Answer:
The square roots of 400 are 20 and -20.
Step-by-step explanation:
You can try the offered answers to see if they square to give 400:
(-40)² = 1600 . . . . -40 is not a square root of 400
(-20)² = 400 . . . . -20 is a square root of 400
20² = 400 . . . . . 20 is a square root of 400
40² = 1600 . . . . 40 is not a square root of 400
_____
The second degree equation ...
x² = 400
will have exactly two solutions, as required by the fundamental theorem of algebra. Those solutions are both given above. There are no other square roots of 400, real or complex.
Answer:
20th: 100 nth: 5
Step-by-step explanation:
the table is multiplying by 5
so 5 × 20 = 100
Answer: 43.5
Step-by-step explanation:
1/4 < p
First, re-arrange the inequality. It will be easier if you keep the variable on the left. Here, after re-arranging, the inequality will look like this:
p > 1/4
The graph is pretty simple. First, you should be able to determine if the line should be dotted or solid. If it has > or < symbol then it will be a dotted line. If it has ≥ or ≤ symbol, it will have solid line. Here, p > 1/4 will have a dotted line.
Now, graph the function. At this point, you need to disregard the >, <, ≥, or ≤ symbol. Just put = sign and graph it. For example, at this point, p > 1/4 will be seen as p = 1/4. and then graph it.
Now, you need to shade the correct side of the graph. For this step, if you have > or ≥ , then shade the upward section of the graph. If you have < or ≤, then shade the downward section of the graph. And you are done!
<u>I have attached some pictures to help you with this...be sure to check those!</u>
Answer: See below
Step-by-step explanation:
14) 26/52 of the cards are red, 1/2
15) All of the cards are red or black, 1/1
16) 4/52 of the cards are aces, 1/13
17) 12/52 of the cards are J/Q/K, 3/13
Convert the fractions to whatever unit is needed.