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kondaur [170]
2 years ago
13

A certain fungus grows in a circular shape. Its diameter in inches after t weeks is given below 6 -(50/t^2+ 10). What is the squ

are inches at the end of 5 weeks?
Mathematics
1 answer:
Yuri [45]2 years ago
5 0
The answer is 5.2π in² = 16.3 in²

The area (A) of the circle with radius r is: A = r²π
It is known:
π = 3.14
d=6- \frac{50}{t^{2}+10 }
r = \frac{d}{2}= \frac{6- \frac{50}{t^{2}+10 }}{2}
t = 5
⇒ r = \frac{6- \frac{50}{t^{2}+10 }}{2} = \frac{6- \frac{50}{5^{2}+10 }}{2} =\frac{6- \frac{50}{25+10 }}{2} =\frac{6- \frac{50}{35}}{2}= \frac{ \frac{6}{1}- \frac{10}{7}}{2}=\frac{ \frac{6*7}{1*7}- \frac{10}{7}}{2}=\frac{ \frac{42}{7}- \frac{10}{7}}{2} =\frac{ \frac{42-10}{7}}{2}=\frac{ \frac{32}{7}}{ \frac{2}{1} }= \frac{32}{7}* \frac{1}{2} = \frac{16}{7}

A = r²π = (16/7)²π = (2.28)²π = 5.2π = 5.2 · 3.14 = 16.3 in²
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The probability of event a is x, and the probability of event b is y. if the two events are independent, which condition must be
nalin [4]

Condition (A) P(B/A) = y is true.

<h3>What is probability?</h3>
  • Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.

To find the true condition:


If two events are independent, then:

  • Pr(A∩B) = Pr(A) . Pr(B)

Use formulas for conditional probabilities:

  • Pr(A/B) = Pr(A∩B) / Pr(B)
  • Pr(B/A) = Pr(B∩A) / Pr(A)

For independent events these formulas will be:

  • Pr(A/B) = Pr(A∩B) / Pr(B) = Pr(A) . Pr(B) / Pr(B) = Pr(A)
  • Pr(B/A) = Pr(B∩A) / Pr(A) = Pr(B) . Pr(A) / Pr(A) = Pr(B)

Now in your case, Pr(A) = x and Pr(B) = y.

  • Pr(A/B) = x, Pr(B/A) = y, Pr(A∩B) = x.y

Therefore, condition (A) P(B/A) = y is true.

Know more about probability here:

brainly.com/question/25870256

#SPJ4

The complete question is given below:

The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?

a. P(B|A) = y

b. P(A|B) = y

c. P(B|A) = x

d. P(A and B) = x + y

e. P(A and B) = x/y

5 0
1 year ago
Need help tremendously
Alina [70]
<span>basically since 30 minutes is half of an hour, to get to a full hour you can multiply by 2, so you do that for both, 2/3 included so you get 2/3 * 2/1 4/3 is 1 1/3</span>
5 0
3 years ago
Show that: (3x-1)(x+5)(4x-3) = 12x^3 + 47x^2 - 62x +15 for all values of x. (3x-1)(x+5)(4x-3) = (?????)(4x-3) Expand into 6 term
lara31 [8.8K]
<span>(3x - 1)( x + 5)(4x - 3) = 12x^3 + 47x^2 - 62x +15 </span>
<span>(3x^2 – x + 15x - 5)( 4x – 3 ) = <span>12x^3 + 47x^2 - 62x +15 </span></span>
<span>(3x^2 + 14x - 5)( 4x – 3 ) = <span>12x^3 + 47x^2 - 62x +15 </span></span>
<span>12x^3 – 9x^2 + 56x^2 – 42x – 20x + 15 = <span>12x^3 + 47x^2 - 62x +15 </span></span>
<span>12x^3 – 47x^2 - 62x + 15 = <span>12x^3 + 47x^2 - 62x +15 </span></span>

<span> </span>

8 0
3 years ago
Read 2 more answers
Determine the first five iterates of f(x) = 1.5x(1 _ x) for x0 = 0.8. (1 point)
Luden [163]
<span>f(x) = 1.5 x (1 - x)
f(0.8) = 1.5(0.8)(1 - 0.8) = 0.24
f(0.24) = 1.5(0.24)(1 - 0.24) ~= 0.274
f(0.274) = 1.5(0.274)(1 - 0.274) ~= 0.298
f(0.298) = 1.5(0.298)(1 - 0.298) ~= 0.314
f(0.314) = 1.5(0.314)(1 - 0.314) ~= 0.323

</span>So the answer is D : 0.24, 0.274, 0.298, 0.314, 0.323
8 0
2 years ago
Hi please help thank you
jonny [76]
20
This is because
2x+(6x+20)=180
8x+20=180
8x=160
8x/8=160/8
X=20

7 0
2 years ago
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