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1 year ago

What is the answer to (4.575 ÷ 275) × 2

Mathematics

1 answer:

const2013 [10]1 year ago

6 0

Answer:

0.0334

Step-by-step explanation:

(4.575 ÷ 275) × 2

0.0167 * 2

Hope this helps!

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Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.

valentina_108 [34]

Answer:

Correct answer:

A. I and II

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with $f^{-1}(x)$

Given that:

$I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3$

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = $a^{-1}(x)$ = $a(x)$ Hence, I is true.

II. $y =\dfrac{1}{x}$

Replacing y with and x with y:

$x =\dfrac{1}{y}$

$x=\dfrac{1}{a^{-1}(x)}$

$\Rightarrow a^{-1}(x) = \dfrac{1}{x}$

$a^{-1}(x)$ = $a(x)$ Hence, II is true.

III. $y =x^{2}$

Replacing y with and x with y:

$x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)$

Hence, III is not true.

IV. $y =x^{3}$

Replacing y with and x with y:

$x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)$

Hence, IV is not true.

Correct answer:

A. I and II

4 0

2 years ago

Find the equation of the line, in slope intercept form that passes through the point (-6,5) and has slope 1/3

nexus9112 [7]

Answer:

y = x/3 + 7

Step-by-step explanation:

Use the equation: y - y1 = m(x - x1)

Plug in the given values into the equation:

y - 5 = (1/3)(x + 6)

Simplify the right side:

y - 5 = (x/3) + 2

Finally, add 5 to both sides:

y = x/3 + 7

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3 years ago

HELP!!!!!! . GIVEN THE INFORMATION BELOW, Fino AC

LekaFEV [45]

Answer:the answer is B

Step-by-step explanation:

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2 years ago

Calvin types 4 pages in 1/5 hour. The average page contains 250 words. What is Calvin's approximate typing speed in words per mi

RoseWind [281]

Answer:

83 1/3 words per minute

or approximately 83 words per minute

Step-by-step explanation:

4 pages * 250 words/ page = 1000 words

1/5 hour * 60 minutes/ 1 hour = 12 minutes

1000 words / 12 minutes = 83.333333333.... words per minute

83 1/3 words per minute

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2 years ago

Kate made a box to hold her jewelry collection. She used 42 inches of wood to build the sides of the box. If the box was 9 Inche

Vladimir [108]

Assuming that the sides of the box are square (having 90° angles on all four corners), then it should be relatively easy for us to find the length of the box, given the perimeter and the length of one side.
We know the length of all sides combined is 42 inches, and that the length of one side is 9 inches. With a rectangular prism, the length of one side is the same as the length of the opposite side, so there are two sides that measure 9 inches.
All we need to do to find the measure of both the other sides' lengths is subtract the known lengths from the total length.

9 + 9 = 18

42 - 18 = 24

So the rest of the side lengths added together is 24 inches.
There are two sides left, so all we have to do is divide by 2 to find the length of the box.

24 / 2 = 12

The length of Kate's jewelry box is 12 inches.
Hope that helped =)

3 0

2 years ago