pls help!!!!!!!!!

Which graph represents the function of f(x) = the quantity of 4 x squared minus 4 x minus 8, all over 2 x plus 2?

Answer:

The population is everyone listed in the city phone directoy; the sample is the 75 people selected

Step-by-step explanation:

The situation could yield variable data, and Variable data. How many pounds of recyclables trash does each household generate? ​this option is with the best statistical question. The town council members want to know how much recyclable trash a typical household in town generates each week.

Hence, the correct option is D.

Because

Hence, the correct option is D.

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The solution is Option C.

The L'Hopital's rule is applied to the equation lim x approaches 0 (1-cosx)/x

L'Hopital's rule then states that the slope of the curve when t = c is the limit of the slope of the tangent to the curve as the curve approaches the origin, provided that this is defined. The limit of a quotient of functions (i.e., an algebraic fraction) is equal to the limit of their derivatives.The tangent to the curve at the point [g(t), f(t)] is given by [g′(t), f′(t)]

And , lim x approches c  [ f ( x ) / g ( x ) ] = lim x approches c [ f' ( x ) / g' ( x ) ]

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

The equation is A = lim x approaches 0 (1/x)

On simplifying the equation , we get

The limit diverges as the function diverges and limit does not exist

And ,  lim x approaches 0₊ (1/x) ≠ lim x approaches 0₋ (1/x) = ∞

b)

The equation is A = lim x approaches 0 ( 2x² - 1 ) / ( 3x - 1 )

On simplifying the equation , we get

when x = 0 ,

Substitute the value of x = 0 in the limit , we get

A = ( 2 ( 0 )² - 1 ) / ( 3 ( 0 ) - 1 )

A = ( 0 - 1 ) / ( 0 - 1 )

A = 1

c)

The equation is A = lim x approaches 0 ( 1 - cosx ) / x

On simplifying the equation , we get

Applying L'Hopital's rule , we get

lim x approches c  [ f ( x ) / g ( x ) ] = lim x approches c [ f' ( x ) / g' ( x ) ]

f ( x ) = ( 1 - cos x )

g ( x ) = x

f' ( x ) = sin x

g' ( x ) = 1

So ,

lim x approches 0 [ f' ( x ) / g' ( x ) ] = lim x approches 0 ( sin x / 1 )

when x = 0

sin ( 0 ) = 0

Therefore , the value of lim x approaches 0 (1-cosx)/x = 0

d)

The equation is A = lim x approaches 0 ( cos 2x ) / 2

On simplifying the equation , we get

when x = 0 ,

A = cos ( 2 ( 0 ) / 2

A = cos ( 0 ) / 2

A = 1/2

Hence , the L'Hopital's rule is applied to lim x approaches 0 ( 1 - cosx ) / x

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Answer: 22.4$

Step-by-step explanation:

21 divided by 0.75 is 28 28 x 0.8 is 22.4

Answer:

Both answers are 47 degrees

Step-by-step explanation:

1. This is an isosceles triangle so the angle x is going to be the same as the opposite angle given which is 47. So x = 47 degrees

2. For this one, we are given the angle outside the same base angles so we take the 86 given from 180. 180-86=94. This 94 needs to be split between the two remaining angles so we divide it by 2. 94/2 = 47 degrees.

Answer:

The appropriate answer is "10,455.29856".

Step-by-step explanation:

According to the question,

The time will be:

⇒  t = \(2022-2017\)

⇒    = \(5\)

On applying formula, we get

⇒ \(f(t)=25000(1-.16)^t\)

On substituting the value of "t", we get

⇒ \(f(5)=25000(1-.16)^5\)

⇒         \(=25000(0.84)^5\)

On solving the power, we get

⇒         \(=25000\times 0.4182119424\)

⇒         \(=10,455.29856\)

A beverage company has decided to manufacture a new juice with mixed flavors, which is prepared from orange and pineapple. The vitamin contents are 5% of vitamin A and 2% of vitamin C in the orange flavor, while pineapple flavor contains 8% of vitamin C.

The company's policies are to add at least 20 L of orange flavor to the new juice and limit the vitamin C content to no more than 5%. The cost of orange flavor is $1000 per liter, while the cost of pineapple flavor is $400 per liter.To satisfy a minimum demand of 100 L of juice, we must determine the optimal amount of each flavor to use.A) A linear programming model is needed for the company to solve this problem (Minimize production cost of the new juice)B) Use a graphic solution for this problem.The objective function of the optimization problem can be given as:min C = 1000x + 400yThe constraints that the company has are,20x + 0y ≥ 100x + y ≤ 5x ≥ 0 and y ≥ 0The feasible region can be identified by graphing the inequality constraints on a graph paper. Using a graphical method, we can find the feasible region, and by finding the intersection points, we can determine the optimal solution.The graph is shown below; The optimal solution is achieved by 20L of orange flavor and 80L of pineapple flavor, as indicated by the intersection point of the lines. The optimal cost of producing 100 L of juice would be; C = 1000(20) + 400(80) = $36,000.C) If the company decides that the juice should have a vitamin C content of no more than 7%, it would alter the problem's constraints. The new constraint would be:x + y ≤ 7Dividing the equation by 100, we obtain;x/100 + y/100 ≤ 0.07The objective function and the additional constraint are combined to create a new linear programming model, which is solved graphically as follows: The feasible region changes as a result of the addition of the new constraint, and the optimal solution is now achieved by 20L of orange flavor and 60L of pineapple flavor. The optimal cost of producing 100 L of juice is $28,000.

In conclusion, the optimal amount of each flavor that should be used to satisfy a minimum demand of 100 L of juice is 20L of orange flavor and 80L of pineapple flavor with a cost of $36,000. If the company decides that the juice should have a vitamin C content of no more than 7%, the optimal amount of each flavor is 20L of orange flavor and 60L of pineapple flavor, with a cost of $28,000.

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The equation in the vertex form will be y = (x + b/2a)² - b²/4a² + c/a and the equation in the standard form will be ax² + bx + c = 0.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

Convert the standard equation into a vertex form, then we have

x² + (b/a)x + (c/a) = 0

x² + (b/a)x + b²/4a² - b²/4a² + c/a = 0

(x + b/2a)² - b²/4a² + c/a = 0

Put h = - b/2a and k = - b²/4a² + c/a, where (h, k) be the vertex of the parabola. Then the equation will be

(x - h)² + k = 0

The function written in vertex form will be y = (x - h)² + k and in the standard form will be ax² + bx + c = 0.

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Answer:

Calculating Growth Rates. The annual percentage growth rate is simply the percent growth divided by N, the number of years. ... The population of Lane County grew 12 percent between 1980 and 1990 or at an rate of 1.2 percent annually.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

(3^4)^4

this is the same as 3^(4x4)

3^16

3^8x3^8

since they are the same base just add the exponent to get

3^16

To find the radius and interval of convergence of the series Σ Ĉₙ(x - 2)^(n² + 1), we will use the ratio test to determine the radius of convergence and then check the convergence at the endpoints of the interval.

The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges.

If the limit is greater than 1 or does not exist, the series diverges.

Let's apply the ratio test to our series:

We calculate the ratio:

R = lim (n→∞) |(Ĉ_(n+1)(x - 2)^((n+1)² + 1))/(Ĉ_n(x - 2)^(n² + 1))|.

Simplifying the ratio:

R = lim (n→∞) |(Ĉ_(n+1))/(Ĉ_n)| * |(x - 2)^((n+1)² + 1))/(x - 2)^(n² + 1)|.

Next, we simplify the exponent:

((n+1)² + 1) - (n² + 1) = n² + 2n + 1 + 1 - n² - 1 = 2n + 1.

The ratio becomes:

R = lim (n→∞) |(Ĉ_(n+1))/(Ĉ_n)| * |(x - 2)^(2n + 1)/(x - 2)^(n² + 1)|.

Simplifying further:

R = lim (n→∞) |(Ĉ_(n+1))/(Ĉ_n)| * |(x - 2)^(2n + 1 - n² - 1)|.

R = lim (n→∞) |(Ĉ_(n+1))/(Ĉ_n)| * |(x - 2)^(2n - n²)|.

Now, we want to find the conditions for R to be less than 1, which ensures convergence of the series.

Since we are interested in the radius of convergence, we set R < 1:

|(Ĉ_(n+1))/(Ĉ_n)| * |(x - 2)^(2n - n²)| < 1.

We need to consider the cases for the ratio (Ĉ_(n+1))/(Ĉ_n):

Case 1:

If lim (n→∞) |(Ĉ_(n+1))/(Ĉ_n)| exists and is nonzero:

In this case, we have:

|(Ĉ_(n+1))/(Ĉ_n)| * |(x - 2)^(2n - n²)| < 1.

Since (x - 2)^(2n - n²) approaches zero as n approaches infinity only when |x - 2| < 1, the radius of convergence in Case 1 is R = 1

Case 2: If lim (n→∞) |(Ĉ_(n+1))/(Ĉ_n)| is zero or infinity:

In this case, we have:

lim (n→∞) |(Ĉ_(n+1))/(Ĉ_n)| * |(x - 2)^(2n - n²)|.

If the limit exists and is nonzero, we have:

lim (n→∞) |(Ĉ_(n+1))/(Ĉ_n)| * |(x - 2)^(2n - n²)| < 1.

The radius of convergence in Case 2 is R = ∞.

Therefore, the series converges when |x - 2| < 1, and the radius of convergence is R = 1.

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Answer:

5x+10=30

Step-by-step explanation:

sorry, it does not have any works/steps in forming this equation.

Solving equation(if needed):

5x+10=30

5x=20

x=4

Answer: you can count by fives 5,10 15,20,25,30

Step-by-step explanation:

Since the tallest man is a lone individual, he can only take a seat in the center. The four other men can sit in 4! = 24 different positions.

We'll take pictures of five people standing in a row, all of varying heights. The tallest individual must be in the middle, so. A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The likelihood that an event will take place. the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally likely alternatives that result in a given occurrence. Probability is a measure of the likelihood that an event will occur or the likelihood that something will happen. If we throw a coin into the air,

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Answer:

She a THICCCCCCCCCCCCCCCCCCCCCCC Gurl

Step-by-step explanation:

LOLLLL

Tc-99m has a physical half-life of about 6 hours. This means that the amount of Tc-99m in the vial will decrease by half every 6 hours due to radioactive decay. The time between 8:00 and 9:30 is 1.5 hours, which is 1.5/6 = 0.25 of a half-life. Therefore, at 9:30, the amount of Tc-99m in the vial will be 59.3 * (1/2)^0.25 ≈ 52.7 mCi.

Since the concentration of Tc-99m in the vial is uniform, the volume of Tc-99m MDP solution needed to obtain a dose of 25 mCi can be found using the proportion: (Volume needed) / (Total volume) = (Dose needed) / (Total dose). Substituting the known values, we get (Volume needed) / 2.6 ml = 25 mCi / 52.7 mCi. Solving for the volume needed, we find that Volume needed ≈ 1.23 ml.

Therefore, to make a dose of 25 mCi at 9:30, about 1.23 ml of Tc-99m MDP solution should be drawn from the vial.

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The critical value that is used to construct a confidence interval for a proportion depends upon C. the confidence level and the sample size.

The critical value used to construct the confidence interval for proportion depends on:

1) The sample size:

The probability changes as the sample size changes as the distribution of the test statistics is dependent on sample size, thus the critical value will depend on sample size.

2) The confidence level:

The critical value is always calculated by using the confidence level, so it is dependent on it.

The sample proportion is the observed value which is used to perform the test, but not to construct the critical value.

Thus the correct option is:

Option C: The confidence level and sample size.

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The coordinates of the vertices after a reflection as follows:A → (2, 2)B → (5, 2)C → (4, 5).

Given that we are to reflect the coordinates of vertices over the line y = 3, we can conclude that the reflection will be on the x-axis.

Therefore, for a reflection in the line y = 3, the coordinates of the vertices after reflection are obtained by replacing y with 6 − y.

We are given the following triangle, therefore:

vertices coordinates for ABC: A(2, 4), B(5, 4) and C(4, 1)

For vertex A, its new coordinates after reflection will be (2, 2)

For vertex B, its new coordinates after reflection will be (5, 2)

For vertex C, its new coordinates after reflection will be (4, 5)

Hence, the coordinates of the vertices after a reflection over the line y = 3 are as follows:A → (2, 2)B → (5, 2)C → (4, 5).

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a) p1 - p2 includes 0, this implies that there is no significant difference between the two population proportions.

b) p1 is significantly greater than population proportion p2.

c) p1 is significantly less than population proportion p2.

d) With replacement and Without replacement.

a) If the confidence interval for the difference in population proportions p1 - p2 includes 0, this implies that there is no significant difference between the two proportions, and any observed difference could be due to random chance.

b) If all the values of a confidence interval for two population proportions are positive, this implies that population proportion p1 is significantly greater than population proportion p2.

c) If all the values of a confidence interval for two population proportions are negative, this implies that population proportion p1 is significantly less than population proportion p2.

d) Sampling with replacement is when an item is selected, recorded, and then returned to the population before the next item is selected. Sampling without replacement is when an item is selected, recorded, and not returned to the population before the next item is selected. In the case of selecting two names from 10 notecards:

- With replacement: Pick a notecard, write down the name, return it to the pile, shuffle, and pick another notecard (it is possible to select the same name twice).
- Without replacement: Pick a notecard, write down the name, set it aside, and then pick another notecard from the remaining nine (each student can only be selected once).

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Answer:

94916624

Step-by-step explanation:

Your equation could be written several different ways.

Mine was: \(2/5(5)(83^4)-19+1\)

If you written it to \(\frac{2}{(5)(83^4)} -19 + 1\), it would be -18

Using the relationship of permutation and combination, we can say that the relation \(${ }^n p_r=(n-\Gamma+1)^n p_{r-1}$\) holds true.

What is Permutation?

The process of placing all the components of a set into a certain sequence or order is known as permutation in mathematics. In other terms, the process of permuting is the reordering of the components of a set if the set is already ordered. Nearly all areas of mathematics include permutations in some form or another. They frequently appear when various orderings on certain finite sets are taken into account.

What is Combination?

Contrary to permutations, the order of selection is irrelevant when choosing elements from a collection using the combination method. The number of combinations may be counted in simpler situations. The combination is the taking together of n items, k at a time, without repetition. The words k-selection or k-combination with repetition are frequently used to describe combinations when repetition is permitted.

In the given question:

To proof:

\(${ }^n p_r=(n-\Gamma+1)^n p_{r-1}$\).

Let's Proof the relation:

Using the basic relation of permutation and combination, we have;

\($\begin{aligned}(n-r+1){ }^n P_{r-1} &=(n-r+1) \frac{n !}{(n-r+1) !} \\ &=(n-r+1) \frac{n !}{(n-r+1)(n-r) !} \\ &=\frac{n !}{(n-r) !}={ }^n P_r \end{aligned}$\)

Hence, Proved.

Therefore, we can say that the relation \(${ }^n p_r=(n-\Gamma+1)^n p_{r-1}$\) holds true.

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Answer:

Step-by-step explanation:

I say A

Answer: 6/12 and 10/12

12/24 and 20/24

Step-by-step explanation:

Jessica bought 1/2 pound of roast beef and 5/6 pound of ham.

1st option: 8/16 and 10/16

We will reduce them to lowest term

8/16 = 1/2

10/16 = 5/8

2nd option: 6/12 and 10/12

We will reduce them to lowest term

6/12 = 1/2

10/12 = 5/6

3rd option: 5/10 and 8/10

We will reduce them to lowest term

5/10 = 1/2

8/10 = 4/5

4th option: 12/24 and 20/24

We will reduce them to lowest term

12/24 = 1/2

20/24 = 5/6

The correct option of the given question is option (c)  fissure.

When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is c. fissure.

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The main term to reference in the index when coding the phrase "supravesical fissure of urinary bladder" is c. fissure.

In medical coding, the index is typically organized alphabetically based on the main terms or significant words within medical terminology. In this case, "fissure" is the main term that represents the specific condition or anatomical feature being coded.

The other terms, such as "urinary," "bladder," and "supravesical," provide additional context but are not the primary focus when searching for the appropriate code in the index.

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Answer:

Step-by-step explanation:

\(\big7^{14}\div\big7^2=\big7^{14-2}=\big7^{12}\)

The value of x , y and z in the parallel line is 50 degrees.

When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.

Therefore, let's use the angle relationships to find the angle, x, y and z as follows:

Therefore,

x = 360 - 310(sum of angles in a point)

x = 50 degrees

Therefore,

x = y(alternate interior angles)

Alternate interior angles are congruent.

Hence,

y = 50 degrees

Therefore,

x = z(alternate interior angles)

z = 50 degrees.

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