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Arlecino [84]
3 years ago
11

The u.s. senate is composed of 2 senators from each state

Mathematics
1 answer:
Anit [1.1K]3 years ago
4 0
The US Senate is composed of 2 Senators from each of the 50 states to give a total of 100 people in the Senate.
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The number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees. Which expression r
Blababa [14]

Given:

Present number of trees = 2.5 billions

Rate of decrease = 0.5% per month

To find:

The expression that represents how many trees will be left in 10 years?

Solution:

Exponential decay model:

P(t)=a(1-r)^t         ...(i)

where, a is initial value, r is decreasing rate and t is time period.

We have,

a = 2.5 billions

r = 0.5% = 0.005 per month

t = 10 years = 120 months                         [1 year = 12 months]

Putting a=2.5, r=0.005 and t=120 in (i), we get

P(120)=2.5(1-0.005)^{120}

P(120)=2.5(0.995)^{120}

P(120)=1.3699657

P(120)\approx 1.37

Therefore, the required expression is 2.5(1-0.005)^{120} and the remaining trees after 10 years is about 1.37 billions.

5 0
3 years ago
Noah made 12 kg of trail mix .He ate 8,600 kg of it .How many liters does he have left.
NeX [460]

Answer:

72 Newtons

Step-by-step explanation:

4 0
3 years ago
The three tools the federal reserve uses to enact monetary policy are?
yaroslaw [1]
The discount rate, reserve<span> requirements, and open market operations.</span>
4 0
3 years ago
Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
PolarNik [594]

Answer:

  one point

Step-by-step explanation:

A system of two linear equations will have one point in the solution set if the slopes of the lines are different.

__

When the equations are written in the same form, the ratio of x-coefficient to y-coefficient is related to the slope. It will be different if there is one solution.

  • ratio for first equation: 1/1 = 1
  • ratio for second equation: 1/-1 = -1

These lines have <em>different slopes</em>, so there is one solution to the system of equations.

_____

<em>Additional comment</em>

When the equations are in slope-intercept form with the y-coefficient equal to 1, the x-coefficient is the slope.

  y = mx +b . . . . . slope = m

When the equations are in standard form (as in this problem), the ratio of x- to y-coefficient is the opposite of the slope.

  ax +by = c . . . . . slope = -a/b

As long as the equations are in the same form, the slopes can be compared by comparing the ratios of coefficients.

__

If the slopes are the same, the lines may be either parallel (empty solution set) or coincident (infinite solution set). When the equations are in the same form with reduced coefficients, the lines will be coincident if they are the same equation.

8 0
2 years ago
2. Which number is a solution of the inequality? <br> -5 <br> -6<br> 6<br> 7
Sveta_85 [38]
I don’t understand your answerso you can be more specific?
7 0
3 years ago
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