2\3 of 5 maybe use a tape diagram

Answer:

30ml

Step-by-step explanation:

Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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Answer:The plant growth 1/2 inches each week

Step-by-step explanation:

Considering the definition of an inequality, the maximum number of days that Ariana can rent the car while staying within her budget is 5 days.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that:

Being "x" the number of days that Ariana can rent the car, the inequality in this case is

30.42x + 0.06×450 ≤200

Solving:

30.42x + 27 ≤200

30.42x ≤200 - 27

30.42x ≤173

x ≤173÷ 30.42

x≤ 5.687

Finally, the maximum number of days is 5 days.

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The number of prime factors of 3×5×7+7 is 3.

To find the number of prime factors, we need to calculate the given expression:

3×5×7+7 = 105+7 = 112.

The number 112 can be factored as 2^4 × 7.

In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.

So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.

In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.

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The nth term of the given quadratic sequence begins 8, 11, 16, 23, 32, = n² + 7.

Quadratic sequences are those that contain a word. They are distinguished by the fact that the first differences between terms really aren't equal, but really the second differences between terms remain equal.

The difference between each term inside a quadratic series is not equal, but the second difference between every term is equal.

A linear sequence is a number pattern that increases or lowers by the same amount each time. The common difference is the amount by which it increases or drops. Quadratic sequence: The difference between every term increases or decreases at a steady rate in quadratic sequence.

Given:

8, 11, 16, 23, 32,

The nth rule is:

n² = 1² , 2², 3², 4² , 5²

n² = 1 , 4 , 9 , 16 , 25

Subtracting the equation:

8 , 11 , 16 , 23,  32

1 , 4, 9 , 16 , 25

we get:

7, 7, 7, 7

So that the nth term of the given quadratic sequence begins

8, 11, 16, 23, 32, = n² + 7.

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The correct answer is C. Time-based resource and activity data is easy to collect and practical capacity is used by time-driven-activity-based costing.

Time-driven-activity-based costing (TDABC) is a refined version of activity-based costing (ABC) that simplifies the process of calculating costs by using practical capacity as the denominator for activity rates instead of actual capacity. TDABC also uses time equations to estimate the amount of time needed to perform each activity, thus making it easier to collect time-based resource and activity data.

Compared to conventional ABC, TDABC has several advantages, including:

Easy expansion: TDABC assigns costs to unused capacity, allowing service companies to more easily expand the number of services they offer.

Quality control assessment: Theoretical capacity used in TDABC provides service companies with a better method to assess quality control than conventional ABC.

Minimized line items: TDABC minimizes the number of line items on a service's bill.

However, the main advantage of TDABC over conventional ABC is that it uses practical capacity, which is based on actual time available for work, making it easier to collect time-based resource and activity data.

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Answer:

23

Step-by-step explanation:

hope this helps

Step-by-step explanation:

Center = (-1/2 Coefficient of x, -1/2 Coefficient of y)

or, Center = {-1/2*(-18), -1/2*(-14)}

or, Center = (18/2, -14/2)

Ans: (9, 7)

Answer:

1/36

Step-by-step explanation:

P(rolling a 3) and P(rolling a 4)

= 1/6 and 1/6

=(1/6)(1/6)

=1/36

Answer:

1. option 3

2. option 1

Step-by-step explanation:

look at the picture ...........

Answer:

The first one is 3 and 31/48

The second one is 25

In general, any symmetrical object will have a net torque of zero if the axis of rotation is through its center of mass.

It seems that the list of examples is missing from your question, so I'll provide a general explanation of situations where the net torque is zero. Please feel free to provide a list of examples for a more specific answer.

A net torque of zero about an axis perpendicular to the page and extending from the center means that the total clockwise torque is equal to the total counterclockwise torque. This can occur when:

1. There are no external forces acting on the system, so there is no torque.
2. The external forces are acting along the line of the axis, causing no rotation and hence no torque.
3. The clockwise and counterclockwise torques cancel each other out, resulting in a net torque of zero.

Some examples of objects that have a net torque of zero about the axis perpendicular to the page and extending from the center of the object are a sphere, a cube, a cylinder, and a cone.

Please provide the list of examples you'd like me to evaluate, and I'll be glad to help you determine which have a net torque of zero.

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SOLUTION

The given equation is:

To graph the equation, calculate a few values of y

When x=3, it follows:

It follows that the point (0,4) is on the graph.

Following the same procdure few other possible points are:

The graph of the function is shown below:

The two way table given by option z is a possible representation of the data collected.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

From the first table, we have that:

Then, for the basic packages, we have that resorts were chosen 2.5 times more than tours, while cruises were chosen 1.5 times more than tours.

Option z shows these same ratios between the amounts, hence it is the correct option.

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Answer: Harvey’s used 10.5 pounds of Colombian coffee and 7.5 pounds of mocha jave coffee

Step-by-step explanation:

Let x = pounds of Colombian coffee

Let y = pounds of mocha jave coffee

see image

Harvey used 10.5 pounds of Colombian Coffee and 7.5 pounds of Mocha Java Coffee.

It is given that per pound price of Colombian Coffee is $ 4.89 and per pound price of Mocha Java Coffee is $ 5.43.

We have to write an equation and solve for no. of pounds of each type of beans used by Harvey.

What are the algebraic expressions ?

The algebraic expressions are the combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Let's assume ; x = pounds of Colombian Coffee and y = pounds of Mocha Java Coffee.

It is given that ;

x + y = 18 pounds

or

x = 18 - y -------------- ------- ----- ----- Equation 1

Also ;

Per pound price of Colombian Coffee = $ 4.89

Per pound price of Mocha Java Coffee = $ 5.43

So;

The new expression will be ;

4.89 x + 5.43 y = 92.07

4.89 (18 - y) + 5.43 y = 92.07

4.89 × 18 - 4.89 y + 5.43 y = 92.07

88.02 + 0.54 y = 92.07

0.54 y = 92.07 - 88.02

0.54 y = 4.05

y = 4.05 ÷ 0.54

⇒ y = 7.5 pounds

So ;

x = 18 - 7.5

⇒ x = 10.5 pounds

Thus , Harvey used 10.5 pounds of Colombian Coffee and 7.5 pounds of Mocha Java Coffee.

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In a cross-country race with 30 runners, there are 4,060 different groups that can finish in the top 3 positions.

Use the concept of combination defined as:

Combinations are made by choosing elements from a collection of options without regard to their sequence.

Contrary to permutations, which are concerned with putting those things/objects in a certain sequence.

Given that,

There are 30 runners in a cross-country race.

The objective is to determine the number of different groups of runners that can finish in the top 3 positions.

To determine the number of different groups of runners that can finish in the top 3 positions:

Use combinations instead of permutations.

In this case:

Calculate the number of different groups,

Use the combination formula:

\(^nC_r = \frac{n!} { (r!(n - r)!)}\)

Here

we have 30 runners and want to select 3 for the top 3 positions.

Put the values into this formula:

\(^{30}C_3 = \frac{30!}{ (3!(30 - 3)!)}\)

Simplifying this expression, we get:

\(^{30}C_3 = \frac{30!}{ (3! \times 27!)}\)

Calculate the value:

\(^{30}C_3 = 4060\)

Hence,

There are 4,060 different groups of runners that can finish in the top 3 positions.

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To determine which method can be used to prove the similarity of the given triangles, use SAS, SSS, and AA.

To determine which method can be used to prove the similarity of the given triangles, let's briefly discuss each method:

a) SAS~ (Side-Angle-Side Similarity): If two sides of a triangle are proportional to two sides of another triangle, and their included angles are congruent, then the triangles are similar.

b) SSS~ (Side-Side-Side Similarity): If all three sides of a triangle are proportional to the corresponding sides of another triangle, then the triangles are similar.

c) AA~ (Angle-Angle Similarity): If two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar.

Unfortunately, I cannot see the given triangles in your question, but based on the provided information, you can use these explanations to determine which method (SAS~, SSS~, or AA~) can be used to prove their similarity. If none of these methods apply, then similarity cannot be proved for the triangles.

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the solution to the system of equations is x = 2 and y = 1.

To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.

Given the system of equations:

1) y = 6x - 11

2) -2x - 3y = -7

Step 1: Solve equation (1) for y.

  y = 6x - 11

Step 2: Substitute the value of y from equation (1) into equation (2).

  -2x - 3(6x - 11) = -7

Step 3: Simplify and solve for x.

  -2x - 18x + 33 = -7

  -20x + 33 = -7

  -20x = -7 - 33

  -20x = -40

  x = (-40)/(-20)

  x = 2

Step 4: Substitute the value of x into equation (1) to find y.

  y = 6(2) - 11

  y = 12 - 11

  y = 1

Therefore, the solution to the system of equations is x = 2 and y = 1.

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The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.

To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.

Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.

Therefore, the solution to the system of equations is x = 2 and y = 1.

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Answer:

where are the numbers?

Step-by-step explanation:

where are the numbers

The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:

Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:

P = 110V x 0.12A

= 13.2 W

Calculate the cost per second-The cost per second can be calculated using the formula:

Cost per second = Power x Cost per Joule

C = P x CC

= 13.2 W x 1.8 x \(10^-7\) $/J

≈ 2.376 x 10^-6 $/s

Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.

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Answer:

25.12 in.

Step-by-step explanation:

Circumference formula: pi*2*radius

radius=4, so

3.14*2*4=25.12

Answer:

is there a visual version of this question?

Answer:

x + y = 180          Fact about angles and parallel lines.

x - y  = 35           Given

Solution

Add the equations together

2x = 180 + 35       Combine

2x = 215                Divide by 2

2x/2 = 215/2         Divide

x = 107.5

The larger angle is 107.5

The smaller angle is 180 - 107.5 =  72.5

Answer:

Step-by-step explanation:

The diagonal of a square is given as, √2 × side. Rearranging this formula to calculate the side of the square, we get, side = diagonal/√2 = (√2 × diagonal)/2 . Thus, the perimeter of the square can be calculated using the formula, P = 2√2 × diagonal.

Diagonal = 5 * 2 = 10

P = 2√2 * 10

P = 20√2

Let the number missed = x

They made 6 times that amount which would be 6x

The total of missed and made is 308:

X + 6x = 308

Combine like terms

7x = 308

Divide both sides by 7

X = 44

They missed 44

Answer:

H

Step-by-step explanation:

Answer:

1/2 - 25

Sana nakatulong

1. f(x) =\(1 - 4x^2 + 8(x^2)^2/2! - ...\) this represents a power series representation for the function f(x) = \(1 - 4x^2.\)

2.f(x) = \(-3 - x^6 + (x^6)^2/2! - ...\) this represents a power series representation for the function f(x) =\(-3 - x^6.\)

1. For the function f(x) =\(1 - 4x^2,\) we can express it as a power series by expanding the terms around x = 0. We can rewrite the function as f(x) =\(1 - 4x^2 = 1 - 4(x^2) = 1 - 4(x^2)^1.\)

By using the binomial series expansion, we have:

f(x) = \(1 - 4(x^2)^1 = 1 - 4(x^2)(1) + 4(1)(-1)(x^2)^2/2! + ...\)

Simplifying the terms, we get:

f(x) =\(1 - 4x^2 + 8(x^2)^2/2! - ...\)

The interval of convergence can be determined by considering the values of x for which the series converges. In this case, the power series representation of f(x) will converge for values of x within the interval (-1, 1). The endpoints x = -1 and x = 1 are excluded from the interval of convergence.

2. For the function f(x) = -\(3 - x^6,\)we can similarly express it as a power series by expanding the terms around x = 0. We can rewrite the function as f(x) =\(-3 - x^6 = -3 - (x^6)^1.\)

Expanding the series using the binomial series expansion, we have:

f(x) =\(-3 - (x^6)^1 = -3 - (x^6)(1) + (1)(-1)(x^6)^2/2! + ...\)

Simplifying the terms, we get:

f(x) = \(-3 - x^6 + (x^6)^2/2! - ...\)

The interval of convergence for this power series representation is the set of values of x for which the series converges. In this case, the power series representation will converge for all values of x since there are no terms dependent on x. Therefore, the interval of convergence is (-∞, ∞).

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Answer:

sorry di ko Alam ehhh Hindi ko pa Kasi na aral yan