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Aleksandr [31]
4 years ago
7

Estimate the instantaneous rate of change of the function f(x) = 5ex at the point x =

Mathematics
1 answer:
liubo4ka [24]4 years ago
7 0

You can find the derivative,

... f'(x) = 5e^x

and evaluate at x=e.

... f'(e) = 5e^e ≈ 75.771311

The derivative is approximately 75.771.

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GEOMETRY PEOPLE PLEASE HELP ME!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST!
IrinaVladis [17]

\Delta KLJ\sim\DeltaNPM (AAA) Corresponding angles are congruent.

Therefore, the sides of the triangles are proportional:

\dfrac{4x-4}{20}=\dfrac{30}{25}    cross multiply

25(4x-4)=(20)(30)    use distributive property

(25)(4x)+(25)(4)=600\\\\100x+100=600    subtract 100 from both sides

100x=500     divide both sides by 100

x=5

--------------------------------------------------------------------------------------------

\Delta PQR\cong\Delta STU (SAS)

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Therefore we have the equation:

3y-2=y+4\qquad|+2\\\\3y=y+6\qquad|-y\\\\2y=6\qquad|:2\\\\y=3

The perimeter of △PQR:

P=4+6+3y-2=8+3y

Substitute the value of y to the expression:

P=8+3(3)=8+9=17\ ft

7 0
3 years ago
Use the formula P = 2l + 2w. Find the perimeter of a rectangle with a length of 12.9 ft and a width of 19.3 ft.
vovikov84 [41]
The answer is P= 64.4 hope it helped

6 0
3 years ago
What is the area of a trapezoid that has base lengths of 17 inches and 25 inches and a height of 14 inches?
gulaghasi [49]

Answer:

294

Step-by-step explanation:

4 0
3 years ago
O is the centre of this circle and point Q is a point of tangency. Determine the value of t. If necessary, give your answer to t
dsp73

Answer:

Hello bozo

Step-by-step explanation:

4 0
2 years ago
What is the slope intercept form of this table?
katrin [286]

Answer:

C. y = 600x + 2200

Step-by-step explanation:

2800-2200 = 600 = slope

2200 (y value) has the x value 0, so 2200 is the y-inercept

hope this helps :)

4 0
3 years ago
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