Answer: C) (9x^4-x^3-x)/5
Hey there! I'm happy to help!
We want to put this 0.002 into scientific notation, where you put it as a one digit number multiplied by 10 raised to a certain power.
If we move the decimal to the right 3 times, we will have 2. We will multiply this 2 by to show that it is still equal to 0.002.
So, the mass of the mustard seed is 2×.
Now, we multiply this mustard seed mass by the number of mustard seeds to find the weight of all of the mustard seeds combined.
(2×)×(4.3602×)
Let's round 4.3602 to the nearest whole number, which is 4. We multiply those two together.
2×4=8
And we multiply the two exponents. When multiplying them, you add the numbers in the exponent. -3 and 4 combined gives us 1, and 10 the first power is just 10.
So, a good estimate for the mass of the mustard seeds is 80 grams, which is the same as (2×)×(4×)=8×
Have a wonderful day! :D
Answer:
The polar coordinates is (3√5 , 333.4°) OR (3√5 , 5.82 rad)
Step-by-step explanation:
The polar form of the Cartesian coordinates (x , y) is (r , Ф), where
-
- Ф =
The Cartesian coordinates is (6 , -3)
That means the point lies in the fourth quadrant because the x-coordinate is positive and the y-coordinate is negative, so Ф will be equal [2π - ] (neglect the negative sign of y-coordinate)
∵ x = 6 and y = -3
∵ r > 0
∵
- Substitute x and y in the rule of r
∴
∴
∴
∴
Now let us find Ф
∵ 0 ≤ Ф < 2π
∴ Ф = 2π -
- Neglect the negative sign of the y-coordinate
∴ Ф = 2π -
∴ Ф = 333.4° OR Ф = 5.82 radiant
∴ The polar coordinates is (3√5 , 333.4°) OR (3√5 , 5.82 rad)
4.333333333333333 yards =
156 inches