Answer:
y'(t) = k(700,000-y(t)) k>0 is the constant of proportionality
y(0) =0
Step-by-step explanation:
(a.) Formulate a differential equation and initial condition for y(t) = the number of people who have heard the news t days after it has happened.
If we suppose that news spreads through a city of fixed size of 700,000 people at a time rate proportional to the number of people who have not heard the news that means
<em>dy/dt = k(700,000-y(t)) </em>where k is some constant of proportionality.
Since no one has heard the news at first, we have
<em>y(0) = 0 (initial condition)
</em>
We can then state the initial value problem as
y'(t) = k(700,000-y(t))
y(0) =0
Answer:
The positive numbers are 51 and 53
Step-by-step explanation:
Let first odd integer be x and another odd integer is (x+2).
According to the given condition,
The product of two positive consecutive odd integers is 2703 i.e.
x(x+2) = 2703
It is a quadratic equation. It can be solved as follows :
x = 51 and x = -53
Neglecting negative sign,
The first number = 51
Another number =(51+2) = 53
Hence, the positive numbers are 51 and 53.
Answer:
628
Step-by-step explanation:
216+412 = 628
First you get rid of the brackets by solving what's in them. Then you just add up the numbers and BOOM. The equation is solved. :-)
Answer:
diagram of truss with some angles missing
What are the measures of the angles located at positions a, b, & c? Note: the figure is symmetrical on the vertical through angle b.
The large triangle is an isosceles triangle. The two angles on the base are equal. Angle a = 35°
We now know two angles in the largest triangle. The third angle, angle b must add to these to make 180°.
35° + 35° + b = 180°
b = 180° - 70°
b = 110°
We now know two angles in a quadrilateral. The two unknown angles, including angle c are equal. All four angles add up to 360°.
2c + 110° + 120° = 360°
2c = 360° - 230°
2c = 130°
c = 65°
Step-by-step explanation:
