The complete factorisation of 50a²b⁵ − 35a⁴b³ + 5a³b⁴ is 5a²b³(10b² - 7a² + ab)
<h3>How to factorise?</h3>
Factorisation is the process of writing an expression as a product of two or more common factors.
The expression is written as a product of several factor.
Therefore,
50a²b⁵ − 35a⁴b³ + 5a³b⁴
Hence, the complete factorisation is as follows;
5a²b³(10b² - 7a² + ab)
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Answer:
200 actual miles
Step-by-step explanation:
Find the actual distance by multiplying 50 by 4, since there are 50 miles in 1 inch.
50(4)
= 200
So, there are 200 actual miles between the two cities.
Answer:
Chad had 15 dollars left for gift C.
Step-by-step explanation:
Given:
Chad had total amount = 30 dollars.
Amount spend on gift A = 9 dollars.
Amount spend on gift B = 6 dollars.
To Find:
Amount Left for gift C = ?
Solution:
Total Amount = 30 dollars.
Total number of gifts = 3 i .e Gift A, Gift B , Gift C.
Total amount spend for Gift A and Gift B = Amount spend on gift A + Amount spend on gift B
∴ Total amount spend for Gift A and Gift B = 9 + 6
∴ Total amount spend for Gift A and Gift B = 15 dollars.
Now,
Amount Left for Gift C = Total Amount - Total amount spend for Gift A and Gift B.
∴ Amount Left for Gift C = 30 - 15
∴ Amount Left for Gift C = 15 dollars
To solve this problem and calculate the area of the sphere, you must apply the following formulas:
Formula N° 1:
V=4/3(πr³)
V is the volume of the sphere (V=3,000π m³).
r is the radius.
Formula N° 2:
A=4πr²
A is the area of the sphere.
r is the radius.
As you can see, you don't have the value of the radius "r". So, you must rewrite the Formula N° 1, and clear "r":
V=4/3(πr³)
(3,000)(3)=4πr²
r³=9,000/4π
r=(9,000/4π)<span>^1/3
</span> r=13.1037 m
Then, to calculate the area of the sphere, you must substitute the value of "r" into the Formula N° 2:
A=4πr²
A=4π(13.1037)²
A=2,158 m²
<span>What is the surface area of the sphere to the nearest square meter?
</span>
The answer is: 2,158 m²
