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inna [77]
3 years ago
15

Which of the following is two-dimensional and infinitely large

Mathematics
1 answer:
denis-greek [22]3 years ago
8 0
A plane has two dimensions and extends infinitely in both dimensions.
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A rational number is such that when you multiply it by 5/2 and add 2/3 to the product, you get 7/12. What is the number?
Afina-wow [57]

Answer:A rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/12 . What is the number.

Step-by-step explanation:Let p/q (q ≠ 0) denote the rational number. Multiplying it by 5/2 gives (p/q)(5/2). Add 2/3 to the product and we get (p/q)(5/2) + 2/3 . The result is given to be -7/12.

∴ (p/q)(5/2) + 2/3 = -7/12 …………………………..……………………………………..(1)

Transposing 2/3 to right-hand-side and changing the sign to negative,

(p/q)(5/2) = -2/3 -7/12 = -(2/3 + 7/12) =- (2 x 4 + 7)/12 (Taking L.C.M.)

Or, (p/q)(5/2) = -(8+7)/12 = - 15/12

Multiplying both sides by 2/5,

(p/q)(5/2) x (2/5) = -15/12 . 2/5 = -(3x5)/(3x4) . 2/5 =- 5/4 .2/5

Since 2/5 is the multiplicative inverse of 5/2, 5/2 x 2/5 = 1 and we obtain

(p/q).1 = -1/4 . 2/1 = -1/2

⇒ p/q = -1/2 which is a negative rational number in which p = 1 and q = 2 ≠ 0 .

∴ the rational number = -1/2

3 0
2 years ago
If |u| = 10, |v| = 8, and the angle formed between them is 60°, then u · v = ?
Gre4nikov [31]
U . v  = |u| . |v| cos 60   = 10 * 8 * 0.5 = 40   This is called the scalar (or dot) product.
5 0
3 years ago
You roll a 6-sided die.
Lerok [7]

Answer:

\huge\boxed{\text{P(not factor of 35) = } \frac{2}{3}}

Step-by-step explanation:

We can use basic probability to find the probability that this roll is not a factor of 35.

First off, we know that with a six sided die there are 6 possible things we can roll.

1, 2, 3, 4, 5, or 6

Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.

  • We know 1 \cdot 35 = 35, so two factors are 1 and 35.
  • We know 5 \cdot 7 = 35, so two factors are 5 and 7.

Therefore, the factors of 35 are 1, 5, 7, 35.

Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be  \frac{2}{6} = \frac{1}{3} since there are two factors and 6 possible options.

This means, logically, there is a  \frac{4}{6} = \frac{2}{3}  chance of not rolling a factor of 35.

Hope this helped!

5 0
2 years ago
5x-y>4 how to solve this one​
Allushta [10]

If you want me to solve for "Y" then, the answer will be,

y  < 5x - 4

ir if you want me to solve for "X" instead then the answer will be,

x >  \frac{4 + y}{5}

3 0
2 years ago
Is there a mistake in this equation? if not please let me know!
Juli2301 [7.4K]

Answer:

no mistakes

Step-by-step explanation:

4 * 3^x = 324

Divide each side by 4

4/4 * 3^x = 324/4

3^x = 81

Rewriting 81 as a power of 3

3^x = 3^4

Since the bases are the same, the powers are the same

x=4

5 0
3 years ago
Read 2 more answers
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