What is the value of |โ32|?

A statement that describes the result of running the code segment is: the number 10 is displayed

The correct answer is an option (B)

In this question, we have been given the program code.

We need to select a correct statement that describes the result of running the code segment.

Consider the given code.

Start by setting n and sum to 0.

Add the value of n to sum. The first time, the value of n is 0, so sum remains 0.

Increment n by 1, so now the value of n is 1.

The Boolean condition (n = 5) is still false, so the loop will run again. Add 1 to sum (which is now 1), and then increment n (so n is now 2).

Repeat this three more times (while the value of n = 2, 3, and 4)

Increment n, so the value of n is now 5. Now the Boolean condition is true, so the loop stops.

Display sum is 10

Therefore, the result of running the code segment : the number 10 is displayed

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The complete question is:

Consider the following program code.

Which of the following best describes the result of running the program code?

A. The number 0 is displayed.

B. The number 10 is displayed.

C. The number 15 is displayed.

D. Nothing is displayed; the program results in an infinite loop

The fraction that will be equivalent to 5/8 with a denominator of 16 is 10/16

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

Fraction = 5/8

This fraction is to be converted to a fraction  with a denominator of 16

This is so because the scale only measures in 16ths

So, we have the following representation

Fraction = 5/8

When 8 is multiplied by 2, the result is 16

So, we multiply 5 and 8 by 16

This gives

Fraction = 10/16

Hence. the solution is 10/16

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The maximum height will be 141.5 feet.

What is quadratic equation

it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.

The function will be f(t) = -16t² + 60t + 20

at ground f(t) = 0

So, 4t² - 15t - 5 = 0

t = (15+√305) / 8

t = 4.05sec.

The maximum height will be in 2.025 sec = 60 * 2.025 = 121.5 feet. + 20feet.

Hence the maximum height will be 141.5 feet.

Hence the value of k is 0.33.

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Answer: The number line that you really want to move is the right side. Then, at that point, the right choice is C.

What is a number line?

A number line alludes to a straight line in science that has numbers organized at customary stretches or divides along its width. A number line is frequently shown on a level plane and can be delayed toward any path.

On the off chance that you are at - 15 on the number line and you needed to push toward the positive numbers

The number line that you need to move in the right side. Then the correct option is C.

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Step-by-step explanation:

Answer:

h(t) - 94t + 129.

Step-by-step explanation:

The best approximation for the area of a circle with a diameter of 19 meters is 283.4 m².

What is the diameter?

Any straight line segment that cuts through the center of a circle and has ends that are on the circle is considered a circle's diameter in geometry. It is also known as the circle's longest chord. The diameter of a sphere can be defined using either of the two methods.

Here, we have

the area of a circle with a diameter of 19 meters.

By using the area formulas, we get

A = πr²

d = 2r

Solving for A

A = 1/4πd²

= 1/4×π×19²

≈283.52874m²

Hence, the best approximation for the area of a circle with a diameter of 19 meters is 283.4 m².

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The equivalent measure of the angle when converted from radians to degrees is 128.57 degrees

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

Angle = \large \frac{5\pi}{7}radians to degrees.

This angle can be properly expressed

So, we have the following representation

Angle = 5π/7 radians

Also, the angle can be further expressed

So, we have the following representation

Angle = 5/7 π radians

As a general rule of angle conversion, we have

π radians = 180 degrees

Substitute the known values in the above equation, so, we have the following representation

Angle = 5/7 * 180 degrees

Evaluate the products

Angle = 128.57 degrees

Hence, the measure of the angle in degrees is 128.57 degrees

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Answer the angle when converted from radians to degrees is 128.57 degrees

Angle = 5π/7 radians

Angle = 5/7 π radians

π radians = 180 degrees

Angle = 5/7 * 180 degrees

Evaluate the products

Angle = 128.57 degrees

The adult dose for the decongestant is 2.7 milligrams.

The information can be illustrated through an expression. Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Since for a 45-pound child, the adult dose should be multiplied by 0.3, When the child's dose of a decongestant is 9 milligrams, the adult dose will be:

= Children dose × 0.3

= 9 × 0.3

= 2.7

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When used inside a function with a parameter, an asterisk groups a variable number of positional arguments into a single tuple of parameter values

Tuples are utilized to store different things in a solitary variable. A tuple is one of 4 implicit information types in Python used to store assortments of information, the other 3 are Rundown, Set, and Word reference, all with various characteristics and use. A tuple is an assortment that is requested and unchangeable. At the point when we say that tuples are requested, it implies that the things have a characterized request, and that request won't change. Python likewise incorporates the * administrator, which permits you to make another rundown with the components rehashed the predetermined number of times. *args permits us to pass a variable number of non-catchphrase contentions to a Python capability. In the capability, we ought to utilize a bullet ( * ) before the boundary name to pass a variable number of contentions.

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Answer:

2,144

Step-by-step explanation:

[tex]\frac{15000 - 1600}{6.25}[/tex]  The number of visitors during the time period divided by the total hours.  

2,144

Therefore , 48 kilometers per second is the speed of Mercury as it orbits the Sun. Mercury's distance from Earth is 96 kilometers in 2 seconds.

An object's speed can be determined by calculating the distance it covers in a given amount of time. For instance, an automobile is moving at 70 miles per hour if it covers 70 miles in an hour (miles per hour).

Here,

The speed of Mercury as it orbits the Sun is 30 miles per second.

In kilometers/second, Mercury's rate of rotation around the Sun

= 30 1.6 kilometers per second

= 48 kilometers/second

Mercury will move right now in 2 seconds.

=> equals 48 + 2 kilometers

=> 96 kilometers.

Therefore , 48 kilometers per second is the speed of Mercury as it orbits the Sun. Mercury's distance from Earth is 96 kilometers in 2 seconds.

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Answer:

[tex]a_{n}[/tex] = 8n + 17

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence

33 - 25 = 41 - 33 = 8

this indicates the sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 25 and d = 8 , then explicit formula is

[tex]a_{n}[/tex] = 25 + 8(n - 1) = 25 + 8n - 8 = 8n + 17

The sphere with 16 inches diameter would hold 2144in^3 of air.

A sphere is a three-dimensional object that is round in shape. The sphere is defined in three axes, i.e., x-axis, y-axis and z-axis. This is the main difference between circle and sphere. A sphere does not have any edges or vertices, like other 3D shapes.

The points on the surface of the sphere are equidistant from the center. Hence, the distance between the center and the surface of the sphere are equal at any point.

The radius of spere = diameter / 2 which is 16/2

radius = 8 inches.

The volume(V) of a sphere is 4/3 πr^3

where r = radius of sphere,  π = constant = 3.14

V = 4/3 x 3.14 x (8)^3

V = 2144 in^3

In conclusion the sphere can hold 2144in^3 of air

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Answer:

[tex]\dfrac{2}{3}x \geq 250[/tex]

Step-by-step explanation:

Let x be the number of students in the senior class.

If two-thirds of the seniors bought prom tickets and a minimum number of 250 tickets needs to be sold, the inequality that models this scenario is:

[tex]\boxed{\dfrac{2}{3}x \geq 250}[/tex]

Solving the inequality:

[tex]\implies \dfrac{2}{3}x \geq 250[/tex]

[tex]\implies 2x \geq 250 \cdot 3[/tex]

[tex]\implies 2x \geq 750[/tex]

[tex]\implies x \geq 750 \div 2[/tex]

[tex]\implies x \geq 375[/tex]

Therefore, there must be at least 375 students in the senior class to ensure they sold enough tickets to keep the venue.

Answer: Unimodal and Right Skewed

Explanation:

When almost all the data is falls to the right of the graph's peak is known as a right skewed histogram.

A left skewed histogram would have almost all the data falling to the left of the graph's peak.

A histogram is described as uniform if every value in a dataset occurs roughly the same number of times. There are usually no peaks and the data set looks similar to a rectangle.

A Symmetric histogram would be symmetrical, both side of the peak of the graph are mirrored/completely identical.

I hope this helps to better understand :)

Acceleration resulting from gravity will be = (-9.8 ms sq.)

First of all we have to know more about gravity which means it is the force by which a planet or other body draws objects toward its center. The force of gravity keeps all of the planets in orbit around the sun.

When you throw a ball up in the air, its speed decreases, until it momentarily stops at the very top of the ball's motion. Its acceleration is

(−9.8 ms sq )

at the very top since the body is moving upward against the gravity. In other words, the acceleration due to gravity will be

g = 9.8 ms -sq

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1) To determine the surface area of a right cone, we must know the radius of the circular base and height of the cone.

2) To determine the surface area and volume of a sphere, we must know the radius of the sphere.

3) The volume of the sphere with a great circle of radius 7 cm is 1436.75 cubic centimeters

4) The area of a regular pentagon with radius 5, and each side of length 6 is 45 square units

To determine the surface area of a right cone:

The formula for the surface area of a right cone is,

A = πr[r + √(h² + r²)]

this means, to determine the surface area of a right cone, we must know the radius of the circular base and height of the cone.

To find the surface area and volume of a sphere:

The formula for the surface area of sphere is,

A = 4πr²

and the formula for the volume of sphere is,

V = 4/3 πr³

This means, to determine the surface area and volume of a sphere, we must know the radius of the sphere.

For a sphere with radius r = 7 cm the volume would be,

V = 4/3 * π * 7³

V = 1436.75 cubic centimeters

Now we need to find the area of a regular pentagon with radius 5, and each side of length 6.

The formula for the area of a regular pentagon is:

A = 1/2 × P × a

where 'p' is the perimeter of the pentagon and 'a' is the apothem of a pentagon.

The perimeter of the pentagon is:

P = 5 * side lengths

P = 5 * 6

P = 30 units

We know that an apothem of a regular polygon is a radius of the inscribed circle.

From given dimensions, a = 5 units

so, the area of a regular pentagon would be,

A = 1/2 × 30 × 5

A = 45 square units

Therefore, the area of a regular pentagon is 45 square units

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Therefore, the equation having solution x=5 are option b) x+2=7 ,Option c) 3x=15 and Option e)x-5=0

equation, a declaration of equivalence between two expressions with variable- and/or number-filled expressions. In essence, equations are questions, and efforts to discover a method for answering them have fueled the growth of mathematics.

Here,

A.)20 - x = 5

B) x + 2 = 7

C) 3x = 15

D) 5x = 15

E) x- 5 = 0

So, the equation which has solution as x=5 are:

Option b) x+2=7

=>x+2=7

=>x=7-2

=>x=5

Option c) 3x=15

=> 3x=15

=> x=15/3

=> x=5

Option e)x-5=0

=>x-5=0

=>x=5

Therefore, the equation having solution x=5 are option b) x+2=7 ,Option c) 3x=15 and Option e)x-5=0

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Using sum of infinite series in a geometric progression, the total number of jumps is 40 inches

A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term.

The jumps are infinite and to find the total distance, we can use the equation given;

S = a(1 / 1 - r)

The first term (a) = 20 in

The common ratio = 10 / 20 = 1/2 = 0.5

Substituting the values into the equation;

S = 20(1 / 1 - 0.5)

S = 20(1 / 0.5)

S = 20 * 2

S = 40 in

The total distance is 40 inches

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The expected mean of the sampling distribution and the standard deviation of the sampling distribution is $29.50.

Standard deviation

In statistics, standard deviation refers  the square root of variance by determining each data point's deviation relative to the mean.

Given,

Here we know that a statistics student is trying to decide whether she should take a gamble and play bingo. And the average bingo player earns $9 per game, distributed normally, with a population standard deviation of $8.

And we need to find if a sample of 25 bingo players are selected at random from the population, select the expected mean of the sampling distribution and the standard deviation of the sampling distribution below.

0; = $0.32 0; = $8 O = $1.60 Mi = $9 Hi = $1.80

Here the standard deviation of the sample distribution is calculated as,

=> σₓ = √1.80 = 1.34

Here we know that the distribution is normal then the mean of the sampling distribution is equal to the mean of the population, based on this theory, the resulting value is $29.50.

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The measure of the central angles of the circle are, respectively:

m ∠ BOC = 60°

m ∠ COD = 120°

m ∠ AOD = 60°

m ∠ AOB = 120°

m ∠ DOB = 180°

In this problem we find a geometric system formed by a circle, two parallel lines and two additional lines that intersect each other at the center of the circle. Then, the angles DOC, COB, AOB and DOB are central angles of the circle such that:

m ∠ DOC + m ∠ COB + m ∠ AOB + m ∠ DOB = 360°

Then, by direct inspection, we find that the measures of the central angles are, respectively:

m ∠ BOC = 60°

m ∠ COD = 120°

m ∠ AOD = 60°

m ∠ AOB = 120°

m ∠ DOB = m ∠ COD + m ∠ BOC = 120° + 60° = 180°

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The value of X is 22.

Value is regard that something is held to deserve,  the important worth or usefullness of something.

The calculation is as follows:

In the case of an isosceles trapezoid if there is any lower base angle is supplementary to any upper base angle.

So,  

6x + 2x + 4 = 180

8x + 4 = 180

8x = 176

x = 22

Therefore we can conclude that The value of X is 22.

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You can compute amplitude as well, but this is quicker. There will be a reflection in the x axis, as shown by the negative sign before the number 2.

The maximum displacement or distance made by a point on a vibrating body or wave relative to its equilibrium location is known as the amplitude in physics. It is equivalent to one-half of the vibration path's length.

Amplitude:

[tex]Found right in the equation the first number:\\ y=-2-cos2(x+4)-1[/tex]

You can compute it as well, but this is quicker. There will be a reflection in the x axis, as shown by the negative sign before the number 2.

Period:

[tex]First find k in equation:\\ y=−2cos2−(x+4)−1[/tex]

Then use this equation:

[tex]period=2\pi /k\\period=2\pi /2\\period=\pi[/tex]

Phase Shift:

[tex]y=-2cos2(x+4)-1[/tex]

The graph will move 4 units to the left, according to this section of the equation.

Vertical Translation:

[tex]y=-2cos2(x+4)-1[/tex]

The -1 tells you that the graph will shift 1 unit down.

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The time taken by the baseball in the air if the ball is not caught is 4.513 seconds.

Here we have to find the time taken by the baseball.

Given data:

The quadratic function is given:

f(x) = 16x² + 70x + 10

To find the value of x we have to formula:

x = ±b [tex]\sqrt{b^{2} - 4ac}[/tex] / 2a

from the equation we get the value of a, b, and c as:

a = -16

b = 70

c = -10

now putting in the equation we have:

x = -70 ±[tex]\sqrt{70^{2} -4(-16)(10)}[/tex] / 2(-16)

  = -70 ±[tex]\sqrt{4900 + 640}[/tex] / -32

  = -70 ± √5540 / -32

  = - 70 ± 74.43 / -32

By calculating this we get two values:

x = -0.138 and 4.513

Time can never be negative so.

x = 4.513

Therefore the time taken is 4.513 seconds.

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The fraction 2/5 added by 3/4 will be 1 3/20.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.

The fraction will be illustrated thus:

=✓2/5 + 3/4

= 8/20 + 15/20

= 23/20

= 1 3/20

The value is 1 3/20.

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The amount of Amy earn if she sold her shares today will be;

⇒ $8,038

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Amy purchased 100 shares of Monsanto Company for $66.10 per share.

Today the stock is selling for $80.45.

And, a charge of $7.00 to buy and sell.

Now,

Since, Today the stock is selling for $80.45.

And, A charge of $7.00 to buy and sell.

Hence, The amount for Amy earn if she sold her shares today is;

⇒ $80.45 × 100 - $7

⇒ $8,045 - 7

⇒ $8,038

Thus, The amount of Amy earn if she sold her shares today will be;

⇒ $8,038

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Answer:

Below

Step-by-step explanation:

(x-10)^2 = 90     sqrt both sides

x-10  =  ± sqrt (90)

x  =   10 ± sqrt (90)

The 95% confidence interval to estimate the proportion of students on financial aid = (0.522, 0.658)

In this question we have been given a university dean is interested in determining the proportion of students who receive some sort of financial aid.

Let p be the population proportion of students who receive some financial aid.

The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.

i.e. n= 200

p{hat} = 118/200 = 0.59

We know that the critical value for 95% confidence interval : z = 1.96

The standard deviation would be,

σ = √[p{hat}(1 - p{hat})/N]

σ = √0.59(1 - 0.59)/200

σ = √(0.0012095)

σ = 0.0348

The 95% confidence interval for population proportion would be,

(0.59 ± (1.96 * 0.0348))

= (0.59 - (1.96 * 0.0348), 0.59 + (1.96 * 0.0348))

= (0.5218, 0.6582)

Therefore, the 95% confidence interval : (0.522, 0.658)

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Answer:

17 $

Step-by-step explanation:

let y  - total cost of a gift

x - price of the gift

the total cost of the gift is its price + 14% delivery, which can be written as:

y = x + 14% * x = x + 0.14x = 1.14 x

by making the substitution with the data from the task

19.38 = 1.14*x

x = 19.38/1.14 = 17