devyy To solve the question of what number is 14 of 12 of 15 of 200, we need to interpret what it means to find ’14 of 12 of 15 of 200.’ Let’s break it down step by step: Step 1: Calculate 12% of 200. This is calculated as follows: 12% of 200 = (12/100) * … Read more
To find the factors of the quadratic expression x² + 4x – 210, we can follow a systematic approach. Here’s how you can do it: Identify the Coefficients: The expression is in the standard form of ax² + bx + c, where: a = 1 (the coefficient of x²) b = 4 (the coefficient of … Read more
Calculating the Volume of a Sphere The formula to calculate the volume V of a sphere is: V = (4/3) × π × r³ In this formula, r represents the radius of the sphere. For a sphere with a radius of 3 inches, we can substitute r with 3: V = (4/3) × π × … Read more
To understand the derivative of an exponential growth function, we first need to define what an exponential growth function is. An exponential growth function typically has the form: f(x) = a * e^(bx) where: a is the initial amount (the value of the function at x = 0), e is the base of natural logarithms … Read more
To factor the quadratic expression 6x² + 11x + 10, we will first look for two numbers that multiply to the product of the coefficient of the quadratic term (6) and the constant term (10), which is 60 (6 * 10 = 60). At the same time, these two numbers must also add up to … Read more
To calculate the circumference of a circle, you can use the formula: C = πd Where: C is the circumference π (pi) is a constant approximately equal to 3.14159 d is the diameter of the circle In this case, the diameter of the circle is given as 22. Plugging this value into the formula gives … Read more
To simplify the expression 17 – 6 × 10 + 2 – 12, we’ll follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). First, identify any multiplication in the expression. In this case, we have … Read more
A pound is a unit of mass commonly used in the United States and other countries that follow the Imperial system of measurement. To understand the conversion between pounds and grams, it is essential to know the specific value of a pound in grams. One pound is equivalent to approximately 453.592 grams. This means that … Read more
To solve the expression 1 * e^0 + 2 * e^1, we first need to evaluate each part of this expression using the properties of the number ‘e’ (Euler’s number, approximately equal to 2.71828). Step 1: Evaluate e^0: The exponent 0 means any number raised to the power of 0 equals 1. Therefore, e^0 = … Read more
To determine the next number in the series 1, 12, 1, 6, 1, 3, 2, 3, let’s analyze the pattern. The series consists of alternating single values and grouped values: The sequence starts with 1. Then, the following element is 12. Next, we return to 1. This is followed by 6. Again, we have 1. … Read more