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Rom4ik [11]
3 years ago
8

The population of bacteria in a Petri Dish is growing at a rate of 0.8t^3 + 3.5 thousand per hour. Find the total increase in ba

cteria during the first 2 hours.
Mathematics
1 answer:
aliina [53]3 years ago
3 0

Answer:

p=9900\\ bacterias in the initial two hours

Step-by-step explanation:

the growing rate is given by the ecuation

p(t)=0.8(t)^{3} +3.5 thousand per hour

for t=2 we have

p(2)=0.8(2)^{3} +3.5 = 9.9 thousand

p=9900\\ bacterias

In two hours we have 9900 bacterias

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Jasmine needs 300cm of fabric to make her new dress. The fabric costs $5 for each METER. How much will her fabric cost to make?​
drek231 [11]

Answer:

$15

Step-by-step explanation:

Step 1:

300cm = 3m

Step 2:

$5 per 1m

Step 3:

$5 × 3

Answer:

$15

Hope This Helps :)

7 0
3 years ago
Olivia bought a dress for $120. The tax rate is 9%. What is the total amount Olivia paid for the dress?​
elixir [45]
I think she will pay $130.80
7 0
3 years ago
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The probability of Sandy flipping a coin twice and getting heads both times is 0.250.250, point, 25. The probability of John's s
Shkiper50 [21]

Answer:

they are the same.

Step-by-step explanation:

Both have a 1/4 chance

5 0
3 years ago
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A parabola can be represented by the equation x2 = -20y.
aliya0001 [1]

Answer:

\mathrm{Parabola\:focus\:given}\:x^2=-20y:\quad \left(0,\:-5\right)

Step-by-step explanation:

Given the equation

x2 = -20y

A parabola is the locus of points such that the distance to a point the focus equals the distance to a line the directrix.

4p\left(y-k\right)=\left(x-h\right)^2 is the standard equation for an up-down facing parabola with vertex at (h, k), and a focal length |p|.

so

x^2=-20y

\mathrm{Switch\:sides}

-20y=x^2

\mathrm{Factor\:}4

4\cdot \frac{-20}{4}y=x^2

4\left(-5\right)y=x^2

\mathrm{Rewrite\:as}

4\left(-5\right)\left(y-0\right)=\left(x-0\right)^2

\left(h,\:k\right)=\left(0,\:0\right),\:p=-5

Parabola is symmetric around the y-axis and so the focus lies a distance\ p from the center (0, 0) along the y-axis.

\left(0,\:0+p\right)

=\left(0,\:0+\left(-5\right)\right)

\mathrm{Refine}

\left(0,\:-5\right)

Therefore,

\mathrm{Parabola\:focus\:given}\:x^2=-20y:\quad \left(0,\:-5\right)

Please check the attached figure too.

6 0
3 years ago
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An image point has coordinates B'(5, -6). Find the coordinates of its pre-image if the translation used was (x - 4, y + 5).
Shtirlitz [24]
Here, Translation factor: (x, y) → (x-4, y+5)

Coordinates of Image = B'(5, -6)

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In short, Your Answer would be: Option B) (9, -11)

Hope this helps!
4 0
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