Choice A is the only one that is changing at a constant rate. The reason is that for all three other choices the new rate is based on a different amount after the percent has been applied or the doubling of the ants has been applied. The price per day for the lunch Is constant because whatever the number of days is the amount would always stay the same for each of those days.
Answer:
No
Step-by-step explanation:
the radius squared is 49 times π, which is roughly 3 means the area of the base is roughly 150 ft².
This means that one third of the height cannot be more than 100 / 150 = 2/3 of a foot. That makes the height about 2 ft, much less than the reported 25 ft.
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. In our tomato example, that ratio is $3.00/2, which equals $1.50. Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
:)
Answer:
A. csc θ=1/sinθ
Step-by-step explanation:
From SOHCAHTOA,
sine = opposite/ hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent
In a right angled triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the side opposite the angle. This is the inverse of sine , therefore:
Csc Ф = 1/ sinФ
Slope intercept form of a line is y=mx+b where m= slope and b=y-intercept.
Now compare this form with the tiven equation y=4x-9 to get the value of m.
So, m= 4.
Slope of all parallel lines are always equal. Which means the line which is parallel to this has also the same slope: m=4.
Now we need to find the value of b to get the equation. That parallel line passes through (-5,3).
The point intercept form of a line is,
(y-y1)=m(x-x1)
So, we can plug in the m=4, x1=-5 and y1=3 in the above equation. Hence,
y-3=4(x-(-5))
y-3=4(x+5) Since -(-5)=+5
y-3=4x+20 By distributing property.
y=4x+20+3 Adding 3 to each sides.
y=4x+23
So, the slope-intercept form of that parallel line is y=4x+23.
