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bonufazy [111]
4 years ago
7

A lamp manufacturer has daily production costs of C = 0.25n2 – 10n + 800, where C is the total cost in dollars for n lamps produ

ced.
What is a reasonable domain for this function, given the problem's context?
A) all integers
B) all real numbers
C) all positive integers
D) all positive real numbers
Mathematics
1 answer:
Oliga [24]4 years ago
8 0
I think the answer is C) all positive integers. It makes the most sense in the context of the problem. 
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Thomas rents a car for his vaccation the milliage included with the 54 miles forer every mile he drives over 54 miles he needs t
Sauron [17]

Answer:

$27

Step-by-step explanation:

Thomas rents a car for his vacation. The mileage include with the rental is 54 miles. For every mile he drives over 54 miles, he needs to pay $1 4/5. If he drives 69 miles, how much extra does he need to pay?

Total mileage included with the rental = 54 miles

Additional cost per mile after 54 miles = $1 4/5

Total miles Thomas drives = 69 miles

Extra miles Thomas drives = 69 miles - 54 miles

= 15 miles

how much extra does he need to pay?

Extra cost Thomas needs to pay = Additional cost per mile after 54 miles * Extra miles Thomas drives

= $1 4/5 * 15 miles

= 9/5 * 15

= (9 * 15) / 5

= 135/5

= 27

Extra cost Thomas needs to pay = $27

4 0
3 years ago
A container with a larger surface area always has a greater volume. Explain whether or not this statement is true using several
Grace [21]

No, this is not true every time. It depends on the conditions given.

For example-

Suppose we have a Box A with dimensions 10 x 10 x 1 and Box B with dimensions 5 x 5 x 5.

Box B has a surface area = 2(25+25+25) = 150 and a volume of 5*5*5= 125 cubic units

Box A has a larger surface area = 2(100+10+10) = 240 and a smaller volume = 10*10*1 = 100 cubic units

Similarly take an example of sphere.

Lets suppose the radius of the sphere is 2 cm

So, SA is 4πr² = 4*3.14*2*2 = 50.24 cm²

Volume of the sphere is = 4πr³ /3 = 33.50 cm³

Here also the SA is greater.

8 0
3 years ago
Factor the expression completely.<br> 18X2-8
Tcecarenko [31]

18x=2-8

18x=-6

x=-3

that would be my answer if not then ask someone else

3 0
3 years ago
Read 2 more answers
What is 15,000 in percentage
Kay [80]

Add more details to answer

Helpful source:

https://percent-calc.com/what-is-9-of-15000

5 0
3 years ago
Read 2 more answers
Find the domain of ( (a+b/b) − (a/a+b))÷( (a+b/a) − (b/a+b) )
Alexandra [31]

Answer:

Hence the domain is given as,b is such that b is a member of all real numbers,except b=0,a=0, a=-b

Step-by-step explanation:

The domain refers to values for which the expression is defined.

This implies that, the denominators are not equal to zero.

(\frac{a + b}{b} -  \frac{a}{a + b}) \div ( \frac{a + b}{a} -  \frac{b}{a + b})

(\frac{(a + b)(a + b)-ab}{b(a + b)})\div(\frac{(a + b)(a + b)-ab}{a(a + b)})

\frac{(a + b)(a + b)-ab}{b(a + b)} \times\frac{a(a + b)}{(a + b)(a + b)-ab}

\implies \frac{a}{b}

Hence the domain is given as,b is such that b is a member of all real numbers,except b=0,a=0, and a=-b

7 0
3 years ago
Read 2 more answers
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