PLS HELP ME
The following table shows the distance from the bus stop as a function of time:

Time (in minutes) Distance (in meters)
(x) f(x)
0 45
3 40
6 35
9 30
12 25


Find and interpret the meaning of the x-intercept in this scenario. (4 points)
(45, 0); the distance away from the bus stop
(27, 0); the time it takes to reach the bus stop
(45, 0); the time it takes to reach the bus stop
(27, 0); the distance away from the bus stop

Answers

Answer 1

The x-intercept is (27,0). The time it takes to reach the bus stop

We first find the equation between time and distance as a linear function by finding the slope and y-intercept from the table values.

If we write the Time as x-values and Distance as y-values, we get the points,

(0,45), (3,40), (6,35), (9,30), (12,25)

We can find the slope from these points considering two points (0,45) and (3,40)

Slope = 45-40/0-3 = -5/3

The y-intercept of the function is the value of f(x) at x = 0.

Here, from the table, when x = 0, y = 45.

So y-intercept = 45

Then the equation of distance in terms of time is,

y = -(5/3)x+45

The x-intercept is the x-value when y = 0.

So when y = 0,

0 = -(5/3)x+45

⇒ (5/3)x=45

⇒ x = 45x 3/5

⇒ x = 27

Therefore, x-intercept = (27,0).

It is the time (in minutes) when distance = 0 meters.

So x-intercept is the time it takes to reach the bus stop.

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Answer 2

Answer:

B)  (27,0); the time it takes to reach the bus stop


Related Questions


A shirt that normally costs $30 is on sale for
$21.75. What percent of the regular price is
the sale price?

Answers

Answer:

72.5%

Step-by-step explanation:

Hello!

We can find the percentage by dividing the sale price by the original price, then multiplying that by 100.

Find the Percentage[tex]\frac{21.75}{30} * 100[/tex]0.725 * 10072.5

The percentage is 72.5%.

find the area of the circle. Use 3.14 for pie. Do not round your answer.

Answers

Answer: A = 452.16 ft²

Step-by-step explanation:

      This gives us the formula to solve for the area.

                     A = πr²

      The radius (r) is the same as the diameter divided by 2.

                     24 ft / 2 = 12 ft

      We will input these given values and solve.

A = πr²

A = (3.14)(12)²

A = 452.16 ft²

Answer:

452.16 ft²

Step-by-step explanation:

To find the radius, you divide the diameter (24) by 2, which equals 12. The area of a circle formula is πr². To find area, you do 12² * 3.14. That equals 144 * 3.14, which equals 452.16.

Question 4 options:
Premises:

If I'm a student, then I go to school. If I go to school, then I learn.

Conclusion:

If I'm a student, then I learn.

This is an example of the Law of

Answers

The law of mathematical logic that was used to derive the given conclusion is; Law of Syllogism

What is the Law of Syllogism?

The law of syllogism is defined as a type of logical argument using deductive reasoning.

Now, In mathematical logic, the Law of Syllogism states that if the following two statements are true:

(1) If a , then b .

(2) If b , then c .

Then we can derive a third true statement:

(3) If a , then c .

Now, applying that law to our question, we see that;

1) If I'm a student, then I go to school.

2) If I go to school, then I learn.

Then we can derive a third true statement:

3)  If I'm a student, then I learn.

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A bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 16 minutes, and then flies directly back to the hive at 8 feet per second. It is away from the hive
for a total of 18 minutes.
a What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?

Answers

In linear equation, 864 is distance the flowerbed from the hive .

What are a definition and an example of a linear equation?

A linear equation with one variable is one that includes just one variable. It has the formula Ax + B = 0, with A and B being any two actual values and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.

a) The equation is so called "time equation"

      D%2F12 + 16*60 + D%2F8 = 19*60 seconds

(b) To determine the distance D, solve the equation

D%2F12 + D%2F8 = 19*60 - 16*60 = 3*60,

multiply both sides by 24

2D + 3D = 3*60*24

5D = 4320

D = 4320/5 = 864

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What are three pairs of corresponding angles?

Answers

8 and 6
2 and 4
1 and 7

Garth is baking cookies for his class! Once he
removes the cookies from the oven, the
temperature of the cookies (in °F) can be
modeled as a function of time (in minutes):
f(x) = 278(0.58)* + 72.
After 5 minutes, the cookies will be
°F (round to one decimal place).

Answers

Answer:

7358.84

Step-by-step explanation:

Part 1
Tell whether the sequence is arithmetic. If it​ is, identify the common difference.
-1,4,9,14
PLEASE HURRY

Answers

Answer:

It is arithmetic, the common difference is 5

Step-by-step explanation:

What an arithmetic sequence has to have is a common difference meaning you are adding or subtracting the same number each time, in this case you are adding 5 every time so it is arithmetic

Use the numbers 5, 6, and 7 and the operations of addition, subtraction, multiplication, and/or division to create three different number expressions with three different values. One of the expressions should have a value of 37.

Answers

The use the numbers 5, 6, and 7 and the operations of addition, subtraction, multiplication, and/or division to create three different number expressions with three different values will be:

1. 5 × 6 + 7 = 37

2. 5 + 6 - 7 = 4

3. 5 + 6 + 7 = 18

What is addition?

Addition simply means the sum of the numbers that are given. It should be noted that addition is represented by the sign +.

In this case, we are told to use 5, 6 and 7 to create different values. These are represented above. The addition of 5, 6, and 7 gives 18.

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Reflect the given triangle over the y - axis [[3,6,3],[-3,3,3]]

Answers

By using a reflection over the y-axis, the coordinates of the image of the triangle are (- 3, - 3), (- 6, 3) and C'(x, y) = (- 3, 3).

How to determine the coordinates of the vertices of a triangle by rigid transformations

Rigid transformations are transformations applied on geometric loci such that the form of the construction is not altered. Reflections over the y-axis are examples of rigid transformations. In this problem we need to apply this kind of transformation on the three vertices of the triangle: A(x, y) = (3, - 3), B(x, y) = (6, 3), C(x, y) = (3, 3).

The reflection over the y-axis is described by the following formula:

P'(x, y) = P(x, y) + (- 2 · p, 0)

Where:

P(x, y) - Original pointP'(x, y) - Resulting pointp - x-Component of P(x, y).

If we know that A(x, y) = (3, - 3), B(x, y) = (6, 3) and C(x, y) = (3, 3), then the image of the vertices of the triangle:

A'(x, y) = (3, - 3) + (- 6, 0)

A'(x, y) = (- 3, - 3)

B'(x, y) = (6, 3) + (- 12, 0)

B'(x, y) = (- 6, 3)

C'(x, y) = (3, 3) + (- 6, 0)

C'(x, y) = (- 3, 3)

Now we present the picture of the two triangles.

The coordinates of the image of the triangle are A'(x, y) = (- 3, - 3), B'(x, y) = (- 6, 3) and C'(x, y) = (- 3, 3).

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Maria runs of a mile every 8 minutes. Althea runs 2 miles every of an hour. Who runs ata faster 2 3 1 3 speed – Maria or Althea? Explain your reasoning.

Answers

The fact that Maria runs of a mile every 8 minutes means that we runs faster.

How to calculate the speed?

The speed is measured as the distance with respect to the time. This will be illustrated thus:

Maria runs of a mile every 8 minutes. Althea runs 2 miles every of an hour. It should be noted that an hour is 60 minutes. That means the she runs 1 mile in (60 / 2) = 30 minutes.

In this case, Maria runs faster. This is because of her speed.

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0.8 divided by 0.6 then round to nearst hundredth

Answers

Answer: 1.33

Step-by-step explanation:

0.8 divided by 0.6= 1.33333333333

3 is in the hundredths place and 3 is in the thousandths place.

Since the digit in the thousandths place (3) is less than 5, the digit in the hundredths place (3) does not change.

The digits to the right of the hundredths place are dropped.

1.33333333 rounded to the nearest hundredth (two decimal places) = 1.33.

A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large boxes. Each small box has 10 granola bars and each large box has 12 granola bars. The camp bought a total of 9 boxes that have 100 granola bars altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.

Answers

The system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased is b + s = 9 and 10s + 12s = 100

What is an equation?

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the small box be represented as s.

Let the big box be represented as b.

Each small box has 10 granola bars and each large box has 12 granola bars. The The camp bought a total of 9 boxes that have 100 granola bars altogether.

The equation will be:

b + s = 9

10s + 12s = 100

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Answer:

​10x + 12y = 100

x + y = 9

Step-by-step explanation:

Define Variables:

Let x = the number of small boxes purchased

Let y = the number of large boxes purchased

Each small box has 10 granola bars, so small boxes have 10x granola bars.

Each large box has 12 granola bars, so large boxes have 12y granola bars. Therefore, the total number of granola bars 10x + 12y equals 100:

10x + 12y = 100

Since a total of 9 boxes were purchased, we know x + y must equal 9.

x + y = 9

If a fraction has a numerator of 2, then the fraction can be reduced. A counter example is ____ option below.

a) 10/15
b) 11/22
c) 1/10
d) 2/11

Answers

Answer:

The answer is d

Step-by-step explanation:

2/11 has a numerator of 2 but cant be reduced

Answer:

Step-by-step explanation:

I misunderstood the question. So, please disregard this answer. Thank you.

What is the absolute value of −1/4 ?

Plot your answer on the number line.

Answers

Answer:

1/4

Step-by-step explanation:

Hope this helps!

Wilbur landed his plane.
The plane's elevation relative to the ground
(in meters) as a function of time (in seconds)
is graphed.
How high was the plane after 1000 seconds?

Answers

At 1000 seconds the graph shows the height of 3500 meter.

what is graph?

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

Following the creation of a research question, data is continuously gathered through observation. The information is subsequently arranged, condensed, categorised, and visually portrayed.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Usually, data that varies over time is represented with a line graph.

Given:

The graph gives the relation between Elevation and Time.

As, if at 400 seconds the height is 6500 meters.

and, at 800 seconds the height is 4500 meters.

Thus, at 1000 seconds the graph shows the height of 3500 meter.

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Just 5 and 6! Please!!✨

Answers

The three statement true about the the distance of a dog from a post are-

f(0) = 1.5f(60) = 4f(t) < 5What is termed as the function notations?Function notation is a method of representing a function utilizing symbols and signs.The most common function notation is f(x), which is read as "f" of "x." In this case, the letter x enclosed in parentheses, as well as the entire symbol f(x), represent the domain set as well as range set, respectively.

For the given graph in the question,

Function f gives the distance of a dog from a post, in feet, as a function of time, t in seconds, since its owner left.

The time is denotes on the x axis and the distance covered by the dog on the y axis.

This can be described using the function as.

f(t) = d

Consider values from graph.

When, t = 0, d = 1.5 feet

Function notation ; f(0) = 1.5    ......statement 1

When t = 60, d = 4 feet

Function notation ; f(60) = 4   ......statement 2

Now, the maximum value is 5.

Thus, f(t) < 5    .....statement 3

Therefore, the three statement are formed.

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The correct question is -

Write three statement that are true about this situation. Use function notations.

Function f gives the distance of a dog from a post, in feet, as a function of time, t in seconds, since its owner left.

Use the = sign in at least one statement and < sign in another statement.

a researcher separated the people in a population into three political categories: democrat, republican, or independent. she then selected a random sample from each of these three groups. what kind of sample did she select?

Answers

The researcher makes use of stratified sampling method to select a random sample from each of the three groups mentioned.

It is given to us that -

A researcher separated the people in a population into three political categories:

Democrat

Republican

or, Independent.

It is also mentioned that she then selected a random sample from each of these three groups.

We have to determine the kind of sample she selected.

In this case, stratified sampling is used by the researcher to select a random sample.

Stratified sampling is a type of probability sampling method where the total population is segmented into homogenous groups to successfully complete the sampling technique.

Here we see that the researcher has separated the total population into homogenous groups of democrat, republican, or independent.

From these homogenous groups, she selected random samples.

Thus, the kind of sample selected by the researcher is stratified sampling.

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Find the equation of the tangent at f(x) at x=0

Answers

Given:

The function

[tex]f(x)=\frac{2x}{x^2+1}[/tex]

Required:

Find the equation of the tangent at f(x) at x=0.

Explanation:

The slope of f(x),

[tex]f^{\prime}(x)=\frac{2(-x^2+1)}{(x^2+1)^2}[/tex]

Now, the slope of function at x = 0 is f'(x) = 2.

The line with slope m = 2 and passing through (0, 0).

[tex]f(x)=2x[/tex]

Answer:

Equation of tangent of the function at x = 0, f(x) = 2x.

Math
Show your solution please the question is in the picture

Answers

Answer: A) x^2+y^2 B) x^3+y^3 C) a^2b^2c^2 D) c^2/d^2

Step-by-step explanation:

For A, you add all the powers. This is because the bases are the same. Any number or letter without a visible power on top most likely means that is has a power of 1. Because this is a multiplication question, you have to add the powers. (Example n*n = n^2 or n^3*n^7 = n^10)

This is same for B.

For C, you multiply abc by abc so it's a*a, b*b, c*c. This is because they are inside a bracket. Anything inside the bracket that has a power outside the bracket is multiplied by itself.

For D, you multiply c and d so it's c*c, d*d. This is the same as C.

need answer asap please

Answers

The graph of the defined piece-wise function is sketched at the end of the answer.

What is a piecewise-defined function?

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

In the context of this problem, the function has three definitions, as follows:

To the left of x = -3. (x <= -3).Between x = -3 and x = 4. (-3 < x < 4).To the right of x = 4. (x >= 4)

For the first definition, to the left of x = -3, the function assumes a constant value of 3, hence it is an horizontal line at y = 3.

For the second definition, between x = -3 and x = 4, the function is a increasing linear function, with intercept 1 and slope 2, due to the rule y = 2x + 1.

For the third definition, to the right of x = 4, the function assumes a constant value of -2, hence it is an horizontal line at y = -2.

With each of these definitions, the graph of the function is given at the end of the answer.

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is 13 over 12 a proper or an improper fraction?

Answers

Step 1

An improper fraction is a fraction in which the numerator(top number) is greater than or equal to the denominator ( the bottom number)

Step 2

Conclude based on step 1

Hence

[tex]in\text{ }\frac{13}{12}\text{ the numerator 13 is bigger than the denominator 12, th}erefore\text{ it is an improper fraction}[/tex]

Therefore the right answer is an improper fraction

Draw a polygon with vertices R(-4, 2), S(2, 2), T(2, -2), and U(-4, -2). What is the perimeter, in units, of polygon RSTU? Draw a polygon with vertices R(-4, 2), S(2, 2), T(2, -2), and U(-4, -2). What is the perimeter, in units, of polygon RSTU?

Answers

Answer:

The perimeter of rectangle RSTU is 20 units

Step-by-step explanation:

Given

Vertices R(-4, 2), S(2, 2), T(2, -2), and U(-4, -2).

To find

The perimeter of the RSTU

Solution

Plot the points, we see it is a rectangle.

Side lengths are:

RS = TU = 2 - (-4) = 6, the difference of x-coordinates,ST = RT = 2 - (-2) = 4, the difference of y-coordinates.

The perimeter is:

P = 2(l + w)P = 2(6 + 4) = 2(10) = 20 units

The perimeter of polygon RSTU is

How to find distance between straight line?

A straight line connects any two places with the smallest distance possible. The distance formula can be used to get this distance. It is possible to define the distance between two positions (x 1, y 1) and (x 2, y 2) as d=√(x2-x1)² + (y2 - y1)².

Distance between R and S is;

√(2+4)² + (2 - 2)²= 6 units

Distance between S and T is;

√(2-2)² + (-2 - 2)²= 4 units

Distance between T and U is;

√(-4+-2)² + (2 - 2)²= 6 units

Distance between T and U is;

√(-4+4)² + (2 + 2)²= 4 units

The total perimeter is of polygon is:

6+4+6+4 = 20 units

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please quickkkk :((((

Answers

According to given function the final value is [tex]$f=\frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}(x-i y)}{x^2+y^2} ; \quad x \neq-i y$[/tex]

[tex]$$f(x+i y)=\sum_{k=1}^{\infty} \frac{1}{k}(x+i y)$$[/tex]

[tex]$$f(x+i y)=\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}$$[/tex]

Divide both sides by [tex]$x+i y ; \quad x \neq-i y$[/tex]

[tex]\frac{f(x+i y)}{x+i y}=\frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}}{x+i y} ; \quad x \neq-i y$$[/tex]

Simplify

[tex]\frac{f(x+i y)}{x+i y}=\frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}}{x+i y}$$[/tex]

Simplify[tex]$\frac{f(x+i y)}{x+i y}: f$[/tex]

Simplify [tex]$\frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}}{x+i y}: \frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}(x-i y)}{x^2+y^2}$[/tex]

[tex]f=\frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}(x-i y)}{x^2+y^2} ; \quad x \neq-i y$$[/tex]

[tex]f=\frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}(x-i y)}{x^2+y^2} ; \quad x \neq-i y$$[/tex]

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x.

In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

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Find all of the numbers less than100 that have at least 2 and at least one 5 in their prime factorization

Answers

Answer: [tex]10, 20, 30, 40, 50, 60, 70, 80, 90[/tex]

Step-by-step explanation:

If the numbers have at least one 2 and at least one 5, then they are multiples of 10 (since [tex]10=2 \times 5[/tex]).

So, these numbers are [tex]10, 20, 30, 40, 50, 60, 70, 80, 90[/tex].

Find the values of a,b and c that would make the statements true.
1) (ax+2)(5x+b)=10x^2+bx+c

Answers

The values of a, b and c are a = 2, b = -10 and c = -20

How to determine the values of the variables?

The equation is given as

(ax + 2)(5x + b) = 10x^2 + bx + c

Open the brackets

So, we have

5ax^2 + 10x + abx + 2b = 10x^2 + bx + c

By comparing the above equation.

We have the following set of equations

5a = 10

10 + ab = b

2b = c

By solving the equations, we have

a = 2

Substitute a = 2 in 10 + ab = b

10 + 2b = b

So, we have

b = -10

Substitute b = -10 in 2b = c

2(-10) = c

Evaluate

c = -20

Hence, the values of the variables are a = 2, b = -10 and c = -20

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Use the intersect method to solve the equation. x^2 - 3x = x^2 -1

Answers

The coordinate that represent the solution of the equation -

x² - 3x = x² - 1 is (0.333, -0.8889).

What is equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given is the following equation -

x² - 3x = x² - 1

In order to solve it using intersect method, we will plot the graphs of both functions and find the point of intersection of graphs of both the equations.

Assume -

f(x) = x² - 3x

g(x) = x² - 1

Now, the point of intersection of both the graphs will be the solution to the equation given by -

f(x) = g(x)

It can be seen from the graph that, both the graphs intersect at the coordinate (0.333, -0.8889). This coordinate will be the solution set of the equation -

f(x) = g(x)

Therefore, the coordinate that represent the solution of the equation -

x² - 3x = x² - 1 is (0.333, -0.8889).

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How to search question up on this?

Answers

Answer:

find search bar

Step-by-step explanation:

see answer

El valor de x que se cumple con 6x-10=2 es

Answers

Answer:

the answer is 2

ANSWER ASAP For a ride on a rental scooter, Kevin paid an eight dollar fee to start the scooter +6 cents per minute of the ride. The total bill for Kevin’s ride was $14.36 for how many minutes did Kevin ride the scooter.

Answers

Answer:

106 seconds

Step-by-step explanation:

14.36-8=$6.36 $6.36=636 cents so 636/6=106 so 106 seconds

Choose two statements that are true for this expression

Answers

I think C and D but I’m not sure
Other Questions
the table below shows the percentage of votes each sport received in a recent survey of student's favorite sports. will send image the process of determining whether there are any protected class groups whose proportion in a given job category within a company is substantially different from their proportion in the relevant labor market is called: The specific heat of a certain type of cooking oil is 1.75 J/(g-C). How much heat energy is needed to raise the temperature of 2.74 kg of this oil from 23 C to 191 C? What makes terraced farming necessary?Insecure territory that could be attackedA society with many distinct social classesMountainous or uneven terrainSoil that lacks adequate nutrients on its own WILL MARK BRAINLIEST You decide to go to a basketball game. The tickets cost $37 each and you paid for you and your cousin to get in. How much did 2 basketball tickets cost? I cant figure out how to solve thisStep by step process needed! Thank you! Simplify Radicals an initially stationary box of sand is to be pulled across a floor by means of a cable in which the tension should not exceed 1100 n. the coefficient of static friction between the box and the floor is 0.35. (a) what should be the angle between the cable and the horizontal in order to pull the greatest possible amount of sand, and (b) what is the weight of the sand and box in that situation? The double-hung window sash height from the subfloor is _______.Group of answer choices4'-8"6'-8-1/2"7'-2-7/16"8'-1" hi. I was hoping you can solve this for me. I would be so grateful. Use the number line to find the coordinate of the midpoint of LP. A scientific model can be used to What is an example of cultural diffusion that was found in Faiyum? please helppppppFor the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.Greg bought a regular-sized box of his favorite cereal. A regular-sized box contains 12 servings.Part A: If Greg eats 1 1/2 servings for breakfast every day, how many breakfasts can Greg eat from 1 box? Show all work.Part B: The regular-sized box of cereal costs $4.29. How much does 1 breakfast from a regular-sized box of cereal cost Greg? Round to the nearest hundredth. Show all work.Part C: If Greg purchased the family-sized box of cereal that contains 18 servings, how many more breakfasts could Greg eat from 1 box? Show all work. gilberto wants to be efficient in his work. when his boss asks him for something, gilberto tells him it's already done. complete his answers by writing the correct forms of the verb estar and the past participle in the spaces provided. remember that when past participles are used with estar as adjectives, they must agree in number and gender with the noun they modify. Calculate the standard enthalpy change for the reaction at 25 C. Standard enthalpy of formation values can be found in this list of thermodynamic properties. 2CH3OH(g)+3O2(g)2CO2(g)+4H2O(g) PLEASE help ( What's the slope of a line that passes through points C (1,3) and B (4,7) beginning inventory was $5,000. during the month, the company purchased an additional $25,000 of inventory. at the end of the month, ending inventory was $10,000. cost of goods sold equals . - If we start an experiment with 191.3 g of a substance, how much should we end with?More than 191.3 g191.3 gLess than 191.3g PLEASE NOW Now, lets say the children sold 50 cups of lemonade on the first day and 90 cups on the second day. Which proportion can be used to calculate the percent increase in the number of lemonade cups sold?