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lukranit [14]
3 years ago
12

How to write 32,005,008 in two forms

Mathematics
1 answer:
Marianna [84]3 years ago
7 0
In words: thirty two million, five thousand and eightin
expanded notation: 30 000 000 + 2 000 000 + +0 + 0 + 5000 + 0 + 0 + 8
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Standard Form: 3x+4y=−16
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Answer:

i know the answer

Step-by-step explanation:

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a plumber charges $52.50 per hour plus a $75.00 service charge your father's firm hires him to fix some leaky pipes find the tot
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(4.5 x 52.5) + 75 = 311.25

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What is the mean of 90, 55, 75, 60, 80, and 90?
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What is the inverse of the function f(x) = 2x + 1?
Luda [366]

Answer:

f^{-1}(x)=\frac{1}{2}x-\frac{1}{2} ⇒ answer 1

Step-by-step explanation:

* Lets explain how to find the inverse of a function

- To find the inverse of a function :

# Write y = f(x)

# Switch the x and y

# Solve to find the new y

# The new y is f^{-1}

* Lets solve the problem

∵ f(x) = 2x + 1

- Put y = f(x)

∴ y = 2x + 1

- Switch x and y

∴ x = 2y + 1

- Solve to find the new y

∵ x = 2y + 1

- Subtract 1 from both sides

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- Divide both sides by 2

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- Divide each term in the left hand side by 2

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- Replace y by f^{-1}

∴ f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

* The inverse of the function is f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

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Pythagoras help needed please
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Answer:

See explanation

Step-by-step explanation:

Find the diagonal of the square. The side of the square is 5 cm long. By the Pythagorean theorem,

\text{Diagonal}^2=\text{Side}^2+\text{Side}^2\\ \\\text{Diagonal}^2=5^2+5^2\\ \\\text{Diagonal}^2=25+25\\ \\\text{Diagonal}^2=50\\ \\\text{Diagonal}=\sqrt{50}=5\sqrt{2}\approx 7.07\ cm

If the square (being inside the circle) touches the circle, then the diagonal of the square is exactly the diameter of the circle. The diameter of the circle is twice the radius of the circle, so

\text{Diameter}=2\times 5=10\ cm

Since the diagonal is shorter than the diameter, the square can fit into the circle without touching the circle.

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