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Rina8888 [55]
3 years ago
9

In 2007 the population of the town of Cartersville was 24,455. The population growth can be represented by the formula P = 24,45

5(1.03)x, where x represents the number of years after 2007. When will the population of the town first exceed 30,000? A) 2011 B) 2012 C) 2013 D) 2014
Mathematics
1 answer:
Kamila [148]3 years ago
4 0
2014, you're welcome!
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If a person flips a coin and then rolls a six dash sided die​, describe the sample space of possible outcomes using Upper H comm
xenn [34]

Answer:

Sample Space (S) = { (1,H), (1,T), (2,H), (2,T), (3,H), (3,T), (4,H), (4,T), (5,H), (5,T), (6,H), (6,T) }  

Step-by-step explanation:

If a person flips a coin; the possible outcomes of flipping a coin are { Head (H), Tail (T) }

If a person rolls a six dash side die, the possible outcomes of rolling a dice are { 1, 2, 3, 4, 5, 6 }

Now, If a person flips a coin and then rolls a six dash side die;

The Sample Space (S) which is the set of all the possible outcomes of the activities carried out can be described as follows:

DIE                               COIN  →

↓                                      

                                        H                               T          

1                                      (1,H)                             (1,T)

2                                    (2,H)                             (2,T)

3                                    (3,H)                             (3,T)

4                                    (4,H)                             (4,T)

5                                    (5,H)                             (5,T)

6                                    (6,H)                             (6,T)

Sample Space (S) = { (1,H), (1,T), (2,H), (2,T), (3,H), (3,T), (4,H), (4,T), (5,H), (5,T), (6,H), (6,T) }  

3 0
3 years ago
One might be as small as 0.000000314 meter in length.how is this length expressed in scientific notation?
devlian [24]

Answer:

3.14 x 10^-7

Step-by-step explanation:

move the decimal behind the first significant figure and count the amount of spaces from there to the original decimal place

5 0
2 years ago
A scientific model doesn’t need to be something physical. It can also be a mathematical __________
MAVERICK [17]

Answer:

2+4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Write the inverse function for the function, ƒ(x) =1/2x + 4. Then, find the value of ƒ^ -1(4). Type your answers in the box.
Kipish [7]

Answer:

f⁻¹(x) = 2x - 8

f⁻¹(4) = 2 × 4 - 8

f⁻¹(4) = 0

Step-by-step explanation:

f(x) = \frac{1}{2} x + 4\\x = \frac{1}{2} f^{-1}(x) + 4\\x - 4 = \frac{1}{2} f^{-1}(x)\\2x - 8 = f^{-1}(x)\\f^{-1}(x) = 2x - 8

Let's test it

f^{-1}(f(x)) = 2(f(x)) - 8\\f^{-1}(f(x)) = 2( \frac{1}{2}x + 4) - 8\\f^{-1}(f(x)) = \frac{2}{2}x + 8 - 8\\f^{-1}(f(x)) = x

So we do indeed have the inverse function, so using that we can plug in the values requested:

f⁻¹(x) = 2x - 8

f⁻¹(4) = 2 × 4 - 8

f⁻¹(4) = 0

4 0
3 years ago
HELPP!!!! I'm stuck on this question
Nadya [2.5K]

Answer:

15/17

Step-by-step explanation:

SOH-CAH-TOA

Sine is the ratio of the length of the side opposite to the angle to the hypotenuse of the right triangle.

3 0
2 years ago
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