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

Can some one plz help me

Answers

Answer:

Step-by-step explanation:

A is midpoint of DB

DA ≅ AB  ------------------(I)

B is midpoint of AE

BE≅ AB ---------------(II)

From (I) & (II)

DA ≅ AB    

∠D ≅ ∠E                Given

CD ≅  CE               {Sides opposite to equal angles are equal}

ΔCDA ≅ ΔCEB     { S A S congruent}

Answer:

AB = BA                            reflexive property

AB = BE and DA = AB     definition of midpoint

then DA = EB                            

CD = CE                           ΔCDE is isosceles

ΔCDA ≅ ΔCEB                SAS

Step-by-step explanation:

Help please!?!?!?!?!?!?!?!?!

Answers

Answer:

Your answer is D.

Step-by-step explanation:

If you need explanation ask me in comment

A rectangular prism is shown below. Find the volume. 1.3 ft 1.5 ft 2.3 ft 23 “ Your answer can be exact or rounded to the nearest tenth.​

Answers

Answer:

4.485 ( rounded = 4.5)

Step-by-step explanation:

1.3 x 1.5 x 2.3 = 4.485

Witch answer choice represents a person running 90 calories by climbing 18 flights of stairs

Answers

Where are the answer choices?

Answer:

fr

Step-by-step explanation:

fr

i bought a box of air head worth $7.98 there are 60 bars in the box, how much is 1 air head worth? please help

Answers

Answer:

$0.13

Step-by-step explanation:

7.98/60 = 0.133

round down to 0.13

Answer:

I believe the answer is $0.13

Step-by-step explanation:

You need to divide the price of the air heads ($7.98) by how many bars there were in the box (60).  7.98/60= 0.133

Then you round the answer to the nearest hundredth: 0.133= $0.13

the question is on the picture :)

Answers

Answer:

2.5

Step-by-step explanation:

y=kx, k is constant of prop

Hometown Gym charges a $200 membership fee and $45 per month. Local Gym charges a $50 membership fee and $55 per month. Write an equation to represent the situation. After how many months will the total amount of money paid to both gyms be the same?

Answers

Answer:

=> membership fee = $50

=> monthly fee = $55

=> First month = 105$

=> 50 + 55(x)

=> 50 + 55 (15)

=> 50 + 825

=> 875

Workout gym

=> membership fee = $200

=> monthly fee = $45

=> First month = 245$

=> 200 + 45(x)

=> 200 + 45(15)

=> 200 + 675

=> 875

Please help me.. I’m not really good at math so please??

Answers

what’s the question

Emily walked around 2 parks. One measures 54 feet by 38 feet and other measure 32 feet by 22 feet. How much did she walk?

Answers

Answer:

292 feet

Step-by-step explanation:

If Emily walked round the two rectangular parks, she walked round the perimeter of the parks.

the total distance she walked can be determined by calculating the perimeter of each of the park and adding the perimeters together

Perimeter of a rectangle = 2 x ( length + breadth)

Perimeter of the first park = 2 x (54 ft + 38 ft) = 184 ft

Perimeter of the second park = 2x (32 + 22) = 108 ft

Sum of the perimeters = 184 ft + 108 ft = 292 ft

What is the volume of the cone? Estimate using 3.14 for pi, and round to the nearest tenth

Answers

Answer:

V=πr2h3

 

r Radius

h Height

Right circular cone

Answer:

its going to be 21 or 20 I think I'm not sure

The expression on the left side of an equation is shown below.

3 x + 9 = box

If the equation has no solution, which expression can be written in the box on the other side of the equation?

Answers

I got no clue how to do this bruvvvvvvvvv

A rectangle is 60 cm long and 20 cm wide. Find, to the nearest tenth of a degree, the acute angle formed at the intersection of the diagonals.

Answers

Answer:

36.9°

Step-by-step explanation:

As shown in the diagram attached,

θ is the acute angle formed at the intersection of the diagonals of the rectangle.

From the diagram,

tan(θ/2) = 10/30

tan(θ/2) = 1/3

θ/2 = tan⁻¹(1/3)

θ/2 = 18.43

Therefore,

θ = 18.43×2

θ = 36.87

θ = 36.9°

Hence the acute angle formed is 36.9°


What is the distance from -7 to 5 on a number line?
2
4
-12
12

Answers

Answer:

12 units

Step-by-step explanation:

Find the absolute value of the difference , that is

d = | - 7 - 5 | = | - 12 | = 12 or

d = | 5 - (- 7) | = | 5 + 7 | = | 12 | = 12

The distance from -7 to 5 on a number line is 12 units. This distance between two integers is calculated by using a number line and the absolute value of the difference between those two integers.

What is a Number line?A number line is a graph for the real numbers.It is used to represent the integers on it at a regular interval. It is also used for finding arithmetic operations like the addition and subtraction of integers.The positive integers lie on the right side of the number line and the negative integers lie on the left side of the line The zero lies at the center of the line which separates the positive and negative integers.

How to calculate the distance between two integers on a number line?For calculating the distance between two integers, count every integer in between themA faster way of finding the distance between the two integers is by taking the absolute value of their differenceIf A and B are two integers, then the distance between them is given by |B - A|

Calculating the distance from -7 to 5 on the number line:

⇒ | 5 - (-7) |

⇒ | 12 |

= 12 units

Therefore, there are 12 units in between the given two integers -7 and 5 on a number line which is shown below

Learn more about the number line here:

https://brainly.com/question/3887107

#SPJ2

Find the slope of the line

Answers

Answer:

Your answe is 1

Step-by-step explanation:

Formula : y2-y1/x2-x1

answer :

the slope is 1

if m=2 , find the value of 5-m

Answers

Answer:

5 - 2 = 3

Step-by-step explanation:

Replace m with 2 since m=2

Answer:

3

Step-by-step explanation:

If m=2, then 5 - m(2) is 3, because 5 - 2 is 3.

Given two solutions x=-5 and x=7 of a quadratic function, is the value of a =1 or can the value of a different value?

Answers

i think it’s 19 not sure

PLEASE HELP ILL GIVE BRAINLY

Answers

Answer:

40.2

Step-by-step explanation:

In parallelogram ABCD, if ED = 7x - 13 and BD = 16x - 38, find BD.

Answers

Answer:

58

Step-by-step explanation:

The length of BD is 58  units.

What are properties of parallelogram?

The two diagonals cut across one another. The parallelogram is divided into two congruent triangles by each diagonal. A parallelogram's total square sum and total square sum of its diagonals are equivalent. Additionally known as the parallelogram law.

Given:

ED = 7x - 13 and BD = 16x - 38

So, the Diagonals of parallelogram bisect each other

BD = ED+ EB

16x - 38 = 2 ED   { ED= EB}

16x - 38 = 2 (7x- 13)

16x - 38 = 14x - 26

2x = 12

x= 6

So, length of BD = 16(6) - 38 = 96- 38 = 58 units

Learn more about properties of parallelogram here:

https://brainly.com/question/26651476

#SPJ2

If the surface area of a cube is 384 square inches, what is the length of each side

Answers

Answer:

There are six equal surfaces of a cube. Then,

384 / 6 = 64 sq in (the area of one surface)

The area of one surface of a cube will be equal to x*x (if we let the edge length be x)

x^2 = 64

x = 8 inch

Step-by-step explanation:

please help me im giving you a lot of points

Answers

Answer:

7w13 times4y2

Step-by-step explanation:

If the sum of 37 and 12 x is 286, what is the value of x?

Answers

Answer:

x = 20.75

Step-by-step explanation:

37 + 12x = 286    <-- Subtract 37

12x = 249     <-- Divide by 12

x = 20.75

TIMED TEST. HELP

The standard form of an absolute value function is fx) = a |x-h| + k. Which of the following represents the vertex?
O (-k, h)
0 (-h, k)
O (k, h)
O (h, k)

Answers

I believe it is B, k is always y, meaning -h would have to be x
The answer Is B!! Hope this helps

Please help!!!! I need it

Answers

Answer:

Look to explanation for help with answer :)

Step-by-step explanation:

Each year 50 new bulbs are added, so the gardener can expect that many added plants each year. So add 50 6 times and that will get to how many new bulbs will be added by 10 years time. More and more plants will be added each year and depending on which method the gardener chooses to use it will affect the buying amounts for each year as well as how many are bought.

I hope this helps! Good luck!

work out the equation of the line which has a gradient of 2 and passes through the point (1, 4)

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

The slope is also called the gradient of the line.

The slope that is given is two, and the point is (1, 4).

I made a point slope equation, and then converted it into a slope-intercept equation.

[tex]y-4=2(x-1)\\\\y-4=2x-2\\\\y-4+4=2x-2+4\\\\\boxed{y=2x+2}[/tex]

Hope this helps.

8. A rectangular prism measures 5 cm by
9.5 cm by 17.2 cm. What is the volume of the
prism?
10.
pyra
руга
the P
A. 31.7 cm3
B. 272.3cm
C. 296.9 cm3
D. 817 cm3
A. 4
B. 5
C. 1
D. 1

Answers

your answer is 817 cm3.
Anwser would be 185 or 183 due to the ryethem

And the second question asks

Are the systems of equations
equivalent?

Yes
No

Answers

137484-933838-bjssjjd

Check out this rectangular prism: Find the surface area of the rectangular prism (above) using its net (below).

Answers

Answer:

Please tell me more

Step-by-step explanation:

The Answer is 52 because you have to count all the squares, and that is the surface area. I hope this helps

I know i already answered it i just want to make sure im right can someone double check it for me! Sorry

Answers

Answer:

You are correct!!! (<5 and <4 , <3 and <6)

Step-by-step explanation:

5 and 6 are on the same line so they are not alternate and angle 1 is on the outside.

The function y = f(x) is graphed below. Plot a line segment connecting the points
on f where x = -5 and x = 1. Use the line segment to determine the average rate
of change of the function f(x) on the interval –5 < x < 1?

Answers

Answer:

no not really

Step-by-step explanation:

the values dont match up

Johnny starts run at the 2 mile mark and runs 4 miles per hour. Javier starts at the 6 mile mark and runs 2 miles per hour. How long until Johnny catches up with Javier?

Answers

Answer:

2 hours

Step-by-step explanation:

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