Mt. Everest, the highest elevation in Asia, is 29,028 feet above sea level. The Dead Sea, the lowest elevation, is 1,312 feet below sea level. What is the difference between these two elevations?
To find the difference between the elevations of Mt. Everest and the Dead Sea, we need to subtract the elevation of the Dead Sea from the elevation of Mt. Everest.
29,028 feet - (-1,312 feet) = 29,028 feet + 1,312 feet = 30,340 feet.
Therefore, the difference between the elevations of Mt. Everest and the Dead Sea is 30,340 feet.
A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position?
To find the submarine's new position, we need to add the change in elevation (250 feet) to its initial depth (-800 feet).
-800 feet + 250 feet = -550 feet.
Therefore, the submarine's new position is 550 feet below sea level.
Maggie owes the candy store $35. Each of 5 friends will help her pay off her debt. How much will each friend pay?
To find out how much each friend will pay, we need to divide the total debt ($35) by the number of friends (5).
$35 / 5 friends = $7 per friend.
Therefore, each friend will pay $7 to help Maggie pay off her debt.
simplify and write answer in exponential notation using positive exponents
3^9+3^9
To simplify the expression 3^9 + 3^9, we are adding two terms with the same base, 3, and different exponents, 9.
When adding terms with the same base, we keep the base the same and add the exponents:
3^9 + 3^9 = 3^(9 + 9) = 3^18
Therefore, the simplified expression, written in exponential notation with positive exponents, is 3^18.
-7u-2=33
To solve the equation -7u - 2 = 33, we want to isolate the variable u on one side of the equation. Let's solve it step by step:
First, we can start by moving the constant term (-2) to the other side of the equation by adding 2 to both sides:
-7u - 2 + 2 = 33 + 2
Simplifying, we get:
-7u = 35
Next, we can divide both sides of the equation by -7 to solve for u:
(-7u) / -7 = 35 / -7
Simplifying further:
u = -5
Hence, the solution to the equation is u = -5.
-16/10=x/5
To solve the equation -16/10 = x/5, we can cross multiply.
First, multiply 5 on both sides of the equation:
5 * (-16/10) = 5 * (x/5)
Simplifying:
-80/10 = x
Further simplification gives:
-8 = x
Thus, the solution to the equation is x = -8.
Express this number in scientific notation.
9 ten thousandths
To express 9 ten thousandths in scientific notation, we need to move the decimal point 4 places to the left to make it greater than or equal to 1 and less than 10. This gives us:
9 ten thousandths = 0.0009
In scientific notation, this can be represented as:
0.0009 = 9 x 10^(-4)
Express this number in scientific notation.
78 million
To express 78 million in scientific notation, we need to move the decimal point to the right after the first significant digit, which in this case is 7.
78 million = 7.8 x 10^7
Express this number in scientific notation.
96,470,000
To express 96,470,000 in scientific notation, we first need to move the decimal point so that there is only one non-zero digit to the left of the decimal point. In this case, we can achieve that by moving the decimal point 7 places to the left:
96,470,000 = 9.647 × 10^7
express in scientific notation
53,010,000
To express 53,010,000 in scientific notation, we need to move the decimal point so that there is only one non-zero digit to the left of the decimal point. In this case, we can achieve that by moving the decimal point 7 places to the left:
53,010,000 = 5.301 × 10^7
standard notation
8.235×10 ^−4
To express 8.235×10^−4 in standard notation, we need to evaluate the expression with the exponent.
8.235 × 10^−4 = 0.0008235
scientific notation
0.0002077
To express 0.0002077 in scientific notation, we need to move the decimal point to the right so that there is exactly one non-zero digit to the left of the decimal point. This can be achieved by moving the decimal point 4 places to the right:
0.0002077 = 2.077 × 10^(-4)
standard form
1.588×10 ^−1
To express 1.588×10^−1 in standard form, we need to evaluate the expression.
1.588 × 10^−1 = 0.1588
scientific notation
52 thousandths
To express 52 thousandths in scientific notation, we need to move the decimal point so that there is only one non-zero digit to the left of the decimal point. In this case, we can achieve that by moving the decimal point 3 places to the left:
52 thousandths = 0.052
In scientific notation, this can be represented as:
0.052 = 5.2 × 10^(-2)
scientific notation
0.3643
To express 0.3643 in scientific notation, we need to move the decimal point so that there is only one non-zero digit to the left of the decimal point. In this case, we can achieve that by moving the decimal point 2 places to the right:
0.3643 = 3.643 × 10^(-1)
standard form
9.647×10^7
To express 9.647×10^7 in standard form, we need to evaluate the expression with the exponent.
9.647 × 10^7 = 96,470,000
scientific notation
245,600,000,000
To express 245,600,000,000 in scientific notation, we need to move the decimal point so that there is only one non-zero digit to the left of the decimal point. In this case, we can achieve that by moving the decimal point 11 places to the left:
245,600,000,000 = 2.456 × 10^11