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Vlad1618 [11]
3 years ago
9

To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let

t be the number of hours since the start of the study. Let y be the number of bacteria cells. Write an exponential function showing the relationship between y and t.​
Mathematics
1 answer:
Rudiy273 years ago
7 0
The function that models exponential growth is:

P(t) = P0*(1 + r)^t, where

P0 = P(0) is the initial value of P

r is the growth rate as a decimal

In our case we have:

P(0) = 2800

r = 0.035 or 3.5%

P(t) = 2800*(1 + 0.035)^t

P(t) = 2800*(1.035)^t

The same exponential function written using y and t is:

y = 2800*1.035^t.

Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria
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А
Ganezh [65]

Answer:

168 meters squared

Step-by-step explanation:

So we know that Jake walked from b to c and d meaning he didn't go from a to b, but we also know that scarlet walked a to b so to find the length we can subtract scarlet's walk by jake's walk or 38-31 which is 7.

So we know the length of one side is 7 so this means we have side a to b and c to d, but we still need to know b to c. So what we can do is get the length of a b c and d and isolate it so that we only have b to c. To do this we get the length of 7 and double it which is 14 and take it away from the 38m

38-14=24

so now we know that the side is 24 and we can solve for the area

24*7=168

so the answer is 168 meters squared

6 0
3 years ago
Solve the following equation for 0°≤x≤360° : 2 cot 2x + 3 = 0
evablogger [386]

Answer:

π

2

,

3

⋅

π

2

,

3

⋅

π

4

,

7

⋅

π

4

Explanation:

Factorizing your equation we get

cot

(

x

)

=

0

so

cos

(

x

)

=

0

we get the following Solutions in the given interval

x

=

π

72

or

x

=

3

π

2

for the second case we get

cot

(

x

)

=

−

1

so

cos

(

x

)

=

−

sin

(

x

)

and we get

x

=

3

π

4

or

x

=

7

π

4

Hint:

To get the Solutions of the last equation you can use

√

sin

(

x

+

π

4

)

=

0

Step-by-step explanation:

3 0
2 years ago
Need help ASAP Thankyou
sineoko [7]

Answer:

Volume of the tank = 636 ft³

Step-by-step explanation:

Formula for the volume of a cylinder is,

V = πr²h

Where r = radius of the cylinder

h = height of the cylinder

By substituting the values of radius and height of the water tank given in the question,

V = \pi (4.5)^{2}(10)

   = 202.5π

   = 202.5 × (3.14)

   = 635.85 ft³

   ≈ 636 ft³

Therefore, volume of the cylindrical water tank is 636 ft³.

4 0
3 years ago
Evaluate -1(5)(2)(-4)
wariber [46]

Answer:

40

Step-by-step explanation:

-1 × 5 = -5

-5 × 2 = -10

-10 × -4 = 40

6 0
3 years ago
If f(x) = - 4x + 8, what is the value of f(-4)
kompoz [17]

Answer:

Hi there!

Your answer is:

f(-4) = 24

Step-by-step explanation:

F(-4) means to plug in -4 for x!

-4(-4) +8

16+8= 24

f(-4) = 24

I hope this helps!

5 0
3 years ago
Read 2 more answers
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