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jasenka [17]
3 years ago
11

A scientist began a study with a sample of 450 bacteria. He noticed that the number of bacteria in the sample after t days can b

e modeled by the equation P = 450(4)t. In this equation, what does 4t represent?
A.
The number of bacteria increases by 4 bacteria each day.

B.
The number of bacteria increases by a factor of 4 each day.

C.
The number of bacteria decreases by 4 bacteria each day.

D.
The number of bacteria increases by t bacteria after 4 days.
Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Answer:

B

Step-by-step explanation:

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Answer:

x=-3

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3 years ago
Find m angle d for m angle b = 65<br> The figure is not drawn to scale
Aleksandr [31]

Answer:

Denote O as center of circle, draw OA, OC.

As property of tangent line from outside of circle (angle OAD = angle OCD = 90 deg):

=> AOC + D = 180

Moreover, angle  AOC = 2 x angle B = 2 x 65 = 130

=> D = 180 - 130 = 50 deg

Hope this helps!

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Gerardo works at an ice cream shop each flavor of ice cream is stored in a right cylindrical tub that measures approximately 9 i
Leokris [45]

Answer:

Volume left = 404.32 cubic inches

Step-by-step explanation:

volume of a cylinder = \pir^{2}h

volume of ice cream in the cylindrical tub = \frac{22}{7} x 5^{2} x 9

                                           = \frac{22}{7} x 25 x 9

                                           = 707.1429

Volume of ice cream in the cylindrical tub is 707.14 cubic inches.

The ice cream scoop has a spherical volume, so that;

volume of a sphere = \frac{4}{3}\pir^{3}

r = \frac{2.5}{2}

 = \frac{5}{4} inches

volume of the scoop = \frac{4}{3} x \frac{22}{7} x (\frac{5}{4} )^{3}

                                  = \frac{4}{3} x \frac{22}{7} x \frac{125}{64}

                                  = 8.1845

volume of the scoop is 8.19 cubic inches.

If he scoops 37 scoops,

volume of the 37 scoops = 37 x 8.1845

                                          = 302.8265

volume of 37 scoops is 302.83 cubic inches.

Volume of ice cream left in the tub = 707.1429 - 302.8265

                                                           = 404.3164

Volume of ice cream left in the tub is 404.32 cubic inches.

7 0
3 years ago
The volume of a cylinder is 2,200π cubic inches. The diameter of the circular base is 10 inches. what is the height of the cylin
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If the diameter of the cylinder's base is 10, then the radius is half that, or 5.

\bf \textit{volume of a cylinder}\\\\&#10;V=\pi r^2 h\qquad &#10;\begin{cases}&#10;r=radius\\&#10;h=height\\&#10;------\\&#10;r=5\\&#10;V=2200\pi &#10;\end{cases}\implies 2200\pi =\pi (5)^2h&#10;\\\\\\&#10;\cfrac{2200\pi }{\pi (5)^2}=h\implies \cfrac{2200}{25}=h\implies  88=h
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3 years ago
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