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Irina18 [472]
3 years ago
7

A manufacturing company plans to progressively increase its production capacity over the next few quarters. (A quarter is a peri

od of three months.) The increase in production can be modeled by the equation y = x6 − 25x4 + 199x2, where x is the number of quarters. What is the minimum duration required for the company to reach a production capacity of 4,975 units?
Mathematics
2 answers:
motikmotik3 years ago
8 0

Answer:

a

Step-by-step explanation:

SashulF [63]3 years ago
5 0
We are asked in the problem to determine the number of quarters that are needed to complete 4975 units given the equation y = x6 − 25x4 + 199x2 where y is the number of manufactured units and x is the number of quarters needed. 
substituting y = 4975, we find x. <span>x is readily found using calculator.</span>
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A certain book is sold in a paperback version for 4.75 or in a hardcover versoin for 11.50, If a copy of the book is being purch
mote1985 [20]

Answer:

$135

Step-by-step explanation:

Paperback=$4.75

Hardcover=$11.50

Multiply 4.75 and 20=95

Multiply 11.50 and 20=230

Subtract 230 and 95=135

so it would be $135

4 0
3 years ago
Find domain and range -√x-5+10
inysia [295]
When finding the domain of a square root, you have to know that it is impossible to get the square root of 0 or any negative number. since domain is possible x values this means that x cannot be 0 or any number less than 0. However, you can find the square root of the smallest most infinitely small number greater than 0. since an infinitely small number close to zero can not be written out, we must must say that the domain starts at 0 exclusive. exclusive is represented by an open or close parenthesis so in this case the domain starts with:
(0,
we can get the square root of any number larger than 0 up to infinity but infinity can never be reached so it is also exclusive. So so the ending of our domain would be:
,infinity)
So the answer if the square root is only over the x the answer is
(0, infinity)

But if the square root is over the x- 5 then this would brIng a smaller amount of possible x values. since anything under the square root sign has to be greater than 0, you can say that:
(x - 5) > 0
x > 5
Therefore the domain would start at 5 and the answer would be:
(5, infinity)
8 0
3 years ago
A manufacturer makes closed cubic containers from sheet metal. How many square centimeters of sheet metal will a 27,000 cm 3 con
dezoksy [38]

let's recall that a cube is just a rectangular prism with all equal sides, check picture below.

\bf \textit{volume of a cube}\\\\ V=s^3~~ \begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} V=&27000 \end{cases}\implies 27000=s^3\implies \sqrt[3]{27000}=s\implies 30=s \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cube}\\\\ SA=6s~~\begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} s=&30 \end{cases}\implies SA=6(30)\implies SA=180

6 0
3 years ago
Azim wants to buy a tablet computer that is priced 180.50 if the sales tax rate on the computer is 8% how many dollars and cents
madreJ [45]

Answer: 98.1%

Explanation:

A 10% sale means that the post-sale price of the item is now 90%, or 0.9 of the original cost of the item. We then apply 9% sales tax by multiplying the 0.9 by 109%, or 1.09. 0.9 * 1.09 = .981, so the total cost of the item is 98.1% of the original pre-sale sticker price.

For percentage problems that do not deal with a specific starting number, it is always helpful to plug in 100 for the starting number. Here, we would then have a post-sale price of 90 dollars, and if we calculate the sales tax for the 90-dollar item it would be 90 * 0.09 = $8.10. THis gives us a total cost of 90 + 8.10 = $98.10, or 98.1% of the original 100-dollar price.

8 0
3 years ago
Read 2 more answers
F) As a truck driver, Roland averages 400 miles every 6 hours of driving. How long will it take him to drive
liubo4ka [24]

Answer:

31.5 hours

Step-by-step explanation:

time * speed = distance

speed=400/6=66.67 miles per hour

2100/(400/6)=31.5 hours

6 0
4 years ago
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