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zhenek [66]
3 years ago
8

Mike is redecorating his office’s conferences rooms. When they were last painted it took 20 pints of paint. The paint he is usin

g only comes in liters. How many liters will he need to buy to paint the room?
Mathematics
1 answer:
german3 years ago
4 0

Previously the volume of paint consumed was: 20 pints

New paint is available in unit of liters.

since, 1 pint = 0.47 liter

20 pint = 9.46 liters (10 liters approx.)

Mike will need to buy 10 liters of paint.

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Barrett works at an ice cream shop. the function f(x) represents the amount of money in dollars barrett earns per gallon of ice
SIZIF [17.4K]

Amount of money earned per number of hours of work =  f(g(x)) = 6x^{3} + 4

<h3>What is a composite function?</h3>
  • A composite function is generally a function that is written inside another function.
  • Composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”.

To evaluate a composite function f(g(x)) at some x = a, first compute g(a) by substituting x = a in the function g(x). Then substitute g(a) into the function f(x) by substituting x = g(a). In the same way, we can calculate g(f(a)) as well.

Required calculation -

Amount of money (the earning) per unit x = f(x) = 2x^{2} + 4

Number of gallons of ice cream that Barrett makes per hour, where x is the number of hours he works = g(x) = \sqrt{3x^{3}}

we are to find the composite function f(g(x))

Substituting g(x) into the x of f(x), we find:

f(g(x)) = 2(\sqrt{3x^{3} } )^{2} + 4\\\\= 2(3x^{3} ) + 4\\= 6 x^{3} + 4

To learn  more about composite function from given link

brainly.com/question/14865610

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3 0
1 year ago
Which is a equivalent to (9y^2-4x)
damaskus [11]
I believe the answer is 81x^4-16x^2 difference of squares
5 0
3 years ago
NEED HELP ASAP PLEASE
Ilya [14]

Answer:

see explanation

Step-by-step explanation:

Given

A = \frac{1}{2} bh

a. substitute b = 6 and h = 5 into the formula

A = \frac{1}{2} × 6 × 5 = \frac{1}{2} × 30 = 15 units²

b.

Multiply both sides of the formula by 2

2A = bh, that is

bh = 2A ← divide both sides by b

h = \frac{2A}{b} = \frac{2(16)}{4} = \frac{32}{4} = 8

c

Using

bh = 2A ← divide both sides by h

b = \frac{2A}{h} = \frac{2(12)}{4} = \frac{24}{4} = 6

3 0
3 years ago
Simplify this expression: 4(x+3)+3(5-x)
prisoha [69]

Answer:

x+27

Step-by-step explanation:

Let's simplify step-by-step.

4(x+3)+3(5−x)

Distribute:

=(4)(x)+(4)(3)+(3)(5)+(3)(−x)

=4x+12+15+−3x

Combine Like Terms:

=4x+12+15+−3x

=(4x+−3x)+(12+15)

=x+27

Hope you find this Useful!

8 0
2 years ago
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Write the fractions in order from least to greatest
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1/6, 2/3, 3/4 is the answer
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