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Fofino [41]
4 years ago
7

A candy factory wants to compare a new machine to their current machine. Both machines produce y boxes of candy for every hour x

. The current machine is represented by the equation f(x). The new machine is represented by the equation g(x). f(x) = 15x + 90 g(x) = 30x + 30 After what number of hours will the amount of candy produced be the same for both machines?
Mathematics
1 answer:
inn [45]4 years ago
6 0

Answer:

<em>In 4 hours.</em>

Step-by-step explanation:

Just equate f(x) = g(x). So:

15x + 90 = 30x + 30

60 = 15x

<em>x = 4 hours.</em>

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A company rents water tanks shaped like cylinders. Each tank has a radius of 5 feet and a height of 3 feet. The cost is 3 per cu
vova2212 [387]

Answer: the cost of renting one water tank is 706.5

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the given information,

Radius = 5 feet

Height = 3 feet

Therefore,

Volume = 3.14 × 5² × 3 = 235.5 cubic feet.

If the cost is 3 per cubic foot, then the cost of renting one water tank is

235.5 × 3 = 706.5

3 0
3 years ago
What is the inverse function of f(x)=1/2(5)^x​
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Step-by-step explanation:

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7 0
3 years ago
What set or sets of real numbers does -√16 belong to?
Sati [7]

Answer:

Step-by-step explanation:

Well the square root of 16 can be simplified to 4, which can be represented as a fraction: 4/1, so it's not irrational, but rather rational.

Whole numbers are similar to integers, and natural numbers, the only difference is integers includes all real numbers, which do not have a decimal value. So this includes negative numbers, zero, and positive numbers.

Whole numbers include all real numbers, which do not have a decimal value, and are greater than or equal to zero, or in other words, not negative.

Natural numbers include all real numbers, which do not have a decimal value, and are greater than zero, or in other words, positive numbers.

So this number is a integer, and rational number. (since the negative number in front of the radical)

4 0
2 years ago
Read 2 more answers
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
KengaRu [80]

Answer:

X=6 and Y=3

Step-by-step explanation:

Use SOHCAHTOA, SOH, Sin=Opposite/Hypotenuse, Therefore Sin60°=(3√3)/x ; Xsin60°=3√3 and Sin60° without using 4figuretable or calculator is √3/2, Now x=3√3 ÷√3/2 ;. therefore X=3√3×2/√3= 6. X=6 . Using Pythagoras theorem, 6²={(3√3)² +y²}. Y²= 36-27=9. Y=√9, Y=3. Therefore X=6 and Y=3.

7 0
3 years ago
Use the law of sines to find the length of side c (answer as soon as possible)
Serggg [28]

Answer:

D

Step-by-step explanation:

Using the law of sines in ΔABC, then

\frac{c}{sinC} = \frac{a}{sinA}

Substituting in values gives

\frac{c}{sin31.6} = \frac{25}{sin38} ( cross- multiply )

c × sin38° = 25 × sin31.6° ( divide both sides by sin38° )

c = \frac{25(sin31.6)}{sin38} ≈ 21.28 → D

7 0
4 years ago
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