What are the next three terms in the sequence 2, -4, 8, -16, 32, ...? A. -128, 256, -512 B. 160, 320, 640 C. 160, -320, 640 D. -
miv72 [106K]
Common ratio is -2
next 3 terms :
32 * -2 = -64
-64 * -2 = 128
128 * -2 = -256
answer is D
Answer:
The first one.
Step-by-step explanation:
To find the volume of the figure, you need to remember the formula V=LWH (Volume= Length times width times height). The first one accurately represents the formula, therefor the first one is the correct answer.
Answer:
x³ - (√2)x² + 49x - 49√2
Step-by-step explanation:
If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.
x = -7i is one root,
(x + 7i) = 0 is the factor
x = 7i is one root
(x - 7i) = 0 is the factor
x = √2 is one root
(x - √2) = 0 is the factor
So the factors are...
(x + 7i)(x - 7i)(x - √2) = 0
Multiply these out to find the polynomial...
(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²
Which simplifies to
x² - 49i² since i² = -1 , we have
x² - 49(-1)
x² + 49
Now we have...
(x² + 49)(x - √2) = 0
Now foil this out...
x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0
x³ + (√2)x² + 49x - 49√2
$91 because 10% of 70 is $7 and 20% of 70 is $14 so 7+14+70= $91
Answer:
380 feet below sea level.
Step-by-step explanation:
Given:
A submarine is is 250 feet below sea level.
It descended another 130 feet.
Question asked:
How many feet below sea level is the submarine now?
Solution:
A submarine is initially below the sea level = 250 feet
Another descend below the sea level = 130 feet
Now, we have to calculate the final level of submarine below the sea level and for it we will simply add initial level to the another descended depth:-
250 feet + 130 feet = 380 feet.
Therefore, submarine is now 380 feet below sea level.
