What Is The Answers? (2024)

By using fractions and decimals, it can be calculated that

Between bottle 2 and bottle 4 is the volume of the bottle that Piyush opened

What is fraction and decimal?

Suppose there is a collection and a part of collection has to be taken. The part which is taken is called fraction. In other words, part of a whole is called fraction.

The upper part of the fraction is the numerator and the lower part of the fraction is the denominator.

This is a word problem of fraction and decimal

For bottle 1

Difference between the actual volumes and the average volume = [tex]\frac{9}{10}[/tex] = 0.9 oz

For bottle 2

Difference between the actual volumes and the average volume = -1.1 oz

For bottle 3

Difference between the actual volumes and the average volume = [tex]1\frac{1}{4}[/tex] = 1.25 oz

For bottle 4

Difference between the actual volumes of some bottled teas and the average volume = -0.4 oz

Now 0.75 oz lies between -0.4 and 0.9

Between bottle 2 and bottle 4 is the volume of the bottle that Piyush opened

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The sum of the areas of the enclosed regions is 2.004 , and -3.811 the rate at which h changes with respect to x when x = 1.8 .

Given : f(x) = 1 + x + e^x^2 - 2x and g(x) = x^4 - 6.5x^2 + 6x + 2

The graphs of y = f(x) and y = g(x) intersect in the first quadrant at the points (0, 2), (2, 4), and (A, B) = (1.032832, 2.401108).

(a) the sum of the areas of the enclosed regions is given by

Area =

[tex]\int\limits^A_0[[g(x) - f (x)] dx +\int\limits^2_A [f(x) - g(x)] dx[/tex]

= 0.997427 +1.006919

= 2.004

(b) the sum of the volumes of the enclosed regions is given by

Volume = [[ƒ(x) − g(x)]² dx = 1.283

(c) the rate at which h changes with respect to x when x = 1.8

h(x) = f(x) = g(x)

h'(x) = f'(x) - g'(x)

h'(1.8) = f'(1.8) g'(1.8)

=-3.812 (or -3.811)

Hence , the sum of the areas of the enclosed regions is 2.004 , and -3.811 the rate at which h changes with respect to x when x = 1.8 .

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The solutions of the original equation are x = -1.5, 1.5, 1/√[3].

To solve this equation, we can factor the left-hand side as follows:

x^-9 - 6x^3 + 6 = (x^-3 - 2)(x^6 + 3x^3 + 3) = 0

We can then solve for the roots of the equation by setting each factor equal to zero:

x^-3 - 2 = 0 -> x^-3 = 2 -> x = 2^(-1/3) = 1/√[3]

x^6 + 3x^3 + 3 = 0 -> x^6 + 3x^3 = -3 -> (x^3)^2 + 3(x^3) = -3 -> x^3 = (-3 ± √[9 - 4])/2 = -1.5, 1.5

Thus, the roots of the original equation are x = -1.5, 1.5, 1/√[3].

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The percentage of the class members can roll their tongues is 75%

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Total class members = Total Number of Boys + Total Number of Boys

= 58 + 78

= 136

Total class members who can roll their tongues

= Number of boys who can roll their tongues + Number of girls who can roll their tongues

= 40 + 62

= 102

Percentage of the class members can roll their tongues

= (Total class members who can roll their tongues ) / (Total class members )

= 102/136

= 0.75

= 75%

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No, a sphere is a three-dimensional object, while a circle is two-dimensional.

A sphere is a three-dimensional object with a curved surface made of points equidistant from its center. It is the three-dimensional equivalent of a circle. A sphere is round and has no edges or vertices, like a circle, but it also has a thickness, like a solid object. The circumference of a sphere is the same as the circumference of a circle with the same radius. It is possible to calculate the surface area and volume of a sphere using the formula for the area and volume of a circle.A circle is a two-dimensional shape with a curved line that is equidistant from its center. The circumference of a circle is the length of its curved line. It is possible to calculate the area and circumference of a circle using the formula for the area and circumference of a circle. Unlike a sphere, a circle does not have a thickness, and it has no edges or vertices.

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The additive inverse of 7/(-12) is 7/12.

What is Additive Inverse?

To get a result equal to 0, add the original number and the additive inverse by simply changing the sign of the integer. On the basis of negation of the original number, the characteristics of additive inverse are listed below. For instance, if x is the starting number, then -x is x's additive inverse.

Given:

7/-12

Usually in additive inverse we have to changing the sign of the number and adding it to the original number to get an answer equal to 0.

As, x + (-x)= 0 here (-x) is the additive inverse of x.

Now, 7/(-12) can be written as (-7/12).

Additive inverse of (-7)/12 is +(7/12)

So, -7/12+ 7/12 = 0

Hence, the additive inverse of 7/(-12) is 7/12.

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The equation has no solution because p cannot be found. Therefore, the answer is option d.

How to solve an equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

We have to find he variable of the equation p.

A variable is a number represented with a letter in an equation.

Therefore, let's find the variable p in the equation.

4(4 - 2p) - p = -3(3p + 5)

open the bracket

8 - 8p - p = -9p - 15

8 - 9p = -9p - 15

add 9p to both sides of the equation

8 - 9p = -9p - 15

8 - 9p + 9p = -9p + 9p - 15

8 = -15

Therefore, the equation has no solution.

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Answer:

b is the correct geometry because there is vertices and coordinates

There are 160 people in 2 tours, 320 people in 4 tours, and 720 people in 9 tours. The ordered pair is plotted on the graph attached.

Based on the information provided, there are 80 people in each group. The number of people in given number of tours is given by: No of people = 80 x No of tour

No of tour = 2

No of people = 80 x 2 = 160

No of tour = 4

No of people = 80 x 4 = 320

No of tour = 9

No of people = 80 x 9 = 720

Hence, the ordered pair described by the data is (2, 160), (4, 320), and (9, 720). An ordered pair refers to a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. Plot the ordered pair on the graph

Note: The question is incomplete. The complete question is attached.

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An equation of a direct proportion is y=−2x, y=4x

What is direct proportion?

By definition, an equation of direct proportion has the following form: y=k x

Where k is the constant of proportionality.

The equation of the line y=m x+b, where m is the slope and [tex]$\mathrm{b}$[/tex] the [tex]$\mathrm{y}$[/tex] intercept.

When b=0, means that the line passes through the origin. Therefore, it would be:

y=m x

(which is similar to y=k x )

Then, the slope of the line would be the constant of proportionality.

By definition, the slope can be positive or negative.

Keeping on mind the information above, you can see that the equation that have that form are:

y=-2 x

y=4 x

Complete question: Which is an equation of a direct proportion? y=−2x y=12x−2 y=−2x+3 y=4x

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Charlie played 50 minutes at the playground. He arrived at the playground at 3.10 pm.

Steps to translate a word problem into an algebraic expressions or to equations:

- Highlight the important things

- Use mathematic operators plus, minus, divide, times, equal to, inline with the text.

- Identify the unknown

- Assign the unknowns to variables

- To solve the equations, isolate the variables.

In given problem:

He played on the swings for 20 minutes and went on the slide for 30 minutes.

The word "and" can be translated as addition. Hence,

Total time Charlie at the playground = 20 minutes + 30 minutes

= 50 minutes

Let x = time when Charlie arrived at the playground.

Hence,

x + 50 minutes = 4.05 pm

To use mathematic operators on clocks, write 4.05 pm and 50 minutes as:

4.05 = 3.65

50 minutes = 0.50

x + 0.50 = 3.65

x = 3.65 - 0.50 = 3.10

Therefore, Charlie arrived at the playground at 3.10 pm.

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By using a² + b² = c² this formula we can find the missing side of a triangle.

A triangle is right-angled if one of the three angles is 90°, i.e., any two sides are perpendicular.

If we know two other sides of the right triangle, all you need to do is apply the Pythagorean theorem:

a² + b² = c²

If leg a is the missing side, then transform the equation to the form where a is on one side and take a square root:

a = √(c² - b²)

If leg b is unknown, then:

b = √(c² - a²)

For hypotenuse c missing, the formula is:

c = √(a² + b²)

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4 categories and 2 numerical variables make up the total number of factors.

What is numerical and categorical variable?

A category or type is a categorical variable. For instance, hometown or hair color are both examples of categorical values. Gender, species, and method of therapy are all categorical variables.

Any variable where the measurement or number has a numerical value is referred to as a numerical variable. For instance, the amount of rain measured in inches, the heart rate, and the number of cheeseburgers eaten in an hour are all numerical values.

For statistical purposes, a categorical variable can be written as a number, but these numbers don't signify the same thing as a numerical value.

For instance, if I were researching how three different pharmaceuticals affect a disease, I might use the names Medicine 1, Medicine 2, and Medicine 3. However, medicine three is not more effective than medicine one, nor is it any faster. These figures don't imply anything.

Hence, 4 categories and 2 numerical variables make up the total number of factors.

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The solution for the given equation would be 0, -1, ±2i.

Option (A) is correct.

What are quartic polynomials?

Quartic is polynomials whose highest degree is four. There is no special formula for finding the roots of quartic functions, but there are three mathematical methods that could help find the roots.

The given equation is [tex]x^4 + x^3 + 4x^2 + 4x = 0.[/tex]

Multiplicity: 1, x1=−1

Multiplicity: 1, x2=−2i=−2.0i

Multiplicity: 1, x3=2i=2.0i

Multiplicity: 1, x4=0

Hence, the solution for the given equation would be 0, -1, ±2i.

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The answer to the nearest whole percent is:

366% of 44 = 161 (option b)

Percent means per a hundred. Percent is equal to a fraction of a hundred.

For example, 60% = 60/100.

To convert a fraction into a percent form, find its equivalent fraction with denominator 100.

Example:

3/4 is equivalent to 75/100. Hence,

3/4 = 75/100 = 75%

To multiply a percent with a whole number, convert the percent into its equivalent fraction.

In the given problem:

__% of 44 = 161

[tex]\frac{...}{100}\times44=161[/tex]

Let assign the unknown to a variable p

(p/100) x 44 = 161

p = 161 x 100 / 44

p = 365.9 ≈ 366

Hence,

366% of 44 = 161 (option b)

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An equivalent system of equations to the given system equations are 5Fx+5Gy=5H and Qx+Ry=S. Therefore, option C is the correct answer.

What are equivalent system of equations?

Equivalent system of equation is that system of equations in which solution does not change. If a constant multiplied on both sides of an equation then solution of equation remain same.

The given system of equations are Fx+Gy=H and Qx+Ry=S.

A) 5Fx+5Gy=5H

First equation is multiplied by 5 but the value remains same as original equation Fx+Gy=H

Second equation Qx−Ry=S is not same as original equation Qx+Ry=S

B) First equation 5Fx+Gy=5H is not same as original equation Fx+Gy=H

Second equation Qx+5Ry=S is not same as original equation Qx+Ry=S

C) First equation 5Fx+5Gy=5H is multiplied by 5 but the value remains same as original equation Fx+Gy=H

Second equation Qx+Ry=S is same as the original equation Qx+Ry=S

D) First equation Fx+5Gy=5H is not same as original equation Fx+Gy=H

Second equation Qx+Ry=S is same as the original equation Qx+Ry=S

An equivalent system of equations to the given system equations are 5Fx+5Gy=5H and Qx+Ry=S. Therefore, option C is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Choose an equivalent system of equations to the following system:

Fx+Gy=H

Qx+Ry=S

A. 5Fx+5Gy=5H

Qx−Ry=S

B. 5Fx+Gy=5H

Qx+5Ry=S

C. 5Fx+5Gy=5H

Qx+Ry=S

D. Fx+5Gy=5H

Qx+Ry=S

Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

From the both scenarios, when the objects are brought close together, the balloon will attract the soda can, while the two balloons will repel each other. That is option A.

What is Electrical charge?

Electrical charge is defined as the force experienced by a particle when placed in an electric or magnetic field.

An electrical charge can either be positive or a negative charge.

When a positive charged particle and a negative charged particle are placed in a field, they both attract each other.

But when two objects bearing the same charges are placed in a field, they repel each other.

Therefore, in scenario 1, the balloon and soda can bears different charges that's why they attract each other; while in scenario 2 the two balloons bear the same charges so they repel from each other.

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The percentage decrease of the given population of immigrants at the different times of the year is; 61.5%

What is the percentage decrease?

When an initial value is greater than a more recent value, it means that there will exist a percentage decrease from that initial value to the more recent value. Therefore, the formula for percent decrease is simply equal to the change in the value divided by the original value.

We are given;

Number of immigrants who applied for citizenship for the first six months this year, = 46,200

Number of immigrants who applied for citizenship for the first six months last year = 120,000

Thus, the percentage decrease is;

Percentage decrease = [(120000 - 46200)/120000] * 100%

Percentage decrease = 61.5%

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The probability ratio for John picking a red ball from the bag is 3/14

How to determine the probability ratio for john picking a red ball from the bag?

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. An event with a probability of 1 is certain to occur, while an event with a probability of 0 is impossible to occur.

The probability ratio for John picking a red ball from the bag is 3:11, which means that there are 3 outcomes in favor of John picking a red ball and 11 outcomes against John picking a red ball. Thus:

Odd ratio = 3:11

Number of red balls = 3

Total number of balls = 3 + 11 = 14

Probability of picking red ball = 3/14

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There are 15890700 different selections to win at lotto at a certain state.

To find the number of different selections that are possible, you can use the combination formula. The combination formula is:

C(n , r) = n! / (r! × (n - r)!)

where C(n , r) represents the number of combinations, n represents the total number of items, and r represents the number of items being chosen at a time.

In this case, n is 50 and r is 6, so the number of different selections is:

C(50 , 6) = 50! / (6! × (50 - 6)!) = 50!/6!44! = 15890700

Therefore, there are 15890700 different selections that are possible.

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Answer:

-5n+16

Step-by-step explanation:

7(n+1)-12n+9

7n+7-12n+9

-5n+7+9

-5n+16

12. The time taken by Joseph alone to clean the room is 9.3 hours.

What is the time taken by Joseph alone to clean the room?

Let the time taken by both to clean the room = A = 4hours.

Let the time taken by Isaac alone to clean the room = B = 7 hours

Let the time taken by Joseph alone to clean the room = C

Applying the time and work formula,

[tex]C=\frac{AB}{B- A} \\\\=\frac{7 *4 }{7 - 4} \\\\=\frac{28}{3} \\\\= 9.3[/tex]

Thus ,the time taken by Joseph alone to clean the room is 9.3 hours.

What is the time and work concept?Time and work concept is concerned with the amount of time it takes a person or a group of people to complete a task and the effectiveness of the work performed by each of them. What one person can accomplish in a day is referred to as the efficiency of work that is expressed in the form of percentage. The relationship between time and work is inverse.Work is described as something that makes an impact or produces a result, frequently the one that is expected or wanted. The fundamental idea of Time and Work is the same across all areas in arithmetic.

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Answer:

x=-4 43/60

Step-by-step explanation:

3/5(x - 7/10) = -3 1/4

3/5(x - 7/10) = -(3 1/4)

3/5(x - 7/10) = -(3 + 1/4)

3/5(x - 7/10) = -(12/4 + 1/4)

3/5(x - 7/10) = -13/4

3x/5 - (3/5)*(7/10) = -13/4

3x/5 - (3*7)/(5*10) = -13/4

3x/5 - 21/50 = -13/4

30x/50 - 21/50 = -13/4

(30x-21)/50 = -13/4

50*(30x-21)/50 = 50*(-13/4)

30x-21=-650/4

30x-21+21=21-650/4

30x=21*4/4 - 650/4

30x=84/4 - 650/4

4*(30x=84/4 - 650/4)

120x=84-650

120x=-566

x=-566/120

x=(-566/2)/(120/2)

x=-283/60

x=-(43+240)/60

x=-43/60 - 240/60

x=-4 - 43/60

x=-(4 + 43)/60

x=-4 43/60

The number of workers in all, in the company, given the percentage that are men and the number who are not, is 3, 600 workers

How to find the number of workers ?

The percentage of workers who are men is 85 % which means that the percentage who aren't men is :

= 100 % - 85 %

= 15 %

The number of workers in the company is therefore :

= Number of workers who aren't men / Percentage who aren't men

= 540 / 15 %

= 3, 600 workers

Another way to find the number of workers is:

x = 85%x + 540

x - 0.85x = 540

0.15x = 540

x = 540 / 0.15

x = 3, 600 workers

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Applying the circumcenter theorem and the Pythagorean Theorem, the following measures are calculated as:

a. QR = 50

b. RZ = 41

c. XS = 40

d. ZS = 41

e. WZ = 32.5

What is circumcenter theorem?

Based on the circumcenter theorem of a triangle, the following holds true given that Z is the circumcenter of triangle QRS:

RZ, QZ, and ZS are equal (circumcenter Z is equidistant from the three vertices of ΔQRS).

The perpendicular bisectors divides the three sides, RS, QS, and QR into equal parts each.

Points X, Y, and W are at right angles.

Given:

RS = 80

WQ = 25

XZ = 9

a. Find QR:

QR = 2 × WQ = 2 × 25

QR = 50

b. Find RZ in right ΔXRZ:

XZ = 9 (given)

XR = 1/2(RS) = 1/2(80) = 40

Apply Pythagorean Theorem to find RZ

RZ = √(XZ² + XR²)

Substitute

RZ = √(9² + 40²)

RZ = 41

c. Find XS:

XS = 1/2(RS) = 1/2(80)

XS = 40

d. Find RZ:

RZ = ZS = QZ = 41 (equidistant)

ZS = 41

e. Find WZ in right ΔWRZ:

WR = WQ = 25

WR = 25

RZ = 41

Apply Pythagorean Theorem to find WZ

WZ = √(RZ² - WR²)

Substitute

WZ = √(41² - 25²)

WZ = 32.5

Complete question: Circumcenter and incenter if w is the circumcenter of qrs find each measure

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2xy is monomial.

2a is monomial.

As they contains only one terms.

What is monomial?

A mathematical expression that only contains one term.

Monomial for 2xy:

The exponents of all the variables are added to determine a monomial's degree. It is always an integer that is not zero.

For instance, the monomial 2xy has a degree of 2.

Variable 'x' has an exponent of 1, variable 'y' has an exponent of 1.

The result of adding all these exponents is 1 + 1 = 2. Let's use a different example to demonstrate how to determine a monomial's degree.

Hence, the Equation 2xy is Monomial.

Monomial for 2a:

The exponents of all the variables are added to determine a monomial's degree. It is always an integer that is not zero.

For instance, the monomial 2a has a degree of 1.

Variable 'a' has an exponent of 1.

The result of adding all these exponents is 1 . Let's use a different example to demonstrate how to determine a monomial's degree.

Hence, the Equation 2a is Monomial.

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Any line with an unknown slope is a vertical line with no y-intercept. As a result, the equation of a line with an unknown slope is x = a, where a = the x-intercept. Here a = 1.

Because the slope of a vertical line is indeterminate, neither the slope-intersect form nor the point-slope form can be used to construct the equation of a vertical line. However, the conventional form can be used.

Because the line with an unknown slope is a vertical line, all x -coordinates will be the same regardless of the y -coordinate. When a line is vertical, it has an indeterminate slope. A vertical line lacks the horizontal distance required to have a positive, negative, or neutral value.

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It mean the measure of the height, the apothem and the base of the triangle are change. It also mean, the circumference and the area of the triangle are change ,but the angle of the triangle did not change from the original triangle.

What is dilatation?

Dilatation is a process to change the size of the object whether it is to reduce or to enlarge it but did not change it shape. The follow methods use to in dilatation:

Starting from the center of dilatation, measure the horizontal and vertical distances ;Create a scale factor and calculate the horizontal and vertical distances;Starting from the center of dilatation, put the point to the number that you gain from the step 2

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The pairs that are included in the set of solutions for y = 1/2x + 3/2 are: (3, 3), (−5, −1), and (7, 5).

How to Find the Solution of an Equation?

If a point is located on a line of an equation, then the ordered pair of that point is defined as belonging to the set of solutions for the equation.

Given the equation, y = 1/2x + 3/2, the graph is plotted on a coordinate plane as shown below. It has a slope of 1/2, and a y-intercept of 3/2.

The graph shows that the following pair of the points are located on the line of y = 1/2x + 3/2:

(3, 3)(−5, −1)(7, 5)

Therefore, it is concluded that the pairs that are included as the solution to y = 1/2x + 3/2 are: (3, 3), (−5, −1), and (7, 5).

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