°The angle measurements in the diagram are represented by the following expressions.

Step-by-step explanation:

Mean= 13.4

Median= 13

Range= 11

Answer:

..

Step-by-step explanation:

muachhhhhhhhhh hhhhhhhhhhhhhhhhhh

Answer:

-10

Step-by-step explanation:

You find the fifth term by going down 3, five times from 5

5

1: 2

2: -1

3: -4

4: -7

5: -10

Answer:

(-3, 2).

Step-by-step explanation:

-8 -----> -8 + 5 = -3

-6 -----> -6 + 8 = 2.

For this problem, all you have to do is add 5 to the x-value and add 8 to the y-value of the Point R.

(-8, -6) --> (-8 + 5, -6 + 8) --> (-3, 2)

The required coefficient is 11,-4 and 0.

Given expression is,

\((4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)\)

we have to find the coefficient of the above expression.

ON solving the above expression,

\((4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)=4x^{2} y^{3} +2xy^2-2y+7x^2y^3-6xy^2+2y\)

\((4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)=11x^2y^3-4xy^2+0y\)

Hence from the above expression, it is clear that the coefficient of \(x^2y^3\) is 11,\(xy^2\) is -4 and \(y\) is 0.

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The new vector →u - →v is 〈 −10,5 〉. Hence, the correct option is (A) 〈 −10,5 〉.

Given vectors are →u = 〈 −6,−1 〉 and →v = 〈 4,−6 〉.We need to find the new vector →u − →v.Vector subtraction can be found by adding the additive inverse of the vector which we want to subtract. Therefore, the additive inverse of vector →v = 〈 4, −6 〉 is 〈 −4, 6 〉.Now, →u − →v  = →u + (−→v)  =  〈 −6,−1 〉 + 〈 −4,6 〉= 〈 −6−4,−1+6 〉 = 〈 −10,5 〉.Therefore, the new vector →u - →v is 〈 −10,5 〉. Hence, the correct option is (A) 〈 −10,5 〉.

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The indeterminant form to which the L'Hopital's Rule can be applied are 0/0 and ∞/∞ , the correct options are (d) and (f) .

L'Hopital's Rule in calculus is used to evaluate weird limits that result in indeterminate forms that are 0/0, ∞/∞ .  These types of limits

(a) cannot be calculated by direct substitution of limit and/or

(b) can be evaluated but using a very long procedure .

that means if \(\lim_{x \to a} \frac{f(x)}{g(x)}\) = 0/0  or ∞/∞ ,

then \(\lim_{x \to a} \frac{f(x)}{g(x)} = \lim_{x \to a} \frac{f'(x)}{g'(x)}\)

In the question ,

there are several indeterminant forms given which are  0.∞ ,  \(0^{0}\) , \(1^{\infty}\) , 0/0 ,  ∞ - ∞ , ∞/∞ ,  ∞⁰  .

By the definition of L'Hopital's Rule , the option that matches with the definition is 0/0 and ∞/∞ ,

So , the correct option is (d) 0/0 and (f) ∞/∞   .

Therefore , The indeterminant form to which the L'Hopital's Rule can be applied are 0/0 and ∞/∞ , the correct options are (d) and (f) .

The given question is incomplete , the complete question is

Select EVERY indeterminate form to which L'Hopital's Rule can be directly applied to (there may be more than one).

(a) 0.∞

(b) \(0^{0}\)

(c) \(1^{\infty}\)

(d) 0/0

(e) ∞ - ∞

(f) ∞/∞

(g) ∞⁰

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An equation in slope-intercept form for the line that passes through (9,12) and is parallel to y=4 is y= 4x -24.

What is Parallel lines?

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

Parallel lines will have the same slope but different y-intercepts  so again we can  use the coordinates to determine the y intercept of the new equation.

So we know that the slope intercept formula is y=mx + b where m is the slope and b is the y-intercept so we will input the x and y coordinates to solve for b.

12 = 4(9) + b

12 = 36 + b

b = -24

The equation will be y= 4x -24.

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Answer:

Step-by-step explanation:

Halves it ?

I don't really get what he wants but I guess he wants me to know that is "Cuts it in a half" basically.

We have proven that no two events a and b can be independent unless either a or b is the whole sample space or the empty set below.

A sample space can be defined as the set of all possible outcomes of any experiment.

We are already aware that the outcomes of this die are going to be (1,2,3,..p). If we have a pair of proper events A, B which are independent, this would mean that = A∩B={∅}  (i)

This is a contradiction. So, now we suppose that = A∩B=C, for some proper event C (ii)

Using the values of (i) and (ii), we get -

= |C|p=P(A∩B)=P(A)P(B)=|A||B|p2.

= p|C|=|A||B|.

From this, we understand that neither A nor B are going to be full spaces and hence, no two events a and b are independent and 0<|A|<p and 0<|B|<p. Since |C| is also going to be less than 0 and p is prime, p divides either |A| or |B|.  if p was not prime (say, p=4), then you would only need the factors of p to divide either |A|,|B|, so, it becomes necessary for p to be a prime number. Hence, proved.

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After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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Answer:

162

Step-by-step explanation:

Since the ratio is 3, the terms are 3 times the term before.

So the answer is 2*3^4 = 162

Answer:

10

Step-by-step explanation:

( 2 + 3 ) × 2

5 × 2 = 10

Answer:

10

Step-by-step explanation:

(a+b)2

(2+3)2

5(2)

10

Answer:

x = 46, y = 67

Step-by-step explanation:

x = ∠ AEC = 46 ( alternate angles )

Since Δ ACE is isosceles then the base angles are congruent, then

y = \(\frac{180-46}{2}\) = \(\frac{134}{2}\) = 67

Answer:

x=46° and y=67°

Step-by-step explanation:

triangle ACE is isosceles, meaning <A=<B=y

any triangle is add up to 180. <A+<B+<C=180

y+y+46=180

2y=180-46

2y=134

divide both sides by 2

y=134/2

y=67°

for angle x°

since AB is parallel to CD,hence

<AEC=<ECD

x=46°

Answer:

the polygons are similar bc they both share the same angles and DF is equal to AB and EF is equal to AC and DE is equal to BC

Step-by-step explanation:

8y + y + y + 8

10y + 8 or 2(5y + 4)

Answer:

10y+8

Step-by-step explanation:

y by itself is 1y

8y+1y+1y= 10y

8=8

10y+8

Answer:

The answer is A. x^-3

Answer:

The answer for that question is A

The number of student like at least one kind of ice cream is given by (d) 275.

Let C be the student who like chocolate ice cream and P be the student who like Pistachio ice cream.

Now given that, n(C) = 145, n(P) = 150

Also given that, 123 students do not like neither chocolate or pistachio ice cream.

So, n(P' and C') = 123

The required number of student like at least one kind of ice cream is given by,

N = 398 - n(P' and C') = 398-123 = 275

Hence the correct option is (d).

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The sample distribution for the sample proportion of individuals who have chosen cheese as their preferred pizza flavor is a binomial distribution.

Since we are dealing with a sample size of 30 and 36% of students chose cheese, the probability of success (p) is 0.36, and the probability of failure (q) is 0.64. Therefore, the sample distribution is given by:

\(p(x) = C(30, x) * 0.36^x * 0.64^{(30-x)}\)

Where x is the number of students who have chosen cheese as their preferred pizza flavor.

For example, \(p(10)\) would be the probability of 10 students out of 30 choosing cheese as their preferred pizza flavor.

Therefore, the sample distribution for the sample proportion of individuals who have chosen cheese as their preferred pizza flavor is a binomial distribution.

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Period of the functions: The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ). The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.

We know that cos (t) is periodic and has a period of 2π.∴ b = 2π∴ The period of the function f(t) =

(7 cos t)² = 2π/b = 2π/2π = 1.

The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ) Hence, the period of the function f(t) =

cos (2φt²/m) is √(4πm/φ).

The function f(t) = (7 cos t)² is a trigonometric function and it is periodic. The period of the function is given by 2π/b where b is the period of cos t. As cos (t) is periodic and has a period of 2π, the period of the function f(t) = (7 cos t)² is 2π/2π = 1. Hence, the period of the function f(t) = (7 cos t)² is 1.The function f(t) = cos (2φt²/m) is also a trigonometric function and is periodic. The period of this function is given by T = √(4πm/φ). Therefore, the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

The period of the function f(t) = (7 cos t)² is 1, and the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

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Answer:

the answer -69

Step-by-step explanation:

3 times 3 is 9

9 - 78 is - 69

Answer:

The answer should be -69

Step-by-step explanation:

With this equation you would use PEMDAS, so you would multiply before you subtract. 3 x 3 = 9 9 - 78 would be -69

True. The general solution to a third-order differential equation typically contains three arbitrary constants.

The general solution to a third-order differential equation must contain three constants. This is because the order of a differential equation refers to the highest derivative present in the equation. A third-order differential equation involves the third derivative of the unknown function.

When solving a differential equation, we typically find a general solution that encompasses all possible solutions to the equation. This general solution includes an arbitrary number of constants, depending on the order of the differential equation.

For a third-order differential equation, the general solution will contain three arbitrary constants. This is because each constant represents a degree of freedom in the solution, allowing us to accommodate a wide range of functions that satisfy the given differential equation.These constants can be determined by applying initial conditions or boundary conditions to the differential equation, which narrows down the solution to a particular function.

Therefore, when dealing with a third-order differential equation, it is expected that the general solution will contain three constants to account for the necessary degrees of freedom in constructing the solution.

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The positive value of c that makes the function f(x) = xe^(-x)ce^(-x) have an absolute minimum at x = -5 is approximately 16.05.

To find the value of c that gives an absolute minimum at x = -5, we need to analyze the behavior of the function. First, we differentiate f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -x^2e^(-2x)ce^(-x). Setting f'(x) = 0 and solving for x, we find x = 0 as a critical point.

However, we are interested in finding the value of c that results in an absolute minimum at x = -5. Plugging x = -5 into f(x), we get f(-5) = -5e^(5)c^(-5)e^(5). Since e^5 is positive, to minimize f(-5), c should be as large as possible. Taking the limit as c approaches infinity, we find that f(-5) approaches 0.

Therefore, c should be a large positive value. Calculating the exact value, we find c ≈ 16.05 gives an absolute minimum at x = -5 for the function f(x).

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Prince George's County is situated in the east-central region of Maryland, United States of America. It's possible for Prince George's County to experience a tsunami or earthquake in light of what is known about tsunamis and earthquakes. Although it is improbable to have tsunamis and earthquakes in Prince George's County, they can still occur.

A tsunami is a huge wave that is triggered by seismic waves or underwater disturbances. It has the potential to cause significant damage, including death. Tsunamis have affected the east coast of the United States before. Nonetheless, these occurrences are rare and often occur on the West Coast.

An earthquake is a phenomenon that occurs when tectonic plates beneath the earth's surface shift or move. It may cause shaking, displacement, and even soil liquefaction, resulting in significant harm. Earthquakes are uncommon in Prince George's County, but they can occur.

A tsunami or earthquake is unlikely to occur in Prince George's County. However, as a result of climate change, we are seeing more extreme weather events. Climate change could raise the likelihood of tsunamis or earthquakes occurring in the future. Nevertheless, the probability of them occurring is still very low.

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Functions f(x) and g(x) are transformed logarithmic functions

The equation that represents function g(x) is \(g(x) = \log(x + 1) + 4\)

The equation of function f(x) is given as:

\(f(x) = \log(x)\)

From the graph, the function f(x) is translated 1 unit left.

So, we have:

\(f'(x) = \log(x + 1)\)

Next, the function is translated 4 units up.

So, we have:

\(f'(x) = \log(x + 1) + 4\)

Rewrite as:

\(g(x) = \log(x + 1) + 4\)

Hence, the equation that represents function g(x) is \(g(x) = \log(x + 1) + 4\)

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AnswerProbability = the number of wanted outcomes/the number of possible outcomes

The probability of drawing a green marble is  

number of green marbles/ total number of marbles in the bag

7/16

If you replace the marble each time, each time your chance of drawing green is 7/16.  If this is done 3 times, the probability is

(7/16)(7/16)(7/16) = 0.084

For not replacing green, there is no impact on the first draw, the probability of getting green on the first draw is still 7/16. If you do not replace, this means that there are no longer 16 marbles in the bag for the second draw, there are now 15.  And since you already drew one green one, there are no longer 7 green ones, there are now 6.  So probability for green on the second draw is 6/15.  If you draw a 3rd time and there isn't replacement,  there are no longer 15 marbles in the bag for the second draw, there are now 14. And since you already drew one green one, there are no longer 6 green ones, there are now 5. So probability for green on the third draw is 5/14.  Combining the 3 draws together:

(7/16)(6/15)(5/14) = 0.063

The probability of drawing 3 with replacement is higher than without.:

Answer: 120 miles

Step-by-step explanation:

If a car goes 60 miles per hour then in two hours (60×2) it will go 120

Answer:

Step-by-step explanation:

True.

An enumerator is a special data type in some programming languages that allows us to give names to integer values, making the code more readable and easier to maintain.

However, an enumerator cannot be directly assigned to an int variable because they are not compatible data types. An int variable can only store integer values, while an enumerator is a named constant that represents an integer value.

To assign an enumerator to an int variable, we need to explicitly cast the enumerator to an int using type conversion.

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If the test statistic is -3.11, it means that the observed data is 3.11 standard deviations below the mean of the null distribution.

Since 2.36 is in the rejection region, it means that the critical value for the test is greater than 2.36 in absolute value. This implies that the null hypothesis would be rejected if the test statistic is either less than the negative critical value or greater than the positive critical value.

However, since the test statistic of -3.11 is smaller than the negative critical value, we would fail to reject the null hypothesis. This means that we would conclude that there is not enough evidence to support the alternative hypothesis and we accept the null hypothesis. Therefore, we would have made an incorrect decision if we rejected the null hypothesis based on the given information.

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