If you subtract a negative number to another negative number do you get a positive answer or negative?

The associative property of addition and  Associative property of multiplication is missing.

The associative property of addition requires three terms or numbers or integers to be added I,e (a+b)+c=a+(b+c). here we have (2+4)t where t may be any real number if we are dealing with real numbers which hold commutativity both with respect to addition and multiplication and also holds the law of distributivity.

The associative property with respect to multiplication also not be applicable because according to this property we require three numbers i,e (ab)c=a(bc).  

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Degree of freedom for chi-square test for 10 categories will be 9.

What is chi- square test?

A test that evaluates how well a model matches real observed data is that the chi-square (χ²) statistic. A chi-square statistic can only be calculated with data that's random, unprocessed, mutually exclusive, obtained from independent variables, and drawn from a large enough sample.

The Formula for Chi-Square Is

χ(c)=²∑(Oₐ-Eₐ)₂/Eₐ²

where:

c=Degrees of freedom

O=Observed value(s)

E=Expected value(s)

​

Main Body:

Degree of freedom = total categories -1

so no. of categories= 10

Degree of freedom = 10 - 1

Hence degree of freedom = 9

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Answer:

95%

Step-by-step explanation:

Based on the given information, the confidence interval (4, 10) has been constructed using a sample size of 52 and a known population standard deviation of 17.638. To determine the confidence level used for this interval, we can compare the interval to the standard normal distribution (Z-distribution) for the corresponding critical values.

The formula for the confidence interval for a population mean with known standard deviation is given by:

Confidence interval = Sample mean ± (Z critical value * (Population standard deviation / sqrt(sample size)))

In this case, the given confidence interval is (4, 10), which represents the range of possible values for the population mean. The sample mean is not provided in the given information, so we cannot determine the exact confidence level used.

However, based on the provided answer choices, the closest match to the given confidence interval would be a 95% confidence level. This is because the confidence interval (4, 10) is quite wide, which corresponds to a higher level of confidence. A 95% confidence level is commonly used in many statistical analyses as it provides a high level of confidence in the estimated interval. Therefore, the most likely answer would be 95%.

Answer:

-5

12

36

60

Step-by-step explanation:

not really sure,. are you going to solve for the x only? or should you include the y?

answer 15

Step-by-step explanation:

5/8×24

5×3

=15

Answer:

The answer is the second option; letter B which is 15.

Step-by-step explanation:

1. Reduce the numbers. Reduce the numbers with the greatest common factor 8.

2. Multiply. Multiply the numbers.

3. Final simplified answer.

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Therefore, After 20 minutes, there are approximately 11.9 kg (rounded to one decimal place) of salt in the tank.

To solve this problem, we need to consider the rate of change of the amount of salt in the tank over time.

(a) Let's denote the amount of salt in the tank after t minutes as y (in kg). We can set up a differential equation to represent the rate of change of salt:

dy/dt = (rate of salt in) - (rate of salt out)

The rate of salt in is given by the concentration of salt in the incoming water (0 kg/L) multiplied by the rate at which water enters the tank (90 L/min). Therefore, the rate of salt in is 0 kg/L * 90 L/min = 0 kg/min.

The rate of salt out is given by the concentration of salt in the tank (y kg/9000 L) multiplied by the rate at which water leaves the tank (90 L/min). Therefore, the rate of salt out is (y/9000) kg/min.

Setting up the differential equation:

dy/dt = 0 - (y/9000)

dy/dt + (1/9000)y = 0

This is a first-order linear homogeneous differential equation. We can solve it by separation of variables:

dy/y = -(1/9000)dt

Integrating both sides:

ln|y| = -(1/9000)t + C

Solving for y:

y = Ce^(-t/9000)

To find the particular solution, we need an initial condition. We know that at t = 0, y = 12 kg (the initial amount of salt in the tank). Substituting these values into the equation:

12 = Ce^(0/9000)

12 = Ce^0

12 = C

Therefore, the particular solution is:

y = 12e^(-t/9000)

(b) To find the amount of salt in the tank after 20 minutes, we substitute t = 20 into the particular solution:

y = 12e^(-20/9000)

y ≈ 11.8767 kg (rounded to one decimal place)

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Answer:

r/9

Step-by-step explanation:

r/10+4-5

r/14-5

r/9

Hi, there.

 ______

\(\boldsymbol{\dfrac{r}{10}=4-5}\)

» Combine like terms

\(\boldsymbol{\dfrac{r}{10}=-1}\)

» Multiply both sides by 10.

\(\boldsymbol{r=-10}\)

Hope the answer - and explanation - made sense,

happy studying!!

To determine the poles and region of convergence (ROC) for the signal x[n] = {(1/3)^n cos(π/4n), n ≤ 0; 0, n > 0}, we need to take the Z-transform of the signal.

The Z-transform of x[n] is defined as X(z) = Σ[x[n] * z^(-n)], where Σ represents the summation over all values of n.

For n ≤ 0, x[n] = (1/3)^n * cos(π/4n).

Taking the Z-transform of x[n] for n ≤ 0:

X(z) = Σ[(1/3)^n * cos(π/4n) * z^(-n)].

Simplifying further, we have:

X(z) = Σ[(1/3)^n * cos(π/4n) / z^n].

The summation runs from n = -∞ to n = 0 since the signal x[n] is defined for n ≤ 0.

To determine the poles and ROC, we need to analyze the convergence properties of the Z-transform.

Poles:

The poles of X(z) are the values of z for which the Z-transform becomes infinite. In this case, the poles occur when the denominator of X(z) becomes zero.

For (1/3)^n * cos(π/4n) / z^n to be infinite, we need z^n to be zero. This happens when z = 0.

Therefore, the pole of X(z) is at z = 0.

ROC:

The ROC is the region in the complex plane where the Z-transform converges. It can be determined by examining the values of z for which the Z-transform converges absolutely.

Since the signal x[n] is a right-sided sequence (x[n] = 0 for n > 0), the ROC will be outside the outermost pole, which in this case is at z = 0.

Hence, the ROC for X(z) is the region outside the unit circle in the complex plane, |z| > 1.

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Step-by-step explanation:

Let x be the diagonal distance,

by pythagoras' theorem,

\( {c}^{2} = {a}^{2} + {b}^{2} \)

where c is the diagonal

a and b are the 2nd and 3rd longest side, interchangeable.

given a = 50m, b = 25m,

\( {c}^{2} = {50}^{2} + {25}^{2} \\ {c}^{2} = 2500 + 625 \\ {c}^{2} = 3125 \\ c = \sqrt{3125} \\ = 55.9m \: (nearest \: tenth)\)

kk where my brainliest

Step-by-step explanation:

Explanation: You can find the diagonal of a rectangle if you have the width and the height. The diagonal equals the square root of the width squared plus the height squared.

Therefore, the correct system of equations that models this situation is:

a = 1.5d

a = d + 4

An equation is a mathematical statement that shows that two expressions are equal. It typically contains variables, numbers, and mathematical symbols such as + (addition), - (subtraction), * (multiplication), / (division), and = (equal). Equations are used to solve problems and find unknown values of variables by manipulating the expressions on both sides of the equation. For example, the equation "x + 5 = 9" shows that the sum of x and 5 is equal to 9. By subtracting 5 from both sides of the equation, we can solve for x and find that x = 4.

by the question.

Let's start by setting up two equations, one for each piece of information given in the problem:

1.5d = a (Ashanti has been acting for 1.5 times as long as Diana has)

a = d + 4 (Ashanti has been acting for 4 years longer than Diana has)

We can then simplify the second equation by substituting the first equation for a:

1.5d = d + 4

Now we can solve for d:

0.5d = 4

d = 8

We can then use the first equation to solve for a:

a = 1.5d = 1.5(8) = 12

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( 2x − 27 ) ( −x + 15 )

= ( 2x + −27 ) ( −x + 15 )

= ( 2x ) ( −x ) + ( 2x ) ( 15 ) + ( −27 ) ( −x ) + ( −27 ) ( 15 )

= −2x^2 + 30x + 27x − 405

= −2x^2 + 57x − 405

Answer:

1 - y + y²

Step-by-step explanation:

1 + y³ is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²) , then

1 + y³

= (1 + y)(1² - 1(y) + y²) = (1 + y)(1 - y + y²)

Then

\(\frac{1+y^3}{1+y}\)

= \(\frac{(1+y)(1-y+y^2)}{1+y}\) ← cancel out the common factor (1 + y)

= 1 - y + y²

The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.

Therefore, the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.

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Answer:

D) -12

Step-by-step explanation:

\(3(x-4)+(2-x)-x^2\)

Replace X With 5

\(3(5-4)+(2)(5)-5^2\)

\(=-12\)

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To find the limit of cos(x)/(1-sin(x)) as x approaches (π/2)+, we can use l'Hospital's Rule.

First, we can take the derivative of both the numerator and denominator with respect to x: lim cos(x)/(1 − sin(x)) x → (π/2)+ = lim [-sin(x)/(cos(x))] / [-cos(x)] x → (π/2)+ = lim sin(x) / [cos(x) * cos(x)] x → (π/2)+

Now, plugging in (π/2)+ for x, we get: lim sin(π/2) / [cos(π/2) * cos(π/2)] x → (π/2)+ = 1 / (0 * 0) = undefined

Since the denominator approaches 0 as x approaches (π/2)+, and the numerator is bounded between -1 and 1, the limit does not exist.

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Answer: 2 solve this equation to find all possible values of the angle 3x.

Step-by-step explanation: just took test

We solve cos(3x) = -1 using the inverse cosine function. The simplest solution is x = π/3. Accounting for the periodicity of the cosine function, we find additional solutions in the interval from 0 to 2π, specifically x = π/3 and x = 4π/3.

In order to solve the equation cos(3x) = -1, we need to use inverse trigonometric equations and some algebraic manipulation.

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Answer:

$0

Step-by-step explanation:

      The chance of winning money is 2/6 -> 1/3, and sense 2/3 is larger than 1/3, we can conclude the expected value of a single roll is $0.

(I may be doing this problem wrong as I don't have context for what you're currently working on, but I hope this helps. Have a nice day!)

Answer:

1 dollar

Step-by-step explanation:

Because if u roll a six it gives you six dollars so how many rolls you roll you get that amount of money. :)

I hope im right :D

ANSWER

M = (4, 2)

EXPLANATION

We want to find the coordinates of the midpoint of the segment having endpoints T(3, 1) and U(5, 3)

We know that cordinates in 2 dimensions are given in the form:

A(x, y)

So, to find the midpoint, we have to add the two x cordinates from T and U and divide by 2 and then do the same for y.

In other words:

Therefore, the midpoint, M, is:

That is the midpoint

wwwwwwwwwwwwwwwwwwww

\(\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}\)

Given:

▪ \(\sf{f(x) = ( log(3x) - 2log(3))( {x}^{2} - 1) }\) \(\ \sf{x \in R}\)

Solve:

\(\longrightarrow \sf{f(x) = (log(3x) - 2log(3))( {x}^{2} - 1) = 0}\)

\(\small\longrightarrow \sf{ log(3x) - 2 log(3) = 0 \: \: or \: {x}^{2} - 1 = 0 }\)

\(\small\longrightarrow \sf{ log(3x) - 2 log(3) = 0}\)

\(\small\longrightarrow \sf{ log(3x) - 2 log(3) = 0}\)

\(\small\longrightarrow \sf{ log(3x) - log( {3}^{2} ) = 0}\)

\(\small\longrightarrow \sf{log_{10}( \dfrac{3x}{9} ) = 0}\)

\( \small\sf{ \Longrightarrow \dfrac{3x}{9} = {10}^{0} }\)

\(\small\longrightarrow \sf{ \dfrac{x}{3} = 1}\)

\(\small \sf{x= \underline{3}}\)

Next \(\downarrow\)

\(\small\longrightarrow \sf{{x}^{2} - 1 = 0}\)

\(\small\longrightarrow \sf{ {x}^{2} = 1}\)

\(\small\longrightarrow \sf{x = \pm \sqrt{1} }\)

\(\small\sf{x= (\underline{1},-1)}\)

\(\small\longrightarrow \sf{ log(3x) = log(3( - 1)) \cancel{ \in}R}\)

\(\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}\)

\(\small\bm{The \: \: roots \: \: of \: \: f(x) \: are \: 1 \: and \: 3.}\)

Answer:

56

Step-by-step explanation:

56 would be the arc. reasoning is because line CG form an arch of 56 and Angle A and C also form a angle of 34

Answer:

Its an equation, not an inequality

The area under the curve y = |x + 3| above the x-axis and between x = -6 and x = 0 is 9 units^2.

What is the area under the curve?

The area under a curve refers to the area between a curve and the -axis. This area could be entirely above the -axis, entirely below the -axis, or a combination of above and below the -axis. In calculus, the area under a curve is a visual representation of an integral.

The graph of y = |x + 3| is a piecewise linear function that starts at (3,0), increases linearly as x decreases to -3, reaches a maximum value of 3 at x = -3, and then decreases linearly as x decreases further to -6. The area under the curve y = |x + 3| above the x-axis and between x = -6 and x = 0 can be calculated by finding the area of two triangular regions. One triangular region is formed by the line y = x + 3 from x = -6 to x = -3 and the x-axis, and the other triangular region is formed by the line y = -(x + 3) from x = -3 to x = 0 and the x-axis. The area of each triangular region can be calculated using the formula 1/2 * base * height, and the total area is the sum of the areas of the two triangular regions.

So, The area under the curve y = |x + 3| above the x-axis and between x = -6 and x = 0 is 9 units^2.

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The width and length of the rectangle is 27 cm and 36 cm. respectively.

To solve the problem, we can use the Pythagorean theorem since the diagonal, width, and length of the rectangle form a right triangle. The Pythagorean theorem states that:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse (diagonal of the rectangle).

Let's denote the width of the rectangle as w, the length as l, and the diagonal as d. According to the problem, we have:
d = w + 18
l = w + 9

Substituting these equations into the Pythagorean theorem, we get:
(w + 9)² + w² = (w + 18)²

Expanding and simplifying the equation, we get:
w² - 18w - 243 = 0

We can solve for w by factoring the expression:
(w - 27)(w + 9) = 0

w = 27 or w = -9

The positive solution for w is 27. We can use this value to find the length of the rectangle:
l = w + 9
l = 27 + 9
l = 36

Therefore, the width of the rectangle is 27 cm, and the length of the rectangle is 36 cm.

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Since we are looking for a line parallel to TU, it will have the same slope of 1. Therefore, the answer is (A) 1.

In mathematics, slope is a measure of the steepness of a line. It is the ratio of the vertical change between two points on a line (the rise) to the horizontal change between the same two points (the run). The slope of a line can be positive, negative, zero, or undefined, and is often represented by the letter m.

Here,

The slope of the line that contains side TU can be found by using the slope formula:

slope = (change in y)/(change in x)

For the points T and U, the change in y is 2 and the change in x is 2, so the slope of TU is:

slopeTU = (2)/(2)

= 1

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Answer:

x = 24; x = 25

Step-by-step explanation:

Question 1

x/4 = 6

x = 24  *multiply both sides by the denominator to isolate the x value

Question 2

x/2 = 12.5

x = 25 *multiply both sides by the denominator to isolate x

To calculate the marginal cost, find the change in total cost when one additional unit is produced.

Variable Fixed Total Average Variable Average Total Marginal Cost

Cost Cost Cost

0 $30 $30 - - -

2 $30 $34 $17 $17 $4

5 $30 $47 $9.4 $9.4 $13

6 $30 $56 $9.3 $9.3 $9

8 $30 $78 $9.75 $9.75 $22

10 $30 $100 $10 $10 $22

12 $30 $132 $11 $11 $32

Note: To calculate the average variable cost, divide the total variable cost by the quantity produced. To calculate the average total cost, add the total variable cost and the total fixed cost and divide by the quantity produced. To calculate the marginal cost, find the change in total cost when one additional unit is produced.

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Answer:

11.25 (inches)

Step-by-step explanation:

Circumference = π X D (D = diameter = 2 X radius)

22.5π = πD

D = (22.5π)/π = 22.5.

radius = 22.5/2 = 11.25 (inches)