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3 years ago

The jet airplane flew about 12 what is the unit

2 answers:

6 0

There is no unit, you did not specify if the plane flew 12 seconds an hour, maybe it could be 60 miles a second? You need to tell the rate.

guajiro [1.7K]3 years ago

6 0

Maybe 12 miles an hour, you didn't tell the rate so it's hard to answer your question

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Solve by completing the square. x2^+8x= -20

Schach [20]

Step-by-step explanation:

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3 years ago

emmasim [6.3K]

Answer:

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Step-by-step explanation:

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Find the smallest positive $n$ such that \begin{align*} n &\equiv 3 \pmod{4}, \\ n &\equiv 2 \pmod{5}, \\ n &\equiv

Alex777 [14]

4, 5, and 7 are mutually coprime, so you can use the Chinese remainder theorem right away.

We construct a number $x$ such that taking it mod 4, 5, and 7 leaves the desired remainders:

$x=3\cdot5\cdot7+4\cdot2\cdot7+4\cdot5\cdot6$

Taken mod 4, the last two terms vanish and we have

$x\equiv3\cdot5\cdot7\equiv105\equiv1\pmod4$

so we multiply the first term by 3.

Taken mod 5, the first and last terms vanish and we have

$x\equiv4\cdot2\cdot7\equiv51\equiv1\pmod5$

so we multiply the second term by 2.

Taken mod 7, the first two terms vanish and we have

$x\equiv4\cdot5\cdot6\equiv120\equiv1\pmod7$

so we multiply the last term by 7.

Now,

$x=3^2\cdot5\cdot7+4\cdot2^2\cdot7+4\cdot5\cdot6^2=1147$

By the CRT, the system of congruences has a general solution

$n\equiv1147\pmod{4\cdot5\cdot7}\implies\boxed{n\equiv27\pmod{140}}$

or all integers $27+140k$ , $k\in\mathbb Z$ , the least (and positive) of which is 27.

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3 years ago

The product of two 2-digit factors whose product is greater than 200 but less than 600

IRINA_888 [86]

10 × 30 = 300
(20 characters thing)

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3 years ago