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Komok [63]
3 years ago
11

Can someone help me with this? I don't understand how to solve it. (3x^2a - 4y^az^3a)^2

Mathematics
1 answer:
EastWind [94]3 years ago
6 0

(3x²ᵃ - 4yᵃz³ᵃ)² =

= 9x⁴ᵃ - 12x²ᵃyᵃz³ᵃ + 16y²ᵃz6ᵃ

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Convert this number given in standard form into scientific notation. 0. 0000069 What is the value in scientific notation? 0. 69
Len [333]

Scientific notation is used so that the order of the number is known in first glance. The value of the given number in scientific notation is given by: Option B: 6.9 \times 10^{-6}

<h3>How does scientific notations work?</h3>

The number is written in the form a \times 10^b where we have 1 \leq a < 10

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

  • Better readability due to compact representation
  • Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.


For the given case, the number in consideration is 0.0000069

Rewriting it in fraction form, we get:

0.0000069  = \dfrac{69}{10000000} = \dfrac{69}{10^7} = 69 \times 10^{-7} = 6.9 \times 10 \times 10^{-7}\\\\0.0000069  =  6.9 \time 10 ^{-7 +1} \\0.0000069  = 6.9\times 10^{-6}

(we used two facts: first that : \dfrac{a}{b} = a \times \dfrac{1}{b}

and second that: a^{-b}= \dfrac{1}{a^b}

Thus, the value of the given number in scientific notation is given by: Option B: 6.9 \times 10^{-6}

Learn more about scientific notations here:

brainly.com/question/3112062

8 0
2 years ago
Convert the function into intercept form. Show your work. y=-x^2+5x+36
UkoKoshka [18]
Y = -x2 + 5x + 36 <span>→ y = -(x2 -5x -36)


</span><span>→ y =  -(x2 - 9x +4x - 36)


</span><span>→ y = -[x(x-9) + 4(x - 9)]


</span><span>→ y = -(x - 9)(x + 4)

Your answer would be </span>y=-(x-9)(x+4).
7 0
3 years ago
X^2 =11+2 sqrt30 find value of X
Fofino [41]

Answer:

If the question goes like this : x²=11+2

then the value of x will be √13

Step-by-step explanation:

x²=11+2

x²=13

x=√13 ans…

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2 years ago
Find the surface area of the pyramid *the side lengths are equal*❤️
Vera_Pavlovna [14]
I think you times them
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How to write an essay about citisenship
garik1379 [7]

Essay Definition of Citizenship:

In the literal sense a person who lives in a city is said to be a citizen. But in political science we use this terminal different sense. To find the real meaning of the term we are to go back to ancient Greece. Aristotle, the father of political science, called a person a citizen who would take a direct and active part in the administration of the state.

Since the states in ancient Greece were as small as the cities of Greece it was possible for the residents of the city-state to make law, to adjudicate and even enforce the law. These citizens did not include the slaves, women and manual workers. In such a case the number of the citizens was just half of the entire population. The position was not very different in the medieval Europe. There were serfs in the place of the slaves.

The position is quite different in modern nation-states, where all adult people are citizens who need not take an active part in the administration of the country, because it is not possible for the entire population of a vast country to meet together and make law and interpret it or enforce it.

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