Answer:
2nd answer
Step-by-step explanation:
If you look at the translation, each letter goes to the right one on the X axis, and up for on the Y- axis. Therefore, using arrow notation, the answer would be (X,Y) -> (X + 1, y + 4)
Answer:
Option D
Step-by-step explanation:
Given that the number of hours of daylight in a city in the northern hemisphere shows periodic behavior over time
Let t be the independent variable and no of hours H(t) be the dependent variable on t.
Maximum H(t) = 14.4 and average =12
Period = 365 days
If we fix a sine curve for this since period is 365, we must have coefficient of t as
So the function H(t) will have sine term as sin 0.017t ... i
Since average = 12, we have
H(t) = 12+a sin 0.017t
for some suitable a.
To find a, use maximum
Maximum is when angle is 90 degrees i.e. when sine value =1
max H(5) = 14.4 = 12+a (1)
a =2.4
Hence correct equation would be'H(t) = 2.4sin(0.017t)+12
OPtion D is right answer.
Since they want the unit of volume to be cm^3, first we have to convert the values given from inch into cm
=> 12 in = 30.48cm
4 in = 10.16cm
14 in = 35.56cm
Since both of the figures are cylinders, we have to find them one by one
Find the volume of the upper cylinder
Formula: V = pi*r^2*h
We know, pi = 3,
radius = diameter of base/2
=> r = 30.48cm/2 = 15.24cm
height = 30.48cm
We get V=3*(15.24)^2*30.48=21237.6cm^3
Find the volume of lower cylinder
Formula: V = pi*r^2*h
We know, pi = 3,
radius = diameter of base/2
=> r = 35.56cm/2 = 17.78cm
height = 10.16cm
We get
V = 3*(17.78)^2*10.16 = 9635.6cm^3
Therefore, the volume of the object is
V = 21237.6cm^3 + 9635.6cm^3
= 30873.2cm^3.
We know that 1 foot = 12 inches and 1 minute = 60 seconds, so to convert 60 inches per second to feet per minute, we are going to multiply
by
and
to cancel units and express our answer in feet per minute:
We can conclude that after converting 60 inches per second to <span>feet per minute, we get 300 feet per minute.</span>
Answer:
x^2-2x+1
Step-by-step explanation:
We can solve this by using FOIL
First, Outside, Inside, Last
Multiply the x with the x to get x^2
Then x times -1 for the outside numbers to get -x
Then -1 times x for the inside numbers to get -x
And finally -1 and -1 for the last numbers to get 1
Add the two -x to get -2x.
Put it all together
x^2-2x+1