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Phoenix [80]
3 years ago
9

A man starts at point zero.He walks forward four paces to point 4. He returns to point zero and continues walking back four more

paces before he stops identify this point

Mathematics
1 answer:
Svet_ta [14]3 years ago
5 0

Answer:

New point will be (-4) or (-4, 0).

Step-by-step explanation:

"A man starts at a point zero".

If we locate this point on a graph we call it origin (0, 0).

"He walks forward four paces to point 4".

Then he reaches the point (4, 0) which is 4 units apart from the origin.

"He returns to the point zero".

That means man comes back to the origin (0, 0) by covering 4 units back.

"He continues walking back for 4 more paces"

That means man doesn't stop at zero and continues walking for 4 paces in the same direction.

On the graph he moves towards the negative direction of the x-axis.

So on graph the new point will be (-4, 0).

In more simpler way he will be at (-4) point.

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The earth has a mass of approximately 6\cdot 10^{24}6⋅10 24 6, dot, 10, start superscript, 24, end superscript kilograms (\text{
Alex_Xolod [135]

Answer:

0.02

Step-by-step explanation:

The volume of the earth's oceans is approximately 1.34\cdot 10^{9}1.34⋅10

9

1, point, 34, dot, 10, start superscript, 9, end superscript cubic kilometers (\text{km}^3)(km

3

)left parenthesis, start text, k, m, end text, cubed, right parenthesis, and ocean water has a mass of about 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\text{km}^3}1.03⋅10

12

 

km

3

kg

​

1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start text, k, m, end text, cubed, end fraction .

To simplify, we will use the product of powers property of exponents that says that x^a\cdot x^b = x^{a+b}x

a

⋅x

b

=x

a+b

x, start superscript, a, end superscript, dot, x, start superscript, b, end superscript, equals, x, start superscript, a, plus, b, end superscript.

\qquad 1.34\cdot 10^{9}\,\cancel{\text{km}^3} \cdot 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\cancel{\text{km}^3}} = 1.3802 \cdot 10^{21}\,\text{kg}1.34⋅10

9

 

km

3

⋅1.03⋅10

12

 

km

3

kg

​

=1.3802⋅10

21

kg1, point, 34, dot, 10, start superscript, 9, end superscript, start cancel, start text, k, m, end text, cubed, end cancel, dot, 1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start cancel, start text, k, m, end text, cubed, end cancel, end fraction, equals, 1, point, 3802, dot, 10, start superscript, 21, end superscript, start text, k, g, end text

Hint #2

Next we want to know what portion of the earth's mass this represents. We have:

\qquad \begin{aligned} \dfrac{\text{mass of the oceans}}{\text{total mass of the earth}} &= \dfrac{1.3802 \cdot 10^{21}\,\text{kg}}{6\cdot 10^{24}\,\text{kg}} \\\\ &= \dfrac{1.3802}{6\cdot 10^{3}} \\\\ &= \dfrac{1.3802}{6000} \\\\ &= 0.0002300\overline{3} \end{aligned}

total mass of the earth

mass of the oceans

​

​

 

=

6⋅10

24

kg

1.3802⋅10

21

kg

​

=

6⋅10

3

1.3802

​

=

6000

1.3802

​

=0.0002300

3

​

To convert this to a percent, we multiply by 100100100, so the oceans represent 0.02300\overline{3}\%0.02300

3

%0, point, 02300, start overline, 3, end overline, percent of the earth's total mass, according to these figures.

Hint #3

To the nearest hundredth of a percent, 0.020.020, point, 02 percent of the earth's mass is from oceans.

6 0
3 years ago
Alexander was offered a job that paid a salary of $24,000 in its first year. The salary was set to increase by 4% per year every
qwelly [4]

9514 1404 393

Answer:

  $129,992

Step-by-step explanation:

The sum of a geometric series is given by ...

  Sn = a1·(r^n -1)/(r -1)

Here, the first term is 24000, and the growth factor r is 1+4% = 1.04. The sum is then ...

  S5 = 24000·(1.04^5 -1)/(1.04 -1) ≈ 129992

The total earned over 5 years was $129,992.

___

A spreadsheet can list the annual salaries and add them up. The salary each year is 1.04 times that of the previous year. That is shown in the attachment.

5 0
3 years ago
Molly bought ten fancy pens for a total of $60. How much did each pen cost
Digiron [165]

Answer:

Duh $6

Step-by-step explanation:

its simple math

7 0
3 years ago
Read 2 more answers
What is 64x^6 + 27 written as a sum of cubes?
Talja [164]

Answer:

(4x² + 3)(16x^{4} - 12x² + 9)

Step-by-step explanation:

A sum of cubes factors as

a³ + b³ = (a + b)(a² - ab + b²)

64x^{6} = (4x²)³ ⇒ a = 4x²

27 = 3³ ⇒ b = 3

Hence

64x^{6} + 27

(4x² + 3)((4x²)² - (4x² × 3) + 3²)

= (4x² + 3)(16x^{4} - 12x² + 9)

7 0
3 years ago
Three times a number, increased by 1, is 25
Olegator [25]
The answer is 8. 
8 x 3 = 24
24 + 1 = 25 
Hope I helped :)
6 0
3 years ago
Read 2 more answers
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