Factor the GCF: −12x3y5 − 9x2y2 + 12xy3 (10 points)

−3(4x3y5 + 3x2y2 − 4xy3)
−3xy2(4x2y3 + 3x − 4y)
−3xy2(4x2y3 − 3x + 4y)
3xy2(−4x2y3 − 3x + 4y)

Answer:

169.0909...°

Step-by-step explanation:

[(n - 2)180]/n =

= [(33 - 2)180]/33

= 169.0909...°

Answer:

10.90909091

Step-by-step explanation:

you divide 360 by the amount of vertices

Answer:

the best function is D. G(x)= -2/3x+4

The linear function represented by the graph is (d) G(x)= -2/3x+4

From the graph, we have the following highlights

A linear equation is represented as:

y = mx + b

Where m represents the slope and b represents the y-intercept

Using the above highlights, we have:

y= -mx + 4

The option that has the above format is (d)

Hence, the equation represented by the graph is (d) G(x)= -2/3x+4

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Answer: 0.5 gallon

Step-by-step explanation:

From the question, we are informed that Container a has a maximum capacity of 3 gallons. Container B has a maximum capcity of 14 quarts.

It should be noted that 4 quarts equals 1 gallon. Therefore, 14 quarts = 14/4 = 3.5 gallons

Container A = 3 gallons

Container B = 3.5 gallons

The difference will be:

= 3.5 gallons - 3 gallons

= 0.5 gallon

Answer:

someones teacher?

Step-by-step explanation:

Answer:

um the man is teaching a boring classssssssss

Step-by-step explanation:

Answer:

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

Given sequence:

Find the common ratio, the ratio of two consecutive terms:

or

Answer:

67

Step-by-step explanation:

If you are looking for x, or blank in this case, you add 67 to -67.

this equals 0.

-67+67=0.

Answer: The number is 5

Step-by-step explanation:

I assume you are asking for finding the number.

For this kind of question, just accord to the statements and write an equation.

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

Let x = the number

2(x+5)=20

  x+5=10

      x=5

Answer:

x = 5

Step-by-step explanation:

Let the unknown number be x

\(2(x + 5) = 20\)

Expand

\(2(x + 5) = 2x + 10 \\ 2x + 10 = 20\)

Collect like terms and simplify

\(2x = 20 - 10 \\ 2x = 10\)

Divide both sides of the equation by 2

\( \frac{2x}{ 2} = \frac{10}{2} \\ x = 5\)

Answer:

how many toys are in each group?

(a) Pseudocode for the algorithm that finds the first repeated integer in a given sequence of integers is as follows:

1. Initialize an empty set called "visited".

2. Traverse the given sequence of integers.

3. For each integer in the sequence, check if it is already in the "visited" set.

4. If the integer is in the "visited" set, return it as the first repeated integer.

5. Otherwise, add the integer to the "visited" set.

6. If there is no repeated integer, return "None".

(b) The worst-case time complexity of the algorithm is O(n), where n is the length of the sequence of integers.

Therefore, the time complexity of the algorithm increases linearly with the size of the input sequence.

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Answer:

$6,578

Step-by-step explanation:

((5500 * 0.028) * 7) + 5500, where parentheses is the interest rate

(5500 * 0.028) * 7

154 * 7

1078

1078 + 5500

6578

Brainliest? ;)

It helps me a lot!

Answer:

Vertex form: y = (x+4)^2 - 9

Minimum y-value of function: [-9, ∞)

Step-by-step explanation:

Vertex form: y = a(x-h)^2 + k

To convert standard form into vertex form, you will need to complete the square. To find the minimum y-value, you will need to find the vertex and see the y-value (as it is a parabola and nothing goes above/below it).

Step 1: Move 7 over to the other side (or subtract 7)

y - 7 = x^2 + 8x

Step 2: Complete the Square

y - 7 + 16 = x^2 + 8x + 16

Step 3: Factor and combine like terms

y + 9 = (x + 4)^2

Step 4: Move 9 back to the right (or subtract 9)

y = (x + 4)^2 - 9

Final Answer: y = (x + 4)^2 - 9

Your vertex is located at (h, k), so at (-4, 9). Since the highest degree coefficient is positive, the parabola is facing up. Nothing will go below the y-value of 9.

Answer:

a.

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

So, I would've done it 4 x 4 x 6 or 6(4²) but whatever, you get the same answer

\(-\sqrt{-64}=-\sqrt{8^2\cdot (-1)}-8\sqrt{-1}=-8i\)

Answer:

Step-by-step explanation:

Simply Subtract 19.3 from 24.7

24.7-19.3 =5.4

Then, add remainder to 1,000

1,000+5.4 = 1,005.4

If the value of the sample standard deviation increases, the confidence interval becomes wider and is denoted as option A.

This term is used in statistics and refers to the probability that a population parameter will fall between two set values.

it has a direct relationship with standard deviation in which its increase will also lead to the set of values being wider thereby making it the most appropriate choice.

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The options are :

a. It becomes wider

b. It becomes more precise

c. It does not change

d. It narrows

Answer:

i think that the correct answer would be A or C

Step-by-step explanation:

hope this helps

sorry if the answers that i gave you is incorrect

Answer:

2nd option

Step-by-step explanation:

the nth term of a geometric sequence is

\(a_{n}\) = a₁ \((r)^{n-1}\)

where a₁ is the first term and r the common ratio

here a₁ = 64 and r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{32}{64}\) = \(\frac{1}{2}\) , then

\(a_{n}\) = 64 \((\frac{1}{2}) ^{n-1}\)

To ensure the best test results, Anita should be provided with the following information before her spirometry:

1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.

2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.

3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.

4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.

The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.

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To create a nested formula using the AVERAGE and ROUND functions to find the average number of a range and round the answer to 0 digits, you can follow these steps:

1. Start by typing the following formula in the desired cell:

  =ROUND(AVERAGE(range),0)

2. Replace "range" with the actual range of numbers for which you want to calculate the average. For example, if you want to find the average of numbers in cells A1 to A10, the formula would be:

  =ROUND(AVERAGE(A1:A10),0)

3. The AVERAGE function calculates the average of the numbers in the specified range.

4. The ROUND function is nested within the AVERAGE function and rounds the result to the specified number of digits. In this case, we use 0 as the second argument of the ROUND function to round to 0 digits, effectively rounding to the nearest whole number.

5. Press Enter to calculate the result. The nested formula will return the average of the range, rounded to 0 digits.

Note: You can adjust the range and the number of digits to round according to your specific needs.

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Given:Diagnostic tests of medical conditions have several results. The test result can be positive or negative. A positive test (+) indicates the patient has the condition.

A negative test (-) indicates the patient does not have the condition. Results of a new diagnostic test for the condition are shown. Condition Present: 112Condition Absent: 20Row Total: 132 Test Result -: 20 Test Result -: 57 Column Total: 132Assuming that the sample is representative of the entire population, we are to find the probability of the condition absent given the test result is -To calculate the probability of the condition absent, we use the Bayes Theorem. According to Bayes' Theorem,

P(A|B) = P(B|A) * P(A) / P(B)

Where, P(A|B) is the probability of the condition absent given the test result -P(B|A) is the probability of getting a test result - given the condition absentP(A) is the probability of the condition absent P(B) is the probability of getting a test result

P(condition absent) = (Number of condition absent)

(Total number of patients) = 20 / 209

P(test result - | condition absent) = 57 / 77

Now,

P(test result -) = (Number of test result -) / (Total number of patients) = 77 / 209

We can now substitute the values into the Bayes Theorem as follows:P(A|B) = P(B|A) * P(A) / P(B)P(condition absent | getting test result -) = (57 / 77) * (20 / 209) / (77 / 209) = (57 * 20) / (77 * 209 / 209) = 1140 / 16093P(condition absent | getting test result -) = 0.07 (rounded to the nearest hundredth)Therefore, the probability of a person having the condition absent given the test result is - is 0.07.

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Two different mathematical models that can be derived from the Fibonacci's rabbits problem are the recursive model and the matrix model.

The recursive model assumes that the rabbits reproduce at a constant rate and that each pair of rabbits needs a month to mature before they can reproduce. The model can be represented by the recursive formula Fn = Fn-1 + Fn-2, where Fn represents the number of rabbits at month n and Fn-1 and Fn-2 represent the number of rabbits at months n-1 and n-2, respectively. This model is based on the assumption that rabbits can breed indefinitely without any constraints, and it only considers the number of rabbits at each month.

The matrix model, on the other hand, assumes that the rabbits reproduce at a constant rate, but it takes into account the constraint of limited resources, such as food and space. This model is represented by a matrix equation of the form [Fn Fn-1] = [Fn-1 Fn-2][1 1; 1 0], where [Fn Fn-1] represents a vector of the number of rabbits at months n and n-1, and [Fn-1 Fn-2] represents the matrix of the number of rabbits at months n-1 and n-2, respectively. This model is based on the assumption that the growth of the rabbit population is limited by the available resources, and it considers the number of rabbits and the resources at each month.

Both models were derived from the same verbal problem of Fibonacci's rabbits, but they made different assumptions about the growth and constraints of the rabbit population. The recursive model assumes that rabbits can breed indefinitely without any constraints, while the matrix model takes into account the constraints of limited resources. These different assumptions resulted in two different mathematical formulations that provide different insights into the growth and constraints of the rabbit population.

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Whether a breakwater is a tombolo or a salient, there are several measurements that need to be considered. The key factors include the length of the breakwater, water depth, wave characteristics, sediment transport, and coastal geomorphology.

1. Breakwater length: Measure the overall length of the breakwater structure.

2. Water depth: Determine the depth of the water surrounding the breakwater.

3. Wave characteristics: Assess the wave height, period, and direction in the vicinity of the breakwater.

4. Sediment transport: Examine the movement of sediments along the coast and near the breakwater.

5. Coastal geomorphology: Study the shape and characteristics of the coastline, including the presence of offshore shoals or sandbars.

Based on these measurements, you can make the following observations:

A breakwater is a tombolo or a salient involves analyzing the breakwater length, water depth, wave characteristics, sediment transport, and coastal geomorphology. These measurements provide insights into the formation and characteristics of the breakwater structure and its relationship with the surrounding coastal environment.

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Answer:

\( \longrightarrow\tt2 - ( - \frac{1}{8}) + ( \frac{ - 7}{ - 4} )\)

\( \longrightarrow \tt2 + \frac{1}{8} + \frac{7}{4} \)

\( \longrightarrow \boxed{\tt \frac{31}{8} }\)

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Answer:

Let x = the cost of a movieLet y = the cost of a gameUsing these variables,

we can set up equations.3x + 5y = 42 eq19x + 7y = 72 eq2

We have here a system of equations, where we have two or more equations with two or more different variables.

We use the elimination method to solve for the variables.

Multiply eq1 by 3. Keep eq2.

9x + 15y = 126 eq1

9x + 7y = 72 eq2

Subtract eq2 from eq1 to eliminate the x terms.

8y = 54y  

= 6.75

This rental cost of one video game is $6.75

Substitute the value of y into eq1 to solve for x.

This will give you the rental cost of one movie.

Step-by-step explanation:

\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{doubled}{2V} \end{cases}\implies 2V=\cfrac{\pi r^2 h}{3}\implies V=\cfrac{\pi r^2 h}{3\cdot 2} \\\\\\ V=\cfrac{\pi r^2}{3}\cdot \cfrac{h}{2}\implies V=\cfrac{\pi r^2\left( \frac{h}{2} \right)}{3}\qquad \textit{half the previous "h"}\)

Answer: 2h

Step-by-step explanation:

The amount of square meters of coverage that the baby monitor would provide after picking up signals would be = 7,850m²

The radius of the signals picked up by the baby monitor= 50m

The area of the signal can be calculated through finding the area of the circle with the formula such as = πr²

Where the radius = 50m

π = 3.14

Therefore the area = 3.14 × 50 × 50

= 7,850m²

Therefore, in conclusion, 7,850m² of coverage is the amount that the baby signal can monitor.

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Among the given sets, the sets (a) A={n∈Z:∣n∣<2} and (d) D={−1,0,1} are equal, as they both consist of the integers -1, 0, and 1. The other sets (b) B={n∈Z:n^2<4}, (c) C={n∈Z:n^3−n=0}, and (e) E={n∈Z:n^2≤n} are not equal to A or D.

(a) The set A={n∈Z:∣n∣<2} includes all the integers whose absolute value is less than 2. This set consists of -1, 0, and 1, which are the same elements as in set D={−1,0,1}. Therefore, A and D are equal.

(b) The set B={n∈Z:n^2<4} includes all the integers whose square is less than 4. This set consists of -1, 0, 1, and 2. It has additional elements compared to sets A and D, so it is not equal to either A or D.

(c) The set C={n∈Z:n^3−n=0} includes all the integers that satisfy the equation n^3−n=0. The solutions to this equation are -1, 0, and 1, which are the same elements as in set D. However, it does not include the element 2 from set D, so C is not equal to D.

(e) The set E={n∈Z:n^2≤n} includes all the integers that satisfy the inequality n^2≤n. This set consists of 0 and the negative integers, whereas sets A and D do not include any negative integers. Therefore, E is not equal to either A or D. In conclusion, the sets A and D are equal, while the sets B, C, and E are not equal to A or D.

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Solving the system of equations shows that to make these equations true x=1 and y=0.5

The calculated area is 17.1690 cm2 in significant figure it is 17.2 cm.

Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

This calculation for the area is length times length plus three points

3.54 times 4.85 centimeters

Significant figures of a number in positional notation are digits in the number that are reliable and necessary to indicate the quantity of something

We are going to use the fewest significant figures possible, therefore there is no big role in this.

These are both three significant figures, then.

Therefore, 17.2 square centimeters would be our right answer, which would be three significant figures.

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