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Sergio039 [100]
3 years ago
10

What is the value of

lign="absmiddle" class="latex-formula">
Mathematics
1 answer:
meriva3 years ago
4 0

Answer:

Step-by-step explanation:

(0.3)^4(3/10)^4 = 3^4 /10^4 = 81/10000 = 0.00081

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To one-one functions g and h are defined as follows.
Andreyy89

Answer:

  • 9
  • (x-8)/3
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Step-by-step explanation:

The inverse function for a set of ordered pairs can be found by swapping the x- and y-coordinates in each pair.

  g^{-1}(-1)=9\qquad\text{from the $g(x)$ ordered pair $(9, -1)$}

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The inverse of a function expressed algebraically can be found by swapping the x- and y-variables and solving for y.

  h^{-1}(x)\qquad\text{is found from }x=h(y)\\\\x=3y+8\\x-8=3y\\\\y=\dfrac{x-8}{3}\\\\\boxed{h^{-1}(x)=\dfrac{x-8}{3}}

A function of its own inverse returns the original value:

  \boxed{\left(h\circ h^{-1}\right)(-1)=-1}

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3 years ago
Adam is building a rectangular planter without a top the planter will be 7 feet wide 5 feet wide, 5 feet long, and 9 inches high
Tom [10]
Answer: The surface area of the planter will be 120.5 square feet.

In our shape, we will have 5 sides. The base and the four sides going up from each edge of the base.

The base will be 7 x 5 = 35 square feet.

The front and back side will each be 7 x 0.75 = 5.25 square feet.

The left and right side will each be 5 x 0.75 = 3.75 square feet.

If we add up the 5 faces we get:
35 + 5.25 + 5.25 + 3.75 + 3.75 = 120.5 square feet
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3 years ago
Geometry question please help due tomorrow
vagabundo [1.1K]
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Find the area and circumference of a circle with a radius of 18 in. Round
Andre45 [30]

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15. Explain why we need to specify 0 < b < 1 and b > 1 as valid values for the base b in the expression logb(xx).
damaskus [11]

Answer:

The base (b) has to be positive and different of 1. The logarithm is the inverse of exponential, so:

logb(a) = x ⇒ a = bˣ

So, for b = 0 ⇒ 0ˣ = a

And there is impossible, "a" only could be 0.

For b = 1 ⇒ 1ˣ = a

And the same thing would happen, the logarithming would be to be 1, and the function will be extremally restricted.

For b<0, then the expression a = bˣ will be also restricted, and will not represent all values of a.

So, 0<b<1 and b >1.

3 0
3 years ago
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