Write an equivalent fraction to the given fraction
(1 Point)
7
9
O
al
OS
9
O]
O none of the above

The answer is (B) 1/e.

To find the absolute maximum value of f(x) = ln(x)/x, we need to find the critical points and endpoints of the function and then evaluate f(x) at these points to determine the maximum value.

First, we find the derivative of f(x):

f'(x) = (1/\(x^2\)) * (xln(x) - 1)

Setting f'(x) = 0, we get:

xln(x) - 1 = 0

Solving for x, we get:

x = 1/e

Since f(x) is only defined for x > 0, the only critical point is x = 1/e.

Next, we evaluate f(x) at the critical point and at the endpoints of the domain of the function:

f(1/e) = ln(1/e)/(1/e) = -1/e

f(0+) = lim(x→0+) ln(x)/x = lim(x→0+) (1/x) / 1 = ∞

f(∞) = lim(x→∞) ln(x)/x = lim(x→∞) (1/x) / (1/x) = 1

Since f(x) approaches infinity as x approaches 0+, and f(x) approaches 1 as x approaches infinity, the absolute maximum value of f(x) occurs at x = 1/e, and the maximum value is f(1/e) = -1/e.

Therefore, the answer is (B) 1/e.

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9514 1404 393

Answer:

  a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)

  b) no; different angles

Step-by-step explanation:

a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.

The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.

Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.

The scale factor relating the second triangle to the first is ...

  NC/RL = 45/30 = 3/2

__

b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.

The function takes a vector called "data" and a midpoint "m" as inputs and centers the data around the midpoint. It ensures that the midpoint becomes the new zero or center point of the data.

To center the data around the midpoint, we need to calculate the difference between each element of the data vector and the midpoint. This can be done by subtracting the midpoint from each element in the data vector. By doing so, the midpoint becomes the new zero or center point of the data.

Here is an example implementation of the function in Python:

def center_data(data, m):

   centered_data = [x - m for x in data]

   return centered_data

In this function, we iterate over each element in the data vector and subtract the midpoint "m" from it. The result is stored in a new vector called "centered_data" which represents the centered version of the original data vector. This ensures that the midpoint becomes the new zero or center point of the data. The centered_data vector can be further used for analysis or visualization purposes.

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Answer:

9.899

Step-by-step explanation:

Area of square = side × side

49 = side × side

7 × 7 = side × side

Side = 7 cm

Diagonal of square = side × root2

= 7 × Root2 cm

= 9.899

Answer:

well i don't exactly know but its best to ask your teacher for help <3

Step-by-step explanation:

The approximate dimenion of the rectangle are the 10.71 inches for the Rectangle length = 32.14 inches Rectangle Width = 10.71 inches.

A rectangle is three times as long as it is wide

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y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given,

y-intercept 4 and slope -1/5

Now y=-1/5x+4

Hence y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

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Step-by-step explanation: First, you have to multiply the numerators, for example, 1/2 x 1/4. 1x1=1. Then the denominator. 2x4=8. So, 1/2x1/4=1/8

Answer:

There are no possible real values for x.

Step-by-step explanation:

The equation states:

4-x²>10

-x²>10-4 (Move 4 to the other side)

-x²>6 (Multiplying by -1 changes the sign)

x²<-6

In the case that we aren't working with imaginary numbers, no number squared would give -6, or anything below -6.

Hope this helps, and let me know if imaginary numbers are necessary for this question ♡

The limiting distribution of yn is a point mass at β.

To find the limiting distribution of yn, we will use the Central Limit Theorem (CLT), which states that the sum of a large number of independent and identically distributed (i.i.d.) random variables, each with finite mean and variance, will be approximately normally distributed.

First, we need to find the mean and variance of yn:

E(yn) = E(xn/n) = (1/n)E(xn) = (1/n)(αβ) = β

Var(yn) = Var(xn/n) = (1/n^2)Var(xn) = (1/n^2)(αβ^2) = β^2/n

Now, we can apply the CLT to yn:

(zn - β) / (σ / sqrt(n)) ~ N(0,1)

where zn = yn, σ^2 = Var(yn) = β^2/n.

As n approaches infinity, the distribution of yn approaches a normal distribution with mean β and variance 0, since σ^2 approaches 0:

lim n->∞ P(zn ≤ z) = Φ((z-β)/0) = Φ(∞) = 1, for any z.

Therefore, the limiting distribution of yn is a point mass at β. In other words, yn converges in probability to β as n approaches infinity.

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On solving the provided question we can say that the linear graphs of both linear equations cross at this point (0,2)

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

Provided linear equations are:-

-x − y = -2

4x − 2y = -4

Convert the equations into the standard form:-

\(y = mx + c\\y = -x + 2\\y = 2x + 2\\\)

The linear graphs of both equations cross at this point (0,2)

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Answer:

7250.2 i think

Step-by-step explanation:

Finding 110 of a number is the same as dividing it by 10 . To find a tenth of something simply multiply it by 110 and then simplify.

Answer:

EA

Step-by-step explanation:

Answer:

i am not able to understand sorry can u ask properly again and follow me i by mistakely deleted my app i have download it again i have to make my followers again

Vertical Translation of 4 units

1) Considering the function f(x)=x² as the parent function, and g(x)=x²+4

We have a Vertical Translation up 4 units when we compare both parabolas.

2) As we can see below:

The probability that he will get to use his laser pointer for at least 105 hours before he needs to buy more batteries is 1.

We know that a pair of batteries will power the pointer for an average of five hours use, with a standard deviation of 30 minutes. Also, he buys 20 2-packs of AAAA batteries.So, the total number of batteries he bought = 20 × 2 = 40.Since a pair of batteries will power the pointer for an average of five hours use, with a standard deviation of 30 minutes.

This means that the standard deviation for 40 batteries will be calculated as follows:\($$\text{standard deviation for 1 pair of batteries} = 30 \text{ minutes}$$$$\text{standard deviation for 40 pairs of batteries} = 30/\sqrt{40} \text{ minutes} = 4.74 \text{ minutes}$$\)

Hence, the mean time that he will get to use his laser pointer for 40 batteries will be 40 × 5 = 200 hours.

So, the probability that he will get to use his laser pointer for at least 105 hours before he needs to buy more batteries is calculated as follows:

\($$P(X \ge 105) = P\left(Z \ge \frac{105-200}{4.74}\right)$$$$\qquad \qquad \,\,\,\,\, = P(Z \ge -19.97)$$$$\qquad \qquad \,\,\,\,\, = 1 - P(Z \le -19.97) = 1$$\)

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Answer:

22

Step-by-step explanation:

N-9=13

N-9+9=13+9

N=22

Answer:

the answer for the question is 22

Step-by-step explanation:

as I said,a certain number =x

therefore,x-9=13

x=13+9

x=22

Answer:

send the complete question . there are some missing signs .

Answer:

230-300= -70

All you have to do is subtract :)

ANSWER:

X=-3x-11

Y=3x/4-5/2

Step-by-step explanation:

Answer:

5 hours

Step-by-step explanation:

she works 5 hours each dinner shift

it would be 4×10\(^{5}\)

Answer:

3960

Step-by-step explanation:

180=2×2×3×3×5

792=2×2×2×3×3×11

LMC=2×2×2×3×3×5×11

LMC=3960

The expression that best represents the volume is (b) \(V = \pi (13.5)^2 (4)\)

The given parameters are:

Diameter, d = 27

Height, h = 4

Start by calculating the radius using:

r = d/2

This gives

r = 27/2

r = 13.5

The volume is then calculated as:

\(V = \pi r^2 h\)

This gives

\(V = \pi (13.5)^2 (4)\)

Hence, the expression that best represents the volume is (b) \(V = \pi (13.5)^2 (4)\)

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(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.

(b)75.8

Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.

It is given that a pizza lover wants to compare the average delivery times.

Therefore the null hypothesis and alternate hypothesis implies that,

H₀ =  all restaurants have equal mean delivery time

Hₐ = at least two restaurants have different two deliveries

Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.

The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.

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Answer:

59

Step-by-step explanation:

2a^2 - b^3

a = 4, b = -3

substitute in the given values and solve

2*4^2 - -3^3

remember the order of operations, exponents first

2 * 4^2 - - 3^3

= 2 * 16 - - 27

simplify

2 * 16 - -27

=32 - - 27

= 32 + 27

= 59

To solve the inequality −3|n - 5| ≥ 24, we can break it down into two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: n - 5 ≥ 0

In this case, the absolute value becomes n - 5, so we have:

-3(n - 5) ≥ 24

Simplifying the inequality gives:

-3n + 15 ≥ 24

-3n ≥ 9

Dividing both sides by -3 (and flipping the inequality sign):

n ≤ -3

Case 2: n - 5 < 0

In this case, the absolute value becomes -(n - 5), so we have:

-3(-(n - 5)) ≥ 24

Simplifying the inequality gives:

3n - 15 ≥ 24

3n ≥ 39

Dividing both sides by 3:

n ≥ 13

Combining the solutions from both cases, we find that the solution to the inequality is n ≤ -3 or n ≥ 13. This means n can be any value less than or equal to -3 or any value greater than or equal to 13.

As for the graph representing the solution, it would be a number line with a closed circle at -3 (indicating that it includes -3) and an open circle at 13 (indicating that it does not include 13). The area between -3 and 13 is shaded to represent the values that satisfy the inequality.

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I suppose * is supposed to denote a binary operation with the given definition,

a * b = (a - b)²

as opposed to multiplication, so that, for instance, 1 * 1 = (1 - 1)² = 0.

Using the definition of *, you have

2 * 5 = (2 - 5)² = (-3)² = 9

(a) The area of the region R is 12√2 square units.

(b) The volume of the solid with cross section that are squares perpendicular to the y-axis is 131.784 cubic units.

(a) To find the area of R, we need to find the points where f(x) and g(x) intersect and then integrate over that interval. The intersection points are found by setting the two functions equal to each other and solving for x:

√x = 6 - x

x = 36 - 4x

5x = 36

x = 7.2

So the intersection points are x = 7.2. To find the area, we integrate the lower function (f(x) = √x) over the interval [0, 7.2]. The area of R is given by:

∫_0^(7.2) √x dx = 2/3 x^(3/2) |_0^(7.2) = (2/3)(√(7.2))^3 - (2/3)(0)^3 = (2/3)(6^(3/2)) = 12√2

(b) To find the volume of the solid, we need to find the cross-sectional area of the squares at each x and then integrate over the interval [0, 7.2]. The cross-sectional area of the squares is given by the minimum of f(x) and g(x) at each x. So we have:

V = ∫_0^(7.2) (min[f(x), g(x)])^2 dx = ∫_0^(7.2) (6 - x)^2 dx = (1/3)x^3 - x^2 + 6x |_0^(7.2) = (1/3)(7.2^3) - (7.2^2) + 6(7.2) - (1/3)(0^3) - (0^2) + 6(0) = 140.624 - 51.84 + 43.2 = 131.784

So the volume of the solid is approximately 131.784 cubic units.

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Tina read a total of 24 pages

How to find the number of pages Tina read

The number of pages Tina read is gotten by addition of each the pages read each day

Monday she read 6 by 3 pages = 6 * 3 = 18 pages

Tuesday she read 12/6 pages = 2 pages

Friday she read 24/6 page = 4 pages

The sum is solved by

= 18 + 2 + 4

= 24 pages

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In the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).

The domain refers to the set of possible inputs or variables in a given context. In this case, the scatterplot is being created based on the relationship between the time students spent studying and their corresponding test grades. Therefore, the domain in this context would be the number of minutes the students studied (option D).

The domain represents the independent variable, which is the variable that is controlled or manipulated in the analysis. In this scenario, the math teacher wants to analyze the relationship between studying time and test grades, so the number of minutes studied would be the independent variable. The teacher surveys the students to collect data on the time spent studying, and this variable becomes the domain of the scatterplot.

The range, on the other hand, represents the dependent variable, which is the variable that is measured or observed as an outcome or response. In this case, the dependent variable would be the students' test grades. The scatterplot will show how the test grades correspond to the amount of time students studied.

To summarize, in the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).

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