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Evaluate cos(theta)=15/17
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Solution:
Step 1:
Apply the inverse cosine function to both sides to isolate : $… |
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Simplify (x^2+14x+49)/((x+7)^3 square root of x+7)
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Solution:
Simplification Process
Step 1: Apply the perfect square trinomial rule
1. … |
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Solve for x 3( log base 9 of x)^2=6 log base 9 of…
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Solution:
Step 1:
Distribute the exponent across the logarithm. \(3(\log_{9}{x})^2 = 6\lo… |
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Solve the Inequality for x (x-4)/6>=(x-2)/9+5/18
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Solution:
**Step 1:**
Scale up the inequality by multiplying by 18 to eliminate fractions.
$$… |
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Simplify the Radical Expression 3 square root of …
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Solution:
Step:1
Break down each radical term into its simplest form.
Step:1.1
Expr… |
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Evaluate sin(pi/4)-sin(pi/4)
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Solution:
Step 1: Break down each term.
- **Step 1.1**: Determine the precise value of $… |
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Solve Using the Quadratic Formula 2-x^2-x=0
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Solution:
Step 1:
Apply the quadratic formula: .… |
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Simplify ( fourth root of 4)( cube root of 4)
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Solution:
Step 1:
Express the number 4 as . Thus, the expression becomes $\sqrt[4]{… |
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Factor Factor: 2x^2+5x-3
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Solution:
Step 1:
To factor a quadratic equation in the form , identify t… |
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Evaluate (-2-(-2))^2
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Solution:
Step 1:
Calculate the inner expression by adding the opposite of to . … |
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Solve for y natural log of 2y-5+ natural log of 2…
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Solution:
Step 1: Simplify the equation's left-hand side.
- **Step 1.1**: Utilize the lo… |
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Solve for a 4 = cube root of 8a
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Solution:
Step 1:
Express the given equation in the form .
Step … |
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Simplify (x^(1/2)y^-2z^4)/(x^(3/2)y^3z^(3/2))
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Solution:
Step 1:
Apply the negative exponent rule to transfe… |
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Simplify 30 root of 32a^20b^15c^25
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Solution:
Step:1
Express as . Then, consider $\sqrt[30]… |
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Simplify fourth root of (x^2)/(9x)
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Solution:
Simplify the expression:
**Step 1:** Simplify the f… |
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Find the Complex Conjugate -8+ square root of -25
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Solution:
Step 1: Simplify the expression.
- Start by breaking down the complex number i… |
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Subtract 0-3/2
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Solution:
Step 1:
Start by taking away from . This gives us $0 - \frac{… |
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Evaluate 1-1/e
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Solution:
Step 1:
Express the number as a fraction with the same denominator as $\fr… |
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Simplify (4b^3-6b^2-b)÷4b
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Solution:
Step 1:
Express the division as a fraction: .
… |
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Simplify (15x^2+6x)/(3x)*(2x-1)
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Solution:
Step 1: Simplify the expression.
Step 1.1: Extract the common factor fro… |