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Step2247 [10]
3 years ago
10

Factor completely 3x²-48

Mathematics
1 answer:
svetlana [45]3 years ago
4 0
<span></span>Factor<span> using </span>difference<span> of </span>squares.
<span>3(x+4)(x−4)</span>
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The number of bacteria in a colony growing exponentially. At 4 pm yesterday the number of bacteria is 400.And at 6 pm yesterday
Doss [256]

Answer:

10800

Step-by-step explanation:

The number of bacteria in a colony growing exponentially. At 4 pm yesterday the number of bacteria is 400.And at 6 pm yesterday it was 3600. How many bacteria in the colony at 7 pm?

Step-by-step explanation:

B = B₀ Kⁿ

At 4 pm yesterday the number of bacteria is 400

B₀ = 400

n = number of hrs

at 6 pm yesterday it was 3600 => n =  6- 4 = 2 hrs

B₂ = 3600

=> 3600 = 400 * k²

=> k² =  9

=> k = 3

At 7 Pm Yesterday

n = 7-4 = 3

B₃ = 400 * 3³

=> B₃ = 27 * 400

=> B₃ = 10800

bacteria in the colony at 7 pm = 10800

or B₂ = 3600 & n = 7-6 = 1

Then B₃ = 3600 * 3¹ = 10800

And boom here

5 0
3 years ago
Read 2 more answers
Complete the following equivalent fractions. 18/54 = ?/3
solniwko [45]

Answer:

1

Step-by-step explanation:

do 18 times 3

then do 54 divided by 54

to find the following number

hope this helps

7 0
3 years ago
Arturo invests $2700 in a savings account that pay 9% interest, compounded quarterly. If there are no other transactions, when w
Sedbober [7]
The correct formula for this is as follows:
A=P(1+\frac{r}{n})^{nt}
where n is the number of compounding periods per year, and r is the annual interest rate as a decimal,
Plugging the given values into the formula, we get:
4550=2700(1+\frac{0.09}{4})^{4t}
This equation can be simplified to:
1.6852=(1.0225)^{4t}
Taking logs of both sides gives:
log 1.6852=4t\times log 1.0225
which can be rearranged to get:
t=\frac{log 1.6852}{4\times log 1.0225}=5.864
So it will take about 5.864 years for the amount to reach $4550.


5 0
3 years ago
There are 50 stars on each United States flag. Two flags have 100 stars. Three flags have 150 stars. The equation that describes
Stolb23 [73]

Answer:

50•x

Step-by-step explanation:

x=number of flags

50 times the number of United states flags

3 0
3 years ago
Read 2 more answers
What is 6b-27=3(5b-2)
irga5000 [103]

Hi,

Start with 6b-27=3(5b-2)

then add 27 to each side, 6b-27+27=15b-6+27

next simplify, 6b=15b+21

now subtract 15b from both sides, 6b-15b=15b+21-15b

simplify again, -9b=21

divide both sides by -9, -9b/-9 = 21/-9

answer: -7/3

Have a great day!

3 0
3 years ago
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