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lidiya [134]
3 years ago
12

Trigonometric ratios, Side length. 15 points AND brainliest.

Mathematics
1 answer:
Oduvanchick [21]3 years ago
8 0

Answer:

Side GI= 2

Step-by-step explanation:

Photo attached, used SOH CAH TOA method.

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A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.
Vlada [557]

Answer:

a)  y=12000(2)^{\frac{t}{50}}

b)  Approx. 27,569 bacteria

c)  About 103 minutes

Step-by-step explanation:

a)

This will follow exponential modelling with form of equation shown below:

y=Ab^{\frac{t}{n}}

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}

b)

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76

The number of bacteria after 1 hour would approximate be <u>27,569 bacteria</u>

<u></u>

c)

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103

After about 103 minutes, there will be 50,000 bacteria

4 0
3 years ago
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x). f(x) = 6 cos
meriva

Answer:

  Vertical stretch by a factor of 6

Step-by-step explanation:

Multiplying the function value by a constant moves its y-coordinate farther away from the x-axis by that factor. It causes a vertical stretch. Here, ...

  the vertical stretch factor is 6

7 0
2 years ago
The volume inside of a sphere is V=4πr33 where r is the radius of the sphere. Your group has been asked to rearrange the formula
Slav-nsk [51]

Answer:

Step-by-step explanation:5

8 0
2 years ago
The Andersons rented 5 rectangular tables for $35 and 30 chairs for $60. Which quotients can be used to calculate the unit cost
stira [4]

Answer:

Step-by-step explanation:

5 tables for 35 bucks.....unit cost is 35/5 = $ 7 bucks per table

30 chairs for 60 bucks...unit cost is 60/30 = $ 2 bucks per chair

5 0
3 years ago
Read 2 more answers
Solve for v <br>160=11-v
user100 [1]
V + 160 = 11
v = -149

Hope this helps
6 0
3 years ago
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