Answer:
Yes
IT WILL TAKE 8 YEARS.
Step-by-step explanation:
Bear starting population = 100
Bear population rate = 4 per year
Snake starting population = 1
Snake population rate = doubles every year
Bear population model:
y = 4x+100
Where y = new bear population
x = number of years after year 2000
Snake population model :
y = 2^x
Where y = new snake population
x = number of years after year 2000
THE POPULATION OF SNAKES WILL CATCH UP WITH THAT OF BEARS BECAUSE AFTER 7 YEARS THE POPULATION WILL BE EVEN.
After 7 years :
Bear population :
y = 4x + 100
y = 4(7) + 100 = 128
y = 128
Snake population :
y = 2^x
y = 2^7
y = 128
Using random guess in the both models :
After 8 years :
Bear population :
y = 4x + 100
y = 4(8) + 100 = 132
y = 132
Snake population :
y = 2^x
y = 2^8
y = 256
The measure of the exterior angle PNM will be x < 77. Then the correct option is C.
<h3>What is the triangle?</h3>
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Triangle NPO is shown.
Line ON extends through point M to form exterior angle PNM.
Angle NPO is 38 degrees.
Angle PON is 39 degrees.
Let the exterior angle PNM is x degrees and the interior angle PYO be y.
Then we have
38 + 39 + y = 180°
y = 103°
And we know that the sum of interior and exterior angle is a triangle is 180 degrees.
x + y < 180
103 + x < 180
x < 77
Then the correct option is C.
More about the triangle link is given below.
brainly.com/question/25813512
#SPJ1
Original Equation: 4x - 2(x+1) = 3x + 10
Step 1: Use Distributive Property
4x - 2x - 2 = 3x + 10
Step 2: Combine Like Terms
2x - 2 = 3x + 10
Step 3: Solve
2x - 2 = 3x + 10
- 2x -2x
--------------------------------
-2 = x + 10
-10 -10
------------------------
-12 = x
6 feet = 72 inches
1 inch = 2.54 centimeters
72 * 2.54 = 182.88 cm which equals
1.8288 meters
Answer:
2.9 mi
Step-by-step explanation:
The time difference t between 12.30pm and 3.30pm is 3h.
Let the distance to Marat's house be s.
The equation to calculate velocity v is given by:
v = distance / time.
Now you can write an equation for the time difference t and use the two velocities and the 90 min(= 1.5h) she stays:
3 = s/12 + 1.5 + s/2.3
Solve this equation for s:
(1/12 + 10/23)* s = 1.5
s = 2.9
