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Irina18 [472]
2 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:
motikmotik2 years ago
8 0

Answer:

a

Step-by-step explanation:

SashulF [63]2 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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G(x)=3x^2-5x-9 find g(x+2)
Anna35 [415]
Answer: 3x^2 + 7x -15
I dunno if u want me to factor it tho
7 0
2 years ago
Jason places a mirror on the ground 40 feet from the base of a tree. He walks backwards until he can see the top of the tree in
MakcuM [25]
Given that the angle of incidence is equal to the angle of reflection, we can state tha the angle formed by the eyes of Jason with the mirror is equal to the angle formeb by the top of the three with the same mirror.

Then, you can write this similarity equation:

[height of the eyes of Jason] / [distance from the poistion of Jason to the image on the mirror] = [height of the tree / distance from the mirror to the base of the tree]

6feet / 8feet = x/40feet

x = 40feet *[6/8] = 30 feet.

Answer: 30 feet.
4 0
2 years ago
Read 2 more answers
Avon Edwards worked 45.5 hours at $5 per hour. He made $100 in tips but no bonuses. Anything over 40 hours is paid time-and-a-ha
posledela

Answer:

1. D

2. B


Step-by-step explanation:

<u>Question 1:</u>

We can get Avon's earnings using the equation  W=HR+1.5VR+B+T

Where W is his earnings

HR is the regular hours (40 hours in this case)

V is overtime hours (hours over 40, 45.5 - 40 = 5.5 hours)

B is bonus (no bonus)

T is tips ( $100 tips, given)

and R is the rate (which is $5 per hour)


<em>Substituting the given info into the equation, we get:</em>

<em>W=HR+1.5VR+B+T\\W=(40)(5)+1.5(5.5)(5)+0+100\\W=341.25</em>


<em>So avon's earnings are $341.25</em>

<em>Answer choice D is right.</em>


<u>Question 2:</u>

The other employee needs to work x hours @ $15 per hour to equate or surpass $428. So we can set up the equation shown below and solve for x:

(15)(x)=428\\x=\frac{428}{15}\\x=28.53

Rounded to 1 decimal place, this is about 28.5 hours

Answer choice B is right.


6 0
2 years ago
Read 2 more answers
Zack borrowed $1,087 for 12 months at 11% interest. if he must pay 11.00 per $100, what is the total amount of money he will rep
Naddika [18.5K]

Answer:

The correct option is d.

Step-by-step explanation:

It is given that Zack borrowed $1,087 for 12 months at 11% interest. It means he must pay 11.00 per $100.

Formula of simple interest:

I=\frac{P\times r\times t}{100}

Where P is principal amount, r is rate of interest in percentage and t is time in years.

I=\frac{1087\times 11\times 1}{100}

I=119.57

The interest paid by Zack is $1,087.

The total amount of money he will repay is

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Therefore option d is correct.

0 0
2 years ago
Read 2 more answers
The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weig
Annette [7]

Answer:

0.24315

Step-by-step explanation:

Using the z score formula to solve this question

z = (x - μ) / σ,

Such that:

x = raw score

μ = population mean

σ = population standard deviation.

From the question:

x = 3000

μ = 3550

σ = 870

z = (3000 - 3550) / 870

z = -550/870

z = -0.6962

Using the z score table as well as probability calculator(as requested in the question to find the z score)

The probability of having less than 3000 is obtained as:

P(x<3000) = 0.24315

7 0
2 years ago
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