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2 years ago

Whoever explains and puts the right answer will get Brainlisted

Mathematics

1 answer:

alexgriva [62]2 years ago

5 0

Answer:

Step-by-step explanation:

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What is the true solution to l n 20 + l n 5 = 2 l n x x = 5 x = 10 x = 50 x = 100

Pani-rosa [81]

Answer:

x = 10

Step-by-step explanation:

l n 20 + l n 5 = 2 l n x

ln (20×5) = ln x²

ln(100) = lnx²

100 = x²

x = +/- 10

Since logs of negative numebrs don't exist, we reject -10

3 0

3 years ago

Read 2 more answers

Simplify this expression. 12x2(3x4 − 2x)

musickatia [10]

Answer:

$36*x^6-24*x^3$

Step-by-step explanation:

We can simplify the expressio using the product rule. The exponents will add up when multiplied with each other:

$=12*x^2*(3*x^4-2*x)$

$=12*3*x^(2+4)-12*2*x^(2+1)$

$=36*x^(6)-24*x^(3)$

The answer is B

$36*x^6-24*x^3$

6 0

3 years ago

A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
$f(x)_{max}=f(x_{max})$

Since our function is A(L)=640L-2L², we get

a=-2
b=640

plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are L=160m and W=76800/160=480m

and we're done!

3 0

2 years ago

Help plz im sorry if im asking to many questions

Zinaida [17]

Answer:

The 3rd one 50 - 12p = 26

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Please need help asap!!

vagabundo [1.1K]

$a+b+c=180, \text{ }c+e=180 \implies \\ a+b+c=c+e \implies \\ a+b=e\\$

This result is actually true for any exterior angle. The exterior angle of a triangle is equal to the sum of the two remote angles, and above is a short proof of it.

6 0

3 years ago