluminum cans are melted, then cooled into a solid cube? the density of aluminum cans is 2.70
    14·1 answer
  • What happens to steam as it releases thermal energy inside a radiator?
    12·1 answer
  • In a photoelectric effect experiment, it is observed that violet light does not eject electrons from a particular metal. Next, r
    15·1 answer
  • Two postal delivery workers have different routes. They both travel from the post office, to neighborhoods to deliver mail, and
    9·1 answer
  • In a series circuit, the current is _______
    14·2 answers
  • A girl running around a circular track of radius 200 m completes one
    9·1 answer
  • One consequence of Newton's third law of motion is that __________. A. Every object that has mass has inertia B. A force acting
    14·1 answer
  • The end point of a spring oscillates with a period of 2.0 s when a block with mass m is attached to it. When this mass is increa
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!