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kipiarov [429]
2 years ago
12

Measurements of atoms, such as amounts, distances, and weights, are often very large or very small when compared to measurements

of things you can see or touch. Scientific notation represents numbers as a power of 10. This makes very large or small numbers easier to use and understand. Approximately 7,500,000,000,000 carbon atoms fit across the period that you make with your pencil. Express this number in scientific notation. (PLEASE ANSWER FAST I'LL GIVE BRAINLIEST ALSO PLEASE DO ALL THIS IS WORTH 30 POINTS)
Step 1 Rewrite the number with a decimal after the first nonzero digit.7.500000000000


Step 2 Find the number of places and the direction you moved the decimal. If a number does not show a decimal, the decimal is at the right end of the number.You moved the decimal 12 places to the left.


Step 3 Drop the zeros, and write the number of places you moved the decimal as a power of 10. If you moved the decimal to the right, the power is negative. If you moved the decimal to the left, the power is positive.7.5 × 10 12


Step 4 Reverse the process to change scientific notation back to a whole number. A positive power of 10 moves the decimal to the right. A negative power of 10 moves the decimal to the left.


(Answer 1, 2, 3, 4 and 5 )


1. A sample of gold contains 3,800,000,000,000,000,000 atoms. Express this number in scientific notation.


2. A sample of silver contains 400,000,000,000,000 atoms. Express this number in scientific notation.


3. A sample of carbon has a mass of 0.000000000000000000034 kg. Express this mass in scientific notation.


4. A sample of silicon contains 5.23 × 10^11 atoms. Write this amount as a whole number.


5. The mass of a proton is about 1.67 × 10 -27kg. Write this mass as a whole number
Mathematics
1 answer:
Ainat [17]2 years ago
7 0

Answer:

Step-by-step explanation:

1)3.8 *10¹⁵

2)4.0*10¹⁴

3)30.4*10⁻²⁰

4)523,000,000,000 atoms

5)0.000 000 000 000 000 000 000 000 00167

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4 0
3 years ago
Let u,v,wu,v,w be three linearly independent vectors in R7R7. Determine a value of kk, k=k= , so that the set S={u−3v,v−2w,w−ku}
11Alexandr11 [23.1K]

Answer:

1/6

Step-by-step explanation:

For a set of vectors a, b and c to be linearly dependent, the linear combination of the set of vectors must be zero.

C1a + C2b + C3c = 0

From the question, we are given the set S={u−3v,v−2w,w−ku}, the corresponding vectors are a(0, -3, 1), b(-2,1,0) and c(1,0,-k)

The values in parenthesis are the ccoefficients of w, v and u respectively.

On writing this vector as a linear combination, we will have;

C1(0, -3, 1) + C2(-2,1,0) + C3(1,0,-k) = (0,0,0)

0-2C2+C3 = 0........ 1

-3C1+C2 = 0 ........... 2

C1-kC3 = 0 ….......... 3

From equation 2, 3C1 = C2

Substituting into 1, -2(3C1)+C3 = 0

-6C1+C3 = 0

-6C1 = -C3

6C1 = C3.…..4

Substitute 4 into 3 to have

C1-k(6C1) = 0

C1 = k6C1

6k = 1

k = 1/6

Hence the value of k for the set of vectors to be linearly dependent is 1/6

6 0
3 years ago
Can you help me find the slope! (30 points)
elena-s [515]

Answer:

1/5  

Step-by-step explanation:

change of y over change of x will get you 1.5/7.5 which is 0.2 or 1/5


5 0
3 years ago
Read 2 more answers
Factorise (x+3)²-25<br>help meeeeee​
bearhunter [10]
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4 0
3 years ago
Read 2 more answers
Kenneth wants to sew a tent, including the bottom so that it is entirely enclosed. He has a rectangular piece of canvas with dim
Vadim26 [7]

Based on the calculations, the depth of tent is equal to 12 feet.

<h3>How to calculate the depth of the tent?</h3>

Based on the diagram (see attachment) and information provided, we can logically deduce the following parameters (points):

  • Triangle ABC is an isosceles triangle (AB = AC).
  • The front and back of the triangle are identical triangles.
  • Side AD is perpendicular side BC.
  • CD is the midpoint of BC i.e CD = BC/2 = 6/2 = 3 feet.

Next, we would determine the height of the right-angled triangle (ADC) by applying Pythagorean theorem:

AC² = AD² + DC²

AD² = AC² - DC²

AD² = 5² - 3²

AD² = 25 - 9

AD² = 16

AD = √16

AD = 4 feet.

Also, we would determine the area of the triangle (ABC):

Area = 1/2 × b × h

<u>Where:</u>

  • b is the base area.
  • h is the height.

Substituting the given parameters into the formula, we have;

Area = 1/2 × 6 × 4

Area = 12 feet².

Depth of tent = 3 × height of ADC

Depth of tent = 3 × 4

Depth of tent = 12 feet.

Read more on area of triangle here: brainly.com/question/21917592

#SPJ1

7 0
1 year ago
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