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blsea [12.9K]
3 years ago
14

There is an average of 3.5 x 10^−2 kilograms of dissolved salt in each liter of seawater. The Pacific Ocean contains approximate

ly ​ 6.6 × 10^20 ​ liters of seawater. About how many kilograms of dissolved salt are in the Pacific Ocean? Enter your answer, in scientific notation, in the boxes. __×__10 kg

Mathematics
2 answers:
nalin [4]3 years ago
7 0
The answer is: 
___________________________________________
   " 2.3 * 10^(19) "  kg  {dissolved salt in the Pacific Ocean} .
__________________________________________________
Explanation:
_____________________________
3.5 * 10⁻² * 6.6 * 10⁽²⁰⁾  = ? kg dissolved salt in the Pacific Ocean.
______________________________________________________
→ 3.5 * 10⁻² * 6.6 * 10⁽²⁰⁾  = 3.5 * 6.6 * 10⁻² * 10²⁰⁾ ;
___________________________________________
Note the following property of exponents:
___________________________________________
xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;  so;  10⁻² * 10²⁰ = 10⁽⁻² ⁺ ²⁰⁾ = 10⁽ ¹⁸ ⁾ ;

→ So; we can rewrite our expression as:
___________________________________________
  3.5 * 6.6 * 10⁽ ¹⁸ ⁾ ;

→ Note: 3.5 * 6.6 = 23.1 ---> Round to 2 (two) significant figures:  23 ;

Answer:  23 * 10⁽ ¹⁸ ⁾ ;  to write in scientific notation; write the "whole number" as: "2.3" (a single digit, whole number integer, followed by a decimal", and adjust the exponent following the "10" accordingly, to make the value equal; and we have:
__________________________________________________ 
   " 2.3 * 10^(19) "  kg {dissolved salt in the Pacific Ocean} .
__________________________________________________
IgorC [24]3 years ago
3 0
This is the answer check it out

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densk [106]
C=2x Pi x R so 2x3.14x17.5 = 109.9
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3 years ago
An Ontario lottery has the following structure, the first person drawn from the names wins $15 000. Each subsequent person drawn
elixir [45]
  • The first four terms are : 15000, 14850, 14700, 14550
  • a = 15000 ; d = -150
  • The explicit formula is : a_{n} =  - 150n \:  + 15150

The first term of the sequence, a = 15,000

Each subsequent winner gets $150 less

Hence, the common difference, d = - $150

The first four terms :

First term, a1 = $15000

Second term, a2 = a - d = $15000 - $150 = $14850

Third term, a3 = a2 - d = $14850 - $150 = $14700

Fourth term, a4 = a3 - d = $14700 - $150 = $14550

a, for the sequence is the first term = $15000

d, for the sequence is the common $150 (difference between successive wins).

Explicit formula for the general term :

a_{n} \:  = nd \: + c

For n = 1

15000 = 1( - 150)  + c

15000 =  - 150 + c

c = 15150

Hence, the explicit formula for the nth term is :

a_{n} \:  =  - 150n \:  + 15150

Learn more : brainly.com/question/12006170

3 0
3 years ago
A principal of $1800 is invested at 8.5% interest, compounded annually. How much will the investment be worth after 11 years?
posledela
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2 years ago
What is the 18th term of the arithmetic
Irina18 [472]

Answer:

J

-66

Step-by-step explanation:

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d = - 4

a18  =  a1 + (n - 1) * d

a18 = 2 + (18 - 1)*(-4)

a18 = 2 + 17*-4

a18 = 2 - 68

a18 = -66

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3 years ago
Which does not show a direct variation between x and y?
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A direct variation is a mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. In other words, a direct variation is where y = x * (constant).

In answer a, y = x*.5, so it is a direct variation.
In answer c, y = x* \frac{1}{9}, so it is a direct variation.
In answer d, y = x*2, so it is a direct variation,

Only answer b is left, which means the answer must be 'b'. 

We also know 'b' is the answer because it cannot be expressed as <span>y = x * (constant). Instead, it is expressed as </span>y =  \frac{constant}{x}, which is not the same thing and is therefore not a direct variation.

Hope I helped, and let me know if you have any questions :)
8 0
3 years ago
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