how would i solve this​

Answer:

-1/3

Step-by-step explanation:

3x plus 3x =6x, -4-5=-9, 6 divided by -9=-1/3

Answer:

\(\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \sqrt{x} \left \{ {{y=2} \atop {x=2}} \right. \frac{x}{y} \alpha \alpha \alpha =\beta\)

Step-by-step explanation:

The curve of best fit is an illustration of a quadratic regression

The equation of the curve of best fit is \(y = -\frac{17}{18}x^2 + \frac{17}3x + 2\), and the height of the frog after 6 seconds is 2 feet

To determine the equation of the curve of best fit, we make use of a graphing calculator

Using the graphing calculator, we have the following calculation summary

The equation of the curve of best fit is represented as:

\(y = ax^2 + bx + c\)

Substitute the values for a, b and c.

So, we have:

\(y = -\frac{17}{18}x^2 + \frac{17}3x + 2\)

After 6 seconds, the value of x is 6.

So, we have:

\(y = -\frac{17}{18} * 6^2 + \frac{17}3 * 6 + 2\)

Evaluate

\(y = 2\)

Hence, the height of the frog after 6 seconds is 2 feet

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Answer:

Check the picture below

Step-by-step explanation:

The answer of the given question based on the finding the work done by the force, is  field F on a particle moving along the path C is 1/6.

A force is defined as influence that causes object to undergo change in motion. It is vector quantity, means it has both magnitude and direction.

To find the work done by the force field F on a particle moving along the given path, we need to evaluate the line integral of F along the path C.

The line integral of a vector field F along a curve C parameterized by r(t) is given by:

∫ F(r(t)) ⋅ r'(t) dt

where r'(t) is the derivative of r(t) with respect to t.

In this case, the force field F(x, y) = x²i − xyj, and the path C is given by x = cos³(t), y = sin³(t) from (1, 0) to (0, 1).

First, we need to parameterize the path C in terms of t. Since x = cos³(t) and y = sin³(t), we can express the path C as a vector function r(t) = ⟨cos³(t), sin³(t)⟩, where t goes from 0 to π/2.

we need to find derivative of r(t) with the respect of  t:

r'(t) = ⟨-3cos³(t)sin(t), 3sin²(t)cos(t)⟩

Now, we can evaluate the line integral of F along C:∫ F(r(t)) ⋅ r'(t) dt

= ∫ (cos⁶(t)i - cos³(t)sin⁴(t)j) ⋅ (-3cos²(t)sin(t)i + 3sin²(t)cos(t)j) dt

= ∫ (-3cos⁸(t)sin(t) + 3cos³(t)sin⁵(t)) dt

= [-3/9cos⁹(t) - 3/6cos⁴(t)cos²(t)]_0^(π/2)

= 0 - (-3/9 - 3/12)

= 1/6

Therefore, the work done by the force field F on a particle moving along the path C is 1/6.

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The problem requires finding the median number from an unsorted array in C using both a sorting algorithm and a method that doesn't involve sorting.

The problem requires finding the median number from an unsorted array in the C language.

The input is taken from the console, where the first input represents the size of the array, followed by the elements of the array.

A function needs to be written to find the median number using a sorting algorithm.

Various sorting algorithms, such as Selection Sort or Insertion Sort, can be implemented to sort the array.

Another function should be implemented to find the median without sorting the sequence, using methods like finding the k largest numbers or other approaches.

Finally, the main function should be used to test both functions and verify their correctness.

By implementing these steps, we can effectively solve the problem of finding the median number from an unsorted array in C, providing a reliable and tested solution.

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The equation that can be used to find r, the rate of growth per year of the world population, is \(r = (7.53 / 5.88 )^{(1/20)} - 1\).

If we assume that the growth rate of the world population was constant from 1997 to 2017, then we can use the following equation:

Population in 2017 = Population in 1997 × (1 + r)²⁰

where r is the annual growth rate, and the exponent 20 represents the number of years between 1997 and 2017.

We can rewrite this equation to solve for r:

(7.53 ) = (5.88 ) × (1 + r)²⁰

Divide both sides by (5.88 ):

(7.53 ) / (5.88 ) = (1 + r)²⁰

Take the 20th root of both sides:

\((7.53 / 5.88 )^{(1/20)} = 1 + r\)

Subtract 1 from both sides:

\(r = (7.53 / 5.88 )^{(1/20)} - 1\)

Therefore, the equation that can be used to find r, the rate of growth per year of the world population, is \(r = (7.53 / 5.88 )^{(1/20)} - 1\).

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Answer:

B, C

Step-by-step explanation:

Seeing as you said ASAP I thought I wouldn't spend time writing an explanation, but let me know if you do want one.

Answer:  B

Step-by-step explanation:each of the pairs of opposite angles made by two intersecting lines.

By using this blind experimental design, the researcher aimed to reduce biases and confounding factors that could influence the results. This approach helps to evaluate the true impact of the new exercise routine on muscle growth, as any differences observed between the two groups can be attributed to the exercise routines rather than individual expectations or preferences.

The researcher aimed to investigate the impact of a new exercise routine on muscle growth by conducting a controlled experiment. The study included a total of 60 volunteers, specifically 40 men and 20 women, who were of average build. Body mass and muscle sizes, such as biceps and thighs, were measured as baseline measurements.

To assess the effectiveness of the new exercise routine, the researcher employed a blind experimental design. All the men received a DVD containing the new exercise routine, while the women were given a DVD with a standard routine. The assignment of the DVDs was kept confidential, ensuring that the participants remained unaware of the type of exercise they were performing.

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Answer:

(4,-9) or x=4, y=-9

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Theres also a graph attacthed of the equations intersecting if that helps you. :)

Answer:0.8

Step-by-step explanation:

Answer

1/2 : 1/3 = 3/

2

= 1 1/

2

= 1.5

Step-by-step explanation:

1.5 is your answer

Answer to 2a: The mean of Asset A is 0.235  and the variance is 0.0123

Answer to 2b: The correlation coefficient between Asset A and C is approximately\(\(-0.670\) (Boom), \(-0.187\) (Average), \(-0.670\)\)(Bust).

2a. Mean of Asset A (Expected Value):

The mean of Asset A (E(A)) can be calculated as:

\(\[E(A) = \sum_{i} (x_i \cdot P_i)\]\)

where \(\(x_i\)\) represents the return on Asset A in each state and\(v \(P_i\)\) represents the probability of that state.

Using the given information, we have:

Boom:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Average:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Bust:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Therefore, the mean of Asset A is\(\(E(A) = 0.235\).\)

2b. Correlation Coefficient of A and C:

The correlation coefficient\((\(\rho\))\)between Asset A and C can be calculated using the formula:

\(\[\rho = \frac{{\text{{Cov}}(A, C)}}{{\sigma_A \cdot \sigma_C}}\]\)

where\(\(\text{{Cov}}(A, C)\)\) represents the covariance between Asset A and C, and \((\sigma_A\)\) and\(\(\sigma_C\)\)represent the standard deviations of Asset A and C, respectively.

Using the given information, we have:

Boom:

\(\(\text{{Cov}}(A, C) = (0.35 - 0.235) \cdot (0.10 - 0.25) = -0.017\)\)

Average:

\(\(\text{{Cov}}(A, C) = (0.20 - 0.235) \cdot (0.15 - 0.25) = -0.005\)\)

Bust:

\(\(\text{{Cov}}(A, C) = (0.05 - 0.235) \cdot (0.35 - 0.25) = -0.017\)\)

Now, we calculate the standard deviations of Assets A and C:

\(\(\sigma_A = \sqrt{{\text{{Var}}(A)}} = \sqrt{0.0123} \approx 0.1108\)\)

\(\(\sigma_C = \sqrt{{\text{{Var}}(C)}} = \sqrt{0.0517} \approx 0.2274\)\)

Finally, we can calculate the correlation coefficient:

Boom:

\(\(\rho = \frac{{-0.017}}{{0.1108 \cdot 0.2274}} \approx -0.670\)\)

Average:

\(\(\rho = \frac{{-0.005}}{{0.1108 \cdot 0.2274}} \approx -0.187\)\)

Bust:

\(\(\rho = \frac{{-0.017}}{{0.1108 \cdot 0.2274}} \approx -0.670\)\)

Therefore, the correlation coefficient between Asset A and C is approximately\(\(\rho \approx -0.670\) (Boom), \(\rho \approx -0.187\) (Average), and \(\rho \approx -0.670\) (Bust).\)

Answer to 2a: \(The mean of Asset A is \(0.235\) and the variance is \(0.0123\.\)

Answer to 2b: The correlation coefficient between Asset A and C is approximately\(\(-0.670\) (Boom), \(-0.187\) (Average), \(-0.670\)\)(Bust).

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Answer:

b). 18.3

Step-by-step explanation:

c² = a² + b² - 2bc (cos A)

= 12.4² + 9.9² - 2(12.4) (9.9) x cos(110)

= 153.76 + 98.01 - 245.52 x cos(110)

= 251.77 - 245.52 x -0.342

c² = 251.77 + 83.97

c² = 335.74

c = 18.3

Answer:

31! :D

Step-by-step explanation:

(My discord: TheDiamondDuck #9036)

If you want to join you can,

Good luck!!

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The maximum volume of the box that can be constructed from the square sheet of metal is V = (x/2)^2 * (x - 2(x/2)) = x^3/8.

Let's assume that the original square sheet of metal has a side length of 'x'. We will cut squares of length 'y' from each corner of the sheet to form the metal box.

The length of the base of the box will be (x-2y) and its width will also be (x-2y), as two squares of length 'y' have been removed from each side of the square sheet. The height of the box will be 'y', as this is the size of the square that was cut out from each corner.

Therefore, the volume of the box can be expressed as V = (x - 2y)^2 y.

Taking the derivative of V with respect to y

dV/dy = 4y(x - 3y)(x - 2y)

Setting dV/dy to zero, we get:

4y(x - 3y)(x - 2y) = 0

This equation has three solutions: y=0, y=x/3, and y=x/2.

The first solution, y=0, corresponds to not cutting any squares from the corners of the sheet and therefore does not result in a box. The second solution, y=x/3, gives a volume of V=(x/3)^2(x-2x/3)=x^3/27, and the third solution, y=x/2, gives a volume of V=(x/2)^2(x-x)=x^3/4.

Therefore, the maximum volume of the box is obtained when y = x/2. In this case, the dimensions of the box are:

length = width = x - 2y = x - x = 0

height = y = x/2

However, since the box cannot have zero length or width, this means that the maximum volume occurs when y=x/2 is at the edge of the feasible region. Therefore, we should choose y=x/2 as the size of the squares to be cut out and the dimensions of the resulting box are:

length = width = x - 2y = x - x = 0

height = y = x/2

So, the maximum volume of the box that can be constructed from the square sheet of metal is V = (x/2)^2 * (x - 2(x/2)) = x^3/8.

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The intersection of this sphere with the -plane is (y+6)²+(z-4)²=21

The equation of a sphere centered at (h,k,l) and radius r is given by:

(x−h)²+(y−k)²+(z−l)²=r²

where x,y, and z represent the coordinates of the points on the surface of the surface.

so if the center is (-3,2,5) and radius r=4 then we can plug the values in the above formula:

consider the points  h=-3 k=2 l=5 and r=4.

(x−(-3))²+(y−2)²+(z−5)²=4²

(x+3)²+(y−2)²+(z−5)²=16.

If the sphere intersects the yz-plane then x=0

The resulting equation is an equation of a circle with a radius r=√21

and at the center with (6,-4) on the yz-plane

with yx-plane:

⇒(x−2)²+(y+6)²+(z−4)²=25

⇒ (0−2)²+(y+6)²+(z−4)²=25

⇒4+(y+6)²+(z−4)²=25

⇒(y+6)²+(z−4)²=25-4

⇒(y+6)²+(z−4)²=21

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The inequality y ≤ - 3x will shade the third quadrant thus option (3) will be correct.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given inequality,

y ≤ - 3x

Put x = 0

y  ≤ -3(0)

y  ≤ 0 thus y will be negative so it lies in the third quadrant.

Hence "The third quadrant will be shaded by the inequality y ≤ - 3x".

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Answer:

option 2

Step-by-step explanation:

y-int is +2, and option 2 hits y-axis at 2

slope is 1/3, and option rises 1, runs 3

Where the above conditions are given, note that ∠AFB  and ∠EFD are not vertical angles neither are they linear pair angles.

Vertical angles are a pair of non-adjacent angles formed by the intersection of two lines.

They are equal in measure and are formed opposite to each other. An example of vertical angles is when two intersecting roads create an "X" shape, and the angles formed at the intersection points are vertical angles.

Linear pair angles are a pair of adjacent angles formed by intersecting lines. They share a common vertex and a common side.

An example of linear pair angles is when two adjacent walls meet at a corner, and the angles formed by the walls are linear pair angles.

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In the given regression model, Yi = 30 + B1Xi + B2Di + B3(Xi x Di) + ui, B3 represents the interaction term between the continuous variable Xi and the binary variable Di.

The coefficient B3 indicates the difference in the slopes of the two regressions when Di = 0 and Di = 1.

Thus, it shows how the effect of Xi on Yi changes depending on the value of Di.

C) indicates the difference in the slopes of the two regressions.

In the given regression model, ß3 is the coefficient of the interaction term between X and D, which is (Xi x Di). The interaction term shows how the effect of X on Y changes when D changes from 0 to 1.

Therefore, the coefficient ß3 indicates the difference in the slopes of the two regressions (when D = 0 and D = 1), which represents the effect of the interaction between X and D on Y.

Option A is incorrect because the slope of the regression when D=1 is given by the coefficient ß1 (the coefficient of X), not by ß3.

Option B is incorrect because the standard error of the coefficient ß3 can be normally distributed in large samples, even if D is not normally distributed.

Option D is incorrect because the product (Xi x Di) is zero when Di = 0, but ß3 can still have a non-zero value when Di = 0.

C) indicates the difference in the slopes of the two regressions.

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Answer:

Slope = -2/5 new points (5/2,1) and (5,0)

Step-by-step explanation:

Standard point slope equation:

y = mx + b   where m is the slope and b is the y-intercept.

First find the slope between the given points.

Slope = rise/run

m = (y1 - y2) / (x1 - x2)

   = (4 - 0)/(-5 - 5)

   = 4/-10 = -2/5 then

y = (-2/5)x + b then one point (I picked (-5,4) to find b

4 = (-2/5)(-5) + b

4 = 2 + b

b = 2

y = (-2/5)x + 2 then pick an x and find y for additional points.

x = 5/2

y = (-2/5)(5/2) + 2

y = -1 + 2

y = 1 so the point is (5/2,1) and let x = 5

y = (-2/5)(5) + 2

y = -2 + 2

y = 0 so the point is (5,0)

Suppose that :

A = ( 5 , 0 )

B = ( - 5 , 4 )

Then we have :

Slope = [ y(B) - y(A) ] ÷ [ x(B) - x(A) ]

Slope = [ 4 - 0 ] ÷ [ -5 - 5 ]

Slope = 4 ÷ ( - 10 )

Slope = - 4/10

Slope = - 2/5

________________________________

It's time to find the formula of this linear function using following formula :

y - y ( A or B ) = Slope × ( x - x ( A or B ) )

I'm gonna using point A but u can do it with point B which will gave the same answer :

y - 0 = - 2/5 × ( x - 5 )

y = - 2/5 x + 2

_______________________________

We have the formula of the function now thus it's time to find two more points that line passe through ;

To do that we just have to put two desired values of x instead of it and find the y to have the coordinate of those points that line passes through :

I'm gonna use x = - 10 and x = 15 :

x = - 10 x = 15

y = - 2/5 × ( -10 ) + 2 y = -2/5 × ( 15 ) + 2

y = 4 + 2 y = - 6 + 2

y = 6 y = - 4

________________________________

Thus ( -10 , 6 ) & ( 15 , - 4 ) are two other points that line passes through.

Answer: 6 months

Step-by-step explanation:

if the camera was 150 dollars, and she pay 60 upfront,

150-60=90 dollars left to be paid

she pays 15 dollars a month

90/15=6 months

Answer:

the answer is 0.01 your welcome

Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.

Quadratics representing repeated roots has discriminant equals to zero.

Standard quadratic equation is:

ax² + bx + c = 0

Discriminant 'D' = b² - 4ac

option a. -x²+ 18x + 81

Discriminant

'D' = 18² - 4(-1)(81)

      = 324 + 324

      = 648

D>0 has distinct roots.

option b. 3x²- 3x - 168

Discriminant

'D' = (-3)² - 4(-3)(-168)

      = 9 - 2016

      = -2007

D< 0 has distinct roots.

option c. x²- 4x -  4

Discriminant

'D' = (-4)² - 4(1)(-4)

      = 16 + 16

      = 32

D>0 has distinct roots.

option d. 25x²- 30x + 9

Discriminant

'D' = (-30)² - 4(25)(9)

      = 900 - 900

      = 0

D = 0 has repeated roots.

Repeated roots are:

x = ( -b ±√D ) / 2a

  = [-(-30)±√0 ]/ 2(25)

  = 30/ 50

  = 3/5.

option e.  x² - 14x + 24

Discriminant

'D' = (-14)² - 4(1)(24)

      = 196 - 96

      = 100

D>0 has distinct roots.

Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.

The above question is incomplete, the complete question is:

One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?

a. -x²+ 18x + 81

b. 3x² - 3x - 168

c. x² - 4x - 4

d. 25x² - 30x + 9

e. x² - 14x + 24

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Answer:

1162.08

Step-by-step explanation:

zahid is paid 774.72 for 36 hrs so,

he worked 43 hrs,

so no. of hours ot: 43-36

7 hrs

now we will find the half of 774.72

387.36

now add 774.72+387.36

1162.08

so that was his earning

Answer:

There was an initial balance of at least $60 on Peter's gift card.

Step-by-step explanation:

Inequalities

Is a relation that makes a non-equal comparison between two mathematical expressions. Usual comparators are >, <, ≠, ≤, and ≥.

Let's call x to the original amount Peter had on his gift card balance. We know he spent half of it on coffee. Thus the remaining balance is x/2.

He loaded $10 to his balance, so the new balance is x/2+10. Knowing he now has at least $40, we set the inequality as:

x/2+10 ≥40

Subtracting 10:

x/2 ≥40-10

Operating:

x/2 ≥30

Multiplying by 2:

x≥60

There was an initial balance of at least $60 on Peter's gift card.

Answer:

5 and 2

Step-by-step explanation:

Answer:

5 and 2

Step-by-step explanation:

Answer:

9.2

Step-by-step explanation:

first i added 5 + 3 = 8

then i did 1 1/5 + 8=9 1/5