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1 year ago

A glass is 1/3 full. Then 40cm³ of

Mathematics

1 answer:

melomori [17]1 year ago

4 0

Answer: The required total volume of the glass is 105 cm³.

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Consider the function FX equals -2/3 X -24 which conclusions can be drawn about F negative 1X select two options a F negative 1X

omeli [17]

The conclusions that can be drawn about f–1(x) are:

$f^-^1(x)$ has an x-intercept of (-36, 0)
$f^-^1(x)$ has a range of all real numbers.

<h3>Calculations and Parameters:</h3>

Given:

$f(x) = \frac{-2}{3}x - 24$

$f(x) + 24 = \frac{-2}{3}x$

To find x, we would multiply both sides by -2/3

= $x= \frac{-3}{2} (f(x) + 24)$

$f^-^1(x) = -\frac{3}{2} (0) - 36$

$f^-^1(x) = -36$

Therefore, $f^-^1(x)$ has an x-intercept of (-36, 0)

Furthermore, $f^-^1(x)$ has a range of all real numbers.

Read more about real numbers here:

brainly.com/question/17020343

#SPJ1

5 0

1 year ago

At the yearly fund raising drive, the nonprofit company 's goal was to raise $55,500 each day. After three days it had raised $5

maxonik [38]

This is honestly simple but we all need help! The answer is 55,053. Hope this helps! =3

5 0

3 years ago

Which equation is the inverse of y = 9x2 - 4?

m_a_m_a [10]

Answer:

The inverse will be:

$y' = \frac{\sqrt{x+4}}{3}$

Step-by-step explanation:

In order to find the inverse of the equation, we do a variable change, since we are finding the inverse, :

$f(x) = 9x^{2} - 4$

$y = 9x^{2} - 4$

$x = 9y' ^{2} - 4$

Now solve for y'.

First add 4 in both sides of the equation and change to the left y'.

$x + 4= 9y'^{2} - 4+4$

$9y'^{2}$ = x + 4

Second divide by 9

$9y'^{2}$ /9 = (x + 4)/9

$y'^{2}$ = (x + 4)/9

Now you will have to clear y, with the square root.

$[tex]y'^{\frac{2}{2}} = \sqrt{x + 4} / \sqrt{9}$ [/tex] =

Simplifying terms

$y' = \frac{\sqrt{x+4}}{3}$

$f^{-1}(x) = \frac{\sqrt{x+4}}{3}$

You can check the answer by doing the evaluation of the following equation:

(f o $f^{-1}$ ) (x)

substitute the equation for y' or inverse function $f^{-1}$

f( $\frac{\sqrt{x+4} }{3}$ )

Now substitue the value into f(x)

You will have

$= 9(\frac{\sqrt{x+4} }{3}} )^{2} - 4\\\\Solving\\\\9(\frac{{x+4} }{9}} ) - 4$

5 0

3 years ago

Which of the diagrams below represents the contrapositive of the statement "If it is an elm, then it is a tree"?

Murrr4er [49]

Answer:

Right

Step-by-step explanation:

For a contrapositive, we switch the hypothesis and conclusion and then negate it.

Switch

If it is a tree, then it is an elm

Negate

If it is not a tree, then it is not an elm.

Not tree belongs inside not elm

Right

7 0

2 years ago

What am I supposed to do here?

sweet [91]

Answer:

here is your answer.

Step-by-step explanation:

total frequency is 24

7 0

2 years ago