A deli wraps its cylindrical containers of hot food items with plastic wrap. The containers have a diameter of 5.5 inches and a height of 3 inches. What is the minimum amount of plastic wrap needed to completely wrap 8 containers? Round your answer to the nearest tenth and approximate using π = 3.14.

(fg)(x) = √(13 - x²). The domain of f(x) is [-3, 3], whereas the domain of g(x) is (-∞, -2]∪[2, ∞).

To find (fg)(x), we need to first compute the composition of the two functions: f(x) = √9 - x² and g(x) = √x² - 4.

Then (fg)(x) = f(g(x)).We have, f(g(x)) = f(√x² - 4) = √[9 - (√x² - 4)²] = √[9 - (x² - 4)] = √(13 - x²)

Therefore, (fg)(x) = √(13 - x²).

To find the domain of the composition, we have to ensure that both functions are defined and nonnegative. The domain of f(x) is [-3, 3], whereas the domain of g(x) is (-∞, -2]∪[2, ∞).

Therefore, the domain of (fg)(x) = √(13 - x²) is the intersection of the two domains, which is [-3, -2] ∪ [2, 3].

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5m+7k-2m+k

5m-2m+7k+k

3m+8k

Answer:

3m +8k

Step-by-step explanation:

5m + 7k - 2m + k

We want to combine like terms

5m-2m are like terms 5m -2m = 3m

7k +k are like terms 7k+k = 8k

5m + 7k - 2m + k = 3m +8k

Answer:

2−12x+36

Step-by-step explanation:

Answer:

(x-6)² = (x-6)(x-6) = x² - 12x + 36

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

When you analyze the graph for your slope, you RISE over RUN meaning you go up/down first and then left/right next.

I got 1/2 because RISE over RUN is written the same (or is the same) as Y over X

2/4 = 1/2

3/6 = 1/2

4/8 = 1/2

5/10 = 1/2

therefore your slop must be 1/2!

hope this helpsss

Answer:

Step-by-step explanation:

Answer:

\(18=y\)

Step-by-step explanation:

Assuming that your equation is \(1x+1+15=y\), you would first substitute in the 2: \((1*2)+1+15=y\)

Next, simplify and combine like terms: \(2+16=y\)

Finally, simplify again to get the answer: \(18=y\)

Answer:

x=34

Step-by-step explanation:

132-64=

68/2=

34

PLEASE MAKE ME BRAINLIEST

9514 1404 393

Answer:

  73.4°

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(x°) = 23/24

  x° = arcsin(23/24) ≈ 73.4°

Answer: 83r^2 - 59 + 60

Step-by-step explanation:

R^2 - 59R - 82r^2 + 60

= 83r^2 - 59 + 60

a) Probability of hitting the black circle is closer to zero than 1.

b) Probability of hitting the white portion is closer to 1 than 0

To get the probability of getting any point in the given image, we have to first of all find the area of the square which is:

Area of Square = 9 * 9 = 81 sq. units

Area of Circle = π * 1.5² = 7.07 Sq.units

Area of white part = 81 - 7.07

Area of white part = 73.93 Sq.units

a) Probability of hitting the black circle = 7.07/81 = 0.095

This probability is closer to zero than 1.

b) Probability of hitting the white portion = 73.93/81 = 0.9127

This probability is closer to 1 than 0

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Answer:

(f · g)(x) = 4x³ + x² - 20x - 5

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 4x + 1

g(x) = x² - 5

(f · g)(x) is f(x)g(x)

Step 2: Find (f · g)(x)

We know that,

\( \Large \underline{\boxed{\sf{ (f . g)(x) = f(x) \times g(x) }}}\)

By substituting values :

\( \sf : \implies (f . g)(x) = (4x+1) \times (x^{2} -5)\)

\( \sf : \implies (f . g)(x) = 4x(x^{2} -5) +1(x^{2} -5)\)

\( \sf : \implies (f . g)(x) = 4x^{3} - 20x + x^{2} -5\)

\( \sf : \implies (f . g)(x) = 4x^{3} + x^{2} - 20x -5\)

Hence, answer is :

\(\underline{\boxed{\sf{(f . g)(x) = 4x^{3} + x^{2} - 20x - 5}}}\)

Answer:

2x and 9x are the coefficients.

Step-by-step explanation:

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression (including variables such as a, b and c ).

Answer: 20.9420 is your answer

Solution:

X^2+11x+30

=X^2+(6+5)x+30

=X^2+6x+5x+30

=X(x+6)+5(x+6)

=(X+6)(x+5).

So,the answer is (x+6)(x+5).

Answer:

The Balance is Paid off within the Deferment Period

Step-by-step explanation:

Let's start by recalling our deferment formula.

I always like to think "D=B/C"

Deferment=Broke/Cash

But since we want to know how it is paid off, the mathematical formula:\(B=D/C\\D/C=Period\\Period=Amount\\D/C=\alpha \\\alpha =D/C\)

Step-by-step explanation:

(-1,3)

just move the point over 5 lines and then up 4 lines. or

4-5 = -1

-1 +4=3

The solutions to the systems of linear equations by elimination method are listed below:

In this problem we find four cases of two linear equations with two variables. There are different methods to solve the system, herein we must use elimination method to find the solution to each system of linear equations, which takes advantage of adding / subtracting linear equations and multiplying linear equations by scalars in order to get every solution set.

Case 1

x - y = 1

x + y = 3

First, add the two equations:

(x - y) + (x + y) = 1 + 3

2 · x = 4

x = 2

Second, determine the variable y:

y = 3 - x

y = 3 - 2

y = 1

Point (x, y) = (2, 1) is a solution of the system of equations.

Case 2

x + y = 1

x + y = 11

Subtract the second equation from the first one:

(x + y) - (x + y) = 1 - 11

0 = - 10 (CRASH!)

The system of linear equations has no solution.

Case 3

x + 4 · y = 11

x - 6 · y = 11

First, subtract the second equation from the first equation:

(x + 4 · y) - (x - 6 · y) = 11 - 11

10 · y = 0

y = 0

Second, determine the variable y:

x = 11 + 6 · y

x = 11 + 6 · 0

x = 11 + 0

x = 11

Point (x, y) = (0, 11) is a solution of the system of equations.

Case 4

- 3 · x + 3 · y = 6

x + 3 · y = 18

First, subtract the second equation from the first equation:

(- 3 · x + 3 · y) - (x + 3 · y) = 6 - 18

- 4 · x = - 12

x = 3

Second, determine the variable y:

3 · y = 18 - x

3 · y = 18 - 3

3 · y = 15

y = 5

Point (x, y) = (3, 5) is a solution of the system of equations.

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Answer:

Step-by-step explanation:

46 feet

The New perimeter of Brandy deck is 46 feet .

The entire length of all the sides of a rectangle is called the perimeter. As a result, we can calculate the perimeter of a rectangle by adding all four sides.

Using the given information,

Width = 7 Feet

Length = 12 feet

Perimeter = 2 (Width + Length)

                 = 2(7+12)

                 =2(19)

                 =38

Perimeter when deck is 4 feet longer =  38 + 4+4=46 Feet

Hence, the  new perimeter of a deck is 46 feet.

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Answer:

B

Step-by-step explanation:

B sqrtb is right in front of 2, so 2 squared is 4, so a little bit more than 2 squared will be a little more than four.

Answer:

C) C < 4

Step-by-step explanation:

because c is on the right side of four on the number line

Your roommate shook 10 hands at the party you and your roommate hosted.

If each person at the party shakes hands with a different number of people, and each person did not shake hands with their own roommate, then the number of hands each person shakes will form a set of integers from 0 to 19, with no duplicates. Since there are 20 people at the party, the sum of the numbers from 0 to 19 is 20 * 19 / 2 = 190.

If we subtract the number of hands that each person shakes from this sum, we find that the number of hands that my roommate shook is equal to 190 - (0 + 1 + 2 + ... + 19) = 190 - (0 + 19) * 20 / 2 = 190 - 20 * (19 / 2) = 190 - 20 * 9.5 = 190 - 190 = 0. This is not possible, since each person must shake at least one hand. The only possible answer is 10, which satisfies the conditions.

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The nonlinear state representation of the given system is i = f(x) + g(x)T, where x is the state vector and g(x) is the non-zero component of the vector. In this case, the non-zero component of vector g(x) is [0; g*sin(x2)], where g = 9.81 and x2 represents the second component of the state vector.

To obtain the nonlinear state representation, we start with the given system equation ml?ö + b? + mgl sin(0) = T.

Let x1 represent ?, the first component of the state vector, and x2 represent 0, the second component of the state vector.

To construct the state equations in the form i = f(x) + g(x)T, we need to determine the functions f(x) and g(x).

Considering the equation ml?ö + b? + mgl sin(0) = T, we rewrite it as ml?ö = T - b? - mgl sin(0).

Now, we can define the state equations:

x1' = x2

x2' = (T - b*x2 - m*g*l*sin(x1))/(m*l)

The function f(x) is given by f(x) = [x2; (T - b*x2 - m*g*l*sin(x1))/(m*l)].

The non-zero component of the vector g(x) is determined by the terms involving T. Since T appears in the second component of the state equation, the non-zero component of g(x) is [0; g*sin(x2)], where g = 9.81.

Therefore, the non-zero component of vector g(x) is [0; 9.81*sin(x2)].

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Considering the definition of area, the length of the sides on the garden is 4.24 ft.

The area is the measure of a space delimited by a contour that is called perimeter. In other words, the area is the measure of the region or surface enclosed by a geometric figure.

A square is a flat geometric figure that has four equal sides.

The area of a square is equal to the square of the length of the side, or what is the same, the multiplication of its sides:

Area of a square= Side× Side= Side²

In this case you know:

Replacing in the definition of area of a square:

18 ft²= Side²

Solving:

√18 ft²= Side

4.24 ft= Side

Finally, the length of the sides on the garden is 4.24 ft.

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The linear function of the profit p in terms of the number of computers(x) sold per month is:

F(p)= 4x +1300;

Profit made on selling 450 computers a month = 2500

profit made on selling 600 computers a month= 3100

Then let F(p) be the function representing the profit in terms of the computers sold

Where the number of computer sold are a variable of x

Then,

F(p): 450x = 2500

F(p): 600x = 3100

Using two-point form as both are proportional

y - 3100 = 3100-2500/600-450(x-450)

y - 3100 = 600/150(x-450)

y-3100= 4(x-450)

y-3100= 4x - 1800

y=4x + 3100 - 1800

y = 4x + 1300

where y=F(p) i.e the profit made on the sale of x number of computers per month.

so,

F(p)= 4x +1300;

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Answer:

2 packets of chocolates

Step-by-step explanation:

Find how many packets of chocolates they made by dividing 1/3 by 1/6:

1/3 / 1/6

= 1/3 x 6

= 2

So, the factory made 2 packets of chocolates

Answer: Janey has $115, and Teresa has $230.

Step-by-step explanation:

Set x be the money that Janey have, then Teresa have 2x.

x + 2x = 345

      3x = 345

         x= $115

2x= 2(115)= $230

Answer:

Step-by-step explanation:

The revenue function is given to you, it's just not given in equation form. In equation form, the function is

R(p) = p(120 - 4p)

If we are looking for the number of tickets that causes the revenue to be $0, we replace R(p) with 0 and solve for p.

0 = p(120 - 4p). That means, by the Zero Product Property, that

p = 0 or 120 - 4p = 0 which gives us, when we solve each one of those equations, that

p = 0 or

120 = 4p and

p = 30. The reasoning is the bold statement up above.

The equation we would use to determine the number of tickets needed to sell for the revenue to be $600 will be

600 = p(120 - 4p)

Answer:

a³b²c⁵

Step-by-step explanation:

simply count them

Answer:

I believe 6in squared is the correct answer

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

6*?=24 in

6*4=24in

if it is 3 in on the smaller one, it also will be 2 so it will be 6.

plane PBC is right answer.

it's a logical answer....

Answer:

Plane PBC

Step-by-step explanation:

Plane PBC contains 4 points : P, B, C, and Q.

The question asks which contains all three of C, Q, and P.