<h3>
Answer: 8p^3 + 10p^2 + 14p</h3>
Explanation:
The outer term 2p is distributed among the three terms inside the parenthesis. We will multiply 2p by each term inside
2p times 4p^2 = 2*4*p*p^2 = 8p^3
2p times 5p = 2*5*p*p = 10p^2
2p times 7 = 2*7p = 14p
The results 8p^3, 10p^2 and 14p are added up to get the final answer shown above. We do not have any like terms to combine, so we leave it as is.
For Question 3,
15 ?
__ = ____
120 100
120?=1500
1500/120=12.5
?=12.5%
Question 4
I think it is $462.80
Answer: The correct option is
(D) {3, 10, 17, 24, …}.
Reasoning:
We are given to select the sequence that represents the following function with a domain of natural numbers :
The set of natural numbers is {1, 2, 3, 4, . . .}
to find the sequence, we need to substitute x = 1, 2, 3, 4, . . . in equation (i).
From equation (i), we get
Therefore, the sequence that represents the given function is {3, 10, 17, 24, …}.
Thus, option (D) is CORRECT.
Answer:
- <em>0.75</em><em> liters of 5% hydrochloric acid solution </em>
- <em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>
Step-by-step explanation:
Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.
As Rajan need total of 1 liter of solution, so
i.e
--------------------1
As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

i.e
-------------2
Putting value of x from equation 1 in equation 2,





Putting the value of y in equation 1,

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.
<u>4(x + 2) + 3 >= 27</u>
4x + 8 + 3 >= 27
4x + 11 >= 27
4x >= 16
<u>x >= 4</u>