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3 years ago

What is the percentage decrease of 3 hours to 1/2 hoursIm new at this kind of math

Mathematics

1 answer:

lbvjy [14]3 years ago

4 0

Answer: 83.33%

( (3-0.5) / 3 ) * 100

(2.5 / 3) * 100

0.8333 * 100

83.33%

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125% of what number is 50? 125% of is 50. (Type a whole number.)

horsena [70]

Answer:

i thinkkk 40

if not my badd

4 0

3 years ago

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:

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:

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

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 27,569 bacteria

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

Acme Company has three identical manufacturing plants, one on the Texas Gulf Coast, one in southern Alabama, and one in Florida.

tino4ka555 [31]

Answer:

Somewhere from $50 million to $100 million

Step-by-step explanation:

Hurricanes usually hit the southernmost states of the USA and considering the fact that all three manufacturing plants are in the southernmost states, it would be reasonable to assume that a single hurricane can wipe out at least one or two since Alabama and Florida are really close to each other and Texas is known to get hurricanes. It usually just depends on where the hurricane occurs.

6 0

3 years ago

Factor. Explain. 24x³y²-4x²y+84x^4

Elan Coil [88]

Answer:

$\boxed{\bold{4x^2\left(6xy^2-y+21x^2\right)}}$