Answer:
Formula of the function is found:
[tex]H(t) = 8.5cos(\frac{2\pi}{3}(t-1.3))-35.5[/tex]
For t= 2.5s , vertical distance is:
H(2.5) = +42.38cm , H(2.5) = -42.38cm
Explanation:
General form of trigonometric function H(t) is given by:
[tex]H(t)=Acos(B(t-C))+D[/tex]
Where
A = Amplitude
Period = 3s = 2π/B
B = 2π/3
C = Phase shift = 1.3s
D = Vertical Shift
Find A (Amplitude):
Amplitude = (highest value - lowest value)/2
Amplitude = (-27-(-44))/2
Amplitude = (-27+44)/2
Amplitude = 8.5
Find D (Vertical Shift)
Vertical shift can be found by finding midpoint
Midpoint = (highest value + lowest value)/2
Midpoint = (-27-44)/2
Midpoint = -35.5
Substitute the values of A,B,C,D in the general form of trigonometric function.[tex]H(t)=Acos(B(t-C)) +D[/tex][tex]H(t) = 8.5cos(\frac{2\pi}{3}(t-1.3))-35.5[/tex]
which is the formula of the function
For t = 2.5s[tex]H(2.5)=8.5cos(\frac{2\pi}{3}(2.5-1.3))-35.5 \\H(2.5)= +42.38 {cm} ,H(2.5)=-42.38cm[/tex]
Which event is described in the excerpt from book 13 of homers Odyssey
Answer:
The moment when Minerva disguises Ulysses as an old beggar.
Explanation:
There is a clothing store in Bartlesville. The owner has devised his own method of pricing items. A vest costs $20, socks cost $25, a tie costs $15 and a blouse costs $30. Using the method, how much would underwear cost?
Answer:
45002
Explanation:
The square below has an area of 16+8x+x216+8x+x^2 16+8x+x 2 16, plus, 8, x, plus, x, squared square meters.
The number of tickets purchased by an individual for Beckham College’s holiday music festival is a uniformly distributed random variable ranging from 2 to 10. Find the mean and standard deviation of this random variable. (Round your answers to 2 decimal places.)
Answer:
The mean of the distribution is 4.00 and the standard deviation is 2.31
Explanation:
Given
Range = 2 to 10
Type of distribution = uniform distribution
Required
1. Mean
2. Standard Deviation
The mean of uniform distribution is calculated as thus;
[tex]Mean = \frac{1}{2}(a + b)[/tex]
Where b and a are the intervals of the distribution
b = upper bound = 10
a = lower bound = 2
So,
[tex]Mean = \frac{1}{2}(a + b)[/tex]
Substitute 10 for b and 2 for a
[tex]Mean = \frac{1}{2}(2 + 10)[/tex]
[tex]Mean = \frac{1}{2}(12)[/tex]
[tex]Mean = \frac{1}{2} * 12[/tex]
[tex]Mean = 6[/tex]
[tex]Mean = 6.00[/tex] (Approximated to 2 decimal places)
The standard deviation of uniform distribution is calculated as thus;
σ = √σ²
Where σ represents the standard deviation and σ² represents the variance.
Calculate variance
σ² = Var
[tex]Var = \frac{(b-a)^2}{12}[/tex]
Substitute 10 for b and 2 for a
[tex]Var = \frac{(10 - 2)^2}{12}[/tex]
[tex]Var = \frac{8^2}{12}[/tex]
[tex]Var = \frac{64}{12}[/tex]
[tex]Var = 5.33[/tex]
Recall that
σ = √σ² = √Var
Substitute 5.33 for Var
σ = √5.33
σ = 2.309401076758503
σ = 2.31 (Approximated)
Hence, the mean of the distribution is 4.00 and the standard deviation is 2.31
Assume that there is a 6% rate of disk drive failure in a year. a. If all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. If copies of all your computer data are stored on three three independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?
Which of the following is an example of chemical control of nonnative species? a. mowing b. herbicides c. net barriers d. inspections Please select the best answer from the choices provided A B C D
Answer:
B. Herbicides
Explanation:
Nonnative species are species that are found outside their natural habitat. They are also called foreign species. They are introduced through the activities of man either deliberately or in-deliberately . They can be controlled by chemical, biological and mechanical means.
Mowing, net barriers and inspections are mechanical controls.
Biological control is the deliberate introduction of natural enemies of these nonnative/foreign species.
The use of herbicides is a chemical control of plants that grow where they are not wanted.
Answer:
Example of Chemical Control of Non-native species.
B) Herbicides
Explanation:
In the given options, all of them are can be used to remove or control non-native species. but among them only Herbicides is the chemical solution to control non-native species.
Herbicides are chemicals that are used to kill unwanted plants, which can be taken as non-native species.
Some of the herbicides kill the unwanted plants while leaving the desired crops unharmed, some interfere with the growth of such species while some kill all the plant material with which they come in contact with
It's most accurate to say that hand-tied arrangements
Complete question reads;
3. It's most accurate to say that hand-tied arrangements
A. are especially popular for weddings.
B. include only one or two floral materials.
C. are difficult to carry.
D. require a concealed water supply.
Answer:
B. include only one or two floral materials.
Explanation:
Remember, when flowers are been arranged by a florist consideration is made to allow for efficient handling. This involves using a few flower stems and constructing them using one’s hand to form the arrangement. The stems therefore would form a handle which could be held, thus only one or two floral materials are used.
how you would develop research to answer a sociopsychological question