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vampirchik [111]
2 years ago
5

The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x = 0

representing the year 2000, the graph below models this scenario.
What number will complete the point-slope equation that models this scenario?

y 50,000 = (x 10)
Mathematics
2 answers:
mixas84 [53]2 years ago
7 0
-3000 is correct
Hope this helps :D
Alik [6]2 years ago
4 0

Answer:

-3000

Explanation:

The missing number is the slope of the line.

To calculate the slope, we use the formula

m=\frac{y_2-y_1}{x_2-x_1}

Using the points (0, 80000) and (10, 50000) [<em>remember</em>, the year 2000 is at x = 0; this means the year 2010 would be at x=10] we have:

m = (50000-80000)/(10-0) = -30000/10 = -3000

The missing number, the slope, is -3000.

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Which equation can be used to solve for c? Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 35 degrees. The
aliina [53]

Answer:

The correct option is B) c=\frac{5}{\cos35^0}.

Step-by-step explanation:

Consider the provided information.

Angle A C B is 90 degrees and angle A B C is 35 degrees.

The required figure is shown below:

We need to find the value of c.

Use the trigonometric function: \cos\theta=\frac{Adjacent}{Hypotenuse}

\cos35^0=\frac{5}{c}

c=\frac{5}{\cos35^0}

Hence, the correct option is B) c=\frac{5}{\cos35^0}.

4 0
2 years ago
Read 2 more answers
A=&lt;3,0,-1&gt;, find a vector b such that comp(sub a) b=2.
Anna35 [415]
Compab=a.b/|a|
b=<0,1,−2√10>
a.b= 2√10
|a| = √10
a.b/|a|=2√10 / √10=2


5 0
2 years ago
After drawing the line y = 2x − 1 and marking the point A = (−2, 7), Kendall is trying to decide which point on the line is clos
igor_vitrenko [27]

Answer:

Step-by-step explanation:

Having drawn the line, Kendall must verify that the point P belongs to the line y = 2x-1 and then calculate the distance between A-P  and verify if it is the closest to A or there is another one of the line

Having the point P(3,5) substitue x to verify y

y=2*(3)-1=6-1=5 (3,5)

Now if the angle formed by A and P is 90º it means that it is the closest point, otherwise that point must be found

d_{AP}=\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}=\sqrt{(5-7)^{2}+(3-(-2}))^{2}}=\\\sqrt{(-2)^{2}+(5)^{2}}=\sqrt{29}

and we found the distance PQ and QA

; d_{PQ}=\sqrt{125}, d_{QA}=12

be the APQ triangle we must find <APQ through the cosine law (graph 2).

3 0
2 years ago
PLEASE HELP! Given the following equation of an exponential function N= 40.25(1.0394)^t determine the base, b, of the exponentia
NeTakaya
The exponential equation in its generic form is:
 y = A * (b) ^ t
 Where,
 A: initial amount
 b: base (Growth rate for b> 1. Decrease rate for b <1.)
 t: time.
 We have then that the equation is:
 N = 40.25 (1.0394) ^ t
 The base is:
 b = 1.0394> 1 (it is a growth rate)
 Answer:
 
The base, b, of the exponential model is:
 
b = 1.0394
 the base is a growth rate
5 0
2 years ago
David wants to buy a game system and his favorite game.The game costs $25 and is 1/5 of the price of the game system.How much do
alukav5142 [94]

multiply 25 by 5 = 125

 the game system cost 125

 

6 0
1 year ago
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