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valentinak56 [21]
3 years ago
12

Factor Completely: 4x²+8x

Mathematics
2 answers:
Sidana [21]3 years ago
8 0
The answer is 4x(x+2).
Nitella [24]3 years ago
6 0

I got

4x^2+8x=

x^2=x*x=

4*x*x+8x=

4xx+4*2x=

4x(x+2)

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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
In the diagram, AC=BD. Show that AB=CD
Debora [2.8K]
I believe you just have to draw 2 little lines in between AB and CD.
8 0
3 years ago
A woman put $580 into a saving account for one year. The rate of interest on the account was 6.5%. How much was the interest for
svetlana [45]
<span>interest = $580 x 0.065 = $37.70

answer
interest for the year is </span>$37.70
8 0
2 years ago
Cameron needs to order some new supplies for the restaurant where he works. The
zvonat [6]

Answer:

598=194+8x

Step-by-step explanation:

To solve you would subtract 194 from its self and 598

598=194+8x

-194  -194

404=8x

then you would divide 8 from it's self and 404

which would make it 50.5

(but you cant buy half a package of spoons so realistically it'd be 50 or 51.

hope this helped :)

6 0
2 years ago
Read 2 more answers
37.06 - (-26) +34.67
maxonik [38]

Answer:

97.73

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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