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
gladu [14]
2 years ago
9

Hello I would really appreciate if someone could help me with this math question. I’m so confused

Mathematics
1 answer:
Katarina [22]2 years ago
4 0

Answer:

  a. f = 17.5/c

  b. 8.75 N

Step-by-step explanation:

<h3>(a)</h3>

Inverse variation means one variable is proportional to the inverse of the other. The equation for that is ...

  f = k(1/c) . . . . . . force (f) is proportional to the inverse of distance (c)

We find the value of k using data given for a specific instance.

  3.5 N = k(1/(5 cm)) . . . . use the given values

  17.5 N·cm = k . . . . . . multiply by the denominator

Then the equation of interest is ...

  f = 17.5/c . . . . . . . where c is in cm, and f is in newtons

__

<h3>(b)</h3>

Using the above equation, we find the force to be ...

  f = 17.5/2 = 8.75 . . . . newtons

_____

<em>Additional comment</em>

We often look at several different kinds of proportionality:

  • y = kx . . . . direct
  • y = k(1/x) . . . . inverse
  • y = kx² . . . . proportional as the square
  • y = kx·z . . . . jointly proportional to x and z

and there are combinations of these, such as ...

  • y = kr²h . . . . jointly proportional to h and the square of r

You may have noticed that when x and y are inversely proportional, their product is a constant. y = k/x  ⇒  xy = k

__

We have left off the units of k in the problem above. Sometimes it is a good idea to retain them, or to pay close attention to what they are. This can avoid using the wrong measures for the variables.

  f = (17.5 N·cm)/(2 cm) = 8.75 N . . . . . units of cm cancel

You might be interested in
I am going to get a b in abstract algebra do i suck at math
I am Lyosha [343]
If you are going to get a "B" then NO!
7 0
4 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=5xy%20%7B%20-%20x%7D%20%5E%7B2%7D%20%7Bt%7D%20%20%2B%202xy%20%2B%203x%20%7B%7D%5E%7B2%7D%20t"
fenix001 [56]

Answer: 7xy + 2x^2t

Step-by-step explanation:

6 0
2 years ago
Factor 15z^2+17z-18 please show work
siniylev [52]

There is no common factor between 15, 17 and 18 because 17 is prime.  

15z² +17z - 18 =  

d = 17² - 4.15.-18  

d = 289 + 1080  

d = 1369  

z = (-17 +/- \/1369) : 2 * 15  

z = (-17 + 37) : 30  

z' = 20 : 30 = 2/3  

z" = (-17 - 37) : 30  

z" = -54 : 30 = -1.8  

<><

7 0
3 years ago
Please answer this correctly without making mistakes
katrin2010 [14]

Answer:

16 km

Step-by-step explanation:

Given:

Distance from Washington to Stamford = distance from Washington to Salem + distance from Salem to Stamford = 10.3 km + 11.9 km = 22.2 km

Distance from Washington to Oakdele = 6.2 km

Required: the difference between the distance from Washington to Stamford and from Washington to Oakdele

Solution:

Distance from Washington to Stamford = 22.2 km

Distance from Washington to Oakdele = 6.2 km

The difference = 22.2 km - 6.2 km = 16 km

Therefore, from Washington, it is 16 km farther to Stamford than to Oakdele.

8 0
3 years ago
16,048 divided by 1/16​
natima [27]

Answer:256768

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • there are 150 sheep in a flock 34% of them are white what is the total number of white sheep in the flock?
    5·1 answer
  • Which of the following best describes set of numbers 6,9,12,15...
    5·2 answers
  • Anything helps ! Brainilest to right answer only .!
    14·1 answer
  • PLEASE ANSWER ASAP What is the solution of each proportion?
    11·1 answer
  • The circle is centered at the origin and the length of its radius is three. What is the circles equation
    6·1 answer
  • Gasoline in Mexico is measured in liters. One gallon is equal to 3.785 liters.
    7·2 answers
  • How to solve p-10/-2=0
    14·2 answers
  • 194 people must be split into 2 equal groups. how many people in eachgroup<br><br> fast if possible
    6·1 answer
  • the ratio of boys to girls in the grade 3 classes at domino primary school is 3:5 . if there are 280 grade 3 learners, how many
    14·1 answer
  • I need help this is geometry
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!