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Aliun [14]
3 years ago
10

Question:

Mathematics
1 answer:
Tamiku [17]3 years ago
8 0

Answer:

<h2>      x₁ = - 2 + √2 ,   x₂ = - 2 - √2</h2>

Step-by-step explanation:

3x^2 + 12x + 6 = 0\\\\a=3\,,\ b=12\,,\ c=6\\\\\\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\ x=\dfrac{-12\pm\sqrt{12^2-4\cdot3\cdot6}}{2\cdot3}=\dfrac{-12\pm\sqrt{144-72}}{2\cdot3}=\dfrac{-12\pm\sqrt{72}}{2\cdot3}=\dfrac{-12\pm6\sqrt{2}}{6}\\\\x_1=\dfrac{6(-2+\sqrt{2})}{6}=-2+\sqrt2\\\\x_2=\dfrac{6(-2-\sqrt{2})}{6}=-2-\sqrt2

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the height of an object varies directly with the length of its shadow. a person 6ft tall casts a 8.5ft shadow, while a tree cast
mixer [17]

Answer:

The answer to your question is   Tree's height = 26.8 ft  

Step-by-step explanation:

Data

Person                         Tree

height = 6 ft                 height = x

shadow = 8.5 ft            shadow = 38 ft

Process

1.- Use the Thales' theorem to solve this problem

   Person's height/ Person's shadow = Tree´s height / Tree's shadow

Solve for Tree's height

   Tree's height = Person's height x Tree's shadow / Person's shadow

Substitution

   Tree's height = 6 x 38 / 8.5

Simplification

   Tree's height = 228 / 8.5

Result

    Tree's height = 26.8 ft  

5 0
3 years ago
Plzzzzzzz help 20 points
SOVA2 [1]

Answer:

8.15

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
It's a math problem subtracting unlikely fractions 14 / 2 - 9 / 8
gavmur [86]

5 and 7/8 0r 47/8 :)

4 0
3 years ago
Read 2 more answers
Write 0.132 as a number
Luden [163]
0.132 written in lowercase:

one hundred thirty-two thousandths


zero point one hundred thirty-two

or, even simpler:

zero point one three two

4 0
3 years ago
Read 2 more answers
A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.
Vlada [557]

Answer:

a)  y=12000(2)^{\frac{t}{50}}

b)  Approx. 27,569 bacteria

c)  About 103 minutes

Step-by-step explanation:

a)

This will follow exponential modelling with form of equation shown below:

y=Ab^{\frac{t}{n}}

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}

b)

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76

The number of bacteria after 1 hour would approximate be <u>27,569 bacteria</u>

<u></u>

c)

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103

After about 103 minutes, there will be 50,000 bacteria

4 0
3 years ago
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