4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ
But 4 = 2² and 8 = 2³
4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ
2²⁽²ˣ ⁺ ⁵⁾ = (2³)³ˣ
Multiply out the powers, also since the
2⁴ˣ ⁺ ¹⁰ = 2⁹ˣ
Since the bases are the same, hence the powers are also the same.
4x + 10 = 9x
4x - 9x = -10
-5x = -10
x = -10/-5
x = 2
Hope this explains it.
There are 12 months in most years.
.. 23%/12 ≈ 1.91667%
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The answer shown in your picture is correct to 2 decimal places.
<h3>3
Answers: Choice D, Choice E, Choice F</h3>
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Explanation:
The inequality 6x - 10y ≥ 9 solves to y ≤ (3/5)x - 9/10 when you isolate y.
Graph the line y = (3/5)x - 9/10 and make this a solid line. The boundary line is solid due to the "or equal to" as part of the inequality sign. We shade below the boundary line because of the "less than" after we isolated for y.
Now graph all of the points given as I've done so in the diagram below. The points in the blue shaded region, or on the boundary line, are part of the solution set. Those points are D, E and F.
We can verify this algebraically. For instance, if we weren't sure point E was a solution or not, we would plug the coordinates into the inequality to get...
6x - 10y ≥ 9
6(5) - 10(2) ≥ 9 .... plug in (x,y) = (5,2)
30 - 20 ≥ 9
10 ≥ 9 ... this is a true statement
Since we end up with a true statement, this verifies point E is one of the solutions. I'll let you check points D and F.
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I'll show an example of something that doesn't work. Let's pick on point A.
We'll plug in (x,y) = (-1,1)
6x - 10y ≥ 9
6(-1) - 10(1) ≥ 9
-6 - 10 ≥ 9
-16 ≥ 9
The last inequality is false because -16 is smaller than 9. So this shows point A is not a solution. Choices B and C are non-solutions for similar reasons.
The answer is 854 for sure. I did the test and got it all right.
Answer:
5 containers high
Step-by-step explanation:
Given that :
Given :
Width = 20 containers
Length = 50 containers
Total containers = 5000
Hence,
Total containers = width * length * height
5000 = 20 * 50 * height
5000 = 1000 * height
Height = 5000 / 1000
Height = 5 containers