**Answer:**

The surface area is about 267.04 cm^2; the surface area would be divided by 4 if the slant height and diameter were to be cut in half

which angle corresponds with 3

∠8 is the **corresponds **with ∠3.

Hence, option B is the correct answer.

What is Corresponding pairs ?**Congruent angles** are those that correspond. Corresponding pairs are all angles that are positioned in relation to the parallel and transversal lines in the same way. When two** parallel lines **are intersected by another line, comparable angles are the angles that are created in matching corners or corresponding corners with the transversal (i.e. the transversal).

we know that

m∠3=m∠8 --------> by corresponding angles

m∠7=m∠8 -------> by vertical angles

so

m∠3=m∠7 -------> by alternate interior angles

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**NOTE: **The given question is incomplete on the portal. Here is the complete question.

**QUESTION: **Which angle corresponds to ∠3?

A) ∠6

B) ∠8

C) ∠1

D) ∠7

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping.

• of the caramel apples are covered with peanuts.

• are covered with chocolate chips.

• are covered with coconut.

• The rest are covered with sprinkles.

How many caramel apples are covered with sprinkles?

The number of **caramel apples** that are covered with **sprinkles** is; 20

We are given;

**Total number **of caramel apples to sell = 120

1/5 of the caramel apples are covered with **peanuts. **

1/3 of the caramel apples are covered with **chocolate chips. **

3/10 of the caramel apples are covered with **coconut. **

The rest are covered with **sprinkles. **

Let 'n' be the number of caramel apples are covered with sprinkles. Thus, we can develop the** equation** as;

120 = (1/5 * 120) + (1/3 * 120) + (3/10 * 120) + n

120 = 24 + 40 + 36 + n

n = 120 - 100

n = 20

Which means that 20 are those covered with sprinkles

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Complete question is;

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping.

1/5 of the caramel apples are covered with peanuts.

1/3 of the caramel apples are covered with chocolate chips.

3/10 of the caramel apples are covered with coconut.

The rest are covered with sprinkles.

How many caramel apples are covered with sprinkles?

pls help

A. G

B. H

C. The functions have the same y-intercept.

**Answer:**

A.) G

**Step-by-step explanation:**

I'd say A.) G because when you look at the graph the y-intercept is 4. When you look at the equation the y-intercept is 6. 6 is bigger than 4 so then the answer should be A.) G

coordinate plane notes pratice

help pleaseeee tyyyvm :)

The **graph **in which point are plotted is given below and Point D and F lie on Y axis and X axis respectively other lie on the different **quadrant **

**What does a math quadrant mean?**

The term "**quadrant**" refers to each of the four divisions of the **coordinate **plane. Furthermore, when we speak of the sections, we also mean the sections as the **coordinate **axes split them. This is where the x-axis is, and this is where the y-axis is on the up-down axis. On a **coordinate **plane, it divides the space into four parts, as you can see.

Point A (-5,4)

Lies in 2 **quadrant **of the **graph**

Point B (-3,-2)

Lies in 3 **quadrant **of the **graph**

Point C (4,6)

Lies in 1 **quadrant **of the **graph**

Point D (0,-4)

Lies on negative y axis of the **graph**

Point E (2,-1)

Lies in 4 **quadrant **of the **graph**

Point F (1,0)

Lies on positive x axis of the **graph**

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pls whats the anwer im stuck 4+5(x-1)=34

**Answer: 7**

**Step-by-step explanation:**

To solve this equation, we first need to use the order of operations to simplify the expression on the left-hand side of the equation. The order of operations tells us that we should perform the operations within parentheses first, followed by any exponents, then multiplication and division (from left to right), and finally addition and subtraction (from left to right).

In this case, we have a set of parentheses with the term 5(x-1) inside. This means we need to calculate the value of 5(x-1) first. We can do this by multiplying 5 and (x-1), which gives us 5x-5.

Next, we need to add 4 to 5x-5 to get the final expression on the left-hand side of the equation. This gives us 4+5x-5, which simplifies to 5x-1.

Now we have the equation 5x-1=34. To solve this equation for the value of x, we need to isolate the x term on one side of the equation by moving all the other terms to the other side. We can do this by adding 1 to both sides of the equation, which gives us 5x = 35.

Finally, we can divide both sides of the equation by 5 to find the value of x. This gives us x = 35/5 = 7. Therefore, the value of x that makes the equation true is 7.

**Answer:7**

**Step-by-step explanation:**

4+5(x-1)=34

Distribute: 4+5(x - 1) = 34

4+5x - 5=34

Subtract the numbers: 4 + 5x - 5=34

-1 + 5x =34

Rearrange terms: -1 + 5x =34

5x - 1 = 34

Solution: x=7

Hope this helps!!

1. The graph of a quadratic function is called a(an)

Copy and complete the table of values for the function.

2.

y=-1/3 x²

The graph of a **quadratic function **is called a parabola

The complete **table **is

x = -6, -3, 0, 3 6

y = -12 -3 0 -3 -12

How to complete the table of values?From the question, we have the following **equation **that can be used in our computation:

y=-1/3 x²

From the table of** values **, we have the following **x values**

x = -6, -3, 0, 3 and 6

Substitute x = -6, -3, 0, 3 and 6 in y=-1/3 x²

So, we have the following representation

y = -1/3 (-6)² = -12

y = -1/3 (-3)² = -3

y = -1/3 (0)² = 0

y = -1/3 (3)² = -3

y = -1/3 (6)² = -12

So, the complete **table of values **is

x = -6, -3, 0, 3 6

y = -12 -3 0 -3 -12

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I need help with the word problem

**Answer:**

**BAG 1 IS BETTER. IT IS BETTER TO PAY $18 FOR 12 POUNDS OF CAT FOOD. **

**Step-by-step explanation:**

To find the unit cost, we need to know *how much one pound of cat food cost for each bag *

Bag 1

It said you get 12 pounds for $18

Divide $18 by 12 to find how much ONE pound is.

**18 ÷ 12 = 1.5 **

**ONE **POUND COST ** $1.5 **

This is *the unit cost *

Let's do the same for the other bag of cat food!

Bag 2

Divide $24 by 15

**24 ÷ 15 = 1.6 **

**ONE **POUND COST ** $1.6 **

This is* the unit cost*

It is better to pay for $1.5 per pound because it is LESS than $1.6

You will save money this way.

**BAG 1 IS BETTER. IT IS BETTER TO PAY $18 FOR 12 POUNDS OF CAT FOOD. **

For the function f(x) x 9, find (f f 1)(5)

the **value **of [tex]f o f^{-1}[/tex](5) of the** function **f(x) = x + 9 is 5

An** inverse function** or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f^-1 or F^-1. One should not confuse (-1) with** exponent** or **reciprocal **here.

[tex]f^{-1}[/tex](x) =

if f(x) = x + 9

setting x + 9 = y and making x the** subject** we have

y = x + 9

x = y - 9

replacing x with [tex]f^{-1}[/tex](x) and y with x we have

[tex]f^{-1}[/tex](x) = x - 9

so the f o [tex]f^{-1}[/tex](x) can be gotten by substituting x in f(x) with x - 9 so that we have

f o [tex]f^{-1}[/tex](x) = (x - 9) + 9

f o [tex]f^{-1}[/tex](x) = x

so f o [tex]f^{-1}[/tex](5) will be x = 5

which becomes

f o [tex]f^{-1}[/tex](5) = 5

In conclusion f o [tex]f^{-1}[/tex](x) is 5

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X-3y=12 what does it look like on the graph

The **graph **of x-3y = 12 is given.

A **graph **is a visual representation or diagram that displays facts or values in an organized manner in mathematics. The points on a graph are typically used to depict the **relationships **between two or more things.

The **equation **is

x-3y = 12.

The graph of this line intersects the x-axis and y-axis.

And end **behavior **is infinity on both positive and negative.

And the graph is a **straight **line graph.

Therefore, behavior of x -3y = 12 is given in the **graph**.

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Weekly wages at a certain factory are

normally distributed with a mean of

$400 and a standard deviation of $50.

Find the probability that a worker

selected at random makes between

$500 and $550.

**Answer:**

The probability that a worker selected at random makes between $500 and $550 is approximately 0.24.

**Step-by-step explanation:**

To calculate this probability, we can use the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1. We can convert the weekly wage amounts to standard units by subtracting the mean and dividing by the standard deviation.

For wages between $500 and $550, the corresponding standard units are:

$500 - $400 = $100 / $50 = 2

$550 - $400 = $150 / $50 = 3

We can use a standard normal table or a calculator to find the probability that a value chosen at random from the standard normal distribution falls within the range of 2 to 3 standard units. This probability is approximately 0.24.

Since the weekly wages at the factory are normally distributed with a mean of $400 and a standard deviation of $50, this probability is also the probability that a worker selected at random makes between $500 and $550.

For Christmas you want to get your parents a framed family picture. At the framing store, there are 4 different styles each available in 5 different colors. You decide to use a blue mat board and there are 3 different shades of blue to choose from. How many different frames can you create?

The **number **of different frames you can create, if There are 4 different styles, each available in 5 different **colors**, there are 3 different **shades **of blue to choose from, is 12.

A **combination **is a choice of items from a group of **different **items, where the order of the choices is **irrelevant**.

**Given**:

There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from,

Calculate the total number of frames, we can create as shown below,

The number of frames = different styles available for blue color × shades of blue

The number of frames = 4 × 3

The number of frames = 12

Thus, the number of frames you can create is 12.

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Question 3 (2 points)

For the following, find the arc length:

(Use π=3.14 and round your final answer to the hundredths.)

The **length **of the **arc **is 10.47 units

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

**Radius **= 10

**Angle **= π/3

The **length **of the **arc** can be calculated using

Arc length = Radius * Angle

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

Arc length = 10 * π/3

Evaluate

Arc length = 10.47

Hence, the **arc length **is 10.47

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Caroline went to the grocery store and bought bottles of soda and bottles of juice.

Each bottle of soda has 30 grams of sugar and each bottle of juice has 15 grams of sugar. Caroline purchased a total of 6 bottles of juice and soda which collectively contain 150 grams of sugar. Graphically solve a system of equations in order to determine the number of bottles of soda purchased, ∞, and the number of bottles of juice purchased, y.

The **solution** of the **system of equations** is the point of intersection (4, 2), as shown in the **graph** below.

Caroline bought 4 soda bottles.

Caroline bought 2 juice bottles.

How to Solve a System of Equations?In order to determine the solution to this problem, use the information given to create two **equations**.

Number of soda bottle = x.

Number of juice bottle = y.

First **Equation **for the total number of bottle that Kelvin bought

x + y = 6 --> eqn. 1

Second **Equation **2 for the total sugar in the soda bottles and total sugar in juice bottles that equals 150 grams of sugar.

30x + 15y = 150

Simplify by dividing by 5

6x + 3y = 30 --> eqn. 2

Rewrite eqn. 1:

y = 6 - x

Solve simultaneously for the variables of x and y, by substituting the value of y into **equation **2:

6x + 3(6 - x) = 30

6x + 18 - 3x = 30

3x + 18 = 30

3x = 30 - 18

3x = 12

3x/3 = 12/3

x = 4

Caroline bought 4 soda bottles.

Substitute x = 4 into **equation** 1 to find the value of y:

x + y = 6

4 + y = 6

y = 6 - 4

y = 2

Caroline bought 2 juice bottles.

The **graph** below shows the point of intersection, (4, 2), which is the solution.

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If the slope of the regression line is calculated to be 2.5 and the intercept 16 then the value of Y when X is 4 is:

Select one or more:

a.2.5

b.66.5

c.26

d.16

In order to calculate **linear regression**, we apply the formula Y = B + X. The current access level for 16 plus is 2.5. As a result, Option A is the right response. We get 26 from 16 + 10.

The **slope and intercept** of a line show how steep it is, and the intercept shows where the line crosses an axis. It is possible to calculate an average rate of change using the slope and intercept, which describe the linear relationship between two variables.

An equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable, represents a linear regression line. A line's intercept (the value of y when x = 0) is equal to the slope of the line, which is b.

The regression slope intercept equation, [tex]y' = b_{0} + b_{1} x[/tex], where "[tex]b_{0}[/tex]" is the y-intercept and "[tex]b_{1} x[/tex]" is the slope, is actually just an **algebraic version** of the regression equation. Once the equation for linear regression has been discovered,

Therefore the correct answer is option a ) 2.5

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In an adjacency ____ representation, corresponding to each vertex v is a linked list such that each node of the linked list contains the vertex u, and there is an edge from v to u.

In an adjacency **list **representation, corresponding to each vertex v is a linked list such that each node of the **linked list** contains the vertex u, and there is an edge from v to u.

This is a common way to represent a **graph **in **computer **memory, where each **vertex **is represented by an object that stores its adjacent vertices in a list. This representation is useful when the graph is sparse, meaning it has relatively few **edges **compared to the number of vertices it has. It is not as efficient for dense graphs, where the number of edges is close to the **maximum **possible number of edges.

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The measures of the angles of a triangle are shown in the figure below. Solve for x.

to

76⁰

41

The **measures** of the **angles** of a **triangle** are 76⁰, 41⁰, and 63⁰.

**What is Angle Sum Property?**

The **sum** of all **angles** of a **triangle** is equal to the **angle** of a **straight** line i.e. **180°**. If we have a triangle ABC, then the **Sum** of **angles** A , B, and angle C will be 180 ° and the value of the **exterior** **angle** is equal to the sum of two **interior** **opposite** angle.

We have,

The measures of the angles of a triangle are:

x,

76⁰,

41⁰.

so, we have to calculate the value of the x⁰:

The sum of all the angles in the triangle is 180⁰

so,

to calculate the measure of x put the all values in equation such that using the above rule:

x + 76⁰ + 41⁰ = 180⁰

x = 180⁰ - 76⁰ - 41⁰

x = 63⁰

Hence, the **measures** of the **angles** of a **triangle** are 76⁰, 41⁰, and 63⁰.

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suppose 2n c 1 numbers are selected from f1; 2; 3; : : : ; 4ng. using the pigeonhole principle, show that there must be two selected numbers whose difference is 2. clearly indicate what are the pigeons, holes, and rules for assigning a pigeon to a hole.

Yes, there must be two selected numbers whose **difference** is 2. Any assignment of n+1 **pigeons** to n holes. Then there exists at least one hole with at least 2 pigeons in it.

A general rule, called the pigeon -hole principle, is that if there are more pigeons than holes, there should be **at least** one hole with at least two pigeons. If we put n + 1 objects into n boxes, we can say that at least one box contains 2 or more objects. Example: If there are Kn+ 1 (where k is a **positive integer**) pigeons distributed in n holes, then the holes contain at least k + 1 pigeons. Consider **2n** pair of pigeon holes (1,3), (2,4), (5,7),(6,8), .. ..,(4n-3,4n-1),(4n-2,4n). The 2 numbers in each **pair** have the difference 2.

If we choose 2n+1 numbers(pigeons), then they cannot all belong to different pairs.

Thus by pigeon hole principle, there must be two selected numbers whose difference is 2.

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Which points are included in the graph of the ceiling function f(x) = ⌈x⌉? Select all that apply.

A. (−0.5, −1)

B. (−1.5, −2)

C. (−3.5, −3)

D. (−3.5, −4)

E. (3.001, 4)

F. (−3.001, −3)

**Answer:**

C, E, F

**Step-by-step explanation:**

You want to know which points match the ceiling function among ...

A. (−0.5, −1)B. (−1.5, −2)C. (−3.5, −3)D. (−3.5, −4)E. (3.001, 4)F. (−3.001, −3)CeilingThe *ceiling* function is also known as the *least integer* function. It returns the smallest integer greater than or equal to its argument value. It is essentially a "round to next higher" function, with any integer input remaining unchanged.

The attachment shows the input and output of the ceiling function for the values on the answer choice list. **C, E, F are points on the function's graph**.

f the temperature is 50 degrees Fahrenheit, what is the temperature in Celsius?

**Answer:**

the answer is 10 degrees Celsius

50 Degrees Fahrenheit is 10 degrees Celsius.

Here is the formula

(50°F − 32) × 5/9 = 10°C

You are playing a new video game. The table shows the proportional relationship between the number of levels completed and the time it took you to complete them.

Number of Levels 3 5

Time (hours) ? 2.5

How many minutes does it take you to complete 3 levels?

105 minutes

90 minutes

60 minutes

50 minutes

PLS HELP

**Answer:**

the answer is 90 mins option b

**Step-by-step explanation:**

**Answer:**

the answer is 90 minutes or B

hope this helps

mark me brainliest

**Step-by-step explanation:**

use the function f and the given real number a to find (f -1)'(a). (hint: see example 5. if an answer does not exist, enter dne.) f(x)

The function y= f(x)= [tex]x^{3}+3x-1[/tex] and a= -5 the **real** number is [tex]\frac{1}{6}[/tex].

y= f(x)= [tex]x^{3}+3x-1[/tex] and a= -5.

The slope of **inverse** functions are **reciprocals** at their corresponding points that is,

[tex]f^{-1}'(a)=\frac{1}{f'(b)}[/tex]

Where, [tex]f^{-1}'(a) = b[/tex] and f(b) = a

Now, determine the value of b for a= -5 using f(x)=[tex]x^{3}+3x-1[/tex]

f(b) = a

[tex]b^{3}+3b-1=-5[/tex]

[tex]b^{3}+3b= -4[/tex]

[tex]b = -1[/tex]

Therefore, [tex]f^{-1}'(a) = \frac{1}{f'(b)}[/tex]

[tex]f^{-1}'(-5)=\frac{1}{f'(-1)}[/tex]

Now, find f'(x) and evaluate it at

x= -1

f(x)=[tex]x^{3}+3x-1[/tex]

[tex]f'(x)= 3x^{2}+3[/tex]

f'(x)= [tex]3(x^{2} +1)[/tex]

then, f'(-1)= 3(1+1) = 6

Therefore, [tex]f^{-1}(-5)=\frac{1}{f^{-1}(-1)}=\frac{1}{6}[/tex].

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Which of the following statements regarding the expansion of (x + y)^n are

correct?

A. The coefficients of x-1 and y- 1 both equal 1.

B. For any term xay in the expansion, a - b = n.

C. The coefficients of x and y both equal 1.

D. For any term xay in the expansion, a + b = n

The** true statements **are,

A. The coefficients of xⁿ and yⁿ both equal 1.

D. For any term x and y in the expansion, a + b = n

**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;

The **expression **is,

⇒ (x + y)ⁿ

Now,

We know that;

A binomial expansion is,

⇒ [tex](x + y)^n = x^n + nx^n^-^1 y + ^{n} C_{2} x^n^-^2y^2 + ..... + nxy^n^-^1 + y^n[/tex]

Clearly, **For Option A: **

The coefficients of xⁿ and yⁿ both equal 1.

If we see first and last term of the expansion, This statement is true.

For **Option D:**

For any term xᵃyᵇ in the expansion, a + b = n.

Let we take 3rd term of expansion

Here, a = n-2 and b=2

So, a + b = n-2+2 = n

Thus, a + b = n is true statement.

**For Option B: **

For any term xᵃyᵇ in the expansion, a - b = n.

Let we take 3rd term of expansion

Here, a=n-2 and b=2

If we do a-b = n-2-2=n-4≠n

Thus, a-b=n is false statement.

Thus, The** true statements **are given below,

A. The coefficients of xⁿ and yⁿ both equal 1.

D. For any term x and y in the expansion, a + b = n

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Two athletes start from the same point and move on a closed track of 600m. If they run in the same

direction at speeds 20m/s and 30m/s, when will they cross each other?

Mark one or more correct options

(A) 45 sec

(B) 1 min

(C) 1 min 30 sec

(D) 3 min

(E) 5 min

The solution is Option B , Option D , Option E

The athletes with **speeds **20m/s and 30m/s will meet at every minute

**What is Speed?**

**Speed **is defined as the rate of change of position of an object in any direction. **Speed **is measured as the ratio of distance to the time in which the distance was covered. **Speed **is a scalar quantity as it has only direction and no magnitude

**Speed **= **Distance **/ **Time**

Given data ,

Let the equation be represented as A

Now , the value of A is

The **distance **of the track is D = 600 m

Let the first athlete be A

Let the second athlete be B

The **speed **of A = 20 m/s

The **speed **of B = 30 m/s

The **time **taken by A to complete 600 m = 600 / 20 = 30 seconds

The **time **taken by B to complete 600 m = 600 / 30 = 20 seconds

Now , the **time **at which A and B will cross each other is the LCM of their respective time

So , The LCM of 20 and 30 is = 60 seconds

Therefore , the athletes will meet together at every 60 seconds or every 1 minute

Hence , the athletes will meet at every minute

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Business Organization

1. James invests $10,000 in a partnership with 3 other people. One of those people also invested

$10,000 and the other two invested $90,000 each. What percent of the business does James

own?

(please help me if I don't get help I won't graduate)

James **owns** just 5% of the company after the **investment.**

**Percentage** can be calculated by dividing the **value** by the total value, and then multiplying the result by 100.

Percentage is a number or** ratio** expressed as a fraction of 100. It is often denoted using the percent sign, "%".

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. It is given by:

Percentage = (value / total value) * 100%

How to find the Percentage owned by James;

James' investment: $10,000

The other 3 people invested;

x = $10,000

y = $10,000

z = $10,000

Total investment made was = $200,000

James' Percentage = [tex]\frac{10000}{200000\\}[/tex] x 100

James' Percentage = 5%

So, we can say that James owns 5% of the total investment in the business.

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The fare charged for a rideshare service is a function of

the distance traveled. However, the fare differs

according to the time of day, availability, and other

variables. The distance and fares for 10 rides are

shown in the table. The equation of the least-squares

regression line is ý = 5.20 +2.33x, where y is the

predicted fare and x is the distance.

Distance

(Miles)

1

3

5

8

10

12

15

16

56

Mark this and return

Fare

(Dollars)

1.91

13.68

16.52

24.15

24.79

39.87

40.24

53.84

What is the residual for the rideshare cost with a

distance of 16 miles?

2.33

5.21

11.35

42.49

**Answer: 11.35**

**Step-by-step explanation: The residual for the rideshare cost with a distance of 16 miles can be calculated using the equation of the least-squares regression line and the observed fare for that distance. The residual is defined as the difference between the observed value and the predicted value.**

**To find the predicted fare for a distance of 16 miles, we can substitute 16 for x in the equation of the least-squares regression line: ý = 5.20 + 2.33x. This gives us ý = 5.20 + 2.33 * 16 = 42.49.**

**The observed fare for a distance of 16 miles is 53.84, so the residual is 53.84 - 42.49 = 11.35. Therefore, the answer is 11.35.**

find the maximum area of the rectangle inscribed in the triangle formed by the x x-axis, the y y-axis and the line y

A shape's highest possible **area **is called its maximum area.The size of the rectangle that will result in the greatest area is 4 by 2 units.

The equation is given as:

x + 2y - 8 = 0

Rewrite as:

2y = 8 - x

Divide both sides by 2,

y = [tex]\frac{8 - x}{2}[/tex]

y = 4 - [tex]\frac{x}{2}[/tex]

The area (A) of the rectangle is:

A = xy

Substitute

y = 4 - [tex]\frac{x}{2}[/tex]

A = x[tex](4 - \frac{x}{2})[/tex]

Expand

A = 4x - [tex]\frac{x^{2} }{2}[/tex]

Differentiate

A' = 4 - x

Set the derivative to 0,

4 - x = 0

Collect like terms

x = 4

Recall that:

y = 4 - [tex]\frac{x}{2}[/tex]

Substitute 4 for x,

y = 4 - [tex]\frac{4}{2}[/tex]

y = 4 - 2

y = 2

So, we have:

x = 4 and y = 2

Hence, the dimension of the rectangle that will produce the maximum area is 4 units by 2 units.

The complete question is:

A rectangle is inscribed in the region bounded by the x-axis, the y-axis, and the graph of x+2y-8=0. Approximate the dimensions of the rectangle that will produce the maximum area.

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2^3 + (-16) / 4^2 x 5 - (-3)

-8/83 (see attatched image for work)

Cómo se determina el condominio de la función cuadrática.

The **domain** is the set of all values in the set **(- ∞, ∞).**

**Function :** In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the **domain **of the function and the set Y is called the **codomain** of the function

**Expression :** A mathematical expression is made up of terms **(constants **and** variables) **separated by mathematical operators

**Equation :** A mathematical equation is used to **equate** two expressions.

Given is a **quadratic function** as follows -

**ax² + bx + c**

For any quadratic equation (with vertex at origin), the value of [y] or the range is either the set of all** positive values** from 0 to infinity when the quadratic function** open upwards** and the set of all **negative values** from 0 to -infinity when the quadratic function open **downwards. **The domain is the set of all values in the set **(- ∞, ∞).**

Therefore, the **domain** is the set of all values in the set **(- ∞, ∞).**

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{Question in english language is as follows -

How the domain of the quadratic function is determined.}

Which expression is equivalent to (8×10−2) (2.4×10−3)?

The **expression** that is **equivalent** to the given expression, (8×10−2) (2.4×10−3), is 1.92 × 10⁻⁴

From the question, we are to determine the **expression **that is **equivalent **to the given expression

From the given information,

The given **expression **is

(8×10−2) (2.4×10−3)

First, we will write this expression properly

The given expression written properly is

(8 × 10⁻²)(2.4 × 10⁻³)

Now, we will evaluate the expression

Evaluating the expression

(8 × 10⁻²)(2.4 × 10⁻³)

8 × 2.4 × 10⁻² × 10⁻³

19.2 × 10⁻⁵

= 1.92 × 10⁻⁴

Hence, the **expression **is 1.92 × 10⁻⁴

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On May 26, your balance is $897.96. On May 27, you write check #117 to your landlord, Mrs. Wall, for $366.00. On May 28, you use receive a rebate check for $62.52. On May 29, you write a check for $137.32 to Bank of America for your car payment. On May 30, you receive your monthly check from your employee of $658.50 On May 31, you write a check for $685 to your parents for supporting you the previous month. What is the ending balance for the month of May?

**Bank reconciliation** is an accounting process to bring the balance as per the bank statement to agree with the balance as per the checkbook.

The **journal entry **to adjust the checkbook balance is as follows:

May 1 Debit Bank Charges $20

Credit Checkbook $20

The preparation of the Bank Reconciliation Statement is as follows:

Balance as per bank statement $16,833.19

Add Uncleared Deposits $1,650.00

Less Outstanding Checks $2,040.84

Balance as per adjusted checkbook $16,442.35

Checkbook balance on May 31 = $16,462.35

Bank Statement balance on May 31 = $16,833.19

Uncleared Deposits:

May 29 $575

May 30 $1,075 $1,650

Outstanding Checks:

Check 189 - $127.50

Check 191 - $462.19

Check 192 - $569.42

Check 194 - $881.73 $2,040.84

Bank charges = $20.00

**Checkbook Adjustment:**

Balance as per checkbook $16,462.35

Less Bank charges 20.00

Adjusted checkbook balance $16,442.35

Transaction Analysis for Journal:

Bank Charges $20 Checkbook $20

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On January 2, Dixie, Inc., pays a salvage company $1,000 to haul away a machine costing $28,000 with accumulated depreciation of $28,000. Complete the necessary journal entry by selecting the account names from the drop-down menus and entering the dollar amounts in the debit or credit columns.No Date General Journal Debit Credit 1 Jan. 2 Gain on disposal of machinery 1,000 Accumulated depreciation 28,000
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