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3 years ago

Can someone please help me with these questions

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

3 0

Answer:

easy

bro

Step-by-step explanation:

so you have to calculate the equation

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The total profit P of manufacturing x hundred DVD's is given by the equation below.

hichkok12 [17]

Answer:

x = -7.5

Step-by-step explanation:

P = 600 + 1,500x − 100x^2

P = − 100x^2 + 1,500x + 600

x = -b/2a

1500/ (2 x -100)

x = -7.5

7 0

3 years ago

Help please triangles and trig

Oksanka [162]

Answer:

$\sin L = \frac{3}{5}$

$\tan N = \frac{4}{3}$

$\cos L = \frac{4}{5}$

$\sin N = \frac{4}{5}$

Step-by-step explanation:

Given

The above triangle

First, we calculate the length LM using Pythagoras theorem.

$LN^2 = LM^2 + MN^2$

$10^2 = LM^2 + 6^2$

$100 = LM^2 + 36$

Collect like terms

$LM^2 = 100 - 36$

$LM^2 = 64$

Take positive square root

$LM=8$

Solving (a): Sin L

$\sin L = \frac{Opposite}{Hypotenuse}$

$\sin L = \frac{MN}{LN}$

$\sin L = \frac{6}{10}$

Simplify

$\sin L = \frac{3}{5}$

Solving (b): tan N

$\tan N = \frac{Opposite}{Adjacent}$

$\tan N = \frac{LM}{MN}$

$\tan N = \frac{8}{6}$

Simplify

$\tan N = \frac{4}{3}$

Solving (c): cos L

This calculated as:

$\cos L = \frac{Adjacent}{Hypotenuse}$

$\cos L = \frac{LM}{LN}$

$\cos L = \frac{8}{10}$

Simplify

$\cos L = \frac{4}{5}$

Solving (d): sin N

This is calculated using:

If $a + b = 90$

Then: $\sin a = \cos b$

So:

$\sin N = \cos L$

$\sin N = \frac{4}{5}$

8 0

3 years ago

The first term of an arithmetic sequence is 4. The

Sliva [168]

-1 i think that the answer is -1

5 0

3 years ago

Please Help!

xz_007 [3.2K]

Answer:

See attached

Step-by-step explanation:

<em>Refer to attachment</em>

a. Law of Syllogism
b. No valid conclusion
c. Law of Detachment

8 0

4 years ago

Read 2 more answers

24. A tank can be filled by a pipe in 30 minutes and emptied by another pipe in 50 minutes. How many minutes will it take to fil

OleMash [197]

Answer:

75 minutes

Step-by-step explanation:

The rate at which the tank is filled up, F, and emptied, E, are respectively:

$F=\frac{V}{30}*60 = 2V/hour\\E=\frac{V}{50}*60 = 1.2V/hour$

Since V is the full volume of the tank, the time required to fill the tank if both pipes are open is given by:

$F-E=2V/hour-1.2V/hour = 0.8V/hour\\t= \frac{1}{0.8}=1.25\ hours = 75\ minutes$

It will take 75 minutes to fill the tank if both pipes are open.

4 0

3 years ago