Which describes the slope of the given line?

The coefficient matrix of the Given system is:

A = [ -4   1    4]

      [ -5 -6  -6]

      [ 4    1   -3]

A matrix coefficient (or matrix element) in mathematics is a special form of function on a group that depends on a linear representation of the group and other information. It is specifically a function on a compact topological group G that is created by joining a linear map from the endomorphisms of V onto the field beneath V with a representation of G on a vector space. Another name for it is a representative function.

The given linear system is

-4x y 4z = 8

-5x - 6y - 6z = 17

4x y - 3z = -14

The given system in matrix form can be written as :

[ -4   1    4]    [ x ]    [  8  ]

[ -5 -6  -6]  * [ y ] = [  17 ]

[ 4    1   -3]    [ z ]    [ -14 ]

From this the Coefficient matrix of the system is

A = [ -4   1    4]

      [ -5 -6  -6]

      [ 4    1   -3]

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The amount of money was invested in each account was 5098.55 & 5901.44

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Dilbert invests a total of $11,000 in two accounts.

The first account earned a rate of return of 13% (after a year).

The second account suffered a 4% loss in the same time period.

At the end of one year, the total amount of money gained was $155.00

Suppose, The amount of money invested in first account  = X

And the amount of money invested in second account  = Y

So,  X +  Y = 11000

The first account earned a rate of return of 13% (after a year).:

So, Amount in the first account after a year  =  X + 13 % of X

13 % of X  = (13 x X)/100

                =  0.13 X

Amount in the first account after a year  =  X + 0.13X

                                                                   =  1.13 X

Similarly, we can write for Second account:

Amount in the second account after a year  =  Y - 0.05Y

                                                                         =   0.95Y

The total amount of money gained was $155.00

1.13 X - 0.95 Y = 155

    X   +    Y    =   11000

After solving this equation,

we get values of X & Y respectively 5098.55 & 5901.44

Therefore, the amount invested in first and second account are respectively 5098.55 & 5901.44.

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Answer:

numbers plz

Step-by-step explanation:

i will prob edit my answer if u put the numbers

The expressions to the boxes to order them from least to greatest is,

⇒ 3/4 x 4/9, 7/7 x 4/9, 8/6 x 4/9, 2 x 4/9

Given that;

All the expressions are,

⇒ 7/7 × 4/9

⇒ 3/4 × 4/9

⇒ 8/6 × 4/9

⇒ 2 × 4/9

Hence, We get;

⇒ 7/7 × 4/9 = 0.4444

⇒ 3/4 × 4/9 = 0.3333

⇒ 8/6 × 4/9 = 0.5925925926

⇒ 2 × 4/9 = 0.8888888889

Thus, The expressions to the boxes to order them from least to greatest is,

⇒ 3/4 x 4/9, 7/7 x 4/9, 8/6 x 4/9, 2 x 4/9

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Answer:

See below.

Step-by-step explanation:

The answer is each figure in group 2 has one face.

-hope it helps

The value of  tan(45°+Θ) after using trigonometric ratio is  

1+tanΘ/ 1-tanΘ.

What is trigonometric ratios?

   There are six trigonometric ratios used in trigonometry: sine, cosine, tangent, secant, and cotangent. The abbreviations for these ratios are sin, cos, tan, sec, cosec(or csc), and cot. Look at the below-displayed right-angled triangle. Any two of the three sides of a right-angled triangle can be compared in terms of their relative angles using trigonometric ratios.

Here the given,

=> tan(45°+Θ)

Now using formula ,

=> tan(a+b) = \(\frac{tan a+tan b}{1-tan a*tanb}\)

=> tan(45°+Θ)= (tan 45°+tanΘ)/(1-tan45°*tanΘ)

We know that tan 45°=1 then ,

=> tan (45°+Θ)= 1+tanΘ/ 1-tanΘ

Hence the formula for  tan (45°+Θ) is  1+tanΘ/ 1-tanΘ.

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Answer: Ethiopia has a population growth rate above 2.5% and a life expectancy of 61 years old

Answer: about 37.5

Step-by-step explanation:

750000/20000

Answer:

-23. In my explanation I will include in my picture how this will look in your final answer

Step-by-step explanation:

So to solve this, I first set x + 3 = 0. This means that x = -3, which we will use soon. Now, here's how you would work out this problem. It would be confusing if I explained over text, so I included a picture of my work.

You would first set up your problem like it is in the picture. Then, bring 2 down. Next, multiply 2 by -3 (for future problems, you would multiply the number you brought down by whatever number is on the side). -3 × 2 = -6, so you would put that under 3 (as shown in the picture). Now, add 3 and -6 (which = -3). Repeat this step each time.

I hope this made sense! Please let me know if you have any questions.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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Answer:

Step-by-step explanation:

Let "x", "y" and "z" be the cost pf one apple, one banana, and one pear.

5x + 6y =  8y + 9z

5x + 6y - 8y  =  9z

 5x - 2y  =  9z  ---(1)

Given that :

One apple costs as much as 2 pears.

x  =  2z

Applying the value of x in (1), we get

5(2z) - 2y  =  9z

10z - 9z  =  2y

z  =  2y

The cost of 1 pear is equal to 2 bananas.

Answer:

-13

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

Becuase 13's opposite is -13.

(If you still dont understand you can search up negative and positive number lines up to 20!)

Answer:

h ≈ 5.67

Step-by-step explanation:

I used an online calculator. Hope that this is correct and helps! Have a good night and good luck!

The minimum distance the annihilation event could have occurred from the center of the machine is approximately 98.94 nanometers.

To determine the minimum distance the annihilation event could have occurred from the center of the machine, we can use the speed of light as a constant and the time difference between the collisions of the gamma rays.

The speed of light in a vacuum is approximately 299,792,458 meters per second (m/s).

Since the time difference between the collisions of the gamma rays is given as 0.33 nanoseconds, we need to convert this time to seconds. One nanosecond is equal to 1 × 10⁻⁹seconds.

0.33 nanoseconds is equal to 0.33 × 10⁻⁹ seconds.

Now, we can calculate the minimum distance using the equation:

Distance = Speed of light × Time

Distance = 299,792,458 m/s × 0.33 × 10⁻⁹ seconds

Distance ≈ 98.94 nanometers

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The probability of obtaining a sample mean between 4.1 and 4.11 in a random sample of size 511 is 0.

To calculate the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in a discrete uniform population with x = 2.4, we can use the properties of the sample mean and the given population.

In a discrete uniform population, all values are equally likely. Since the mean of the population is x = 2.4, it implies that each value in the population is 2.4.

The sample mean is calculated by summing all selected values and dividing by the sample size. In this case, the sample size is 511.

To find the probability, we need to calculate the cumulative distribution function (CDF) for the sample mean falling between 4.1 and 4.11.

Let's denote X as the value of each individual in the population. Since X is uniformly distributed, P(X = 2.4) = 1.

The sample mean, denoted as M, is given by M = (X1 + X2 + ... + X511) / 511.

To find the probability P(4.1 < M < 4.11), we need to calculate P(M < 4.11) - P(M < 4.1).

P(M < 4.11) = P((X1 + X2 + ... + X511) / 511 < 4.11)
           = P(X1 + X2 + ... + X511 < 4.11 * 511)

Similarly,
P(M < 4.1) = P(X1 + X2 + ... + X511 < 4.1 * 511)

Since each value of X is 2.4, we can rewrite the probabilities as:

P(M < 4.11) = P((2.4 + 2.4 + ... + 2.4) < 4.11 * 511)
           = P(2.4 * 511 < 4.11 * 511)

Similarly,
P(M < 4.1) = P(2.4 * 511 < 4.1 * 511)

Now, we can calculate the probabilities:

P(M < 4.11) = P(1224.4 < 2099.71) = 1 (since 1224.4 < 2099.71)
P(M < 4.1) = P(1224.4 < 2104.1) = 1 (since 1224.4 < 2104.1)

Finally, we can calculate the probability of the sample mean falling between 4.1 and 4.11:

P(4.1 < M < 4.11) = P(M < 4.11) - P(M < 4.1)
                 = 1 - 1
                 = 0

Therefore, the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in the given discrete uniform population is 0.

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Answer:

20

Step-by-step explanation:

15 x 10 = 150. 150 x 2 = 300. 300mg = 20 pills.

Answer:

Step-by-step explanation:

Answer:

The answer is 888,889,013,321

Step-by-step explanation:

Hope it's answer you plz mark as Brainlist

Answer:

  (b)  $318.64

Step-by-step explanation:

You want the monthly payment for a 48-month loan of $12,100 at 12%.

The amortization formula tells you the payment is ...

  A = P(r/12)/(1 -(1 +r/12)^-n)

where r is the annual interest rate, n is the number of monthly payments, and P is the principal borrowed.

  A = $12,100(0.12/12)/(1 -(1 +0.12/12)^-48) ≈ $318.64

The loan payment necessary is $318.64.

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The sequence cos(0),cos(π),cos(2π),cos(3π),cos(4π),… can be represented as a function k: N -> R, where N is the set of natural numbers and R is the set of real numbers. The domain of the function is the set of natural numbers, and the codomain is the set of real numbers. The function l: N -> {-1,1}, where l(n) = (-1)^(n).

The sequence 1,14,19,116,… can be represented as a function f: N -> N, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: f(1) = 1, f(2) = 14, f(3) = 19, f(4) = 116, and so on.
The sequence 13,19,127,181,… can be represented as a function g: N -> N, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: g(1) = 13, g(2) = 19, g(3) = 127, g(4) = 181, and so on. The domain of the function is the set of natural numbers, and the codomain is also the set of natural numbers. We can see that this sequence is not equal to any of the other sequences given.

The sequence 1,−1,1,−1,1,−1,… can be represented as a function h: N -> {-1,1}, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: h(1) = 1, h(2) = -1, h(3) = 1, h(4) = -1, and so on. The domain of the function is the set of natural numbers, and the codomain is the set {-1,1}. We can see that this sequence is equal to the function f: N -> {-1,1}, where f(n) = (-1)^(n+1).

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This statement is - true.

Two angles that lie in the same plane and have a common vertex and a common side but have no common interior points are the meaning of adjacent angles.

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Answer: X=4 Y=-4 so 4,4

Step-by-step explanation:

Hope this helps and the explanation is that The Vertex is on a 4 X axis and on a -4 Y axis

Answer:

The co-ordinates are

2 and 5 and y=0 for each

Step-by-step explanation:

x=2x=5

(x-2)(x-5)=0

x²-2x-5x+10=0

x²-7x+10=0

Answer:

4 8 12 16 20 24 28 32 36 40 44

Answer:

y = 2/3x - 2

Step-by-step explanation:

I'm pretty sure this is asking about the slope intercept form, since you didn't give us the actual answers. If not, comment below. Slope intercept form follows the y = mx + b form, where m is the slope and b is the y-intercept. By plugging your givens in, you get y = 2/3x - 2

Answer:

7

Step-by-step explanation:

12x+6=90

12x=84

x=7

Yes, a test of statistical significance be conducted before or after computing d and interpreting its value.

The p-value is an important phrase for hypothesis testing in the context of statistical significance of data.

The p-value is defined as a function of observed sample outcomes that is used to evaluate statistical hypotheses. Before running the test, a threshold value must be chosen.

The significance is a figure that represents the probability that the outcome of a study occurred entirely by chance. The statistical significance can be low or high. It does not always imply practical significance. When a researcher does not use language carefully in their experiment report, the significance may be misconstrued.

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Answer:

m = -4/5

Step-by-step explanation:

The two points on a line are  (-5, 11) and (0, 7).

Moving from the first to the second, we see x increasing by 5 and y decreasing by 4.  Thus, the slope of the line connecting these two points is m = rise / run, or

m = -4/5

It is unlikely that the projected rebounds in 15 shots will actually happen.

Total shots fired equals 10.

To find that there were 15 shots total.

Consider S to be the likelihood that your team will rebound and miss a shot.

P(S) = Number of rebounds / Total Number of outcomes

P(S) = 7/15

P(S) = 0.46

Consequently, it is unlikely that the projected rebounds in 15 shots will actually happen.

Thus, it is unlikely that the projected rebounds in 15 shots will actually happen.

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The complete question is-

During a basketball game, you record the number of rebounds from missed shots for each team.  How many rebounds should your team expect to have in 15 missed shots?

Picture for question is attached.

The coefficient of determination is often used to evaluate the usefulness of regression models.

In simple linear regression, r2 is the coefficient of determination. In statistics, a measure of the proportion of the variance in one variable that can be explained by another variable is referred to as the coefficient of determination (R2 or r2).

The coefficient of determination, often known as the squared correlation coefficient, is a numerical value that indicates how well one variable can be predicted from another using a linear equation (regression).The coefficient of determination is always between 0 and 1, with a value of 1 indicating that 100% of the variability in one variable is due to the linear relationship between the two variables in question.

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