5) Step-by-step solution:
Step 1 of 2
Write the numbers (other than dates) in this statement in scientific notation.
The mass of Pluto, the smallest planet, is 0.0021 times that of Earth; The mass of Jupiter, the largest planet, is 317.83 times that of earth.
The first number is 0.0021.
Now move the decimal point to the right of the first nonzero digit and count the number of places it was moved.
The original number (0.0021) was small so the exponent will be .
Therefore, the scientific notation is .
Step 2 of 2
The second number is 317.83.
Now move the decimal point to the right of the first nonzero digit and count the number of places it was moved.
The original number (317.83) was large so the exponent will be .
Therefore, the scientific notation is .
6) Simply move the decimal point 16 places to the right of where it currently is.
9.803 moved three times = 9803.
Then just add 13 zeroes (because 16 minus those first three = 13) to 9803, giving you a final result of 98030000000000000. Then if you wanted to make it pretty on your eyes with commas, it would be 98,030,000,000,000,000.
<span>What you do is just multiply $56.53 by 1.17. That represents 117% (100% for the meal and 17% for the tip).
Hope that helps! You should get $66.1401, but since you cant have a hundredth of a penny, its just $66.14. :)</span>
Answer:
2:1
Step-by-step explanation:
Circle P has radius 14 feet.
The circumference of this circle is given by:
We plug in the radius to get:
Circle Q has diameter 14 feet.
The circumference of this circle is given by
We substitute the diameter d=14 to get,
The ratio of the circumference of P to the circumference of Q is
Answer:
12 fish
Step-by-step explanation:
You need to work this problem backwards. If he caught 30 fish, which was six more than twice the number he caught last year, you would start by subtracting six, leaving you with 24. Then you'd have to divide by 2, because it was twice plus six as many fish, which would give you 12 fish.
= x
= x
12 = x
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (1, 6)
m = 
= 
= 
= 2
