A software company has found that on Mondays, the polynomial function C(t) = −0.0625t4 + t3 − 6t2 + 16t approximates the number of callers to its hotline at any one time. Here, t represents the time, in hours, since the hotline opened at 8:00 A.M. How many service technicians should be on duty on Mondays at noon if the company doesn't want any callers to the hotline waiting to be helped by a technician?

Answers

Answer 1

Answer:

At least 16 service technicians

Step-by-step explanation:

Given

[tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]

Required

Number of service technician to be online at 12 noon

First, we calculate the value of t

[tex]t = 12\ Noon - 8:00AM[/tex]

[tex]t = 4[/tex]

Substitute [tex]t = 4[/tex] in [tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]

[tex]C(4) = -0.0625 * 4^4 + 4^3 - 6 * 4^2 + 16 * 4[/tex]

[tex]C(4) = 16[/tex]

This implies that there are 16 customers online at 12 noon.

If 16 customers are online, then there should be at least 16 service technicians online.


Related Questions

Help!
JH is a mid-segment of KLM. Find the value of x.

Answers

JH = mid-segment of triangle KLM.

ML = 22

(1/2)(ML) = 11

JH = (1/2)(ML) = x

So, x = 11.

someone pls help i’m failing this class

Answers

Answer:

Step-by-step explanation:

so if the cubic length is now shorter you have to make the object bigger. So now the rectangle would have a length of 6 squares and a height of 10 squares

Answer:

3 by 3

Step-by-step explanation:

make it go 3 squares to the right and 3 squares upwards for a total or 9 squares.

I NEEED TO DO THIS ASSIGHMEN T HELP PLS

Answers

angle B=90

now

A+B+C=180

90+A+C=180

A+C=90

What is the area of this figure

Answers

Answer:

64

Step-by-step explanation:

Answer:

on the red ? is 32 and on the blue ?is16

What is the value of the expression?

Answers

Answer:

6s2

= 6(2)2

= 12 × 12

= 144

: The value of the expression is equal to 144

In QRS, the measure of S=90, the measure of Q=64, and RS=16

Answers

Answer:17.8 feet

Step-by-step explanation:

5x + 5(x - 18) = 0 what is x

Answers

Here is what I got
Hope this helps!

Answer:

x = 9

Step-by-step explanation:

5x + 5x - 90 = 0

5x + 5x = 90 + 0

5x + 5x = 90

10x = 90

x = 9

Hope that helps!

-Sabrina

Find the distance between the points −9, 7 and −9, −5. A) 12 B) 14 C) 16 Eliminate D) 18

Answers

Answer:

its 14

Step-by-step explanation:

N a typical 2-pound bag of M&Ms contains 500 individual pieces, of which... 120 are blue, 70 are brown, 80 are green, 100 are orange, 60 are red, and 70 are yellow. If I randomly select one M&M candy from the bag, what is the probability that candy will be red?

Answers

Answer:

0.12

Step-by-step explanation:

Number of red candies = 60

Total number of candies = 500

Recall :

Probability of event A = number of occurrences of A / total number of occurences

= required outcome / Total possible outcomes

The probability of randomly selecting a red candy is :

= number of red candies / total number of candies

= 60 / 500

= 0.12

Can u answer my question please?

200(1-0.80)^2

Answers

Answer:

the answer is 8 hope it helped <3

Step-by-step explanation:

Answer: 8,

I apologize if I'm wrong. Good luck!

Step-by-step explanation:

First, you need to do parenthesis, 1-0.80=0.2

Then, you do exponents, 0.2^2=0.04

Last, you do 200x0.04=8

What is the slope between the points (1,5) and (3, 15)

Answers

Answer: 5/1 or just 5

Steps:
3 - 1 = 2 run
15 - 5 = 10 rise

Please help me with geometry :(

Answers

Answer:

I think it's C is true but make sure

the answers are
1. 15
2. 60
3. 30

Tamika makes $ 378.00 on the sale of a home theater system that costs $9.000.00. Express her rate of commission as a percent rounded to the nearest whole number

Answers

Answer:

4%

Step-by-step explanation:

commission rate = (amount earned on sales / total cost of items sold) x 100

[tex]\frac{378}{9000}[/tex] × 100 = 4.2%

To convert to the nearest whole number, look at the first number after the decimal,

if it is equal to or greater than 5, add 1 to the number before the decimalif it is less than five, add 0 to the number before the decimal

two is less than 5, thus we would add zero to 4.

4.2% becomes 4%

Someone plz help me!!! I will give brainliest

Answers

Answer:

Step-by-step explanation:

the 2nd one

that's easy, the last choice

a=1/2b*h

Fran bought 4 shirts that were each $13 each. She also bought a pair of socks for 4.29. What was the total amount Fran pair for the shirts and socks?

Answers

4x13=52 52+4.29=56.29

Find the distance between the pair of points.
(2, 2) and (6,5)

Answers

The answer is 5, you are welcome!

A store pays $42.00 for a pair of shoes and marks the price up by 50%. What is the selling price? A $63.00 b $76.00 c $84.00 d $37.00

Answers

Answer:

63.00

Step-by-step explanation:

Increasing a price by 50% is like adding half of the original price to get an updated price. 42 times 50% or divided by 2 (Since it produces the same result) is 21 and 21 plus 42 is 63. 63 dollars is the correct answer which means the correct option is option A.

Answer: 84

Step-by-step explanation: do 42 dived by 50% gets you 84

Can anyone help me with where to put the arrows ?

Answers

The answers is a .......

Look at the ratio table below. Fill in the missing information.
3
12
4.
12
20

Answers

Answer:

its suppose to be 3, 6, 9, 12, 15

and 4, 8, 12, 16, 20

Una garrafa de aceite equivale a 5 botellas y 3 garrafas es igual a 7, las cuales suman 11 litros, ¿Cuál es las capacidad de una botella y una garrafa?

Answers

Respuesta:

Botella, B = 0.5

Jarra, C = 2,5

Explicación paso a paso:

Dejar :

Garrafa = C

Botella = B

C = 5B - - - - 1)

3 garrafas más 7 botellas = 11 litros

3C + 7B = 11

C = 5B

3 (5B) + 7B = 11

15B + 7B = 11

22B = 11

B = 11/22

B = 1/2 = 0,5

Sustituyendo B = 0.5 en 1)

C = 5B

C = 5 (0,5)

C = 2,5

help pls pls pls pls pls pls pls pls​

Answers

Answer:

b=60 c=70 a=50 d=70 e=60 f=50

Step-by-step explanation:

please help me with this problem

Answers

Answer

Equation Simplified = 35 +0.05 x 35 = 36.75

Step by step

5% = 0.05

35 in this equation represents the principle

0.05 represents the rate

35 + 0.05 x 35 = 36.75

Simplified Equation: 35 +0.05 x 35

Price After Markup = 36.75

How do you graph this (real answers only)

Answers

Answer:

Yes in a mathematical way I was correct with the answer I first displayed here but my answers weren't to your satisfaction so If I may....

Step-by-step explanation:

heres a graph

Pls help me with it!!!!!!

Answers

Answer:

I dont really know but I can tell you for sure its one of the first 2

Step-by-step explanation:

Write 3-5 sentences about the process of the Sums and differences of cubes Factoring Method

Answers

Answer:

nah nah mane 12

Step-by-step explanation:

Answer:

Step one: Decide if the two terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer. In this case, the two terms only have a 1 in common which is of no help.

Step 2: Rewrite the original problem as a difference of two perfect cubes.

Step 3a: “Write What You See” If you disregard the parenthesis and the cubes in step 2, you should see:

Step 3b: “Square-Multiply-Square” If you square the first term, x, you get x2. If you multiply the two terms, x and 4, you get 4x. Finally, if you square the second term, 4, you get 16.

Step 3c: “Same, Different. End on a Positive” This will determine the signs of the problem. The first sign should be the same as the original question, the next sign should be different then the first, and the last sign should always be positive.

Step 4: Write the final answer.

Step-by-step explanation:

NEED THIS SOLVED ASAP PLS HELP ME!!!

Answers

Answer:

x= 1 ±√21/3

x= 2.52753

x= - 0.527525

Step-by-step explanation:

-(-6) ±√-6² - 4 (3) (-4) / 2(3)

6±√36 -(-48) / 6

6±√84/6

6±2√21/6

6/6 ±2√21/6

1±√21/3

1+ √21/3 = 2.52753

1-√21/3= - 0.527525

Step-by-step explanation:

[tex]3x ^{2} - 6x - 4 = 0[/tex]

[tex]by \: quadratic \: formula[/tex]

[tex](-b±√(b²-4ac))/(2a) [/tex]

[tex] - ( - 6)±√( - 6²-4(3)( - 4) /(2 \times 3) [/tex]

[tex](6±√(36 + 48)/(6) [/tex]

[tex](6±√(84)/(6) [/tex]

[tex](6±2√21)/6[/tex]

[tex]2(3±√21)/6 [/tex]

[tex]3±√21/3[/tex]

[tex]let \: \alpha \: and \: \beta \: be \: two \: roots \: .[/tex]

[tex]3 + \sqrt{21} /3[/tex]

[tex]3 + 4.58/3[/tex]

[tex]7.48/3[/tex]

[tex]2.52[/tex]

[tex]and \: second \: root \: = 3 - \sqrt{21} /3[/tex]

[tex]3 - 4.58/3[/tex]

[tex] - 1.58/3[/tex]

[tex] - 0.52[/tex]

[tex]so \ \: alpha = 2.52 \: and \: \beta = - 0.52[/tex]

hi please help i’ll give brainliest

Answers

Answer:

The answer is 28y + 63

Step-by-step explanation:

7(4y+9)

=28y+63

the correct answer is b. i hope this helps!! :)


8. Duane packed some books in a box shaped like a rectangular prism. The volume of
the box is 168 cubic inches. Which model could represent Duane's box?

Answers

The answer is D_______


Please help quarter ends tomorrow and I don’t know what to do I’m failing all my classes

Answers

Answer:

The answer is: x-y-10=0

Solve for x.
-2x-3=-7

Answers

-2x-3=-7

add 3 to both sides

-2x=-4

isolate x by diving both sides by -2

Answer: x=2

Hope that helps!

Please mark brainliest

Answer:

x = 2

Step-by-step explanation:

The whole goal when solving problems like this is to get the x alone. So the first step would be to get the -3 over to the other side. To do this, you would add 3 to each side of the equation, so that the -3 on the left side cancels out.

-2x - 3 = -7

+3          +3

-2x = -4

The next thing you need to do is divide each side by -2. You would do this because right now, the equation reads "negative two times x equals negative four". When you divide a multiplication problem, it cancels out, so you are left with just the x.

-2x = -4

÷ -2    ÷ -2

x = 2

You now have the value of x.

Please let me know if you need any more help. I hope this explanation helps you understand a bit better. Have a great day! :)

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