All categories

3 years ago

How the number e was discover

Mathematics

2 answers:

Vaselesa [24]3 years ago

5 0

Answer:

It was that great mathematician Leonhard Euler who discovered the number e and calculated its value to 23 decimal places. It is often called Euler's number and, like pi, is a transcendental number (this means it is not the root of any algebraic equation with integer coefficients

aalyn [17]3 years ago

3 0

Dvzhrcvvxxn. Ik sorry

You might be interested in

During a chemical reaction, the function y=f(t) models the amount of a substance present, in grams, at time t seconds. At the st

PtichkaEL [24]

Answer:

The solution of differential equation =

y = $\boldsymbol{\frac{10}{.2t - 1}}$

Step-by-step explanation:

Given-

y=f(t) models the amount of a substance present, in grams, at time t seconds

when t = 0 then y = 10

the differential equation is

$\boldsymbol{\frac{\mathrm{d} y}{\mathrm{d} t} = -0.02 y^{2}}$

$\frac{\mathrm{d} y}{y^{2}} = -0.02\mathrm{d} t$

Integrate both side

$\int \frac{\mathrm{d} y}{y^{2}} = \int -0.02\mathrm{d} t$

$\frac{y^{-2 + 1}}{-2 + 1} = -.02\times t$ + C

$\frac{- 1 }{y} = -.02\times t + C$

when t = 0 then y = 10

$\frac{- 1 }{10} = -.02\times 0 + C$

C = $\frac{- 1 }{10}$

$\frac{- 1 }{y} = -.02\times t - \frac{ 1 }{10}$

$\frac{ 1 }{y} = .02\times t - \frac{ 1 }{10}$

$\frac{ 1 }{y} = \frac{.2t - 1}{10}$

y = $\frac{10}{.2t - 1}$

5 0

3 years ago

What are the solutions to the equation 3x^2 + 15x = 18. Show your work.

balandron [24]

Assignment: $\bold{Solve \ Equation: \ 3x^2+15x=18}$

<><><><><><><>

Answer: $\boxed{\bold{x=1,\:x=-6}}$

<><><><><><><>

Explanation: $\downarrow\downarrow\downarrow$

<><><><><><><>

[ Step One ] Subtract 18 From Both Sides

$\bold{3x^2+15x-18=18-18}$

[ Step Two ] Simplify

$\bold{3x^2+15x-18=0}$

[ Step Three ] Solve With Quadratic Formula

Note: $\bold{For\:a\:quadratic\:equation\:of\:the\:form\: ax^2+bx+c=0}$

$\bold{the \ solutions \ are \ x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}$

$\bold{a=3,\:b=15,\:c=-18:\quad x_{1,\:2}=\frac{-15\pm \sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}}$

<><><><><><><>

$\bold{\frac{-15+\sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}: \ 1}$

$\bold{\frac{-15-\sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}: \ -6}$

[ Step Four ] Combine Solutions

$\bold{x=1,\:x=-6}$

<><><><><><><>

$\bold{\rightarrow Mordancy \leftarrow}$

5 0

2 years ago

Read 2 more answers

Help me with it I will give you 20 points

cupoosta [38]

Answer:

a^2 +b^2=c^2

Given vertices of the triangle are A(4,4),B(3,5) and C(−1,−1)

We know that slope of line passing through the points (x 1,y 1) and (x 2,y 2

) is given by m= x 2−x 1

−y



Slope of AB i.e.m

3−4

5−4

=−1

Slope of BC i.e.m

−1−3

−1−5

−4

−6

Slope of CA i.e. m

4+1

Clearly, m

=−1

⇒ line segments AB and CA are perpendicular to each other i.e; the given triangle is right angled at A(4,4).

Thus the points (4,4),(3,5) and (1,1) are the vertices of a right angled triangle.

Step-by-step explanation:

4 0

2 years ago

The producer of a certain bottling equipment claims that the variance of all its filled bottles is .027 or less. A sample of 30

o-na [289]

Answer:

$p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459$

b. between .025 and .05

Step-by-step explanation:

Previous concepts and notation

The chi-square test is used to check if the standard deviation of a population is equal to a specified value. We can conduct the test "two-sided test or a one-sided test".

$\bar X$ represent the sample mean