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krek1111 [17]
3 years ago
10

A bacteria population doubles every 4 hours. There are currently 2,000 bacteria in a restricted area. If t represents the time,

in hours, and P(t) is the population of bacteria with respect to time, about how many bacteria will there be in 30 minutes?
Mathematics
1 answer:
Juliette [100K]3 years ago
8 0

The bacteria population doubles in 4 hours.

So, in 1 hour it increases by x/4 of its population, where x is population.

So in 1/2 hours or 30 minutes, the increase will be x/4 × 1/2 = x/8

=> if we start with 4000 bacterias, population increase after 30 minutes is 4000× 1/8 = 500

So, 500 more bacterias were added

Total bacterias = 4000+500 = 4500 bacterias

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barxatty [35]

Answer:

12.33

Step-by-step explanation:

6x - 2 + 9x - 3 = 180° (linear pair)

6x + 9x - 2 - 3 = 180°

15x - 5 = 180°

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15x = 185

x = 185/15

x = 12.33

hope this helps you!

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2 years ago
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OLEGan [10]

Step-by-step explanation:

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3 years ago
Pleaseeee help me. I'm stuck on a math question.
lozanna [386]

The slope of the function for pronghorn antelope is 60.78 which infers that the rate of speed of the pronghorn is 60.78 miles per hour.

7) The given function that represents the speed of the pronghorn is

y = 60.78x - 5.4

Comparing this function with the general equation of a straight line

y = mx + c we can conclude that the slope of the function is 60.78 .

So the Pronghorn's rate of speed is 60.78 miles per hour.

8) Now the speed of the cheetah is given in the form of a table.

Let us take any two points on the graph

(0.5,21.85) and (2,118.60)

Slope of the line passing through these two points

= (118.6-21.85)/(2-0.5)

=64.5

So the slope of the graph is 64.5 and the average rate of speed of the Cheetah is 64.5 miles per hour.

9) From the above two slopes and the rate of speed we can conclude that the speed of the cheetah is 64.5 mph which is greater than that of the pronghorn 's speed of 60.78 miles per hour.

To learn more about slope visit:

brainly.com/question/13281781

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6 0
1 year ago
Using a directrix of y = −2 and a focus of (1, 6), what quadratic function is created? Question 3 options:
deff fn [24]

If your directrix is a "y=" line, that means that the parabola opens either upwards or downwards (as opposed to the left or the right). Because it is in the character of a parabola to "hug" the focus, our parabola opens upwards. The vertex of a parabola sits exactly halfway between the directrix and the focus. Since our directrix is at y = -2 and the focus is at (1, 6) AND the parabola opens upward, the vertex is going to sit on the main transversal, which is also the "line" the focus sits on. The focus is on the line x = 1, so the vertex will also have that x coordinate. Halfway between the y points of the directrix and the focus, -2 and 6, respectively, is the y value of 2. So the vertex sits at (1, 2). The formula for this type of parabola is (x-h)^2=4p(y-k) where h and k are the coordinates of the vertex and p is the DISTANCE that the focus is from the vertex. Our focus is 4 units from the vertex, so p = 4. Filling in our h, k, and p: (x-1)^2=4(4)(y-2). Simplifying a bit gives us (x-1)^2=16(y-2). We can begin to isolate the y by dividing both sides by 16 to get \frac{1}{16}(x-1)^2=y-2. Then we can add 2 to both sides to get the final equation f(x)=\frac{1}{16}(x-1)^2+2, choice 4 from above.

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3 years ago
Jodi traded $3400 for Chinese yuan, immediately changed her mind, and then
viktelen [127]

Answer: C hope this helps :)!

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