Which of the following best describes /JKL?
32°
L
K

The value of the function (f.h)(x) is 96x⁵ + 132x⁴ + 78x³ + 18x²

f(x) = 3x² + 4x³ + 8x⁴

g(x) = -3x + 12x² - 5x³

h(x) = 12x + 6

Therefore,

(f.h)(x) = f(x).h(x)

Hence,

f(x).h(x) = (3x² + 7x³ + 8x⁴)(12x + 6)

f(x).h(x) = 36x³ + 18x² + 84x⁴ + 42x³ + 96x⁵ + 48x⁴

(f.h)(x) = 96x⁵ + 84x⁴ + 48x⁴ +  36x³ + 42x³ + 18x²

(f.h)(x) =  96x⁵ + 132x⁴ + 78x³ + 18x²

learn more on function here: https://brainly.com/question/7783704

#SPJ1

Answer:

There two images below,

one is the final product and one of how it was reflected

The length of the arc is 3.5 cm

The attached image completes the question

The given parameters are:

The length of the arc is calculated as:

[tex]L = \frac{x}{360} * \pi d[/tex]

So, we have:

[tex]L = \frac{25}{360} * 3.14 * 16[/tex]

Evaluate the product

L =  3.5cm

Hence, the length of the arc is 3.5 cm

Read more about arc lengths at:

https://brainly.com/question/2005046

#SPJ1

Answer:3.5

Step-by-step explanation:

Step-by-step explanation:

Select four types of data demographers study to make predictions.

birth rate

death rate

employment

income

marriage

migration

Answer:

"Find g to make this statement true".

12 > 4 • g

The answer of the given expression is 1 & 2.

Thus, the answer of the given expression is 1 & 2.

Learn more about expressions here:

https://brainly.com/question/723406

#SPJ2

The purpose of knowing the angle of elevation and depression in relation to the field of surveyor, military/police, aeronautics (pilot), engineers, landscapers, and architects is discussed below

If a person stands and looks up at an object, the angle of elevation is the angle between the horizontal line of sight and the object. If a person stands and looks down at an object, the angle of depression is the angle between the horizontal line of sight and the object.

If the pilot looks straight out, that line of sight is horizontal (focused on the distant horizon). The pilot might see the airport's runway, distant buildings, or even mountains in her field of view.

If the pilot looks down at the ground, the one will see the ground crew. The angle of depression is the angle that is formed between the horizontal and the downward looking angle. It is always a downward view, an angle below the horizon.

For the ground crewmember, looking down would not be much help in communicating with the pilot in her cockpit seat. The crewmember will look up, above the horizontal line, to see the pilot. The ground crewmember's angle of vision if an angle of elevation, the angle above the horizon.

Angle of elevation or depression in a survey can be defined as the angle subtended between the line of sight passing through the scope and the horizontal axis of the instrument.

Engineers, landscapers, architects all use trigonometry in their everyday life to help them efficiently and safely create or design something new.

Learn more about angle of elevation and depression here:

https://brainly.com/question/18652056

#SPJ1

If you draw all of the diagonals from one vertex of a regular hexagon we make 5 triangles. This is further explained below.

Generally, the hexagon is simply defined as the hexagon is a polygon with six sides. to be considered a hexagon, the form must have six sides, all of which must be closed.

In conclusion, We get five triangles if we draw the diagonals of a regular hexagon starting at a single vertex.

Read more about Trigonometry

https://brainly.com/question/8120556

#SPJ1

Answer:

3 to the fourth power, which equals 81.

Step-by-step explanation:

Keys:

Step-by-step explanation:

[tex]\left(5\sqrt{3}-\sqrt{27}\right)^3\\\5\sqrt{3}-\sqrt{27}^3=\left(2\sqrt{3}\right)^3\\= 2\sqrt{3}\\\left(2\sqrt{3}\right)^3=2^3\left(\sqrt{3}\right)^3\\=2^3\left(\sqrt{3}\right)^3\\2^3=8\\=8\left(\sqrt{3}\right)^3\\=8\cdot \:3\sqrt{3}\\8\cdot \:3=24\\=24\sqrt{3}[/tex]

Answer:

It is not an integer.

Step-by-step explanation:

[tex](5\sqrt{3} -\sqrt{27} )^3\\\\=(\sqrt{3} *(5-3))^3\\\\=8*3*\sqrt{3} \\\\=24\sqrt{3} \\[/tex]

The revenue function when the assumed values and parameters are used is F(x) = (60 + 8x)(250 - 30x)

Let the number of people be x, and the revenue function be F(x).

Using the assumed values, the revenue function is:

F(x) = (60 + 8x)(250 - 30x)

We have:

F(x) = (60 + 8x)(250 - 30x)

Expand

F(x) = 15000 - 1800x + 2000x - 240x²

Differentiate the function

F'(x) = -1800 + 2000 - 480x

Evaluate

F'(x) = 200 - 480x

Set to 0

200 - 480x = 0

This gives

480x = 200

Divide both sides by 480

x = 0.42

Substitute x = 0.42 in F(x)

F(x) = (60 + 8 * 0.42)(300 - 30* 0.42)

Evaluate

F(x) = 18210

Hence, the maximum revenue is $18210, at a rate of $0.42 per person.

We start by setting F(x) to 5000.

So, we have:

15000 - 1800x + 2000x - 240x² = 5000

Evaluate the like terms

10000 + 200x - 240x² = 0

Using a graphing tool, we have:

x = 6.89

Hence, they would reach their goal at a rate of $6.89 per ticket.

We have:

People = x

Cost per person = 20

So, the cost function is:

C(x) = 20x

Profit is calculated using:

P(x) = F(x) - C(x)

So, we have:

P(x) = 15000 - 1800x + 2000x - 240x² - 20x

Evaluate

P(x) = 15000 + 180x - 240x²

This is the point where P(x) = 0.

So, we have:

15000 + 180x - 240x²  = 0

Using a graphing tool, we have:

x = 8.29

Hence, the break even price is $8.29

Read more about profit, cost and revenue at:

https://brainly.com/question/25623677

#SPJ1

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Angle 1 and angle 2 are complementary angles. If angle 1 measures (3x + 2), what is the measure of angle 2? 3x+2 + y = 90

2) Angle A and angle b are supplementary angles. Angle A measures (2m – 10) degrees and angle b measures (m + 25) degrees. Find the measure of angle A and angle b.

3) Three angles are supplementary angles. If one angle measures 25 degrees, the second angle measures m + 15. The third angle measures 2m degrees. What is the value of m?

Answer: 11. [tex]11b-6[/tex]

12. [tex]14d^2-4d[/tex]

13. [tex]2x^2[/tex]

14. [tex]-4x+10[/tex]

15. [tex]19+x[/tex]

16. [tex]4c[/tex] (all together, the problems aren't entered correctly)

17. Nothing further can be done with these equations. Please check the expression entered.

18. [tex]2p-q[/tex] (All together, the problems aren't entered correctly)

Step-by-step explanation:

[tex]\quad \:a+\left(b+c\right)=a+b+c[/tex]

[tex]7b+\left(4b-6\right)=7b+4b-6[/tex]

[tex]=7b+4b-6[/tex]

[tex]7b+4b=11b[/tex]

[tex]=11b-6[/tex]

[tex]2d*(7d-2)=14d^2-4d[/tex]

[tex](8 * (d^2)) + ((2*3d^2) - 4d)[/tex]

[tex]2^3d^2 + (6d^2 - 4d)[/tex]

[tex]14d^2 - 4d = 2d * (7d - 2)[/tex]

[tex]((5*(x^2))+4)+((0-3x^2)-4)[/tex]

[tex](5x^2 + 4) + (-3x^2 - 4)[/tex]

[tex]=2x^2[/tex]

[tex]-4x+10-5x+5x[/tex]

[tex]-4x-5x+5x+10[/tex]

[tex]-4x-5x+5x=-4x[/tex]

[tex]=-4x+10[/tex]

[tex]8+5+6+x[/tex]

[tex]\:8+5+6=19[/tex]

[tex]=19+x[/tex]

Answer: 2a + c is the answer for #17 and #18 is 2p.

17.

3a + 8b - 5c

6a - 9b + 4c

-7a + b + 2c =

2a + c

18.

+6p - 3q + z

- 3p + 2q - z

- p +    q =

2p

Step-by-step explanation:

Answer:

  16.8 hours

Step-by-step explanation:

An exponential population increase can be modeled by the function ...

  p(t) = a·b^(t/p)

where 'a' is the initial value (at t=0), b is the multiplier in time period p.

__

The colony increased by a factor of b = 80/50 = 1.6 in p = 3 hours. Since we want to find the additional time to reach a population of 1119, the initial population we're working with is 80, not 50.

  p(t) = 80·1.6^(t/3)

  1119 = 80·1.6^(t/3)

__

Solving this for t, we find ...

  1119/80 = 1.6^(t/3) . . . . . . . . . . . . divide by 80

  log(1119/80) = (t/3)log(1.6) . . . . . take logarithms

  t = 3·log(1119/80)/log(1.6) . . . . . divide by the coefficient of t

  t ≈ 16.8 . . . . hours

It will take about 16.8 more hours for the population to increase from 80 to 1119.

Answer:

a) (f + g)(x) = 8x + 2

b) (f - g)(x) = 4x - 6

Step-by-step explanation:

Given:

a) Find (f + g)(x):

a. (f + g)(x) = f(x) + g(x)

⇒ (f + g)(x) = (6x - 2) + (2x + 4)

⇒ (f + g)(x) = 6x + 2x - 2 + 4

⇒ (f + g)(x) = 8x + 2

b) Find (f - g)(x):

b. (f - g)(x) = f(x) - g(x)

⇒ (f - g)(x) = (6x - 2) - (2x + 4)

⇒ (f - g)(x) = 6x - 2x - 2 - 4

⇒ (f - g)(x) = 4x - 6

Learn more about adding and subtracting functions here:

brainly.com/question/16287318

brainly.com/question/27797089

The scaled size of the thumbnails is 16 pixels per inch of painting

The given parameters are:

The space between adjacent images is 40 inches.

Given that there are two spaces, the remaining space is:

Remaining = 800 - 2 * 40

Remaining = 720

Given that there are three samples of image, the width of each image is:

Image = 720/3

Divide

Image = 240 pixels

The scaled size is then calculated using:

Scale = Image scale width/actual width

This gives

Scale = 240/15

Evaluate

Scale = 16

Hence, the scaled size of the thumbnails is 16 pixels per inch of painting

Read more about dilation at:

https://brainly.com/question/3457976

#SPJ1

Answer:

3:36PM

Step-by-step explanation:

Leon starts at 12PM with 12 gallons of gas, and after 2 hours he has used 5 gallons of gas. This means that every 2 hours he uses 5 gallons of gas.

Next we will find at what point Leon will stop to get gas. Since he will stop when the tank is at [tex]\frac{1}{4}[/tex] capacity, we can use the equation:

[tex]\frac{1}{4} * 12 = \boxed{3}[/tex]

This shows [tex]\frac{1}{4}[/tex] of his tank's capacity ([tex]12[/tex]) is equal to [tex]3[/tex] gallons. This means he will stop for gas when [tex]3[/tex] gallons are remaining.

Now we need to find how many gallons of gas he uses, but as a unit rate. (This will allow us to find what time Leon will stop to get gas.) To find the unit rate, we will need to find how many gallons of gas he uses per hour.

[tex]\frac{\mbox{5 gallons}}{\mbox{2 hours}} = \frac{\mbox{2.5 gallons}}{\mbox{1 hours}}[/tex]

This is a simple proportion, and now we know he uses [tex]2.5[/tex] gallons of gas per hour.

Now we can how many hours of gas Leon has left.

He has [tex]7[/tex] gallons of gas left at 2PM, so we can divide to find how many hours left of gas he has.

[tex]\frac{7-3}{2.5} = 1.6[/tex]

The [tex]7-3[/tex] is because Leon doesn't stop when his tank is empty, he stops [tex]3[/tex] gallons earlier. We are dividing by [tex]2.5[/tex] because that is how much gas he uses per hour, meaning the result of this division ([tex]1.6[/tex]) is how many hours he has left.

Now we can solve for what time Leon will stop to get gas.

12PM + [tex]2[/tex] hours of driving + the remaining [tex]1.6[/tex] hours = 3:36PM

([tex]1.6[/tex] hours is equal to 1 hour and 36 minutes)

Therefore, Leon will stop for gas at 3:36PM

Answer:

The answer is 0.75

Hope this helps!

answer this fully! i need to know what x equals

X equal minus 0.5

The properties used is [tex]\sqrt[3]{4^{5} } = (4^{5})^{\frac{1}{3} } = 4^{\frac{5}{3} }[/tex]

the correct option is (A).

power can be defined as an expression that represents repeated multiplication of the same number whereas exponent is the quantity that represents the power to which the number is raised.

Given:

[tex]4^{\frac{5}{3} } = \sqrt[3]{4^{5} }[/tex]

We can use the following property

[tex]\sqrt[3]{4^{5} } = (4^{5})^{\frac{1}{3} } = 4^{\frac{5}{3} }[/tex]

By using the property we can find the answer.

Learn more about exponents and power here:

https://brainly.com/question/15722035

#SPJ1

[1] n = -2

       We will convert the words given into a mathematical equation and then solve by isolating the variable. Let n be "a number"

19 decreased by four times a number is 17

19 - four times a number is 17

19 - 4 n is 17

9 - 4n = 17

-

9 - 4n = 17

- 4n = 8

n = -2

[2] x = -1, y = 3, or (-1, 3)

      I will plug the first equation into the second from the system of equations given to us because it already has an isolated variable, y.

2y - 2x = 8

2(2x + 5) - 2x = 8

4x + 10 - 2x = 8

2x = -2

x = -1

      Now, I will plug this value back into the equation and solve for y.

y = 2x + 5

y = 2(-1) + 5

y = -2 + 5

y = 3

Answer:

Step-by-step explanation:

V=14h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4aBase sidebBase sidecBase sidehHeight

The area of sector EBR in the given diagram attached below is: 33.75π units².

Area = θ/360º × πr²

Given the following:

Measure of arc TE = 2(m∠TRE) = 2(15) [inscribed angle theorem]

Measure of arc TE = 30°

Arc RE = 180 - arc TE = 180 - 30 [semicircle]

Arc RE = 150°

m∠EBR = Arc RE = 150°

Area of sector EBR = m∠EBR/360 × π(BE²)

Area of sector EBR = 150/360 × π(9²)

Area of sector EBR = 33.75π units²

Learn more about the area of sector on:

https://brainly.com/question/22972014

#SPJ1

          [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

       Given f(x)=-x+5, find f(-3).

    [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

We have the function

[tex]\longmapsto\sf{f(x)=-x+5}[/tex]

We need to find

[tex]\longmapsto\sf{f(-3)=}[/tex]

[tex]\longmapsto\sf{f(x)=-(-3)+5}[/tex]

Simplifying,

[tex]\longmapsto\sf{f(x)=3+5}[/tex]

(which is the exact same thing as 5-3)

Henceforth, We conclude that the answer is

[tex]\longmapsto\sf{f(-3)=8}[/tex]

#TogetherWeGoFar ~

[tex]\rule{300}{1}[/tex]

Hey there!

Find f(-3) :

f(-3) = 8 ✅

f(x) = -x + 5

>> Substitute -3 for x in f(x) :

f(-3) = -(-3) + 5

f(-3) = 3 + 5

f(-3) = 8

Therefore, your answer is f(-3) = 8

Similar question :

↣ https://brainly.com/question/20922457

Answer:

Step-by-step explanation:

The temperature at midnight is 55.4  degrees Fahrenheit

The information that completes the question is "At what temperature is the building at midnight?"

The function is given as:

f(t) = -8.3cos(π/5)t + 63.7

At midnight, t = 0.

So, we have:

f(0) = -8.3cos(π/5) * 0 + 63.7

Evaluate the product

f(0) = -8.3cos(0) + 63.7

Evaluate the expression

f(0) = 55.4

Hence, the temperature at midnight is 55.4  degrees Fahrenheit

Read more about functions at:

https://brainly.com/question/4025726

#SPJ1

The correct solution method of Kendall's money is 7x = 98. Divide both sides by 7. Kendall had $14

x = Kendall's money

Mateo's money = $98

= 7 × x

The equation:

7 × x = 98

7x = 98

x = 98/7

x = $14

Therefore, the correct answer is option B

Learn more about equation:

https://brainly.com/question/2972832

#SPJ1

Answer:

4/5

Step-by-step explanation:

In a right triangle such as this one

 cos (angle) = adjacent leg  / hypotenuse

  cos(k) =   KL / 15

You will need to find the leg length KL using Pythagorean Theorem

 15^2 = 9^2 + (KL)^2             KL =  12

then cos k  = 12/15 = 4/5