Answer:
Step-by-step explanation:
<u>Factorize each:</u>
- 6w⁴ = 2*3*w*w*w*w
- 5w³ = 5*w*w*w
GCF = w*w*w = w³
We have to calculate the height of a cylinder : h2 = ( 45 - 2 · 15 )/ 2 = 15 / 2 = 7.5 mm
Volume of the bottom of the hourglass:V = 1/3 r² π h1 + r² π h2 = = 1/3 · 6² · 3.14 · 15 + 6² · 3.14 · 7.5 = = 1/3 · 36 · 3.14 · 15 + 36 · 3.14 · 7.5 = = 565.2 + 847.8 = 1,413 mm³The rate is 10 π mm³/ sec = 31.4 mm³/secTime = 1,413 : 31.4 = 45 sec.Answer: It will take 45 seconds.
Answer:
1890
Step-by-step explanation:
The sum of the terms of this arithmetic sequence is the product of the number of terms and the average of the first and last term.
A1 = 4·1 + 1 = 6
A30 = 4·30 + 1 = 121
The average term in the sequence of 30 terms is (6 + 121)/2 = 63, so the sum of the sequence is ...
30·63 = 1890
Well I cannot tell you the answer but here are the steps to answering this question:
1. Subtraction needs to be 2 fractions with the same denominators so the way to do that is to find the factors and pick any that is the same factors for both numbers (it doesn't matter because whatever one you pick, you will get different answers but equivalent fractions which is still correct)
2. subtract only the numerators (the top number) but NOT the denominators (the bottom number) because if you do that, you will get 0 as the denominator and that gives you a negative number and that is a totally wrong answer
3. The sum is your answer!
hope you understood!
Just tell me if you didn't understand and I can tell you in a different way that is easier for you.
Answer: The Answers are A, and C.
