he system of equations below has no solution.

StartLayout enlarged left-brace 1st row two-thirds x + five-halves y = 15 2nd row 4 x + 15 y = 12
Which equation could represent a linear combination of the system?

x = -1 and y = 3 in equations (i) and (ii):x + y = 2-1 + 3 = 2 (satisfied)3x + y = 0-3 + 3 = 0 (satisfied)

a) Solving the system using substitution:

We know that: x+y=2 (i)3x+y=0 (ii)We will solve equation (i) for y:y=2-x

Now, substitute this value of y in equation (ii):3x + (2-x) = 03x+2-x=0 2x = -2 x = -1

Substitute the value of x in equation (i):x + y = 2-1 + y = 2y = 3b)

Solving the system using elimination (linear combination) :

We know that: x+y=2 (i)3x+y=0 (ii)

We will subtract equation (i) from equation (ii):3x + y - (x + y) = 0 2x = 0 x = 0

Substitute the value of x in equation (i):0 + y = 2y = 2c)

Solving the system by graphing:We know that: x+y=2 (i)3x+y=0 (ii)

Let us plot the graph for both the equations on the same plane:

                                graph{x+2=-y [-10, 10, -5, 5]}

                                 graph{y=-3x [-10, 10, -5, 5]}

From the graph, we can see that the intersection point is (-1, 3)d)

We calculated the value of x and y in parts a, b, and c and the solutions are as follows:

Substitution: x = -1, y = 3

Elimination: x = 0, y = 2

Graphing: x = -1, y = 3

We can see that the value of x is different in parts a and b but the value of y is the same.

The value of x is the same in parts a and c but the value of y is different.

However, the value of x and y in part c is the same as in part a.

Therefore, we can say that the solutions of parts a, b, and c are not the same.

However, we can check if these solutions satisfy the original equations or not. We will substitute these values in the original equations and check:

Substituting x = -1 and y = 3 in equations (i) and (ii):x + y = 2-1 + 3 = 2 (satisfied)3x + y = 0-3 + 3 = 0 (satisfied)

Therefore, the values we obtained for x and y are the correct solutions.

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There are 273,028 people who live in the region.

To find the number of people who live in the region, we need to calculate the area of the region and then multiply it by the population density.

The area of a circle with radius r is given by the formula \(A = \pi r^2.\)Therefore, the area of the region with a 10-mile radius is:

\(A = \pi r^2 =\pi (10^2)\) = 100π square miles

The number of people who live in this region can be found by multiplying the area by the population density:

Number of people = Population density x Area

= 869 people/square mile x 100π square miles

= 86900π people

Using a calculator, we can approximate this to:

Number of people ≈ 273,028.4

Therefore, there are approximately 273,028 people who live in the region with a 10-mile radius and a population density of 869 people per square mile.

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Answer:

Infinite solutions because the equation is true but it doesn't tell anyone what number it equals to and it says the x equals to itself.

Answer:

Since both sides are equal,there are infinitely many solutions.

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

15 x 3 is 45

Answer:

45 minutes

Step-by-step explanation:

We will use ratios for this question:

\(\frac{15}{2} =\frac{x}{6} \\\\2x=90\\x=45\)

Answer:

62

Step-by-step explanation:

Step 1:

50 ÷ 2 + 5 × 10 ÷ 2 + 7  Equation

Step 2:

25 + 5 + 50 ÷ 2 + 7   Divide 50 by 2 and Multiply 10 by 5

Step 3:

25 + 5 + 25 + 7   Divide 50 by 2

Step 4:

30 + 25 + 7  Add

Step 5:

55 + 7 Add

Answer:

62

Hope This Helps :)

Answer:

The coefficient of 6m is 6

Step-by-step explanation:

9514 1404 393

Answer:

  4 : 1

Step-by-step explanation:

Each segment joining midpoints is called a "midline." It is parallel to the segment not being joined, and is half its length. All the dimensions of the smaller triangle are half those of the larger triangle. (They are similar triangles.) The ratio of areas is the square of the ratio of side lengths:

  2² : 1² = 4 : 1 . . . . . . ratio of triangle areas

In this study, 60 undergraduate students were recruited to examine the effect of recycling on the amount of wrapping paper used to wrap a gift. The students were randomly assigned to one of two rooms, one with a recycling bin and one with a trash bin.

The researchers, who were secretly interested in measuring the amount of paper used, found that the students in the room with the recycling bin used significantly more paper than those in the room with the trash bin. This experiment suggests that the presence of a recycling bin may not have a significant effect on reducing the amount of wrapping paper used.

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Answer:

Step-by-step explanation:

\begin{align*}

T_{1,1} &= \frac{1}{2} (f(0) + f(1)) \\

&= \frac{1}{2} (1 + \frac{1}{2}) \\

&= \frac{3}{4}

\end{align*}

Now, for two subintervals:

\begin{align*}

T_{2,1} &= \frac{1}{4} (f(0) + 2f(1/2) + f(1)) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{1 + \left(\frac{1}{2}\right)^2}\right) + \frac{1}{1^2}\right) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{1 + \frac{1}{4}}\right) + 1\right) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{\frac{5}{4}}\right) + 1\right) \\

&= \frac{1}{4} \left(1 + 2 \cdot \frac{4}{5} + 1\right) \\

&= \frac{1}{4} \left(1 + \frac{8}{5} + 1\right) \\

&= \frac{1}{4} \left(\frac{5}{5} + \frac{8}{5} + \frac{5}{5}\right)

\end{align*}

Thus, the approximate value of the integral using Romberg's method is T_2,1, and this can also be used to obtain an approximate value of π.

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The following are the correct answers for the statement  V and W are vector spaces with ordered (finite) bases a and B, respectively, and T:V + W is linear. A and B are matrices:

(a) False. ([T]2)-1 refers to the inverse of the square of the matrix representing the linear transformation T, while [T-] refers to the inverse of the matrix representing the linear transformation T itself. These two are not necessarily equal.

(b) True. T is invertible if and only if it is both one-to-one (injective) and onto (surjective). This property ensures that there exists a unique inverse transformation that undoes the effects of T.

(c) False. T is a linear transformation, and A is the matrix representation of T. So, T = [T], where A = [T] is the matrix representation.

(d) False. M2x3(F) represents the set of 2x3 matrices over the field F, while FS represents the set of column vectors of finite length over the field F. These two vector spaces are not isomorphic since they have different dimensions.

(e) True. P.(F) represents the set of polynomials over the field F, and Pm(F) represents the set of polynomials of degree at most m over the field F. These two vector spaces are isomorphic if and only if the degree of the polynomials is equal (n = m).

(f) False. AB = I implies that A and B are left and right inverses of each other, respectively, but it does not necessarily imply that they are invertible. Invertibility is determined by the existence of an inverse matrix, which is not guaranteed by AB = I alone.

(g) True. The inverse of the inverse of a matrix is the matrix itself.

(h) True. If A is invertible, then its matrix representation [A] is invertible as well. Similarly, if [A] is invertible, then A is invertible.

(i) True. In order to possess an inverse, a matrix must be square (i.e., have the same number of rows and columns). Non-square matrices do not have inverses.

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To compute the z-score for the applicant, we can use the formula:

z = (x - μ) / σ

Where:

x is the applicant's score

μ is the mean

σ is the standard deviation

Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.

z = (21.0 - 18.0) / (-3.0)

z = 3.0 / -3.0

z = -1.0

Therefore, the z-score for the applicant is -1.0.

The correct option is O-10.

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Answer:

n = 55/8

Step-by-step explanation:

\(\frac{11}{n} = \frac{8}{5}\\\\cross \ multiply :\\ 8 \times n = 11 \times 5\\\\n = \frac{11 \times 5}{8} = \frac{55}{8}\)

Answer:

\(n=\frac{55}{8}\)

Step-by-step explanation:

First, cross multiply

\(\frac{11}{n} =\frac{8}{5}\)

\((11)*(5)=8*n\)

\(55=8n\)

Now, flip the equation

\(8n=55\)

Divide both sides by 8

\(\frac{8n}{8} =\frac{55}{8}\)

\(n=\frac{55}{8}\)

hope this helps :)

The missing part of the equation is \(-7.0\times10^4 s^2kg⋅m^2 / 1000000.\)

To fill in the missing part of the equation, let's analyze the given information and the desired conversion. The equation is:

\((-7.0\times 10^4 s^2g⋅m^2)\cdot \pi = ? s^2kg\cdot m^2\)

In this equation, we have a quantity expressed in\(s^2g\cdot m^2\) units on the left-hand side. To convert it to \(s^2kg\cdot m^2\) units, we need to multiply it by a conversion factor.

To perform the conversion, we can use the fact that 1 kg is equal to 1000 g. Therefore, the conversion factor we need is:

1 kg / 1000 g

To ensure that the units cancel out correctly, we need to square this conversion factor because we have \(s^2g\cdot m^2\) on the left-hand side. So the missing part of the equation is:

\((-7.0\times 10^4 s^2g\cdot m^2)\cdot \pi = (-7.0\times 10^4 s^2g\cdot m^2)\cdot (1 kg / 1000 g)^2\)

Simplifying this expression, we get:

\((-7.0\times10^4 s^2g\cdot m^2)\cdot \pi = -7.0 \times10^4 s^2kg\cdot m^2 / 1000000\)

Therefore, the missing part of the equation is \(-7.0 \times 10^4 s^2kg\cdot m^2 / 1000000.\)

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The hypothesis test is right-tailed because the alternative hypothesis is that the proportion p is greater than 0.7. The calculated P-value is 0.1562, which is greater than the significance level of 0.05. Therefore, we fail to reject the null hypothesis that p ≤ 0.7. We do not have enough evidence to conclude that the proportion p is greater than 0.7 at a significance level of 0.05.

The hypothesis test is right-tailed because the alternative hypothesis is that the proportion p is greater than 0.7.

To find the P-value, we need to calculate the probability of obtaining a test statistic as extreme or more extreme than the observed value of 1.02, assuming the null hypothesis is true. Since this is a right-tailed test, the P-value is the area to the right of the observed test statistic in the standard normal distribution. We can use a standard normal distribution table or a calculator to find this probability.

P(Z > 1.02) = 0.1562

To determine whether to reject or fail to reject the null hypothesis at a significance level of α = 0.05, we compare the P-value to α. If the P-value is less than α, we reject the null hypothesis. If the P-value is greater than or equal to α, we fail to reject the null hypothesis.

In this case, the P-value is 0.1562, which is greater than α = 0.05. Therefore, we fail to reject the null hypothesis that p ≤ 0.7. We do not have enough evidence to conclude that the proportion p is greater than 0.7 at a significance level of 0.05.

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Answer:

The Sidewalk is 16 yards^3

Step-by-step explanation:

To find the this answer its quite simple!

Anytime there's an area problem you would have to multiply to numbers to get the area

in this case 16 is the answer because when you multiply 16 * 16 you get the total area of 256 yards. hope this was understand able!

High Hopes^^

Barry-

Answer:

2

Step-by-step explanation:

We want to find the value of p/2 - 5 when p = 14.

Simply put 14 in the place of p and solve:

14/2 - 5

7 - 5 = 2

The value of 2.

Answer:

By multiplying unit price by 4

Step-by-step explanation:

Answer:

By finding the unit price and multiplying it by 4 .

Step-by-step explanation:

Unit price = 2.52 / 1/2

= 2.52 * 2

= 5.04.

Now multiply this by 4 to give $20.16.

Answer:

The number of reactant atoms is equal to the number of product atoms.

Step-by-step explanation:

The estimated population of octopuses in Lizbeth Rich's study is approximately 0.9968.

The population of Lizbeth Rich's study is the total number of octopuses that she is interested in studying, which is not explicitly stated in the given information. However, we can estimate the population based on the sample size and the proportion of octopuses maintaining gardens.

In the study, Lizbeth surveys 312 randomly selected octopuses to see if they maintain a garden. Out of these 312 octopuses, 23 maintained gardens.

To estimate the population, we can use the concept of sampling proportion. We know that 23 out of 312 octopuses maintained gardens. We can set up a proportion:

23/312 = x/total population

We can cross-multiply and solve for the total population:

23 * total population = 312 * x

23 * total population = 312x

total population = (312x) / 23

To find the value of x, we need to divide the number of octopuses maintaining gardens (23) by the proportion of octopuses maintaining gardens in the sample (312):

x = 23 / 312

x ≈ 0.0737

Now we can substitute this value back into the equation to find the total population:

total population = (312 * 0.0737) / 23

total population ≈ 0.9968

So, the estimated population of octopuses in Lizbeth Rich's study is approximately 0.9968.

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Answer:

it may be smaller because the distance of dab is small than cab

An equation is formed of two equal expressions. The value of r in the given equation is 6.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution for the value of r in the given equation will be,

5r - r - 9 = 15

5r - r - 9 + 9 = 15 + 9

4r = 24

r = 6

A.) The first step is to Use the addition property of equality. Thus, the correct option is B.

B.) The value of r in the given equation is 6.

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=======================================================

Explanation:

To find the rate of change, we'll need to find the slope.

Focus on Marisol's data table. Let's pick the first two rows to see that

(x1,y1) = (2,12)

(x2,y2) = (3,18)

The slope through these points is....

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

m = (18-12)/(3-2)

m = 6/1

m = 6

So she can purify 6 ounces of water per hour. We'll keep this rate in mind for later.

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

Now move onto Timothy's table

Again we'll pick the first two rows. You can pick any two rows you want, but the first two just seems most convenient.

(x1,y1) = (4,36)

(x2,y2) = (6,54)

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

m = (54-36)/(6-4)

m = 18/2

m = 9

Timothy's machine can purify at a rate of 9 ounces per hour. His rate is faster compared to Marisol.

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

To summarize, we have these rates

Zorian's rate must be between 6 and 9 oz per hour.

So we must look through the answer choices and see which slope is between 6 and 9. That would be for the equation y = 8x since the slope here is 8, which is between 6 and 9.

Something like y = 15x doesn't work because the rate 15 is larger than Timothy's rate.

So that's why y = 8x is the answer.

Side note: The equation y = 8x is the same as y = 8x+0. It is in the form y = mx+b with slope m = 8 and y intercept b = 0.

The result of the computation is\(-6.98 × 10^(-10)\) in scientific notation.

To perform the computation and write the result in scientific notation, we can divide the two numbers and then adjust the decimal point and exponent accordingly.

\((-2.59 × 10^(-4)) / (3.7 × 10^(5))\)

When dividing, we subtract the exponents and divide the coefficients:

\(= (-2.59 / 3.7) × (10^(-4) / 10^(5))\)

\(= -0.698 × 10^(-9)\)

In scientific notation, we write the coefficient as a decimal between 1 and 10, and the exponent as a power of 10:

\(= -6.98 × 10^(-10)\)

Therefore, the result of the computation is \(-6.98 × 10^(-10)\) in scientific notation.

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Answer: The answer is W=70+30x

Step-by-step explanation: Given that Rei is barricading a door to stop a horde of zombies by satcking boxes of books on a table in front of the door.

The weight of each box is 30 kilograms and the weight of the table with 8 boxes on the top is 310 kilograms.

Therefore, the weight of the table without boxes is 70 kilograms.

Now, if 'W' is the total weight of the barricade, then it can be written as a function of 'x', the number of boxes Rei stacks on the table. The expression is as follows -

So, if 'g' denotes the weight of the table alone, then we have,

Answer:

try one or three

Step-by-step explanation:

5/6 or 5/9

Answer:

Step-by-step explanation:

It’s A

For the statement to happen, the number should be 2.

An algebraic expression is is defined as the combination of numbers and variables in solving a particular mathematical question. Variable, usually letters, are used to denote the unknown quantity.

Let x = number

Based on the information given, add the number to the numerator of 11/35 and add twice the number to the denominator of 11/35, and the result should be equal to 1/3.

Hence, (11 + x) / (35 + 2x) = 1/3.

Simplify and solve for the value of x.

3(11 + x) = (35 + 2x)

33 + 3x = 35 + 2x

3x - 2x = 35 - 33

x = 2

number = 2

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The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.

The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).

To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.

Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.

Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.

Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.

Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.

Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.

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Answer:

16 + 2 = 18

Step-by-step explanation:

if w equals 2 the answer is 18

The present value of the note received by Wildhorse Co is approximately $49,862.30.

The present value of the note received by Wildhorse Co use the formula for the present value of a single sum:

PV = FV / (1 + r)²n

Where:

PV is the present value,

FV is the future value (the face value of the note),

r is the discount rate, and

n is the number of periods

Given information:

FV = $73,000

r = 10% = 0.10

n = 4 years

values into the formula:

PV = $73,000 / (1 + 0.10)²4

Calculating the denominator:

(1 + 0.10)²4 = 1.10²4 = 1.4641

PV = $73,000 / 1.4641

Calculating the present value:

PV = $49,862.30

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