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
Paul [167]
3 years ago
12

Simplify the following expression: (6.8 × 10^3) ×(4.54 × 10^6)

Mathematics
1 answer:
swat323 years ago
8 0
(6.8\cdot10^3)\cdot(4.54\cdot10^6)=(6.8\cdot4.54)\cdot(10^3\cdot10^6)=30.872\cdot10^{3+6}\\\\=30.872\cdot10^9=3.0872\cdot10^{10}

You might be interested in
Can you help me in my math work
Ket [755]

The LCM of 18 and 24 using the prime-factorization method is <u>72</u>.

The LCM of 27, 81, and 54, using the division method is <u>162</u>.

In the first question, we are asked to find the LCM of the given numbers using the prime factorization method.

(i) 18, 24.

Prime factorization gives:

18 = 2*3², and 24 = 2³*3.

The LCM is the product of the highest power of each prime factor.

Thus, LCM = 2³*3² = 8*9 = 72.

Thus, the LCM of 18 and 24 using the prime-factorization method is <u>72</u>.

Doing similarly for other sub-parts, The LCM of:

(ii) 16, 40 is 80.

(iii) 30, 36 is 180.

(iv) 28, 44 is 308.

(v) 20, 32 is 160.

(vi) 20, 135 is 540.

(vii) 45, 75 is 225.

(viii) 36, 84 is 252.

(ix) 12, 18, 24 is 72.

(x) 25, 35, 45 is 1575.

(xi) 9, 15, 21 is 315.

(xii) 25, 50, 75 is 150.

In the second question, we are asked to find the LCM of the given numbers, using the division method.

(i) 27, 81, 54.

The division method gives:

\underline{2|27,81,54}\\\underline{3|27,81,27}\\\underline{3|9,27,9}\\\underline {3|3,9,3}\\\underline{3|1,3,1}\\{1|1,1,1}

The LCM is the product of all the numbers used for division.

LCM = 2*3*3*3*3*1 = 162.

Thus, the LCM of 27, 81, and 54, using the division method is <u>162</u>.

Doing similarly for other sub-parts, The LCM of:

(ii) 18, 45, 63 is 630.

(iii) 35, 55, 100 is 7700.

(iv) 210, 140, 315 is 1260.

(v) 112, 120, 150 is 8400.

(vi) 144, 180, 300 is 3600.

Learn more about LCM at

brainly.com/question/420337

#SPJ1

7 0
2 years ago
How many total possible outcomes are there in the sample when you are flipping 3 coins: a penny, a nickel, and a dime?
photoshop1234 [79]
8 because when you flip one coin there is 2 outcomes: heads and tails. Therefore if you flip 3 of them it is 2*2*2=8
7 0
3 years ago
A wave emitted from a source has a frequency of 10 Hz and wavelength 2.5 m. How much time will it take to reach a person located
Vesnalui [34]

Time taken to reach a person located 5m from the source is 0.2s

<u>Explanation:</u>

Given:

Frequency, f = 10Hz

Wavelength, λ = 2.5m

Distance, d = 5m

Time, t = ?

We know:

velocity = f X λ

v = 10 X 2.5

v = 25 m/s

We know:

Distance = speed X time

On substituting the value we get:

5 = 25 X t

t = 0.2 seconds

Therefore, time taken to reach a person located 5m from the source is 0.2s

7 0
3 years ago
Read 2 more answers
Please Help!
Paladinen [302]
The slope of the line is

y = -2
3 0
3 years ago
Read 2 more answers
two years local internet service costs $685, including the installation fee of $85. what is the monthly fee?
kari74 [83]
685-85=600 would be 2 years of service. 600/2=300 would be 1 year. 300/12=25 would be 1 month. The monthly fee is $25.
8 0
3 years ago
Other questions:
  • Suppose you have the 26 letters of the alphabet on separate cards in a hat. You pick out a card, write down the letter, put the
    7·1 answer
  • For what value of b do the lines bx+3y=10 and x–2y=4 intersect at a point on the x-axis?
    14·1 answer
  • Which of the lines graphed has a slope of 3 and a y-intercept of 2?​
    8·2 answers
  • What are all of the prime factors of 35?
    11·1 answer
  • According to a report from the United States Environmental Protection Agency, burning one gallon of gasoline typically emits abo
    8·1 answer
  • You have $550 in a savings account that earns 3% simple interest each year. How much will be in your account in 10 years? Pleaze
    7·1 answer
  • Which fraction is equal to 15%
    9·1 answer
  • URGENT!! Trigonometry practice question!!
    7·1 answer
  • I Music at the art museum is divided into six sections that each contain about the same number of tiles there are 2889 tails tot
    6·1 answer
  • 5x⁵x⁸(3.141593)<br>Solve!!!​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!