What’s the circumference of a circle with a radius of 7 inches, rounded to the nearest inch?
To find the circumference of a circle, you can use the formula: C = 2 × π × r Where C is the circumference, π (pi) is approximately 3.14, and r is the radius of the circle. In this case, the radius (r) is 7 inches. Plugging this value into the formula gives: C = […]
What is the range of the function y = x²?
The function y = x² is a quadratic function that represents a parabola opening upwards. To determine the range, we need to understand how the output (y values) behaves as we vary the input (x values). As x takes on any real number (positive, negative, or zero), the value of y will always be non-negative […]
What is the smallest 4 digit number formed using the digits 8301?
The smallest 4-digit number that can be formed using the digits 8301 is 1038. To understand how we arrive at this number, we must arrange the digits in ascending order while keeping in mind the rules of forming a valid 4-digit number. The digits we have are 8, 3, 0, and 1. First, observe that […]
How to Write a Decimal as a Fraction in Simplest Form
To convert a decimal into a fraction in its simplest form, you can follow these steps: Identify the decimal you want to convert. For example, let’s take 0.75. Determine the place value of the decimal. In this case, 0.75 has two digits after the decimal point, which means it is in the hundredths place. Write […]
What is 11 7 as a mixed number?
To express the fraction 11/7 as a mixed number, we start by dividing the numerator (11) by the denominator (7). First, divide 11 by 7. This gives us: 11 ÷ 7 = 1 This tells us that 7 fits into 11 one time. We then multiply: 1 × 7 = 7 Next, we subtract this […]
In the general linear equation y = bx + a, what is the value of b called?
In the general linear equation y = bx + a, the value of b is called the slope of the line. The slope b represents the rate at which the value of y changes for a unit change in x. In simpler terms, it tells us how steep the line is and the direction it […]
How Many ml in a Liter?
A liter is equivalent to 1,000 milliliters (ml). This is a standard measurement used in the metric system, where the prefix ‘milli-‘ denotes one thousandth of a unit. Therefore, when you multiply 1 liter by 1,000, you get 1,000 ml. To put it simply, if you have a 1-liter container, it will hold 1,000 ml […]
What Does It Mean to Round to the Nearest Tenth?
Rounding to the nearest tenth means adjusting a number to make it simpler, while keeping it as close to the original value as possible. When you’re rounding to the nearest tenth, you focus on the digit in the tenths place and look at the digit immediately to its right, which is in the hundredths place. […]
What is 2 to the power of 50?
2 to the power of 50, written mathematically as 250, equals 1,125,899,906,842,624. To understand this, it’s helpful to know what exponentiation means. When we say 250, we are multiplying 2 by itself 50 times: 2 × 2 × 2 × … (50 times) Calculating large powers like this can be impractical by hand, but using […]
Which polynomial has 3x² as a binomial factor?
To find a polynomial that has 3x² as a binomial factor, we can look for a polynomial that can be expressed in the form of (3x²)(Q(x)), where Q(x) is another polynomial. For example, if we choose Q(x) = (x + 1), then we have: 3x²(x + 1) = 3x³ + 3x² Hence, 3x³ + 3x² […]