Is 3 to the 100th power divided by 3 to the 99th power greater than, less than, or equal to 3?
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whenever you divide 2 numbers that are the same and they both have exponent, you basically subract the 2 exponents from each other.
the answer is
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A line is parallel to y=3x +8 and intersects the point (-3,7). What is the equation of this parallel line?
Choose the correct simplification of the expression (−5a5b4c3)0.
Equivalent mixed number for: 21/8 = ?
What are all the common factors of 24 and 44
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Every function associates input values with output values. The domain of a function is the set of all the inputs the function accepts.
You will basically always find your function graphed with the inputs on the horizontal axis and the outputs on the vertical axis. This means that every point on the graph has coordinates , and the domain is the set of all the x values.
The points on your red line have all coordinates , where d starts from 0 and ranges up to 12. So, the domain of the function is
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65 - 26 = 39
answer: 39
Determine the area, in square meters, of the new rectangular garden.
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The square area is expressed as:
A = a²,
where A is the area of the square, and a is the side of the square.
The rectangle area is expressed as:
A₁ = a₁ · b₁,
where A₁ is the area of the rectangle, and a₁ and b₁ are the sides of the rectangle.
After renovations, square garden becomes rectangular.
One side is doubled in length:
a₁ = 2a
The other side is decreased by three meters.
b₁ = a - 3
The new area is 25% than the original square garden:
A₁ = A + 25%A =
= A + 25/100·A
= A + 1/25·A
= a² + 1/25·a²
= a² + 0.25·a²
= 1.25·a²
If the starting equation is:
A₁ = a₁ · b₁
Thus, the equation is:
1.25a² = 2a·(a - 3)
1.25a² = 2a · a - 2a · 3
1.25a² = 2a² - 6a
Therefore, the equation that could be used to determine the length of a side of the original square garden is:
2a² - 6a = 1.25a²
Now, we will solve the equation:
2a² - 6a = 1.25a²
2a² - 1.25a² - 6a = 0
0.75a² - 6a = 0
⇒ a(0.75a - 6) = 0
From here, one of the multiplier must be zero - either a or (0.75a - 6). Since a could not be zero, (0.75a - 6) is:
0.75a - 6 = 0
0.75a = 6
a = 6 ÷ 0.75
a = 8
If the side of the square is 8, then the area of the rectangle is
A₁ = 1.25 · a²
A₁ = 1.25 ·8²
A₁ = 1.25 · 64
A₁ = 80
Therefore, the area of the new rectangle garden is 80 square meters.
Answers
73% of 214.3 is 156.4
The required percentages obtained by calculations is 73. In other words, 73% of approximately 214.7945 is equal to 156.4.
To find 73% of a certain value, we can set up an equation and solve for that value. Let's denote the unknown value as "x".
The equation would be:
0.73 * x = 156.4
To isolate x, we divide both sides of the equation by 0.73:
x = 156.4 / 0.73
Evaluating this expression:
x ≈ 214.7945
Therefore, the required percentages obtained by calculations is 73. In other words, 73% of approximately 214.7945 is equal to 156.4.
Learn more about percentages and calculations here:
#SPJ6
Answers
3/2.
3/2 = 1 1/2.
1 = 100%
1/2 = 50%
1 1/2 = 150%.