The correct answer is: [A]: " 384 in² " .
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Explanation:
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The formula for the surface area of a cube is:
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→ A = 6a² ;
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A = surface area of the cube— for which we shall solve ;
(in "square units" ; or, " in² " ; in our case) ;
a = side length = " 8 in " (given);
→ Note: A cube has all equal side lengths.
→ The "6" in the formula accounts for "6 sides" of a cube.
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→ To solve for the surface area of the cube; plug in our known value(s);
& solve; as follows:
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→ A = 6 a² ;
= 6 * (8 in)² ;
= 6 * 8² * in² ;
= 6 * 8 * 8 * in² ;
= 48 * 8 * in² ;
= 384 in² ;
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The answer is: " 384 in² " ;
→ which is: Answer choice: [A]: " 384 in² " .
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Answer:
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by
where
y is the value of the home
x is the number of years
a is the initial value
r is the rate of change
we have
substitute
Answer:
It's <u>option A. ± </u>√6<u>0</u>
Step-by-step explanation:
x^2 = 60
here ^2 will move to the other side and when it does it'll become a square root to 60.
so, x = √60
now, the answer in its simplified form would be 2√15 and -2√15.
The answer of this square root will be negative as well as positive, so, ±√60.
#1.
[4x = -12y + 16 and x + 3y = 4]
One answer
#2.
Here, y = 4x + 3
y - 4x = 3
Multiply by 2,
2y - 8x = 6
Compare with second equation,
6 ≠ 3
In short, System of Equation does not have any solution. [ Option D ]
#3.
2y=6
3x-6y=18
Divide first equation by 2: y=3
Substitute y=3 into second equation: 3x-6(3)=18
Solve for x: 3x=36 x=12
Therefore there is only one solution: x=12 y=3
#4.
y - 7x = -14
7y - 49x = -2
Rewrite the first equation as "y =" so that it can be substituted into the second equation and solve for x.
y = 7x - 14
7(7x - 14) - 49x = -2
49x - 98 - 49x = -2
-98 = -2
Since the variables cancel and the equation is not true there is no solution.
The lines are parallel and will not intersect.
The equation of the line is y = -7/5x + 56/5
<h3>Equation of a line</h3>
The formula for expressing equation of a line is given as y = mx + b
where
m is the slope
b is the y-intercept
Given the coordinates A(8, 0) and (3, 7)
Determine the slope
Slope =7-0/3-8
Slope = -7/5
For the intercept
0 = -7/5(8) + b
b = 56/5
Hence the equation of the line is y = -7/5x + 56/5
Learn more on equation of a line here:brainly.com/question/22119282
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