Sheena is stocking a shalf with bags of flour that weigh 5 1 /4
5 4/ 1 ​ pounds each. If Sheena stocks the shelf with 13 bags of flour, find the combined weight of the 13 bags.

(a) The number of distinguishable arrangements of the word "acbens" is 180.

(b) The number of distinguishable arrangements of the word "baaben" is 60.

(c) The number of distinguishable arrangements of the word "aabbba" is 15.

(a) The word "acbens" has 6 letters, but two of them ("a" and "b") are repeated. We can use the formula for the number of permutations of n objects with k1, k2, ..., km indistinguishable objects of types 1, 2, ..., m, respectively:

P(n; k1, k2, ..., km) = n! / (k1! k2! ... km!)

For this word, we have k1 = 2 (for the two "a"s) and k2 = 1 (for the "b"). Plugging these values into the formula, we get

P(6; 2, 1) = 6! / (2! 1!) = 360 / 2 = 180

Therefore, there are 180 distinguishable arrangements of the word "acbens."

(b) The word "baaben" also has 6 letters, but this time there are three "a"s and two "b"s. Using the same formula as before, we have k1 = 3 and k2 = 2, so

P(6; 3, 2) = 6! / (3! 2!) = 720 / 12 = 60

Therefore, there are 60 distinguishable arrangements of the word "baaben."

(c) The word "aabbba" has 6 letters, but this time there are four "a"s and two "b"s. Using the same formula as before, we have k1 = 4 and k2 = 2, so

P(6; 4, 2) = 6! / (4! 2!) = 720 / 48 = 15

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Answer:

The volume of a balloon is directly proportional to the cube of its radius, so we can use the formula:

V1/V2 = (R1/R2)^3

Where V1 is the initial volume, V2 is the final volume, R1 is the initial radius, and R2 is the final radius. We know that when the radius is 4 inches, the volume is 192 cubic inches, so we can use this information to find the final volume when the radius is 3 inches.

V1 = 192 cubic inches

R1 = 4 inches

R2 = 3 inches

V1/V2 = (R1/R2)^3

V2 = V1 / (R1/R2)^3

V2 = 192 / (4/3)^3 = 192/ (4/27) = 192 * 27/4 = 192 * 6.75 = 1296 cubic inches

So, 1296 cubic inches of gas must be released to reduce the radius down to 3 inches.

Answer:

D. 1.47

Step-by-step explanation:

Answer:

1.47

Step-by-step explanation:

Answer:

4x+x+x+90=360

6x+90=360

6x=270

x=45

good luck!

4x+x+x+90=360

6x+90=360

6x=270

x=45

Answer:

C: 1, -5

Hope this helps!

Step-by-step explanation:

The x-coefficients have a nice ratio, and one of them is negative. That makes it easy to eliminate x by multiplying the first equation by 4 and adding the second equation:

4(5x+3y) +(-20x-7y) = 4(-10) +(15)

5y = -25 . . . . . simplify

y = -5 . . . . . . . divide by 5

Substitute this result into either equation to find x. I choose to use the first equation.

5x +3(-5) = -10

5x = 5 . . . . . . add 15

x = 1 . . . . . . . divide by 5

The solution is (x, y) = (1, -5).

Answer:

45% increase

Step-by-step explanation:

|140 - 203|/140 = 63/140 = 0.45 = 45%

The correct option related to enrollment of sam in university is C (We cannot be certain whether Sam is or is not a college freshman.)

What is enrollment?

The act of putting yourself or some other person onto the official list of members of a course, faculty or university, or group.

Main body:

as all college freshmen at highlands university take english composition , which means he is enrolled in university.

Sam is enrolled in english composition at highlands university which means he has English as a subject.

But it doses not tell us about his current year , which year he is studying.

therefore ,We cannot be certain whether Sam is or is not a college freshman.

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Answer:$69.99

Step-by-step explanation:

If you start with $100 and spend 3.5% of it every day for 10 days, the amount of money you will have left at the end of the 10 days can be calculated as follows:

Day 1:

Starting with $100

Spending 3.5% of $100 = $3.50

Money left = $100 - $3.50 = $96.50

Day 2:

Starting with $96.50 (money left from Day 1)

Spending 3.5% of $96.50 = $3.38

Money left = $96.50 - $3.38 = $93.12

Day 3:

Starting with $93.12 (money left from Day 2)

Spending 3.5% of $93.12 = $3.26

Money left = $93.12 - $3.26 = $89.86

Continue this process for each of the 10 days, and you will have:

Day 4: $86.72

Day 5: $83.68

Day 6: $80.75

Day 7: $77.92

Day 8: $75.18

Day 9: $72.54

Day 10: $69.99

Therefore, after 10 days of spending 3.5% of $100 every day, you will have $69.99 left.

Answer:

Step-by-step explanation:

69.99

Answer:

\(-\frac{17}{21}\)

Step-by-step explanation:

Negative and positive is negative.

Negative and negative is positive.

Positive and positive is positive.

\(\frac{1}{3} +-\frac{7}{4}=\frac{1}{3}-\frac{7}{4} = -\frac{17}{12}\)

Calculations:

Answer:

              \(\bold{a_1=7\,,\quad a_2=2\,,\quad a_3=-3}\)

Step-by-step explanation:

                                      \(a_n=12-5n\\\\\\a_1=12-5\cdot1=12-5=7\\\\a_2=12-5\cdot2=12-10=2\\\\a_3=12-5\cdot3=12-15=-3\)

Answer:

A. c=b-4

Step-by-step explanation:

Answer:

$64

Step-by-step explanation:

Let the pay of Bella be x and Glen be y.

ATQ, 7x-5y=46 and 6x+5y=188, x=18, y=16.

Glen earned 4*16=64 bucks on Friday.

Answer: It is 6+n=10, and n=1

Step-by-step explanation:

The required probability is 0.4408.

The operating characteristics of the loading gate problem are:

L = λ/ (μ - λ)

W = 1/ (μ - λ)

Lq = λ^2 / μ (μ - λ)

Wq = λ / μ (μ - λ)

ρ = λ / μ

P0 = 1 - λ / μ

Where, L represents the average number of cars either being loaded or waiting.

W represents the average time a car spends either being loaded or waiting.

Lq represents the average number of cars waiting.

Wq represents the average waiting time of a car.

ρ represents the utilization factor.

ρ = λ / μ represents the ratio of time the worker spends loading cars to the total time the system is busy.

P0 represents the probability that the system is empty.

The probability that there will be more than six cars either being loaded or waiting is to be determined. That is,

P (n > 6) = 1 - P (n ≤ 6)

Now, the probability of having less than or equal to six cars in the system at a given time,

P (n ≤ 6) = Σn = 0^6 [λ^n / n! * (μ - λ)^n]

Putting the values of λ and μ, we get,

P (n ≤ 6) = Σn = 0^6 [(6/ 48)^n / n! * (8/ 48)^n]

P (n ≤ 6) = [(6/ 48)^0 / 0! * (8/ 48)^0] + [(6/ 48)^1 / 1! * (8/ 48)^1] + [(6/ 48)^2 / 2! * (8/ 48)^2] + [(6/ 48)^3 / 3! * (8/ 48)^3] + [(6/ 48)^4 / 4! * (8/ 48)^4] + [(6/ 48)^5 / 5! * (8/ 48)^5] + [(6/ 48)^6 / 6! * (8/ 48)^6]P (n ≤ 6) = 0.5592

Now, P (n > 6) = 1 - P (n ≤ 6) = 1 - 0.5592 = 0.4408

Therefore, the required probability is 0.4408.

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A function is a mathematical relationship between the domain and the range, two sets of values. The range is the set of output values that the function produces, and the domain is the set of input values for which it is defined.

What is a function, exactly?

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

Consider the function f(x) = x^2 as an illustration. This function generates the value f from the supplied value x. (x). This function will return the value 9 if the given value is 3, since 3^2 = 9.

Generally speaking, a function describes the relationship between two sets of values (the domain) (the range). For instance, the relationship between the input value x and the output value f(x) is described by the function f(x) = x^2.

A formula, which is a guide that explains how to calculate the output value for a specific input value, is typically used to express a function. For instance, the function f(x) = x^2 has the formula f(x) = x^2. We just enter the input value into the formula and simplify to determine the output value for a particular input value.

A fundamental idea in mathematics, functions are used to model and describe a wide variety of real-world occurrences. For instance, the quadratic function f(x) = x^2 + 2x + 1 can be used to simulate how an item would move in the presence of gravity. A population's expansion over time can be predicted using the exponential function f(x) = 3^x.

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The equations take a linear form and are as follows; Part A.

Part B: It takes 5 Hours of work for the total costs to be the same.

The point at which the total costs are the same for both electricians is at;

h = 5hours.

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The correct option is:

Steering wheel the proper distance from the body, at least a foot from the body, right foot should reach behind the brake pedal and knee should be slightly bent.

What is distance?

Distance is a numerical measurement of the amount of space between two objects or points.

distance between steering wheel and body ≥ 1 foot

length of driver's leg + distance from seat to brake pedal = distance from seat to brake pedal when leg is slightly bent

These considerations help to ensure that the driver is seated in a safe and comfortable position while operating the vehicle.

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Answer:

decrease of 206 m

Step-by-step explanation:

Since 156 is less than 362 then it is a decrease and

362 - 156 = 206

Thus a decrease of 206 m

Answer:

  277 cm^2

Step-by-step explanation:

Two of the triangular faces will have areas of ...

  A = 1/2bh = (1/2)(8 cm)(11 cm) = 44 cm^2

and the other two will have areas of ...

  A = 1/2bh = (1/2)(9 cm)(13 cm) = 58.5 cm^2

The base will have an area of ...

  A = LW = (9 cm)(8 cm) = 72 cm^2

So, the total area will be ...

  2(44 cm^2) +2(58.5 cm^2) +72 cm^2 = 277 cm^2

_____

Comment on the problem

You could not actually build this pyramid. The height of the peak above the 8-cm edges must be ...

  √(11^2 -(4.5)^2) = 10.04 cm

The height of the peak above the 9-cm edges must be ...

  √(13^2 -4^2) = 12.37 cm.

The peak cannot be in two places at once. This geometry is impossible.

Answer:

-725

Step-by-step explanation:

Answer:

2 lockers have both

Step-by-step explanation:

Here, if we have stickers being placed on the 5th and 7th stickers, how many lockers have both stickers

What this question is simply asking us is to find the places where we have both stickers occurring

We can get this in places where there are multiples of both

We have this at 35th locker , 70th locker

Answer:

The area is 225 and they are not directly proportional

Step-by-step explanation:

find the area by doing 15 x 15 which is 225

Answer:

225

Step-by-step explanation:

easy

Answer:

a) 4 tennis balls

Step-by-step explanation:

Given information is,

→ 8 packs of tennis balls.

→ His friend has 7 tennis balls.

→ Cole has 25 tennis balls.

Now the total tennis balls will be,

→ 25 + 7 = 32 balls

Then tennis balls in each pack is,

→ 32 balls ÷ 8 packs

→ 32/8 = 4 balls

Hence, each pack has 4 tennis balls.

Geometric solids with circular cross-sections include cylinders, cones, and spheres. Geometric solids with circular cross-sections include cylinders, cones, and spheres. And Cylinders, cones, and spheres can be created by rotating a two-dimensional shape about an axis.

1. Cylinder: A cylinder is a 3-dimensional solid that has two parallel circular bases connected by a curved surface. Cylinders are commonly found in everyday objects like soda cans and water bottles.

2. Cone: A cone is a 3-dimensional solid that has a circular base and a curved surface that tapers to a point. Cones are often used in architecture, like on the top of a church steeple.

3. Sphere: A sphere is a 3-dimensional solid that has a circular shape in all directions. Spheres are found in many natural objects like planets and fruit, as well as in man-made objects like Christmas ornaments.

Geometric solids with circular cross-sections are used in various fields, including architecture, engineering, and science. They are used for creating objects such as cans, pipes, towers, and buildings. These shapes are also used for modeling the natural world, such as the earth, planets, and the stars.

Cylinders, cones, and spheres can be created by rotating a two-dimensional shape about an axis. For instance, a circle that is rotated around its center axis forms a cylinder. Similarly, a triangle that is rotated around one of its sides forms a cone, while a circle that is rotated around its center axis forms a sphere.

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Equation which is used to find the distance between the given points A and B for the given θ = 28° is equal to AB = x cos28°.

Diagram is attached.

As given in the question,

Diagram is attached.

Given angle θ = 28°

Hypotenuse = x

Two points A and B is on the base

Base - length = AB

In the given triangle,

Equation represents the distance between two points is:

cosθ = base / hypotenuse

⇒ cos 28° = AB / x

⇒ AB = x cos 28°

Therefore, the equation used to represent the distance between two point A and B is equal to AB = x cos28°.

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Answer:

m>-3

Step-by-step explanation:

6-9 = -3

m>-3

Answer:

Yes it does but I don't know whether its B or C