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tiny-mole [99]
2 years ago
15

Felix has a board 6 ft long. He needs to cut the board into 2 3 ft long pieces. A number line going from 0 to 6 in increments of

1. Between each number are 3 equal spaces. How many 2 3 ft pieces can Felix cut? One-ninth 4 8 9

Mathematics
2 answers:
Korolek [52]2 years ago
7 0

Answer:

  • 9

Step-by-step explanation:

  • Length of the board = 6 ft
  • Each piece = 2/3 ft

<u>Number of pieces:</u>

  • 6 ÷ 2/3 = 6 × 3/2 = 9 ft

Correct answer choice is the last one

Finger [1]2 years ago
4 0
9 because length of board each Pearce 2/3
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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
Which of the binomials below is a factor of this trinomial?<br> 4x2 + 21x + 5
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Answer:

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Step-by-step explanation:

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Answer

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Verizon [17]

Answer:

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Step-by-step explanation:

7 0
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Graph the line y=-1/6+1 , I need help tho :/​
Rashid [163]

Answer:

Step-by-step explanation:

6 0
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What is x^2 times 4x
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