Subtract 15 from 13. Multiply this difference by 2. Raise this product to the fourth power.
First, subtract 15 from 13: 13 - 15 = -2
Next, multiply the difference by 2: -2 * 2 = -4
Then, raise this product to the fourth power: (-4)^4 = 256
So, the final answer is 256.
(6.4 × 10^7)(5 × 10^-4)
To multiply numbers in scientific notation, you can multiply their coefficients and add the exponents.
Multiply the coefficients: 6.4 * 5 = 32
Add the exponents: 7 + (-4) = 3
The final result is 32 * 10^3 or 3.2 × 10^4.
Of the 500 urban residents polled about gardening, 108 replied that they plant a garden. What fractional part of those polled, expresses in lowest terms, plant a garden?
To find the fractional part of urban residents who plant a garden, we divide the number of people who plant a garden (108) by the total number of people polled (500).
The fraction is 108/500.
To express this fraction in lowest terms, we can simplify it by finding the greatest common divisor (GCD) of the numerator and denominator.
In this case, the GCD of 108 and 500 is 4.
Dividing both the numerator and denominator by 4, we get:
108/4 = 27
500/4 = 125
So, the fraction in lowest terms is 27/125.
Approximately 5 × 10^3 employees of a certain company average $30,000 each year in salary. Write the total amount earned by all the employees of this company per year in scientific notation.
To find the total amount earned by all the employees of the company per year, you can multiply the average salary by the number of employees.
$30,000 × 5 × 10^3 = $150,000,000.
In scientific notation, this is represented as $1.5 × 10^8.
The world population of a certain species is evaluated at 2.8 × 10^7. By some projections, this population will be 5 times more important in 30 years. Express the population at that time in scientific notation.
To calculate the projected population in 30 years, we need to multiply the current population by 5.
2.8 × 10^7 * 5 = 14 × 10^7
To express this in scientific notation, we can convert 14 to 1.4 and increase the exponent by 1:
1.4 × 10^8
Therefore, the projected population in 30 years is 1.4 × 10^8.
scientific notation (230,000,000)(2,000,000,000)
To multiply numbers in scientific notation, you can multiply their coefficients and add the exponents.
In this case, we have (230,000,000)(2,000,000,000).
The coefficients are 230,000,000 and 2,000,000,000.
The exponents are both 0 in this case.
Multiply the coefficients: 230,000,000 * 2,000,000,000 = 4.6 × 10^17.
So, the result in scientific notation is 4.6 × 10^17.
An experiment calls for cooling a mixture to -11°F, then increasing the temperature 80 degrees. What is the final temperature the experiment is to obtain?
To find the final temperature, you can add the change in temperature (80 degrees) to the initial temperature (-11°F).
-11°F + 80°F = 69°F.
Therefore, the final temperature the experiment is to obtain is 69°F.