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boyakko [2]
3 years ago
5

Perpendicular Vectors:

Mathematics
1 answer:
klemol [59]3 years ago
3 0
1.
v x w = 8 i - 24 j + 15 k + 10 j - 12 i - 24 k =
= - 4 i - 14 j - 9 k
Answer: D )
2.
v x w = -16 i - 16 j - 18 k + 12 j + 48 i - 8 k =
= 32 i - 4 j - 10 k
Answer: C )
3.
The cross product:
< - 6, 7, 2 > x < 8, 5, -3 > =
= - 21 i + 16 j - 30 k - 18 j - 10 i - 56 k =
= - 31 j - 2 j - 86 k = < - 31, - 2, - 86 >
Vectors are perpendicular if: cos ( u, v ) = 0
< - 6 , 7. 2 > * < -31, - 2, - 86 > = 186 - 14 - 172 = 0
< 8, 5 , - 3 > * < - 31, - 2, - 86 > = -248 - 10 + 258 = 0
Answer: A ) < - 31, - 2 , - 86 >,  yes.
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Stella divides 12/8 on her calculator and gets 1.5. Assuming that Stella has not adjusted the calculator's settings, what do the
Romashka [77]

Stella divided 12/8.

If we divide 12 by 8, we get exactly 1.5.

Let us check given options one by one .

A) Stella made an error : Stella didn't made an error because it's just division of two numbers.

B) The answer is exactly 1.5.  : On dividing 12 by 8, we get exactly 1.5, so this option is correct.

C) The calculator rounded the answer. : On dividing 12 by 8, we get exactly 1.5. So, no rounding is required.

D) The calculator truncated the answer. : On dividing 12 by 8, we get exactly 1.5. So, no truncation in the answer.

Therefore, correct option is B) The answer is exactly 1.5.

6 0
3 years ago
You're a manager of a hotel. You want to achieve the higest level of service. For 7 days, you collect data on the readiness of 2
pochemuha
I'm going to get back to you after I answer this
8 0
3 years ago
Rafiq compares the
Furkat [3]

Answer:

Hey there!

Rafiq's error was that the other number is also changing. He had 4 x 8 and if he had 8 x 8, that would be twice as much, but he used 8 x 12 instead, and  12 is not 8.

Let me know if this helps :)

5 0
3 years ago
Doña Mercedes' debt can be paid in 32 weeks, as long as $ 50 is paid in the first week, $ 80 in the second week, $ 110 in the th
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8 0
3 years ago
Find the simple interest earned to the nearest cent for each principal, interest rate, and time.
Y_Kistochka [10]

Answer:

Interest earned at 3.9 percent rate is $31.2

Interest earned at 2 percent rate is $5.8

Step-by-step explanation:

A = P(1 + rt)

Where 'A' is the amount, 'r' is the rate and 't' is the time in years

When;

P = $1200

r = 3.9%

t = \frac{8}{12} years

Then,

A = $1200(1 + 0.039(\frac{8}{12}))

A = $1200 + $31.2 = $1231.2

Interest = Amount - Principal

Interest earned at 3.9 percent rate is $1231.2 - $1200 = $31.2

When;

P = $580

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t = \frac{6}{12} years

Then,

A = $580(1 + 0.02(\frac{6}{12}))

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Interest earned = Amount - Principal

Interest earned at 2 percent rate = $585.8 - $580 = $5.8

4 0
3 years ago
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