evaluate using order of operations: A = L=50 W= 15 give your answer in simplest form

The probability of both events occurring is P(A ∩ B) = P(A)P(B) = 0.16^2 = 0.0256.

The event of getting a "2" and the event of getting a "5" on the first roll of a die are mutually exclusive events because they cannot both occur in the same trial. The probability of either of these events occurring is P(A) = 0.16, and the probability of both events occurring at the same time is P(A ∩ B) = 0.00.

The event of getting a "2" on the first roll and the event of getting a "5" on the second roll of a die are independent events. This can be confirmed using the formula P(A ∩ B) = P(A)P(B). The probability of getting a "2" on the first roll is P(A) = 0.16 and the probability of getting a "5" on the second roll is P(B) = 0.16. Thus, the probability of both events occurring is P(A ∩ B) = P(A)P(B) = 0.16^2 = 0.0256.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ4

The integral rate law for a first-order reaction has the following exponential form: [A] = [tex][A]_{0}e^{-kt}[/tex]

If there are constants c, M > 0, and T > 0 such that |f(t)| ≤ Mect for all t>T, then a function f is said to be of exponential order c.

It is helpful to keep in mind the exponential's definition and characteristics since they serve as the foundation for the solution of first-order linear differential equations.

The Concentration of the Reactant Decreases Exponentially with Time in First-Order Reactions. A plot of the natural logarithm of the concentration is a linear function of time according to this form.

To learn more about linear differential equations link is here

brainly.com/question/12423682

#SPJ4

Step-by-step explanation:

he needs two pairs of jeans and 4 shirt for him to spend 4 days at the camp

Answer: so the column on the left are expressions, you simplify them by combining like terms, in this case, the variable x. And the row across the top are the simplified expressions. Once you finished simplifying it, you check mark the simplified expression it matches under the column.

Step-by-step explanation:

For example, the first one you’d do this;

The simplified version of 1/3x + 1/4 -2/3x is -1/3x + 1/4

If the two fractions are 1/4 and 1/6, then the two equivalent fractions are 2/8 and 2/12, respectively.

The numerator, which is found at the top of the fraction number, and the denominator, which is found at the bottom of the fraction number, are its two constituent parts.

The percentage is= 1/4

In both the denominator and the numerator, multiply it by two= 2/8

A fractional equivalent of 2/8 is 1/4.

Similarly,

For 1/6= 2/12

The fraction 2/12 is equivalent to 1/6.

Therefore, if the two fractions are 1/4 and 1/6, the two equivalent fractions are 2/8 and 2/12, respectively.

To know more about fractions visit:-

brainly.com/question/10708469

#SPJ1

such pair of equation that have only one pair of solutions which satisfy both equation is linear equation

The following is a basic formula to find the scale factor of a dilated figure is:  :  Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

Sizing Factor (Dilation) The image's size will depend on the scale factor, which is used to dilate a mathematical entity (compared to the original object). An expansion happens when the scaling factor's absolute value exceeds one.

Dilation is the process of increasing an object's size without altering its shape. Depending on the scale factor, the object's size may increase or shrink. A square of side 5 units can be widened to a square of side 15 units using dilation math, but the square's shape doesn't change.

In geometry, dilation math is used to enlarge and reduce two- or three-dimensional figures.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is the ratio of the original figure's and dilated figure's sizes.

You can use r or k to represent the scaling factor.

If the scale factor is more than 1 (k > 1), the image is expanded.

If the scale factor is less than 1 (0 k 1), the image is condensed.

If the scale factor is 1 (k = 1), the image doesn't change.

It should be noted that the scale factor's magnitude is taken into account and that it cannot be 0.

An object's size can change depending on the scale factor, either growing or shrinking. The following is a basic formula to determine a dilated figure's scale factor:

Another approach to express this formula that aids in determining the new shape's dimensions is as follows:

To know more about Scale factor of the dilation refer to:

https://brainly.com/question/15230144

#SPJ1

To classify a quadrilateral by its sides, we need to calculate the distance between each pair of its vertices.

The distance between Q and R is the square root of ((1-(-2))^2 + (5-(-1))^2) = square root of (3^2 + 6^2) = square root of (9+36) = square root of 45 = 6.7

The distance between R and T is the square root of ((-8-1)^2 + (-4-5)^2) = square root of (9+81) = square root of 90 = 9.5

The distance between Q and T is the square root of ((-8+2)^2 + (-4+1)^2) = square root of (10+5) = square root of 15 = 3.87

If the quadrilateral is a rectangle, two sides of it have to be equal, so in this case, AQRT is not a rectangle.

If the quadrilateral is a rhombus, all four sides have to be equal, so in this case, AQRT is not a rhombus.

If the quadrilateral is a square, all four sides have to be equal, so in this case, AQRT is not a square.

If the quadrilateral is a trapezoid, two adjacent sides are parallel, so in this case, AQRT is not a trapezoid.

If the quadrilateral is a parallelogram, two pairs of opposite sides are parallel, so in this case, AQRT is not a parallelogram.

If the quadrilateral is a kite, two pairs of sides have the same length, so in this case, AQRT is not a kite.

So the only possible classification is that AQRT is a general quadrilateral.

so we have:

QR = 6.7

RT = 9.5

QT = 3.87

The correct first step in solving the inequality –4(2x – 1) > 5 – 3x is option A: Distribute –4 to get –8x + 4 > 5 – 3x.

This is because we are trying to solve for x, so we need to get x on one side of the inequality and all the other terms on the other side. In order to do this, we need to apply distributive property of multiplication over addition, which means we need to multiply the -4 with the 2x-1. By doing this we get -8x + 4 > 5 - 3x. This can help us to move forward in solving the inequality. This is the correct first step as it gets us closer to isolating the variable x on one side of the inequality.

After this step, we can further simplify the inequality by adding or subtracting similar terms to get the final solution.

It is important to remember that when solving inequalities we need to be careful with the signs, specially when dividing or multiplying by a negative number, as it might change the direction of the inequality.

To know more about mathematical inequality click below:

https://brainly.com/question/19003099#

#SPJ4

A parabola is the form of a quadratic function's graph because the vertex of a parabola is the location where the axis of symmetry of the curve crosses.

f(x) = ax^2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the form of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.

Regarding a line known as the axis of symmetry, all parabolas are symmetric. The vertex of a parabola is the location where the axis of symmetry of the curve crosses.

To learn more about axis of symmetry link is here

brainly.com/question/22495480

#SPJ4

The terms "ge" and "metria," which both imply "measuring," are the origins of geometry. For more than 2000 years, the Greeks' method of approaching geometry has served as the foundation for geometry.

The father of geometry, Euclid was a brilliant mathematician. Learn more about Euclid and the history of some of the math ideas we use today to see how important they have become.

The study of various mathematical or actual-world forms, figures, and sizes is known as Geometry. We learn about various angles, transformations, and similarities between the forms in geometry. The point, line, and plane are the main building blocks of geometry.

The point, line, and plane are only a few of the many undefined terms in geometry. All other concepts in geometry may be defined from these three undefined terms.

To learn more about geometry refer to:

brainly.com/question/19241268

#SPJ4

Answer:

This theory states that the concentric circles are based on the amount that people will pay for the land.

Step-by-step explanation:

I swear this is the answer because I had the same question and I think this was my answer .

The concentric circle model illustrates nested relationships or boundaries.

We have,

The concentric circle model illustrates the concept of nested or concentric circles.

It represents a series of circles that share the same center point but have different radii.

These circles are placed one inside the other, with each circle contained within the previous one.

The concentric circle model is often used to visualize or explain various concepts, such as:

- Levels of influence or impact

- Zones or boundaries

- Relationships or proximity

- Targeting or segmentation

Thus,

The concentric circle model helps visually represent hierarchical or nested relationships, boundaries, proximity, or segmentation in various contexts.

Learn more about circle here:

https://brainly.com/question/11833983

#SPJ4

At target you will pay $32.00 for 20 packages of travel Kleenex. The correct answer is (option B)

We see here that we have 32 and 20 we are going to divide those numbers to get are answer:

→ 32/20

→ = ?

→ 32/20

→ = 1.6

→ 1 package will cost $1.60.

Therefore, at target you will pay $32.00 for 20 packages of travel Kleenex. The correct answer is (option B)

#SPJ2

9 feet above Brett is Max.

Surface in math is a two-dimensional object that can be defined by a set of points in three-dimensional space. It may have a single boundary or multiple boundaries, and can have curved, straight or irregular edges. Surfaces can be used to represent physical objects in mathematics, such as a sphere or a torus, and also to represent abstract objects such as a surface of revolution or a Riemann surface.

9 feet above Brett is Max. Since Brett is 34 feet below the surface and Max is 25 feet below the surface,

The difference is 9 feet.

To know more about surface click-
https://brainly.com/question/1297098
#SPJ1

Answer: Cylinder, Cone, and Sphere

Step-by-step explanation:

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.

For further information about exponents, click the link below:

brainly.com/question/15438343

#SPJ4

Answer:

Domain of inverse = Range of f = x>-4

Hence B

Answer:

-5

Step-by-step explanation:

2(-1) - 3

-2 - 3

-5

For the above set of similar triangles, the value of x is 23 units.

Similar triangles have the same proportionate side lengths and related angle measurements. Two triangles are comparable if their corresponding angles and sides have the same ratio (or proportion). Similar triangles will have the same form but may or may not have the same size. Similar triangles are triangles that have the same shape but differ in size. Similar items include all equilateral triangles and squares with any side length. In other words, if two triangles are identical, their corresponding angles and sides are congruent and in equal proportion.

Here,

Two triangles are comparable if their corresponding angles and sides have the same ratio (or proportion).

x-10/39=12/36

x-10=13

x=23

The value of x for given set of similar triangles is 23 units.

To know more about similar triangles,

https://brainly.com/question/14926756

#SPJ4

a) The percentage abundance Shows us the amount of the substance in the element

b) The relative atomic mass for the element X has been obtained as 122.5 amu

c) The Rutherford's model explained showed the movement of the electrons.

The isotopes of an elements are the atoms of the elements that have the same atomic number but do not have the same mass number. We know that the atoms of the isotopes of the element that we have are important as we try to determine the relative atomic mass of the element as we have the element X in this case.

Now we have that;

Relative atomic mass = Weighted average of all the isotopes

As such we have;

(121 * 0.432) + (123 * 0.531) + (129 * 0.0370)

52.27 + 65.31 + 4.773

=122.35 amu

The Rutherford model of the atom shed light on the manner in which the electrons move around the nucleus of the atom of the element that we have in the atom.

Learn more about atoms:brainly.com/question/13654549

#SPJ1

Answer:

The cost at Pauline's print store can be described with the following equation, where y represents the cost in dollars of x copies:

y = 0.05x, because 1.25/25 = 2.75/55 = 90/4.50 = 0.05

Carla's Copy Shop charges a higher unit right

and it is $0.04 higher per copy

Step-by-step explanation:

Hope this helps. Much appreciated if Brainlisest.

Therefore ,In light of this, the answer to the above equation issue is 

be 8.

An equation must always include two equal members and one or more unknown members (the unknown variables). When multiplied by itself, what number, for example, results in 16. To express this maths equation mathematically, use the equation or expression.

Here,

Replace -3 with the following in the above quadratic equation.

(-3)² - 5(-3) + c = 0

measuring c:

c = -24

a quadratic equation that looks like this

x² - 5x - 24 = 0

x's value can be determined using the quadratic formula as follows:

x = [-b ±√(b² - 4(a)(c))]

/2a

x = [-(-5) ± √((-5)² - 4(1)(-24))] /2(1)

x = 8, -3

Therefore ,In light of this, the answer to the above equation issue is 

be 8.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

The series of transformation that would map the quadrilateral in figure G to the quadrilateral in figure H are A reflection about the y-axis and A translation of three units left.

A geometric figure can undergo a geometric transformation by changing its position, size, orientation, or any combination of these.

The potential polygon in the question, which was produced in MS Excel using data from a related web question, is attached;

The polygon's vertices are;

Figure G's vertices' coordinates are (-2, 7), (-6, 3), (-1, 5), and (-1, 1)

Figure H's corresponding vertices' coordinates are (5, 7), (9, 3), (4, 5), and (9, 3). (4, 1)

Figures G and H have identical y-values, but their x-values have different values and signs.

Following a reflection about the y-axis, the coordinates of the point (x, y) are the point (-x, y)

The transformation that maps the image produced by the reflection and figure H are;

Transformation (5 - 3, 7 - 7) = (3, 0)

(9 - 6, 3 - 3) = (3, 0)

(4 - 1, 5 - 5) = (3, 0)

(4 - 1, 1 - 1) = (3, 0)

The transformation that maps the image of figure G to figure H is therefore T₍₃, ₀₎, which is a translation of 3 units to the right.

To know more about geometric transformation visit:-

https://brainly.com/question/29733767

#SPJ1

The Total Pay for the following Day is $136 in this algebra question.

A time card is a piece of cardboard with the hours worked by an employee for a given work week printed on it. The time an employee starts and stops working is often printed on the card when it is entered into a time clock. It is used by the payroll staff to calculate the hours for which an employee shall be paid.

On Monday Morning the work time is from 8:15 to 12:15 is equal to 4 hours.

On Monday Afternoon the work time is from 13:00 to 17:30 is equal to 4.5 hours.

So, total work time is = (4+4.5)hours = 8.5 hours

SInce the given wage is $16/hr

Therefore,    

Total Pay for he following day is = 8.5 x 16=$136.

To know more about algebra visit:-

brainly.com/question/24875240

#SPJ1

Answer: 85 ÷ 5 = 17

Step-by-step explanation: We can simply find whatever division problem that has a quotient of 17 by multiplying 17 by something. So, I chose to do 17 * 5. That equals 85. Now to turn this into a division problem, we just take the product and divide it by a number other than 17 (5 in our case) so, it would look like 85 ÷ 5. That is 17. The way to check is by taking the 17 and multiplying it by the number in the middle (5). We get 85, making this statement true. I hope this helped!

Answer:

560

Step-by-step explanation:

A bottle of Water is x=80

A Pack Of Peanuts is y=?

x+2y=200

y= 200-80 divided by 2 =60

4x+4y= 4x80 + 4x60 = 560

Answer:

They might include variety of nuts, raisins, and healthy sweets

Step-by-step explanation: