Increase 400 by 20% please

The solution of each of the following systems of linear equations using augmented matrices are below:

(a) x = -2 and y = -1

(b) x = -1/2 and y = 1

(c) x = -7 and y = 2

(d) Either \(S = \frac{16}{3}\) and there are infinite solutions or\(S \neq \frac{16}{3}\) and there are no solutions

a. x - 3y = 1, 2x - 7y = 3 Putting the above linear equation in augmented matrices form we get:

\(\left[\begin{array}{ccc}1&-3&|1\\2&-7&|3\\\end{array}\right]\)

Performing row operations to solve the above matrix we get:

\(\left[\begin{array}{ccc}1&-3&|1\\0&-1&|1\\\end{array}\right]\) therefore y = -1

and \(\left[\begin{array}{ccc}1&0&|-2\\0&1&|-1\\\end{array}\right]\) therefore x = -2.

b. x + 2y = 1, 3x + 4y = 1 Putting the above linear equation in augmented matrices form we get:\(\left[\begin{array}{ccc}1&2&|1\\3&4&|1\\\end{array}\right]\)

Performing row operations to solve the above matrix we get: \(\left[\begin{array}{ccc}1&2&|1\\0&-2&|-2\\\end{array}\right]\) so y = 1

and \(\left[\begin{array}{ccc}1&0&|\frac{-1}{2} \\0&1&|1\\\end{array}\right]\) so x = \frac{-1}{2}

c. 2x + 3y = -1, 3x + 4y = 2 Putting the above equation in matrix form we get: \(\left[\begin{array}{ccc}2&3&|-1\\3&4&|2\\\end{array}\right]\)

Performing row operations to solve the above matrix we get: \left[\begin{array}{ccc}2&3&|-1\\0&1&|2\\\end{array}\right] therefore y = 2

and \(\left[\begin{array}{ccc}1&0&|-7\\0&1&|2\\\end{array}\right]\) therefore x = -7

d. 3x + 4y = 1, 4x + Sy = -3 Putting the above equation in matrix form we get: \(\left[\begin{array}{ccc}3&4&|1\\4&S&|-3\\\end{array}\right]\)

As the above matrix is not in the echelon form, therefore we perform row operations to convert the matrix into echelon form: \\([\begin{array}{ccc}3&4&|1\\4&S&|-3\\\end{array}\right}]\)

Performing row operation R_{2}→ R_{2}-\frac{4}{3}R_{1}

We get: \(\left[\begin{array}{ccc}3&4&|1\\0&S-\fract{16}{3}&|\frac{-7}{3}\\\end{array}\right]\)

Therefore, either \(S = \frac{16}{3}\) and there are infinite solutions or S ≠ 16/3 and there are no solutions.

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These are the polynomial equations:

A = x^ (1/4) - ∛x + 4√x - 8x + 16

B = 3x² - 5x⁴ + 2x - 12

C = x³ - 7x² + 9x - 5x⁴ - 20

D = x⁵ - 5x⁴ + 4x³ - 3x² + 2x - 1

These are the non-polynomial equations:

E = 4/x⁴ + 3/x³ - 2/x² - 1

F = x⁻⁵ - 5x⁻⁴ + 4x⁻³ - 3x⁻² + 2x⁻¹ - 1

Polynomials are mathematical expressions that only use addition, subtraction, multiplication, and non-negative exponentiation of the variables, along with coefficients (constants that multiply with the variables), coefficients, and constants.

Some of the elements of an equation are coefficients, variables, operators, constants, terms, expressions, and the equal to sign. An equation must always begin with the "=" sign and have terms on both sides.

Let the polynomial equations be represented by the following letters: A, B, C, D, E, and F.

In the equation, we can solve for other values to obtain:

Moreover, a polynomial equation is not an algebraic equation that has a negative exponent or an exponent that is fractional. Thus, negative exponent expressions are not polynomials.

A = x^ (1/4) - ∛x + 4√x - 8x + 16

This polynomial exists.

B = 3x² - 5x⁴ + 2x - 12

This polynomial exists.

C = x³ - 7x² + 9x - 5x⁴ - 20

This polynomial exists.

D = x⁵ - 5x⁴ + 4x³ - 3x² + 2x - 1

It is a polynomial.

E = 4/x⁴ + 3/x³ - 2/x² - 1

It is not a polynomial.

F = x⁻⁵ - 5x⁻⁴ + 4x⁻³ - 3x⁻² + 2x⁻¹ - 1

A polynomial is not what it is.

The polynomials are thus resolved.

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Answer:

p=-5

Step-by-step explanation:

5p-3p=-2-8

2p=-10

p=-5

(a)The amount of water in the tank is increasing.

(b)Evaluate  \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.

(c)Solve part (b) to get the absolute minimum from the critical points.

(d)The equation can be set up as   \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.

What is the absolute value of a number?

The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.

To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:

a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.

At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.

Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.

b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:

\(\int\limits^{18}_0(W(t) - R(t)) dt\)

Evaluate this integral to get the number of gallons of water in the tank at t = 18.

c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.

d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.

The equation can be set up as:

\(\int\limits^k_{18}-R(t) dt = 1200\)

Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.

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No, Isaiah is incorrect. The greatest common factor (GCF) of the polynomial a^3 - 25a^2b^5 - 35b^4 is not 5a^2.


To determine the GCF of a polynomial, we need to find the highest power of each variable that is common to all terms. In this case, the polynomial consists of three terms: a^3, -25a^2b^5, and -35b^4.

To find the GCF, we identify the highest power of each variable that appears in all terms. In this polynomial, the highest power of 'a' is a^3, and the highest power of 'b' is b^5. However, the coefficient -25 in the second term does not contain a common factor of 5 with the other terms. Therefore, 5a^2 is not the GCF of the polynomial.

To determine the GCF, we need to find the common factors among all terms. In this case, both 'a' and 'b' are common factors among all terms. The highest power of 'a' that appears in all terms is a^2, and the highest power of 'b' that appears in all terms is b^4. Thus, the GCF of the polynomial a^3 - 25a^2b^5 - 35b^4 is a^2b^4.

In summary, Isaiah is incorrect in identifying the GCF as 5a^2. The correct GCF of the polynomial a^3 - 25a^2b^5 - 35b^4 is a^2b^4.

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Answer:

I say A or B but in favor A

Step-by-step explanation:

Answer:

7m-7m=8n+8n

m=16n

Step-by-step explanation: U must first link the like terms so in order to do so u must bring over the 7m, now before u brought over the 7m it was a positive 7m now that your bring it over it turns negeitive and the same goes for the term 8n when u carry that term over it turns positive now dont let the subtraction sign foul u it still negative as long as its beside the term it is going to be negative guys dont  forget that, now on to the next step after u cross over and change signs u start to work out now that the like terms are equal u dont  need to worry about them because its given u the go ahead to workout so your main focus is on the subtracting the 7's which  is 0 and leaves u with m u dont  have to put them but i dont recommend it the u start on the next side u and the 8's which is 16 and u put bk the n u have to put bk the terms its important and thats  how u get m=16n.

Laplace transforms are an essential mathematical tool used to solve differential equations. These transforms transform differential equations to algebraic equations that can be solved easily.

To solve the differential equations given in the question, we will use Laplace transforms. So let's start:Solution:a) y" – y = t y(0) = 1, y'(0) = 1First, we take the Laplace transform of the given differential equation.L{y" - y} = L{ty}

Taking the Laplace transform of both sides gives:L{y"} - L{y} = L{ty}Using the formula, L{y"} = s²Y(s) - s*y(0) - y'(0), and L{y} = Y(s) then we get:s²Y(s) - s - 1 = (1/s²) + (1/s³)Rearranging the above equation, we get:Y(s) = [1/(s²*(s² + 1))] + [1/(s³*(s² + 1))]Now, we apply the inverse Laplace transform to find the solution.y(t) = (t/2)sin(t) + (cos(t)/2)

The solution of the differential equation y" – y = t, with initial conditions y(0) = 1, y'(0) = 1 is y(t) = (t/2)sin(t) + (cos(t)/2).

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Answer:

what is the question? there's no attachment

Answer:

x = -2

Step-by-step explanation:

hope that helps :)

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer: x=8

Step-by-step explanation: i did this exact question on OW

Patrick received a total of approximately $6,785.97 over the course of 52 weeks.

To calculate the total amount of money Patrick received over the 52 weeks, we can use the concept of a geometric sequence. The first term of the sequence is $10, and each subsequent term is 10% more than the previous term.

To find the sum of a geometric sequence, we can use the formula:

Sn = a * (r^n - 1) / (r - 1),

where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = $10, r = 1 + 10% = 1.1 (common ratio), and n = 52 (number of weeks).

Plugging these values into the formula, we can calculate the sum of the sequence:

S52 = 10 * (1.1^52 - 1) / (1.1 - 1)

After evaluating this expression, we find that Patrick received approximately $6,785.97 over the 52 weeks.

As a result, Patrick collected about $6,785.97 in total over the course of 52 weeks.

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They spoke of a bicycle that is 1-foot long. the revolutions the tire will make when it is ridden one mile is 1681.52 revolutions.

Generally, The circumference of a tire is equal to the diameter times pi

C = d * pi.

Since the spoke of the bicycle is 1 foot long, the diameter of the tire is also 1 foot.

Therefore, the circumference of the tire is 1 * pi = approximately 3.14 feet.

To find out how many revolutions the tire will make when it is ridden one mile, you need to divide the distance traveled (1 mile) by the circumference of the tire.

One mile is equal to 5280 feet, so to find out how many times the tire will revolve, you would divide

5280/ 3.14

=1681.52 revolutions.

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Answer:

2.25 in²

Step-by-step explanation:

area of square = L X W

= 1.5 X 1.5

= 2.25 (in²)

Answer:

c

Step-by-step explanation:

Answer:

y = 4^x

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

18/12 = 1.50 per donut

10 x 1.5 = 15

Answer:

156 divided by 13

Step-by-step explanation:

  156/12 =  13

13 bags

The expected value of a discrete probability distribution is also known as the mean or the mathematical expectation.

The expected value of a discrete probability distribution is a concept in probability theory that represents the average value that can be expected from a random variable.

It is a measure of the central tendency of the distribution, and represents the average value of the random variable over many trials. The expected value is calculated by summing the product of each possible outcome and its corresponding probability.

It is a weighted average of all the possible outcomes of a discrete probability distribution, where the probabilities of each outcome are used as weights.

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To calculate the 90% confidence interval for the average EPS of all industrials listed on the DJIA, we will use the formula:

Confidence interval = sample mean ± (critical value * standard deviation / √sample size)

Step 1: Find the critical value.
Since we want a 90% confidence interval, the corresponding critical value can be obtained from the z-table. The critical value for a 90% confidence level is 1.645.

Step 2: Calculate the margin of error.
The margin of error is given by (critical value * standard deviation / √sample size).
Substituting the values, we get: 1.645 * 0.395 / √9 = 0.29175.

Step 3: Calculate the confidence interval.
The confidence interval is given by the sample mean ± margin of error.
Substituting the values, we get: 1.85 ± 0.29175.

The 90% confidence interval for the average EPS of all industrials listed on the DJIA is (1.55825, 2.14175).

We can be 90% confident that the true average EPS of all industrials listed on the DJIA falls within the range of 1.55825 to 2.14175.

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The expression in the form of (x+a)² + b is (x+3√2)²-19.

Given is an expression x²+6√2x-1, we need to convert it into (x+a)² + b,

(a+b)² = a²+b²+2ab

So, x²+6√2x-1,

So, x²+2×3√2x-1+18-18

= x²+18+2×3√2x-19

= x²+(3√2)²+2×3√2x-19

= (x+3√2)²-19

Hence, the expression in the form of (x+a)² + b is (x+3√2)²-19.

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The consideration paid by Breakspear Co for the investment in Fleet Co was £570,000.

The consideration paid for an investment in a company includes the fair value of the equity shares purchased and any additional amounts paid for goodwill. In this case, Breakspear Co purchased 600,000 voting equity shares of Fleet Co, and the value of the non-controlling interest in Fleet Co was £150,000. The consideration paid for the investment is calculated by adding the value of the non-controlling interest to the goodwill arising on acquisition. Given that the goodwill arising on acquisition is £70,000, the consideration paid can be calculated as follows:

Consideration paid = Value of non-controlling interest + Goodwill

Consideration paid = £150,000 + £70,000

Consideration paid = £220,000

Therefore, the consideration paid by Breakspear Co for the investment in Fleet Co is £220,000.

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Two of the solutions of the equation cos(x/2) = -(sqrt2/2) are 135 degrees and 225 degrees (or 3π/4 radians and 5π/4 radians).

Two of the solutions of the equation cos(x/2) = -(sqrt2/2) can be found by considering the unit circle and the properties of cosine.

Since the cosine function represents the x-coordinate of a point on the unit circle, we can look for the angles where the x-coordinate is -(sqrt2/2).

One such angle is 135 degrees (or 3π/4 radians), where the cosine is equal to -(sqrt2/2). At this angle, the x-coordinate of the corresponding point on the unit circle is -(sqrt2/2).

Another angle with the same x-coordinate is 225 degrees (or 5π/4 radians). At this angle, the cosine is also equal to -(sqrt2/2).

Two of the solutions of the equation cos(x/2) = -(sqrt2/2) are 135 degrees and 225 degrees (or 3π/4 radians and 5π/4 radians). These angles satisfy the given equation and have the desired x-coordinate on the unit circle.

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Answer:

the above answer help you guy.

there are 1500 different super subs that can be made.

What is combination?

In mathematics, a combination is a way of selecting objects from a set, where the order in which the objects are selected does not matter. Combinations are used in various areas of mathematics and statistics, as well as in real-world applications such as probability theory, genetics, and computer science.

For the toppings, we have to choose 4 out of the 6 available, so the number of ways to do that is:

6C4

=15

This is the number of combinations of 4 toppings that can be chosen from 6.

For the condiments, we have to choose 3 out of the 6 available, so the number of ways to do that is:

6C3

=20

This is the number of combinations of 3 condiments that can be chosen from 6.

Finally, we have 5 choices of bread.

Therefore, the total number of different super subs that can be made is:

15*20*5 = 1500

So there are 1500 different super subs that can be made.

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Answer:

What is that

Step-by-step explanation:

Answer:

x=12 y=1

Step-by-step explanation:

12+3y=15

12-2y=10

12+3=15

12-2=10

If the correlation coefficient r is -1.0, it means that there is a perfect negative linear relationship between X and Y.

a) As X scores increase, Y scores decrease in a perfectly consistent manner. The magnitude is strong.

b) If the correlation coefficient r is +0.32, it means that there is a positive linear relationship between X and Y, but it is a weak relationship. As X scores increase, Y scores tend to increase, but not in a perfectly consistent manner. The magnitude is weak.

c) If the correlation coefficient r is -0.10, it means that there is a weak negative linear relationship between X and Y. As X scores increase, Y scores tend to decrease, but not in a consistent manner. The magnitude is weak.

d) If the correlation coefficient r is -0.71, it means that there is a strong negative linear relationship between X and Y. As X scores increase, Y scores tend to decrease in a consistent manner. The magnitude is strong.

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x/12 + 3 < 7 = x<48 this is the only one i can do because i cant do the others sorry