The equation h(t)=−16t2+19t+110 gives the height of a rock, in feet, t seconds after it is thrown from a cliff. What is the init
2 answers:
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Answer:
A's mixture is more acidic.
Step-by-step explanation:
Given:
Two friends mix water and citric acid.
One (Let A) add 3 cups of citric acid for every 16 cups of water and another (Let B)adds 2 cups of citric acid for every 12 cups of water.
Now, we have to find that whose mixture is more acidic means:-
Solution:
A add 3 cups of citric acid for every 16 cups of water, the ratio =
B adds 2 cups of citric acid for every 12 cups of water =
Now, to find that who mix more citric acid in the mixture, firstly we will equalize the denominator of both fraction by taking LCM so that can be compare easily.
LCM of 16 and 12:- <u>48</u>
16 - 16, 32, <u>48</u>, 64, 80, 96....
12 - 12, 24, 36, <u>48, </u>60, 72.......
For friend A -
For friend B -
<em>We found that in terms of 48 cups of water, friend A mixes 9 cups of acid while friend B mixes 8 cups of acid, means A is adding more acid than B and</em> hence friend A's mixture is more acidic.
Answer:
3 weeks
Step-by-step explanation:
create a proportion of grass growth rate over time:
(÷1) = (
÷x )
=
cross-multiply:
28x = 84
x = 84/28 which is 3
Using the Fundamental Counting Theorem, it is found that there are 416,520 ways to fill out a lottery ticket.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- First, one uppercase or lowercase letter is chosen, there are 26 of each, hence
.
- Then, two different two-digit numbers are chosen, and there are 90 of them, hence
, as the third digit has to be different of the second.
Then:
There are 416,520 ways to fill out a lottery ticket.
To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/24314866