Write 8 3/4 as an improper fraction

The energy of the light is less than the work function of Lithium (2.11 eV < 2.90 eV), the light will not have enough energy to remove electrons from the material.

To find this we have the work function of Lithium is 2.90 eV, which is a measure of the minimum energy required to remove an electron from the surface of the material. The energy of light is proportional to its frequency (E = hf) or its wavelength (E = hc/λ), where h is Planck's constant, c is the speed of light, and λ is the wavelength of the light.

Given the wavelength of light as 1850 nm, we can calculate its energy as follows:

E = hc/λ = (6.63 x [tex]10^{-34}[/tex]Js) (3 x [tex]10^8[/tex] m/s) / (1850 x [tex]10^{-9[/tex]m)

= 3.38 x [tex]10^{-19[/tex] J

Since 1 eV = 1.6 x [tex]10^{-19[/tex] J, the energy of the light can be converted to eV as follows:

E (eV) = 3.38 x [tex]10^{-19[/tex] J / (1.6 x [tex]10^{-19[/tex] J/eV) = 2.11 eV

Since the energy of the light is less than the work function of Lithium (2.11 eV < 2.90 eV), the light will not have enough energy to remove electrons from the material.

To learn more about the wavelength, visit:

brainly.com/question/10564385

#SPJ4

El Sr. Jorge va a pagar 810$ por los productos. Con el aumento del IVA del 16%, la cuenta total será 942.56$.

El Sr. Jorge compró un pantalón por 430 dólares y una camisa por 380 dólares en la tienda, lo que significa que el costo total sin incluir el impuesto es de 810 dólares. Sin embargo, se aplicará un 16% de impuesto al valor agregado (IVA) al precio total, lo que significa que la cuenta final será de 942.56 dólares. Este es el costo total que el Sr. Jorge tendrá que pagar.

Conoce más sobre IVA en compra de ropa aquí:

https://brainly.com/question/3270411

#SPJ4

Answer:

{3,4,5,.........,49,50}

Step-by-step explanation:

All these numbers are greater than 2, but less than 51.

The area of square of a given figure with a side 4w is 16w ^2

What is Area of square ?

Area of square could be defined as the square of its side.

Given ,

From the figure,

There is square with a side 4w and given all sides are equal

so , we have to find the area of square ,

area of square could be = side*side

given side =4w

By substituting the given value,

we get,

= 4w* 4w

= 16 w ^2

So, area of square = 16w^2

Therefore, The area of square of a given figure with a side 4w is 16w ^2

To learn more about Area of Square from the given link.

https://brainly.com/question/14459721

#SPJ1

The dimensions of Christine's Bedroom are as the width of the room is 10 feet and the length is 12 feet.

Let x be the width of Christine's bedroom. Then the length is 2 more, or x + 2. The perimeter of the room is the sum of all four sides, so we can write an equation to represent this:

2(x) + 2(x + 2) = 44

Expanding and simplifying, we get:

4x + 4 = 44

Subtracting 4 from both sides:

4x = 40

Dividing both sides by 4:

x = 10

So the width of the room is 10 feet and the length is x + 2 = 10 + 2 = 12 feet. The dimensions of Christine's bedroom are 10 feet by 12 feet.

Learn more about Perimeter here:

https://brainly.com/question/397857

#SPJ4

By using the shell method to find the volume of the solid generated when R is revolved about the y-axis is V = 2π∫3⁹(11−x0)x0(11−x0−dx)dx

The volume of a solid that is generated by rotating a region about a given axis is called the volume of revolution. One of the methods to find the volume of revolution is the shell method.

Let's consider the region R bounded by the curves y = 11−x, y = 0, x = 3, x = 9 and find its volume when it is revolved about the y-axis.

The first step is to sketch the region R in the xy-plane. The curves y = 11−x and y = 0 intersect at x = 11, y = 0. The region R is a trapezoid with height 11 and bases 3 and 9.

Next, we need to find the expression for the volume of a thin shell of thickness dx, whose axis is along the y-axis.

Let us consider a thin shell at x = x0. The height of the shell at x = x0 is given by 11−x0. The inner and outer radii of the shell are given by y = 11−x0 and y = 11−x0−dx respectively.

The volume of the shell is given by the formula:

=> V = 2π(y2−y1)x0 = 2π(11−x0)x0(11−x0−dx)

We can now integrate this expression over x0 to find the total volume of the solid.

The limits of integration are x0 = 3 and x0 = 9. The volume of the solid is given by:

V = 2π∫3⁹(11−x0)x0(11−x0−dx)dx

Solving this definite integral will give us the volume of the solid.

To know more about volume here.

https://brainly.com/question/11168779

#SPJ4

Answer:

  A. -4x -1

  C. -2 +1 -4x

Step-by-step explanation:

You want expressions that are equivalent to -1/2(4 -2 +8x).

The distributive property tells you that multiplication distributes over addition:

  -1/2(4 -2 +8x) = -1/2(4) +(-1/2)(-2) +(-1/2)(8x)

  = -2 +1 -4x . . . . . . . matches choice C

Combining like terms, we have ...

  = -1 -4x

Writing the terms in order of decreasing powers of x give us ...

  = -4x -1 . . . . . . . . matches choice A

The inequalities that the represents the graph is;  y < 1 and y  ≥ x

The general form of the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, when the line is horizontal line is parallel to the x - axis, the equation is y equal to the number that the line crosses.

Now, Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Thus, the horizontal line has the inequality; y = 1 But since the shading is below, then we have; y < 1

Now, the solid line shows that the symbol used is ≤ or ≥.

In this case, the x-values and the corresponding y-values are the same and as such we have; y = x

However, since the shading is above, then we have;

y  ≥ x

Read more about System of Inequalities at; https://brainly.com/question/25275758

#SPJ1

Answer:

The interest rate for this investment is 15%. This can be calculated by dividing the annual interest of $54 by the initial investment of $360, which gives a result of 0.15 or 15%.

The interest rate is 15%.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Amount invested = $360

Interest amount = $54

Now,

The interest rate.

= 54/360 x 100

=  15%

Thus,

5% is the interest rate.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

Answer:20.01%

Step-by-step explanation:Divide the tip left by the cost of the meal and multiply by 100 to get 20.01%

Answer: 20%

Step-by-step explanation:

   We will find what percent 2.60 is of 12.99. First, we will divide. Then, we will multiply it by 100 to make a percent.

      (2.6 / 12.99) * 100 = 20.0153 ≈ 20.02%

   She left a 20.02% tip.

By assessing performance on memory and recognition tests, as well as the accuracy of answers to fill-in-the-blank and multiple choice questions, Roediger & Karpicke operationalized the dependent variable.

The dependent variable was operationalized by Roediger & Karpicke by evaluating how well subjects performed on memory and recognition tests. Participants responded to fill-in-the-blank and multiple choice questions to achieve this as well as the accuracy of answers to fill-in-the-blank and multiple choice questions, Roediger & Karpicke operationalized the dependent variable. The results of these tests were then utilized to gauge both the participants' recall recall and the accuracy of their responses. The replies were compared to the answer key and their correctness was scored in order to determine how accurate they were. This made it possible for the researchers to more precisely gauge how their independent factors affected the dependent variable.

Learn more about variable here

brainly.com/question/29583350

#SPJ4

Answer:

The son is 56, and the father is 112.

Step-by-step explanation:

Formula:

1/2x+84=2x

Answer:

father=40

son=20

Step-by-step explanation:

We can start by using the information given to set up a system of equations.

First, we know that the father's age is twice the son's age, so we can write the equation:

father's age = 2 * son's age

Next, we know that half the son's age plus 84 equals twice the father's age, so we can write the equation:

(1/2) * son's age + 84 = 2 * father's age

Now we can substitute the first equation into the second equation to get:

(1/2) * son's age + 84 = 2 * (2 * son's age)

Solving for x

(1/2) * x + 84 = 4x

x=20

father = 2*20 = 40

son = 20

The price p which the first coupon code give him a better deal is less than $99.93. The inequality he can use is the first coupon code will give Samir a better deal.

We can find the value of "p" by solving the inequality.

        (1 - 0.05) * p + 0 < (1 - 0.20) * p + 14.99

This inequality compares the total cost (price minus discount plus shipping) of using the first coupon code on the left-hand side and the total cost of using the second coupon code on the right-hand side. If the left-hand side is less than the right-hand side, then the first coupon code gives a better deal.

Solving for p, Samir can find the minimum price at which the first coupon code is a better deal.

        0.95 * p + 0 < 0.80 * p + 14.99

        0.95 * p < 0.80 * p + 14.99

       0.15 * p < 14.99

        p < 99.93

So, if the price "p" is less than 99.93, the first coupon code will give Samir a better deal.

Learn more about Inequality for Better Deal here:

https://brainly.com/question/9993216

#SPJ4

Answer:

We're required to find s(10).

therefore , the polynomial applicable will be

[tex]s(x) = - 5{x}^{2} + x - 8 \: \\ \: ( \: since \: x > - 1)[/tex]

[tex]\therefore \: s(10) = - 5( {10}^{2}) + 10 - 8 \\ \dashrightarrow \: s(10) = - 5(100) + 2 \\ \dashrightarrow \: s(10) = - 500 + 2 \\ \dashrightarrow \: \boxed{ \: s(10) = - 498}[/tex]

hope helpful! :)

The numeric values of the piecewise function are given as follows:

a) f(4) = -5.

b) f(-5) = -26.

c) f(2) = -7.

d) f(-2) = -11.

e) f(0) = -9.

f) f(-10) = -51.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

A piecewise function is a function that has different definitions based on the input of the function.

The definitions for the function in this problem are given as follows:

Considering the first definition, the numeric values are given as follows:

For the second definition, the numeric values are given as follows:

Learn more about the numeric values of a function at brainly.com/question/28367050

#SPJ1

The fixed cost to travel is $4 which is option (1).

What is meant by the cost of an item?

A cost is the worth of money that has been expended to produce something or provide a service and is therefore no longer available for use in production, research, retail, and accounting. In the case of an acquisition cost, the money spent on the acquisition is considered the cost.

Given chart,

Distance travelled (miles) (x)          Cost (dollars) (y)

0                                                             4

1                                                             9

2                                                            14

We are asked to find the fixed amount charged.

From the data given, we can say that

The amount charged when no distance is covered is $4.

The amount charged per mile = 9-4 = 14 -9 = $5

A fixed cost is the amount that is charged no matter the distance travelled.

In this case, it is $4, as it is the money needed to get on the bus.

Therefore the fixed cost to travel is $4 which is option (1).

To learn more about the cost, follow the link.

https://brainly.com/question/25109150

#SPJ1

No, f is not continuous at x=-3. To show this, let's take the limit from both sides.

From the left side, the limit of f(x) as x approaches -3 is 5. From the right side, the limit of f(x) as x approaches -3 is 3. Since the two limits are not equal (5≠3), then f is not continuous at x=-3.No, f is not continuous at x=-3. This is because the limit of f(x) as x approaches -3 does not equal f(-3). The limit of f(x) can be calculated using the formula lim x->-3 f(x) = lim x->-3 (x^2 + 9). Calculating this limit, we get lim x->-3 f(x) = lim x->-3 (x^2 + 9) = 9. However, f(-3) = (-3)^2 + 9 = 0, which does not match the limit.

Mathematically, this can be shown using the following:

limx→−3 f(x) = 5 ≠ 3 = limx→−3+ f(x)

Since the two limits are not equal, then f is not continuous at x=-3.

Learn more about continuous here:

https://brainly.com/question/24898810

#SPJ4

Answer: So the length of one side of the triangular-shaped walking path is 330 feet.

Step-by-step explanation:

The perimeter of the triangular-shaped walking path is 990 feet, and the length of one side is represented by x. We can write an equation to find x using the formula for the perimeter of a triangle:

P = a + b + c

Where P is the perimeter, and a, b, and c are the lengths of the sides of the triangle. Since one of the sides is represented by x, the equation can be written as:

990 = x + x + x

Simplifying the equation, we can find the value of x:

990 = 3x

Dividing both sides by 3, we get:

330 = x

So the length of one side of the triangular-shaped walking path is 330 feet.

The expected value of buying car insurance is $794.5.

Insurance is a contract between an individual or entity and an insurance company, in which the insurance company agrees to provide financial protection or reimbursement against losses in exchange for payment of premium. It is a form of risk management, mainly used to hedge against the risk of a contingent or uncertain loss.

The expected value of buying car insurance is the sum of the product of the value and the probability of each outcome. To calculate the expected value, we multiply the probability of having an accident by the average coverage paid ($2,500), and add it to the product of the probability of not having an accident multiplied by the insurance cost ($600).

So, expected value = (0.105 * $2,500) + (0.895 * $600) = $267.5 + $527 = $794.5

Therefore, the expected value of buying car insurance is $794.5.

To know more about outcome visit:

https://brainly.com/question/28740329

#SPJ1

The vertex form of the parabola y = 4 · x² - 4 · x + 3 is the equation y - 2 = 4 · (x - 1 / 2)².

In this problem we find the case of the equation of a parabola in standard form, whose vertex form has to be found. These forms are described below:

Standard form

y = a · x² + b · x + c

Vertex form

y - k = C · (x - h)²

Where:

This can be done by completing the square, an application by algebra properties. First, write the equation of a parabola in standard form:

y = 4 · x² - 4 · x + 3

Second, use algebra properties until vertex form is found:

y - 3 = 4 · (x² - x)

y - 3 + 4 · (1 / 4) = 4 · (x² - x + 1 / 4)

y - 2 = 4 · (x - 1 / 2)²

To learn more on parabolae: https://brainly.com/question/21685473

#SPJ1

Answer:

To evaluate the function when x = -1, 0, and 4, we need to substitute those values into the equation and solve for y.

1. When x = -1,

y = -2(-1) - 4

y = 2 - 4

y = -2

2. When x = 0,

y = -2(0) - 4

y = -4

3. When x = 4,

y = -2(4) - 4

y = -8 - 4

y = -12

So, the function has the values of -2, -4, and -12 when x = -1, 0, and 4 respectively.

The m∠DFE in triangle DEF is 72°.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, There is a triangle DEF in which segment EG intersects the side DF at point G.

Angle DEG and angle FEG are congruent and the length of the side DE and side EF is labeled as c.

Now, If m∠DEG = 18° ⇒ m∠FEG = 18° and side EF and DE are equal so their opposite angles will also be equal.

Let, The two opposite equal angles be 'x'.

Therefore,

x + x + (18 + 18) = 180°.

2x + 36 = 180°.

2x = 144°.

x = 72°.

So, The measure of angle DFE is 72°.

learn more about triangles here :

https://brainly.com/question/2773823

#SPJ1

Answer:

*1.5

Step-by-step explanation:

15/10＝1.5

80*1.5＝120

60*1.5＝90

30*1.5＝45

36*1.5＝54

On solving the provided question, we can say that the answers of the quadrilateral are as follows 1.True; 2.False and 3.True

A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

here,

the answers of the quadrilateral are as follows

1.True

2.False

3.True

4.True

5.False

6.False

7.True

8.True

9.True

10.False

To know more about quadrilateral visit:

https://brainly.com/question/29934291

#SPJ1

At this rate, the amount of sauce and cheese which Paula would use to make 5 pizzas is: B. Paula will use 35 oz of sauce and 20 oz of cheese to make 5 pizzas.

In Mathematics, a proportion can be defined as an equation which is typically used to represent the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

By applying direct proportion to the given information, we have the following number of sauce:

4 pizzas = 28 sauce

5 pizzas = X sauce

Cross-multiplying, we have:

X sauce = 5/4 × 28

X sauce = 35 sauces.

By applying direct proportion to the given information, we have the following number of sauce:

4 pizzas = 16 cheese

5 pizzas = X cheese

Cross-multiplying, we have:

X cheese = 5/4 × 16

X cheese = 20 cheese.

Read more on proportion here: https://brainly.com/question/30412839

#SPJ1

If Ralph jut received hi june flah card bill. He did not pay hi may bill in full, o hi june bill how a previous balance & a finance charge. Ralph’ finance charge is:  $0.588.

First, calculate the monthly periodic rate (MPR) from the annual percentage rate (APR):

MPR = APR / 12

MPR = 1.5% / 12 = 0.125%

Next, calculate the finance charge by multiplying the average daily balance by the MPR:

Finance charge = Average daily balance * MPR

Finance charge = $470 * 0.125% = $0.588

Therefore  Ralph's finance charge for June should be $0.588.

Learn more about finance charge here:https://brainly.com/question/3436429

#SPJ1

Answer:  0.9

Step-by-step explanation:

The probability is 1 - 0.1

                             = 0.9

Answer:

a) The first term of an AP can be found using the formula for the nth term of an AP, which is a + (n-1)d, where a is the first term, d is the common difference, and n is the position of the term.

Using this formula, we can substitute the known values: -15 = a + (5-1)d

-15 = a + 4d

To find the first term, we will have to solve for a by isolating it on one side of the equation:

a = -15 - 4d

b) To find the common difference, we can use the relation between the second and fifth term.

The fifth term of an AP is -15, and the second term is 0, so we can use the formula for the nth term of an AP to find the common difference:

-15 = a + (5-1)d

-15 = a + 4d

To find the common difference, we will have to solve for d by isolating it on one side of the equation:

d = (-15 - a) / 4

If "r" is an odd function, "s" is an even function , then the function "s(x) × s(x)" will be an (a) Even Function .

A function is considered as Even Function if it satisfies : f(x) = f(-x) for all x in its domain, and

A function is considered as Odd Function if it satisfies : f(x) = -f(-x) for all x in its domain.

The product of two even functions is even, because if f(x) and g(x) are both even, then

⇒ (f(x) × g(x)) = (f(-x)) × (g(-x)) = f(-x) × g(-x) = f(x)g(x),

So, f(x)g(x) is also even.

In this case, since the function "s" is an even function, So , "s(x) × s(x)" is also Even .

The given question is incomplete , the complete question is

Assume that "r" is an odd function, "s" is an even function, and both "r" and "s" are defined on the entire real line R. Are the following functions even or odd?

Is "s(x) × s(x)" even or odd ?

(a) even function

(b) odd function

(c) neither

Learn more about Functions here

https://brainly.com/question/16297926

#SPJ4

The total price the store charges to deliver $140 worth of groceries will be $4.20.

It should be noted that the certain grocery store charges a fee of 3% of the total bill to have groceries delivered. A percent is a relative figure that represents the hundredth part of any amount. One percent (symbolized 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount. percentage. Mathematics percentile is a related topic.

Therefore, the total price the store charges to deliver $140 worth of groceries will be:

= Percentage charged × Cost

= 3% × $140

= 0.03 × $140

= $4.20

The amount charged is $4.20.

The entire cost for the retailer to deliver $140 worth of goods is $4.20.

To know more about percent,

https://brainly.com/question/28533281

#SPJ1