Mathematics High School

6) The cost of a computer system increases with increased processor speeds. The cost C
of a system as a function of processor speed is estimated as C = 1234 - 35 + 1900,
where S is the processor speed in MHz. Find the processor speed for which cost is at a
minimum. [4 marks]​

Answers

Answer 1

Answer:

The speed is: 0.0142MHz

Step-by-step explanation:

Given

[tex]C(s) = 1234s^2 - 35s + 1900[/tex]

Required

The processor speed when the cost is at minimum

First, differentiate C(s) with respect to s

[tex]C(s) = 1234s^2 - 35s + 1900[/tex]

[tex]C'(s) = 2468s - 35[/tex]

The cost is at minimum when [tex]C'(s) = 0[/tex]

So, we have:

[tex]C' = 2468s - 35 = 0[/tex]

[tex]2468s - 35 = 0[/tex]

Solve for s

[tex]2468s = 35[/tex]

[tex]s=\frac{35}{2468}[/tex]

[tex]s\approx0.0142[/tex]

Related Questions

Please answer^^ I will give you brainlist!
Yes 5th grade math :clown face:

Answers

Answer:

Rhombuses

Step-by-step explanation:

It has four vertical lines, then draw a Venn Diagram, opposite to opposite.

Order from Venn Diagrams:

Quadrilaterals

Rectangles

Squares

Rhombuses.

A blue circular target is tacked onto a square corkboard. The area of the target is 75 square units. What is the area of the corkboard that is not covered by the target?

Answers

The Correct Answer Is 25 Square Units

1. What does PEMDAS stand for?
P:
E:
M:
D:
A:
S:

Answers

Answer:

P- arenthesis

E- xpontent

M- ultiplication

D- ivision

A- ddition

S- ubtraction

Answer:

Step-by-step explanation:

p=parentheses

e=exponents

m=multiplication

d=division

a=addition

s=subtraction

HELPP I WILL GIVE YOU BRAINLIEST!! i think the answer is 42x + 12 but i am not sure!!

Answers

you are right because if it was perimeter u would have to add all the sides up

An object moves 100 m in 4 s and then remains at rest for an additional 1 s.

What is the average speed of the object?

Answers

Answer:

20 m per second

Step-by-step explanation:

100 / 5 = 20

Given f(x)=9+x and g(x)=3x-2, evaluate: fg(x)

Answers

Answer:

(f*g)(x) = 3x^2 + 25x - 18

Step-by-step explanation:

(f*g)(x) represents the product of the two functions f and g:

(f*g)(x) = 27x - 18 + 3x^2 - 2x, or, after simplification,

(f*g)(x) = 25x - 18 + 3x^2, or

(f*g)(x) = 3x^2 + 25x - 18

Omar rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 98 cents for each mile driven. Omar had to pay when he returned the truck. For how many mile did he drive the truck?

Answers

The given question is incomplete. The complete question is:

Omar rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 98 cents for each mile driven. Omar had to pay $23 when he returned the truck. For how many mile did he drive the truck?

Answer: Omar drove the truck for 5.15 miles

Step-by-step explanation:

Base fee = 17.95 $

Additional charge per mile = 98 cents = 0.98 $     ( 100cents = 1$)

Now Omar payed = 22 $

Let the miles he travelled = x

Now , [tex]17.95+0.98\times x=23[/tex]

Solvimg for x :

[tex]x=5.15miles[/tex]

Thus Omar drove the truck for 5.15 miles

Answer number two please please

Answers

Answer: 11

Step-by-step explanation:

Sooooo all I did was take the formula for the area of a triangle ( A= 1/2(b)(h) 0 and plug In the values. So 'b' would be 4 and 'h' would be 5.5. I assumed this rectangle had equal widths and equal heights.

Please please help me it would mean a lot. Find the area

Answers

Answer: 10.825 Unit ^2

Explanation: Formula for area of triangle: A = 1/2 bh. Plug in variables. A = (1/2) (4.33)(5). Solve.

What is the difference between 3/4 and one

Answers

Answer:

3/4 is 0.75 and 1 is 1

Step-by-step explanation:

:\

The expression shown below was generated using a graphing calculator. Solve the expression and answer in correct scientific notation.
(4.5E6)(2.3E7)
A) 1.035×1014
B) 1.035×1013
C) 6.8×1013
D) 2.2×1013

Answers

The answer to your question is D

What angle of rotation maps p onto P'?

Answers

Alms Alan’s Alanaj am so

Please help me, I’m struggling

Answers

Answer:

28[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

[tex]\sqrt{96}[/tex]

= [tex]\sqrt{16(6)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{6}[/tex]

= 4[tex]\sqrt{6}[/tex]

Then

7[tex]\sqrt{96}[/tex]

= 7 × 4[tex]\sqrt{6}[/tex]

= 28[tex]\sqrt{6}[/tex]

How many years would it take for
£109.27 to be accrued after
£100 is invested with 3%
pa compound interest.
Years:

Answers

Answer:

3 years approx

Step-by-step explanation:

Given data

Principal=£100

Amount= £109.27

Rate= 3%

The expression for the compound interest is

A=P(1+r)^t

Make t subject of formula we have

t= ln(A/P) / r

t= ln(109.27/100)/ 3

t= ln(1.0927)/0.03

t= 0.088/0.03

t= 2.93

Hence the time is 3 years approx

help a girl out? please ​

Answers

Answer:

21/20

Step-by-step explanation:

Which expression is equivalent to
1/3b -7

Answers

Answer:

2/6b-7

Step-by-step explanation:

Answer:

1/3(b-21)

hope it helps :)

Pls help! question is on picture, will mark brainlyest if its right

Answers

Answer:

sine=opposite/hypotenuse

sine=6/10

sine=0.6

sine^-1 0.6

=36.87

A map has a scale of 1 inch : 40 miles. Use the given map distance to find the actual distance.

1.) 12 inches
2.) 1 foot

Answers

If it is 1/40 as the ratio then multiple the top by 12 and bottom by 12 to get 480 miles

Answer:

480 miles

Step-by-step explanation:

If one inch equals 40 miles, then 12 times that would be 4800 miles.

1 Inch          12 Inches

---------- =  ------------------

40 Miles     480 Miles.

Cindy lost 28 pounds while on a diet. She now weighs 157 pounds. Write and solve an equation to find her initial weight

Answers

Answer:

The equation is 157+28=185.

157+ 28= 185

I think that’s right

i need help on this one to .

Answers

Answer:

Oh Lol i didnt even see the pic

Step-by-step explanation:

Answer:

5*2=10

10*8=80

Step-by-step explanation:

Multiply all number!!!

Choose the equation that best describes the situation below.
Lee is 32 years younger than his mother and his mother is 67 years old. How old is Lee?
a = Lee's age

Answers

Answer:

67-32=a

if his mom is 67 and he is 32 years younger 67 minus 32 would equal a which is his age

Cool-down Melanie and Kala each started solving equation 2 for x. 1 (7x – 6) = 6x – 10 The result of Melanie's first step was: 3.5x = 6 = 6x - 10 The result of Kala's first step was: 7x - 6= 12x - 20 One of them made an error. Who was it, and what was the error?
I need to find who made the error and what was the error ​

Answers

Answer:

Kala's first step.

Step-by-step explanation:

Solving linear equations.

Step 1: Simplify each side, if needed. Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side. Step 3: Use Mult./Div. Step 4: Check your answer. I find this is the quickest and easiest way to approach linear equations. Example 6: Solve for the variable.

But Kala did not do that. Instead, she skipped the first stages and moved on ahead, making her equation invalid.

Plz help. i need asap.
A bag contains blue, red, and green marbles. Paola draws a marble from the bag, records its color, and puts the marble back into the bag. Then she repeats the process. The table shows the results of her experiment. Based on the results, which is the best prediction of how many times Paola will draw a red marble in 200 trials?

A. about 300 times
B. about 140 times
C. about 120 times
D. about 360 times

Answers

Don’t click on link given in other answer, it’s a SCAM bot

Can someone help me on this I’m struggling to figure it out...

Answers

Answer:

It's D

Step-by-step explanation:

(3/2)^4= in fraction form help pls

Answers

Answer:

81/16

Step-by-step explanation:

Can someone help me with this. Will Mark brainliest. Need answer and explanation/work. Thank you.

Answers

Answer:

Parallel: y = -2x + 2 (Or any value that isn't 4), Perpendicular: 1/2x + (Anything),

Neither: y = 4x - 7 (Or any random equation that does not have the same, or opposite reciprocal slope)

Step-by-step explanation:

The length of a rectangle is five more than three time its width. The perimeter of a rectangle is 234. What is the width of the rectangle

Answers

Answer:

28 units

Step-by-step explanation:

Given data

Let the width be x

The length is =3x+5  

Perimeeter= 234

The expression for the perimeter is  

P=2L+2W

Substitute

234= 2*x+2(3x+5)

234= 2x+6x+10

Collect like terms

234= 8x+10

234-10= 8x

224=8x

x= 224/8

x=28

Hence the width is 28 units

What is the area of one of the triangular faces? in 2 4 in. 3 in. 7 in. 7 in. 5 in. 4 in. 5 in.​

Answers

Answer:

55

Step-by-step explanation:

The diameter of a circle is 6 kilometers. What is the area?

d=6 km

Give the exact answer in simplest form.
square kilometers

Answers

Answer:

28.27 rounded orrrr 28.27433388 not rounded.

Step-by-step explanation:

area of circle=πr^2

radius=3 km

3^2=9

9*π

Step-by-step explanation:

Area of a circle = πr²

Radius (r) =1/2 Diameter

=60/2

=30km

Area = π x (30)²

= π x 900

= 2027km²

») What is the circumference of the rim of a basketball hoop with a radius of 9 inches? First, multiply the radius by__ to get the diameter__ inches. Then, multiply the diameter by 3.14 (an approximation for 1) to get a circumference of
about__ inches. ») Convince Me! If the diameter is doubled, what happens to the circumference? Explain.​

Answers

Answer:

First, multiply the radius by 2 to get the diameter 18 inches. Then, multiply the diameter by 3.14 (an approximation for 1) to get a circumference of about 56.52 inches. If the diameter doubles the circumference doubles.

Step-by-step explanation:

18π = 56.52

36π = 113.04

56.52*2 = 113.04

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