Answer:
- a(x) = 20 + 0.60x
- domain [0, 50]; range [20, 50]
- maybe
Step-by-step explanation:
a) If x liters are removed from a container with a volume of 50 L, the amount remaining in the container is (50 -x) liters. Of that amount, 40% is acid, so the acid in the container before any more is added will be ...
0.40 × (50 -x)
The x liters are replaced with 100% acid, so the amount of acid that was added to the container is ...
1.00 × (x)
Then after the remove/replace operation, the total amount of acid in the container is ...
a(x) = 0.40(50 -x) +1.00(x)
a(x) = 20 +0.60x . . . . . liters of acid in the final mixture
__
b) The quantity removed cannot be less than zero, nor can it be more than 50 liters. The useful domain of the function is 0 ≤ x ≤ 50. (liters)
The associated range is 20 ≤ a ≤ 50. (liters)
__
c) As we found in part b, the amount of acid in the final mixture may range from 20 liters to 50 liters. So, the percentage of acid in the final mix will range from 20/50 = 40% to 50/50 = 100%. The mixture could be 50% acid, but is not necessarily.
B.32 You get this because a square is perfect, which means it's equal on all sides. So 8x4=32
I will mark brainlist please help
Story : A Dog’s Tale by Mark Twain
4. Read this sentence from the selection.
“Whenever she heard a large word she said it over to herself many times, and so was able to keep it until there was a dogmatic gathering in the neighborhood.”
In this sentence the word dogmatic is used as —
• an insightful simile
• a descriptive metaphor
• a humorous play on words
• an illuminating allusion
5. In the last paragraph the narrator says his mother would “fetch out a long word.” The connotations of the word fetch remind the reader that the narrator’s mother —
• is well educated
• is a dog
• knows lots of big words
• likes to show off
8. What is ironic about the author’s mother showing off with her knowledge of the word unintellectual?
• Her child knew she didn’t understand the word correctly.
• The strangers all already knew the meaning of the word.
• As any intellectual would know, the word should be “nonintellectual.”
• She did not know any synonyms for the word.
9. Which type of person is most like the author’s mother?
• A high-performing student with an excellent memory for words
• A very verbal person who always has a quick answer that sounds good
• A dishonest person who tells lies on a regular basis
• A person who likes dogs a lot and works at a veterinary clinic
Answer:
x is equal to 2
Step-by-step explanation:
2x+4=8
2x=4
x=2
Given
s=16t^2
where
s=distance in feet travelled (downwards) since airborne with zero vertical velocity and zero air-resistance
t=time in seconds after release
Here we're given
s=144 feet
=>
s=144=16t^2
=>
t^2=144/16=9
so
t=3
Ans. after 3 seconds, the object hits the ground 144 ft. below.
