Grade 11 Functions - Struggling to answer this question in full, please help me by providing an answer.
The cost, c(x) in dollars in per hour of running a certain fishing boat is modeled by the function c(x)= 0.9x^2 - 18.1x + 135.1, where x is the speed in km/hour/ At what approximate speed should the boat travel to achieve minimum cost?

Answers

Answer 1

Step-by-step explanation:

c(x)= 0.9x^2 - 18.1x + 135.1

a = 0.9 , b = -18.1

the function becoming minimum for

x = -b/2a

x = (18.1)/(1.8)

x= 10.05

=> c(10.05)= 0.9(10.05)²- 18.1(10.05) +135.1

= 0.9(101.0025)-181.905+135.1

=90.90225 - 181.905+135.1

= 44.09725 km/h


Related Questions

which parent function is f(x)=|x|?

Answers

Answer: We can see that it has a parabola for its graph, so we can say that f(x) is a quadratic function. This means that f(x) has a parent function of y = x2.

Step-by-step explanation:

(Hope this helped Btw not mine)

Answer:

Absolute value parent function

Step-by-step explanation:

A sample of Chlorine gas has a volume of 20 L and a pressure of 4 atm. What will the
pressure of the gas be if the volume is decreased to 5 L?

Answers

Step-by-step explanation:

[tex]from \: boyle 's \: law \\ P _{1}V _{1} = P _{2} V _{2} \\ (4 \times 20) = (P _{2} \times 5) \\ P _{2} = \frac{(4 \times 20)}{5} \\ P _{2} = 16 \: atm[/tex]

Find the rate percent per annum at which birr 380 earns birr 128.25 in 7 years and 6 months?​

Answers

Answer:

A = $4,035.13

Step-by-step explanation:

Given: 380 earns, 128.25 in 7 years and 6 months

To find: The rate percent per annum

Formula: [tex]A = P(1 + rt)[/tex]

Solution: I = A - P = $3,655.13

Equation:

A = P(1 + rt)

First, converting R percent to r a decimal

r = R/100 = 128.25%/100 = 1.2825 per year.

Solving our equation:

A = 380(1 + (1.2825 × 7.5)) = 4035.125

A = $4,035.13

The total amount accrued, principal plus interest, from simple interest on a principal of $380.00 at a rate of 128.25% per year for 7.5 years is $4,035.13.

Thanks in advance for your help ​

Answers

Answer:

CA=P+2Q

Step-by-step explanation:

3) Find the area of the composite figure.

Answers

Answer:

356.93sq. cm

Step-by-step explanation:

Area of the composite figure = Area of rectangle + Area of semicircle

Area of rectangle = length * wiidth

Area of rectangle =  14cm * 20cm

Area of rectangle = 280 sq. cm

Area of semicircle = πr²/2

Area of semicircle = 3.14(7²)/2

Area of semicircle  = 3.14 * 49/2

Area of semicircle  = 76.93 sq. cm

Hence the area of the figure = 280 + 76.93

Hence the area of the figure = 356.93sq. cm

Dose someone know please

Answers

The sum of all the angles in this line equals 180
a+90+21=180
a+111=180
a=69

Answer:

i think its like:

see that middle angle there, thats a 90° angle and straight linea measure 180°. so add 90 + 21 and subtract from 180

ei
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Answers

Answer:

wha- I have no idea what your saying

The length of a side and the corresponding height of a triangle are (x+3) cm and (2x-5) cm respectively. Given that thr area of the triangle is 20 cm^2, find the value of x.

Answers

Answer: 5

Step-by-step explanation:

Given

The length of a side is [tex]x+3\ cm[/tex]

The height of a triangle is [tex]2x-5\ cm[/tex]

Area of triangle is [tex]20\ cm^2[/tex]

Area of triangle is given by

[tex]\Rightarrow A=\dfrac{1}{2}\times \text{base}\times \text{height}[/tex]

[tex]\Rightarrow A=\dfrac{1}{2}\times (x+3)\times (2x-5)\\\\\Rightarrow 40=(x+3)\times (2x-5)\\\Rightarrow 2x^2+x-55=0\\\\\Rightarrow x=\dfrac{-1\pm \sqrt{1^2-4(2)(-55)}}{2(2)}\\\\\Rightarrow x=\dfrac{-1\pm 21}{4}\\\\\Rightarrow x=-5.5,5[/tex]

Neglecting negative value

Therefore, the value of x is 5.

Stressed out just help

Answers

Volume=Area of base×Height

[tex]\\ \tt\longmapsto 132\pi=A4[/tex]

[tex]\\ \tt\longmapsto A=\dfrac{132\pi}{4}[/tex]

[tex]\\ \tt\longmapsto A=33\pi[/tex]

What are the zeros of the quadratic function?
y = x^2 - 2x - 15

Answers

Answer:

[tex]x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}[/tex]

Step-by-step explanation:

[tex]-> 0=2x^2-2x-15[/tex]

-zeros means the solution aka x intercept, meaning y=0

[tex]x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:2\left(-15\right)}}{2\cdot \:2}[/tex]

=> according to quadratic formula

[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

where [tex]ax^2+bx+c=0[/tex]

=> [tex]x_{1,\:2}=\frac{-\left(-2\right)\pm \:2\sqrt{31}}{2\cdot \:2}[/tex]

simplify

[tex]x_1=\frac{-\left(-2\right)+2\sqrt{31}}{2\cdot \:2},\:x_2=\frac{-\left(-2\right)-2\sqrt{31}}{2\cdot \:2}[/tex]

[tex]x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}[/tex]

Cannot simplify farther

At 351 feet tall, the Jefferson Davis Monument in Fairview, Kentucky, is the largest concrete obelisk in the world. Pedro is looking at the top of the monument at an angle of 75 degrees. How far away from the monument is he standing?

Answers

Answer:

The monument is standing at a distance of 834.322 feet

Step-by-step explanation:

Given

Height of the  Jefferson Davis Monument in Fairview = 351 feet

Pedro while looking at the top of the monument makes an angle with the horizontal surface =  75 degrees

As we know  tan θ = Perpendicular / Base

Substituting the given values in above equation, we get -

tan 75 = 351/Base

Base = 351/tan 75

Base = 834. 322 feet

PLEASE HELP!!
Use the equation 13= 1 3 d = t to figure out how long will it take Noah to walk 6 miles. It will take Noah _____ hours.

Answers

Answer:

76

Step-by-step explanation:

okay so 13=13 d = t

13×d = t

13×6 = 76

10. Given that the areas of the two rectangles are equal, calculate the
value of x. What is the area of each rectangle?

Answers

Answer:1251231

Step-by-step explanation:

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Answers

Answer:

Multiply by -2

Step-by-step explanation:

Additive inverse essentially means the counterpart that negates a number. Then, elimination can be used. In this case, the easiest change would be with the terms -4y in the first equation, and -2y in the second equation, since 2 is a factor of 4. So,

3x - 4y = -5

5x - 2y = -6

The goal here is to cancel out the -4y.

(5x - 2y)(-2) = (-6)(-2)

-10 + 4y = 12

3x - 4y = -5

Now it works.

Pls help if u know math

Answers

Answer:

2 = x

Step-by-step explanation:

Both segments are congruent so we can say that:

4x + 7 = 10x - 5

Now we can simplify:

7 = 6x - 5

12 = 6x

12/6 = x

2 = x

Hope this helps!

Please please please help will Mark brainliest help quick

Answers

Answer:

do it yourself kid.

Step-by-step explanation:

help me with this math question please I'm giving away brainliests​

Answers

Answer:

A is the answer

hope this helps

have a good day ;)

Step-by-step explanation:

Angel says that raising fraction to the power of -1 is the same as finding the reciprocal of the fraction do you agree

Answers

Yes, raising fraction as the power to the integer number is same as calculating the reciprocal of the fraction.

According to the question, the simplification method for the raising fraction as the power to the integer number(-1) is same as calculating the reciprocal of the fraction.

Raising power means multiplying that number that many times to get the answer.

What is simplification in fraction?

The word simplification in fraction is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.

To learn more about the simplification in fraction from the given link:

brainly.com/question/432678

#SPJ1

please help!! like ASAP

Answers

Answer:

A

Step-by-step explanation:

Solve: 7.2 + 3.5

Enter the correct numbers into the box to complete the equation.

7.2 + 3.5 = 7.2 + 3 + ___ = ___

Answers

Hello~

Here!

7 + 3.5

Ary~

please help it’s a timed test. i’ll mark u branliest. find the measure of each lettered angle

Answers

Answer:

d = 162

a = 18

e = 144

g = 78

b = 18

s = 162

h = 84

e = 81

Step-by-step explanation:

Trust

What are m∠1 and m∠2?

Answers

Answer:

Not enough information

HELPPPPP ME GUYSSSS........

1. Find the equation of the circle whose center and radius are given.

center ( -2, -5), radius = 1

2. Find the equation of the circle whose center and radius are given.

center ( 7, -3), radius = sqr7

Answers

Answer:

[tex] \rm\displaystyle (x + 2{)}^{2} + (y + 5 {)}^{2} = {1}^{} [/tex]

[tex] \rm\displaystyle (x - 7{)}^{2} + (y + 3{)}^{2} = { 7 }[/tex]

Step-by-step explanation:

QUESTION-1:

we are given the center and the redious of a circle equation

remember that,

[tex] \rm\displaystyle E _{c} :(x - h {)}^{2} + (y - k {)}^{2} = {r}^{2} [/tex]

where (h,k) is the centre coordinate and r is redious of the circle

given that, h=-2 , k=-5 and r=1

Thus substitute:

[tex] \rm\displaystyle (x - ( - 2){)}^{2} + (y - ( - 5) {)}^{2} = {1}^{2} [/tex]

simplify:

[tex] \rm\displaystyle (x + 2{)}^{2} + (y + 5 {)}^{2} = {1}^{} [/tex]

QUESTION-2:

Likewise

[tex] \rm\displaystyle E _{c} :(x - h {)}^{2} + (y - k {)}^{2} = {r}^{2} [/tex]

given that,h=7,k=-3 and r=√7

substitute:

[tex] \rm\displaystyle (x - (7{))}^{2} + (y - ( - 3){)}^{2} = { \sqrt{7} ^{2} }[/tex]

simplify:

[tex] \rm\displaystyle (x - 7{)}^{2} + (y + 3{)}^{2} = { 7 }[/tex]

I need help!!

Solve the equation. Give the exact solution and an approximate solution to three decimal places.

5^(7x) = 60

Answers

Answer:

The exact solution is

[tex]x = \frac{Ln(60)}{7*Ln(5)}[/tex]

And the approximation to three decimal places is:

x = 0.363

Step-by-step explanation:

Here we have the equation:

[tex]5^{7*x} = 60\\[/tex]

Now we can remember a property of the natural logarithm function:

Ln(a^n) = n*Ln(a)

Now we can apply the Ln( ) function to both sides of that equation to get:

[tex]Ln(5^{7*x}) = Ln(60)[/tex]

Then we get:

[tex]7*x*Ln(5) = Ln(60)[/tex]

Solving that for x we get:

[tex]x = \frac{Ln(60)}{7*Ln(5)} = 0.363[/tex]

So the exact solution is:

[tex]x = \frac{Ln(60)}{7*Ln(5)}[/tex]

And the approximation to three decimal places is:

x = 0.363

Tiana is thinking of a number, which she calls n. She subtracts 5 and then finds half of the difference. Which expression represents Tiana's number? 1 (n-5) c) What is Tiana's final number if her starting number is 23? Tiana's final number is ?​

Answers

Answer:

1/2(n-5)

9

Step-by-step explanation:

n less 5 = n - 5

if she finds the half of the difference, divide the difference by 2 = 1/2(n-5)

If n = 23

1/2 x (23 - 5)

= 1/2  x 18 = 9

There are 260 vehicles in the parking lot and 60% of them are cars. How many vehicles are not cars?

Answers

Answer:

104

Step-by-step explanation:

260x.4=104

Answer:

156

Step-by-step explanation:



Find the height of the cone. Round to the nearest
hundredths if necessary

Answers

Answer:

height of cone is 1.5 2 feet

hope it helps.

(a) There are 15,000 fleas in a carpet at the start of 2017. Each year, 3% of the fleas who were alive the previous year die and 1500 new fleas are born. Find an expression, in as simple a form as possible for the number of fleas N years after the start of 2017.

Answers

Answer:

Step-by-step explanation:

find the area of the
parallegram

Answers

Answer:

To find the area, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply. The base and height of a parallelogram must be perpendicular.

Step-by-step explanation:

hope it helps

please mark brainliest

giving brainliest

The Earth has diameter of 7,917.5 miles. What is the distance a plane would have to fly if it could fly around the entire equator? USE 3.14 for π and ROUND to the nearest HUNDREDTH.

Answers

Answer:

distance or circumference= 2πr

2× 3.14× 3958.75

nb I got the radius by dividing the diameter by two

= 24,869.95

to hundreth = 24900

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