i need an answer help !

Answer:

B

Step-by-step explanation:

To answer this question it is necessary to find the volume of the box as a function of "x", and apply the concepts of a maximum of a function.

The solution is:

a) V (max) = 36.6 in³

b) x = 1.3 in

The volume of a cube is:

V(c) = w×L×h  ( in³)

In this case, cutting the length  "x" from each side, means:

wide of the box    ( w - 2×x )   equal to  ( 7 - 2×x )

Length of the box ( L - 2×x )   equal to  ( 9 - 2×x )

The height  is  x

Then the volume of the box,  as a function of x is:

V(x) = ( 7 - 2×x ) × ( 9 -2×x ) × x

V(x) = ( 63 - 14×x - 18×x + 4×x²)×x

V(x) = 4×x³ - 32×x² + 63×x

Tacking derivatives,  on both sides of the equation

V´(x) = 12×x² - 64 ×x + 63

If   V´(x) = 0      then      12×x² - 64 ×x + 63 = 0

This expression is a second-degree equation, solving for x

x₁,₂ = [ 64 ± √ (64)² - 4×12*63

x₁ =  ( 64 + 32.74 )/ 24

x₁ = 4.03     this value  will bring us an unfeasible solution,  since it is not possible to cut 2×4 in from a piece of paper of 7 in ( therefore we dismiss that value)

x₂ = ( 64 - 32.74)/24

x₂ = 1.30 in

The  maximum volume of the box is:

V(max) = ( 7 - 2.60) × ( 9 - 2.60)×1.3

V(max) = 4.4 × 6.4 × 1.3

V(max) = 36.60 in³

To chek for maximum value of V when x = 1.3

we find the second derivative of V  V´´,  and substitute the value of x = 1.3,    if the relation is smaller than 0,  we have a maximum value of V

V´´(x) = 24×x - 64 for x = 1.3

V´´(x) = 24× 1.3 - 64            ⇒   V´´(x) < 0

Then the value  x = 1.3 will bring maximum value for V

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Answer:

[tex]\frac{1}{10} h\leq 10[/tex]

Step-by-step explanation:

Basically, we are just translating the phrase into an algebraic expression.

Answer:

Kindly check explanation

Step-by-step explanation:

A deck of card:

Number of hearts = 13

Diamond = 13

Spade = 13

Club = 13

Each of heart, club diamond and spade has is numbered from (2,3,4,5,6,7,8,9,10,Ace, queen, Jack, king)

Hence, a club, diamond, spade and heart has one of each of the above numbers.

a. List the sample points in the event a jack is selected.

Jack : ( heart, club, diamond, spade)

B.) club is selected :

Cub : (Ace, 2, 3,4,5,6,7,8,9,10,king,queen,jack)

C)

Jack : ( heart, club, diamond, spade)

Queen : (heart, club, diamond, spade)

King : (heart, club, diamond, spade)

D) probability = required outcome / Total possible outcomes

P(jack selected) = 4 /52 = 1/13

P(club selected). = 13/52 = 1/4

P(face card selected) = 12 / 52 = 3/13

Answer:

14 depth per minute

Step-by-step explanation:

84/6 = 14

Answer:

Step-by-step explanation:

1/2

Answer:

[tex]F = \frac{9C + 32}{5}[/tex]

Step-by-step explanation:

Given

[tex]C = \frac{(5F - 32)}{9}[/tex]

Required

Determine the inverse function

[tex]C = \frac{(5F - 32)}{9}[/tex]

Make F the subject of formula:

Multiply through by 9

[tex]9C = 5F - 32[/tex]

Add 32 to both sides

[tex]9C + 32= 5F[/tex]

Divide through by 5

[tex]\frac{9C + 32}{5}= F[/tex]

[tex]F = \frac{9C + 32}{5}[/tex]

Answer:

4/3

Step-by-step explanation:

Multiply 2 by 2, and get 4, then we multiply 3 by 2 and get 6.

Since our denominators match, we can add the numerators. 4 + 4 = 8. That gives us the sum, which is 8/6. Then you divide by 2.  So 8/6 / 2 gives you 4/3.

Answer:

4/3 or 1 1/3

Step-by-step explanation:

1. 4/6 + 2/3

2. 4/6 + 4/6          You have to find the LCM (least common multiple) of the two  denominators. In this case it would be 6. You have to multiply 3 by 2 to get 6. What you do to the bottom you also do to the top so you have to also multiply the numerator (2) by 2.

3. 4/3 or 1 1/3       Afterward, you just have to add straight across without changing the denominator and then if you need to simplify you simplify. Without simplifying, you would get 8/6, but, most teachers will mark it as wrong if you don't simplify. You can then change the improper fraction into a mixed number depending on what your teacher wants.

Answer:

6.88 is what I think you're looking for

Step-by-step explanation:

Answer:

poop i forgot my ramen noodles are in the microwave

Step-by-step explanation:

Answer:

Y= -6x + 1

Step-by-step explanation:

Y=mx + b

M is your slope

B is your y intercept

Answer:

Pi is a irrational number

Step-by-step explanation:

Pi is an irrational number because it never ends it keeps going on and one.

Pi is also 3.141592654.............. never ends

Answer:

Step-by-step explanation:

Since the Tootsie Roll lollipop is a sphere

volume of sphere= [tex]\frac{4}{3}piR^3[/tex] = -0.25 [tex]in^3/min[/tex]

the negative sign indicates that the volume is decreasing

upon differentiating

as the diameter given is =0.75 so radius will be = 0.375

[tex]dV/dt = 4piR^2*dR/dt[/tex]

so [tex]dR/dt = 0.25/4*3.14 *(0.375)^2[/tex]

So the radius is decreasing at the rate of dR/dt= 0.142in/min

Answer:

18k^2+2m^2+20km

Step-by-step explanation:

Answer:

S = 1 bag of popcorn

Y = 1 water

Step-by-step explanation:

S x 3 + Y x 4 = R

40 - R = (The Answer)

Answer:

Step-by-step explanation:

Substitute a = -3 and b = -8 to the expression 10a²b⁰:

10(-3)²(-8)⁰ = 10(9)(1) = 90

a⁰ = 1 for any real number

Answer:

90

Step-by-step explanation:

10a^2b^0

Let a=–3, b=–8

10 (-3)^2 ( -8)^0

10 * 9 *1

90

Answer:

11x-6+(19x+6)=180°

11x+19x-6+6=180°

30x=180

x=180/30

x=6

it means that

19x+6=19*6+6=114+6=120°

Answer:

Use the distributive property to multiply the factors on the right side of the equation.

Simplify the product by combining like terms.

Show that the right side of the equation can be written exactly the same as the left side.

Show that the right side of the equation simplifies to a cubed minus b cubed.

Step-by-step explanation:

The difference of two cubes identity a³ - b³ = (a - b)(a² + ab + b²) has been proved using; distributive property of algebra.

a³ - b³ = (a - b)(a² + ab + b²)

(a - b)(a² + ab + b²) = a(a² + ab + b²) - b(a² + ab + b²)

Multiplying out the brackets gives us;

a³ + a²b + ab² - a²b - ab² - b³

Like terms cancel out to give us;

a³ - b³.

This is same as the left hand side of our initial equation and thus it has been proved.

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Answer:

7

Step-by-step explanation:

there are 7 left because fish can't drown

Answer: Is there an image??

AE, BE, CE, and DE is the rays with endpoint E.

An item with both magnitude and direction is referred to be a vector.

A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.

Geometrical objects with magnitude and direction are called vectors.

A line with an arrow in its direction can also be used to represent a vector, and the length of the line relates to the vector's amplitude.

Given the figure,

The endpoint of all rays is E.

The rays associated with point E are;

AE, BE, CE, and DE

Hence "AE, BE, CE, and DE is the rays with endpoint E".

For more information about vector,

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Answer:

A)  F(x) = 50 + ( x - 10 )*9  

B) Graph

C) lim ( x ⇒ 10) F(x) = 50

Step-by-step explanation:

A) F(x) = 50 + ( x - 10 )*9       since the first 10 hours are included in initial fee

B) In Annex

C) lim (x ⇒ 10) F(x) = 50 + ( 10 -10)*9

lim ( x ⇒ 10) F(x) = 50 + 0

lim ( x ⇒ 10) F(x) = 50

Answer:

dndnfhhfbdhdndndnmdmdndndnen

Answer:

-2,-3

Step-by-step explanation:

Answer:

a.) x>-1

b.) x/1 - 9 < -10

Step-by-step explanation:

a.)

5(x - 2) > -15

(divide both sides)

x-2>-3

(move the constant to the right)

x>-3+2

(calculate)

x>-1

(answer)

b.)

x/1 - 9 < -10

(divide)

x-9<-10

(move the constant to the right)

x<-10+9

(calculate)

x/1 - 9 < -10

(answer)

Answer:

the answer would be 70 because you take 90-20 and you get 70. you have a 90 degree angle is what you're working on right now

Step-by-step explanation:

Answer:

c. x² + 2x -5 = 0

Step-by-step explanation:

 Given expression;

         [tex]\frac{5}{x}[/tex]   = [tex]\frac{x + 2}{3}[/tex]  

Unknown:

 The quadratic equation equivalent to this expression:

Solution:

  The common denominator here is 3x;

    So, multiply both sides by 3x

          [tex]\frac{5}{x}[/tex] x 3x  =  [tex]\frac{x + 2}{3} x[/tex] 3x

          5 x 3 = (x + 2)x

           15 = x² + 2x

     So;

          x² + 2x - 15

The quadratic expression is x² + 2x - 15

Answer:

A.3

Step-by-step explanation:

Answer:

cosФ = [tex]\frac{1}{\sqrt{65}}[/tex] , sinФ = [tex]-\frac{8}{\sqrt{65}}[/tex] , tanФ = -8, secФ = [tex]\sqrt{65}[/tex] , cscФ = [tex]-\frac{\sqrt{65}}{8}[/tex] , cotФ = [tex]-\frac{1}{8}[/tex]

Step-by-step explanation:

If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:

∵ Point (1, -8) lies on the terminal side of angle Ф in standard position

∵ x is positive and y is negative

→ That means the point lies on the 4th quadrant

∴ Angle Ф is on the 4th quadrant

∵ In the 4th quadrant cosФ and secФ only have positive values

∴ sinФ, secФ, tanФ, and cotФ have negative values

→ let us find r

∵ r = [tex]\sqrt{x^{2}+y^{2} }[/tex]

∵ x = 1 and y = -8

∴ r = [tex]\sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}[/tex]

→ Use the rules above to find the six trigonometric functions of Ф

∵ cosФ = [tex]\frac{x}{r}[/tex]

∴ cosФ = [tex]\frac{1}{\sqrt{65}}[/tex]

∵ sinФ = [tex]\frac{y}{r}[/tex]

∴ sinФ = [tex]-\frac{8}{\sqrt{65}}[/tex]

∵ tanФ = [tex]\frac{y}{x}[/tex]

∴ tanФ = [tex]-\frac{8}{1}[/tex] = -8

∵ secФ = [tex]\frac{r}{x}[/tex]

∴ secФ = [tex]\frac{\sqrt{65}}{1}[/tex] = [tex]\sqrt{65}[/tex]

∵ cscФ = [tex]\frac{r}{y}[/tex]

∴ cscФ = [tex]-\frac{\sqrt{65}}{8}[/tex]

∵ cotФ = [tex]\frac{x}{y}[/tex]

∴ cotФ = [tex]-\frac{1}{8}[/tex]