Find a recurrence relation for the number of n digit quaternary (0, 1, 2, 3) sequences with at least one 1 and the first 1 occurring before the first 0 (possibly no 0s).

Answer:

the circumference is the total distance round a circle but the are is a measure of a space or region inside the circle but circumference is around it

In the DMAIC (Define, Measure, Analyze, Improve, Control) cycle, the step in which you would identify ways to remove the cause of defects and confirm key variables is the b. improve step.

The Improve step is where you focus on identifying and implementing solutions to address the root causes of defects or problems that were identified during the previous steps of the DMAIC cycle. In this step, you analyze the data collected, conduct experiments, and develop potential solutions to improve the process or system.

This includes identifying ways to remove the causes of defects and ensuring that the key variables are controlled effectively. By implementing improvements and verifying their effectiveness, you aim to achieve the desired outcomes and enhance the overall performance of the process or system being analyzed.

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3/8×4/21=12/168=1/14

1/14 is the answer.....

Answer:

1/14

Step-by-step explanation:

Reason: Given

-------------------------

Reason: Perpendicular lines form right angles.

-------------------------

Reason: All right angles are congruent.

------------------------

Reason: Given

-----------------------

Reason: Given

--------------------

Reason: HL

Answer:

youngest=115

middle=150

elder=230

Step-by-step explanation:

let the youngest be x

the middle will be x+35

the oldest will be 2x

x+x+35+2x=495

4x+35=495

4x=495-35

4x=460

x=115

since the youngest is x,the money he will receive is $115.

the middle will be x+35 which is equal to 115+35=$150.

lastly the oldest will be 2x which is equal to 2×115=$230.

Answer:

Defined variables:

Y - amount the youngest son gets

M - amount the middle son gets

O - amount the oldest son gets

Y got $115

M got $150

O got $230

Step by Step explaination:

If Y is the youngest, then the middle son, M = Y + $35 since the middle child gets $35 more than the youngest gets. The oldest son, O = 2Y since it’s twice the amount the youngest gets.

If you add each of those up, the equation you get is 2Y + (Y+$35) + Y = $495. Now you can solve for Y, the youngest son.

2Y + (Y+$35) + Y = $495

4Y + $35 = $495

4Y = $460

Y = $115

If Y gets $115 and M gets $35 more, M gets $150.

If Y gets $115 and O gets twice that amount, O gets $230.

To double check my work add 230 + 115 + 150. This equals $495. Hope this helps!

Answer:

C

Step-by-step explanation:

Answer:

A. \(12^{2} -11^{2} =a^{2}\)

Step-by-step explanation:

This equation CAN NOT be used to find the value of a since the numbers aren't correctly placed.

\(12^{2}\) = \(c^{2}\)

\(11^{2}\) = \(b^{2}\)

\(a^{2} = a^{2}\)

Once you've input these in the correct places, your equation should be:

\(a^{2} +11^{2} =12^{2}\)

Hope this helps!

Answer:

Were sorry! Answer is not available right now check in later.

Step-by-step explanation:

Answer:  D. 58 degree

Step-by-step explanation:

A triangle has a total of 180 degrees

92 + 30 = 122 degree

180 - 122 = 58 degree

So, the answer is D. 58 degree

Answer:

yes

Step-by-step explanation:

Consider this data:  1, 2, 3, 10

The mean is (1 + 2 + 3 + 10)/4 = 4.  That's larger than Q3 which is 3.  In any list of data, Q3 won't change, but raising the last number in the list (making it an outlier) can raise the mean past Q3.

So, the probability that the next car to drive by Pablo's house will be red or blue is 12/25 that is option C.

Probability is a measure of the likelihood or chance that a particular event or outcome will occur, expressed as a number between 0 and 1, where 0 represents impossibility (an event that will not occur) and 1 represents certainty (an event that will definitely occur). Probability is used to quantify uncertainty and randomness in various fields, such as mathematics, statistics, physics, economics, engineering, and many other areas of science and everyday life.

Here,

To find the probability that the next car to drive by Pablo's house will be red or blue, we need to add up the number of cars that are red or blue and divide it by the total number of cars recorded.

From the table provided, we can see that the number of blue cars is 70 and the number of red cars is 50. Therefore, the total number of cars that are either red or blue is 70 + 50 = 120.

The total number of cars recorded is given as 250, so the probability of the next car being red or blue is:

Probability = Number of red or blue cars / Total number of cars recorded

Probability = 120 / 250

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 120 and 250 is 10.

Probability = 12 / 25

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Answer:

Compound interest is calculated by the given formula

Principle× (1+r/100)^n

Therefore after substitution we get

2000(1+5/100)^4 = $24310

We are asked to find the amount after the compound interest, which will be obtained by subtracting the principle

We get,

24310-2000= $22310

Step-by-step explanation:

The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

The sequence is given as:

0, 2, 4, 6, 8

In the above sequence, we can see that each current term is 2 added to the previous term

i.e.

Tn = 2 + Tn-1

Using the above conjecture, we have

Next term = 8 + 2

Evaluate

Next term = 10

Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

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Answer:

Speed

Step-by-step explanation:

Speed is given . Divide Speed by time . You will get your answer

The cost of gas was 3.051, the profit made by Mank is $366.96.

The amount of old copper tubing removed from air conditioning units is 68.8 kg.

The price paid per pound of copper tubing is $2.50.

The amount of gas used is 4 gallons.

The cost of 1 gallon of gas is $3.051.

By using dimensional analysis, we can convert 68.8 kilograms into pounds as shown below,

1 kg = 2.20462 lbs

68.8 kg = 68.8 × 2.20462 lbs= 151.663856 lbs

Using the above obtained value in pounds and the given price per pound, we can determine the total amount he was paid as shown below,

Total amount paid = 151.663856 × 2.5 = $379.16

The cost of 4 gallons of gas is 4 × 3.051 = $12.204

.Subtracting the gas cost from the amount paid, we get the profit,

Mank's profit = Total amount paid - Cost of gas= $379.16 - $12.204 = $366.956 or $366.96 (rounded to two decimal places)

Therefore, the profit made by Mank is $366.96.

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Answer:

2=x

Step-by-step explanation:

-20=-4x-6x  combine -4x+(-6x)

-20=-10x   divide by -10

2=x

Answer:

answer is 2

Step-by-step explanation:

-20=-4x-6x  combine like terms

-20=-10x   divide

2=x

The temperature decreased so you would subtract the amount from the original temperature.

The answer would be:

-15 - 10 = -25

A sufficient but not necessary condition for an undirected graph not to have an Eulerian cycle is if the graph contains more than two vertices with an odd degree.

An Eulerian cycle is a path in a graph that visits each edge exactly once and returns to the starting vertex. For a graph to have an Eulerian cycle, it must satisfy two conditions: (1) all vertices must have even degrees, and (2) the graph must be connected.

However, the condition of having more than two vertices with an odd degree is sufficient to guarantee that a graph does not have an Eulerian cycle. This is because in an undirected graph, every edge contributes an even degree to exactly two vertices. If a graph has more than two vertices with an odd degree, it means there are at least three vertices with an odd degree, and therefore it is not possible to construct a closed path that traverses each edge exactly once.

It is worth noting that having more than two vertices with an odd degree is not a necessary condition for a graph to lack an Eulerian cycle. There are cases where a graph with only two vertices of odd degree can still have an Eulerian cycle, as long as the graph remains connected.

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The discount is 26%.

The discount equals the difference between the price paid for and it's par value. Discount is a kind of reduction or deduction in the cost price of a product.

Given:

\(\bold{Marked} \ \text{price} = \$25\)

\(\bold{Selling} \ \text{price} = \$18.50\)

So,

\(\text{Discount = MP - SP}\)

\(\text{Discount} = 25-18.50\)

\(\bold{Discount} = 6.50\)

Now,

\(\text{D}\% = \dfrac{\text{D}}{\text{MP}} \times100\)

\(\text{D}\% = \dfrac{6.5}{25} \times100\)

\(\text{D}\% = 26\%\)

Hence, the discount percent is 26%.

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Answer:

First Newton's Law of motion

Step-by-step explanation:

a body will remain in it's constant motion or at rest unless acted upon by an external force.

The 95% confidence interval for a person's weight gain, measured in pounds, is approximately -6.22 to 25.60 pounds.

To determine the 95% confidence interval for weight gain, we can use the given equation: Whighi = (-94.4395) + (3.7430 × 140.ghtR). Here, Whighi represents weight gain in pounds and 140.ghtR represents the weight measured in lehes.

First, let's calculate the standard error (SE) using the formula: SE = √[(2.0425)² × (0.2945)²]. Plugging in the values, we get SE ≈ 0.609.

Next, we can calculate the margin of error (ME) by multiplying the SE with the critical value corresponding to a 95% confidence level. As the equation provided does not explicitly state the critical value, we'll assume it to be 1.96, which is commonly used for a 95% confidence level. Therefore, ME ≈ 1.96 × 0.609 ≈ 1.196.

Now, we can construct the confidence interval by adding and subtracting the ME from the mean weight gain. The mean weight gain can be found by substituting the given weight measurement of 140.ghtR into the equation Whighi = (-94.4395) + (3.7430 × 140.ghtR). Calculating the mean weight gain, we get ≈ 25.60 pounds.

Thus, the 95% confidence interval for a person's weight gain is approximately -6.22 to 25.60 pounds. This means we are 95% confident that the true weight gain for a person lies within this interval.

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If 70.7 tons is within the acceptable range for the car's capacity, then the randomly selected car's weight would not necessarily indicate an issue with the loading mechanism.

It is difficult to determine if the loading mechanism is overfilling the cars based solely on one randomly selected car with a weight of 70.7 tons. Without more data and a comparison to the expected weight capacity of the cars, it is not possible to make an accurate assessment of the loading mechanism's performance.

It is important to gather additional data and analyze trends over time to determine if there is an issue with overloading. If 70.7 tons is within the acceptable range for the car's capacity, then the randomly selected car's weight would not necessarily indicate an issue with the loading mechanism.

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Answer:

$240

Step-by-step explanation:

Simple interest on a loan is the interest that would be paid on a loan

Simple interest = principal x interest rate x time

$3000 x 0.08 x 1 = $240

If the rectangle JKLM is similar to rectangle WXYZ , then the scale factor is 1.5  .

In the question ,

two rectangle figures are given ,

the rectangles JKLM and WXYZ are similar ,

So , to find the scale we consider the ratio of the sides of the rectangle .

the ratio of the sides is ⇒ ZW/JM = WX/JK

Substituting the values of ZW = 13.5 , JM = 9 , WX = 18 and JK = 12 ,

we get ,

13.5/9 = 18/12

⇒ 1.5 = 1.5

So , the rectangles are similar and the scale factor is = 1.5 .

Therefore , the scale factor is 1.5 .

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The original price of the laptop was $862.00

How to calculate the original price

The original price of the laptop, denoted by x, can be found by setting up an equation that relates it to the final price after markup.

We know that the final price of the laptop is $1,137.84, and that this price is 32% higher than the original price.

So, one way to set up an equation to solve for x is to use the formula:

final price = original price + markup

where the markup is defined as a percentage of the original price.

In this case, we can write:

$1,137.84 = x + 0.32x

Simplifying this equation, we get:

$1,137.84 = 1.32x

To solve for x, we can divide both sides by 1.32:

x = $1,137.84 ÷ 1.32

x = $862.00

So the original price of the laptop was $862.00.

Using this approach, we can see that option C (1.32p = 1,137.84) is the correct equation for finding the original price of the laptop.

Option A (p(1 − 0.32) = 1,137.84) is incorrect because it represents the final price, not the original price.

Option B (p + 0.32p = 1,137.84) is also incorrect because it represents the sum of the original price and the markup, which is not what we need to find.

Option D (0.68p = 1,137.84) is incorrect because it represents a calculation that is not relevant to finding the original price.

Option E (p(1 + 0.32) = 1,137.84) is incorrect because it represents a calculation that adds the markup to the original price, which is not what we need to find.

Option F (p − 0.32p = 1,137.84) is also incorrect because it represents the difference between the original price and the markup, which is not what we need to find.

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By using the function rule, the missing values in table should be completed as follows;

x       -4       -2      0      1       2

y       -17      13     9       5       1

In order to use the given linear function to complete the table, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;

When the value of x = -2, the y-value of this linear function is given by;

y = -2x + 9

y = -2(-2) + 9

y = 4 + 9

y = 13.

When the value of x = 0, the y-value of this linear function is given by;

y = -2x + 9

y = -2(0) + 9

y = 0 + 9

y = 9.

When the value of x = 2, the y-value of this linear function is given by;

y = -2x + 9

y = -2(2) + 9

y = -4 + 9

y = 5.

When the value of x = 4, the y-value of this linear function is given by;

y = -2x + 9

y = -2(4) + 9

y = -8 + 9

y = 1.

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Answer:

256 ft

Step-by-step explanation:

Assuming f(t)=(1/4)√h, we can solve for h by setting 4=(1/4)√h.

4=(1/4)√h

16=√h

h= 16^2 =256 ft

Step-by-step explanation:

h = (4 ÷ ¼)²

h = (4 × 4)²

h = 16² = 256ft

I don't know I don't know

Answer:

gg

Step-by-step explanation:

ggggftttgxxyuuhhhgg

Answer:

(8, 1)

Step-by-step explanation:

Lets say you had 2 points, (x₁, y₁) and (x₂, y₂). The midpoint of these two lines would be:

\((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)

Lets use (6, -2) for (x₁, y₁) and (10, 4) for (x₂, y₂):

\((\frac{6+10}{2},\frac{(-2)+4}{2})=(\frac{16}{2},\frac{2}{2})=(8,1)\)

So the midpoint of AB would be (8, 1).

I hope you find my answer helpful.