the gfc of 4800xy^3 , 1600y

Step-by-step explanation: Without more information, it is impossible to determine the experimental probability that a coin will land on heads. The experimental probability of an event is determined by performing experiments and observing the results. For example, if we were to flip a coin 10 times and it landed on heads 6 times, we could say that the experimental probability of the coin landing on heads is 6/10, or 0.6. However, without knowing the results of any experiments, it is impossible to determine the experimental probability of the coin landing on heads.

Answer: We should ASSUME 1/2 or 50%

Step-by-step explanation: Since we don't know the exact number of times the person flipped the coin, we must infer you mean he/she flips the coin once. So, If a coin has 2 sides and the probability is 100% total, we can write an expression to help us solve:

P(Probability)= 100/2

P= 50% or 1/2

How I got 50% or 1/2 is I took the whole probability (100%) and divided it by 2. (2 sides on a coin)

I hope this helped (at least)

The standard form of the expression is [tex]0.000286 \times 10^a[/tex].

What is a standard form?

A standard form is a document that contains predetermined information in a specific format, such as a contract or agreement. Standard forms are often used to ensure uniformity and efficiency among different parties. Standard forms may include a variety of information, including contact details, payment information, and other important details related to a transaction. By utilizing a standard form, individuals and organizations are able to save time and effort when completing administrative tasks. Standard forms can also be used to ensure that all parties involved in a transaction are aware of the terms and conditions.

The given expression is

              [tex]=(1.2 \times 10^2) \times \frac{(2 \times 10^a)}{3} \times 10^{-5}\\\\=129 \times\frac{2}{3}\times\frac{10^a}{3}\times0.00001\\\\=0.000286 \times 10^a[/tex]

Hence, the standard form of the expression is [tex]0.000286 \times 10^a[/tex].

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Answer:

-------------------------------

Total hours worked is x + y.

Earning from the part time job is 24x, from the internship is 12y.

Inequality for the number of hours:

Inequality for the earning:

This can be simplified by dividing all terms by 12:

Answer:

[tex]\begin{cases} x+y < 15\\24x+12y \geq 240 \end{cases}[/tex]

[tex]\begin{cases} x+y < 15\\2x+y \geq 20 \end{cases}[/tex]

Step-by-step explanation:

Part-time job

Internship

The student needs to work less than 15 hours a week:

[tex]\implies x+y < 15[/tex]

The student needs to earn at least $240 a week:

[tex]\implies 24x+12y \geq 240[/tex]

Therefore, the system of inequalities is:

[tex]\begin{cases} x+y < 15\\24x+12y \geq 240 \end{cases}[/tex]

The second inequality can be simplified by dividing each term by 12:

[tex]\implies \dfrac{24x}{12}+\dfrac{12y}{12} \geq \dfrac{240}{12}[/tex]

[tex]\implies 2x+y \geq 20[/tex]

Therefore, a second system of inequalities is:

[tex]\begin{cases} x+y < 15\\2x+y \geq 20 \end{cases}[/tex]

To solve the system of equalities, graph both inequalities and shade the overlapping region.  

Any (x, y) point in the overlapping region is a solution to the system of inequalities.

The total number of books completed by 2:45 pm will be 42.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that when the librarian starts downloading new books at 11:00 am, there are 15 already loaded. When she checks at noon, there are 25 books completely loaded.

The number of books loaded in 1 hour is calculated as,

N = 25 - 15

N = 10 books

Now from 12 noon to 2:45 pm, the time in hours will be,

T = 165 minutes or 165 / 60 = 2.75 hours

The equation for the number of books loaded will be written as,

y = 15 + 10T

y = 15 + ( 10 x 2.75)

y = 15 + 27.5

y = 42.5 or 42

The completely loaded books are 42 in number.

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Proof of ray BC is the angle bisector of angle ABA' is given.

Angle bisectors are lines that cut across the angle under consideration. The term "bisect" means to divide into two equal portions. The considered angle is therefore divided in half by the bisected halves.

A graph will move exactly to the other side of an axis, such as the x-axis, as if it were a mirror when it is reflected along that axis.

Because it is symmetrical, each point is as far from the axis of reflection as its mirror counterpart.

Triangle A'B'C' is a mirror of triangle ABC over line BC, as shown by the provided issue.

Therefore, <A'B'C' = <ABC

by virtue of congruent triangles' characteristics. Means that if the sides' lengths are equal, the angles' measures are equal, and they may be overlaid.

Therefore, the ray BC is the angle, bisector of angle ABA'.

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The coordinates of C are (8/7, 10/7) if point A is (-4, -2) and point B is

(8, 6)

The section formula aids in finding a point's coordinates so that the line connecting two points can be divided in a ratio. This involves both internal and external activities. P (x, y) = (c, m, plus a, plus n, plus d, plus b, plus n). The Section formula is used to determine the ratio by which a line segment is divided by a point either internally or externally in coordinate geometry. It is used to identify a triangle's centroid, incenter, and excenter. Physics uses this technique to determine equilibrium points, the centers of mass of systems, and other things.

A(-4, -2), B(8, 6)

m:n=3:4

((3(8)+4(-4))/(3+4) , ((3(6)+4(-2))/(3+4))

=((24-16)/7, (18-8)/7)

=(8/7, 10/7)

Therefore, the coordinates of C are (8/7, 10/7)

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Answer: One gallon of gas in Toronto would cost approximately $3.43. To find this, first convert the price of gasoline in Buffalo to liters. Since there are 3.8 liters in one gallon, one gallon of gas in Buffalo costs $2.29 * 3.8 liters = $8.69. Next, divide the price per liter in Toronto by the number of liters in a gallon to find the price per gallon in Toronto. This is $0.91 / 3.8 liters/gallon = $0.24/liter. Finally, multiply the price per liter in Toronto by the number of liters in a gallon to find the price per gallon in Toronto. This is $0.24/liter * 3.8 liters/gallon = $0.91/gallon. Round this to the nearest cent to find that one gallon of gas in Toronto costs $0.91/gallon = $<<0.91/gallon=0.91>>0.91.

The value of a+b is 67.5+52.2=120.1 degree.

Which is the value of B?

The middle number, the one immediately following the x, is the b-value. A and C are also numerals, much as the letter B. These can all have any number. They all work together to show you how the quadratic function will be graphed. If you haven't used your y = mx + b equation in a while, dust it off and use the three values you were given for x, y, and m to solve for the b-value, which is the value of the y-intercept. The equation is then solved for the last variable: b, the y-value intercept's.

[tex]\begin{aligned}& 360-90=270 \\& 270-2=135 \\& 180-135=45 \\& \frac{45}{2}=22.5 \\& 90-22.5=67.5 \\& b=67.5^{\circ}\end{aligned}[/tex]

90 *67.8+a 110 =360

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Answer:18 1/8

Step-by-step explanation:

5x3=15

5x5/8=25/8=3 1/8

15+3 1/8=18 1/8

Answer: B

Step-by-step explanation:

Answer: The answer is D. 2 | 0.25

Step-by-step explanation:

I don't really have a good explanation, but I hope it helps!

The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

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In the given relation, 1 is not a domain.

The domain of a function is the set of all possible inputs for the function. or we can that in an ordered pair, all the values of x are called domain.

All the values that go into a function. The output values are called the range.

The domain of a function is the set of all possible inputs for the function.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x than that chosen x-value is said to belong to the domain of f.

Given that, a function,

{(5, 1), (4, -3), (3, -1)}

We know, a domain is the set of all "x" values.

Therefore, domain of the function are, 5, 4 and 3

But, if we see, 1 is one of the values of y.

Hence, 1 is not a domain.

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the triangle of the given figures are congruent and ∠1 = ∠2.

What is congruent by SAS?

The side-Angle-Side congruence rule is referred to as ASA. Two triangles are said to be congruent according to this rule if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle. See if the two triangles given, ABC and XYZ, are congruent according to the ASA rule by looking at the image provided below. According to the ASA congruence rule, two triangles are said to be congruent if two of their respective sides and angles are equal to those of two other triangles and their respective sides and angles, respectively.

In the triangle ΔABD and ΔAED

Here AD is a common side

AB = AE

BC = EC

So both triangles are congruent.

So we can have ∠1 = ∠2

Hence, the triangle of the given figures are congruent and ∠1 = ∠2.

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Answer: C

Step-by-step explanation:

It should be 5 x 3, considering that rows come before the columns.

Answer: x=8

Step-by-step explanation:

This would be your equation:

x+4=12

Solve.

x=12-4

x=8

Answer:

x=-1 3/8

Step-by-step explanation:

-2.25 + 0.4x = -2.8

-2.25 + 2.25 + 0.4x = -2.8 + 2.25  ==> add 2.25 on both sides to isolate x

0.4x = -0.55

(0.4x = -0.55)*20 ==> multiply the equation by 20 to remove decimals

8x = -11

x=-11/8

x=-(3+8)/8  ==> turn x into a mixed number

x=-3/8 - 8/8

x=-3/8 - 1 ==> simplify

x=-1 - 3/8

x=-(1 + 3/8)

x=-1 3/8

The residuals of the regression are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61

The regression equation is given as:

y = 0.138x + 1.166

Next, we calculate the predicted values (y) at the corresponding x values.

So, we have:

y = 0.138 * 18 + 1.166 = 3.65

y = 0.138 * 21.9 + 1.166 = 4.19

y = 0.138 * 18 + 1.166 = 3.65

y = 0.138 * 20 + 1.166 = 3.93

y = 0.138 * 18 + 1.166 = 3.65

y = 0.138 * 0.7 + 1.166 = 1.26

y = 0.138 * 21.9 + 1.166 = 4.19

y = 0.138 * 0.7 + 1.166 = 1.26

y = 0.138 * 16.7 + 1.166 = 3.47

y = 0.138 * 15.5 + 1.166 = 3.31

The residuals are then calculated using:

Residual = Actual value - Predicted value

So, we have:

Residual = 3.7 - 3.65 = 0.05

Residual = 3.69 - 4.19 = -0.5

Residual = 3.8 - 3.65= 0.15

Residual = 4 - 3.93 = 0.07

Residual = 4 - 3.65= 0.35

Residual = 1.11 - 1.26 = -0.15

Residual = 3.69 - 4.19 = -0.5

Residual = 1.11 - 1.26 = -0.15

Residual = 3.5 - 3.47 = 0.03

Residual = 3.92 - 3.31 = 0.61

Hence, the residuals are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61

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Answer:

The residuals of the regression are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61

How to determine the residuals?

The regression equation is given as:

y = 0.138x + 1.166

Next, we calculate the predicted values (y) at the corresponding x values.

So, we have:

y = 0.138 * 18 + 1.166 = 3.65

y = 0.138 * 21.9 + 1.166 = 4.19

y = 0.138 * 18 + 1.166 = 3.65

y = 0.138 * 20 + 1.166 = 3.93

y = 0.138 * 18 + 1.166 = 3.65

y = 0.138 * 0.7 + 1.166 = 1.26

y = 0.138 * 21.9 + 1.166 = 4.19

y = 0.138 * 0.7 + 1.166 = 1.26

y = 0.138 * 16.7 + 1.166 = 3.47

y = 0.138 * 15.5 + 1.166 = 3.31

The residuals are then calculated using:

Residual = Actual value - Predicted value

So, we have:

Residual = 3.7 - 3.65 = 0.05

Residual = 3.69 - 4.19 = -0.5

Residual = 3.8 - 3.65= 0.15

Residual = 4 - 3.93 = 0.07

Residual = 4 - 3.65= 0.35

Residual = 1.11 - 1.26 = -0.15

Residual = 3.69 - 4.19 = -0.5

Residual = 1.11 - 1.26 = -0.15

Residual = 3.5 - 3.47 = 0.03

Residual = 3.92 - 3.31 = 0.61

Hence, the residuals are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61

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Step-by-step explanation:

Y = 2*cos(3pi*x) + 5 is the cosine function with a midline of 5, an amplitude of 2, and a frequency of 3/2.

A crucial periodic function in trigonometry is the cosine function.

Utilizing the unit circle will make understanding the cosine function the simplest.

Draw a unit circle on the coordinate plane, center the angle at the origin, and label one side as the positive x-axis for the supplied angle measure.

The point where the other side of the angle intersects the circle has an x-coordinate of cos(), and a y-coordinate of sin().

According to our answer-

B = 2pi/T, where T is the period and T = 1/f is the frequency; T is the period

Determines horizontal phase shift by using

C =determines vertical shift.

When solving the given issue, D = midline = 5

A = amplitude = 2.

B = 2pi/T = 2pi/(2/3) = 3pi since frequency = 3/2 means that the period is T = 2/3, which is the reciprocal of the frequency.

C = 0.

The result of adding everything up is A = 2, B = 3pi, C = 0, and D = 5.

so,

A*cos(B(x-C)) + D = y

y = 2*cos(3pi(x-0)), plus 5.

y = cos(3pi*x) * 2 * + 5

Hence, Y = 2*cos(3pi*x) + 5 is the cosine function with a midline of 5, an amplitude of 2, and a frequency of 3/2.

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The glide reflection that maps ABC to A'B'C' is given as follows:

The glide reflection is a combination of a reflection with a translation.

The line of reflection passes through the midpoint of a pair of vertices, being perpendicular to the vertex.

The midpoint of segment A'B' is given as follows:

The slope of this segment is given as follows:

m = (-6 - (-2))/(6 - 4) = -1.

Then the slope of the reflection line is of:

m = 1.

(as the reflection line is perpendicular to the segment, meaning that the multiplication of their slopes is of -1).

Then:

y = x + b.

When x = 5, y = -4, then the intercept b is calculated as follows:

-4 = 5 + b

b = -9.

Thus the reflection line is of:

y = x - 9.

Then the translation is given subtracting the coordinates of one of the vertices, as follows:

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Answer: ( -56 - 45t ) / 72t

Step-by-step explanation:

attached a picture for explaination.

hope that helps...

Answer: B

Step-by-step explanation:

vertical angles are =

6/7

Step-by-step explanation:

1 - x = 1/7

- x = 1/7 - 1

- x = 1/7 - 7/7

- x = -6/7

x = -(-6/7)

x = 6/7

thus,

1 - 6/7 = 1/7

True, is it possible for the results of a study to show a non-zero correlation, even though the correlation for the general population is zero.

When a correlation is statistically significant, it is a significant and strong correlation. Even a very slight association can be statistically significant with a very large sample size.

                   While the correlation for the entire population is zero, it is nevertheless feasible for a sample to have a true, non-zero correlation.

When there is no association in a correlational analysis, what happens?

The variables fluctuate in opposite directions when there is a negative correlation. There is no association between the variables if there is zero correlation.

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The equations of inequalities are y < 4 and y > x.

What is inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

The line of the graph is not solid. The lines of the graph is dotted. Thus the inequality sign will be less than or greater than.

One graph line is parallel to x-axis and it intersect y axis at (0,4).

The equation of the line that is parallel to x-axis and it intersect y axis at (0,a), then the equation of the line is y = a

The equation of the line parallel to x-axis is y = 4.

The equation of line that passes through origin is y = mx

The line passes through the point (1,1).

Putting x = 1 and y = 1 in y = mx:

1 = m

Therefore the equations of lines are y = x and y = 4

The inequality will be y < x or y > x for the line  y = x.

The inequality will be y < 4 or y > 4 for the line  y = 4.

(-2,0) is a point on the shaded area.

Putting x = -2 and  y = 0 in y > x

0 > -2 true.

The inequality is y > x

Putting x = -2 and  y = 0 in y < 4

0 < 4  true.

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The  percentage of each types of s. aureus

Total number of individuals = 1000

Number of individuals susceptible (fs) to methicillin = 900

The percentage = (Number of individuals susceptible (fs) to methicillin / Total number of individuals) × 100

= (900/1000) × 100

= 90%

90 are somewhat susceptible (ss) to methicillin

The percentage = (90 /1000) × 100

= 9%

10 are killed only by a full treatment with methicillin (ft)

The percentage = (10/1000) × 100

= 1%

Therefore, the percentage of each types of s. aureus are 90%, 9% and 1%

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The snow is needed to build the whole snowman is 19 cubic foot. Hence option A is the correct option.

What is a sphere?

The collection of points in three dimensions that are all the same distance from the center (the radius) or the outcome of rotating a circle around one of its diameters. A sphere's parts and characteristics are comparable to those of a circle.

Given that the diameter of the bottom ball is 3 feet, the diameter of middle ball is 2 feet, and the diameter of the top ball 1.

The radius of a sphere is the half of its diameter.

The radius of the bottom ball is 3/2 feet =1.5 feet

The radius of the middle ball is 2/2 feet = 1 feet.

The radius of the top ball is 1/2 feet = 0.5 feet.

The volume of a sphere is 4/3 × ∏r³.

The volume of  bottom ball is  4/3 × ∏ × (1.5)³  cubic foot.

The volume of  middle ball is  4/3 × ∏ × (1)³  cubic foot.

The volume of  middle ball is  4/3 × ∏ × (0.5)³  cubic foot.

The total amount of snow is

4/3 × ∏ × (1.5)³ + 4/3 × ∏ × (1)³ + 4/3 × ∏ × (0.5)³

=  4/3 × ∏ [1.5³  +1³  + 0.5³ ]

=  4/3 × ∏× 4.5

= 18.84

≈ 19 cubic foot

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