A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and t

Answer:

dV(t)/dt = kV(t)

Step-by-step explanation:

The annual change in the car's value, represented by dV(t)/dt, has a proportional relationship with V(t), the car's current value.

dV(t)/dt ∝ V(t)

dV(t)/dt = kV(t)

The likelihood stands at 6 out of 120, or 1/20, equivalent to a 5% probability. You can calculate this by defining the total number of outcomes. When organizing items within a set, the factorial function on your calculator, denoted by "!", is a straightforward way to arrive at a solution. This function indicates the product of all integers less than that number down to 1 multiplied together. Therefore, since there are 5 letters in the word poker, we utilize 5! which can be expanded to 1*2*3*4*5 = 120. Next, we must identify how many combinations begin with k and conclude with p. There are precisely 6 such configurations: koerp, korep, kreop, kroep, kerop, and keorp. Finally, we divide the number of favorable outcomes by the total possibilities.

Given :

∠m1 = ( 7x - 19 )°.

∠m2 = ( x + 5 )°.

To Find :

The value of x .

Solution :

As the relationship between angle ∠m1 and ∠m2 isn't specified,

let's presuppose that the sum of ∠m1 and ∠m2 equals 180°.

Thus,

Angle ∠m2 = (24.25 + 5 )° = 29.25°.

Consequently, ∠m2 is 29.25°.

Hence, this solution meets the requirements.

Steps 4 and 5 are utilized in deriving the equation found in step 6.

Steps 5 and 7 contribute to obtaining the equation in step 8.

Steps 8 and 6 are essential for achieving the equation in step 9.

In step 14, the term "similar argument" indicates a need to draw segment BD and apply the same reasoning used in steps 3-12.

Answer:

29 years

Step-by-step explanation:

The Chinese population stands at 1.3 billion, growing at an annual rate of 0.49%. To determine how many years it will take to reach 1.5 billion, we utilize the following calculation:

After x years, the projected population will be

1.3 * 1.0049^x

This leads us to solve:

1.3 * 1.0049^x = 1.5

1.0049^x = 1.5/1.3

x log 1.0049 = log(1.5/1.3)

x = log(1.5/1.3)/log(1.0049)

x = 0.062 / 0.002122

x = 29.25 years

<pThus, at a rate of 0.49%, it would take approximately 29 years for the Chinese population of 1.3 billion to grow to 1.5 billion.