What is the domain of the function shown in the graph below?
Please help!! thanksss

Answer:

MP = RS 7,800

Step-by-step explanation:

Let

Marked price = MP

MP x (100 – 15) / 100 = Rs 6,630

MP × (85)/100 = Rs 6,630

MP = Rs 6,630 ÷ 85/100

MP = 6,630 × 100/85

MP = 663,000/85

MP = 7,800

MP = RS 7,800

Answer:

?

Step-by-step explanation:

The probability that she selects the route of three specific capitals is 97290/1.

The probability that she selects the route of three specific capitals can be calculated by taking the total number of possible routes and dividing it by the total number of routes that involve the three specific capitals. To calculate the total number of possible routes, multiply the number of states (47) by the number of routes that could be selected from each state (2). This gives 94 total possible routes.

47 x 46 x 45 ways = 97290 ways

= 1/97290

Now, calculate the number of routes that involve the three specific capitals. Since the president is selecting three states, the total number of routes will be 3. Therefore, the probability that she selects the route of three specific capitals is 3/94, which can be simplified to 97290/1.

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Answer:

its the first one

Step-by-step explanation:

Answer: it is A. just got it right

Step-by-step explanation:

The value of the exponent (2/5)^3 is \(\frac{8}{125}\)

In the above question, it is given that

(2/5)^3

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2^3) signifies 2 x 2 x 2 = 8.

We need to solve it and then find the value of the exponent

(2/5)^3

= \(\frac{2}{5}\) x \(\frac{2}{5}\) x \(\frac{2}{5}\)

= \(\frac{2 . 2. 2}{5 . 5 . 5}\)

= \(\frac{8}{125}\)

Therefore the value of the exponent (2/5)^3 is \(\frac{8}{125}\)

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Answer:

i think the answer is 32

Answer:

32 tablespoons

Step-by-step explanation:

First let's review the area formula for a circle.

Area=π\(r^2\)

Now that we know the radius, r is 10. The area is

10*10*π=100π

I will approximate π to 3.14 although you could do it more precise or less precise. The final answer will be 100*3.14=314 squared centimeter.

Any question you have about this just ask in the comment of this answer :)

Answer:

\(\large\boxed{\mathtt{Exact = 100 \pi \ cm^{2}}}\)

\(\large\boxed{\mathtt{Approximate: 314.16cm^{2}}}\)

Step-by-step explanation:

\(\textsf{We are asked to identify the area of the circle with the given radius.}\)

\(\large\underline{\textsf{What is the Radius?}}\)

\(\textsf{The \underline{Radius} is a straight \underline{line segment} that covers the distance to the \underline{center} of the}\)

\(\textsf{circle, to the \underline{circumference}.}\)

\(\large\underline{\textsf{What is the Formula for Area?}}\)

\(\textsf{The formula we use for area is;} \mathtt{ \ Area = \pi(radius)^{2}.}\)

\(\textsf{Pi is used to help equal out the ratio of the formula. Mainly, it's helpful to find the area.}\)

\(\textsf{Now that we have the Radius, we can begin solving.}\)

\(\Large\underline{\textsf{Substitute:}}\)

\(\mathtt{Area = \pi(10)^{2}}\)

\(\mathtt{Area = 100 \pi}\)

\(\textsf{For our answer,} \ 100 \pi \ \textsf{is the \underline{exact answer} for the area of this circle.}\)

\(\Large\underline{\textsf{Evalulate 100 pi:}}\)

\(\mathtt{Area = 100 \pi \approx 314.16cm^{2}}\)

\(\textsf{314.16cm is the approximate area of this circle.}\)

the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.

The minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is as follows:

95% confidence, within 5 percentage points, and a previous estimate of 0.25.

The formula to calculate the sample size required for the study to determine the proportion is given by:

`n = Z²pq / E²`

Where n = sample size

Z = z-value (1.96 at 95% confidence interval)

E = margin of error

p = estimated proportion of the population

q = 1 - pp

q = estimated proportion of population without the condition (1 - 0.25 = 0.75)

Given,

Z = 1.96E = 0.05p = 0.25q = 0.75

Substituting these values in the above formula, we get;

`n = (1.96)²(0.25)(0.75) / (0.05)²``n = 384.16`

Therefore, the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.

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Answer:

(9,13)

Step-by-step explanation:

Graph it

Answer:x=6 x=-3

Step-by-step explanation:

3x(x^2-3x-18)=0

   (X-6)(x+3)=0

X-6=0.      X+3=0

 +6=+6.       -3=-3

X=6.             X= -3

The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

The given sequence is -4, 16, -64, 256,...

If we observe the sequence it is a geometric sequence

aₙ=a.rⁿ⁻¹

a is the first term and r is the common ratio

From the sequence the first term is -4 and common ratio is -4

aₙ=(-4).(-4)ⁿ⁻¹

Plug in the value n as 8

a₈=(-4).(-4)⁷

The value of minus four power seven is minus sixteen thousand three hundred eighty four

a₈=(-4)(-16384)

When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six

a₈= 65536

Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

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Answer:

the triangular portion is 12 ft.

Step-by-step explanation:

one side is 4 feet (2+2) 3 (10-7) and then to find the hypothenuse you do a squared+ b squared = c squared. so 4 squared + 3 squared = the square root of 25.  

The square root of 25 is 5

5+4+3=12

Hope this helps you!  

Answer:

-3/2

Step-by-step explanation:

We can find the slope between two points using

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

  = (-7 - -1)/(5 - 1)

  (-7+1(/(5-1)

  -6/4

  -3/2

Answer:

4

Step-by-step explanation:

i did khan :)

Step-by-step explanation:

-3(-x -3y) = 3( x +3y) = 3x+9y

Step-by-step explanation:

The fraction 2/3 can be expressed as a decimal value, which can then be related to a radio frequency. However, it's important to note that radio frequencies are typically measured in hertz (Hz) or kilohertz (kHz), rather than being represented as fractions.

To find a radio frequency that is equivalent to 2/3, we can convert the fraction to a decimal by dividing the numerator (2) by the denominator (3):

2 ÷ 3 = 0.666666...

Now, let's assume we want to find a radio frequency that is close to this decimal value. We can multiply the decimal value by a large number to obtain a reasonable frequency range. For example, multiplying 0.666666... by 1000 gives us 666.666...

Therefore, a radio frequency that is close to 2/3 would be approximately 666.666 kHz.

The given Cauchy-Euler equation is; x³y'' - 6x²y' + 7xy' - 7y = x², x > 0 The corresponding homogeneous equation is obtained by taking RHS = 0.

The homogeneous equation is; \(x³y'' - 6x²y' + 7xy' - 7y = 0\)

The auxiliary equation of the homogeneous equation is obtained by substituting  \(y = e^(rx) in it. x³r² - 6x²r + 7x - 7 = 0\)

Simplify the above equation,\(r = 1, 1, -7/x³\)

The general solution to the homogeneous equation is given by;

\(yh(x) = (c1 + c2 ln(x) + c3x^(-7)) x¹\)

Let's try to find the particular solution of the Cauchy-Euler equation.

Substituting this in the given equation, we get;

\((Ax² + Bx + C) (3x)² - 6(3x)(Ax + B) + 7(3x)(A + 2Bx) - 7(Ax² + Bx + C) = x²\)

Simplifying the above equation,

\(x²(2A - 7C) + x(14A - 18B) + 9A - 21B - 7C = x²\)

Comparing the coefficients of like terms, we get;

\(2A - 7C = 0 ...(i)14A - 18B = 0 ...(ii)9A - 21B - 7C = 1 ...(iii)\)

Solving the above equations,

we get; \(A = -1/3, B = -7/18 and C = -2/27,\)

the particular solution is given by;

\(y_p(x) = (-x² + (7/18)x - (2/27)) (x/3)²\)

Thus, the required solution to the given Cauchy-Euler equation is obtained above.

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Therefore, the particular solution is y_p = (1/7)x². To find the general solution to the given Cauchy-Euler equation, we will use the method of undetermined coefficients.

Since the fundamental solution set for the corresponding homogeneous equation is {x, 8x ln(3x), x}, we will look for a particular solution in the form of\(y_p = Ax² + Bx + C.\)  Differentiating twice, we have y_p" = 2A, and y_p' = 2Ax + B. Substituting these derivatives into the Cauchy-Euler equation.

we get:\(x³(2A) - 6x²(2A) + 7x(2Ax + B) - 7(Ax² + Bx + C) = x².\)

Expanding and simplifying, we have: \(2Ax³ - 12Ax³ + 14Ax² - 7Ax² - 7Bx - 7C = x².\)

Combining like terms, we get: \(-10Ax³ + 7Ax² - 7Bx - 7C = x².\)

Comparing coefficients, we have: -10A = 0,
7A = 1,
-7B = 0,
-7C = 0.

From the first equation, we find A = 0. From the second equation, we find A = 1/7. From the third equation, we find B = 0. From the fourth equation, we find C = 0. The general solution to the Cauchy-Euler equation is the sum of the particular solution and the homogeneous solution:

\(-10Ax³ + 7Ax² - 7Bx - 7C = x².\)

where C₁, C₂, and C₃ are constants determined by initial or boundary conditions. In this case, since no initial or boundary conditions are given, we cannot determine the values of C₁, C₂, and C₃.

Hence, the general solution is: \(y(x) = (1/7)x² + C₁x + C₂x ln(3x) + C₃x.\).

Please note that the general solution can have different forms depending on the initial or boundary conditions, but this is the general form for the given Cauchy-Euler equation.

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Answer:

\(x = 15.\)

Step-by-step explanation:

\(4x/5-x=X/10-9/2 = > \\ \frac{4x}{5 - x} = \frac{x}{10} - \frac{9}{2} \\ (20)4x = 2x(5x - x) - 10(5x - x) \\ 80x = 10 {x}^{2} - {2x}^{2} - 50x + 10x \\ 8 {x}^{2} - 120x = 0 \\ {x}^{2} = 15x \\ x = 15.\)

The intersection of the two lines has a y-coordinate of 4. In the conventional (x,y) coordinate plane, the meeting point is at (2,4).

To find the point of intersection between the lines y = x/2 + 3 and y = 3x - 2, we can set their equations equal to each other and solve for x:

x/2 + 3 = 3x - 2

Simplifying this equation, we get:

5/2 x = 5

x = 2

Now that we have found the x-coordinate of the intersection point, we can substitute it into either of the two equations to find the corresponding y-coordinate. Let's use the equation y = 3x - 2:

y = 3(2) - 2

y = 4

Therefore, the y-coordinate of the point of intersection of the two lines is 4. The intersection point is (2, 4) in the standard (x,y) coordinate plane.

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Answer:

b:    \(\frac{5-\sqrt{11} }{2}\)< x < \(\frac{5+\sqrt{11} }{2}\)  

c:  x < -5 , x > 7

Step-by-step explanation:

The dual linear program is as follows:

y1 + 4y2 - w1 = 1

2y1 + 3y2 + w2 = -2

-y1 + 4y2 + 2y3 >= 1

y1 - 2y3 <= 0

y2, y3 >= 0

The primal linear program is:

x1 + 2x2 - x3 + x4 >= 0

4x1 + 3x2 + 4x3 - 2x4 <= 3

-x1 - x2 + 2x3 + x4 = 1

x2, x3 >= 0

To find the dual, we introduce dual variables y1, y2, and y3 for the primal's three constraints, and w1 and w2 for the primal's two non-negativity constraints on x2 and x3, respectively.

The dual linear program is:

maximize 0y1 + 3y2 + y3

subject to:

y1 + 4y2 - w1 = 1

2y1 + 3y2 + w2 = -2

-y1 + 4y2 + 2y3 >= 1

y1 - 2y3 <= 0

y2, y3 >= 0

The objective function of the dual is the sum of the products of the primal's objective coefficients and the dual variables, which gives 0y1 + 3y2 + y3. The new objective is to maximize this expression subject to the dual constraints.

Note that the dual program is also written in standard form, with all inequality constraints replaced by equality constraints and non-negativity constraints.

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Answer:

£120

Step-by-step explanation:

If the phone has been discounted by 35%, then it is now 65% of the original price (as 100 - 35 = 65).

Divide the discounted price by 65 to find the amount per 1%, then multiply by 100 to get the original price.

(78 ÷ 65) x 100 = £120

Answer:

It was about $222.86

Step-by-step explanation:

1.) First cross multiply \(\frac{78}{x}\) x \(\frac{35}{100}\)  (new price over original price) x (percent over 100)

2.) 78 x 100 is 7800 and 35 x (x) is just 35x

3.) 35x=7800; So divide by 35 on both sides

4.) You get X= 222.857143 so about $222.86 was the original price

Answer:

20 minutes

Step-by-step explanation:

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Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

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Hence, x > 14.5 is the answer to the contradiction 12 + 6x > 99. This suggests that the inequality will be satisfied by any x value that is bigger than 14.5

"Inequality" in mathematics refers to the relationship between two reactions and quantities that is not the same as one another. As a result, inequality results from an imbalance.

You can use algebra to isolate one variable x solely on a single side of the inequality and utilize that information to solve the inequality 12 + 6x > 99.

The stages to resolving the inequality are as follows:

First, take 12 away both from sides of the inequality:

12 + 6x - 12 > 99 - 12

Simplify:

6x > 87

Then, to identify the variable x, split both side of the equality by 6:

6x/6 > 87/6

Simplify:

x > 14.5

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Answer:

  y = -1/3x +6

Step-by-step explanation:

You want the equation of the line through the point (3, 5) and perpendicular to y = 3x +2.

The slope-intercept form of the equation of a line is ...

  y = mx +b

where m is the slope, and b is the y-intercept.

Comparing this to the given equation, we see that m=3 for the given line.

The slopes of perpendicular lines are opposite reciprocals of one another. This means the slope of the line we want is ...

  desired slope = -1/m = -1/3

The slope-intercept equation above can be solved for b to give ...

  b = y -mx

Then the y-intercept for the line we want is ...

  b = 5 -(-1/3)(3) = 5 +1 = 6

The equation of the desired line is y = -1/3x +6.

__

Additional comment

Once you understand how to find the slope of the given line and of the desired line, you can write down the desired equation in point-slope form.

Given slope = 3; perpendicular slope = -1/3

Point-slope equation: y -k = m(x -h) . . . . line through (h, k) with slope m

  y -5 = -1/3(x -3) . . . . . line through (3, 5) with slope -1/3

The only "work" required is to rearrange this equation to whatever form you may want. In standard form it is x +3y = 18.

The total energy value from these stated amounts is 214 calories.

To calculate the total energy value (in calories) from the stated amounts of protein, carbohydrates, fat, and alcohol, we can follow these steps:
1. Protein: Multiply the amount of protein (8 grams) by the energy value of protein (4 calories/gram).
2. Carbohydrates: Multiply the amount of carbohydrates (25 grams) by the energy value of carbohydrates (4 calories/gram).
3. Fat: Multiply the amount of fat (6 grams) by the energy value of fat (9 calories/gram).
4. Alcohol: Multiply the amount of alcohol (4 grams) by the energy value of alcohol (7 calories/gram).
5. Add the resulting values from steps 1-4 to find the total energy value (in calories).
Applying these steps:
1. Protein: 8 grams * 4 calories/gram = 32 calories
2. Carbohydrates: 25 grams * 4 calories/gram = 100 calories
3. Fat: 6 grams * 9 calories/gram = 54 calories
4. Alcohol: 4 grams * 7 calories/gram = 28 calories
5. Total energy value: 32 + 100 + 54 + 28 = 214 calories.

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The value of the F ratio for testing the significance of this model is not 15.56.

For question 10, in a simple linear regression analysis, SST represents the total sum of squares, which measures the total variation in the dependent variable. SSE represents the sum of squared errors, which measures the variation that is not explained by the regression model.

To determine which statement is true, we need to compare the values of SST and SSE.


Now let's move on to question 14. The standard error of estimate is a measure of the variability of the observed values around the regression line. It is not directly related to the sum of the residual squared.

Therefore, the statement that the sum of the residual squared must be 120 is not necessarily true.

Lastly, for question 15, the F ratio is used to test the overall significance of a multiple regression model. It compares the explained variation (SST - SSE) with the unexplained variation (SSE) and takes into account the number of observations and number of explanatory variables.

Given that SST is 900 and SSE is 460, we can calculate the F ratio as follows:

F = ((SST - SSE) / number of explanatory variables) / (SSE / (number of observations - number of explanatory variables))

F = ((900 - 460) / 5) / (460 / (35 - 5))

F = 440 / 460

F ≈ 0.9565

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Answer:

D

All the other ones were correct sooo

Answer:

D because real numbers also are irrational.

Answer:

1cm/20mi = 4cm/x

1x = 80

x = 80

The answer is 80 miles