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Leviafan [203]
3 years ago
6

The value of 2 x 10¹⁴ is___times the value of 4 x 10⁶

Mathematics
1 answer:
Lunna [17]3 years ago
8 0

Step-by-step explanation:

2 x 10¹⁴ = 200 000 000 000 000 while

4 x 10⁶ = 4 000 000

so 200 000 000 000 000 000 / 4 000 000 = 50 000 000

that means the value of 2 x 10¹⁴ is 5 x 10⁷ times the value of 4 x 10⁶

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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
Erin has n books. She sold half of her books and then bought 16 more. Which expression represents the number of books Erin has?
Margarita [4]

Answer:

n÷2+16

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Maristella is constructing an isosceles triangle to use as a model in her Algebra class. The perimeter of her triangle is 24 cm.
Vlada [557]

Isolating s, the equation written in terms of s is:

s = 12 - 0.5b

-------------------------

  • The equation for the length of the third side, as stated in the problem,("Maristella uses the equation b = 24 – 2s to find b, the length of the triangle's third side") is:

b = 24 - 2s

  • To solve for the lengths of the congruent sides, we isolate s, thus:

b = 24 - 2s

2s = 24 - b

Inverse of multiplication is division, thus:

s = \frac{24 - b}{2}

Separating into two fractions:

s = \frac{24}{2} - \frac{b}{2}

Solving each fraction:

s = 12 - 0.5b

A similar problem is given at brainly.com/question/5123313

3 0
3 years ago
Which is another way to check the sum 52+23+10+78
kotykmax [81]
52+23=75
10+78=88 
88+75=163
that's one way 

7 0
3 years ago
6(n-3)-2n=10 solve for n
Arisa [49]

Answer:

n=7

Step-by-step explanation:

6(n-3)-2n=10

6n-18-2n=10

4n-18=10

4n=28

n=7

6 0
3 years ago
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