The volume of a box, V(x), is represented by the function V(x) = x(40-2x)(24-2x), where x represents the width of the box.


What is the domain of V(x)?


A. all real numbers greater than 0

B. all real numbers greater than 0 and less than 12

C. all real numbers greater than 0 and less than 20

D. all real numbers greater than 0 and less than 24

E. all real numbers greater than 0 and less than 40


I gotta do this ASAP. Ty, for helping me if u do!

Answer:

the answer is .24

Step-by-step explanation:

when you multiply 0.1 x 2.4 it equals out to .24

0.1 x 2.4= .24

Step-by-step explanation:

1. -6u= -29-7

-6u÷-6= -36÷-6

u= 6

2. 6m= -23-1

6m÷6= -24÷6

m=-4

3. 4d=37-5

4d÷4=32÷4

d=8

Answer:

4. -6u+7=-29

-6u=-29-7

-6u=-36

-6u=-36

(divide both sides by-6 )

-6u/-6=-36/-6

u=6.

5. 6m+1=-23

6m=-23-1

6m=-24

divide-24 by 6

m=-4

6. 5+4d=37

4d=37-5

4d=32

divide by 4

d=8

Answer: [tex]432\pi \text{ cubic centimeters}[/tex] or [tex]1356.48\text{cubic centimeters}[/tex]

Step-by-step explanation:

Volume of right circular cylinder = [tex]\pi r^2 h[/tex]

Given: Radius = 6 centimeters

Height = 12 centimeters

Then, the volume of this cylinder = [tex]\pi (6)^2 \times (12)= 432\pi \text{ cubic centimeters}[/tex]

Hence, the volume of this cylinder = [tex]432\pi \text{ cubic centimeters}[/tex]

At [tex]\pi=3.14[/tex]

The volume of this cylinder[tex]=432\times3.14=1356.48\text{cubic centimeters}[/tex]

Answer:

9/20

Step-by-step explanation:

45/100.

5 is a common factor so simplified = 9/20

Answer:

4.90

Step-by-step explanation:

Answer:

Part 1: It is not a valid conclusion to say that track and field sports are more popular than soccer based on the survey. The survey was taken at a track and field event so the people that were surveyed are probably biased.

Part 2: A better way of determining which sport is more popular is by counting how many people show up to each event and comparing the results.  

Answer:

B

Step-by-step explanation:

When flipping, the y-levels of E' and F' do not change, meaning that as they are transferred across the y-axis, they keep their parallel to the original points.

Answer:

Step-by-step explanation:

This figure is called a cyclic quadrilateral. The vertices of all sides lie on a circle.

That's property one.

Property 2 is that the opposite angles add to 180 degrees.

6y - 4 + 5y - 3 = 180 is the y angles. Combine like terms.

11y - 7 = 180                                         Add 7 to both sides.

11y - 7 + 7 = 180 + 7

11y = 187                                              Divide by 11

y = 187/11

y = 17

H = 17 * 6 - 4

H = 102 - 4

H =  98

F = 5y - 3

F = 5*17 - 3

F = 85 - 3

F = 82

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

11x + 8 +  8x + 1 = 180

19x + 9 = 180

19x = 171

x = 171/19

x = 9

E = 9*11 + 8

E = 99+8

E = 107

G = 8*9 + 1

G = 72 + 1

G = 73

Answer:I'm confused on this but this is what I think it's saying. The absolute value of -18 is 18 and of 0 is 0

Step-by-step explanation:Honestly had no idea what this meant so if this isn't want your looking for please tell me so I can delete my answer

Answer:

B

Step-by-step explanation:

it is a function but not a line

Answer:

b) a nonlinear function

Step-by-step explanation:

it's exponential so it's a nonlinear function.

i hope this is right. p.s. if it helps i really need brainliest :)

Water is the Adjacent of this right triangle. 350 yards is the length of the Hypotenuse. We have given angle B, 40 degrees.

_________________________________________________________

According to SOH CAH TOA, we use CAH (cosineΘ = adjacent/hypotenuse).

cosine40 = x/350

[multiply both sides by 350]

350 · cosine40 = x

[put calculator in degree mode]

x ≈ 268 yards

So, the distance across the water from sailboat to the island is 268 yards.

_________________________________________________________

Let's use pythagorean theorem since we already know the adjacent and hypotenuse to find the opposite (opposite is also known as height).

a^2 + b^2 = c^2

a^2 + (268)^2 = (350)^2

a^2 + 71824 = 122500

a^2 = 122500 - 71824

a^2 = 50676

[square both sides]

[tex]\sqrt{a^2}[/tex] = [tex]\sqrt{50676}[/tex]

a = [tex]\sqrt{50676}[/tex]

a ≈ 225

So, the height, opposite, of the lighthouse is 225 yards.

_________________________________________________________

Answer: t=8

Step-by-step explanation:

The highest ticket price that they can charge in order to not lose money on the event will be $8.16.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

Sally's secondary school is arranging their spring melodic. The income, R, is created still up in the air by the capability R(t) = -33t² + 360t, where t addresses the cost of a ticket. The creation cost, C, of the melodic is addressed by the capability C(t) = 700 + 5t.

The highest ticket price that they can charge in order to not lose money on the event will be given as,

C(t) = R(t)

700 + 5t = -33t² + 360t

33t² - 355t + 700 = 0

Solve for 't', then we have

t = [-(-355) ± √((-355)² - 4 × 33 × 700)] / (2 × 33)

t = [355 ± 183.37] / 66

t = 5.378 ± 2.778

t = 5.378 + 2.778, 5.378 - 2.778

t = 8.16, 2.60

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Answer: -2x^2-12x-17

Step-by-step explanation:

-2(x+3)^2+1 Original equation

-2(x^2+3x+3x+9)+1 factor (x+3)(x+3)

-2x^2-12x-18+1 Multiply the factored part by -2

-2x^2-12x-17 Combine like terms

Answer:

20

Step-by-step explanation:

dekameter=10 meters

dekameter*2

20 meters

20/20=1

20 meter long pieces

Answer:

64 degrees.

Step-by-step explanation:

We are given that angle QRP is 32 degrees.

We are also given that angle PRS is 84 degrees.

Add those two angles to get the measure of angle QRS.

measure of angle QRS= 116 degrees.

Same-side interior angles are supplementary

So,

116+ angle PQR= 180

subtract both sides by 116.

PQR=64

Therefore the measure of angle PQR is 64 degrees.

I hope this helps

Answer:

(-5, 2)

Step-by-step explanation:

The answer is where the two lines intersect

Answer:

2nd

Step-by-step explanation:

Answer:

The 2nd graph

Step-by-step explanation:

Trust me bro

Answer:

Angle B=92

Arc DCB=228

Step-by-step explanation:

Arc DCB intercepts Angle A.

Arc DCB is twice of Angle A so that means Arc dCB=228

Angle C is supplementary so Angle B equal 92.

Answer:

35

Step-by-step explanation:

The measure of an inscribed angle whose endpoints are points S and T will be 35°.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The central angle is double the angle at the periphery that was subtended by the same chords.

The central angle of arc ST is 70°.

The measure of an inscribed angle whose endpoints are points S and T is given by the half of the central angle of arc ST. Then we have

Inscribed angle = 70° / 2

Inscribed angle = 35°

The measure of an inscribed angle whose endpoints are points S and T will be 35°.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ2

Answer:

24x - 36y + 48

Step-by-step explanation:

12 (2x - 3y + 4)

Distribute the term outside of the parenthesis, multiply each term inside the parenthesis by the term outside of the parenthesis.

(12)(2x) - (12)(3y) + (12)(4)

24x - 36y + 48

Answer:

Step-by-step explanation:

Where are the expressions?

Answer: 6

Step-by-step explanation:

Answer:

∠6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Parallel lines have the same slope.

Point-slope equation for line of slope 3 that passes through (1,-2):

y+2 = 3(x-1)

Answer:

20.25

Step-by-step explanation:

Answer:

20.25

Step-by-step explanation:

Use the “ %/100 = is/of ” method

45          ?

__    =     __

100          45

cross mutilps 45(45) = 2,025

then divide 2,025 by 100 = 20.25

Step-by-step explanation:

Angle 1 2 and 3 are angles that are in a triangle and all the angles in a triangle always add up to 180

so <1 +<2 +<3=180

Hope that helps :)

Answer: 30%

Step-by-step explanation:

Answer:

14000

Explaination:

spwithvat = sp without vat + 13% of sp without vat

let, sp without vat be x.

sp with vat= x + 13% of x.

or, 13447 = x + 13/100 × x

or, 1344700 = 113x

or, x= 1344700/113

x = 11900

Let, mp be y.

sp with vat = mp - 15% of mp

or, 11900 = y - 15/100 × y

or, 1190000 = 85y

or, y= 1190000/85

y= 14000