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xenn [34]
3 years ago
10

There are 7 tigers at the zoo. Each year, the number of tigers increases by 10%. There are 15 eagles at the zoo. Each year, 2 ne

w eagles join the zoo.
Part A: Write functions to represent the number of tigers and eagles at the zoo throughout the years. (4 points)

Part B: How many tigers are at the zoo after 10 years? How many eagles are at the zoo after the same number of years? (2 points)

Part C: After approximately how many years is the number of tigers and eagles the same? Justify your answer mathematically. (4 points)
Mathematics
1 answer:
iren2701 [21]3 years ago
8 0
Part A: tigers- y= .10x + 7
eagles- y= 2x + 15

Part B: tigers - 17
eagles- 35

Part C: Not sure.
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What are the two ways you can find the distance between points (X1,Y1) and (x2,y2) in the coordinate
igomit [66]

The first (and most typical) way to find distance of two points is by using the distance formula.

distance=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2  }

One alternative is the Manhattan metric, also called the taxicab metric. This option is much more complicated, and rarely used in high school math. d(x,y)=∑i|xi-yi|

4 0
3 years ago
The test to detect the presence of respiratory syncytial virus is 97% accurate for a person who has the virus and 99% accurate f
Setler79 [48]

Answer:

The probability that a randomly selected person gets incorrect result is 2.2 × 10⁻⁴

Step-by-step explanation:

The parameters given are;

The accuracy of the test for a person who has the respiratory synctial virus = 97%

The accuracy of the test for a person who does not have the respiratory synctial virus = 99%

We have;

a = TP =

b = FP

c = FN

d = TN

a/(a + c) = 0.97

d/(d + b) = 0.99

a/(a + b) = 0.97*0.0055/(0.97*0.0055 + (1 - 0.99)*(1-0.0055))

PPV = 0.349 = 34.9%

Therefore, we have;

a/(a + c) = 0.97 and

a/(a + b)  =  0.349

0.97(a + c) =0.349(a + b)

(0.97 - 0.349)a = 0.349·b - 0.97·c

a = (0.349·b - 0.97·c)0.621

b × (1 - 0.0055) = (1 - 0.97)×(1 - 0.0055)

b = 1 - 0.97 = 0.03

Similarly,

c = 1 - 0.99 = 0.01

The proportion of the population that have false positive and false negative = 0.03 + 0.01 = 0.04 = 4%

The probability that a randomly selected person gets incorrect result = 0.04×0.0055 = 0.00022.

5 0
3 years ago
What is the range of this function?
nataly862011 [7]

Answer:

{-4,-1,1,4,7,8,15,18}

Step-by-step explanation:

The range of this function is a universal set that contains all elements of each set

And is;

{-4,-1,1,4,7,8,15,18}

3 0
3 years ago
Read 2 more answers
Marco is studying a type of mold that grows at a fast rate. He created the function f(x) = 345(1.30)x to model the number of mol
Ivahew [28]

1.30 represents the rate of growth of the mold spores. This decimal is a representation of the percentage growth, which would be 130%.


Since the function is written in terms of weeks, x will equal 4 to represent the amount of spores after 4 weeks. Plug the value into the function:


345(1.30)^4 = \boxed{985.35}


Rounded to the nearest ones value, there will be 985 mold spores after 4 weeks.

8 0
3 years ago
Read 2 more answers
For what interval is the value of (f – g)(x) negative?
mrs_skeptik [129]

<u>Complete question:</u>

Refer the attached diagram

<u>Answer:</u>

In reference to the attached figure, (-∞, 2) is the value where (f-g) (x) negative.

<u>Step-by-step explanation:</u>

From the attached figure, it shows that given data:

f (x) = x – 3

g (x) = - 0.5 x

To Find: At what interval the value of (f-g) (x) negative

So, first we need to calculate the (f-g) (x)

(f – g ) (x) = f (x) – g (x) = x-3 - (- 0.5 x)

⇒ (f - g) (x) =1.5 x - 3

Now we are supposed to find the interval for which (f-g) (x) is negative.

⇒ (f - g) (x) = x - 3+ 0.5 x = 1.5 x – 3 < 0

⇒ 1.5 x – 3 < 0

⇒ 1.5 x < 3

⇒ x

⇒ x < 2

Thus for (f - g) (x) negative x must be less than 2. Thereby, the interval is (-∞, 2). Function is negative when graph line lies below the x - axis.

7 0
3 years ago
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