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3 years ago

Bacterium that grows each hour exponentially and determine how much it grows per hour.

1 answer:

4 0

2^x is the function of the exponential growth.

Hence , 2^1, 2^2/hour = 4, 2^3 = 6/hr... 2^n=2^n at an amassing rate.

Bacteria is one great example to present the exponential growth. <span>Bacteria are single celled microorganisms. They have a simple cell structure than other organisms because they have no nucleus and no cell membrane. Their control center containing the genetic information si contained in a single loop of DNA. </span>

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Donata bought 4 lemons and 4 plums at the local supermarket for a total of $ 21.60. Dan bought 11 lemons and 6 plums at the same

VashaNatasha [74]

you must establish a equation system with the information given , 4x numbers of limon , where x represent the cost of every lemon and 4y numbers of plums , where y represents the cost of plums
now the equation system is 1) 4x+ 4y = 21,60 and 2) 11x+ 6y = 40.29
of the equation 1 you must obtain the value of x, 4x = 21.60+4y ⇒x=21.60/4+4y/4⇒x= 5.4+y
now with the value of x , it is substitute in the equation 2) 11(5.4+y) + 6y = 40.29 , ⇒ 59.4 + 11y + 6y = 40.29 ⇒ 17y = 40.29-59.4⇒ y = -19,11/7⇒ y = -2.73
the value of y is substitute in the equation 1) x = 5.4 + ( -2,73)⇒ x= 2,67, where ,the price of every lemon is $ 2,67

6 0

3 years ago

What is the value of n in the equation 1 (n – 4) – 3 = 3 - (2n+3)?

xxTIMURxx [149]

Answer:

n=7/3

Step-by-step explanation:

1 (n – 4) – 3 = 3 - (2n+3)

1. distribute the 1 on the left side and distribute the -1 on the right side

1n-4-3=3-2n-3

2. add like terms

1n-7=-2n

3. move n to one side and by itself

-7=-3n

4. divide -3 to get n alone. Both negatives cancel out each other

7/3=n

4 0

3 years ago

Read 2 more answers

Catarina is buying supplies for a party. She plans to spend at least $100 on food and at least $50 on party favors. She can spen

harkovskaia [24]

Answer:

food $\geq$ 100

favors $\geq$ 50

total $\leq$ 250

3 0

3 years ago

How would I find a? What formula would I use?

xenn [34]

Answer:

You can use either of the following to find "a":

Pythagorean theorem
Law of Cosines

Step-by-step explanation:

It looks like you have an isosceles trapezoid with one base 12.6 ft and a height of 15 ft.

I find it reasonably convenient to find the length of x using the sine of the 70° angle:

x = (15 ft)/sin(70°)

x ≈ 15.96 ft

That is not what you asked, but this value is sufficiently different from what is marked on your diagram, that I thought it might be helpful.

Consider the diagram below. The relation between DE and AE can be written as ...

DE/AE = tan(70°)

AE = DE/tan(70°) = DE·tan(20°)

AE = 15·tan(20°) ≈ 5.459554

Then the length EC is ...

EC = AC - AE

EC = 6.3 - DE·tan(20°) ≈ 0.840446

Now, we can find DC using the Pythagorean theorem:

DC² = DE² + EC²

DC = √(15² +0.840446²) ≈ 15.023527

a ≈ 15.02 ft

_____

You can also make use of the Law of Cosines and the lengths x=AD and AC to find "a". (Do not round intermediate values from calculations.)

DC² = AD² + AC² - 2·AD·AC·cos(A)

a² = x² +6.3² -2·6.3x·cos(70°) ≈ 225.70635

a = √225.70635 ≈ 15.0235 . . . feet

3 0

3 years ago

A loaf of bread costs $1.79. how much would five loaf costs?

saw5 [17]

8.95, that's not including the possible tax

3 0

3 years ago