All categories

3 years ago

3/4 2/3 5/6 5/7 least to greatest

Mathematics

2 answers:

KatRina [158]3 years ago

8 0

Answer:

2/3 < 5/7 < 3/4 < 5/6

Step-by-step explanation:

<u>Method 1</u> : Converting to decimals

2/3 = 0.66

5/7 = 0.71

3/4 = 0.75

5/6 = 0.83

0.66 < 0.71 < 0.75 < 0.83

<u>Method </u>2 : Converting to fractions with same denominators

(2x28) / (3x28) = 56 / 84

(5x12)/(7x12) = 60/84

(3x21)/(4x21) = 63/84

(5x14)/(6x14) = 70/84

56 / 84 < 60/84 < 63/84 < 70/84

Lana71 [14]3 years ago

6 0

Answer:

2/3, 5/7, 3/4, 5/6.

Step-by-step explanation:

Convert each one to a decimal fraction:

3/4 = 0.75

2/3 = 0.666..

5/6 = 0.8333..

5/7 = 0.714

So least to greatest is

2/3, 5/7, 3/4, 5/6.

You might be interested in

It's a question from real and complex numbers which I can't solve. so someone PLZ HeLp

Semmy [17]

Answer:

$\frac{1}{5}$

Step-by-step explanation:

Using the rules of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$ , $\frac{a^{m} }{a^{n} }$ = $a^{(m-n)}$ , $(a^m)^{n}$ = $a^{mn}$

Simplifying the product of the first 2 terms

$\frac{a^{p^2+pq} }{a^{pq+q^2} }$ × $\frac{a^{q^2+qr} }{a^{qr+r^2} }$

= $a^{p^2-q^2}$ × $a^{q^2-r^2}$

= $a^{p^2-r^2}$

Simplifying the third term

5( $(a^p+r)^{p-r}$

= 5 $a^{(p+r)(p-r)}$ = 5 $a^{(p^2-r^2)}$

Performing the division, that is

$\frac{a^{(p^2-r^2)} }{5a^{(p^2-r^2)} }$ ← cancel $a^{(p^2-r^2)}$ on numerator/ denominator leaves

= $\frac{1}{5}$

4 0

3 years ago

An 80 kg boat that is 9.6 m in length is initially 7.6 m from the pier. A 46 kg child stands at the end of the boat closest to t

kakasveta [241]

Answer:

13.695 m

Step-by-step explanation:

The assumption made here is that the boat/water interface is essentially frictionless, so that the center of mass of the system remains in the same place as the occupant of the boat moves around.

We can find the sum of the moments of boat and child about the pier end:

(46 kg)(7.6 m) + (80 kg)((7.6 +9.6/2) m) = 1341.6 kg·m

After the child moves, the center of mass of boat and child is presumed to remain in the same place. If x is the new distance from the pier to the child, the sum of moments is now ...

46x +80(x-4.8)* = 1341.6

126x -384 = 1341.6

x = (1341.6 +384)/126 = 13 73/105 ≈ 13.695 . . . meters

The child is about 13.695 meters from the pier when she reaches the far end of the boat.

_____

* The center of mass of the boat alone is half its length closer to the pier than is the child, so is located at x-4.8 meters.

6 0

3 years ago

Plz help I’m timed :(

Murrr4er [49]

Answer:

y=5/3x+5

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Determine whether each of the following functions is a solution of laplace's equation uxx uyy = 0.

ratelena [41]

Both functions are the solution to the given Laplace solution.

Given Laplace's equation: $u_{x x}+u_{y y}=0$

We must determine whether a given function is the solution to a given Laplace equation.
If a function is a solution to a given Laplace's equation, it satisfies the solution.

(1) $u=e^{-x} \cos y-e^{-y} \cos x$

Differentiate with respect to x as follows:

$u_x=-e^{-x} \cos y+e^{-y} \sin x\\u_{x x}=e^{-x} \cos y+e^{-y} \cos x$

Differentiate with respect to y as follows:

$u_{x x}=e^{-x} \cos y+e^{-y} \cos x\\u_{y y}=-e^{-x} \cos y-e^{-y} \cos x$

Supplement the values in the given Laplace equation.

$e^{-x} \cos y+e^{-y} \cos x-e^{-x} \cos y-e^{-y} \cos x=0$

The given function in this case is the solution to the given Laplace equation.

(2) $u=\sin x \cosh y+\cos x \sinh y$

Differentiate with respect to x as follows:

$u_x=\cos x \cosh y-\sin x \sinh y\\u_{x x}=-\sin x \cosh y-\cos x \sinh y$

Differentiate with respect to y as follows:

$u_y=\sin x \sinh y+\cos x \cosh y\\u_{y y}=\sin x \cosh y+\cos x \sinh y$

Substitute the values to obtain:

$-\sin x \cosh y-\cos x \sinh y+\sin x \cosh y+\cos x \sinh y=0$
The given function in this case is the solution to the given Laplace equation.

Therefore, both functions are the solution to the given Laplace solution.

Know more about Laplace's equation here:

brainly.com/question/14040033

#SPJ4

The correct question is given below:
Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u = e^(−x) cos(y) − e^(−y) cos(x) u = sin(x) cosh(y) + cos(x) sinh(y)

6 0

2 years ago

In ΔDEF, d = 5.2 inches, e = 6.8 inches and ∠F=166°. Find the length of f, to the nearest 10th of an inch.

irina1246 [14]

Answer:

11.9

Step-by-step explanation:

deltamath gave me the answer

8 0

3 years ago