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MAXImum [283]
2 years ago
13

What's the approximate value of e?

Mathematics
1 answer:
VikaD [51]2 years ago
3 0

Answer:

  (b)  2.71828 . . .

Step-by-step explanation:

If your calculator does not have an 'e' button, you can have it compute e^1 using the exponential function button.

__

  e ≈ 2.718281828459045...

__

Like pi, 'e' is a transcendental number, a number that is not the root of any polynomial with integer coefficients.

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If this is graphing you have to graph it first to find the area. 
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4 years ago
Solve the following system of equations by substitution. Show all steps.
Alinara [238K]

Answer:

Given system of equations:

\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}

To solve by substitution, equate the equations and solve for x:

\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}

Therefore, the x-values of the solution are x = 0 and x = 4.

To find the y-values of the solution, substitute the found values of x into the functions:

f(0)=-(0)^2+2(0)+3=3

g(0)=-2(0)+3=3

f(4)=-(4)^2+2(4)+3=-5

g(4)=-2(4)+3=-5

Therefore, the solutions to the given system of equations are:

(0, 3) and (4, -5)

4 0
2 years ago
Which net matches the solid figure shown below?
gayaneshka [121]

Answer:

the answer is A

Step-by-step explanation:

hope this help

7 0
3 years ago
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The diagonals of a quadrilateral bisect at right angles. What type of quadrilateral is this?
arsen [322]

square

Step-by-step explanation:

8 0
3 years ago
A pecan pie is being served for dessert. One piece of pie has an arc length of 7.85 in. It has been cut into 8 equal pieces. Wha
grin007 [14]

Answer:

The radius of the pie is 6.17 in.

Step-by-step explanation:

The formula for arc length as a function of radius is

s = r·Ф, where Ф is the central angle in radians.

Here we know that the arc length is 7.85 in.  Assuming that the whole pie has been cut into 8 equal pieces, the central angle of one such piece is

2π / 8, or π /4 (radians).

thus, s = r·Ф, solved for r, is r = s/Ф

and in this instance r = (7.85 in)/(π/4).  Evaluating this, we get:

                                 r = 6.17 in

The radius of the pie is 6.17 in.

8 0
4 years ago
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