What is this question asking for?

Answer:

4\(a^{2}\)\(b^{2}\)

Step-by-step

\((2ab)^{2}\) = 4\(a^{2} b^{2}\)

\((4ab)^{2}\) = 16\(a^{2}b^{2}\)

What is the largest factors that they each share?  

4\(a^{2} b^{2}\)

I am not sure from your question if the whole term is squared or just the b.

If only the b is squared, then the answer changes to 2a\(b^{2}\)

From the given information:

(a) sin(t) < 0 and cos(t) < 0

This condition implies that the sine of t is negative (sin(t) < 0) and the cosine of t is also negative (cos(t) < 0). In the coordinate plane, this corresponds to the third quadrant (III), where both x and y coordinates are negative.

Therefore, the answer is:

(a) III (third quadrant)

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Answer

:Identity Property of Addition

Step-by-step explanation:

Answer:

101-9 then you divide it by 4 and im pretty sure you can get the equation from there

Step-by-step explanation:

A distribution is a way of displaying data, consisting of three primary components: shape, center, and spread. The shape is the overall pattern of the distribution, while the center is the point where the distribution is balanced. The spread is the range of values of the data, often measured by the standard deviation or the interquartile range (IQR). The distribution can be visualized through graphs like histograms, box plots, or scatter plots.

A brief description of a distribution should include its shape, center, and spread. The spread is the term that should be included in the blank space.A distribution can be described as a way of displaying data. It gives us an idea about how the data are spread out.

The three primary components of any distribution are the shape, center, and spread. Shape refers to the overall pattern of the distribution. It tells us whether the data are symmetric or skewed. The symmetry means that the left half of the distribution is a mirror image of the right half, whereas a skewed distribution is not symmetrical. The tail of a distribution describes the spread of a skewed distribution. It refers to the parts of the distribution that extend out from the center of the graph.The center refers to the point where the distribution is balanced. In symmetric distributions, the center is the same as the mean and median. However, in a skewed distribution, the mean and median differ from each other.

The spread refers to the range of values of the data. It tells us how much the data are scattered or spread out. A small spread indicates that the data points are close to each other, while a large spread suggests that the data points are far from each other. It is often measured by the standard deviation or the interquartile range (IQR).The distribution of data can be visualized through different graphs like histograms, box plots, or scatter plots.

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The mathematical procedure for decomposing a complex waveform into simpler waveforms is known as Fourier analysis. It allows for the identification of the individual frequency components that contribute to the overall pattern.

Fourier analysis, named after the French mathematician Jean-Baptiste Joseph Fourier, is a fundamental technique used in many fields, including signal processing, physics, and engineering. It is based on the concept that any complex waveform can be represented as a combination of simpler sinusoidal waveforms. These simpler waveforms are characterized by their frequency, amplitude, and phase.

The procedure involves decomposing a complex waveform into its constituent frequencies by applying the Fourier transform. The Fourier transform converts the waveform from the time domain to the frequency domain, revealing the underlying frequency components. By analyzing the resulting spectrum, which shows the amplitude and phase of each frequency component, one can determine the simpler waveforms that make up the original complex pattern.

Fourier analysis has numerous applications, such as analyzing sound waves, image processing, and data compression. It enables us to better understand and manipulate complex signals by breaking them down into their fundamental building blocks.

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Answer:

The top one on the left

Step-by-step explanation:

The time required for the population to triple is nearly 8 years if the population of a community is known to increase at a rate proportional to the number of people present at time t and an initial population p0 has doubled in 5 years.

Given that the population is increasing at a rate proportional to the number of people present at time t.

the population growth is modeled by the following differential equation:

\(\frac{dP(t)}{dt} = kP(t)\)

P(t) = Po\(e^{kt}\)           ..(1)

Initially given that population doubled in five years

i.e. P(5) = 2Po

Putting it in equation(1)

2Po = Po\(e^{5k}\)

taking logs is both sides

ln 2 = 5k

k = ln2/5 = 0.1386

therefore, P(t) = Po\(e^{0.1386t}\)

Now, the time required for the population to triple or P(t) 3Po

3Po = Po\(e^{0.1386t}\)

ln3 = 0.1386t

or t = 7.9265 = 7.9

Therefore, the time required for the population to triple is nearly 8 years.

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Answer:

The common difference is the difference between any two consecutive terms in an arithmetic sequence. 2, 8, 14, 20, 26 … = 2, (2 + 6), (8 + 6), (14 + 6), (20+ 6) … Therefore, the common difference is 6.

Step-by-step explanation:

brainliest?

The probability of randomly drawing 1 card that is both a red card and a face card is approximately 0.1154, or about 11.54%.

In a standard deck of 52 playing cards, there are 26 red cards (13 hearts and 13 diamonds) and 12 face cards (4 jacks, 4 queens, and 4 kings). To find the probability of randomly drawing 1 card that is both a red card and a face card, we need to determine the number of cards that satisfy both conditions and divide it by the total number of cards.

There are 6 cards that are both red and face cards: the red jacks, red queens, and red kings.

Therefore, the probability is:

P(Red and Face card) = Number of favorable outcomes / Total number of outcomes

P(Red and Face card) = 6 / 52

P(Red and Face card) ≈ 0.1154

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Answer:

The difference of the two roots of the quadratic is 5

Step-by-step explanation:

Let the two roots be a and b

Sum of the roots is 21

a + b = 21 ••••••••(i)

Product of the roots is 104

ab = 104 •••••••(ii)

we want to find a - b

a = 104/b

Put this into 1

104/b + b = 21

Multiply through by b

104 + b^2 = 21b

Thus;

b^2 - 21b + 104 = 0

b^2 -13b - 8b + 104 = 0

b(b-13) -8(b -13) = 0

(b-8)(b-13) = 0

b = 8 or 13

From above;

b = 104/a

So a is 104/13 or 104/8 = 13 or 8

So the difference between the roots will just be 13-8 = 5

Answer

NO

step by step explanation:

The definition of outlier is observational data that appears with extreme values, either univariate or multivariate. What is meant by extreme values in observations are values that are far or completely different from most of the other values in the group

I hope this helps

36 different sandwiches

can be made.

To calculate the number of different sandwiches that can be made using 1 type of bread, 1 type of meat, and 1 type of cheese, we need to multiply the number of options for each ingredient together.

In this case, there are 3 options for bread, 4 for deli meat, and 3 for cheese. To find the total number of different sandwiches, we multiply these numbers:

3 (options for bread) x 4 (options for meat) x 3 (options for cheese) = 36

Therefore,

36 different sandwiches can be made

using 1 type of bread, 1 type of meat, and 1 type of cheese.

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a.) The number of pounds of empty cans needed by the class is 200 pounds.

b.) The number of empty cans needed by the class to collect are 5486 cans.

The books will cost a total amount of $ 50.

If $ 0.25 per pound is the current price for aluminium at the recycling centre, the number of pounds the class will have to collect is found by dividing the total amount needed by cost per pound is,

⇒ 50/0.25 = 200

b.) Six empty cans weigh 3.5 ounces.

1 pound = 16 ounces

200 pounds = 200 × 16 = 3200 number of ounces

3200/3.5 = 914.29

914.29 × 6 = 5485.7 cans ≈ 5486 cans

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Answer:

\( \sf \: a) \: 27 = 9p \: ; p = 3\)

Step-by-step explanation:

Given information,

→ Simon have 27 pieces of candy.

→ Each person will get 9 pieces.

Now we have to,

→ Find the required equation.

The equation will be,

→ 27 = 9p

→ 9p = 27

=> As each person (p) gets 9 pieces.

Then the value of p will be,

→ 9p = 27

→ p = 27 ÷ 9

→ [ p = 3 ]

Hence, option (a) is correct.

Answer:

14 feet or 182 feet

Step-by-step explanation:

Let the height of the pole be x

Distance from the bottom of the pole to the anchor point = (x - 62)

Length of the wire = (36 + x)

From Pythagoras theorem;

(36 + x)2 =  + (x - 62) 2

1296 + 72x +  x2 = x2 + x2 - 124x + 3844

collecting like terms;

72x + 124x  + x2 - 2x2 + 1296 - 3844 = 0

196x - x2 - 2548  = 0

Rearranging the quadratic equation;

x2 - 196x + 2548 =0

(x−14)(x−182)=0

x = 14 feet or 182 feet

Hence, the height of the pole is 14 feet or 182 feet

Answer:

See explanation

Step-by-step explanation:

f(x)=x² + x + 2 and g(x) = 2x² - 7

f(2) g(2)=

((2)² + (2) + 2)(2(2)² - 7)=

(4 + 2+ 2)(2(4) - 7)=

(8)(8 - 7)=

8*1=8

2 fg(2)=

2 f(g(2))=

2 f(2(2)² - 7)=

2 f(2(4)-7)=

2 f(8-7)=

2 f(1)=

2(1² + 1 + 2)=

2(1+3)=

2(4)=8

8=8

2 fg(2)=f(2) g(2) √

The value of the baseball card after 10 years will be approximately 67.13 if it increases in value at a rate of 3% per year.

Let the value of the baseball card in 2020 be V.

If the card increases in value at a rate of 3% per year, then the value of the card after n years will be given by the formula:

                   V = 50(1 + 0.03)n

To find the value of the card after 10 years, we substitute n = 10 into the formula and evaluate:

                   V = 50(1 + 0.03)10V

                      ≈ 67.13

This represents a gain of 17.13 over the original purchase price of 5.

Thus, the value of the baseball card after 10 years will be approximately 67.13 if it increases in value at a rate of 3% per year.

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The inequality which correctly represents the fact that the spending limit cannot be exceeded as described in the task content is; 100x ≤ 200.

It follows from the task content that the inequality which correctly represents the spending limit as described be determined.

Since the given spending limit is; $200.

Let, x = the number of figures made.

Therefore, the cost of making x number of figures can be written algebraically as; 100x.

Hence, since it costs $100 to make each figure, it follows that the required inequality is;

100x ≤ 200.

This follows from the fact that each figure costs $100 to make.

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Answer:

The length of SP is 2

The length of PW is 4

Step-by-step explanation:

Firstly, we need an image that represents the information given

Mathematically, we have that the centroid is at a position of 2/3 along the median

This means that the centroid will divide the median into two lengths with the length of one double the length of the other

Mathematically;

SW = SP + PW

where PW is the longer length

The length of PW will be;

2/3 * 6 = 4

The length of SP will be 6-4 = 2

Given that;

Liana takes 2 pages of notes during each hour of class. ​

To write a proportional relationship, let x represent the time in class and y represent the number of pages.

according to the question, the constant of proportionality is equal to 2. ( 2 pages per hour).

So, the equation becomes;

Therefore, an equation to represent the proportional relationship is;

We can represent the equation on the graph as;

We can also represent it on the table as;

Where x is in hours and y is in pages.

Answer:

-4 and 10

Step-by-step explanation:

let me know if this is incorrect

There is zero or no degree of freedom in  the mean of the differences in a paired t-test.

For the paired t-test, we need two variables. One variable defines the pairs for the observations. The second variable is a measurement. Sometimes, we already have the paired differences for the measurement variable. Other times, we have separate variables for “before” and “after” measurements  for each pair and need to calculate the differences.

We also have an idea, or hypothesis, that the differences between pairs is zero. It is also known as the dependent samples t-test, the paired-difference t-test, the matched pairs t-test and the repeated-samples t-test.

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Answer:

1/2

Step-by-step explanation:

Let the coordinate points be (6,3) and (4,2)

Slope = y2-y1/x2-x1

x1 = 6, y1 = 3, x2 = 4 and y2 =2

Substitute

slope = 2-3/4-6

Slope = -1/-2

Slope = 1/2

Hence the slope of the coordinate is 1/2

Note that the other Coordinate was assumed

The length of the side of the smaller square is 7 inches.

Let x be the length of the side of the smaller square.

The length of each side of a square is 3 inches more than the length of each side of a smaller square. Thus the length of the side of the larger square is

(x + 3) inches.

The area of the smaller square is

x^2 square inches.

The area of the larger square is

(x + 3)^2 square inches.

We can set up the equation:

x^2 + (x + 3)^2 = 149

Expanding and simplifying the equation gives:

x^2 + x^2 + 6x + 9 = 149

Combining like terms:

2x^2 + 6x - 140 = 0

Using the quadratic formula, we can solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a

x = (-6 ± √(6^2 - 4 * 2 * (-140))) / 2 * 2

x = (-6 ± √(36 + 1120)) / 4

x = (-6 ± √(1156)) / 4

x = (-6 ± √(596)) / 4

x = (-6 ± 34) / 4

x = -10 or x = 7

The side length of the smaller square can't be negative, so x = 7 inches.

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Answer:

7/10

Step-by-step explanation:

Answer:

okay so i think its 7/10

but im not sure

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

(10+9) = 19

19×8 =152

when you divide 152by8 you still get 19 which is the sum of 10+9

To find the probability of a person with "some college or an associate's degree" and in the labor force being employed, we need the following information: the number of people with that education level who are employed and the total number of people with that education level in the labor force.

Let's assume we have the following data (these are just example numbers, you can replace them with actual data if you have it):

1. Number of people with "some college or an associate's degree" who are employed: 400
2. Total number of people with "some college or an associate's degree" in the labor force: 500

Step 1: Divide the number of employed people (400) by the total number of people in the labor force (500).
Probability = (Number of employed people with some college or an associate's degree) / (Total number of people with some college or an associate's degree in the labor force)

Step 2: Calculate the probability
Probability = 400 / 500 = 0.8

Based on the given data, the probability that a person who has completed some college or an associate's degree and is in the labor force is employed is 0.8 or 80%. This means that 80% of individuals with that education level in the labor force are employed.

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