rationalise
3/5+root5

Answer:

It would be 3/3

Step-by-step explanation:

it is over 3 and up 3 if you are trying to get 3\4 go up 1

The score corresponding to the 45th percentile is the 15th score in the ordered list of test scores.

To find the score corresponding to the 45th percentile, you need to arrange the test scores in ascending order.

Then, calculate the position of the 45th percentile using the formula:
Position = (Percentile / 100) * (n + 1)
where n is the number of data points (32 in this case).
Position = (45 / 100) * (32 + 1) = 0.45 * 33 = 14.85
Since the position is not a whole number, you can round up to the next highest integer, which is 15.
Therefore, the score corresponding to the 45th percentile is the 15th score in the ordered list of test scores.

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Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

Using the Pythagorean Theorem, it is found that using a straight line distance, he could have jogged 32 meters.

The Pythagorean Theorem relates the length of the legs \(l_1\) and \(l_2\) of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the equation presented as follows:

\(h^2 = l_1^2 + l_2^2\)

In the context of this problem, the sides of the triangle are given as follows:

Hence the distance that he could have jogged is the hypotenuse of the right triangle, calculated as follows:

d² = 20² + 25²

d = sqrt(20² + 25²)

d = 32 meters.

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Answer:

B. { (-5, 5), (-1, -5), (-3, 5), (-2, -5) }

Step-by-step explanation:

because for any domain ,you will get only one range value ,

but ,there are many range values for same domain in A,C,D ;

2 : 14 is equal to 98 : 686.

An easy way is to get an equivalent ratio is to round it down as much as possible. 2:14 can be rounded down to 1:7, as both sides can be divided by 2 (think ratios like fractions).

Then, just multiply BOTH sides of the ratio by the same number. With 2:14, you multiply 2 by 49 (since 2 times 49 is 98) and multiply the other side by 49.

49 × 14 is 686.

So the equivalent ratio of 2:14 starting with 98 is 98:686.

Hope it helps!!

From the graph, we can see that the functions intersect at three points approximately located at: `(-4.43, 0.085)`, `(0.95, 0.452)`, and `(3.53, 10.69)` (rounded to two decimal places).Therefore, the points of intersection of `f(x)` and `g(x)` to two decimal places are:`(-4.43, 0.085)`, `(0.95, 0.452)`, and `(3.53, 10.69)`.

The given functions are: `f(x)

= e^x/20` and `g(x)

= x^2`Graph of the functions:Therefore, we need to find the points of intersection of `f(x)` and `g(x)`.To find the points of intersection, we need to solve the equation `f(x)

= g(x)` or `e^x/20

= x^2`We can also write the given equation as `e^x

= 20x^2` or `x^2

= (1/20)e^x`Let's graph the functions using an online graphing calculator: From the graph, we can see that the functions intersect at three points approximately located at: `(-4.43, 0.085)`, `(0.95, 0.452)`, and `(3.53, 10.69)` (rounded to two decimal places).Therefore, the points of intersection of `f(x)` and `g(x)` to two decimal places are:`(-4.43, 0.085)`, `(0.95, 0.452)`, and `(3.53, 10.69)`.

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To compute the z-score for each observation, we need to standardize the data using the formula z = (x - μ) / σ, where x is the individual observation, μ is the mean of the sample, and σ is the standard deviation of the sample.

Given the sample observations: 16, 11, 13, 22, 15, and 19, we can calculate the z-score for each observation as follows:

Calculate the mean (μ) of the sample:

μ = (16 + 11 + 13 + 22 + 15 + 19) / 6 = 16

Calculate the standard deviation (σ) of the sample:

Step 1: Calculate the squared deviations from the mean for each observation:

(16 - 16)², (11 - 16)², (13 - 16)², (22 - 16)², (15 - 16)², (19 - 16)²

0, 25, 9, 36, 1, 9

Step 2: Calculate the variance:

Variance = (0 + 25 + 9 + 36 + 1 + 9) / 6 = 80 / 6 ≈ 13.33

Step 3: Calculate the standard deviation:

σ = √(Variance) = √13.33 ≈ 3.65

Calculate the z-score for each observation:

z = (x - μ) / σ

For 16: z = (16 - 16) / 3.65 = 0 / 3.65 = 0

For 11: z = (11 - 16) / 3.65 = -5 / 3.65 ≈ -1.37

For 13: z = (13 - 16) / 3.65 = -3 / 3.65 ≈ -0.82

For 22: z = (22 - 16) / 3.65 = 6 / 3.65 ≈ 1.64

For 15: z = (15 - 16) / 3.65 = -1 / 3.65 ≈ -0.27

For 19: z = (19 - 16) / 3.65 = 3 / 3.65 ≈ 0.82

The z-scores for the given sample observations are: 0, -1.37, -0.82, 1.64, -0.27, and 0.82.

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Answer:

\(\boxed{\sf a = 9 }\)

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

\(\sf\longrightarrow 3x - 2y +7=0 \)

\(\sf\longrightarrow 6x +ay -18 = 0 \)

Step 1 : Convert the equations in slope intercept form of the line .

\(\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}\)

and ,

\(\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a} \)

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

\(\sf\longrightarrow Slope_1 = \dfrac{3}{2} \)

And the slope of the second line is ,

\(\sf\longrightarrow Slope_2 =\dfrac{-6}{a} \)

Step 3: Multiply the slopes :-

\(\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1 \)

Multiply ,

\(\sf\longrightarrow \dfrac{-9}{a}= -1\)

Multiply both sides by a ,

\(\sf\longrightarrow (-1)a = -9 \)

Divide both sides by -1 ,

\(\sf\longrightarrow \boxed{\blue{\sf a = 9 }} \)

Hence the value of a is 9 .

A Mathematical model for the determination of total area under glucose tolerance and other metabolic curves is called: Tai Mathematical model.

The Team Assisted Individualization method is a learning method developed by Slavin, Leavy, Kraweit and Madden in 1982 to 1985 in the book Cooperatine Learning: Theory, Research and Practice.

The Team Assisted Individualization method is structured to solve problems in teaching programs, for example in terms of individual student learning difficulties. This model pays attention to differences in the initial knowledge of each student to achieve learning achievement.

Students individually study learning material that has been prepared by the teacher. Individual learning outcomes are brought to groups to be discussed and mutually discussed by group members and all group members are responsible for the overall answer as a shared responsibility.

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Answer:

Thank you so much!!!

You're the best!!!!

Answer:

thx ☺️

ehehhehehehe

Step-by-step explanation:

so thx!

Answer:

You'd have to look at the size of the pizza and then measure the size of the arc for each slice. The slice of pizza is how many topping is on it. The sector is how much pizza you are consuming from the center to the crust. The arc is the crust around the pizza.

Answer:

See below.

Step-by-step explanation:

f(x + 3) = f(x) + f(5)    (Given) so:

f(2 + 3) = f(2) + f(5)

and f(2) = f(2 + 3)  - f(5)

= f(5) - f(5) = 0.

f(-1) = f(-1 +3) - f(5)

= f(2) - f(5)

= f(-3)

So - f(-1) = f(3)

Also:

f(5) = f(x + 3) - f(x)

= f(x + 3 - x)

= f(3).

But f(3) = -f(-1)  ( shown above),

So f(5) = -f(-1).

Step-by-step explanation:

If (x - 5)(2x + 1)(x - 7) = 0,

we have the roots x = -0.5, x = 5 and x = 7.

Since the coefficient of x³ here is positive,

the answer is -0.5 < x < 5 or x > 7.

Answer:

19

Step-by-step explanation:

it is 19

yes

wait no its 100000000000

I big brain UwU

Answer:

Step-by-step explanation:its 21

Answer:

see explanation

Step-by-step explanation:

a. plug in x as 2 in \(\frac{20x^6}{4x^2}\)to be 20(2)^6/4(2)^2, which is equal to 80

plug in x as 2 in \(5x^3\) to get 5(2)^3, which is equal to 40.

80\(\neq\)40, so the expressions are not equivalent

b. 20/4 = 5

\(\frac{x^6}{x^2}\) = \(x^{6-2}\) or x^4

so the correct simplification is 5x^4

The monthly budget plan for Judy includes all of her income and expenses, the total balance is $ 2362.92 and she spends $ 1083.

A monthly budget is a personal spending plan that you use to track your monthly income and costs.

The given data in the problem is;

Home pay = $2314.92/month.

Interest earned = $48 / month

House rent = $825/month

EMI of student loan =  $258/month

Total earning per month = $2314.92 +  $48

Total earning per month = $ 2362.92

Amount she spends per month = $825/month + $258

Amount she spends per month = $ 1083

Hence, the total balance will be $ 2362.92 and she spend $ 1083.

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Answer:a=3, d=common difference=3, a2=7, a3=9

Step-by-step explanation:

firstly we have given a,d  (using the arithmetic progression formula)

                                          (  an=a+(n-1) )

so we have made a sequence a2=a+d=7  

                                                   a3=a+2d=9

Answer:

True Hope It's Help

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In a Linear Programming problem, the objective function line is moved in the direction that reduces cost.

Linear Programming (LP) is an operation research approach used to determine the best outcomes, such as optimum profit, minimum cost, or maximum yield, given a set of constraints represented as linear relationships. Linear programming's fundamental idea is to find the best value of a linear objective function that takes into account a variety of constraints that are linear inequalities or equations. The goal of the constraints is to restrict the values of the decision variables. A linear programming problem consists of a linear objective function and linear inequality constraints, as well as decision variables. In a Linear Programming problem, we try to maximize or minimize a linear objective function, which represents our target. This objective function is expressed as a linear equation consisting of decision variables, each of which has a coefficient. Linear programming's ultimate goal is to find values of the decision variables that maximize or minimize the objective function while still satisfying the system of constraints we're working with. In this case, the objective function line is moved in the direction that reduces cost, which means we are minimizing the cost. We do this by moving the objective function line down towards the minimum point. This is the point where the objective function has the smallest possible value that meets all of the constraints.

Thus, in a Linear Programming problem, the objective function line is moved in the direction that reduces cost.

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Answer:

She caught 10 rabbits

Step-by-step explanation:

Given

Represent Rabbits with R; Squirrels with S and Deer with D

\(S = 3D\)

\(S = R - 5\)

\(S + R+ D = 10 +4D\)

Required

Determine the value of R

\(S + R+ D = 10 +4D\)

Solve for R

\(R = 10 + 4D - D - S\)

\(R = 10 + 3D - S\)

Recall that \(S = 3D\)

Substitute 3D for S

\(R = 10 + 3D - 3D\)

\(R = 10\)

Hence;

She caught 10 rabbits

To start, let's sketch the graph of the curve y = x from x = 0 to x = 20. This is simply a diagonal line that passes through the points (0,0) and (20,20), as shown below:

```
   |
20  |    *
   |   *  
   |  *  
   | *    
   |*    
0  --------------
  0   10   20
```

Now, we want to revolve this curve around the x-axis to create a solid shape. Specifically, we want to create a paraboloid, which is a three-dimensional shape that looks like an upside-down bowl.

To find the volume of this paraboloid, we need to use calculus. The basic idea is to slice the solid into very thin disks, and then add up the volumes of all the disks to get the total volume.

To do this, we'll use the formula for the volume of a cylinder, which is:

V = πr^2h

where r is the radius of the cylinder and h is its height. In our case, each disk is a cylinder with radius r and height h, where:

- r is equal to the y-value of the curve (i.e. r = y = x), since the disk extends from the x-axis to the curve.
- h is the thickness of the disk, which is a very small change in x. We can call this dx.

So, the volume of each disk is:

dV = πr^2dx
  = πx^2dx

To find the total volume of the paraboloid, we need to add up the volumes of all the disks. This is done using an integral:

V = ∫(from x=0 to x=20) dV
 = ∫(from x=0 to x=20) πx^2dx

Evaluating this integral gives us:

V = π/3 * 20^3
 = 8000π/3

So the exact volume of the paraboloid is 8000π/3.

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Answer:

This is likely unanswerable...

Step-by-step explanation:

To model the change in the number of immigrants over time, we can assume a linear relationship between the number of immigrants and the number of years.

To express the number of immigrants, y, in terms of t, we can use the equation of a straight line, y = mx + b, where m is the slope and b is the y-intercept. We have two data points: (t1, y1) = (1950 - 1900, 240,933) and (t2, y2) = (2002 - 1900, 1,102,888). Using these points, we can find the slope as m = (y2 - y1) / (t2 - t1). Substituting the slope and one of the data points into the equation, we can determine the equation expressing the number of immigrants, y, in terms of t.

Using the equation obtained in part a, we can predict the number of immigrants in 2019. We calculate t3 = 2019 - 1900 and substitute it into the equation to find the corresponding value of y.  The validity of using this linear equation to model the number of immigrants throughout the entire 20th century can be evaluated by considering the y-intercept value, b. The y-intercept represents the estimated number of immigrants in the year 1900.

If the number of immigrants in the early 20th century significantly deviates from the y-intercept value, it indicates that a linear model may not accurately capture the immigration patterns over the entire century. It is essential to assess historical data and consider other factors that may affect immigration trends to determine the validity and accuracy of the linear model.

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The number of terms in the expression, 6 + 2 x - 4 y + 5 z is 4 terms.

In the expression 6 + 2x - 4y + 5z, the number of terms is four, not the number of signs. The terms in this expression are:

Each term is separated by an operator (either addition or subtraction), which is represented by a sign. Therefore, the expression contains three addition signs and one subtraction sign.

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The full question is:

How many terms are in the following expression 6 + 2 x - 4 y + 5 z

0<=x<=90 is the correct answer.The domain of the function V(x) = 0.1x, representing the Volume of water in the bucket after x seconds, is  0<=x<=90

The volume of water in the bucket after x seconds can be represented by the function V(x) = 0.1x, where x is the number of seconds.

To determine the domain of this function, we need to consider any restrictions on the independent variable x. In this case, the domain represents the possible values of x that make sense in the given context.

The rate at which Lourdes is filling the bucket is 0.1 gal/s. This implies that she can fill the bucket at a constant rate for any positive number of seconds. However, it is not meaningful to consider negative values for x, as we are interested in measuring time in seconds from the moment she starts filling the bucket

Therefore, the domain of the function representing the volume of water in the bucket after x seconds is x ≥ 0, which means x can take any non-negative value or zero.

The domain of the function V(x) = 0.1x, representing the volume of water in the bucket after x seconds, is x ≥ 0.

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Answer: 11

Step-by-step explanation:

Complementary angles mean both angles sum 90°, then:

(3x + 2)° + 5x° = 90°

3x° + 2° + 5x° = 90°

8x° + 2° = 90°

8x° = 88°

x = 11

Confirmation:

(3x + 2)°                                        5x°

(3(11) + 2)°                                      5(11)x°

(33 + 2)°                                         55x°

35°

                      35° + 55° = 90°