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11Alexandr11 [23.1K]
3 years ago
14

John conducted an experiment to test whether heat had an effect on a certain type of bacteria. He collected approximately 800 sp

ecimens of bacteria. After exposing them to 100º heat, John noticed that the bacteria colony was losing half of its population every hour. Complete the chart below to show how much bacteria was left each hour, then graph.
# of hours Process # of bacteria
0
1
2
3
4
5
Equation
Mathematics
1 answer:
prohojiy [21]3 years ago
6 0

Answer:

0 800

1 400

2 200

3 100

4 50

5 25

Equation

I am not all the way sure and don't want to Guide you in the wrong direction, so I am going to let someone else answer. The chart should be right though.

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If the discriminate is equal to -2, how many solutions are there
defon

Answer:

huh?

Step-by-step explanation:

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PLEASE HELP ME OUT WITH THIS, WILL MARK BRAINLIEST<br><br> 50PTS
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Answer:

E

Step-by-step explanation:

Let's say "s" represents the number of steps you still need to take to achieve your goal of at least 12,100 steps. You've already walked 5204 steps, and if we add this to s, we should get a total of <em>at least</em> 12,100 steps:

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The words "at least" means that we need to use ≥, so:

s + 5204 ≥ 12,100

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If we were to solve this inequality:

s + 5204 ≥ 12,100

s ≥ 6896

In other words, you still have to take at least 6896 more steps.

8 0
3 years ago
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A square pyramid has a base edge of 1 meter. the height of each triangular face is 1 meter. what is the pyramid's surface area?
Arada [10]
Area of sq.=1x1=1
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Area of pyramid =1+2=3
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3 years ago
Plz do 19-28 questions plz, and inlarge pic
wlad13 [49]
27 prime factors: 9*3   prime factors of 9: 3*3
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4 years ago
Consider points A(1, 6) and B(8, 8). Find point C on the x-axis so AC +BC is a minimum.
Kay [80]

Answer:

The coordinates of the point C that minimizes AC + BC are (-20, 0) or (4, 0)

Step-by-step explanation:

The given coordinates of the points A and B are A(1, 6) and B(8, 8)

The location of the point C = The x-axis

Therefore;

The coordinates of the point C = (x, 0)

The length of the segment AC = √((1 - x)² + (6 - 0)²) = √((1 - x)² + 6²)

The length of the segment BC = √((8 - x)² + (8 - 0)²) = √((8 - x)² + 8²)

At minimum distance of AC + BC, we have;

d(√((1 - x)² + 6²) +√((8 - x)² + 8²))/dx = 0 = (1 - x) × 2 × (0.5 - 1)× (√((1 - x)² + 6²)^(0.5 - 1) + (8 - x) × 2 × (0.5 - 1)× √((8 - x)² + 8²)^(0.5 - 1)

∴ d(√((1 - x)² + 6²) +√((8 - x)² + 8²))/dx = 0 = -(1 - x)/√((1 - x)² + 6²) - (8 - x)/√((8 - x)² + 8²)

-(1 - x)/√((1 - x)² + 6²) = (8 - x)/√((8 - x)² + 8²)

(8 - x)·√((1 - x)² + 6²) = -(1 - x)·√((8 - x)² + 8²)

Squaring both sides gives;

(8 - x)²·((1 - x)² + 6²) = (1 - x)²·((8 - x)² + 8²)

Expanding, using an online tool, we get;

x⁴ - 18·x³ + 133·x² -720·x + 2368 = x⁴ - 18·x³ + 161·x² - 272·x + 128

Which gives;

(161 - 133)·x² - (272 - 720)·x + 128 - 2368 = 28·x² + 448·x - 2240 = 0

Dividing by 28 gives;

x² + 16·x - 80 = 0

(x + 20)·(x - 4) = 0

Therefore, x = -20 or x = 4

The coordinates of the point C that minimizes AC + BC are (-20, 0) or (4, 0)

4 0
3 years ago
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