– 1,4, – 9, 16, – 25, ..?​

It is true that if a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function.

Without further explanation, matrices represent linear maps and enable explicit computations in linear algebra. In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns to represent a mathematical object or a property of such an object. As a result, a significant portion of linear algebra involves the study of matrices, and the majority of the characteristics and operations of abstract linear algebra may be described in terms of matrices. The composition of linear maps, for instance, is represented by matrix multiplication.

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Answer:I=(PxRxT)/100

I=(10000x20x1)/100x2

I=200000/200

I=1000I=(

Step-by-step explanation:

Answer: C. 13/3

Step-by-step explanation:

\(slope=\frac{rise}{run} =\frac{y}{x} =\frac{13}{3}\)

Answer:

3 miles

Step-by-step explanation:

1/8*24=3

Answer:

Step-by-step explanation:

He ran 24 times around the track1

Circumfrence of track=1/8 Mile

Total distance he covered=1/8*24

Distance = 3 miles

Answer:

1. 18

2. 370

3. 65

Step-by-step explanation:

1. 180/10=18

2. 370 add a zero

3. tens means ·10 so 650/10=65

Answer:

1.)18

2.)370

3.)65 tens yw(:

The graph of a function f exists the set of all points in the plane of the form (x, f(x)).

The graph of a function f exists the set of all points in the plane of the form (x, f(x)). We could even describe the graph of f to be the graph of the equation y = f(x). So, the graph of a function exists as a special case of the graph of an equation.

Given: \(h(t)=0.6\cdot 3.2^t\)

Substitute the values in the function, we get

t = -2, h(t) = 0.05859375

t = -1, h(t) = 0.1875

t = 0, h(t) = 0.6

t = 1, h(t) = 1.92

t = 2, h(t) = 6.144

t = 3, h(t) = 19.6608

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In this problem, a researcher wants to estimate the number of households with two cars with 95% confidence and a margin of error of 5%. The researcher also knows that a previous study showed that 22% of households had two cars. The possible answers are 4, 339, and 186.

To answer this question, we need to use the formula for sample size calculation: n = (Z^2 * p * q) / E^2, where n is the sample size, Z is the Z-score for the desired level of confidence (in this case, 1.96 for 95% confidence), p is the estimated proportion of the population with the characteristic of interest (in this case, 0.22), q is the complement of p (q = 1 - p), and E is the desired margin of error (in this case, 0.05). Plugging in these values gives us n = (1.96^2 * 0.22 * 0.78) / 0.05^2, which simplifies to n = 186.

Therefore, the correct answer is (c) 186. This means that the researcher needs to survey 186 households to estimate the number of households with two cars with 95% confidence and a margin of error of 5%.

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True, Harvesting at the mathematical maximum sustainable yield (MSY) can be risky for the long-term sustainability of a fishery.

The concept of MSY is based on the idea of maximizing the catch of fish without depleting the population. However, it assumes that fish populations can be managed as single-species entities and that they can be harvested at a constant rate.

In reality, ecosystems are complex and interconnected, and fish populations interact with other species and the environment in various ways. Harvesting at the MSY level may not consider the broader ecological impacts and can lead to unintended consequences.

While maximizing the catch in the short term may seem beneficial, it can result in overfishing and the depletion of fish stocks over time.

This can disrupt the balance of the ecosystem, impact other species that rely on the fish population, and threaten the long-term sustainability of the fishery.

It is important to consider factors such as the reproductive capacity of fish, their life history traits, and the overall health of the ecosystem when setting sustainable fishing limits.

Sustainable fisheries management practices often involve adopting precautionary approaches that prioritize the conservation and responsible use of fishery resources to ensure their long-term viability.

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The sum of squares(SS) measures the amount of variation between each data value and the grand mean.

The sum of squares(SS) is a statistical measure that quantifies the amount of variation or dispersion in a dataset. It specifically calculates the sum of the squared differences between each data value and the grand mean.

To calculate the sum of squares, the following steps are typically followed:

1,Find the grand mean by summing all the data values and dividing by the total number of values.

2.For each data value, calculate the difference between the value and the grand mean.

3. Square each of these differences.

4.Sum up all the squared differences.

The resulting sum of squares represents the total amount of variation in the dataset, reflecting how much each individual data value deviates from the grand mean.

The sum of squares is a useful measure for assessing the spread or dispersion of data, providing insights into the variability within the dataset.

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Answer:

A and D are correct!

Step-by-step explanation:

The origin is 0,0

The x axis is the one that R is on right now

The correct statements are,

A) The point is 3 units right to the origin.

D) The x coordinate is 3.

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The point R is shown in graph.

Nom,

Since, The point R is shown in graph.

Clearly, The coordinate of R = (3, 0)

So, We have;

⇒ The point R is 3 units right to the origin.

And, The x coordinate is 3.

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You see in the table given in the exercise, that a Regular size of peanut butter has 16 ounces and it costs $3.36.

In order to calculate the unit rate of this regular size, you must divide $3.36 by 16 ounces.

Let be "r" the unit rate for the Regular size. This is:

According to the table, the Family size has 40 ounces and it costs $7.60.

Let be "f" the the unit rate for the Family size.

Dividing $7.60 by 40 ounce, you get that the value of "f" is the following:

Based on the results obtained, you can determine that Family size is the better buy.

The answers are

Regular: $0.21 dollars per ounce.

Family size: $0.19 dollars per ounce.

Family size is the better buy.

Answer:

\(64^\circ\)

Step-by-step explanation:

Please refer to the attached figure for the labeling and construction in the given figure:

Given that minor angle of arc AB is \(116^\circ\).

Or in other words, we can say that angle subtended on the center O by the arc is \(116^\circ\).

Now, PA and PB are the tangents so, if we join the center of circle O with A and B, the angles formed are right angles.

i.e.

\(\angle PAO = 90^\circ\\\angle PBO = 90^\circ\)

Now, we know that sum of internal angles of a quadrilateral is equal to \(360^\circ\).

Here, we have the quadrilateral AOPB.

\(\therefore \angle PAO +\angle PBO+\angle AOB +\angle APB=360^\circ\\\Rightarrow 90+90+116+x=360^\circ\\\Rightarrow x = 360 - 180 - 116\\\Rightarrow x = 64^\circ\)

Hence, the correct answer is:

\(x = 64^\circ\)

According to the question we have the slant height of the second cone is approximately 15.5 - √(637/π).

To find the slant height of the cones, we need to use the formula for the surface area of a cone, which is:

SA = πr² + πrl

where SA is the surface area, r is the radius of the base, l is the slant height, and π is the constant pi.

For the first cone, we have:

52 = πr² + πrl

We can simplify this equation by factoring out πr:

52 = πr(r + l)

Dividing both sides by πr, we get:

52/πr = r + l

Substituting the given surface area, we have:

52/πr = r + l
52/π(√(52/π)) = √(52/π) + l
6.5 ≈ √(52/π) + l
l ≈ 6.5 - √(52/π)

So the slant height of the first cone is approximately 6.5 - √(52/π).

For the second cone, we have:

637 = πr² + πrl

Following the same steps as before, we get:

637/πr = r + l
637/π(√(637/π)) = √(637/π) + l
15.5 ≈ √(637/π) + l
l ≈ 15.5 - √(637/π)

Therefore, the slant height of the second cone is approximately 15.5 - √(637/π).

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The resulting expression from the factorization of 26r³s + 52r^(5) - 39r²s⁴ is; 13r²(2rs + 4r³ - 3s⁴)

We want to factor the algebraic expression;

26r³s + 52r^(5) - 39r²s⁴

Now, we need to first find the highest common factor here and factorize out.

First of all for the letters;

The highest common factor of the letters is r²

Factors of 26 = 1, 2, 13, 26

Factors of 39 = 1, 3, 13, 39

Factors of 52 = 1, 2, 4, 13, 26, 52

The highest common factor for the 3 numbers is 13.

Thus,in total, the highest common factor for the algebraic expression is 13r².

Finally, we have;

13r²(2rs + 4r³ - 3s⁴)

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Answer: A straight angle

Step-by-step explanation:

90 + 90 = 180

In the equation, the large book weight is 11kg and small book weight is

9 kg.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here let us take weight of large book as x and weight of small book as y.

Then,  3 large boxes and 4 small boxes has a total weight of 69 then,

=> 3x+4y = 69 --------> 1

And 5 large boxes and  2 small boxes has a total weight of 73kg then,

=> 5x+2y = 73 ----------> 2

Now multiply second equation by 2 then,

=> 10x+4y = 146 ----------> 3

Now 3 -1 then,

=>    10x+4y =   146

  (-)    3x+4y =    69

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

     7x          =     77

=>  x = 77/7 = 11kg.

put x=11 kg into 1 then,

=> 3(11)+4y=69

=> 4y = 69-33

=> 4y = 36

=> y = 36/4 = 9 kg.

Hence the large book weight is 11kg and small book weight is 9 kg.

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The equation of the function is y = 10 * sin(x/2pi) + 5.

What is the sinusoidal function?

The period of a sinusoidal function is the time it takes for the sinusoidal function to complete one cycle of revolution.

The graph of a sinusoidal function can be represented by the equation:

y = A * sin(B(x - C)) + D

where A is the amplitude, B is the frequency, C is the horizontal shift, and D is the vertical shift.

From the information given, we know that the maximum point is at (0,5) and the minimum point is at (2pi,-5). We can use this information to find the values of A, B, C, and D.

The amplitude is the distance between the maximum and minimum points. In this case, it is 5 - (-5) = 10. So A = 10.

The period of the function is the distance between two consecutive maximum or minimum points. In this case, it is 2π.

So the frequency is 1/2π.

The horizontal shift is the amount by which the function is shifted along the x-axis. In this case, the maximum point is at x = 0, so the function is not shifted horizontally. So C = 0.

The vertical shift is the amount by which the function is shifted along the y-axis. In this case, the maximum point is at y = 5, so the function is shifted upward by 5. So D = 5.

So the equation of the function is:

y = 10 * sin(1/2pi (x - 0)) + 5

y = 10 * sin(x/2pi) + 5

where x is entered in radians.

Hence, the equation of the function is y = 10 * sin(x/2pi) + 5.

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Answer:

Download graphing calc it helps a lot <4

Answer:

13-4y

Step-by-step explanation:

Without a second equation it is impossible to give a numerical value for x, but x can be expressed in terms of y.

This equation is called a "literal equation" since there are more than one variable, but only one equation (it is not a system of equations).

Therefore, solve for x by subtracting 4y from both sides:

x+4y=13

-4y      -4y

x=13-4y

Answer:

Hi! The correct answer is x=13-4y!

Step-by-step explanation:

~Subtract 4y from both sides of the equation~

Answer:

D.

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

According one-way ANOVA, the test is false.

We learn about one-way ANOVA

"One-Way ANOVA, also known as "analysis of variance," examines the refers to two or more independent groups to see if there is statistical support for the notion that the related population means are statistically substantially different."

According to the given information, it is inappropriate to compare two means at a time using multiple independent two sample​ t-tests. It will create multiple testing problem and error.

So using one way ANOVA test when comparing three or more populations refers to within a set of quantitative data that is categorized according to one​ factor/treatment and compare two means at a time using multiple independent two sample​ t-tests is false.

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Answer:

=$3.02

Step-by-step explanation:

$19.20 ÷ 6= $3.02

Hope I helped :))

Answer:

The unit rate is $3.20

Step-by-step explanation:

Unit rate is how much 1 unit of the material costs. So in our case the material is the ribbon. In order to find the unit rate we need to find how much does 1 foot of ribbon cost, we do that by dividing the total cost by the total number of feet, so we do...

19.20 / 6 = 3.20

Therefore the unit rate is $3.20

Answer:

16 i think, hope it helps

Answer:

16

Step-by-step explanation:

Well if there are 3 times more 8th graders than 7th graders then you have to do 48/3 to find how many 7th graders there are. There are 16 7th graders

Answer:

(−2)×5<(−20)

Step-by-step explanation:

Evaluating the options given :

(−2)×5<(−20)

Open the bracket

- 10 < - 20 (false) ` This expression isn't true

(−2)×(−5)>(−25)

Open the bracket

10 > - 25 (true)

2×5>(−25)

Open the bracket

10 > - 25 (true)

2×(−5)<20

Open the bracket

- 10 < 20

4) The equation of a line in the slope intercept form is expressed as

y = mx + b

where

m represents slope

b represents y intercept. This is also the point where the line cuts across the y axis.

The formula for determining slope is expressed as

m = (y2 - y1)/(x2 - x1)

y2 and y1 are final and initial values of y corresponding to given points on the line and on the vertical axis.

x2 and x1 are final and initial values of y corresponding to given points on the line and on the horizontal axis. From the graph,

when x1 = - 1, y1 = - 4

when x2 = 1, y2 = 2

m = (2 - - 4)/(1 - - 1) = 6/2

m = 3

Slope of the line = 3

y intercept, b = - 1

Thus, equation of the line is

y = 3x - 1

There are 362880 different ways the DJ can arrange the first nine songs on the playlist.

To find the number of ways the DJ can arrange the first nine songs on the playlist, we can use the permutation formula, which is:

Where n is the total number of items and r is the number of items being selected at a time. In this case, n is 9 (the number of songs) and r is also 9 (since we are arranging all of the songs). Plugging these values into the formula, we get:

So there are 362880 different ways the DJ can arrange the first nine songs on the playlist.

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Using an arithmetic sequence, it is found that the clock chimes 132 times in a 24-h period.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

\(a_n = a_1 + (n - 1)d\)

In which \(a_1\) is the first term.

The sum of the first n terms is given by:

\(S_n = \frac{n(a_1 + a_n)}{2}\)

In this problem, as the day is divided in two 12-hours period, the total will be twice the sum of the 12 elements of the following sequence:

{0, 1, 2, 3, ..., 11}

In which \(a_1 = 0, a_11 = 11, n = 12\).

Then:

\(T = 2\frac{12(0 + 11)}{2} = 12 \times 11 = 132\)

The clock chimes 132 times in a 24-h period.

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