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Alla [95]
3 years ago
7

Let f(x)=15/(1+4e)^(-0.2x) What is the y-intercept of the graph of f(x) ?

Mathematics
2 answers:
sergejj [24]3 years ago
5 0
That means when x=0
e^-0.2x =e^0=1
So f(0)=15/5=3
Neko [114]3 years ago
3 0

Answer:

y-intercept of the graph of f(x) is, 3

Step-by-step explanation:

y-intercept states that the graph cross the y-axis.

i.e, substitute x = 0 and solve for y.

As per the statement:

Given the function:

f(x) = y = \frac{15}{1+4e^{-0.2x}}

To find y-intercept:

By definition:

Substitute x = 0 we have;

y = \frac{15}{1+4e^{-0.2 \cdot 0}} = \frac{15}{1+4 \cdot 1}  =\frac{15}{5} = 3

therefore, the y-intercept of the graph of f(x) is, 3

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2/3 years = how many months?
Dovator [93]

Answer:

8 months because 3 divided by 12 equals 4 times 2 equals 8

Step-by-step explanation:

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3 years ago
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A submarine elevation is -14 feet relative to sea level. A shark is swimming at elevation of -56 feet what is the difference in
likoan [24]

In order to solve this kind of problem, we must find the difference between two negative numbers describing elevation. Although when you have 2 negative numbers in a subtraction-elevation problem, the elevation difference won't be negative... It would be positive. -56 - (-14) would usually equal -42 feet but that would just describe a regular negative subtraction problem, so it becomes 42 feet. This answer is positive since it describe the distance between these integers.

4 0
3 years ago
in the figure below trianglePQM and triangleQRP are right triangles. the measure of lineQM is 6 and the measure of lineQP is 8.
Kipish [7]

Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

hypotenuse^2=base^2+perpendicular^2

Use pythagoras formula for triangle PQM.

PM^2=QM^2+PQ^2

PM^2=(6)^2+(8)^2

PM^2=36+64

PM^2=100

PM=10

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

PQ^2=QR^2+PR^2

(8)^2=QR^2+x^2

64-x^2=QR^2                   .....(1)

Use pythagoras formula for triangle MQR.

MQ^2=QR^2+MR^2

(6)^2=QR^2+(10-x)^2

36=QR^2+x^2-20x+100

36-x^2+20x-100=QR^2        .... (2)

From equation (1) and (2) we get

36-x^2+20x-100=64-x^2

20x-64=64

20x=128

x=6.4

Therefore length of PR is 6.4 units and option 4 is correct.

3 0
3 years ago
4 x 2 -3= equals what.
yaroslaw [1]

Answer:

5

Step-by-step explanation:

4 x 2 - 3 =

8 - 3 =

5

4 0
3 years ago
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Calculate (A⃗ ×B⃗ )⋅C⃗ for the three vectors A⃗ with magnitude A = 5.08 and angle θA = 25.6 ∘ measured in the sense from the +x
alexgriva [62]

Answer:

(A⃗ ×B⃗ )⋅C⃗ = - 76.415

Step-by-step explanation:

First we need to calculate (A⃗ ×B⃗ ) :

(A⃗ ×B⃗ ) = A.B.sin (α).n

Where A is the magnitude of A⃗

Where B is the magnitude of B⃗

Where α is the angle between A⃗ and B⃗ = 63.9 - 25.6 = 38.3

Finally n is the vector orthogonal to A⃗ and B⃗

n magnitude is 1 and his direction is given by the right hand-rule

so n = ( 0 , 0 , 1 )

(A⃗ ×B⃗ ) = A.B.sin (α).n = 5.08 . 3.94 . sin (38.3) . (0 , 0 , 1 ) = (0,0,12.4)

C⃗ can be written as C.(0,0,-1) because of his +z - direction

C.(0,0,-1) = 6.16.(0,0,-1) = (0,0,-6.16)

(A⃗ ×B⃗ )⋅C⃗ = (0,0,12.4).(0,0,-6.16) = -76.41480787 = -76.415

8 0
3 years ago
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