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

Solve 3x2−3x=0 by factoring.

Answers

Answer:

3x(x-1) = 0

x= 1

Step-by-step explanation:

is 3x2 supposed to mean 3x^2 i dont know

can u help me with this question ​

Answers

Answer:

3. y = -2√(x+3) - 5

Explanation:

reflected across the x-axis: the y is negative (2 eliminated)

vertically stretched by a factor of 2 (they're all stretched by a factor of 2)

translated left 3 units (1 eliminated)

translated down 5 units (4 eliminated)

3 is left which is y = -2√(x+3) - 5

Multiply. Write your answer as a fraction in simplest form.

−1(45)=

NO LINKS PLEASE !!!!!!!!!!!!!!!!!!
if you do i will report your answer

Answers

Answer:

no worries :)

Step-by-step explanation:

Answer:-45

Step-by-step explanation:

plz help me 2 plz 2 plz 2

Answers

Step-by-step explanation:

P(-4,7)

Q(-1,-1)

R(-8,-1)

So if the following system of equations by substitution.

7x+2y= -13
-3x-8y= -23

A. (-3,1)
B. (-3,4)
C. (1,3)
D. (1,1)

Answers

Step-by-step explanation:

Option B is correct.

I'm sure (-3 , 4)

Answer:

x=-3, y=4. (-3, 4). B)

Step-by-step explanation:

7x+2y=-13

-3x-8y=-23

-------------------

4(7x+2y)=4(-13)

-3x-8y=-23

---------------------

28x+8y=-52

-3x-8y=-23

-------------------

25x=-75

x=-75/25

x=-3

7(-3)+2y=-13

-21+2y=-13

2y=-13-(-21)

2y=-13+21

2y=8

y=8/2

y=4

Graph a line with a slope of 3/4 that contains the point (2,-3).​

Answers

Answer:

Start at the y-intercept (0, -4.5) and then use rise over run (Up 3 and right 4)

Step-by-step explanation:

y - y1 = m(x - x1)

y + 3 = 3/4(x - 2)

y + 3 = 3/4x - 3/2

y = 3/4x - 9/2

Please answer correctly!! I’ll mark as brainliest!

No links no fake answers

Answers

Answer:

6) 33

7) 26.5

..................

Find the midpoint of the segment with the following endpoints.
(-3,5) and (0, -1)

Answers

i think it’s (-1.5,2)

A carpenter lays 18 square feet of tile in 2/3 of an hour. How many square feet of tile does the carpenter lay per hour?

Answers

Answer:

x=24

Step-by-step explanation:

there are different ways to solve the problem

set up a proportion:

16/(2/3)=x/1

cross multiply

(2/3)x=16

(3/2)(2/3)x=(3/2)(16)

x=24 square feet per hour

a carpenter lays 16 square feet in 40 minutes (2/3 of an hour)

this means he lays 4 square feet every 10 minutes

8 square feet in 20 minutes

12 square feet in 30 minutes

24 square feet in 60 minutes

What angles are congruent and opposite each other when lines intersect

Answers

Answer:

Vertical angles.

Step-by-step explanation:

Verticals angles hope I helped

What’s the area of this polygon answer ASAP my teacher died

Answers

Answer:

Break it into 2 sections: 18 by 3 and 6 by 20

area = 54 + 120

= 174 (answer is A.)

Step-by-step explanation:

9514 1404 393

Answer:

  A.  174

Step-by-step explanation:

Use your number sense. The area can be no larger than the rectangle that is 20 high and 9 wide. That rectangle's area is ...

  A = LW = (20)(9) = 180

The only answer choice smaller than 180 is ...

  A.  174 . . . . . square units

__

If you want to compute it exactly, you can make note of the size of the empty space at the upper left corner. That space is 20-18 = 2 units high and 9-6 = 3 units wide. Its area is A = LW = (3)(2) = 6 square units. When that empty space is subtracted from the overall rectangle area, the result is ...

  180 square units - 6 square units = 174 square units.

If the diameter of a penny is 19.05 mm on each penny is 1.52 mm thick, what is the approximate volume of the roll of the roll of pennies? Use 3.14 for pie and round your answer to the nearest tenth.

Answers

Answer:433.0mm3

Step-by-step explana

What is the unit rate for the proportional relationship represented by the equation y=4/5x
Answer choices:
A:4/5
B:-2
C:4
D:5

Answers

Answer:

A: 4/5

Step-by-step explanation:

The equation for proportionality is y = kx, where k is the constant of proportionality. That is what you're looking for in this question.

So in y = 4/5x, 4/5 is the constant of proportionality/unit rate for the proportional relationship.

The 4/5 is the constant of proportionality/unit rate for the proportional relationship.

We have given that,

the unit rate for the proportional relationship is represented by the equation y=4/5x.

We have to determine the unit rate

What is the equation of proportionality?

The equation for proportionality is y = kx, where k is the constant of proportionality.

So in y = 4/5x,

The 4/5 is the constant of proportionality/unit rate for the proportional relationship.

To learn more about the proportionality visit:

https://brainly.com/question/24868934

#SPJ2

Use the given equation to complete the table s = 16t^2 using the points from the table select the graph the best represents the equation a. 0, 16, 64, 144; graph a b. 0, 4, 8, 12 graph a c. 0, 16, 64, 144; graph b d. 0, 4, 8, 12; graph b

Answers

Answer:

0, 16, 64, 144

Step-by-step explanation:

I substituted the t values into the giving equation and solved until it gave the s values.

I hope this helps^-^

Answer:

It's A

0, 16, 64,144 graph A edge

Step-by-step explanation:

I got it right see

What shape is made from these the following points? (1,1),(4,4),(4,1),(1,4)

Answers

Answer:

Rectangle

Step-by-step explanation:

Draw the dots on a grid and connect the dots

two sides have length of 3

two sides have length of 4

You are entering a fitness competition at school. Students train for several weeks to win prizes for different competition. 2) Last years winner set a school record by completing 37 sit-ups. You need to find out how many weeks you need to train to beat this record. Part B: Write the inequality and graph the solution. How many weeks will it take you to break the record?

Answers

Answer:

first you divide 2by 37 that will be the answer

Slope- intercept equation from a graph

Find the equation of the line

Answers

We can find the slope using any two points on the line. Readily identifiable are the points (2, 0) and (0, 3), from which we can find the slope:

[tex]\text{slope} = m=\frac{y_2-y_1}{x_2-x_1} \\ m = \frac{3-0}{0-2} = -\frac{3}{2}.[/tex]

The y-intercept is the y value when x = 0, which we already know is 3. So, the slope-intercept equation of this line is:

[tex]y=-\frac{3}{2}x+3.[/tex]

How many inches are equal to 14 feet?

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Random GUIDE for you to go by}\downarrow[/tex]

• [tex]\large\textsf{12 inches = 1 foot}[/tex]

• [tex]\large\textsf{You have to MULTIPLY the \# (NUMBER) of feet by 12 (also known as} \\\large\textsf{your inches)}[/tex]

[tex]\large\text{So now that you have that little guide, we can answer your question.}[/tex]

[tex]\large\textsf{\# of FEET in this given word problem/question is: \bf 14}[/tex]

[tex]\large\textsf{So, we have to multiply that by the inches: \bf 12}[/tex]

[tex]\large\textsf{Equation: }\mathsf{14\ feet \times 12\ inches = \bf 168 \ inches }[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 168 inches}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

1. A rectangular fish tank 60 cm by 15 cm by 34 cm find the volume of water needed to fill the tank 2/3 of the given aquarium.

First correct answer will be brainlist ​

Answers

yes i will because 60+15 is 75

ILL BRAINLIEST YOU IF YOU GET IT RIGHT

Can you help me match each figure with the appropriate angle pair relationship

Answers

Answer:

co interior angle plz take my and

Answer:

1) Alternate exterior

2) alternate interior

3) consecutive interior angles

Alright so here’s a trick

Alternate already means different sides so look for that.

Interior angles are all the angles inside the two parllel lines.

Exterior angles are all angles out side the two parralel lines.

No matter what if its alternative interior or exterior, it should make a perfect

“/“ or back slash.

Consecutive is on the same side.

Corresponing is also on the same side but it has 1 exterior and 1 interior

Write the equation of the line that passes through the points (3, 4) and (5, 8)

Answers

Answer:

y=2x-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-4)/(5-3)

m=4/2

m=2

y-y1=m(x-x1)

y-4=2(x-3)

y=2x-6+4

y=2x-2

PLZ HELPPP.3+28/z +4s use z=7 and s=5

Answers

3+28/7+4*5 /reduce the fraction with 7
=> 3+4+20
=> 27

Number 1 help please

Answers

Answer:

D

Step-by-step explanation:

the figure is in the origin therefore no reflection will affect the shape

Find the area of each figure.



Please no links
Please help meee
This is the last question for my assignment

Answers

The area of the circle is pie times radius squared. In this case the radius is 3.5 and that to the second power would be 12.25

(What your finding is a half circle so you can divide by two if needed but the total area would not change since you would be adding them together anyway)

The rectangle is 77 because the area is base times height.

I hope I was helpful!

Dina added five-sixths of a bag of soil to her garden. Her neighbor Natasha added eleven-eighths bags of soil to her
garden. How much more soil did Natasha add than Dina?

Answers

Answer:

Natasha added 13/24ths more than Dina.

Step-by-step explanation:

By getting common denominators you have 66/48-40/48 then you get 26/48 and you just simplify this by 2 to get 13/24ths.

Love you, hope this helps.

Which expression is not equal to 1?

sin θ csc θ

cos θ sec θ

tan θ cot θ

sin θ cos θ

Answers

Hopes this helps if it is wrong I am so sorry:

Answer: sin 0 cos 0

sin θ cos C

Step-by-step explanation:

Suppose,  θ=30°

Suppose,

     sin θ cos θ=1

 ⇒sin30°cos30°=1

 ⇒[tex]\frac{1}{2}[/tex]×[tex]\frac{\sqrt{3\\} }{2}[/tex]=1

 ⇒[tex]\frac{\sqrt{3} }{4}[/tex]≠1

On number line below, length AB =? A16 B45

Answers

Answer:29

Step-by-step explanation:

d[AB]=|45-16|=29

A number line is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

The length AB is 29.

AB = 29 is our answer.

What is a number line?

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

A is at point 16.

B is at point 45.

Now,

The distance between A and B.

= B - A

= 45 - 16

= 29

Thus,

The length AB is 29.

AB = 29 is our answer.

Learn more about number line here:

https://brainly.com/question/13425491

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i cant solve this help –8x + 15 < 71

Answers

Answer:

x > -7

Step-by-step explanation:

Isolate the variable, x. Treat the < sign like an equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& roots)

Multiplication

Division

Addition

Subtraction

First, subtract 15 from both sides:

-8x + 15 (-15) < 71 (-15)

-8x < 71 - 15

-8x < 56

Next, divide -8 from both sides of the equation. Note that when you divide by a negative number, you must flip the sign:

(-8x)/-8 < (56)/-8

x < (56)/-8

x > -7

x > -7 is your answer.

~

Answer:

Any number greater than but excluding -7.

Step-by-step explanation:

-8x + 15 < 71

-8x < 71 - 15

-8x < 56

56 divided by -8 = -7

So, that means anything greater than -7 would result in a lower number than 71.

please helppppppppp lol

Answers

Answer:

x = 20

Step-by-step explanation:

angle 2 and 3 are congruent, becaus they are alternate interior angles. So, 3x-10 = x+30, 2x = 40, x= 20.

Find the area of trapezoids

Answers

Answer:

Area is 10.5

Step-by-step explanation:

We can use the trapezoid formula of

[tex]A = \frac{a+b}{2}h[/tex]

A = (2 + 5) / 2 * 3 = 3.5 * 3 = 10.5

or break it into a rectangle and a triangle (natural split by y axis).

A = 2 * 3 + 3 * 3 / 2 = 6 + 9 / 2 = 6 + 4.5 = 10.5

Answer:

10.5 units²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = OS = 3 , b₁ = OC = 5 , b₂ = SK = 2 , then

A = [tex]\frac{1}{2}[/tex] × 3 × (5 + 2) = 1.5 × 7 = 10.5 units²

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