The solution to the given equation is w = -5
<h3>Solving of expression</h3>
What is an Algebraic Expression? An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations
Given the expression below as shown;
-10w = 50
Divide both sides by -10
-10w/-10 = 50/-10
w = -5
Hence the solution to the given equation is w = -5
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The expanded form of the equation is x^4-24x^3+222x^2-240+960
<h3>Expansion of expression</h3>
Given the expression below;
(x-3)(x-5)(x-7)(x-9)+15
Expand
(x-3)(x-5)(x-7)(x-9) + 15
(x^2-5x-3x+15)(x^2-9x-7x+63) +15
(x^2-8x+15)(x^2-16x+63) + 15
Expand further to have;
x^4-16x^3+63x^2-8x^3+144x^2-504+15x^2-240x+945+15
x^4-24x^3+222x^2-240+960
Hence the expanded form of the equation is x^4-24x^3+222x^2-240+960
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Answer:
8%
Step-by-step explanation:
To find the percent change, we first have to find the amount changed, which is (46000-42500) = 3500. Then, we find what percentage that is of the original amount. Remember that when calculating percentage change, it's important to calculate change with respect to the initial value.
To find the percentage, we can divide 3500 by 42500, and multiply that by 100, resulting in 8 being our nearest whole percent
The surface area is 47.1 sq in.
Step-by-step explanation:
Given,
The height (h) of the coin (cylinder shaped) = 5 inches
The radius (r) = 1.5 inches
To find the surface area of the coin.
We need to find the lateral surface area of the coin.
Formula
The surface area of the coin of radius r and height h is 2πrh.
Now,
Putting the value of h and r and π=3.14 we get,
Area = 2×3.14×1.5×5 sq inches
= 47.1 sq in
Hence, the surface area is 47.1 sq in.
