So, theres this rule for all 30,60,90° triangles, one leg is x, the hypotenuse is 2x, and the longer leg is x(sqrt3), so ab is 2(43) so it is 86. im not sure why it says round to 2 decimal places. uh... if so, 86.00. so... that part confused me.
Answer:
Answer:
The required model is
60 pounds of concrete each bag make.
Step-by-step explanation:Consider the provided information.
Let the number of concrete bags are used is represented by y.
Part (A)
3.5 bags of concrete mix for a new set of stairs and 2.25 bags of concrete mix for a garden wall.
This can be written as:
Timothy mixed 345 pounds of concrete in all.
Therefore,
Hence, the required model is
Part (B) Solve for y. How many pounds of concrete does each bag make?
Consider the above equation.
Solve the equation for y as shown.
Add the like terms.
Divide both the sides by 5.75
Hence, 60 pounds of concrete each bag make.
Answer:
A
Step-by-step explanation:
The denominator of all the options are the same. So we just need to look at the numerator
Answer:
P(t) = 2093e^(42t).
Step-by-step explanation:
The population of this town can be modeled by the following differential equation
dP/dt = Pr
where r is the growth rate in people a year.
We can solve this differential equation by the separation of variables method.
dP/P = rdt
Integrating both sides, we have:
ln P = rt + P0
where P0 is the initial population
To isolate P, we do this:
e^(ln P) = e^(rt + P0)
P(t) = P0e^(rt).
We have that the population increases by 42 people a year, so r = 42. We also have that the population at time t = 0 is 2093 people, so P0 = 2093.
So the formula for the population, P, of the town as a function of year t is P(t) = 2093e^(42t).
