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If you earn $10 per hour and work 40 hours a week, calculating your gross pay is straightforward. Gross pay refers to the total earnings before any deductions, such as taxes or insurance. To find your gross pay for the week, you can simply multiply your hourly wage by the number of hours worked: Gross … Read more

To find the value of sin(37°) * sin(53°) * tan(37°) * tan(53°), we can make use of some trigonometric identities and properties. First, let’s recall that: sin(53°) can be expressed as sin(90° – 37°) = cos(37°) tan(53°) can be expressed as tan(90° – 37°) = cot(37°) Now, substituting these into our expression: sin(37°) * sin(53°) … Read more

To simplify the expression 200 + 200 – 20 – 20, we can follow these steps: Perform the addition: Start by adding the two 200s together. Add: 200 + 200 = 400 Perform the subtraction: Now, subtract 20 from 400. Subtract: 400 – 20 = 380 Subtract again: Then subtract another 20 from 380. Final … Read more

Dividing any number by itself results in 1, provided the number is not zero. Therefore, when we divide 15 by 15, the equation is: 15 ÷ 15 = 1 This means that the result of this division is simply one. Let’s break it down further: Division Basics: Division is one of the four fundamental arithmetic … Read more

To solve this age-related puzzle, let’s break it down step by step. When you were six years old, your sister was half your age, which means she was three years old at that time. This indicates there is a three-year age difference between the two of you—you’re the older sibling. Fast forward to the present: … Read more

To find the value of x in the equation 23x + 14x = 6, we need to start by simplifying the left side of the equation. First, combine the like terms: 23x + 14x = 37x This simplifies our equation to: 37x = 6 Next, to solve for x, we need to isolate it. We … Read more

The area of a circle can be calculated using the formula: A = πr² where A is the area, π (pi) is a constant approximately equal to 3.14, and r is the radius of the circle. To find the area, we first need to determine the radius. The radius is half of the diameter. Given … Read more

The number 16 can be represented using exponents by identifying it as a power of another number. In this case, 16 is a power of 2. This means that 16 can be written as: 16 = 24 This tells us that 2 is multiplied by itself 4 times: 2 × 2 × 2 × 2 … Read more

To translate the function f(x) = 15x upwards by 4 units, you need to adjust the function’s output value. For any function f(x), translating it up by k units involves adding k to the function. In this case, k is 4. So, the translated function can be obtained by adding 4 to the original function’s … Read more

The probability of obtaining three heads in a row when tossing a fair coin can be calculated using the basic principles of probability. When you toss a coin, there are two possible outcomes: heads (H) or tails (T). Therefore, for each toss of the coin, the probability of getting heads is: P(H) = 1/2 Since … Read more