❗️❗️PLEASE HELP QUICK❗️
(a)Find the greatest common factor of 15 and 10.
(b)Use the GCF to factor 15 -10.
(a) GCF = ?

(b) 15 – 10 = ? x ( ? - ?)

Answer:

C

Step-by-step explanation:

Answer:

3rd choice

Step-by-step explanation:

Sniec you cant have two domains same

Answer:

8 dollars

Step-by-step explanation:

12/3=4

4x2=8

The phrase "number of values for which a certain condition holds" is referred to as multiplicity. The phrase, for instance, can be used to describe the magnitude of the totient valence function or the frequency with which a given polynomial equation has a root at a specific location.

Let z_0 be a root of a function f, and let n be the least positive integer n such that f^((n))(z_0)!=0. Then the power series of f about z_0 begins with the nth term,

f(z)=sum_(j=n)^infty1/(j!)(partial^jf)/(partialz^j)|_(z=z_0)(z-z_0)^j,

and f is said to have a root of multiplicity (or "order") n. If n=1, the root is called a simple root '

The multiplicity of a member of a multiset in mathematics is the number of times the member appears in the multiset. The multiplicity of a root, for instance, is how many times a given polynomial has a root at a particular point.

It's crucial to understand the concept of multiplicity in order to correctly count without mentioning exceptions (for example, double roots counted twice). Thus, "counted with multiplicity" is used.

This can be highlighted by counting the number of different elements, as in "the number of separate roots," if multiplicity is disregarded. However, multiplicity is always taken into account when a set (as opposed to a multiset) is established, therefore the word "different" is not necessary.

Hence ,Multiplicity means the quality or state of being multiple or various. and

the number of components in a system (such as a multiplet or a group of energy levels)

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Let z_0 be a root of a function f, and let n be the least positive integer n such that f^((n))(z_0)!=0. Then the power series of f about z_0 begins with the nth term,

f(z)=sum_(j=n)^infty1/(j!)(partial^jf)/(partialz^j)|_(z=z_0)(z-z_0)^j,

and f is said to have a root of multiplicity (or "order") n. If n=1, the root is called a simple root '

The multiplicity of a member of a multiset in mathematics is the number of times the member appears in the multiset. The multiplicity of a root, for instance, is how many times a given polynomial has a root at a particular point.

Answer:

Hello! answer: 1/2 and reduction

Step-by-step explanation:

a scale factor of 1/2 was applied because you do 3.4 ÷ 2 = 1.7 so thats 1/2 scale factor and its a reduction because the triangle is getting smaller then the original triangle hope that helps!

The expression for the values of b, when b = 8.9 is 47.1, when b = 5.1 is 35.7 and when x = 0.2 is 21

An expression in maths, a sentence with a minimum of two numbers or variables and at least one math operation.

Given an expression b(3) + 20.4

When b = 8.9

8.9*3 + 20.4 = 47.1

When b = 5.1

5.1*3 + 20.4 = 35.7

When b = 0.2

0.2*3 + 20.4 = 21

Hence, The expression for the values of b, when b = 8.9 is 47.1, when b = 5.1 is 35.7 and when x = 0.2 is 21

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The area of the patio is equal to the total area of the patio and the pool combined minus the area of the pool.
So, the area of the patio is 176m² - 50m² = 126m².

To find the area of the patio, we need to subtract the area of the pool from the total area of the patio and the pool combined.

    Start by calculating the area of the pool:
  - The length of the pool is 10m and the width is 5m, so the area of the pool is 10m * 5m = 50m².

  Next, calculate the total area of the patio and the pool combined:
  - The length of the patio and the pool combined is 10m + 2 * 3m = 16m.
  - The width of the patio and the pool combined is 5m + 2 * 3m = 11m.
  - Therefore, the total area of the patio and the pool combined is 16m * 11m = 176m².

  Finally, calculate the area of the patio:
  - The area of the patio is equal to the total area of the patio and the pool combined minus the area of the pool.
  - So, the area of the patio is 176m² - 50m² = 126m².

The area of the patio is 126m².

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The area of the patio surrounding the pool is 126 square meters.

To calculate the area of the patio surrounding the pool, we need to find the total area of the larger rectangle (pool + patio) and then subtract the area of the pool.

Given:

Calculate the length and width of the larger rectangle (pool + patio).

The length of the larger rectangle will be the length of the pool plus twice the width of the patio (since there are two sides of the patio along the length).

The width of the larger rectangle will be the width of the pool plus twice the width of the patio (for the two sides of the patio along the width).

Length of the larger rectangle = Length of pool + 2 x Width of patio

Length of the larger rectangle = 10m + 2 x 3m = 10m + 6m = 16m

Width of the larger rectangle = Width of pool + 2 x Width of patio

Width of the larger rectangle = 5m + 2 x 3m = 5m + 6m = 11m

Calculate the area of the larger rectangle (pool + patio).

Area of the larger rectangle = Length * Width

Area of the larger rectangle = 16m * 11m = 176 square meters

Calculate the area of the pool.

Area of the pool = Length of pool * Width of pool

Area of the pool = 10m * 5m = 50 square meters

Calculate the area of the patio.

Area of the patio = Area of the larger rectangle - Area of the pool

Area of the patio = 176 square meters - 50 square meters = 126 square meters

Therefore, the area of the patio surrounding the pool is 126 square meters.

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Answer:

8 40/7 - 5 40/7 = (56 + 40)/7 - (35 + 40)/7 = 96/7 - 75/7 = 21/7 = 3

Hope this helps!

:)

Answer:

8 40/7 - 5 40/7 = (56 + 40)/7 - (35 + 40)/7 = 96/7 - 75/7 = 21/7 = 3

Hope this helps!

:)

Step-by-step explanation:

Answer:

22/1 = x/3

Step By Step:

Hope this helps you out in figuring the answer ;]

Answer: i looked up the table so the equation is... 22/1=x/3

x=66

Step-by-step explanation:

Next time include the table but at least it was online!

How to solve: 22 miles per 1 gallon (unit rate) = _(x/?)_ miles per 3 gallons

Cross multiply: 66=1x

x=66

OR 22*3=66, x=66

Answer:

The third one

Step-by-step explanation:

Gabe should place the bulb at the point (0, 1/2) to ensure a perfect beam of light in his flashlight.

To ensure a perfect beam of light in Gabe's flashlight, the bulb should be placed at the focus of the parabolic reflecting mirror. In this case, since the parabola opens upward and has its vertex at the origin, the focus will be located on the positive y-axis.

Given that the diameter of the parabola is 4 inches and the depth is 1 inch, we can determine the equation of the parabola in standard form: y² = 4px, where p is the distance from the vertex to the focus.

The diameter of the parabola is 4 inches, which means the distance from the vertex to the rim of the parabola (on either side) is 2 inches. Since the depth is 1 inch, the focus will be located at a distance of p = 1/2 inch above the vertex.

Therefore, to guarantee that the flashlight's beam of light is perfect, Gabe should position the bulb at (0, 1/2).

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If the dimensions of the prism are doubled the surface area of the enlarged prism is 640 cm²

where

h = height

l = length

w = width

Therefore, if the dimension of the prism are doubled the new dimension will be as follows:

l = 5(2) = 10 cm

w = 2(2) = 4 cm

h = 10(2) = 20 cm

Therefore,

surface area = 2(10 × 4) + 2(10 × 20) + 2(20 × 4)

surface area = 2(40) + 2(200) + 2(80)

surface area = 80 + 400 + 160

surface area = 640 cm²

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Volume

It exists not linear the curve indicates that the rate of change exists not constant.

Linear functions exist as those whose graph exists as a straight line. A linear function exists that can be characterized by the equation

y = mx + c, Where m exists the slope and c exists the intercept on the

y-axis. A linear function contains one independent variable and one dependent variable.

Therefore, the correct answer is option c) No, because the curve indicates that the rate of change is not constant.

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Answer:

(x +13)(x + 2)

Step-by-step explanation:

Sum = 15

Product = 26

Factors = 2 , 13

When we add the factors , we get 15 ( 13 +2 = 15)

When we multiply 2 and 13, we get 26 (13*2 = 26)

x² + 15x + 26 = x² + 13x +2x  + 26

                     =x(x + 13) + 2(x + 13)

                      = (x +13)(x + 2)

So far as to attempt this question we can do either it by factorisation method by creating factors OR by splitting middle term method.

\(\mapsto\sf{ {x}^{2} + 15x + 26}\)

Splitting middle term 15x in terms of 13x and 2x gives their sum to 15x and their product is equal to 26.

\(\mapsto\sf{ {x}^{2} + 13x + 2x + 26 = 0}\)

\(\mapsto\sf{x(x + 13) + 2(x + 13)} = 0\)

\(\mapsto\sf{(x + 2)(x + 13) = 0}\)

CASE 1:

\(\mapsto\sf{x + 2 = 0}\)

CASE 2:

\(\mapsto\sf{x + 13 = 0}\)

Thus,

\(\sf{ \therefore \: ( {x}^{2} + 15x + 26) = (x + 2)(x + 13)}\)

PS: (Factorisation method is been resolved in attachment)

Answer:

Laura will pay an interest of  $75,600.

Step-by-step explanation:

Our formula: A = P(1 + rt)

Principal = $105,000

Rate = 6%

Time = 12 years

A (amount)= 105,000(1 + (0.06 × 12)) = 180,600

$180,600 - $105,000 = $75,600.

The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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The probability of rolling the die once to get a four is 1/6

So we do 1/6*1/6*1/6 which is 1/216 since it's combined probabilities

Hope this helped

The answer is " 7 to the power 3rd ".

We translate the algebraic expression 7³ into a verbal expression. The given expression has a base number of 7 raised to the power of 3 . This means is that 7 is multiplied by itself 3 times. So we should write " 7 to the power 3rd "

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True The six sigma DMAIC approach is a problem solving methodology that involves Define, measurement , Analyze, Improve, and Control steps.

The six sigma DMAIC approach is a problem solving methodology that follows a defined sequence of steps to ensure that all potential causes of a problem are identified and addressed. It is a powerful tool for businesses to use when trying to improve their processes, products, and services. The DMAIC approach stands for Define, Measure, Analyze, Improve, and Control. The Define step involves understanding the problem and setting the goal. The Measure step involves gathering data and metrics on the process. The Analyze step involves analyzing the data to identify potential root causes. The Improve step involves developing and implementing solutions. The Control step involves monitoring the process to ensure that the solutions are effective. This approach is very effective and should be used whenever possible to ensure that all issues are addressed and the best possible solution is achieved.

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Two-tailed because there is no predicted direction of the difference. The correct answer is D.

In hypothesis testing, a one-tailed test is used when the researcher has a specific prediction about the direction of the effect. They expect the results to be either greater than or less than a certain value. However, in this scenario, the researcher simply wants to investigate whether the new type of exercise improves people's health without any specific directional prediction.

A two-tailed test is appropriate when the researcher wants to determine if there is a significant difference between the groups being compared, but without specifying the direction of the difference. In this case, the researcher wants to examine if the new exercise has any effect on health, whether it improves or worsens it. Therefore, a two-tailed test is suitable as it allows for the possibility of observing a significant difference in either direction.

Therefore, considering these factors, the researcher should conduct a two-tailed test to assess the potential impact of the new exercise on people's health. The correct answer is D.

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((aa)*(ba)(bb)*) + ((aa)*(ab)(bb)*) + ((aa)*(bb)*) + ((aa)*(ab)(aa)*(bb)*)

This regular expression represents strings where the total number of 'a's and 'b's is odd.

To find a regular expression for the set {an bm : (n + m) is odd}, we can break it down into two cases: when (n + m) is odd and when (n + m) is even.

Case 1: (n + m) is odd

In this case, either n is even and m is odd, or n is odd and m is even.

If n is even and m is odd, we can represent it as (aa)*(ba)(bb)*.

If n is odd and m is even, we can represent it as (aa)*(ab)(bb)*.

Case 2: (n + m) is even

In this case, both n and m must be either even or odd.

If n and m are both even, we can represent it as (aa)*(bb)*.

If n and m are both odd, we can represent it as (aa)*(ab)(aa)*(bb)*.

Combining both cases, the regular expression for the set {an bm : (n + m) is odd} is:

((aa)*(ba)(bb)*) + ((aa)*(ab)(bb)*) + ((aa)*(bb)*) + ((aa)*(ab)(aa)*(bb)*)

This regular expression represents strings where the total number of 'a's and 'b's is odd.

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a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

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Answer: I think is a function

Step-by-step explanation:

Answer:

\(A = 135(1.11)^{12}\)

A= $472.29  

Step-by-step explanation:

Different arrangements of candidates are possible is 210.

Given:

There are 7 students on a team. if they must elect a president, a vice president, and a treasurer.

Number of arrangements = \(7_p_{3}\)

= 7!/(7-3)!

= 7!/4!

= 7*6*5*4! / 4!

= 7*6*5*1

= 42*5*1

= 42*5

= 210

Therefore Different arrangements of candidates are possible is 210.

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Answer:

24/35

Step-by-step explanation:

(I posted an explanation on your previous question explaining how to do these problems.  You can go read that if you want because my explanation applies to any question in this concept.)

Decision Variables and Objective:

The decision variables in this transportation model are the quantities to be shipped from each plant to each distribution center. Let's denote the quantity shipped from Marietta to Cleveland as X1, from Marietta to Baltimore as X2, and so on. Similarly, let's denote the quantity shipped from Minneapolis to each distribution center as Y1, Y2, and so forth.

The objective of the optimization model is to minimize the total transportation cost. The transportation cost is determined by multiplying the unit cost of shipping between each plant and distribution center by the corresponding quantity shipped and summing up these costs for all combinations.

To enforce the single sourcing constraint, we need to ensure that each distribution center is served from only one plant. This constraint can be represented by adding the following constraint for each distribution center:

X1 + X2 + X3 + X4 = Demand (for each distribution center)

Y1 + Y2 + Y3 + Y4 = Demand (for each distribution center)

These constraints ensure that the total quantity supplied from all plants to a particular distribution center is equal to the demand of that distribution center, effectively enforcing the single sourcing constraint.

Optimization Model and Interpretation of Results:

The optimization model can be formulated as a linear programming problem, where the objective is to minimize the total transportation cost while satisfying the capacity constraints and the single sourcing constraint.

The Excel Solver can be used to solve this model, providing the optimal solution for the decision variables and the corresponding minimum cost.

Interpreting the printouts, we can observe the values of the decision variables X1, X2, X3, X4, Y1, Y2, Y3, Y4, which represent the quantities shipped between each plant and distribution center. Additionally, we can see the total transportation cost, which is the objective value obtained by summing the costs of shipping for all combinations.

Pertinent results could include identifying the optimal shipping quantities that meet customer demand while minimizing costs. Interesting results might include identifying any significant differences in shipping costs between the plants and distribution centers. Unusual results could involve finding a scenario where the total transportation cost does not decrease proportionally with an increase in supply capacity or demand.

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