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butalik [34]
3 years ago
5

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

Mathematics
1 answer:
iVinArrow [24]3 years ago
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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Find the volume of the figure below. Leave your answer in terms of  π. ​
IgorC [24]

Answer: 1539π cubic inches.

Step-by-step explanation:

In the figure, we have a hemisphere joined with a cylinder of the same diameter 18 inches.

Radius = 9 inches   (half of diamter)

Volume of hemisphere = \dfrac23 \pi r^3

Volume of cylinder = \pi r^2 h, where r= radius h= height

Volume of hemisphere= \dfrac{2}{3}\pi (9)^3=486\pi in.^3

Volume of cylinder = \pi (9)^2 (13)=1053\pi\ in.^3

Combined volume = 486π+1053π=1539π cubic inches.

Hence, the volume of the solid = 1539π cubic inches.

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3 years ago
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Find an identity for cos(4t) in terms of cos(t)?
charle [14.2K]
The question in the problem wants to calculate the identity for  cos(4t) in terms of cos(t) and base on the given and further computation, I would say that the answer would be 2cos^2(2t)-1. I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification
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Find the area A of triangle JKL with the vertices J(5,8), K(0,7), and L(5,4)
eimsori [14]

Answer:

Area of the triangle is 10 square units

Step-by-step explanation:

Recall that the formula for the area of a triangle is: "base x height / 2", and  in this case, we can consider the triangle's base as the segment that joins the vertices (5, 4) and (5, 8) which gives a segment length of 4 units. The height of the triangle is then the distance between the third vertex (0,7) and the base, which is exactly 5 units. Then the area becomes:

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5 0
3 years ago
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