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Triss [41]
3 years ago
12

9/10 × 5/7

Mathematics
1 answer:
liubo4ka [24]3 years ago
8 0
Yes your answer is correct. The fractions have a product of 45/70 which reduces to answer B
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Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}
krok68 [10]

Answer:

|p-q|-(|p|-|q|) = 20

Step-by-step explanation:

First let's find the value of 'p-q':

p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\

To find |p-q| (module of 'p-q'), we can use the formula:

|ai + bj| = \sqrt{a^{2}+b^{2}}

Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'

So we have:

|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25

Now, we need to find the module of p and the module of q:|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15

|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10

Then, evaluating |p-q|-{|p|-|q|}, we have:

|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20

7 0
2 years ago
estimate 0.00792398 to the nearest thousandth. Express your answer as a single-digit times a power of ten
Marianna [84]

Answer: \approx8*10^{-3}

Step-by-step explanation:

In order to round to the nearest thousandth, you must observe the digit to the right of the digit in the thousandth place and then:

  • If it is less than 5, you must round down.
  • If it is greater than or equal than 5, you must round up.

In this case, given the number:

0.00792398

You can notice that the digit to the right of the digit in the thousandth place is 9.

Since 9>5, you must round up. Then:

0.00792398\approx0.008

Finally, to express this as a single-digit times a power of ten, move the decimal point three places to the right. Then you get:

\approx8*10^{-3}

5 0
2 years ago
CAN SOMEONE HELP DO #1 PLEASE
love history [14]

Answer:

  B.  $450

Step-by-step explanation:

The amount of commission is the commission rate (3%) times the amount of sales to which it is applied ($5000). Garrett's commission last week would be ...

  0.03 × $5000 = $150

He is also paid $300 each week in addition to his commission, so his total pay last week was ...

  pay = salary + commission

  pay = $300 +150 = $450

4 0
2 years ago
Find the product of<br><br><br><img src="https://tex.z-dn.net/?f=%28%20%20-%2012x%20%5E%7B3%7Dyz%20%5C%3A%29%20and%20%28%20%20%2
Alex

(-12x^3 yz)(-4x^3yz^4)\\\\=48x^6y^2 z^5

3 0
2 years ago
Read 2 more answers
PLS help me with this question
Vinvika [58]

Answer:

80, 20 suvs in 45 vehicles, 45 is 1/4 of 180, so just multiply 20 times 4 and the answer you get is 80

4 0
2 years ago
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