Solve using matrices. 6x-y-8z = 5 2x +y- z=5 8x + y-7z=9 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice O A. This system has exactly one solution. The solution is ( (Type an exact answer in simplified form.) O B. This system has infinitely many solutions of the form (A (Type expressions using z as the variable.) OC. This system has no solution. 2), where z is any real number.

Answer:

William Jones

Step-by-step explanation:

Here we must calculate the power from 3 to 4.

Solving:

The answer would be 81

The type of sampling design like this is is a stratified random sampling design.

This is a stratified random sampling design. The population is divided into two strata, one for female applicants and one for male applicants, and a random sample is selected from each stratum.

Stratified random sampling is a method of sampling that involves dividing the population into smaller groups or strata based on certain characteristics, and then randomly selecting a sample from each stratum. In this case, the population of applicants is divided into two strata: female applicants and male applicants.

A random sample of 15% of the female applicants who were not hired and 15% of the male applicants who were not hired are then selected and compared with the records of the recent hires. This allows for a more representative sample of the population as it ensures that both genders are represented in the sample, and also allows for a comparison of the hiring process between the two groups.

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Answer:

We often see patterns or relationships in scatterplots. When the y variable tends to increase as the x variable increases, we say there is a positive correlation between the variables. When the y variable tends to decrease as the x variable increases, we say there is a negative correlation between the variables.

Step-by-step explanation:

plz mark as brainlist

The correlation between two variables on a graph gives the relationship between those variables. Depending on the nature of these variables plotted on the graphs, the correlation is named.

Depending on the type of relation between the variables, the correlation is categorized into three major types. They are

i) Positively correlation

ii) Negative correlation

iii) No correlation

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Answer:

number is 3

Step-by-step explanation:

let n be the number , then 3 more than the number is n + 3 and six less than 4 times the number is 4n - 6 , so

4n - 6 = n + 3 ( subtract n from both sides )

3n - 6 = 3 ( add 6 to both sides )

3n = 9 ( divide both sides by 3 )

n = 3

the number is 3

x in terms of m, M, g, and h is x = y^2 / (mgh). M is an additional variable introduced, which was not mentioned in the initial problem statement.

To solve the given equations for x in terms of m, g, and h, we will solve each equation step-by-step:

Equation 1: 6x = 9y + 5y^2 = mgh

Step 1: Rearrange the equation to isolate x:

6x = mgh - 9y - 5y^2

Step 2: Divide both sides by 6:

x = (mgh - 9y - 5y^2) / 6

Therefore, x in terms of m, g, and h is:

x = (mgh - 9y - 5y^2) / 6

Equation 2: mx = (m + M)y^2 / (m + M)gh

Step 1: Simplify the equation by canceling out (m + M) on both sides:

mx = y^2 / gh

Step 2: Divide both sides by m:

x = y^2 / (mgh)

Therefore, x in terms of m, M, g, and h is:

x = y^2 / (mgh)

Please note that in Equation 2, M is an additional variable introduced, which was not mentioned in the initial problem statement. If you have any specific values for M or any further information, please provide it, and I can adjust the solution accordingly.

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Answer:

1/46,656 and Brad and Laura ARE like using unfair number cubes.

Step-by-step explanation:

Answer:

5 meters

Step-by-step explanation:

The values given, 3 and 4, are the legs a and b. The hypotenuse is the third and longest side, c.

To find the length of the hypotenuse, use the formula a² + b² = c².

Substitute our values for a and b and solve.

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

25 = c²

√25 = √c²

5 = c

The hypotenuse is 5 meters long.

I hope this helps <3

Using the Fundamental Counting Theorem, it is found that the website would have 30,891,577,600 passwords.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

For this problem, the first six spaces of the password are letters, and each can assume 26 values, hence the parameters are:

\(n_1 = n_2 = n_3 = n_4 = n_5 = n_6 = 26\)

The last two spaces are composed by digits, and each can assume 10 values, hence the parameters are:

\(n_7 = n_8 = 10\)

Hence the number of possible passwords is given by:

N = 26^6 x 10² = 30,891,577,600.

The website would have 30,891,577,600 passwords.

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Answer:

12

Step-by-step explanation:

if their similar then find the proportion with a cross multiplication equation

x/36 = 13/39

x*39 = 36*13

39x = 468

x = 468/39

x = 12

Answer:

x = 12

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\(\frac{JL}{PQ}\) = \(\frac{JK}{PR}\) , substitute values

\(\frac{x}{36}\) = \(\frac{15}{45}\) = \(\frac{1}{3}\) ( cross- multiply )

3x = 36 ( divide both sides by 3 )

x = 12

The simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The expression:

\(= \rm \dfrac{(g^3)(6^3)(p^7)}{(6)(g^2)(p^2)(p)}\)

After using the properties of integer exponent:

\(\rm =\dfrac{g^3\cdot \:6^2p^7}{g^2p^2p}\)

\(\rm =\dfrac{g\cdot \:6^2p^5}{p}\)

= g . 6² . p⁴

Thus, the simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.

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Answer:

x = 69 v = 103

Step-by-step explanation:

Angles in a triangle add up to 180 degrees:

34 + 77 + x = 180

x = 69

Angles on a straight line add up to 180:

77 + v = 180

v = 103

Answer:

Step-by-step explanation:

the sum of the interior angles in a triangles is 180°, take away from 180 the know angles (34° and 77°) and you will have your answer

180 - 34 - 77 = 69°

Now we find angle V

The angle V and the angle of 77 ° are on a straight line, so the sum is 180°, from 180° you subtract 77 ° and you have the value of V

180 - 77 = 103 °

Answer: a

Step-by-step explanation:

Tell me if it is correct

Answer:

I think there are 6 Tricycles in the shop.

Step-by-step explanation:

There is 3 wheels in a tricycle and 18 divided by 3 is 6.

After 1.8 years, the value equals the amount she paid for the car.

The value will be $ 22,131.10.

To solve the problem, find both the expense equation and depreciation equation.

The exponential depreciation equation will be:

\(y=25,900(1-0.082)^x\)

Where x represents time in years.

The expense equation will be: y=550 x+10,000

Where x represents the number of months that have passed

If x represents time in years in the expense equation, then it determines the yearly payment rather than the monthly payment.

Over the course of the year, Nina will have paid 550(12) or $ 6,600 in car payments.

The new yearly expense equation will be: y=6,600 x+10,000

Where x is time in years.

Use the two equations to find the point of intersection which will give the time she paid for the car and the value paid by her.

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Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

The domain of the step function f(x) = [2x] - 1, where [2x] represents the greatest integer less than or equal to 2x, can be determined by considering the restrictions on the input values.

In this case, the step function is defined for all real numbers. However, the greatest integer function imposes a restriction. Since the greatest integer function only outputs integers, the input values (2x) must be such that they produce integer outputs.

For any real number x, the greatest integer less than or equal to 2x will always be an integer. Therefore, the domain of the function f(x) = [2x] - 1 is:

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

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The university administration should not trust the results from this study as it did not take a random sample.

The appropriate question to ask in order to assess the evidence provided by the sample data is, "How likely is it to observe a difference of 0.09 or more extreme if there is no difference in the mean GPA for male and female scholarship athletes?"

This is because the sample data shows a difference of 0.09, so we want to find out how likely it is to observe a difference of this size or greater, given that there is no actual difference between the GPA of male and female scholarship athletes.
Based on the investigation that the professor conducted which revealed that the study was given to all of the athletes on the basketball teams exclusively, the university administration should not trust the results from this study.

This is because the study was not taken from a random sample of scholarship athletes, meaning that the sample did not accurately reflect the population. If the sample does not accurately reflect the population, then the results may be biased and should not be trusted.

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Answer:

Yeah, I also got 2.4 percent..

Answer:

1/12

Step-by-step explanation:

Answer:

Concept: Basic Multiplication

Answer:

1/4

Step-by-step explanation:

= 3/4 - 1/2

= 1/4

Answer:

The answer is A

Step-by-step explanation:

They both are 4 spaces in length on the number line, so that makes them similar

It is not of exponential order for h(t) = et2. F is of exponential order and has order. F is piecewise continuous. No function's Laplace transform is possible. g(t) = eat, where t [0,.

Non-exponential form:

To represent a scientifically notated number as a non-exponential quantity: • Remove the exponential component of the number by moving the decimal point the same number of places as the exponent's value. The decimal is moved to the right by the same number if the exponent is positive.

Here are a few instances of functions other than exponential ones. y = 3 1 x as a result. n = 0 3 p as a result. Because y = ( 4) x. Since b = 1, y = 6 0 x.

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Answer:

2 and -1/2 since -1/2 is negative the answer is 2

Step-by-step explanation:

I plugged the values into the quadratic formula

Given, the voltage across and current through a certain device are given byv(t) = 100(1 - e^-0.2t) V, i(t) = 30e^-0.2t mA is 7500 J.

Now, we have to find out the total energy dissipated by the device from t = 0 to t = [infinity].The instantaneous power is given byP(t) = v(t) * i(t)So, the power at any instant of time isP(t) = (100(1 - e^-0.2t)) * (30e^-0.2t)P(t) = 3000e^-0.4t - 3000e^-0.2t J/sec.

The energy dissipated by the device in time t is the integral of the instantaneous power over the interval [0, t].Hence, the total energy dissipated from t = 0 to t = [infinity] isW = ∫_0^∞ P(t) dtW = ∫_0^∞ (3000e^-0.4t - 3000e^-0.2t) dtW = (7500 e^-0.2t - 15000 e^-0.4t) |_0^∞W = (7500 * 0 - 15000 * 0) - (7500 - 0)W = 7500 JSo, the total energy dissipated by the device from t = 0 to t = [infinity] is 7500 J.

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The experimental probability that Kyle's next toss will be a hit is 11/18 or approximately 0.61.

The experimental probability of Kyle's next toss being a hit can be calculated by dividing the number of hits by the total number of tosses. In this case, the total number of tosses is the sum of hits and misses, which is 22 + 14 = 36. Therefore, the experimental probability of Kyle's next toss being a hit is 11/18 or approximately 0.61.
To find the experimental probability of Kyle's next toss being a hit, you need to consider the number of hits and total tosses so far.
Hits: 22
Misses: 14
Total tosses: 22 hits + 14 misses = 36 tosses
Now, calculate the experimental probability by dividing the number of hits by the total number of tosses:
Experimental probability = Hits / Total tosses = 22 / 36
Simplify the fraction:
Experimental probability = 11/18
So, the experimental probability that Kyle's next toss will be a hit is 11/18.

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Answer:

11/18

Step-by-step explanation:

The value of integer k is -5.

Polynomial equations formed with variables, exponents and coefficients .

Since the polynomial has three integer roots, we can express it as:

(x - r1)(x - r2)(x - r3) = 0

where r1, r2, and r3 are the three integer roots.

Expanding the left-hand side, we get:

x^3 - (r1 + r2 + r3)x^2 + (r1r2 + r1r3 + r2r3)x - r1r2r3 = 0

Comparing this with the given polynomial, we see that:

r1 + r2 + r3 = 1

r1r2 + r1r3 + r2r3 = k

r1r2r3 = 3

First we need to find the value of k. From the first equation, we see that one of the roots must be 1, since the sum of three integers that are not 1 cannot be 1. Without loss of generality, assume that r1 = 1. Then we have:

r2 + r3 = 0

r2r3 = 3

Since the roots are integers, the only possibility is r2 = -3 and r3 = 1.

Therefore, we have:

k = r1r2 + r1r3 + r2r3 = 1(-3) + 1(1) + (-3)(1) = -5

Therefore, the value of integer k is -5.

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Answer:

a) The estimates for the solutions of \(4\cdot x^{2}-4\cdot x -1 = 0\) are \(x_{1}\approx -0.25\) and \(x_{2} \approx 1.25\).

b) The estimates for the solutions of \(4\cdot x^{2}-4\cdot x -1 = 2\) are \(x_{1}\approx -0.5\) and \(x_{2} \approx 1.5\)

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial \(y = 4\cdot x^{2}-4\cdot x -1\), where \(x\) is related to the horizontal axis of the Cartesian plane, whereas \(y\) is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:

a) \(4\cdot x^{2}-4\cdot x -1 = 0\)

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

\(x_{1}\approx -0.25\), \(x_{2} \approx 1.25\)

b) \(4\cdot x^{2}-4\cdot x -1 = 2\)

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

\(x_{1}\approx -0.5\), \(x_{2} \approx 1.5\)

Multiplying x by any positive number smaller than 1 will result in some smaller value.

For example, if the scale factor is k = 0.5, then we can think of this as the fraction k = 1/2. Multiplying by 1/2 will make any number smaller, namely, exactly half as much.

We are taking a fractional part of the original number, so its expected the result is smaller. It's like having a whole cake and we only take slices of that cake to end up with the new value. There's no way having one or more slice be larger than the original whole amount.

Because things are getting smaller, we call this type of dilation to be a reduction or we can call it shrinking. This is in contrast to an enlargement when k > 1.

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More info (optional section)

Claim:  For some positive number k such that k < 1, we have xk < x when x is positive.

The proof of this claim is fairly straight forward.

We multiply both sides of k < 1 by x to get

k < 1

x*k < x*1

xk < x

The inequality sign does not flip because we're multiplying both sides by a positive number x.

So because xk < x, this shows that the original value x gets smaller to xk when we apply the positive scale factor k such that k < 1. This is the same as saying 0 < k < 1. Furthermore, xk < x is the same as 0 < xk < x.

Answer:

x = 11/90 = 0.122

Step-by-step explanation:

7\(\frac{1}{2}\)x - \(\frac{1}{4}\) = \(\frac{2}{3}\)

15/2x - 1/4 = 2/3

90/12x - 3/12 = 8/12

90/12x = 8/12 + 3/12

90/12x = 11/12

x = (11/12)(12/90) = 132/1080 = 11/90