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natima [27]
3 years ago
6

What is the approximate percent decrease when a fish count goes down from 850 to 500? The percent decrease is approximately 40%.

The percent decrease is approximately 70%. The percent decrease is approximately 140%. The percent decrease is approximately 240%.
Mathematics
2 answers:
strojnjashka [21]3 years ago
8 0

Answer:

The percent decrease is approximatley 70%

Step-by-step explanation:

I got it right on edge

Please mark brainliest

Korolek [52]3 years ago
7 0

Answer:

<h2><em>The percent decrease is approximately 40%. </em></h2>

Step-by-step explanation:

Step one:

given data

initial count of fish= 850

final count of fish= 500

Required

% decrease

Step two:

% decrease= final-initial/initial*100

substitute

% decrease= 850-500/850*100

% decrease=350/850*100

% decrease= 0.41*100

% decrease= 40.1%

<em>The percent decrease is approximately 40%. </em>

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3 years ago
Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1
IceJOKER [234]

Solution to equationcosxtanx - 2 cos^2 x=-1 for all real values of x is  x=2k\pi + \frac{\pi}{6}  , x=2k\pi + \frac{5\pi}{6} .

<u>Step-by-step explanation:</u>

Here we have , cosxtanx - 2 cos^2 x=-1. Let's solve :

⇒  cosxtanx - 2 cos^2 x=-1

⇒  cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1

⇒  sinx = 2 cos^2 x-1

⇒  sinx = 2 (1-sin^2x)-1

⇒  sinx = 1-2sin^2x

⇒  2sin^2x+sinx-1=0

By quadratic formula :

⇒ sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}

⇒ sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}

⇒ sinx = \frac{-1 \pm3}{4}

⇒ sinx = \frac{1}{2} , sinx =-1

⇒ sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}

⇒ x=\frac{\pi}{6} , x=\frac{3\pi}{2}

But at x=\frac{3\pi}{2} we have equation undefined as cos\frac{3\pi}{2}=0 . Hence only solution is :

⇒ x=\frac{\pi}{6}

Since , sin(\pi -x)=sinx

⇒ x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}

Now , General Solution is given by :

⇒ x=2k\pi + \frac{\pi}{6}  , x=2k\pi + \frac{5\pi}{6}

Therefore , Solution to equationcosxtanx - 2 cos^2 x=-1 for all real values of x is  x=2k\pi + \frac{\pi}{6}  , x=2k\pi + \frac{5\pi}{6} .

3 0
3 years ago
.....................................
Nina [5.8K]

Answer:

This should help you with the question Click the link down below or copy and paste it

https://softmath.com/algebra-word-problems/marsha-is-changing-her-phone-service-one-data-package

Step-by-step explanation:

3 0
3 years ago
Which of the following equations has infinitely many solutions? A. 2x + 5(2x + 6) = 12x + 30 B. 2x + 5 = 2 C. 2(x + 5) + 2 = 6x
Nat2105 [25]

Answer:

A. 2x + 5(2x + 6) = 12x + 30

Step-by-step explanation:

Infinitely many solutions means the two sides of the equation will be equal to each other, so B and D can be eliminated. Distribute for A and C to check

A. 2x + 5(2x + 6) = 12x + 30

    2x + 10x + 30 = 12x + 30

    12x + 30 = 12x + 30

C. 2(x + 5) + 2 = 6x + 2(x + 2)

    2x + 10 + 2 = 6x +2x + 4

     2x + 12 = 8x + 4

You only get the same equation for A, therefore A is the correct answer

8 0
3 years ago
Rewrite using a single positive exponent
Lyrx [107]

the \: answer \: is \: equal \: to \:  {3}^{30}
8 0
3 years ago
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