Answer:
25/64
Step-by-step explanation:
To get this answer, first you need to use the distributive property:
(-3/8)(-5/8) - (1/4)(-5/8)
Next, multiply:
15/64 - (-5/32)
Change the negative signs into a positive sign:
15/64 + 5/32
Multiply 5/32 by 2 on both top and bottom:
15/64 + (5)(2)/(32)(2)
You will then get:
15/64 + 10/64
Now, add the numerators. You will get:
25/64
This is your answer. I hope it helped!
Answer:
66
Step-by-step explanation:
The sequence you provided seems to be arithmetic as it increases as 4 each term. Assuming 1 is the first term the equation would be . You could just take the first 6 terms and add them together since you already have 4 values calculated and you could calculate the other 2 by adding 4. This would give you
(1 + 5 + 9 + 13 + 17 + 21) = 66
But there's an easier way to do it. You could use the formula . You can calculate by plugging in those values. You would need to calculate before hand, but you can calculate that using the formula I defined above. Which in general is where d is like the slope, or how much it changes each term. So if you calculate you'll get . Now plug this into the series formula above and you get which is exactly what you get if you add the first 6 terms as shown above when you do it manually.
Answer:
$386
Step-by-step explanation:
If Ann has to pay $2316 twice a year
(every 6 months), then, we calculate
$2316/6 = $386 every month.
Hence, Ann's budget for health
insurance each month is $386.
Hope it helps!
Answer:
9 seconds
Step-by-step explanation:
d=-16t²+vt+h
The water level will be at 0 level (distance = 0)
0 = 16t² - 90t - 486
8t² - 45t - 243 = 0
(t - 9) (8t + 27) = 0
t = 9 or t = -27
since time should be a positive number, so t = 9 second
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