1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna71 [15]
3 years ago
12

Write this numeral in scientific notation. 2,000,004

Mathematics
2 answers:
tia_tia [17]3 years ago
5 0

the <u>correct</u> answer is 2.000 004 × 10^(6)

Katyanochek1 [597]3 years ago
3 0
The numerical notation of 22000004 would be

2*10^6
You might be interested in
Let z=3+i, <br>then find<br> a. Z²<br>b. |Z| <br>c.<img src="https://tex.z-dn.net/?f=%5Csqrt%7BZ%7D" id="TexFormula1" title="\sq
zysi [14]

Given <em>z</em> = 3 + <em>i</em>, right away we can find

(a) square

<em>z</em> ² = (3 + <em>i </em>)² = 3² + 6<em>i</em> + <em>i</em> ² = 9 + 6<em>i</em> - 1 = 8 + 6<em>i</em>

(b) modulus

|<em>z</em>| = √(3² + 1²) = √(9 + 1) = √10

(d) polar form

First find the argument:

arg(<em>z</em>) = arctan(1/3)

Then

<em>z</em> = |<em>z</em>| exp(<em>i</em> arg(<em>z</em>))

<em>z</em> = √10 exp(<em>i</em> arctan(1/3))

or

<em>z</em> = √10 (cos(arctan(1/3)) + <em>i</em> sin(arctan(1/3))

(c) square root

Any complex number has 2 square roots. Using the polar form from part (d), we have

√<em>z</em> = √(√10) exp(<em>i</em> arctan(1/3) / 2)

and

√<em>z</em> = √(√10) exp(<em>i</em> (arctan(1/3) + 2<em>π</em>) / 2)

Then in standard rectangular form, we have

\sqrt z = \sqrt[4]{10} \left(\cos\left(\dfrac12 \arctan\left(\dfrac13\right)\right) + i \sin\left(\dfrac12 \arctan\left(\dfrac13\right)\right)\right)

and

\sqrt z = \sqrt[4]{10} \left(\cos\left(\dfrac12 \arctan\left(\dfrac13\right) + \pi\right) + i \sin\left(\dfrac12 \arctan\left(\dfrac13\right) + \pi\right)\right)

We can simplify this further. We know that <em>z</em> lies in the first quadrant, so

0 < arg(<em>z</em>) = arctan(1/3) < <em>π</em>/2

which means

0 < 1/2 arctan(1/3) < <em>π</em>/4

Then both cos(1/2 arctan(1/3)) and sin(1/2 arctan(1/3)) are positive. Using the half-angle identity, we then have

\cos\left(\dfrac12 \arctan\left(\dfrac13\right)\right) = \sqrt{\dfrac{1+\cos\left(\arctan\left(\dfrac13\right)\right)}2}

\sin\left(\dfrac12 \arctan\left(\dfrac13\right)\right) = \sqrt{\dfrac{1-\cos\left(\arctan\left(\dfrac13\right)\right)}2}

and since cos(<em>x</em> + <em>π</em>) = -cos(<em>x</em>) and sin(<em>x</em> + <em>π</em>) = -sin(<em>x</em>),

\cos\left(\dfrac12 \arctan\left(\dfrac13\right)+\pi\right) = -\sqrt{\dfrac{1+\cos\left(\arctan\left(\dfrac13\right)\right)}2}

\sin\left(\dfrac12 \arctan\left(\dfrac13\right)+\pi\right) = -\sqrt{\dfrac{1-\cos\left(\arctan\left(\dfrac13\right)\right)}2}

Now, arctan(1/3) is an angle <em>y</em> such that tan(<em>y</em>) = 1/3. In a right triangle satisfying this relation, we would see that cos(<em>y</em>) = 3/√10 and sin(<em>y</em>) = 1/√10. Then

\cos\left(\dfrac12 \arctan\left(\dfrac13\right)\right) = \sqrt{\dfrac{1+\dfrac3{\sqrt{10}}}2} = \sqrt{\dfrac{10+3\sqrt{10}}{20}}

\sin\left(\dfrac12 \arctan\left(\dfrac13\right)\right) = \sqrt{\dfrac{1-\dfrac3{\sqrt{10}}}2} = \sqrt{\dfrac{10-3\sqrt{10}}{20}}

\cos\left(\dfrac12 \arctan\left(\dfrac13\right)+\pi\right) = -\sqrt{\dfrac{10-3\sqrt{10}}{20}}

\sin\left(\dfrac12 \arctan\left(\dfrac13\right)+\pi\right) = -\sqrt{\dfrac{10-3\sqrt{10}}{20}}

So the two square roots of <em>z</em> are

\boxed{\sqrt z = \sqrt[4]{10} \left(\sqrt{\dfrac{10+3\sqrt{10}}{20}} + i \sqrt{\dfrac{10-3\sqrt{10}}{20}}\right)}

and

\boxed{\sqrt z = -\sqrt[4]{10} \left(\sqrt{\dfrac{10+3\sqrt{10}}{20}} + i \sqrt{\dfrac{10-3\sqrt{10}}{20}}\right)}

3 0
3 years ago
Read 2 more answers
How do i write 23r4 in verbal expression
cupoosta [38]

Answer:

if it's 2/3r^4 heres the answer

Step-by-step explanation:

1.) 2/3 times r raised to the 4th power

2.) the product of 2/3 and r raised to the 4th power

3.) 2/3 multiplied by r raised to the 4th power

4.) 2/3 of r raised to the 4th power

you can pick one of the many choices I've listed!! youre welcome :)

7 0
2 years ago
Read 2 more answers
Which of the following expressions represents the distance between-1/4 and 3/4
Shalnov [3]

Answer:

|-1/4 - 3/4|

Step-by-step explanation:

To get the distance, take the absolute value of the second point minus the first point

| 3/4 - - 1/4|

|3/4 +  1/4|

We can also  take the absolute value of the first point minus the second point

|-1/4 - 3/4|

4 0
3 years ago
Plsssssssssssss helpppppppp
STatiana [176]

Answer:

the last one


Step-by-step explanation:


5 0
3 years ago
How do i the find the slope?
inna [77]

Step-by-step explanation:

x ^{1}  =  - 5 \\ y ^{1}  =  - 2 \\ x {}^{2}  =  - 2 \\ y {}^{2}  = 1 \\ then \: you \: solve \: with \: that \: formula \: you \: know

3 0
2 years ago
Other questions:
  • Need help with these two percentages...<br>1) Increase 480 by 1 % <br>2) Decrease 180 by 13 %
    7·1 answer
  • PLS TELL ME WHAT IT IS
    15·2 answers
  • A bank promises to pay 5.5% pa compound interest on
    15·1 answer
  • I need help please giving brainlest which statement accurately describes the scatter plot
    10·1 answer
  • What is the mean for 5 1 15 43 9 9 11 11 14 12 36 and 6<br><br> (Use mad)
    13·2 answers
  • What is the inverse operation needed to isolate the variable 4 = p - 8
    5·2 answers
  • #1. The coach took a digital photo of the new cycling team bike. She sento
    5·1 answer
  • HELP THIS IS MY 2ND ATTEMPT
    13·1 answer
  • A sphere and a cylinder have the same radius and height. The volume of the cylinder is 48 cm³.
    10·1 answer
  • Brandon and his friend combined their allowance of $900 each, so they could buy a movie a 2-for-1 movie ticket for $1200. They b
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!