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Stella [2.4K]
3 years ago
12

A colony of bacteria is growing exponentially according to the function below, where t is in hours. About how many hours will it

take for the population to reach 400?
Mathematics
1 answer:
Ivenika [448]3 years ago
4 0
The function is:
B ( t ) = 4 * e^(0.8 t)
4 * e^(0.8 t) = 400
e^(0.8 t) = 400: 4
e^(0.8 t) = 100   / ln
ln e^(0.8 t) = ln 100  ( and since: ln e = 1 and ln e^x = x * ln e )
0.8 t = 4.6
t = 4.6 : 0.8 = 5.76 ≈ 6
Answer:
D ) 6 hours.
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Danielle and David each have a job. Danielle earns $15 an hour. She also receives a $50 weekly bonus. Danielle wrote an equation
S_A_V [24]
For starters, create an equation to show David's earnings. We can do this using Danielle's as a basis, which is set up as y=(# of hours)x+(bonus). This gives us y=12x+80. Now, as we need both their ys to be equal, we just set both equations equal to each other, making 15x+50=12x+80. Now, we solve for x, starting with 15x+50=12x+80, subtracting 12x from both sides to get 3x+50=80, subtracting 50 from both sides to get 3x=30, and dividing three from both sides to get x=10. To check, we just plug in our answer to both equations and see if the ys match up. With Danielle's equation, we get y=15(10)+50=150+50=200 and with David's equation, we get y=12(10)+80=120+80=200, proving that our answer is correct.
5 0
3 years ago
Read 2 more answers
Billy-Bob has a piggy-bank filled with nickels and quarters totaling $11.90.
Lunna [17]

Answer:

x = 33

y = 41

Step-by-step explanation:

GIven

x: number of nickels

y: number of quarters

A nickel = $0.05

A quarter = $0.25

then we have the system of equations

0.05*x + 0.25*y = 11.90

x + y = 74

Which can be solved applying any of known methods. Then, the solution is

x = 33

y = 41

hope this was helpful.

4 0
3 years ago
When do you get an answer to a system of linear equations that has one solution, no solution and infinitely many solutions?
meriva

Answer:

Step-by-step explanation:

One solution:  when two lines intersect in exactly one point.

Infinitely many solutions:  When one of two lines can be shown algebraically to be exactly the same as the other.  The two lines coincide.

No solution:  The two lines have the same slope but different y -intercepts.  They can't and don't intersect.

6 0
3 years ago
QUESTION IS DOW BELOW 30 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
ivann1987 [24]

The required solution is ∠RQT =  202°  and ∠QTS = 51°

<h3 />

<h3>What is a cyclic quadrilateral?</h3>

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also called as inscribed quadrilateral.

Its main property is that the sum of opposite angles of inscribed quadrilateral is always 180 degrees.

Now, the given circle has a cyclic quadrilateral QRST in which it is given that  ∠RQT =  202° and ∠QRS = 129°

Since,sum of the opposite angles of a cyclic quadrilateral =  180°  

⇒∠QTS + ∠QRS = 180°

⇒ ∠QTS  + ∠129° = 180°

⇒ ∠QTS = 180° - ∠129°

⇒ ∠QTS = 51°

Hence,the requires angles are ∠RQT =  202° and ∠QTS = 51°.

More about cyclic quadrilateral :

brainly.com/question/14323008

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2 years ago
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mr_godi [17]
-50x :)
characters bc it has to be 20
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2 years ago
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