Complete the steps to find all zeroes of the function f(x) = x4 − 4x3 − 4x2 + 36x − 45. This function has roots.
2 answers:
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Answer: The children weighing 10 pounds, 15 pounds and 30 pounds require 12 teaspoons , 18 teaspoons, 36 teaspoons respectively.
Step-by-step explanation:
Given, The recommended dosage is 40 milligrams per 2.2 pounds of body weight, divided into three daily doses and taken every 8 hours.
i.e. for 1 pound of body weight required dosage per day=
Each dose consist = drug.
so, 1 pound of body weight required 6.06 ml for each dose.
Then, 10 pounds of body weight require 10 x 6.06 ml drug= 60.6 ml
If 1 teaspoon = 5 ml, then 10 pounds of body weight require (60.6 ml ÷5) = 12.12 ≈12 teaspoons.
15 pounds of body weight require 15 x 6.06 ml drug= 90.9 ml
Then 15 pounds of body weight require (90.9 ml ÷5) = 18.18≈18 teaspoons.
30 pounds of body weight require 30 x 6.06 ml drug= 181.8 ml
Then 30 pounds of body weight require (181.8 ml ÷5) = 36.36 ≈ 36 teaspoons.
Hence, the children weighing 10 pounds, 15 pounds and 30 pounds require 12 teaspoons , 18 teaspoons, 36 teaspoons respectively.
Answer: P(t) = 1.25.sin(.t) + 5.65
Step-by-step explanation: A motion repeating itself in a fixed time period is a periodic motion and can be modeled by the functions:
y = A.sin(B.t - C) + D or y = Acos(B.t - C) + D
where:
A is amplitude A=|A|
B is related to the period by: T =
C is the phase shift or horizontal shift:
D is the vertical shift
In this question, the motion of Pluto is modeled by a sine function and doesn't have phase shift, C = 0.
<u>Amplitude</u>:
a =
At t=0, Pluto is the farthest from the sun, a distance 6.9 billions km away. At t=66, it is closest to the star, P(66) = 4.4 billions km. Then:
a =
a = 1.25
<u>b</u>
A time period for Pluto is T=66 years:
66 =
b =
<u>Vertical</u> <u>Shift</u>
It can be calculated as:
d =
d =
d = 5.65
Knowing a, b and d, substitute in the equivalent positions and find P(t).
P(t) = a.sin(b.t) + d
P(t) = 1.25.sin(.t) + 5.65
The Pluto's distance from the sun as a function of time is
P(t) = 1.25.sin(.t) + 5.65
Answer:
15.25% probability that Napoleon and Pedro catch the bus and make it to their first period class on time
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this problem, we have that:
Event A: Both Napoleon and Pedro catch the bus, so P(A) = 0.25.
Event B: Making to their first period class on time.
However, the probability that they make it to their first period class on time, given that they catch the bus is 0.61.
This means that
What is the probability that Napoleon and Pedro catch the bus and make it to their first period class on time
15.25% probability that Napoleon and Pedro catch the bus and make it to their first period class on time