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
densk [106]
2 years ago
12

If p is inversely proportional to the square of q, and p is 16 when q is 11, determine p

Mathematics
2 answers:
user100 [1]2 years ago
8 0

Answer:

p= 121

Step-by-step explanation:

p\alpha \frac{1}{q^{2} }

p=k/q^{2}

k=pq^{2}

Get the value of your constant k

k=(16)(11^{2})

k= 1936

p= \frac{1936}{q^{2} }

When q=4

p=  \frac{1936}{4^{2} }

p= 121

Blizzard [7]2 years ago
5 0

Answer:

p = 121

Step-by-step explanation:

inveresly proportional

pq² = k

find k the constant of proportionality

p is 16 when q is 11,

16 * 11² = k

k = 1,936

----------------------------

pq² = 1,936

determine p when q is equal to 4.

p * 4² = 1,936

16p = 1,936

p = 1,936/16

p = 121

You might be interested in
Solve for x. Round to the nearest tenth, if necessary. 1.8 & x
Valentin [98]

Answer:

x ≈ 1.4

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = \frac{opposite}{hypotenuse} = \frac{RS}{RT} = \frac{x}{1.8} ( multiply both sides by 1.8 )

1.8 × sin50° = x , then

x ≈ 1.4 ( to the nearest tenth )

7 0
2 years ago
Directions: Calculate the percent increase or decrease between the starting and ending
valentinak56 [21]

Answer:233.333%

Step-by-step explanation:

1. 10-3=7 subtract end by start

2.7/3=2.333 divide difference by absolute value of start

32.333x100=233.333% multiply by 100 if negative its decreasing if positive it increasing

hoped this helped

8 0
3 years ago
Read 2 more answers
Jason and Britton are driving to St. George. Jason got a 20 mile head start and drove an
harina [27]

Answer:

  2 hours, 150 miles

Step-by-step explanation:

The relation between time, speed, and distance can be used to solve this problem. It can work well to consider just the distance between the drivers, and the speed at which that is changing.

<h3>Separation distance</h3>

Jason got a head start of 20 miles, so that is the initial separation between the two drivers.

<h3>Closure speed</h3>

Jason is driving 10 mph faster than Britton, so is closing the initial separation gap at that rate.

<h3>Closure time</h3>

The relevant relation is ...

  time = distance/speed

Then the time it takes to reduce the separation distance to zero is ...

  closure time = separation distance / closure speed = 20 mi / (10 mi/h)

  closure time = 2 h

Britton will catch up to Jason after 2 hours. In that time, Britton will have driven (2 h)(75 mi/h) = 150 miles.

__

<em>Additional comment</em>

The attached graph shows the distance driven as a function of time from when Britton started. The distances will be equal after 2 hours, meaning the drivers are in the same place, 150 miles from their starting spot.

3 0
1 year ago
Mike makes and sells skateboards. If he has a cost of $6,200 per year plus a cost of $15 per skateboard, how many skateboards mu
Roman55 [17]

Answer: 310

Step-by-step explanation:

35-15= 20

6200 / 20 = 310

3 0
2 years ago
Charity is four times as old as her daughter. She is also six years younger than her husband. The sum of their ages ten years to
zubka84 [21]

Answer: Charity is 36 years old today.

Step-by-step explanation:

Let x = Present age of daughter.

Age of Charity = 4x

Age of her husband = 4x+6

After 10 years,

Age of daughter = x+10

Age of Charity = 4x+10

Age of her husband = 4x+6+10=4x+16

As per given,

x+10+4x+10+4x+16=117

9x+36=117\\\\ 9x=117-36\\\\ 9x=81\\\\ x=9

Present age of Charity = 4(9)=36 years

Hence, Charity is 36 years old today.

4 0
3 years ago
Other questions:
  • Which is the solution for log(3x - 1) + log 2 = log 4 + log (x + 2) ?​
    8·2 answers
  • 56 1/4% in simplest form. don't understand how to do it
    14·2 answers
  • Solve −4(x + 10) − 6 = −3(x − 2).<br> A.−40 B.−46 C.−52 D.52
    8·2 answers
  • Find the volume of following cube:<br><br> Figure is not drawn to scale<br><br> Volume of the cube =
    5·1 answer
  • How many cubic (i.e., third-degree) polynomials $f(x)$ are there such that $f(x)$ has positive integer coefficients and $f(1)=9$
    12·1 answer
  • A cab service charges a flat rate of $3.25 and an additional $0.75 per mile. Ashley has $10. What is the maximum number of miles
    15·1 answer
  • Witch number is a palindrome 6554 or 606
    10·2 answers
  • A student recorded her scores on weekly math
    9·1 answer
  • Which is the conclusion of this statement?
    8·2 answers
  • GETS BRAINLIEST AND 100 POINTS!!!!!<br> FIND THE INTERVAL OF THE CONVERGENCE
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!