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
laila [671]
3 years ago
7

find a mathematicl model representing the statement. (Determine the constant of proportionality) v varies jointly as p and q and

inversely as the square of s. (v=1.6 when p=4.1, q=7 and s=1.3
Mathematics
1 answer:
Alona [7]3 years ago
5 0

Answer:

<h3>Mathematical model = v = \frac{0.09422pq}{s^{2} }</h3><h3>k = 0.09422</h3>

Step-by-step explanation:

If v varies jointly as p and q, this means that v varies directly as the product of p and q as shown;

v \alpha  pq

v = kpq... 1

k = constant of proportionality

Also v varies inversely as the square of s; mathematically,

v \alpha \frac{1}{s^{2} } \\v = \frac{k}{s^{2} }... 2

Equating 1 and 2, we have;

v = \frac{kpq}{s^{2} }

Given v = 1.6, when p=4.1, q=7 and s=1.3

k = \frac{vs^{2} }{pq}

k = \frac{1.6*1.3^{2} }{4.1*7}\\k = \frac{2.704}{28.7}\\ k =0.09422

The constant of proportionality is 0.09422

The expression therefore becomes v = \frac{0.09422pq}{s^{2} }

You might be interested in
Find the distance between (-18, 9) and (22,0).
Bumek [7]

Answer:

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
What is y=1/2x+4 in standard form?
zhuklara [117]
<h3>Answer:  x-2y = -8</h3>

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

Explanation:

Multiply both sides by 2 to clear out the fraction

y = (1/2)x+4

2y = 2[ (1/2)x + 4 ]

2y = 2*(1/2)x + 2*4

2y = x + 8

Then move the x term over to the left side

2y = x+8

2y-x = 8

-x+2y = 8

Optionally we can multiply both sides by -1

-x+2y = 8

-1*(-x+2y) = -1*8

x-2y = -8

This is in standard form Ax+By = C with A = 1, B = -2, C = -8

The reason why I multiplied both sides by -1 was to make A > 0 which is what some textbooks use as convention. Of course -x+2y = 8 is equally valid too.

8 0
3 years ago
You are setting up an 802.11a wireless network in a small office environment that includes three wireless access points. The wir
Gnom [1K]

Answer:

Start each wireless access point at a separate time.

5 0
3 years ago
Why does the formula for the number of hosts per subnet (2h – 2) require the subtraction of two hosts?
sineoko [7]
The term of humanism has been very different back during reinasance humanism and modern humanism.
Back then, the term is used to describe an act to preserve intellectual culture. In modern times, it used to describe the act to impose social justice among all human.
6 0
3 years ago
Solve for x.<br> 21x + 11 - 5 = 5
Reil [10]

Answer:

x= -1/21

Step-by-step explanation:

21x + 11 - 5 = 5

21x + 6 = 5

(-6 each side)

21x = -1

(divide 21 each side)

x= -1/21

3 0
3 years ago
Read 2 more answers
Other questions:
  • I need help ASAP!!!!PLS
    6·1 answer
  • How do you use the vertical line test?
    12·2 answers
  • 12 out of 20 doctors agree 15 out of 30 don't agree
    13·1 answer
  • What is 5/8+2/7 in a fraction
    12·2 answers
  • Convert 24% to a fraction
    10·2 answers
  • The temperature doubled.
    6·2 answers
  • Use average rates of change to determine if the function in the table is Linear or Non-linear.
    13·1 answer
  • Factor the expression 63+81
    7·1 answer
  • Bianca is planting trees along her driveway, and she has 55 sycamores and 55 palm trees to plant in one row. What is the probabi
    7·1 answer
  • Yesterday it took 40 minutes to drive to school. Today is took 32 minutes to drive to
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!