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

Answers

Answer 1

Answer:

  5 months

Step-by-step explanation:

We assume that y represents production capacity, rather than increase in production capacity. Then we want to solve the 6th-degree equation ...

  x^6 -25x^4 +199x^2 -4975 = 0

This can be factored in groups as ...

  x^4(x^2 -25) + 199(x^2 -25) = 0

  (x^4 +199)(x^2 -25) = 0

This has 4 complex solutions and 2 real solutions.

  x^2 = 25

  x = ±5

The duration required for capacity to reach 4975 units is 5 months.

A Manufacturing Company Plans To Progressively Increase Its Production Capacity Over The Next Few Quarters.

Related Questions

1. You want to purchase a car that costs $25,000. You must pay a 10% down payment. How much is this?

Answer: 2,500

2. What do you still owe?

Answer: 22,500

3. Determine the monthly payment for 60 months with an APR of 5.5%. Round to the nearest cent.

Answer: 22,500(0.055/12)/(1-(1+0.055/12)^(-60)= 429.78 rounded to the nearest cent.

4. How much do you pay all together at the end of the 60 months including the down payment and interest charges?

I need help with number 4. Please.

Answers

Answer: If interest is not given, it would be 25,000+ interest as your answer

Step-by-step explanation:

Solve equation t+26=25

Answers

Answer:

t+26=25

t= 26-25 = 1

Step-by-step explanation:

What is the lcm of 12 and 3

Answers

Answer:

LCM of 12 and 3 is 12

Step-by-step explanation:

hope it helps you vhprince

1cm of 12 and 3
1*12+3
12+3
15

PLEASE HELP I SUCK AT MATH I APPRECIATE IT❤️❤️

Answers

Answer:

1 term 3x²

two term  x+8,  3x³ +5x²

3 term 2x²+x-3

Step-by-step explanation:

Question 2 : There are 40 students in Mrs. Jackson's class, and
1/4 of the class has their own cell phone. Of this group of
students, 1/2 of them are allowed to use social media. How many
of the students have a cell phone and can use social media?

Answers

Answer:

5

Step-by-step explanation:

First find the number that have their own cell phone

1/4 * 40 = 10

There are 10 students with their own cell phone

1/2  of the 10 can use social media

1/2 * 10  =5

5 have their own cell phone and can use social media

Answer: 10 students have a cell phone and only 5 of them can use social media

Step-by-step explanation: We see there are 40 students in total and 1/4 OF the class have their own cell phone. The OF means multiplacation so we do 40 X 1/4 which is 10 students who have their cellphone. We then again see 1/2 OF the 10 students can use social media meaning we do 10 X 1/2 which is equal to 5 students out of the 10 can use social media.

A washer and a dryer cost $857 combined. The washer costs $93 less than the dryer. What is the cost of the dryer?

Answers

Answer:

Dryer cost $475;  Washer cost $382

Step-by-step explanation:

For this problem, we will simply set up a system of equations to find the value of each the washer (variable x) and the dryer (variable y).

We are given the washer and dryer cost $857 together.

x + y = 857

We are also given that the washer cost $93 less than the dryer.

x = y - 93

So to find the cost of the dryer, we simply need to find the value of y.

x + y = 857

x = y - 93

( y - 93 ) + y = 857

2y - 93 = 857

2y = 950

y = 475

So now we have the value of the dry to be $475.  We can check this by simply plugging in the value and see if it makes sense.

x + y = 857

x + 475 = 857

x = 382

And check this value:

x = y - 93

382 ?= 475 - 93

382 == 382

Therefore, we have found the values of both the washer and the dryer.

Cheers.

The cost of the dryer is $475 and the cost of the washer is $382.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a washer and a dryer cost $857 combined.

Let the cost of dryer be x.

The washer costs $93 less than the dryer.

Then, the cost of washer will be x-93

So, x+x-93=857

2x=857+93

2x=950

x=$475

x-93=475-93

= $382

Hence, the cost of the dryer is $475.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

The brain volumes ​(cm3​) of 20 brains have a mean of 1162.5 cm3 and a standard deviation of 126.7 cm3. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such​ data, would a brain volume of 1405.9 cm3 be significantly​ high?

Answers

Answer:

No, the brain volume of 1405.9cm³ would not be significantly high.

Step-by-step explanation:

We would use the Empirical rule to determine the answer for this question.

The empirical rule - formula states that:

a) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ

b) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ

The question asks us to use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high.

The range rule of thumb tells us that the range is four times the standard deviation. So we say that the usual values will be 2 standard deviations away from the mean of the data distribution.that the values are usually within 2 standard deviations from the mean.

Hence, μ = mean =1162.5 cm³

σ = Standard deviation = 126.7 cm³

μ – 2σ

1162.5 cm³ - 2(126.7 cm³)

= 1162.5 cm³ - 253.4 cm³

= 909.1cm³

μ + 2σ

1162.5 cm³ + 2(126.7 cm³)

= 1162.5 cm³ + 253.4 cm³

= 1415.9cm³

From the calculation above, we can see that for such​ data, 1405.9 cm³ is within the lower limits of 909.1 cm³ and the higher limits of 1415.9 cm³. Therefore the brain volume of 1405.9 cm³ would not be significantly high.

You are holding a gift, that has a mass of 9.5 kg. Calculate the weight of the gift,

Answers

Answer:

93.1 N (Newtons)

Step-by-step explanation:

I know it is hard for you to understand this question, so ill make it as easy as possible.

There's a difference between mass and weight

Mass is the amount of matter while WEIGHT IS THE AMOUNT OF FORCE EARTH ATTRACTS AN OBJECT TO ITS CENTER. That means that we have to calculate the weight.

The formula for that is:

Force = Mass * gravitational constant

Here, the gravitational constant means the acceleration at which earth attracts an object to itself. The value of gravitational constant is normally taken as '9.8m/s²' if the value is not given. If it is then replace the given value and calculate the answer.

Ok so heres the equation:

F= 9.5 kg x 9.8 ms

F= 93.1 N

I know it took too long to explain, but it was needed because I could see that you were confused between mass and weight

+ if u think the anwer is good so plz mark it the branliest uwu

please help me fr tho

Answers

Answer: y=2x+1

Step-by-step explanation:

To solve for y, we want to use our algebraic properties to isolate y.

16x+9=9y-2x               [add both sides by 2x]

18x+9=9y                     [divide both sides by 9, divide to each term]

2x+1=y

Now, we know that y=2x+1.

Answer:

no thx and thx for the points

Step-by-step explanation:

what is an interest rate​

Answers

Answer:

An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited or borrowed

What is (-7) x (-3) in multiplying integers

Answers

Answer:

21

Step-by-step explanation:

negative x negative = positive the negatives cancel out each other

calculate 188 meters___________Yards

Answers

Answer:

205.599

Step-by-step explanation:

Answer:

205.599 yards

Step-by-step explanation:

1 meter = 1.09361 yards

Multiply 188 meters by 1.09361 yards

188 meters = (1.09361 yards) x (188 meters)

                   = 205.599 yards

Find the missing length, X.
Find the missing length

X= [ ] in

Answers

33 in corresponds with the 11 in side

33 in / 11 in = 3

The scale factor is 3

24 in / 3 = 8 in

x = 8 in

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides will be in same ratio.

[tex]\frac{33}{11}=\frac{24}{x}[/tex]

Cross multiply,

33*x = 24 * 11

[tex]x=\frac{24 *11}{33}\\\\x=\frac{24*1}{3}\\\\x = 8 in[/tex]

Question 4: The following data give the numbers of computer keyboards assembled at the Twentieth Century Electronics Company for a sample of 25 days.

76 61 74 62 73 63 73 64 72 64
72 65 72 66 71 66 71 67 70 67
70 68 69 68 68

Determine the (approx) value of the 53rd percentile Round answer to nearest integer:

Answers

Answer:

69

Step-by-step explanation:

Since there are 25 values, then n=25.

Now, calculate the index: 

i=p/100n=53/100⋅25=53/4.

Since the index i is not an integer, round up: i=14

The percentile is at the position i=14. So, the percentile is 69.

30 points and possible brainliest
I need help I selected one but I don't know what the other one is.​

Answers

Answer:

the answer is D and a

Step-by-step explanation:

please mark me as a brainlist...

two angles of a triangle are 98 degrees and 50 degrees what is the third angle

Answers

Answer:

32 degrees.

Step-by-step explanation:

The three angles in a triangle always add up to 180 degrees.

To find the third angle, [tex]180-50-98=32[/tex].

distribute the money £423 in the ratio 1 : 2 : 3

Answers

Answer:

see below

Step-by-step explanation:

will make short and  simple

$423 in the ratio 1 : 2 : 3

420 / 6 = 70

1 * 70 = 70

2 * 70 = 140

3 * 70 = 210

What is 456,345,698,746 ft in cm?

Answers

Answer:

13909416897778.08 cm

Step-by-step explanation:

Answer:

13909416897778.08 cm

Step-by-step explanation:

3(x-5) – 1/2(10x + 10) I don’t understand and I need the answers

Answers

Answer:3x-15-5x-5

-2x-20

Step-by-step explanation:

Answer:

-2x-20

Step-by-step explanation:

Expand 3(x-5) : 3x-15

Do not forget there is a subtraction sign in the middle.

Expand 1/2(10x+10) : 5x+5 : 5(x+1)

= 3x - 15 - 5(x+1)

Expand -5(x+1) : -5x-5

= 3x-15 - 5x - 5

Simplify 3x-15-5x-5 by adding like terms: -2x-20

= -2x-20

Aref (x) = StartFraction 1 Over 8 EndFraction x cubed and g (x) = 2 x Superscript one-third inverses of each other? Check all that apply. The simplified expression for f(g(x)) is x. The simplified expression for f(g(x)) is One-fourth x. The simplified expression for g(f(x)) is 2x. The simplified expression for g(f(x)) is x. The functions are inverses of each other. The functions are not inverses of each other.

Answers

Answer:

The simplified expression for f(g(x)) is x. The simplified expression for g(f(x)) is x. The functions are inverses of each other.

Step-by-step explanation:

Given:

  [tex]f(x)=\dfrac{1}{8}x^3\\\\g(x)=2x^{\frac{1}{3}}[/tex]

We find that ...

  [tex]f(g(x))=\dfrac{1}{8}(2x^{\frac{1}{3}})^3=\dfrac{1}{8}(2^3)(x^{\frac{3}{3}})=\dfrac{8}{8}x\\\\\boxed{f(g(x))=x}\\\\g(f(x))=2\left(\dfrac{1}{8}x^3\right)^{\frac{1}{3}}=2\left(\dfrac{1}{8^{\frac{1}{3}}}\right)(x^{\frac{3}{3}})=\dfrac{2}{2}x\\\\\boxed{g(f(x))=x}[/tex]

__

So, the statements that apply are ...

The simplified expression for f(g(x)) is x. The simplified expression for g(f(x)) is x. The functions are inverses of each other.

Answer:

A, D, E

   The simplified expression for f(g(x)) is x.

   The simplified expression for g(f(x)) is x.

   The functions are inverses of each other.

Step-by-step explanation:

Got it right on edg :)

A 3-mi cab ride cost $7.90. A 9-mi cab ride cost $18.70

Answers

Answer:

The 3 mile cab ride includes a basic charge as well as the cost for the distance covered. For a 6 mile trip, the cost ...

A cylinder has a volume of 320x cubic inches and a height of 5 inches.
What is the radius of the cylinder?

Answers

Answer: 8 inches

Step-by-step explanation:

320π in³= π (r²) (5 in)

64 in² = r²

r = 8 in

The sum of the ages of Caleb and Linda is 55 years. 8 years ago, Caleb's age was 2 times Linda's age. How old is Caleb now?

Answers

Answer:

34

Step-by-step explanation:

1. if to guess the Caleb's age is 'x' years and Linda's age is 'y' years now, then

2. according to the 'sum of the ages of Caleb and Linda is 55 years' it may be written: x+y=55 - the first equation of the system;

3. according  to the condition '8 years ago, Caleb's age was 2 times Linda's age' it may be written: (x-8)(y-8)=2 - the second equation of the system;

4. if to make up the system of two equation and calculate the values of 'x' and 'y':

5. if x=34, then Caleb is 34 old now.

Consider the universal set U and the sets X, Y, Z. U={1,2,3,4,5,6} X={1,4,5} Y={1,2} Z={2,3,5} What is (Z⋃X′)⋂Y?

Answers

X' = U - X

= {1,2,3,4,5,6} - {1,4,5}

= {2,3,6}

(ZUX') = {2,3,5} U {2,3,6}

= {2,3,5,6}

(Z⋃X′)⋂Y = {2,3,5,6} ⋂ {1,2}

= {2}

Is x a natural number

Answers

Answer:

no because natural numbers are positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well. not variables

no x is not a natural number because it is 1

make 2 2/5% a fraction in simplest form ​

Answers

Answer: 3/125

Step-by-step explanation:

Answer:

24/1000

Step-by-step explanation:

Step 1:

2 2/5% = 2.4%

Step 2:

2.4% = 0.024

Step 3:

0.024 = 24/1000

Answer:

24/1000

Hope This Helps :)

What are the two solutions of 2x2 = –x2 – 5x – 1?

Answers

Answer:

x=1+√334, x=1−√334

Step-by-step explanation:

ANSWER is C on edge for those of you looking

Step-by-step explanation:

Find a ratio that is equivalent to 9 to 15

Answers

81:225 would be another ratio that is equavalient.

The required equivalent ratio of the given ratio is 3/5.

Given that,
The ratio that is equivalent to 9 to 15 is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Mentioned ration,
= 9 / 15
Reducing the expression by eliminating the common factors
= 3 / 5

Thus, the required equivalent ratio of the given ratio is 3/5.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ2

ASAP! I need some help with these 5 statistics questions please! (I will post them all separately).

Question 1: The mean time taken by all participants to run a road race was found to be 145 minutes with a standard deviation of 15 minutes. Using Chebyshev's theorem, find the percentage of runners who ran this road race in 100 to 190 minutes.

Round your answer to the nearest integer.

Answers

Man I wish I new....

find the indicated unknown angle measure.​

Answers

Answer:

138 degrees

Step-by-step explanation:

Angle b and the 42 degree angle right next to it are supplementary angles. That means that 42+b=180

b=138

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