All categories

3 years ago

p varies directly as q and inversely as r. One set of values is p = 5, q = 1, and r = 2. Find p when q = 10 and r = 50.

Mathematics

1 answer:

Alexeev081 [22]3 years ago

7 0

P = kq/r

5 = k*1/2
k = 2*5 = 10

p = 5*10/50 = 1
P is 1.

Hope it helps!

You might be interested in

The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and sm

Ierofanga [76]

Answer:

We have the formula for determing the area of an ellipse : a = Pi * x * y, and we have to find the equivalent equation solved for y. In this formula x is half the length of the largest and y is half the length of the smallest diameter of the ellipse. Pi is approx. 3.14. Starting with: a = Pi * x * y ( we will divide both sides of the equation by: Pi * x ) => a /(Pi*x) = y. Answer: y = a / (Pi*x).

Plz mark brainliest if this helps!

4 0

3 years ago

9. start from 110 feet away, a person on a bicycle rides towards a checkpoint and then it passes it. the rider is traveling at a

Zinaida [17]

Answer:

A. 2.3 sec and 5 sec

Step-by-step explanation:

We are given that start from 110 feet away, a person on a bicycle rides towards a checkpoint and then it passes it. the rider is traveling at a constant rate of 30 feet per second.

The distance between the bicycle and the checkpoint is given by the equation :

$d=|110-30t|$

Now we are required to calculate at what times is the bike 40 feet away from the checkpoint. So, substitute d = 40 in the equation

$40=|110-30t|$

$40=110-30t$ and $40= -110+30t$

$30t=110-40t$ and $40+110=30t$

$30t=70$ and $150=30t$

$t=\frac{70}{30}$ and $\frac{150}{30}=t$

$t=2.3$ and $5=t$

Hence at 2.3 sec and 5 sec the bike is 40 feet away from the checkpoint.

8 0

3 years ago

The social studies teacher wants to know whether the students in the entire school prefer a model United Nations activity or a s

Tcecarenko [31]

C bc all of the students school wide need to be represented

6 0

3 years ago

Read 2 more answers

Find the integral, using techniques from this or the previous chapter.<br> ∫x(8-x)3/2 dx

Soloha48 [4]

Answer:

$\int x(8-x)^{3/2}dx= -\frac{16}{5} (8-x)^{\frac{5}{2}} +\frac{2}{7} (8-x)^{\frac{7}{2}} +C$

Step-by-step explanation:

For this case we need to find the following integral:

$\int x(8-x)^{3/2}dx$

And for this case we can use the substitution $u = 8-x$ from here we see that $du = -dx$ , and if we solve for x we got $x = 8-u$ , so then we can rewrite the integral like this: