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pantera1 [17]
3 years ago
9

From 1990 to 2000, the number of visits by the people to Bryce Canyon National Park increased by about 23.9 thousand visits per

year. In 2000, there were about 1102.4 thousand visits to the park.

Mathematics
1 answer:
Gnoma [55]3 years ago
3 0

Answer:

Write an equation that gives the number of visits (in thousands) as a function of the number of years since 1990

Step-by-step explanation:

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Use the distance formula to calculate the length of the leg CD
Karo-lina-s [1.5K]

To calculate the distance between two points on the coordinate system you have to use the following formula:

d=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}

Where

d represents the distance between both points.

(x₁,y₁) are the coordinates of one of the points.

(x₂,y₂) are the coordinates of the second point.

To determine the length of CD, the first step is to determine the coordinates of both endpoints from the graph

C(2,-1)

D(-1,-2)

Replace the coordinates on the formula using C(2,-1) as (x₁,y₁) and D(-1,-2) as (x₂,y₂)

\begin{gathered} d_{CD}=\sqrt[]{(2-(-1))^2+((-1)-(-2))}^2 \\ d_{CD}=\sqrt[]{(2+1)^2+(-1+2)^2} \\ d_{CD}=\sqrt[]{3^2+1^2} \\ d_{CD}=\sqrt[]{9+1} \\ d_{CD}=\sqrt[]{10} \end{gathered}

The length of CD is √10 units ≈ 3.16 units

6 0
10 months ago
Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel.
DochEvi [55]
X is Kevin; Y is Dan

X = 3Y

X - 4 = 5(Y - 4)


3Y - 4 = 5(Y - 4)   
3Y - 4 = 5Y - 20
     + 4         +4
4 cancels each other out.
     3Y = 5Y - 16
     - 5   -5
5 cancels each other out.
    -2Y = -16  
    /2       /2     
       Y = 8 

X = 3Y;    
X = 3 x 8;

Thus,
X = 24;
Kevin(x) is 24

8 0
3 years ago
Suppose a bag contains 7 blue chips ad 3 gold chips.What is the probability of randomly choosing a gold chip,not replacing it,an
castortr0y [4]

|\Omega|=10\cdot9=90\\ |A|=3\cdot2=6\\\\ P(A)=\dfrac{6}{90}=\dfrac{1}{15}\approx7\%

6 0
2 years ago
HELP PLS ASAP!!!! PLS
Reptile [31]

Answer:

x=3

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Find the average rate of change for f(x) = x2 − 3x − 10 from x = −5 to x = 10.
kvasek [131]

Answer:

Average rate of change = 2

Step-by-step explanation:

Find the average rate of change for f(x) = x^2 − 3x − 10 from x = −5 to x = 10.


f(-5) = (-5)^2 − 3(-5) − 10 = 25 + 15 - 10 = 30

f(10) = 10^2 − 3(10) − 10 = 100 - 30 - 10 = 60

Average rate of change:

   f(10) - f(-5)                     60  -  30                         30

-------------------- =   ------------------------------- =   -----------------------  = 2

     10 - (-5)                            15                               15

   

4 0
3 years ago
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