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Vika [28.1K]
3 years ago
15

Hello again, need help on this question.

Mathematics
1 answer:
meriva3 years ago
3 0

Answer:

Step-by-step explanation:

2 18

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Solve the following:<br><br>a) 3x+4/2 = 9.5<br><br><br>b) 7+2x/3= 5​
kodGreya [7K]

Answer:

A) x=2.5

B) x=-3

Step-by-step explanation:

3 0
3 years ago
If 3,000 bacteria, with a growth constant (k) of 2.8 per hour, are present at the beginning of an experiment, in how many hours
Ivenika [448]

Given:

Initial number of bacteria = 3000

With a growth constant (k) of 2.8 per hour.

To find:

The number of hours it will take to be 15,000 bacteria.

Solution:

Let P(t) be the number of bacteria after t number of hours.

The exponential growth model (continuously) is:

P(t)=P_0e^{kt}

Where, P_0 is the initial value, k is the growth constant and t is the number of years.

Putting P(t)=15000,P_0=3000, k=2.8 in the above formula, we get

15000=3000e^{2.8t}

\dfrac{15000}{3000}=e^{2.8t}

5=e^{2.8t}

Taking ln on both sides, we get

\ln 5=\ln e^{2.8t}

1.609438=2.8t                  [\because \ln e^x=x]

\dfrac{1.609438}{2.8}=t

0.574799=t

t\approx 0.575

Therefore, the number of bacteria will be 15,000 after 0.575 hours.

4 0
3 years ago
The radius of cylindrical water tank is 4.5 ft, and its height 6 ft, What is the volume of the tank?
NeTakaya

Answer:

Volume=381.7 \,ft^3

Step-by-step explanation:

Use the formula for the volume of a cylinder:

Volume= B times height

Being "B" the area of the cylinder's base (a circle of radius 4.5 ft.

Therefore the area of the base is:

Area=\pi R^2 = \pi (4.5\,ft)^2=63.617\,ft^2

So the volume of the cylinder is:

Volume=B\,*\,h = 63.617\,* 6\,ft^3=381.7 \,ft^3

7 0
3 years ago
If a car travels at an average speed of x miles per hour, how far would the car travel in 90 minutes
Alex17521 [72]
90 minutes = 1.5 hour
car will travel 1.5x miles
6 0
3 years ago
Read 2 more answers
The radius of a circle is 4 kilometers. Use 3.14 for ​. What is the circle's circumference?
TEA [102]
C = πd
C = 3.14 x 9
C = 25.12
7 0
3 years ago
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