given the augmented matrix in row-reduced form, assume that it is equivalent to an augmented matrix of a system of linear equations. for each matrix: determine the number of equations and number of variables in the corresponding system of linear equations. determine if the system is underdetermined or overdetermined.
System : [ 1 ¼ -1/4 | 1]
[ 0 0 0 | 0]
find the solution(s) to the system, if it exists. state the solution as a point (be sure to use parentheses), use parameter(s) and if needed. if the system is inconsistent, then state no solution.

Answer:

i want to say three

Step-by-step explanation:

Answer: 5.3

Step-by-step explanation:

\(12.6-(5.1+2.2)\\\\=12.6-7.3\\\\=5.3\)

The equation y + cos(y) = x + 1 defines a curve in the xy-plane. The curve represents the relationship between x and y values that satisfy the given equation.

The equation y + cos(y) = x + 1 is a transcendental equation, which means it does not have a simple algebraic solution. To study the curve defined by this equation, we can analyze it graphically or numerically.

By plotting points that satisfy the equation, we can observe the shape and behavior of the curve. The equation combines both algebraic terms (y and x) and trigonometric functions (cos(y)), resulting in a complex relationship between x and y values.

Therefore, the curve represents all the points (x, y) that satisfy the equation, forming a distinct pattern in the xy-plane.

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Answer:

ok ez

Step-by-step explanation:

a) 119/1009=11.79%

b) 264/1009=26.17%

c) 75/1009= 7.43%

d) 9/1009= 0.89%

u are welcome :)

Answer:

r=√(A/π)

r=2.8

Step-by-step explanation:

We want to get (r) alone on one side

A=πr^2

divide each side by π

A/π=r^2

square root each side

√(A/π)=r

r=√(A/π) is the answer to your first question.

now we are given A

r=√((25)/3.14)

put the left side into a calculator

r=2.8216632

round to nearest tenth of a centimeter

r=2.8

Answer:

(0,−3),(1,3),(2,9) are possible options

Step-by-step explanation:

Money market accounts allow for the creation of savings for current or upcoming requirements.

Savings for immediate or future needs can be made in money market accounts. To maintain your emergency savings in a convenient and secure location, for instance, you can think about opening a money market account. You desire to earn an APY similar to CDs without locking up your money for months.

You can get instant access to your money using money market accounts almost whenever you need it. A common feature of MMAs is the availability of check writing and debit card cash access. Also, be aware that you can often withdraw funds without being charged a fee, just like you could with a certificate of deposit (CD).

Therefore, the correct answer is option A. want to make numerous transactions and earn interest.

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The general solution of the differential equation is given by:\(y = yc + yp\)

= c1e-2x + c2e-3x + (x + c3) e-2xThis is the final solution to the given differential equation.

The given differential equation is: y + 5y + 6y = e^-2x This is a nonhomogeneous linear differential equation, in which we can use either the method of undetermined coefficients or variation of parameters to solve the nonhomogeneous portion of the problem.

We can use the method of undetermined coefficients if the right-hand side (RHS) of the differential equation is a linear combination of the terms:ex, e-axsin bx, e-axcos bx, eaxsin bx, and eaxcos bx.In this case, RHS is e^-2x, and we don't have a linear combination of the terms mentioned above. Hence we cannot use the method of undetermined coefficients. Variation of Parameters.

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There are 18 possible ice cream cones of 1 scoop are there.

Based on the given information, an ice cream can only have 1 scoop of ice cream and a choice of a cone and sprinkles. Hence,

3 flavors of ice cream

2 choices of cones

3 choices of sprinkles

Fundamental Principle of Counting, also called the counting rule, is the method to count how many ways multiple independent events can occur.

Thus, by Fundamental Principle of Counting, the number of possible outcomes is

3 x 2 x 3 = 18

Hence, there are 18 possible ice cream cones of different flavor and sprinkles.

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Answer:

See below

Step-by-step explanation:

The measure of all the arcs can be obtained by using 'Central angle and its corresponding arc theorem'.

1. The measure of arc AD is \( \boxed {105}\degree \)

2. The measure of arc ABC is \( \boxed {205}\degree \)

3. The measure of arc ADB is \( \boxed {190}\degree \)

4. The measure of arc BD is \( \boxed {85}\degree \)

The remainder when the sum \($1^5 2^5 3^5 \cdots 99^5 100^5$\) is divided by 4 is 0.

Explanation:

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Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

Answer:

it's the first answer

Step-by-step explanation:

its 2/9 because 1/3 × 2/3 = 2/9

Answer:

It's C

Step-by-step explanation:

1/3 x 2/3 = 2/9, which simplifies back to 1/3

and 1/3=2/6

The irrational number that represents the length of each side of the squares is 6.7082039324993 units.

In turn, since the upper side of the rectangle is twice the side of the square, the sides of the rectangle measure 6.7082039324993 units and 13.416407864998 units.

Since the length of a rectangle is twice the width, and the area of the rectangle is 90 square units, noting that the rectangle can be divided into two squares, to determine which irrational number represents the length of each side of the squares, and estimate the length and width of the rectangle, the following calculations should be performed:

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Answer:

The correct answer should be the first option.

Step-by-step explanation:

Answer:

First option. The graphs domain is -∞<x<∞ and its range is -5 ≤ y < ∞

Step-by-step explanation:

I graphed this function

Domain: x ∈ R

Range: y ∈ [-5, + ∞

Minimum (1, -5)

Verticle intercept (0, -4)

Let's assume the sum of the scores of the 28 students who took the test yesterday is 28 * 72 = 2016.

We know that the sum of the scores of all 30 students is (28 * 72) + x + y, where x and y are the scores of the two students who took the test this morning.

We also know that the mean of all 30 scores is 73. So we can write an equation:

[(28 * 72) + x + y]/30 = 73

Multiplying both sides by 30, we get:

2016 + x + y = 2190

So, x + y = 174.

We are given that the difference of the two scores is 22, so we can write another equation:

y - x = 22

Solving these two equations simultaneously, we get y = 98 and x = 76.

Therefore, the lower score from this morning is 76.

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Answer:

Step-by-step explanation:

here you go.

Answer:

Does the answer help you?

Please choose my answer as a brainliest answer and please rate.

It take a few minutes to solve your question.

The type of measurement, the nature of the comparison, and the number of groups to be compared influence the statistical choice is true.

The choice of statistical test depends on several factors, including the type of measurement (nominal, ordinal, interval, or ratio), the nature of the comparison (independent or dependent), and the number of groups being compared.

For example, different statistical tests are used for comparing means between two groups, three or more groups, or paired observations within the same group. It is important to select the appropriate statistical test that matches the research question and the data being analyzed to ensure accurate and valid results.

Hence, The type of measurement, the nature of the comparison, and the number of groups to be compared influence the statistical choice is true.

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Answer: The slope is -2x. The slope intercept form is Y = -2x - 4

Step-by-step explanation:

Get y by itself just like you are solving for it, all you need to do is subtract 2x

y = -2x - 4

Answer:

3, 2, 1, 0, literally anything below 4

Step-by-step explanation:

The "mouth" < or > eats the bigger number, if 4 is bigger than x, x must be smaller than 4

Answer:

A(2,5)

Step-by-step explanation:

x=2 and y=5

2y+4x=18

2y-3x=4

2(5) + 4(2) = 18

10+8=18

2(5)-3(2)=4

10-6=4

Answer:

The angles are 2x= 2x18°   =36° and  3x=3×18   =54°  

Step-by-step explanation:

It is given that two complementary angles are in the ratio 2:3.

Consider 2x and 3x as the angles.

We know that, if two angles are complementary, then their sum is 90°    .

Then, 2x+3x=90°  

 ⟹ 5x=90°  

⟹ x=  90/5

​  x=18°  

Here, the angles will be 2x=2×18   °=36°  

 and 3x=3×18°   =54  °

Hope this helps.

A table or spreadsheet used to systematically evaluate options according to specific criteria is a decision matrix.

A decision matrix is a table or spreadsheet used to systematically evaluate options based on specific criteria. It is a tool commonly used in decision-making processes to objectively assess and compare different choices.

The decision matrix organizes the criteria in rows and the options in columns. Each cell in the matrix represents the evaluation or score of an option based on a particular criterion. The criteria can be weighted to reflect their relative importance in the decision-making process.

By filling out the decision matrix with scores or ratings for each option and criterion, a comprehensive evaluation can be performed. The matrix allows decision-makers to visualize and compare the performance of different options against the criteria, helping them make more informed and structured decisions.

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Answer:

The first answer is 4 and so is the next box. The last one is 10.

Step-by-step explanation:Use your formula. It gave you y=x-3, so every Y point in the able will be 3 less than its corresponding x point.

Plug in the given values for either x or y and solve for the other.

When x = 7 , y = ?

Plug in 7 for x in the given equation:

y = x - 3

y = 7 - 3

y = 4

When x = 7, y = 4

When x = ? , y = 1

Plug in 1 for y in the given equation:

1 = x - 3

1 (+3) = x - 3 (+3)

x = 1 + 3

x = 4

When x = 4, y = 1

When x = ? , y = 7

Plug in 7 for y in the given equation:

7 = x - 3

7 (+3) = x - 3 (+3)

x = 7 + 3

x = 10

When x = 10, y = 7

~

The value of X is 13 .

the measure of RSM is 99°.

the measure of PTU is 99 °.

The angles congruent to∠ RSM are ∠STP , ∠OTU and ∠NST.

The angles congruent to ∠PTU are ∠STQ , ∠RSN and ∠MST.

When two lines do not cross at any point in a plane, they are said to be parallel. A pair of lines that never cross paths and do not have a common junction point are said to be parallel. Parallel lines are represented by the symbol "||".

Any two parallel lines can be separated by a consistent amount of perpendicular space.

Lines that run parallel to one another do not intersect. Parallel lines intersect at infinity is another way of putting it.

Pairs of angles are created when a transversal connects two parallel lines, for example:

Two lines are said to cross at a point in a plane when they do so, which is referred to as an intersection of lines.

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If x is the largest of the three consecutive integers, then the three consecutive integers can be represented as x-1, x, and x+1.

The sum of these three consecutive integers is:

(x-1) + x + (x+1)

Simplifying the expression, we get:

3x

Therefore, the expression in terms of the given variables that represents the sum of three consecutive integers when x is the largest is 3x.

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The value of the composite function (g o f)(6) is 3

From the question, we have the following parameters that can be used in our computation:

f(x) = 2x + 3

g(x) = 1/5x

A. Find f(6)

substitute the known values in the above equation, so, we have the following representation

f(6) = 2 * 6 + 3

So, we have

f(6) = 15

For the function (gof)(6), we have

g(x) = 1/5x

This gives

(g o f)(6) = 1/5 * 15

Evaluate

(g o f)(6) = 3

Hence, the composite function has a solution of 3

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Complete question

Given that f(x) = 2x + 3 and g(x) = 1/5x

Compute (gof)(6)

A. Find f(6)

B. substitute the value of g(x) into the function f(x) in place of x

The value of exponential function is f(-1.5) is 1.542 (approx.)

Given that f(x)f(x) is an exponential function where

f(-2.5)=1f(−2.5)=1 and f(3.5)=15f(3.5)=15, then we need to find the value of f(-1.5)f(−1.5).

Let f(x)f(x) be an exponential function.

Let us suppose the equation for f(x) is given by

f(x) = ab^x where a is a constant of proportionality (also called the initial value) and b is the base of the exponential function.

Putting the given values in the above equation, we have1 = ab^(-2.5) ......(i)

and 15 = ab^(3.5) .......(ii)

Divide equation (i) by equation (ii), we get

1/15 = b^(3.5+2.5) => b = (1/15)^(1/6) = 0.802

The equation for f(x) can now be written as

f(x) = a(0.802)^x

Putting x = -1.5 in the above equation, we have

f(-1.5) = a(0.802)^(-1.5)f(-1.5) = 1(0.802)^(-1.5)f(-1.5) = 1.542 (approx.)

Thus, the value of f(-1.5) is 1.542 (approx.)

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