Answer:
2,4,5
Step-by-step explanation:
The volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe is 823.68 inches³
<h3>Volume of a sphere</h3>
The globe is a sphere. Therefore, the volume is as follows:
volume = 4 / 3 πr³
where
r = 12 /2 = 6 inches
volume = 4 / 3 × π × 6³
volume = 864 / 3 π
volume = 288 × 3.14 = 904.32inches³
<h3>Volume of a cube</h3>
The box is a cube. Therefore,
volume = L³
where
Therefore,
volume = 12³
volume = 1728 inches³
Therefore, the volume of the space inside the box that is not taken up by the globe is as follows:
volume not taken up = 1728 - 904.32 = 823.68 inches³
learn more on volume here: brainly.com/question/15385003
Answer:
She has to pay $2246.4 in taxes for this employee benefit.
Step-by-step explanation:
First find the annual travel allowance equal to weekly allowance x 52 weeks = $180 x 52 = $9,360
When you get the annual travel allowance, find the annual tax.
Annual tax =Annual travel allowance × Tax rate
=$9,360 × 0.24
=$2,246.40
Answer:
1 / 2
Step-by-step explanation:
The average rate of change is the same as the slope.
Slope formula: (y₂ - y₁) / (x₂ - x₁)
= (5 - 3) / (2 - (-2))
= 2 / 4
= 1 / 2
Answer:
the equation of g(x) is, 
Step-by-step explanation:
The transformation of the function is defined as:
where, b represents the horizontal shift.
if b> 0 then, the function f(x) shifts b units left and if b< 0 ; then the function shifts b units right
As per the statement:
The function f(x)=2x−5 is a linear function.
It is given that:
g(x) represent f(x) after a horizontal translation 3 units to the right.
⇒
then
⇒
⇒
Therefore, the equation of g(x) is,
