Hey there!
1^4 + 3(10 - 2)^2
1^4
= 1 * 1 * 1 * 1
= 1 * 1
= 1
1 + 3(10 - 2)^2
= 1 + 3(8)^2
= 1 + 3(8^2)
= 1 + 3(8 * 8)
= 1 + 3(64)
= 1 + 64 + 64 + 64
= 1 + 128 + 64
= 1 + 192
= 193
Therefore, your answer is: 193
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
Cards C and E
Step-by-step explanation:
Remember that irrational numbers cannot be written as a fraction of two integers:
Is 10 irrational? No, because 10 can be written as a fraction (ex. 10/1, 20/2, etc.)
Is 6/5 irrational? No, because it is a fraction.
Is π irrational? Yes, because it can't be written as a fraction as its digits continue infinitely without repetition.
Is 11/4 irrational? No, because it is a fraction.
Is 8.25635... irrational? Yes, because the ellipsis shows the digits continue infinitely without repetition, otherwise there would be a bar over the digits to show repetition
Is -7 irrational? No, because it can be written as a fraction (ex. -7/1, -14/2, etc.)
Is 6.31(bar) irrational? No, because the bar shows that the digits 3 and 1 repeat.
Therefore, only cards C and E are irrational.
Answer:
Step-by-step explanation:
Sine reaches upper bound when 
and then decreases until reaches lower bound when 
. By symmetry, we find the following fact:
By information form table we find that:
Therefore, we conclude that value of the given angle is:
Answer:
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
To solve this, we use ratio.
Firstly, we need to know the number of hours traveled. The total number of hours traveled = x+y
Ratio of this used by high speed train = x/(x +y).
Total distance traveled before they meet = [x/(x + y)] × z
For low speed train = [y/(x + y)] × z.
The difference would be distance by high speed train - distance by low speed train.
= z [ (x - y)/x + y)]
