Suppose that a function y=f(x) is increasing on the interval [6,7]. (a) Over what interval is the graph of y = f(x+8) increasing? The graph of y = f(x + 8) is increasing over the interval__

Answer:

Step-by-step explanation:

There are 3 possibilities for the graph as shown in the figure.

(a) having zero intersection

(b) having one intersection point (touching point)

(c) having two intersection points.

So, the greatest possible number of intersections for these graphs is 2 as shown in figure (c).

Answer:

c

Step-by-step explanation:

Given the equation below,

To find the maximum point, dy/dt = 0.

Differentiating the equation above,

Where dy/dt = 0,

Substituting for t into the equation, maximum height is'

Hence, the maximum height of the football is 64 ft.

The vertex form is to be used which is given below as,

Where (h, k) represents the coordinate of the vertex and k is the maximum height.

The function f(x) = x^2 + 2x + 1 / (x^2 + 3x + 2) is not continuous at x = -1 and x = -2. The discontinuity at x = -1 is removable because the function can be redefined at that point to make it continuous.

The discontinuity at x = -2 is non-removable because there is a vertical asymptote at that point, which cannot be removed by redefining the function. At x = -1, both the numerator and denominator of the function become zero, resulting in an indeterminate form.

By factoring both expressions, we find that f(x) can be simplified to f(x) = (x + 1) / (x + 1) = 1, which defines a single point that can replace the discontinuity. However, at x = -2, the denominator becomes zero while the numerator remains nonzero, resulting in an infinite value and a vertical asymptote. Therefore, the discontinuity at x = -2 is non-removable..

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Answer:

44

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

8-4= 4 So, 4 is the quotient.

4x3= 12 So 12 is the original number  

12/3 + 4= 8

The probability that the mean number of daily emergency admissions is between 75 and 95 is approximately 0.8990.

To find the probability that the mean number of daily emergency admissions is between 75 and 95, we can use the Z-score formula for sample means: Z = (X - μ) / (σ / √n), where X is the sample mean, μ is the population mean, σ is the standard deviation, and n is the sample size.

First, calculate the Z-scores for both 75 and 95:
Z_75 = (75 - 85) / (37 / √30) ≈ -1.62
Z_95 = (95 - 85) / (37 / √30) ≈ 1.62

Now, use a Z-table to find the probabilities corresponding to these Z-scores. P(Z ≤ 1.62) ≈ 0.9474 and P(Z ≤ -1.62) ≈ 0.0526.

Finally, subtract the probabilities to find the probability between the two Z-scores:
P(-1.62 ≤ Z ≤ 1.62) = P(Z ≤ 1.62) - P(Z ≤ -1.62) ≈ 0.9474 - 0.0526 ≈ 0.8948

Among the given answer choices, the closest value is 0.8990.

Therefore, the probability that the mean number of daily emergency admissions is between 75 and 95 is approximately 0.8990.

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Answer:

g(10) = - 4+

Step-by-step explanation:

Given

g(n) = - 4n - 3

Now

g(10)= - 4 * 10 - 3

= -40 - 3

= -43

Hope it will help :)

Step-by-step explanation:

Hey there!

Given;

g(n) = -4n-3

And to find: g(10)

Simply replace "n" by "10" on every place where there is "n". So,

g(n) = -4n-3

~Replace by "10".

g(10) = -4*10-3

= -40-3

= -43

Therefore, g(10) = -43.

Hope it helps....

Answer:

27 rounded or 26.9

Step-by-step explanation:

27 times 27 is 729 the closes to 726

26.9 is the square root of 726

The score that separates the top 41% from the bottom 59% is approximately 35.08. To find the score that separates the top 41% from the bottom 59% of scores on an English test with a mean of 33.3 and a standard deviation of 7.1, we need to use the standard normal distribution.

First, we need to find the z-score that corresponds to the top 41% of scores, which can be found using a standard normal distribution table or a calculator. The z-score corresponding to the top 41% is approximately 0.27. We can then use the formula z = (x - μ) / σ to find the corresponding raw score, x, where μ is the mean and σ is the standard deviation. Rearranging the formula gives us x = zσ + μ, which gives us the score that separates the top 41% from the bottom 59%.

In this case, we have z = 0.27, σ = 7.1, and μ = 33.3. Plugging these values into the formula gives us x = 0.27 * 7.1 + 33.3, which simplifies to x = 35.08. Therefore, the score that separates the top 41% from the bottom 59% is approximately 35.08.

This means that if a student scores above 35.08 on the English test, they would be in the top 41% of scores, while if they score below 35.08, they would be in the bottom 59% of scores.

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To find:

Determine whether the relation is a function and find domain and range.

Solution:

A relation can be identified as a function if each element in domain has only one image in the range of the function.

The first function is shown by a graph. Here, each x-value has a different y-value. So, the given relation is a function.

The domain of the first function is

The range of the first function is

In the second function, -2 has two images that are (0, 3). So, it is not a function.

The domain is (-4, -2, 1, 2) and the range is (-1, 0, 2, 3).

Answer: g = 29

10 = g - 19

add 19 to both sides:

29 = g

flip if u want

g = 29

hope this helped :)

Answer:

x = -5

Step-by-step explanation:

Please write this as y = x^2 + 10x + 25.  Here the coefficients are {1, 10, 25}.

The equation of the axis of symmetry is x = -b/[2a], which here is

x = -10 / [2*1] = -5

Answer:

250 min

Step-by-step explanation:

90-75=15

15/ 0.06= 250

250 minutes per month

Answer:

i dont know

Step-by-step explanation:

The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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Answer:

-2

Step-by-step explanation:

Equation of the line 2x + y + 1 = 0 in slope intercept form is y = -2x - 1 with slope of -2. So, the slope is -2.

Answer:

(5π/12)(11) = about 14.4 inches

The LCM for 20 and 44 is 220.

The least or smallest common multiple of any two or more given natural numbers are termed as LCM.

For example, LCM of 10, 15 and 20 is 60.

According to the question,

LCM for 20 and 44,

Step 1 : Divide the given numbers by the least prime number.

Here, 2 is the least number which will divide both 20 and 44.

we get, 10 and 22.

Step 2 : Divide the given numbers by the least prime number.

Here, 2 is the least number which will divide both 10 and 22.

we get, 5 and 11.

Then, the LCM for 20 and 44 is 2×2×5×11.

                                                = 220.

Hence LCM for 20 and 44 s 220.

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Answer:

The answer is 4

Answer:

3. X = 31° y = 139°

4. X = 150° y = 145°

5. X = 54°

6. w = 50° X = 40° y = 85° z = 110°

Answer: 12,620,256

Step-by-step explanation:

Given: The camera shop socks eight different types of batteries and there re at least 31 batteries of each type.

Here we want to select r= 31 batteries from n= 8 kinds of batteries, then formula we use to find number of ways is \(^{n+r-1}C_r=\ ^{31+8-1}C_{31}\)

\(=^{38}C_{31}=\dfrac{38!}{31!(38-31)!}\\\\=\dfrac{38!}{31!7!}\\\\=\dfrac{38\times37\times36\times35\times34\times33\times32\times31!}{31!\times5040}\\\\=12620256\)

Hence, the number of ways can a total inventory of 31 batteries be distributed among the eight different types = 12,620,256

The union of two sets is to avoid counting the same elements twice.

The mathematical logic subfield of set theory investigates sets, which can be loosely defined as collections of objects. Although any object can be combined into a set, set theory, as a mathematical discipline, focuses primarily on those that are relevant to mathematics as a whole.

Given union of set

(A ∪ B),

The set of all objects that are members of either A or B, or both, is the union of the sets A ∪ B.

let us take example,

A = { 1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

(A ∪ B) = { 1, 2, 3, 4} ∪  {3, 4, 5, 6, 7}

we can simply write all of A and B's elements in a single set to avoid duplicates to find A U B.

(A ∪ B) = {1, 2, 3, 4, 5, 6, 7}

Hence the  union of two sets is a set that contains all the elements of both set and avoid duplicates.

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The volume of the rectangular piece with sides of lengths of 7.08 × 10–3 m, 2.18 × 10–2 m, and 4.51 × 10–3m is 6. 96 × 10^ -7 m

Volume is defined as the amount of space or capacity occupied by a three-dimensional shape.

It is represented in cubic units.

Formula:

Volume, V = length × breadth × height

Given the values;

7. 08 × 10 ^-3m , 2.18 × 10^ -2m and 4. 51 × 10^-3m

Multiply all the lengths

Volume = 7. 08 × 10 ^-3 × 2.18 × 10^ -2 × 4. 51 × 10^-3

= 69.6 × 10^-8

= 6. 96 × 10^ -7 m

Therefore, the volume of the rectangular piece is 6. 96 × 10^ -7 m

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Answer:

A

Step-by-step explanation:

trust

Answer:

$17

Step-by-step explanation:

We know that we are looking at the cost of 3roses, simply plug 3 in for r and solve.

2+5r

2+5(3)

2+15

17

A box plot is best suited to find median rather than histogram.

what is histogram?

A histogram may be a show of applied math data that uses rectangles to point out the frequency of information things in sequent numerical intervals of equal size. within the commonest type of bar chart, the experimental variable is premeditated on the horizontal axis and also the variable is premeditated on the vertical axis.

Main body:

Histogram display can be used to find how many pumpkins had masses below 6.0.

Box plot display can be used to find that the median mass was 8 kilograms

Histogram

Box plot

Hence box plot is best suited.

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Answer:

Step-by-step explanation:

Answer:

The Box 1 and Box 2 are the same mass.

Explanation:

It caused both to change speed because they have both the same mass.

Answer:

45 square meters

Step-by-step explanation:

Area of a rectangle= length*width

A=9*5

A=45

∠XOB and ∠AOX are supplementary by the definition of supplementary angles.

Applying the substitution property of equality, then 2m ∠XOB = 180°

The blanks have been filled and the proof has been completed.

From the question, we are to fill in the blanks to complete the proof

The proof can be completed as shown below

Since AOB forms a line segment, ∠XOB and ∠AOX are supplementary by the definition of supplementary angles. Using the definition of supplementary angles m ∠XOB + m ∠AOX = 180°.  Since it is given that ∠XOB ≅ ∠AOX, then m ∠XOB = m ∠AOX. Applying the substitution property of equality, then 2m ∠XOB = 180°. After dividing m ∠XOB = 90°.

The blanks have been filled and hence, the proof has been completed.

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