apple watch costs $325. There is an 8% sales tax rate. What is the total amount of tax in dollars and cents?

In the given situation the required third-degree polynomial will be C(x + 3)(x2 + 1) = 8.

The only operations used in a polynomial are addition, subtraction, multiplication, and non-negative integer exponentiation.

In mathematics, variables are occasionally referred to as indeterminates.

An example of a polynomial with a single variable x is x2 4x + 7.

When "a" is not equal to zero, a third-degree polynomial has the form p(x) = ax3 + bx2 + cx + d.

Given that it has degree 3, it is also known as a cubic polynomial.

Example: As the expression's highest degree or the power of the leading term is 3, 5x3 + 2x2 + 3x + 7 is a cubic polynomial or third-degree polynomial.

Using the formula f(x) = 8, get C as follows:

C(x + 3)(x2 + 1) = 8

Therefore, in the given situation the required third-degree polynomial will be C(x + 3)(x2 + 1) = 8.

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$0.38×192=$72.96

So the answer is $72.96

A hypothesis test should be used. Specifically, a one-tailed independent samples t-test is suitable for this purpose.

In a one-tailed test, the hypothesis is formulated with a specific direction, in this case, the expectation that the mean time for non-schizophrenics is less than the mean time for schizophrenics. The null hypothesis (H0) would state that there is no difference or that the mean time for non-schizophrenics is equal to or greater than the mean time for schizophrenics. The alternative hypothesis (Ha) would state that the mean time for non-schizophrenics is less than the mean time for schizophrenics.

The t-test is appropriate because it compares the means of two independent groups (schizophrenics and non-schizophrenics) and determines if the observed difference in means is statistically significant. The t-test takes into account the sample sizes, standard deviations, and the differences between the means to calculate a t-statistic and a p-value. The p-value indicates the likelihood of observing the given difference in means if the null hypothesis were true. If the p-value is sufficiently small (below a predetermined significance level), the null hypothesis is rejected in favor of the alternative hypothesis, supporting the theory that the mean time on the test for non-schizophrenics is less than the mean for schizophrenics.

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Answer:

I believe it's 20 seconds.

Three problems would arise if the frequency of scrum was lowered to every two or three days.

(A) There may be missed opportunities to examine and amend the sprint backlog.

(B) The Sprint strategy deteriorates; barriers are raised and taken down more slowly.

(C) Too much time is spent updating the scrum board prior to meetings.

Scrum is a project management framework that was initially focused on software development, while it has now been applied to other areas such as research, sales, marketing, and cutting-edge technology.

It is intended for groups with ten or fewer members who divide their work into tasks that can be finished in sprints, which are time-boxed iterations that can be done in as little as one month and most frequently two weeks.

If the frequency was reduced to every two or three days, there would be three issues.

(A) The chances to review and modify the Sprint Backlog may be missed.

(B) The Sprint plan becomes imprecise; obstacles are raised and removed more slowly.

(C) Too much time is spent before meetings updating the scrum board.

Therefore, three problems would arise if the frequency was lowered to every two or three days.

(A) There may be missed opportunities to examine and amend the sprint backlog.

(B) The Sprint strategy deteriorates; barriers are raised and taken down more slowly.

(C) Too much time is spent updating the scrum board prior to meetings.

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The rule of the perimeter of the square is

L is the length of its side

Since the perimeter is 11 times the length decrease by 35

Then multiply L by 11, then subtract 25 from the product

Substitute the value of P in the rule above

Add 35 to both sides

Now, subtract 4L from both sides

Divide both sides by 7

The length of the side of the square is 5 units

Dividing the number by 2 gives half of the number which is less than the original number.

Given that,
To specify dividing by 2 always produces a number less than the original number.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Dividing the number by 2 gives half of the number which is less than the original number.
Let the number be x,
Dividing the number by 2
Gives, x / 2 = 0.5 * x
Imply,
Dividing the number by 2 gives half of the number which is less than the original number.

Thus, dividing the number by 2 gives half of the number which is less than the original number.

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Answer:

c

Step-by-step explanation:

cause R+S=180 which is supplementary then we subtract from both side R and it will be S=180-28=152

Answer:

C. 152º

Step-by-step explanation:

Supplementary angles add up to 180º

so that means...

Angle R + Angle S = 180

28 + x = 180

When we do 180 - 28 = 152º

Therefore the final answer is C, 152º

Answer:

\(\dfrac{3}{2\cos\theta - r\sin\theta}\)

Step-by-step explanation:

The polar coordinate system uses two parameters r and θ where r is the magnitude of the radius of the circle in polar form(also known as the radial coordinate) and θ  the angle which the which the radius makes relative to the x=axis

The following equations are used to convert from cartesian coordinate to polar coordinates

\(r = \sqrt{x^2 + y^2}\\\\\\x = r\cos\theta\\\\y= r\sin\theta\\\\\)

Substituting for x and y in terms of r and θ into the equation 2x - 3y = 3 gives

\(2x - y = 3\\\\2r\cos\theta - r\sin\theta = 3\\\\r(2\cos\theta - r\sin\theta = 3\\\\r = \dfrac{3}{2\cos\theta - r\sin\theta}\)

To determine the correct probability, we need additional information about the specific event or condition for which the probability is being calculated.

The given information provides the counts of elements within the circles and their overlaps but does not specify the event or condition of interest.Probabilities are calculated by dividing the favorable outcomes by the total possible outcomes. Without knowing the specific event or condition, we cannot determine the favorable outcomes or the total possible outcomes, and hence cannot calculate the probabilities accurately.Please provide additional context or specify the event for which the probability is required, and I will be glad to assist you further in calculating the correct probability using the given Venn diagram information.

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We need to solve the s varibale for the given equation:

Hence, s=32

Answer:

4x-2y=8

or, 4x = 8+2y

or x = 8+2y/4-----(eq.1)

2x-3y=12-----(eq.2)

Now,

putting value of eq.1 in eq.2, we get

2x-3y=12

or, (8+2y/4)-3y = 12

or, 8-10y/4=12

or, 8-10y=12×4

or,8-10y=48

or,-10y=48-8

or,y=40/-10

or, y = -4

again,

2x-3y=12

or, 2x-3×-4=12

or, 2x+12=12

or, x=0

In 1st option

4x-2y=8

or,4×0-2×-4=8

or,0+8=8

8=8

2x-3y=12

2×0-3×-4=12

0+12=12

12=12

So 1st option is true

Answer:

Falso.

Step-by-step explanation:

Sea \(d = \frac{a}{b}\) un número racional, donde \(a, b \in \mathbb{R}\) y \(b \neq 0\), su opuesto es un número real \(c = -\left(\frac{a}{b} \right)\). En el caso de elevarse a un exponente dado, hay que comprobar cinco casos:

(a) El exponente es cero.

(b) El exponente es un negativo impar.

(c) El exponente es un negativo par.

(d) El exponente es un positivo impar.

(e) El exponente es un positivo par.

(a) El exponente es cero:

Toda potencia elevada a la cero es igual a uno. En consecuencia, \(c = d = 1\). La proposición es verdadera.

(b) El exponente es un negativo impar:

Considérese las siguientes expresiones:

\(d' = d^{-n}\) y \(c' = c^{-n}\)

Al aplicar las definiciones anteriores y las operaciones del Álgebra de los números reales tenemos el siguiente desarrollo:

\(d' = \left(\frac{a}{b} \right)^{-n}\) y \(c' = \left[-\left(\frac{a}{b} \right)\right]^{-n}\)

\(d' = \left(\frac{a}{b} \right)^{(-1)\cdot n}\) y \(c' = \left[(-1)\cdot \left(\frac{a}{b} \right)\right]^{(-1)\cdot n}\)

\(d' = \left[\left(\frac{a}{b} \right)^{-1}\right]^{n}\)y \(c' = \left[(-1)^{-1}\cdot \left(\frac{a}{b} \right)^{-1}\right]^{n}\)

\(d' = \left(\frac{b}{a} \right)^{n}\) y \(c = (-1)^{n}\cdot \left(\frac{b}{a} \right)^{n}\)

\(d' = \left(\frac{b}{a} \right)^{n}\) y \(c' = \left[(-1)\cdot \left(\frac{b}{a} \right)\right]^{n}\)

\(d' = \left(\frac{b}{a} \right)^{n}\) y \(c' = \left[-\left(\frac{b}{a} \right)\right]^{n}\)

Si \(n\) es impar, entonces:

\(d' = \left(\frac{b}{a} \right)^{n}\) y \(c' = - \left(\frac{b}{a} \right)^{n}\)

Puesto que \(d' \neq c'\), la proposición es falsa.

(c) El exponente es un negativo par.

Si \(n\) es par, entonces:

\(d' = \left(\frac{b}{a} \right)^{n}\) y \(c' = \left(\frac{b}{a} \right)^{n}\)

Puesto que \(d' = c'\), la proposición es verdadera.

(d) El exponente es un positivo impar.

Considérese las siguientes expresiones:

\(d' = d^{n}\) y \(c' = c^{n}\)

\(d' = \left(\frac{a}{b}\right)^{n}\) y \(c' = \left[-\left(\frac{a}{b} \right)\right]^{n}\)

\(d' = \left(\frac{a}{b} \right)^{n}\) y \(c' = \left[(-1)\cdot \left(\frac{a}{b} \right)\right]^{n}\)

\(d' = \left(\frac{a}{b} \right)^{n}\) y \(c' = (-1)^{n}\cdot \left(\frac{a}{b} \right)^{n}\)

Si \(n\) es impar, entonces:

\(d' = \left(\frac{a}{b} \right)^{n}\) y \(c' = - \left(\frac{a}{b} \right)^{n}\)

(e) El exponente es un positivo par.

Considérese las siguientes expresiones:

\(d' = \left(\frac{a}{b} \right)^{n}\) y \(c' = \left(\frac{a}{b} \right)^{n}\)

Si \(n\) es par, entonces \(d' = c'\) y la proposición es verdadera.

Por tanto, se concluye que es falso que toda potencia que se obtiene de elevar a un mismo exponente un número racional y su opuesto es la misma.

Solution:

Given:

To subtract the numbers,

Therefore, the answer is 9.32

The correct statements are:

ln( yx​)= ln(y)ln(x)​

log 5​(xy)=log 5​(x)⋅log 5​(y)

log 2​( yx​)=log 2​(x)−log 2​(y)

log 4​(xy)=log 4​(x)+log 4​(y)

The true statements from the given options are:

1. ln( yx​) = ln(y)ln(x) (This is the property of logarithms known as the power rule for natural logarithms.)

2. log 5​(xy) = log 5​(x)⋅log 5​(y) (This is the product rule for logarithms with base 5.)

3. log 2​( yx​) = log 2​(x)−log 2​(y) (This is the quotient rule for logarithms with base 2.)

4. log 4​(xy) = log 4​(x)+log 4​(y) (This is the product rule for logarithms with base 4.)

Therefore, the true statements are:

ln( yx​)= ln(y)ln(x)​

log 5​(xy)=log 5​(x)⋅log 5​(y)

log 2​( yx​)=log 2​(x)−log 2​(y)

log 4​(xy)=log 4​(x)+log 4​(y)

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Answer:

x = \(\sqrt{145}\)

Step-by-step explanation:

Use pythagorean theorem.

17^2 - 12^2 = x^2

145 = x^2

x = \(\sqrt{145}\)

Answer:

i think it means to just plot j at -6 on the x axis and 1 up on y axis

Answer:

Step-by-step explanation:

J has coordinates ( 6, 1) when reflected over the x-axis

(x, y) reflected over x-axis becomes ( x, -y)

J' has the coordinates ( 6, -1)

Step-by-step explanation:

Given

f(x) = 2x - 10

f^-1(x) = ?

Now

Let y = f(x)

y = 2x - 10

Interchanging the roles of x and y we get,

x = 2y - 10

x + 10 = 2y

y =(x + 10) / 2

f^-1(x) = (x + 10)/ 2

Hope it will help :)❤

Answer:

A

x= 3/x

Step-by-step explanation:

5kx + 6 = 7kx

collect like term

5kx - 7kx = -6

-2kx = -6

minus cancel out

=> 2kx = 6

divide bothside by 2k

=> x = 6/2k

=> x = 3/k

Answer:

Step-by-step explanation:

its A just trust :)

The expected value of the die roll is 2.47.  Finding the value of kProbability is the measure of the likelihood of an event taking place. The sum of the probability of all events occurring must equal one, otherwise, the set of events would be incomplete, which is not possible.

Therefore, we have 0.28 + k + 0.15 + 0.3 = 1 where k is the probability of getting 2 on the die.Solving for k:k = 1 - 0.28 - 0.15 - 0.3k = 0.27Therefore, the value of k is 0.27. b. Calculating the expected valueThe expected value of the die roll is the sum of each score multiplied by its probability of occurrence. This is also called the mean of the probability distribution, given by: E(X) = ΣxP(x)where X is the random variable and P(x) is the probability of X being equal to x.Using the given table of probabilities:E(X) = 1(0.28) + 2(0.27) + 3(0.15) + 4(0.3)E(X) = 0.28 + 0.54 + 0.45 + 1.2E(X) = 2.47Therefore, the expected value of the die roll is 2.47.

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In the casino game of the given options the probability of being ahead is greater than 1/3 when n = 50 .

Let us calculate the probability using normal distribution for the following   options at the various sample .

at n= 250

Sample size , n =  250        

Probability of the event of winning each play p = 0.48        

Mean = np =   120        

standard deviation  = σ = √np(1-p) = 7.8994                

P(X >   125  ) = P(X >  125.5)

Z=(X - µ ) / σ =  (125.5-120)/7.8994)=   0.696

=P(Z >0.696 ) =     0.24

now let us calculate for n= 1000

Probability of the event of winning each play p = 0.48        

Mean = np =     480        

standard deviation = σ = √np(1-p) = 15.7987                    

P(X > 500 ) = P(X >    500.5)

Z=(X - µ ) / σ =   (500.5-480)/15.7987)=  1.298

=P(Z > 1.298  ) =  0.0972

now let us calculate for n=  50        

Probability of the event of winning each play p = 0.48        

Mean = np =  24        

standard deviation  = σ = √np(1-p) = 3.5327                  

P(X >  25  ) = P(X >  25.5)

Z=(X - µ ) / σ =   (25.5-24)/3.5327)=  0.425

=P(Z > 0.425    ) =   0.3356

Therefore the probability of being ahead is greater than 1/3 when n=50 .

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Answer:

it is the product of the independent and dependent variables

Step-by-step explanation:

I took a quiz and got that answer right

The constant of variation for an inverse variation relationship is always a fixed value.

Inverse variation is a relationship between two variables where an increase in one variable results in a decrease in the other variable, while a decrease in one variable results in an increase in the other variable.

Mathematically, this relationship is expressed as y = k/x, where k is the constant of variation.

The constant of variation represents the ratio of the two variables in the inverse variation relationship. It is a fixed value because it remains the same regardless of the values of the variables.

For example, if y varies inversely with x, and y = 4 when x = 2, then the constant of variation is k = xy = 4(2) = 8. This means that y will always be equal to 8/x in this inverse variation relationship.

Therefore, the constant of variation for an inverse variation relationship is always a fixed value, and it represents the ratio between the two variables in the relationship.

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The equation in terms of x (rs) is rs + 3 * rs = 32. By solving this equation, we found that rs = 8 and st = 24.

To find rs and st, we need to write an equation in terms of x using the given information and then solve for x.

Let's suppose that rs and st are two line segments, and x represents the length of rs. To find the lengths of rs and st, we can set up an equation based on the given information.

From the problem, we know that the length of st is three times the length of rs. This can be expressed as:

st = 3 * rs

Additionally, the total length of rs and st is 32 units. Mathematically, this can be represented as:

rs + st = 32

Now, we can substitute the value of st from the first equation into the second equation:

rs + 3 * rs = 32

Simplifying this equation, we have:

4 * rs = 32

To solve for rs, we divide both sides of the equation by 4:

rs = 32 / 4

rs = 8

Hence, we have found that rs is equal to 8 units.

To find the length of st, we can substitute the value of rs into the first equation:

st = 3 * rs

st = 3 * 8

st = 24

Therefore, the length of st is 24 units.

In summary, the equation in terms of x (rs) is rs + 3 * rs = 32. By solving this equation, we found that rs = 8 and st = 24.

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Therefore, the ratio of the volumes of the two similar triangular prisms is approximately 1.25.

To find the ratio of the corresponding side lengths of the perimeters of the corresponding faces, we can take the square root of the ratio of the areas of the faces.

Given:

Area of first face = 49 cm²

Area of second face = 25 cm²

The ratio of the areas is:

49 cm² / 25 cm² = 1.96

Taking the square root of this ratio gives us the ratio of the corresponding side lengths:

√1.96 ≈ 1.4

Therefore, the ratio of the corresponding side lengths of the perimeters of the corresponding faces is approximately 1.4.

Now, let's find the ratio of the volumes of the two similar triangular prisms. Since the volumes of similar objects are proportional to the cubes of their corresponding side lengths, we can take the cube root of the ratio of the areas to find the ratio of the volumes.

The ratio of the volumes is:

∛(49 cm² / 25 cm²) = ∛1.96

≈ 1.25

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It is necessary to imagine the sum of the areas between each z-score and the average.

Given as the ratio of the area under the normal curve between two z-scores, both above average.

The  Z score accurately measures the number of standard deviations above or below the mean of the data points.

The formula for calculating the z-score is

z = (data points – mean) / (standard deviation).

It is also expressed as z = (x-μ) / σ.

Therefore, to find the percentage of the area under the normal curve between two z-scores, both above the mean, you need to look at the sum of the areas between the z-score and the mean.

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Answer:

44

Step-by-step explanation:

Add 7 each time

23 + 7 = 30

30 + 7 = 37

37 + 7 = 44

The average weight of the sled team members is 77.5

Average value can be calculated by finding the  sum of a set of numbers  then count the total number, then divide the sum with the  number of the counted values.

To calculate the average weight of the sled team members, then we know that there are  11 dogs and the musher, which implies that there are total number of 12 animals.

Then we can find the total number of the dogs as (11*70) =770 dogs, then we can add to the musher which makes the total number of (770+160)=930

Then the average weight of the sled team members is \(\frac{930}{12} =77.5\)

Therefore, option D is correct.

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Answer:

A. (3, 8) and \(2\sqrt{2}\)

B. (2, 4) and \(2\sqrt{10}\)

Step-by-step explanation:

Midpoint formula: \((\frac{x1+x2}{2} ,\frac{y1+y2}{2})\)

Distance formula: \(\sqrt{(x_{2}-x_{1}) ^2+(y_{2}-y_{1}) ^2 }\)

A. plug in the points in the formulas

(4, 7) and (2, 9)

Midpoint:

\((\frac{4 + 2}{2} , \frac{7+9}{2} )=6/2, 16/2 = (3,8)\)

Length:

\(\sqrt{(2-4)^2+(9-7)^2}=\sqrt{4+4} =\sqrt{8} =2\sqrt{2}\)

B.

(5, 5) and (-1, 3)

Midpoint:

\((\frac{5-1}{2} , \frac{5+3}{2} )=4/2,8/2=(2,4)\)

Length:

\(\sqrt{(-1-5)^2+(3-5)^2} =\sqrt{-6^2+-2^2} =\sqrt{36+4} =\sqrt{40} = 2\sqrt{10}\)

Can you consider marking my answers as brainliest lol it would mean a lot. Hope this helped.

Given

Answer

Which is triangle 2