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To solve an inequality, first identify the line's equation in slope-intercept form (y = mx + b). For a dashed line, use '<' or '>' to represent the inequality, and determine the shaded region to finalize your solution.
To solve for y in simple equations like 3y = 27, isolate y by performing the opposite operation. For 3y = 27, divide both sides by 3 to find y = 9.
To solve for y in a linear equation, isolate y by performing inverse operations. For example, in the equation 3y = 27, divide both sides by 3 to find y = 9.
To solve for y in algebra equations, you typically need to isolate y on one side of the equation. Start by undoing any operations applied to y, such as division or multiplication.
Romantic poetry emphasizes strong emotions, nature, and individual imagination. To answer questions about Romantic poetry, look for themes of emotion, nature, and freedom in the provided examples.
Significant figures are essential in math for indicating precision in measurements. To practice, try identifying sig figs in numbers and performing calculations while adhering to sig fig rules.
To write a polite email to your teacher, structure your message clearly and respectfully. Start with a greeting, state your purpose, and ask for confirmation politely.
The highest point of the Andes Mountain Range is Aconcagua, located in Argentina. It reaches approximately 6,962 meters above sea level, making it the tallest mountain in both the Americas and outside Asia.
To calculate net force, sum all forces acting on an object. For example, if you have a 40 N normal force and a 40 N gravitational force, the vertical net force is 0 N. For horizontal forces, subtract any opposing forces.
To calculate molarity, divide the number of moles of solute by the volume of the solution in liters. For example, dissolving 12.6 grams of HNO3 in 0.5 L of water results in a molarity of 0.4 M.
To convert the price of land from CAD to USD per square mile, first convert the price from CAD to USD using the exchange rate, then convert the area from square kilometers to square miles. Finally, divide the USD price by the area in square miles.
To divide numbers in scientific notation, divide the coefficients and subtract the exponents. For instance, dividing 4.8 x 10^0 by 7.65 x 10^5 results in approximately 6.27 x 10^-6.
Derivatives in calculus measure how a function changes as its input changes. They represent the slope of the tangent line at any point on a graph, indicating the instantaneous rate of change.
Perfect tenses in English describe actions that are completed relative to another time. Understanding how to use 'have' and 'had' is crucial for proper sentence formation.
To solve a linear inequality, start by clearly defining your variables. Use substitution to check if your values meet the inequality. For example, with 5y + 10s ≤ 200, substituting y = 6 and s = 8 shows that 110 participants meet the requirement.
To calculate combinations for poker hands, use the formula C(n, k), where n is the total number of items and k is the number chosen. For a 5-card hand from a 52-card deck, the total combinations are C(52, 5).
To make your writing more engaging, use specific and sensory words, incorporate imagery or action, and avoid cliché phrases. This can transform bland sentences into vivid expressions that captivate your audience.
Deflation is a geological process where wind removes fine particles from a surface, leaving heavier objects behind. This leads to a lower, more common surface as lighter materials are blown away.
When dividing decimals with long division, adding a zero to the dividend helps continue the division process when the divisor cannot be divided into the current number. This allows you to find a more precise answer.
To overcome your fear of needles and blood, gradually expose yourself to these triggers while practicing relaxation techniques. Start with less intense images and progress to more realistic scenarios over time.
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