Consider the following declarations:class xClass{public:void func();void print() const;xClass ();xClass (int, double);private:int u;double w;};xClass x;a. How many members does class xClass have?b. How many private members does class xClass have?c. How many constructors does class xClass have?d. Write the definition of the member function func so that u is set to 10 and w is set to 15.3.e. Write the definition of the member function print that prints the contents of u and w

Answer:

Answer 50

Step-by-step explanation:

4(10) + 10

40+10

50

Answer:

5 pizzas and 17 sodas were bought

Step-by-step explanation:

Here, we want to get the number of pizza and sodas bought

Let n be the number of pizzas bought

we are told that the number of sodas bought was 2 more than 3 times the number of pizzas

So the number of sodas will be;

3n + 2

So let’s have the equations based on the prices;

pizzas cost $9.50, soda cost $1.25

Thus;

9.5n + 1.25(3n + 2) = 68.75

9.5n + 3.75n + 2.5 = 68.75

13.25n = 68.75 - 2.5

13.25n = 66.25

n = 66.25/13.25

n = 5

Number of pizzas bought is 5

number of soda is 3n + 2 = 3(5) + 2 = 15 + 2 = 17

Answer:

x - 7 , is the answer

Step-by-step explanation:

Step-by-step explanation:

\(\tt{(3x+5)+(2x-9)-(4x+3) }\) ⠀

\(\tt{3x+5+2x-9-4x-3 }\) ⠀

\(\tt{5x-4x+5-12 }\) ⠀

\(\tt{x-7 }\) ⠀

The ship captain should be turned 129.49 so it's heading straight for Island B.

Given Island A is 160 miles from Island B and the captain of a ship travels 170 miles from Island A and then discovers that he is off course and 200 miles from island B.

So we gave it

a = 200 feet

b = 170 feet

c = 160 feet

We need to find angle C which goes directly to island B.

We apply the "cosine law":

\(\begin{aligned}\cos C&=\frac{a^2+b^2-c^2}{2ab}\\ &=\frac{(200)^2+(170)^2-(160)^2}{2\times 200\times 170}\\ &=\frac{40000+28900-25600}{68000}\\ &=\frac{43300}{68000}\\ &=0.636\end\)

Now we multiply both sides by cos⁻¹, we get

cos⁻¹(cos C)= cos⁻¹(0.636)

C = 50.51

The interior angle is 50.51°

We need to find the outer angle to find the bearing the captain needs to turn

Applying the additional angle ruler:

The outside angle = 180 - 50.51 = 129.49°

Therefore, he must turn so as to head directly for Island B, where Island A is 160 miles from Island B and the captain is sailing 170 miles.

from Island A and then discovers that it is off-road and 200 miles away

Island B is 129.49.

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\(82 - 6(7 - 4) + 2 \\ 82 - 6(3) + 2 \\ 82 - 18 + 2 \\ 64 + 2 \\ 66\)

The value of the expression when it is simplified is 66.

The first step to remember the BODMAS rule. BODMAS stands for bracket, of, division, multiplication, addition and subtraction. It gives the order in which mathematical operations should be solved.

Answer:

x = 13

Step-by-step explanation:

The law for the sides of a 45°-45°-90° triangle is that the opposite sides will equate to 1-1-√2 (√2 being the hypotenuse).

It is given that the hypotenuse (the side opposite of the right angle) is the largest, and equates to √2. To solve for the 1-sides (x), simply divide the measurement of the hypotenuse by √2:

\(\frac{13\sqrt{2} }{\sqrt{2} } = 13\)

13 will be your length for x.

~

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Answer:

The length of the rectangle is 7x + 27

Step-by-step explanation:

Given;

area of the rectangle, A = 21x + 81 units²

width of the rectangle, w = 3 units

let the length of the rectangle, = L

Area of the rectangle = length x width

A = L x w

21x + 81 = 3L

L = ¹/₃(21x + 81)

L = 7x + 27

Therefore, the length of the rectangle is 7x + 27

Answer:

1. Rational

2. Rational

3. Irrational

4. Rational

5. Irrational

Answer:

y = (1/4)x+1.5

Step-by-step explanation:

a. The probability that a randomly chosen individual will test positive for TB, given that the frequency of TB in the population is 6%, is approximately 0.191.

b. The probability that a randomly chosen individual will test positive for TB, given that the frequency of TB in the population is 20%, is approximately 0.049.

Let's use Bayes' theorem to calculate the probabilities.

Let A be the event that the individual has TB, and B be the event that the individual tests positive for TB.

We want to find P(B|A') when the frequency of TB in the population is 6%, and P(B|A') when the frequency of TB in the population is 20%.

By Bayes' theorem, we have:

P(A|B) = P(B|A) * P(A) / P(B)

where P(B) can be calculated as follows:

P(B) = P(B|A) * P(A) + P(B|A') * P(A')

(a) When the frequency of TB in the population is 6%:

P(A) = 0.06 (given)

P(A') = 1 - P(A) = 0.94

P(B|A) = 1 - 0.2 = 0.8 (since the microscopy test comes out positive with probability 0.8 when the tested individual does have TB)

P(B|A') = 0.01 (since the microscopy test comes out positive with probability 0.01 when the tested individual doesn't actually have TB)

Therefore,

P(B) = 0.8 * 0.06 + 0.01 * 0.94 = 0.0492

And,

P(B|A') = P(B|A') * P(A') / P(B) = 0.01 * 0.94 / 0.0492 ≈ 0.191

So the probability that a randomly chosen individual will test positive for TB, given that the frequency of TB in the population is 6%, is approximately 0.191.

(b) When the frequency of TB in the population is 20%:

P(A) = 0.2 (given)

P(A') = 1 - P(A) = 0.8

P(B|A) = 1 - 0.2 = 0.8 (since the microscopy test comes out positive with probability 0.8 when the tested individual does have TB)

P(B|A') = 0.01 (since the microscopy test comes out positive with probability 0.01 when the tested individual doesn't actually have TB)

Therefore,

P(B) = 0.8 * 0.2 + 0.01 * 0.8 = 0.162

And,

P(B|A') = P(B|A') * P(A') / P(B) = 0.01 * 0.8 / 0.162 ≈ 0.049

So the probability that a randomly chosen individual will test positive for TB, given that the frequency of TB in the population is 20%, is approximately 0.049.

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The final value of the annuity after 20 years of quarterly payments at a 5% interest rate compounded quarterly is:

$29,238.49.

To calculate the final value of the annuity, we can use the formula:

FV = P * ((1 + r/n)^(n*t) - 1) / (r/n)

Where:
FV = Final value of the annuity
P = Quarterly payment ($200)
r = Annual interest rate (5%)
n = Number of compounding periods per year (4)
t = Number of years (20)

Plugging in the values, we get:

FV = 200 * ((1 + 0.05/4)^(4*20) - 1) / (0.05/4)
FV = $29,238.49

Therefore, the final value of the annuity after 20 years of quarterly payments at a 5% interest rate compounded quarterly is equal to $29,238.49.

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The variables that must be contained in Z for the model to be dynamically complete are as follows:Zt-2Zt-1Ztyt-2 Thus, the correct answer is (a), (b), (c), and (g). Hence, this is the required solution.

The following variables must be included in Z for the model to be dynamically complete: Zt-2, Zt-1, Zt, yt-2. Thus, the correct answer is (a), (b), (c), and (g).Explanation:According to the given information and model, for the model to be dynamically complete, it needs to include some variables in Z. To be precise, for a model to be considered as dynamically complete, all the past values should be included in Z. The given model is:y

= Bo + Bızı + Bazi-1 + $3Zt-2 + $4Z1-3 + up .Expected value of y, conditional on all current and past values of z and y, is equal to Ely,IZ.The variables that must be contained in Z for the model to be dynamically complete are as follows:Zt-2Zt-1Ztyt-2 Thus, the correct answer is (a), (b), (c), and (g). Hence, this is the required solution.

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The probability that the deal of a five-card hand provides a pair of aces is 0.0399

In this question, we have been given a deck of playing cards contains 52 cards, four of which are aces.

We need to find the probability that the deal of a five-card hand provides a pair of aces.

The sample space for given experiment is: choosing 52 cars choosing 5.

n(S) = 52C_5

We need to find the chance of getting a pair of aces, there are 4 aces in the pack on 2 of them.

So, n(A) = 4C_2

So that means there are 48 cards left which are not aces in the pack and want 2 of those.

So, the required probability is:

P(A) = (4C_2 * 48C_3) / 52C_5

P(A) = (6 * 17296) /2598960

P(A) = 103776 / 2598960

P(A) = 0.0399

Therefore, the required probability is 0.0399

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Answer:

96% percent and fraction is 24/25

Answer: Down below

Step-by-step explanation:

64 % = 16 / 25

21 / 50 = 0. 42

9 / 25 = 36 %

2 / 5 = 40 %

/ = divide okay

Exponential of 1 is equal to the number itself which means 1.

Exponent is usually described as the method of demonstrating large numbers in terms of powers. It means, exponent refers to the count, that how many times a number is multiplied to itself to calculate that exponent.

In accordance with the exponent rule, any number raised to power of 1 would always be equal to 1 that is because it doesn't matter how many times we multiply 1 to itself. It is going to yield 1. For example, multiplying 1 hundred times i.e. 1^100 also results in 1.

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Jerry worked for 4.3 hours to install the equipment based on a rate of $20 per hour.

This problem can be solved using a linear equation.

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable raised to the power of 1.

Let's say the number of hours Jerry worked to install the equipment is "h".

According to the problem, Jerry charges $50 to schedule a repair visit, which means that the remaining amount after deducting the scheduling fee from the total bill ($136) is used to pay for the equipment installation.

So, the amount Jerry earned from the equipment installation is:

$136 - $50 (scheduling fee) = $86

We know that Jerry charges $20 per hour to install equipment. Therefore, the equation we can set up is:

$86 = $20 × h

Solving for "h", we get:

h = $86 / $20 = 4.3 hours (rounded to one decimal place)

Therefore, Jerry worked for 4.3 hours to install the equipment.

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The surface area of this locker is 432 square centimeters .

The right rectangular prism shown in the figure has dimensions 8 cm (length) x 6 cm (width) x 12 cm (height).

1. The top and bottom faces are both rectangles with dimensions 8 cm (length) x 6 cm (width). The area of each face is:

A = length x width = 8 x 6 = 48 cm²

Since there are two of these faces, the total area is:

2 x 48 = 96 cm²

2. The front and back faces are also rectangles with dimensions 8 cm (length) x 12 cm (height). The area of each face is:

A = length x height = 8 x 12 = 96 cm²

the total area is:

2 x 96 = 192 cm²

3. The left and right faces are rectangles with dimensions 6 cm (width) x 12 cm (height). The area of each face is:

A = width x height = 6 x 12 = 72 cm²

the total area is:

2 x 72 = 144 cm²

4. Therefore, the total surface area of the locker is the sum of all the faces:

Total surface area = 96 + 192 + 144 = 432 cm²

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The frequency of the dominant allele in the population is 0.6.

Let's begin with the fundamental Hardy-Weinberg equations.

p + q = 1 and p² + 2pq + q² = 1

whereby "q" is the recessive allele and "p" is the dominant allele.

Recessed traits are present in 16% of people, or 0.16 percent. This indicates the percentage of the population that possesses the recessive trait,

q², is 0.16.

It is possible to calculate q using the value for q². What comes next is that q = 0.4.

This information allows for the calculation of "p".

1 − q = p , which results in "p" being 0.6.

This 0.6 is the frequency at which the dominant allele is prevalent in the population.

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The complete question is:

In a population that is in Hardy-Weinberg equilibrium, 16% of the individuals show the recessive trait. What is the frequency of the dominant allele in the population?

Answer:

B = -5x + 30

Step-by-step explanation:

y= mx+b

m = slope = rise/run = -5

b = y-int = 30

Answer:

B = -5x + 30

Step-by-step explanation:

y= mx+b

m = slope = rise/run = -5

b = y-int = 30

Answer:

\({ \tt{( {x}^{2} + 5x + 2) - (5 {x}^{2} - x - 2) }} \\ = { \tt{(1 - 5) {x}^{2} + (5 + 1)x + (2 + 2)}} \\ = { \tt{ - 4 {x}^{2} + 6x + 4 }} \\ = { \tt{ - 2(2 {x}^{2} - 3x - 2) }}\)

The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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Answer:

132 and 88

Step-by-step explanation:

If there are 20% more boys than girls, then this means that the total percentage of boys us 60% and girls is 40%.

0.6 * 220 = 132

0.4 * 220 = 88

There are 132 boys and 88 girls in year 9

Answer:

The third number from the end :3

Step-by-step explanation:

Hope this helps ^^

z_1 and z_2 are complex number;

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:

i) To find z₁z₂, we multiply the magnitudes and add the angles:

z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))

= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))

= 8cos(7π/12) + isin(7π/12)

ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:

z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))

= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2

= 2cos(π/12) + isin(π/12)

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

Please note that the given calculations are based on the provided complex numbers and their angles.

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Answer:

0 is sea level, in feet.  0 feet above sea level = sea level.

Step-by-step explanation:

23,267 feet is defined as "above sea level."  That would mean that sea level is set at 0 feet, as a reference point.  If a height was given with the description "above Earth's center," the Earth's center would be assigned a value of 0 feet.  It is similar to a statements of distance, such as a person in Portland, OR, stating that "It is 174 miles to Seattle, WA."  The reference point is Portland, OR, which in this context 0 miles is Portand, OR.

The answer to your question which are examples of non-visible light is A:radio waves and ultraviolet light

All the options given from option A to D are all electromagnetic waves since light is an electromagnetic wave.

Since both options in option A are both non-visible light,

The answer to your question which are examples of non-visible light is A:radio waves and ultraviolet light

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The maximum height of the rocket is 50 meters.

The path of a particular fireworks rocket is modeled by the given equation:

\($$h(t) = -5t^2 + 30t + 5$$\)

where h is the height of the rocket in meters and t is the time in seconds. To find the maximum height of the rocket, we need to find the vertex of the parabola. We can do this by using the formula:-

b/2a for the t-coordinate and then substitute the value of t in the equation to find the corresponding height. The general form of a quadratic function is given as

\($$f(x)=ax^2+bx+c$$\)

where a, b, and c are constants; a ≠ 0.

The vertex of the quadratic function is given as

\($$( -\frac{b}{2a},f(-\frac{b}{2a}))$$\)

Therefore, the formula for the t-coordinate of the vertex of the parabola is:

\($$t = -\frac{b}{2a}$$\)

Here, a = -5 and b = 30. Substituting these values in the above formula, we get:

\($$t = -\frac{30}{2(-5)} = 3$$\)

The corresponding height can be found by substituting t = 3 in the equation for h(t):

\($$h(3) = -5(3)^2 + 30(3) + 5 = 50$$.\)

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Answer: the answer is 6x³ + 24x² + 18x - 12!

Step-by-step explanation: