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2 years ago

How do I justify if these functions are inverses of each other ... F(x)=x^3 +4 & g(x)=3(radical sign) -4

1 answer:

3 0

You plug them into each other for x like so:
(3(radical sign)-4)^3+4
-4+4
You're left with x
Then do the same for the other one
3(radical sign)(x^3+4)-4
X+4-4
Left with x again there fore it is an inverse

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A cylindrical soup can has a diameter of 3.6 in. and is 6.4 in. tall. Find the volume of the can.

arsen [322]

<h2>⚘Your Answer:------</h2>

<h3>Given Information:</h3>

Diameter of can:- 3.6 cm
Height of can:- 6.4 cm

Volume of the Can.

<h3>Solution:</h3>

Radius = (Diameter/2)

ㅤㅤㅤㅤ3.6 cm/2

ㅤㅤㅤㅤ1.8 cm

So, Radius of the soup can is 1.8 cm.

Volume øf cylinder = Volume øf can

Volume of cylinder = π r²h

(π = 22/7)

(r = radius = 1.8 cm)

(h = height = 6.4 cm

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7×(1.8 cm)²× 6.4 cm

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7× 3.24 cm² × 6.4 cm

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7 × 20.736 cm³

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= (456.192/7) cm³

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 65.17 cm³

So, the Volume of the soup can is 65.17 cm³

ㅤㅤㅤㅤㅤㅤㅤㅤ⚘Thank You

7 0

2 years ago

The grocery store where Ms. Maple works pays her $6.50 per hour. Any time she works more than 40 hours per week, she is paid tim

Charra [1.4K]

Answer:

$289.25

Step-by-step explanation:

First we should find out how much Ms. Maple would make in a week without overtime.

6.5 x 40 = 260

Now, let's figure out how much she makes per hour in overtime.

6.5 x 1.5 = 9.75

Now add up the hours of overtime.

9.75 x 3 = 29.25

Now we add the weekly wage to the overtime

260 + 29.25 = 289.25

For 40 hours of regular time at $6.50/hr and 3 hours of overtime at $9.75/hr, Ms. Maple will make $289.25 for the week.

7 0

3 years ago

Write 0.0000004954 in scientific notation.

SCORPION-xisa [38]

By scientific notation I am assuming you mean standard form, as that is used primarily in scientific calculations. The answer in standard form would be
$4.954 \times {10}^{ - 7}$
I hope this helps!

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3 years ago

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A number x divided by 3 is at most 5 An inequality that represents this word sentence is

svet-max [94.6K]

Answer:

x/3 ≥ 5

Step-by-step explanation:

4 0

3 years ago

Find the coordinates of the missing endpoint given E is the midpoint of DF. F(5,8) E(4,3)

masha68 [24]

Answer:

(3,-2)

Step-by-step explanation:

Midpoints bisect a line into two perfectly congruent segments. So, you can find that f was translated down 5=(8-3) and left 1=(5-4). then repeat this step by subtracting x of point e by 1 and the y of point e by 5 to get (3,-2)

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3 years ago

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