SHOW YOUR STEPS PLEASE. SOMEONE PLEASE HELP ME I NEED THE ANSWER ASAP!!!

The cost, c(x), in dollars per hour of running a certain steamboat is modelled by the function c(x)=1.7x^2-13.6+166.4, where x is the speed in kilometres per hour. At what approximate speed should the boat travel to achieve minimum cost? what is the minimum cost?​

Answers

Answer 1

Answer:

x = 4

139.2

Step-by-step explanation:

Given the Cost function :

C(x) = 1.7x² - 13.6x + 166.4

To achieve minimum cost ;

dc/dx = 0

dc/dx = 2(1.7)x - 13.6

3.4x - 13.6 = 0

3.4x = 13.6

x = 13.6 / 3.4

x = 4

To achieve minimum cost, speed = 4 ;

Minimum cost will be :

C(x) = 1.7x² - 13.6x + 166.4

Put x = 4

C(4) = 1.7(4)² - 13.6(4) + 166.4

C(4) = 27.2 - 54.4 + 166.4 = 139.2

Minimum cost = 139.2


Related Questions

Which of the following is the product of the rational expressions shown
below?

Answers

Answer:

here's the answer to your question

Amanda's sewing a flag for a competition. The dimensions of her flag are shown below. Approximately, how many square yards of black material will Amanda need to make the flag?

Answers

To calculate the area of the black material on the flag, we need the shape and the dimensions of the black material itself.

Since the question is incomplete, as the dimension of the flag and the dimension of the black material are not given, I will provide a general explanation.

Assume the shape of the black material is a rectangle.

The area will be calculated as:

[tex]Area = Length * Width[/tex]

Take for instance;

[tex]Length = 4yd;\ Width = 5yd[/tex]

[tex]Area = 4yd * 5yd[/tex]

[tex]Area = 20yd^2[/tex]

Assume the shape of the black material is a square.

The area will be calculated as:

[tex]Area =Length^2[/tex]

Take for instance;

[tex]Length = 4yd[/tex]

[tex]Area = (4yd)^2[/tex]

[tex]Area = 16yd^2[/tex]

Assume the shape of the black material is a triangle

The area will be calculated as:

[tex]Area = 0.5 * Base * Height[/tex]

Take for instance;

[tex]Base = 4yd;\ Height = 5yd[/tex]

[tex]Area = 0.5 * 4yd * 5yd[/tex]

[tex]Area =10yd^2[/tex]

So, in general.

You need to first get the shape of the black segment on the flag, then calculate the area using the appropriate formula.

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A soccer player stands at one corner of a field and kicks a soccer ball 95 yards to the opposite corner. If the field is 76 yards long, what is the width?

Answers

= 57 yards.

Step-by-step explanation:

95 yards is the diagonal of the field

76 yards is the length

Find the width.

This set-up will for a right angled triangle with a length of 76 yards and Hypotenuse of 95 yards. Therefore the height will represent the width of our Rectangle.

[tex]{b}^{2} = {c}^{2} - {a}^{2} \\ {b}^{2} = {95}^{2} - {76}^{2} \\ {b}^{2} = 9025 - 5776 \\ \sqrt{ {b}^{2} } = \sqrt{3249} \\ b = 57yards[/tex]

of (3, -2) reflected across the line x = 1 is?

Answers

Answer:  (-1, -2)

===========================================================

Explanation:

Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.

Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)

In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)

See the diagram below.

Which of the following graphs best represents the solution to the pair of equations below?

y = −x + 6

y = 2x − 3

Answers

May you post the graph please or else I cannot answer your question for you

Which of the following equations represents a line that is perpendicular to
y = -4x+9 and passes through the point, (4, 5)?
O A. y - 1x+6
OB. y = x +5
O C. y = *x+4
D. Y = -4x+4

Answers

Answer:

y = 1/4 x +4

Step-by-step explanation:

y = -4x+9

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

the slope is -4

Lines that are perpendicular have slopes that are negative reciprocals

The slope of the perpendicular line is -1 /(-4)  = 1/4

The perpendicular line is

y = 1/4x+b

It goes through (4,5)

5 = 1/4(4) +b

5 = 1+b

b=4

y = 1/4 x +4

please answer and no links please ....​

Answers

Step-by-step explanation:

ℎ = -4, -3×(-4)+2 = 12+2 = 14

ℎ = -2, -3×(-2)+2 = 6+2 = 8

ℎ = 0, -3×0+2 = -3+2 = 2

ℎ = 3, -3×3+2 = -9+2 = -7

ℎ = 5, -3×5+2 = -15+2 = -13

Need help ASAPPPPPPP

Answers

Answer:

A) 5

Step-by-step explanation:

51+48+15x+6=180

105+15x=180

15x=75

x=5

Find the Value of y. 70 60 65 40

Answers

Answer:

125

Step-by-step explanation:

360-70-60-65-40

= 125

Answered by GAUTHMATH

phương trình lượng giác cơ bản

Answers

Answer:

Phương trình lượng giác cơ bản: lý thuyết, cách giải, bài tập

Phương trình sin x = sin α, sin x = a.

2. Phương trình cos x = cos α, cos x = a.

3. Phương trình tan x = tan α, tan x = a.

4. Phương trình cot x = cot α, cot x = a. ...

5. Phương trình bậc nhất đối với một hàm số lượng giác. ...

6. Một số điều cần chú ý:

f(x)=square root 2x and g(x)=square root 50x find (f/g)(x)

Answers

Answer:

1/5

Step-by-step explanation:

(f/g)(x) = f(x)/g(x) = sqrt(2x)/sqrt(50x) = 1/5

Mary has borrowed 48 books from the library. This is 22% of all of the books in the library. How many books are in the library?

Answers

Answer:

218

Step-by-step explanation:  

ATQ,

22%of total books = 48

Let the total no. of books in library be x.

22/100x=48

x=4800/22

X=218(approximately)

When a weed solution is added to a lawn, the number of weeds can be represented by the function W(d)=1500(.75)^d where d is the number of days since application. By what percent does the population of weeds decrease each day

Answers

Number of weeds is represented by the function,

[tex]W(d)=1500(0.75)^d[/tex]

[tex]W(d)=1500(1-0.25)^d[/tex] -------(1)

Here, [tex]d=[/tex] Number of days since application

Function representing the exponential decay is,

[tex]A(t)=A(1-r)^t[/tex] --------(2)

[tex]A=[/tex] Initial value

[tex]r=[/tex] Percentage decay

[tex]t=[/tex] duration

By comparing both the functions (1) and (2),

[tex]r=[/tex] 0.25 ≈ [tex]\frac{25}{100}[/tex]

Or [tex]r=[/tex] 25%

Therefore, population of weeds will decrease 25% each day.

Learn more about exponential decay,

https://brainly.com/question/14355665?referrer=searchResults

Shown below is a piece of information on the sale of passenger vehicles that appeared in a newspaper. How many multi purpose vehicles were sold in the year 2006?

Answers

70,000 multi purpose vehicles were sold in the year 2006

First we need to know the equivalent of 1 lakh.

1 lakh = 100,000

From the table shown, we can see that 0.7 lakh multipurpose vehicle were sold in 2016.

Converting 0.7lakh to thousands:

0.7lakh= 0.7 × 100,000

0.7lakh = 70,000

This shows that 70,000 multi purpose vehicles were sold in the year 2006

Learn more: https://brainly.in/question/2811622

can i get some help on this question please? ASAP!!

Answers

Answer:

left is a very good approximately .9 POSITIVE correlation

right is a very good approximately -.9 NEGATIVE correlation

Step-by-step explanation:

Which expression is equivalent to (3a)–2?

Answers

Answer:

[tex] \frac{1}{9a { }^{2} } [/tex]

Step-by-step explanation:

I hope this help if it doesn't I'm sorry

Which point is on the graph of f(x) = 3 • 4X?

Answers

Answer:

D. (1, 12)

Step-by-step explanation:

Plug the number into the equation and solve it from there

f(x)=3×4^1

f(x)=3×4

f(x)=12

What is the area? please help

Answers

Answer:

70.875 [tex]km^{2}[/tex]

Step-by-step explanation:

Using the equation of area of trapezium

[tex]\frac{1}{2} * (a+b)h[/tex]

Put the value into the equation

[tex]\frac{1}{2}(4.8+5.7)*13.5[/tex]

Simplify the equation and you will get:

[tex]2.4*13.5=70.875 km^{2}[/tex]

So, the answer is 70.875km^2

Marcia, Maureen, and Mario want to buy a $132 present for Sarah. Maureen is paying one half of Marcia's quantity, and Mario, one third of Marcia's quantity. Luckily for them the item has an 18% discount
How much is Mario paying?

Answers

Answer:

$19.68

Step-by-step explanation:

this is not really clearly defined.

I assume it means that they are buying the item, no matter how much it costs, and that the split ratio between them also remains the same no matter the actual cost.

x = what Marcia is paying

and 132 - 18% = 132 × (100 - 18) / 100 = 132×0.82 = 108.24

so,

x + x/2 + x/3 = 108.24

6x + 3x + 2x = 649.44

11x = 649.44

x = $59.04

Mario's part is x/3 = 59.04/3 = $19.68

I NEED HELP QUICK PLEASE! D:
Jamie is taking the tests needed to join the math group. His scores were 89, 92, 94. What's the lowest score he can get on the fourth test and still have a 90 average?

Answers

It would have to be 85

Answer:

85

Step-by-step explanation:

(89+92+94+ x)/4>90

(275+x)/4>90

275+x>90

x> 85

PLS HELP WILL GIVE BRAINLY!!
A triangle has sides that measure 4 units, 6 units, and 7.21 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3.14 for π, and round your answer to the nearest whole number.

17 units2
24 units2
54 units2
94 units2

Answers

Answer:

24 units ²

Step-by-step explanation:

In this problem, we are given the circumference of a triangle (after finding the perimeter) and want to find the area of a circle with that circumference. Since the area of a circle is a function based on its radius, we can use the circumference to find the radius to find the area.

First, we can figure out the perimeter of the triangle, which is equal to the sum of its sides. The perimeter is 6+4+7.21 = 17.21 units.

Next, the circumference of a circle is equal to π * diameter = π * 2 * radius. Using 3.14 for π and r for radius, we get

3.14 * 2 * r = 17.21

6.28 * r = 17.21

divide both sides by 6.28 to isolate r

r ≈ 2.74

Furthermore, to find the area from the radius, we can use

area = πr². Plugging 2.74 in for r, we get

2.74² * 3.14 = area

≈23.6, rounding up to 24 units ²

The circumference is equal to the perimeter of the triangle. Then the area of the circle is 23.58 or 24 square units. Option B is correct.

What is a circle?

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A triangle has sides that measure 4 units, 6 units, and 7.21 units.

Then the perimeter of the triangle will be

Perimeter = 6 + 4 + 7.21

Perimeter = 17.21

The circumference is equal to the perimeter of the triangle. Then the radius will be

[tex]2\pi r = 17.21\\\\r = 2.74[/tex]

Then the area of the circle will be given as

[tex]\rm Area = \pi r^2 \\\\Area = \pi \times 2.74^2 \\\\Area = 23.58[/tex]

Thus, the area of the circle is 23.58 square units.

More about the circle link is given below.

https://brainly.com/question/11833983

Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE. A horizontal line has points C, F, E, G. 2 lines extend from the line at points F and E to form an isosceles triangle with point D. Angle DEF measures 75°. What is the measure of angle CFD?

Answers

Answer:

[tex]\angle CFD =105^o[/tex]

Step-by-step explanation:

Given

[tex]\angle D FE = \angle DE F = 75^o[/tex]

See attachment

Required

Determine the measure of [tex]\angle CFD[/tex]

[tex]\angle CFD[/tex] and [tex]\angle DFE[/tex] are on a straight line.

So:

[tex]\angle CFD + \angle DFE = 180^o[/tex] --- angle on a straight line

Substitute known values

[tex]\angle CFD + 75^o = 180^o[/tex]

Collect like terms

[tex]\angle CFD =- 75^o + 180^o[/tex]

[tex]\angle CFD =105^o[/tex]

The expression.1*e^0.0347t models.The balance in thousand of dollars where t represents time.In years after the account was opened. What does the 0.034 represent in this context? Write an expression for the number of years after which there will be 15,000 Dollars in the account?

Answers

Answer:

0.0347 = constant of proportionality

[tex]1 * e^{0.0347t} = 15000[/tex]

Step-by-step explanation:

Given

[tex]1*e^{0.0347t}[/tex]

Solving (a): what does 0.0347 represent?

An exponential model is represented as:

[tex]f(t) = a * e^{kt}[/tex]

Where:

[tex]k \to[/tex] constant of proportionality

So, by comparison:

[tex]k = 0.0347[/tex]

Hence:

[tex]0.0347 \to[/tex] constant of proportionality

Solving (b): Formula to calculate when balance equals 15000

To do this, we simply equate the formula to 15000.

So, we have:

[tex]1 * e^{0.0347t} = 15000[/tex]

Part A
The poll report includes a table titled, “Americans Using Cash Now Versus Five Years Ago, by Age.” The age intervals are not equal. Why do you think the Gallup organization chose the age intervals of 23–34, 35–54, and 55+ to display these results?

Answers

Answer:

These are the intervals of the people who are at least adults and are mature enough to take the survey seriously and answer correctly

Step-by-step explanation:

Please help me find those two boxes guys

Answers

Answer:

y=113505(1+0.012)^(x)

y=120481. Answered by Gauthmath

Which expressions are equivalent to
3(6+b) + 2b+1?
Select 2 answers.
Step 1 - Use the distributive property and pick your first
answer
Step 2 - Combine like terms and pick your second
answer

Answers

Step-by-step explanation:

3(6+b)+2b+1

18+3b+2b+1

5b+19

Once we distribute 3(6+b), 18 + 3b + 2b + 1. Our first answer is B. Next, we can combine like terms. This gives us 5b + 19. The other answer is C.

help me out .... I will mark u as brilliant students ​

Answers

oe which question are you figure it out

Anyone Answer Please

Answers

Answer:

shift of 6 units left

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

f(x) = 3 | x + 6 | + 9

Represents a horizontal shift of the parent function 6 units left

The volume of a Rubik’s cube is 512/216 cubic inches. Find the length of a side of the cube.

Answers

Answer:

4/3 inches, or 1.33333 inches

Step-by-step explanation:

In terms of the volume of a cube, its side length is the cube root of it. Therefore, for a cube with a volume of 512/216 cubic inches, its side length is equal to ∛(512/216) = ∛(512)/∛(216) = 8/6 = 4/3 inches*

* we know that 8/6 = 4/3 because we can multiply both the numerator and denominator by 1/2 to get this result. If we multiply/divide the numerator or denominator by the same values, the fraction is still the same

please answer this question!!​

Answers

answer is a
x=3 you can put in 3 as x and solve it you would get the same answer as both equations
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