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faltersainse [42]
3 years ago
12

Let u=ln x and v= ln y. Write y^3x^5 in terms of u and v

Mathematics
2 answers:
sleet_krkn [62]3 years ago
7 0

Answer:

3v + 5u

Step-by-step explanation:

Write z = y^3 x^5 in terms of u and v.

Take the natural log (ln) of both sides.  Then:

ln z = 3 ln y + 5 ln x

Substituting u for ln x and v for ln y, we get:

ln z = 3v + 5u (answer)

Natali5045456 [20]3 years ago
5 0

Answer:

3v + 5u

Step-by-step explanation:

You might be interested in
Which ordered pair is a solution of the equation? y=3x+5 A:(2,11) B:(3,13) C: Neither D: Both
FinnZ [79.3K]

Answer:

A: (2, 11).

Step-by-step explanation:

For an ordered pair to be a solution of an equation, the ordered pair must "fit".

A: (2, 11).

11 = 3(2) + 5

11 = 6 + 5

11 = 11

So, (2, 11) is a solution.

B: (3, 13).

13 = 3(3) + 5

13 = 9 + 5

13 = 14

Since 13 is not the same thing as 14, (3, 13) is not a solution.

Since A works but B doesn't, choices C and D are both eliminated. A is your answer.

Hope this helps!

7 0
3 years ago
What is the area of a 30 degree sector of a circle with area 96 pi meters ^2?
iren2701 [21]
\bf \textit{area of a circle}\\\\
A=\pi r^2~~
\begin{cases}
r=radius\\
-----\\
A=96\pi 
\end{cases}\implies 96\pi =\pi r^2
\\\\\\
\cfrac{96\underline{\pi }}{\underline{\pi }}=r^2\implies 96=r^2\implies \boxed{\sqrt{96}=r}\\\\
-------------------------------

\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}~~
\begin{cases}
r=radius\\
\theta = angle~in\\
\qquad degrees\\
------\\
\theta =30\\
r=\boxed{\sqrt{96}}
\end{cases}\implies A=\cfrac{(30)(\pi )(\sqrt{96})^2}{360}
\\\\\\
A=\cfrac{(30)(\pi )(96)}{360}\implies A=8\pi
4 0
4 years ago
A truck with 36-in.-diameter wheels is traveling at 55 mi/h.
bagirrra123 [75]

Answer:

The wheels make 512 revolutions per minute

Step-by-step explanation:

Diameter of truck = 36 in

Speed = 55 mi/h

Revolutions per minute =?

Radius r = diameter / 2

r = 36/2

r = 18 inches

Speed = 55 mi/h

1 mile = 63360 inches

55 miles = 55*63360 inches

55 miles = 3484800 inches

1 hr = 60 minutes

Speed = 3484800 inches/60 minutes

Speed = 58,080 inches/min

The formula used to calculate the revolutions per minute is:

revolutions = speed/Circumference

revolutions = 58,080 / 2*3.14*18

revolutions = 58,080 /113.4

revolutions = 512.16

revolutions = 512 revolutions per minute

So, The wheels make 512 revolutions per minute

7 0
3 years ago
8*1,000,000+8*1/1,000,000
iren [92.7K]

Answer:

Step-by-step explanation:

8000000

<em>Hope that helps!</em>

8 0
3 years ago
Read 2 more answers
Consider a hypothesis test to decide whether the mean annual consumption of beer in the nation's capital is less than the nation
vazorg [7]

Answer:

Step-by-step explanation:

Type I error occurs when the null hypothesis is rejected even when it is true.

Type II error occurs when the null hypothesis is not rejected even when it is false.

The null hypothesis is

The mean annual consumption = the national mean

The alternative hypothesis is

The mean annual consumption < the national mean

1) it is a type II error because the null hypothesis was not rejected even when it is false

2) it is a correct decision because the decision corresponds to the outcome

3) it is also a type II error

d) it is a correct decision because the null hypothesis is accepted when it is true

5 0
3 years ago
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