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guajiro [1.7K]
3 years ago
9

Find the next term for the following sequence 9,6,4

Mathematics
1 answer:
pav-90 [236]3 years ago
8 0

Answer:

The next term for the following sequence is 8/3

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(2^8 x 3^−5 x 6^0)−2 x 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 x 2^28
Veronika [31]

(2^8\cdot3^{-5}\cdot6^0)^{-2}\cdot\left(\dfrac{3^{-2}}{2^3}\right)^4\cdot2^{28}\\\\=(2^8)^{-2}\cdot(3^{-5})^{-2}\cdot1^{-2}\cdot\dfrac{(3^{-2})^4}{(2^3)^4}\cdot2^{28}\\\\=2^{-16}\cdot3^{10}\cdot\dfrac{3^{-8}}{2^{12}}\cdot2^{28}\\\\=2^{-16}\cdot2^{28}\cdot2^{-12}\cdot3^{10}\cdot3^{-8}\\\\=2^{-16+28+(-12)}\cdot3^{10+(-8)}\\\\=2^0\cdot3^2=1\cdot9=\boxed{9}\\\\Used:\\\\(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a^m=a^{n+m}\\\\a^{-n}=\dfrac{1}{a^n}

4 0
3 years ago
Read 2 more answers
Emma receives $7750 and invests it in an account that earns 4% interest copounded continuously, What is the total amount of her
QveST [7]
So your present value is 7750. this is what you have now. they give you the intesrest rate which is 4% and how the amount of year is 5.

recall the formula for a compounded continously is
P×e^(r×t)

the answer is 7750×e^(.04×5)
8 0
3 years ago
Find the equation of the circle that is shifted 5 units to the left and 2 units down from the circle with the equation x^2+y^2=1
marysya [2.9K]
Shifting a circle results to changes in the coordinates of the circle. For instance, if the coordinates of the center of the circle is taken to be (0,0), the new coordinates will be [(0+5),(0+2)] after shifting. The equation of the circle will also change with the same margin.

That is, the new equation will be;
(5+x)^2+(2+y)^2 =19

Notice, only the coordinates changes.
6 0
3 years ago
What is 1/2x+1.5-2-7 simplified
Nady [450]
The answer is x/2-7.5 !!
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3 years ago
Simplify the product using the distributive property. (-4h +2)(3h +7)
Alekssandra [29.7K]

Answer:

  A.  -12h² - 22h + 14

Step-by-step explanation:

(-4h +2)(3h +7) = -4h(3h +7) +2(3h +7) . . . . . . . (a +b)c = ac +bc

  = (-4h)(3h) + (-4h)(7) + (2)(3h) + (2)(7) . . . . . . . a(b +c) = ab +ac . . . (twice)

  = -12h² -28h +6h +14

  = -12h² -22h +14 . . . . . . . . collect terms

3 0
3 years ago
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