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Nataly [62]
3 years ago
10

There is an average of 3.5×10−2 kilograms of dissolved salt in each liter of seawater. The South China Sea contains approximatel

y ​ 9.88×1018 ​ liters of seawater. How many kilograms of dissolved salt are in the South China Sea? Enter your answer, in scientific notation, in the boxes.

Mathematics
1 answer:
damaskus [11]3 years ago
4 0

Answer:

3.458×10¹⁷ kg

Step-by-step explanation:

(3.5×10⁻² kg/L) × (9.88×10¹⁸ L) = (3.5×9.88) × 10⁽⁻²⁺¹⁸⁾ kg

... = 34.58×10¹⁶ kg

... = 3.458×10¹⁷ kg

_____

<em>Comment on significant digits</em>

It would be appropriate to round the answer to 2 significant digits, matching the number of significant digits in the least-precise factor. Then the answer would be 3.5×10¹⁷ kg.

_____

<em>Comment on scientific notation problems</em>

Your scientific calculator can show results in scientific notation.

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Determine whether the relation is a function. Explain why or why not.
Oksi-84 [34.3K]

Answer: THE ANSER IS A. No, the domain value 5 corresponds to two range values, -8 and 5.

Find the domain and range.

Domain:

{ 6 ,  5  , 1 }

Range:

{ − 7 ,  − 8  , 4  , 5 }

Step-by-step explanation: IT'S NOT C OR D

Determine if the relation is a function.

The relation is not a function.

7 0
3 years ago
Calculate the perimeter and area of the triangle formed by the coordinates K (-4,-1) ,L(-2, 2), and M (3,-1).
Y_Kistochka [10]

Perimeter = 16.4 units

Using the heron's formula, Area ≈ 10.4 units².

<h3>What is the Heron's Formula?</h3>

The heron's formula is used to find the area of a triangle with known side lengths of all its three sides, a, b, and c. The heron's formula is given as: Area = √[s(s - a)(s - b)(s - c)], where s = half the perimeter of the triangle

s = (a + b + c)/2.

Given the following:

K (-4,-1) ,

L(-2, 2),

M (3,-1)

Use the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to find KL, LM, and KM.

KL = √[(−2−(−4))² + (2−(−1))²]

KL = √13 ≈ 3.6 units

LM = √[(−2−3)² + (2−(−1))²]

LM = √34 = 5.8 units

KM = √[(−4−3)² + (−1−(−1))²]

KM = √49 = 7 units

Perimeter = 3.6 + 5.8 + 7 = 16.4 units

Semi-perimeter (s) = 1/2(16.4) = 8.2 units

KL = a ≈ 3.6 units

LM = b = 5.8 units

KM = c = 7 units

s = 8.2

Plug in the values into √[s(s - a)(s - b)(s - c)]

Area = √[8.2(8.2 - 3.6)(8.2 - 5.8)(8.2 - 7)]

Area = √[8.2(4.6)(2.4)(1.2)]

Area = √108.6336

Area ≈ 10.4 units²

Learn more about heron's formula on:

brainly.com/question/10713495

#SPJ1

8 0
1 year ago
Eric made a scale drawing of the auditorium. The stage, which 15 35 feet wide in real life,
Molodets [167]
Based on the given conditions, formulate: 5/35
Simplify by dividing by dividing the numerator and denominator by 5: 1/7

Therefore the scale of the drawing is 1/7
7 0
2 years ago
The mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructo
Nikolay [14]

Answer:

The probability of choosing a professor or an instructor is 47.22%.

Step-by-step explanation:

Given that the mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructors, if a faculty member is selected, to find the probability of choosing a professor or an instructor the following calculation must be performed:

11 + 12 + 7 + 6 = 100

11 + 6 = X

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17 = X

17 x 100/36 = X

1700/36 = X

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8 0
3 years ago
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zalisa [80]

Answer:

73

Step-by-step explanation:

3 0
3 years ago
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