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