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zysi [14]
3 years ago
5

Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only one

bacteria which can double every hour, how many bacteria will we have in 15 hours?
Mathematics
1 answer:
Svet_ta [14]3 years ago
5 0
The answer is 16,384 bacteria is 15 hours 
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2.25/12.50 = 0.18. then turn 0.18 into a percentage by doing 0.18 x 100 = 18%. Therefore, he gave an 18% tip.
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Nathan is going to invest in an account paying an interest rate of 4.8% compounded continuously. How much would Nathan need to i
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How many solutions does the equation have?
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Since it is a linear equation, it has one solution.

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A man hits a baseball when it is 4 ft above the ground with an initial velocity of 120 ft/sec. The ball leaves the bat at a 30 d
Sauron [17]
<span>et us assume that the origin is the floor right below the 30 ft. fence

To work this one out, we'll start with acceleration and integrate our way up to position.

At the time that the player hits the ball, the only force in action is gravity where: a = g (vector)
ax = 0
ay = -g (let's assume that g = 32.8 ft/s^2. If you use a different value for gravity, change the numbers.

To get the velocity of the ball, we integrate the acceleration
vx = v0x = v0cos30 = 103.92
vy = -gt + v0y = -32.8t + v0sin40 = -32.8t + 60

To get the positioning, we integrate the speed.
x = v0cos30t + x0 = 103.92t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + 60t + 4

If the ball clears the fence, it means x = 0, y > 30

x = 0 -> 103.92 t - 350 = 0 -> t = 3.36 seconds

for t = 3.36s,
y = -16.4(3.36)^2 + 60*(3.36) + 4
= 20.45 ft

which is less than 30ft, so it means that the ball will NOT clear the fence.


Just for fun, let's check what the speed should have been :)

x = v0cos30t + x0 = v0cos30t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + v0sin30t + 4

x = 0 -> v0t = 350/cos30
y = 30 ->
-16.4t^2 + v0t(sin30) + 4 = 30
-16.4t^2 + 350sin30/cos30 = 26
t^2 = (26 - 350tan30)/-16.4
t = 3.2s

v0t = 350/cos30 -> v0 = 350/tcos30 = 123.34 ft/s

So he needed to hit the ball at at least 123.34 ft/s to clear the fence.

You're welcome, Thanks please :)
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3 years ago
Giving brainliest, 50 points (answer both questions with solutions)
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Answer:

your answer in ☝️ this photo

plz Mark my answer in brainlist

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