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
swat32
3 years ago
13

Frodo ran 2 1/5 miles in 7/12 of an hour. How many miles can Frodo run in one hour?

Mathematics
1 answer:
iVinArrow [24]3 years ago
4 0

Answer:

\frac{132}{35}

Step-by-step explanation:

In \frac{7}{12} of an hour, Frodo ran 2\frac{1}{5} miles

                                         = \frac{11}{5}

So,

Multiplying both sides by \frac{12}{7} , we get,


In \frac{7}{12}*\frac{12}{7} hour, Frodo ran \frac{11}{5}*\frac{12}{7}

                                         = \frac{132}{35} miles

You might be interested in
The shape is a rectangle, will you please help me find the angle measures of 1,2 and 3?
Ulleksa [173]

Answer:

  ∠1 = ∠3 = 54°; ∠2 = 36°

Step-by-step explanation:

Each of the triangles is isosceles. Triangles opposite each other are congruent, so ∠2 is congruent to 36°.

∠2 and ∠3 are complementary, so ∠3 is 54°. Since ∠3 is congruent to ∠1, it, too, is 54°.

8 0
3 years ago
Find the derivative of f(x)= (e^ax)*(cos(bx)) using chain rule
Vikentia [17]

If

f(x) = e^{ax}\cos(bx)

then by the product rule,

f'(x) = \left(e^{ax}\right)' \cos(bx) + e^{ax}\left(\cos(bx)\right)'

and by the chain rule,

f'(x) = e^{ax}(ax)'\cos(bx) - e^{ax}\sin(bx)(bx)'

which leaves us with

f'(x) = \boxed{ae^{ax}\cos(bx) - be^{ax}\sin(bx)}

Alternatively, if you exclusively want to use the chain rule, you can carry out logarithmic differentiation:

\ln(f(x)) = \ln(e^{ax}\cos(bx)} = \ln(e^{ax})+\ln(\cos(bx)) = ax + \ln(\cos(bx))

By the chain rule, differentiating both sides with respect to <em>x</em> gives

\dfrac{f'(x)}{f(x)} = a + \dfrac{(\cos(bx))'}{\cos(bx)} \\\\ \dfrac{f'(x)}{f(x)} = a - \dfrac{\sin(bx)(bx)'}{\cos(bx)} \\\\ \dfrac{f'(x)}{f(x)} = a-b\tan(bx)

Solve for <em>f'(x)</em> yields

f'(x) = e^{ax}\cos(bx) \left(a-b\tan(bx)\right) \\\\ f'(x) = e^{ax}\left(a\cos(bx)-b\sin(bx))

just as before.

4 0
3 years ago
What is 15% of 110???????????
Gnoma [55]
16.5 is the answer :)
6 0
3 years ago
Read 2 more answers
Is the triangle in the picture a right angle triangle? Explain how you know
Nat2105 [25]

Answer:

No

Step-by-step explanation:

4^2+6^2=8^2?

16+36=64?

52=64?

No.

5 0
3 years ago
In a far-off land three fish can be traded for two loaves of bread and a loaf of bread can be traded for four bags of rice. How
timofeeve [1]
2.5 bags of rice are worth one fish
3 0
3 years ago
Other questions:
  • In ∆abc, m∠cab = 2x and m∠​acb = x + 30. if line segment a b is extended through point b to point d, m∠​cbd = 5x − 50. what is t
    14·1 answer
  • How many times does 452 go into 95
    15·1 answer
  • What is the midpoint between n(- 4, 4) and (- 2, 2)
    15·1 answer
  • Solve the following equations for x, and give evidence that your solutions are correct (x/2)+(1/3)=(5/6).
    6·1 answer
  • The diameter d of a sphere is twice the radius r. The volume of the sphere as a function of its radius is given by v(r)= 4/3(3.4
    15·1 answer
  • which of the following functions gives the radius,r(v), of a conical artifact that is 20 inches tall as a function of its volume
    8·2 answers
  • If 571 - 397 = 174, then 174 + 397 = 571. Explain why this statement is true using numbers, pictures, or words.
    6·1 answer
  • Use technology to help you test the claim about the population mean, mu, at the given level of significance, alpha, using the gi
    10·1 answer
  • Select the correct answer Find the product 3(x + 4)(x - 5)<br>​
    6·1 answer
  • What do I dooooooooooo I need help asap
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!