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andreev551 [17]
3 years ago
14

Suppose the cost of producing tires, t, is defined by C(t) = -0.45+2 + 12+ 450. Determine

Mathematics
1 answer:
loris [4]3 years ago
6 0

Answer:

Option (A)

Step-by-step explanation:

Function to represent the cost of producing 't' tires is,

C(t) = -0.45t² + 12t + 450

Since average rate of change of the function in the interval (a, b) is given by,

Average rate of change = \frac{f(b)-f(a)}{b-a}

Following this rule,

Average rate of change in the interval (2, 4)

= \frac{C(4)-C(2)}{4-2}

= \frac{490.8-472.2}{4-2}

= 9.3

Average rate of change in the interval (46, 48)

= \frac{-10.8-49.8}{2}

= -30.3

Average rate of change in the interval (12, 14)

= \frac{529.8-529.2}{2}

= 0.3

Average rate of change in the interval (22, 24)

= \frac{478.8-496.2}{24-22}

= --8.7

Average rate of change is greatest in the interval (2, 4)

Option (A) will be the answer.

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Answer:

Step-by-step explanation:

ASSUMING the given dimensions are the lengths of the legs

we have an equilateral triangle with base 4 and height

h = √(3² - (4/2)²) = √5

A = ½bh = ½(4)(√5) = 2√5 cm²

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3 years ago
Solve for m. Write your answer as an inequality expression using the correct symbol.
almond37 [142]

Answer: m ≥ 13

m + 7 ≥ 20

Step-by-step explanation:

you basically subract 7 from 20 and 7

7-7 will cancel each other out 20-7 will give you = 13

m ≥ 13 is your answer

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3 years ago
Select the table that represents a linear function (graph and if necessary)​
tatiyna
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Is 96 fl oz greater than 8 pt
alina1380 [7]
Yes. 96 FL Oz is greater than 8 pt
3 0
3 years ago
Read 2 more answers
I need help on these questions please! Quickly too
ale4655 [162]
By definition, a rational number is a precise number: or in other terms, we know its exact value. Irrational numbers are number that has endless digits on the right of the decimal points: in other terms, we can't know its exact value.

First question:
√2.5 = 1.58113.... It's endless, so irrational.
-√64 = -8 it's a whole number, so rational.
4√5 = 8.94427.... Endless, so irrational.
√14.4 = 3.7947... Endless so irrational.

So -√64 is the rational number.

Second:
7.885 is rational because has a defined number of digits after the decimal points.
π² = 9.8696.... Endless, so irrational.
√0.144 = 0.3794.... Endless, so irrational
√91 = 9.5393.... Endless, so irrational

So 7.885 is the rational number.

Third:
-7.8 bar: You can notice the line over the 8, this means that there's an infinite number of 8 after the decimal points. So it's 7.88888888888.... Endless, so irrational.
√25 = 5, whole number so rational
25.8125 Has a definite number of digits after the decimal point, so is rational.
√0.025 = 0.1581... Endless, so irrational.

So -7.8 bar and √0.025 are irrational.

Fourth:
π= 3.1415... Endless, so irrational.
1.425 has a definite number of digits after the decimal point, so rational.
√50 = 7.0710.... Endless, so irrational
√-4 Doesn't exist. Finding the square root of a negative number is mathematically impossible.

So 1.425 is the rational number.

Fifth:
√10 = 3.1622..... Endless, so irrational.
√100 = 10, a whole number so rational.
√1000 = 31.6227..... Endless, so irrational
√100000 = 316.2277...... Endless, so irrational.

√100 is the rational number.

Hope this helps!! :D And I hope you understood the lesson a bit more xD
5 0
4 years ago
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