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
Artemon [7]
3 years ago
15

Given the formula D=qh, solve for q.

Mathematics
2 answers:
Nimfa-mama [501]3 years ago
8 0

Step-by-step explanation: To solve for <em>q</em> in the equation d = qh, all we have to do is get <em>q</em> by itself on the right side of the equation.

Since <em>q</em> is being multiplied by <em>h</em>, to get <em>q</em> by itself,

we simply divide both sides of the equation by <em>h</em>.

On the right, the h's cancel and we are re left with <em>q</em>.

On the left we have \frac{d}{h}.

So our answer is \frac{d}{h} = q.

netineya [11]3 years ago
3 0

Answer:

D/ h =q

Step-by-step explanation:

D = qh

Divide each side by h to isolate q

D/ h = dh/h

D/ h =q

You might be interested in
I'm having trouble with #2. I've got it down to the part where it would be the integral of 5cos^3(pheta)/sin(pheta). I'm not sur
Butoxors [25]
\displaystyle\int\frac{\sqrt{25-x^2}}x\,\mathrm dx

Setting x=5\sin\theta, you have \mathrm dx=5\cos\theta\,\mathrm d\theta. Then the integral becomes

\displaystyle\int\frac{\sqrt{25-(5\sin\theta)^2}}{5\sin\theta}5\cos\theta\,\mathrm d\theta
\displaystyle\int\sqrt{25-25\sin^2\theta}\dfrac{\cos\theta}{\sin\theta}\,\mathrm d\theta
\displaystyle5\int\sqrt{1-\sin^2\theta}\dfrac{\cos\theta}{\sin\theta}\,\mathrm d\theta
\displaystyle5\int\sqrt{\cos^2\theta}\dfrac{\cos\theta}{\sin\theta}\,\mathrm d\theta

Now, \sqrt{x^2}=|x| in general. But since we want our substitution x=5\sin\theta to be invertible, we are tacitly assuming that we're working over a restricted domain. In particular, this means \theta=\sin^{-1}\dfrac x5, which implies that \left|\dfrac x5\right|\le1, or equivalently that |\theta|\le\dfrac\pi2. Over this domain, \cos\theta\ge0, so \sqrt{\cos^2\theta}=|\cos\theta|=\cos\theta.

Long story short, this allows us to go from

\displaystyle5\int\sqrt{\cos^2\theta}\dfrac{\cos\theta}{\sin\theta}\,\mathrm d\theta

to

\displaystyle5\int\cos\theta\dfrac{\cos\theta}{\sin\theta}\,\mathrm d\theta
\displaystyle5\int\dfrac{\cos^2\theta}{\sin\theta}\,\mathrm d\theta

Computing the remaining integral isn't difficult. Expand the numerator with the Pythagorean identity to get

\dfrac{\cos^2\theta}{\sin\theta}=\dfrac{1-\sin^2\theta}{\sin\theta}=\csc\theta-\sin\theta

Then integrate term-by-term to get

\displaystyle5\left(\int\csc\theta\,\mathrm d\theta-\int\sin\theta\,\mathrm d\theta\right)
=-5\ln|\csc\theta+\cot\theta|+\cos\theta+C

Now undo the substitution to get the antiderivative back in terms of x.

=-5\ln\left|\csc\left(\sin^{-1}\dfrac x5\right)+\cot\left(\sin^{-1}\dfrac x5\right)\right|+\cos\left(\sin^{-1}\dfrac x5\right)+C

and using basic trigonometric properties (e.g. Pythagorean theorem) this reduces to

=-5\ln\left|\dfrac{5+\sqrt{25-x^2}}x\right|+\sqrt{25-x^2}+C
4 0
3 years ago
Read 2 more answers
Sarah bought a bike that costs $260. She a coupon that was worth $55 off the cost of any bike. Use the expression $260 + (-55) t
Rudiy27

Answer:

205 dollars for the bike

Step-by-step explanation:

4 0
3 years ago
Select all of the sentences that are punctuated correctly.
STatiana [176]


The dog's bowl was empty.

The singer's songs were finished.

6 0
3 years ago
Read 2 more answers
In a certain test, the number of successful candidates was three times than that of unsuccessful candidate, if there had been 16
Natali5045456 [20]

Answer:

The number of candidates is 136.

Step-by-step explanation:

3 0
3 years ago
Need number 12 plz help
dlinn [17]
I think its letter A
6 0
3 years ago
Read 2 more answers
Other questions:
  • A bag contains 3 red marbles, 6 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probabili
    13·1 answer
  • Solve each equation 4y-x=16
    7·1 answer
  • Either Table E or Table F shows a proportional relationship.
    11·1 answer
  • What is 27+3÷ 3 +4-1+72.4-34.24+6-4+75÷5 <br> Answer this fast please!
    8·2 answers
  • (9&amp;10: find the value of x &amp; each arc measure) will mark brainliest thanks
    13·1 answer
  • 6n + 4p -2n + 9=<br><br> What’s the awnser?
    10·1 answer
  • You were given 10 math problems for homework. You completed 6/10 of them at school. Which equation shows how to find the fractio
    8·2 answers
  • X^2+16x+64 can anyone show the work for this and find the factor.
    12·1 answer
  • Find the missing side of each right triangle (((((Pythagorean’s Theorem))))))))
    5·1 answer
  • Which sets of angles add to equal 180°?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!