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boyakko [2]
3 years ago
11

A culture started with 2,000 bacteria. After 7 hours, it grew to 2,600 bacteria. Predict how many bacteria will be present after

15 hours. Round your answer to the nearest whole number
Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Answer: Look at explanation for answer...

Step-by-step explanation:

This could be turned into a simple proportion if you want to do it that way :)

1.) First, use the proportion bacteria over time.

2.) It should set up to look like this:  2,600        X

                                                           ---------- = ---------

                                                               7             15

3.) You then do your math (2,600 * 15) (39,000 / 7)

Answer: Your answer then comes out to be: (rounded) 5,571 bacteria

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Rewrite the rectangular equation x^2+y^2-8y=0 as a polar equation
mojhsa [17]

Answer:

We'll use the following identities:

r = √(x2 + y2), from which we also have r2 = x2 + y2

y = r*sinθ

First, let's re-write your equation:

r = 8*sin(θ).  Multiply both sides by r:

r2 = 8r sin(θ)

Now, we'll use substitute using the identities:

x2 + y2 = 8y

Re-arrange and complete the square:

x2 + y2 - 8y = 0

x2 + (y-4)2 - 16 = 0

x2 + (y-4)2 = 16

This represents a circle with center (0,4), and radius 4.

Step-by-step explanation:

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5 0
3 years ago
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Dafna11 [192]

Answer:

D. -7

Step-by-step explanation:

Sum of three times the square of a number and -7.

<u>If we call the number x, then the expression is:</u>

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5 0
3 years ago
A length of a rope is is stretched between the top edge of a building and a stake in the ground. The head of the steak is at gro
Kay [80]

Answer:

Height of building is 76 feets

Step-by-step explanation:

The scenario is illustrated in the attached photo. The stretched rope is seen coming from the top of the building, passing through the top of the tree which is halfway the height of the building and touching the state which is on the ground.

The distance, x of the tree to the building on the ground is equal to the distance, x of the tree from the stake, hence,

Distance of the stake from the building is 2x

Height of the tree = 38 feets

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The triangles formed are similar triangles. Therefore,

38/x = y/2x

Cross multiplying

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xy = 76x

y = 76x/x = 76 feets

5 0
3 years ago
Triangle XYZ is located in the first quadrant of the coordinate plane. If this triangle is
goblinko [34]

Answer:

the answer is C. they are both positive.

Step-by-step explanation:

This is because over the y axis is the first quadrant which is always positive.

4 0
3 years ago
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melomori [17]

Answer:

B: yes they are A:i do not know

Step-by-step explanation:

8 0
3 years ago
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