Answer:
Step-by-step explanation:
<h3>#7</h3>
- 5⁵(16²5³)³ = 5⁵(2⁴)³(5³)³ = 5⁵2¹²5⁹ = 5¹⁴2¹²
<h3>#8</h3>
- (8⁴5³/8⁵)² = (5³/8)² = (5³)²/(2³)² = 5⁶ / 2⁶
<h3>#9</h3>
- (5⁸3⁷/5⁴)¹⁰ = (5⁴3⁷)¹⁰ = (5⁴)¹⁰(3⁷)¹⁰ = 5⁴⁰3⁷⁰
<h3>#10</h3>
<u>Multiplying powers with same base:</u>
- Same base with powers added up
<u>Multiplying powers with same exponent but different base:</u>
- Same exponent with bases multiplied
The square meters of the area the oil slick will cover is 9.6 × 10⁶ m².
<h3>What is meant by volume?</h3>
Volume is defined as the amount of three-dimensional space enclosed by a closed surface.
- The liter (L) is the metric system's base volume unit, with several extended volume units also available.
- There are also many metric volume units based on the a cubic length dimension, including such cubic meters or cubic centimeters. Gallons and ounces are examples of imperial volume units.
Now, as per the given question;
First, we determine the entire volume of oil in gallons by multiplying the volume per barrel even by total number of barrels:
15×42 gal = 630 gal
This volume must be converted to square meters:
V = 630 gal × (0.00379 m³/ gal
V = 2.4 m³
The thickness (height) of a oil film in meters is required:
h = 250 nm × (m/10⁻⁹nm)
h = 2.5 × 10⁻⁷m
The surface area of a oil film is calculated by dividing the oil volume by height of the oil film.
A = V/h
A = 2.4 m³/2.5 × 10⁻⁷m
A = 9.6 × 10⁶ m²
Therefore, the area of the oil slick cover is found to be 9.6 × 10⁶ m².
To know more about the volume, here
brainly.com/question/463363
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Answer:
D. 50
Step-by-step explanation:
Multiply the top and bottom number by 10. The bottom number comes out to be 70 and the top number comes out to be 50.
<h3>Answers:</h3>
- Absolute min = -6
- Absolute max = 6
========================================================
Explanation:
The range of x values is 
which means x = -1 is the smallest and x = 1 is the largest possible.
Similarly the smallest y value is y = -1 and the largest is y = 1.
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Plug in the smallest x and y value to get
f(x,y) = x+5y
f(-1,-1) = -1+5(-1)
f(-1,-1) = -6
Therefore, the absolute min is -6
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Now plug in the largest x and y values
f(x,y) = x+5y
f(1,1) = 1+5(1)
f(1,1) = 6
The absolute max is 6
F(x)=2x-4x . This function has no axis of symmetry nor a vertex, it's a linear function, I believe you forgot something to be a quadratic function
