Which is an exponential decay function? f(x) = 0.2(5/3)^x f(x)=-3.1^x f(x)=10^x f(x)=-2(0.7)^x
2 answers:
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Answer:
389 feets apart
Step-by-step explanation:
Given that:
Building A
Height = 400feets
Angle of elevation = 70°
Building B:
Height = 300 feets
Angle of elevation = 52°
Distance from the foot of building A to where Jonny is standing = x (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 70 = 400/ x
2.7474774x = 400
x = 145.58809 feets
Distance from the foot of building B to where Jonny is standing = y (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 52 = 300/ y
1.2799416y = 300
y = 145.59
y = 234.38568 feets
x + y = distance between the two buildings
(145.58809 + 234.38568) feets
= 379.97377
= 380 feets apart
a) We have to calculate the height of the pad.
We know that the volume will be 4704 cubic feet.
We also know that the base of the pad is a square of side length 56 feet.
As the volume is the area of the base times the height, we can find the height by dividing the volume by the base area:
The height is 1.5 feet.
b) Now, we have a circular pad of which we know the height (1.5 feet) and the volume (4705 ft³). The area of the base will have to be the same as the are of the square: 3136 ft².
The area of this circular pad can be expressed as πD²/4, so we can calculate the diameter D as:
The diameter is approximately 63.21 feet.
Answer:
a) The pad will be 1.5 feet thick
b) The diameter will be 63.21 feet.
Answer:
x-intercept:
A line that crosses the graph at x-axis.
i.e substitute y = 0 and solve for x.
As per the statement:
A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water
Given the graph:
Substitute y = 0 we have;
⇒
⇒
⇒
⇒
⇒
By zero product property we have;
x-20 =0 and x+10 = 0
⇒x = 20 and x = -10
Therefore, the x-intercept represents the water has no larvae at −10 degrees Celsius and 20 degrees Celsius.