Maria works at the snack stand at a basketball game.
Each frozen yogurt costs $3, and each sandwich costs $6.
Maria makes a list of the costs for buying 0, 1, 2, 3, 4,
5, or 6 frozen yogurts. She also makes a list of the
costs for the same number of sandwiches.
Show how Maria may have made her lists of costs.
• Write a sentence describing the rules used to
make each list.

Answers

Answer 1

The table is attached in the solution.

Given that Maria selling the yogurts and the sandwiches at $3 and $6 respectively,

We need to make a table if she sells 0, 1, 2, 3, 4, 5, or 6 frozen yogurts same for the sandwiches,

Yogurt =

Since one yogurt cost $3 therefore we will multiply the number of yogurts to the unit rate to find the cost of the number of packets given,

Similarly,

Sandwich =

one sandwich cost $6 therefore we will multiply the number of sandwiches to the unit rate to find the cost of the number of packets given,

The table is attached.

Learn more about unit rates click;

https://brainly.com/question/29781084

#SPJ1

Maria Works At The Snack Stand At A Basketball Game.Each Frozen Yogurt Costs $3, And Each Sandwich Costs

Related Questions

3 cars are washed every 27 minutes at a car wash
Express the unit rate as a shaded fraction of the circle below

Answers

Answer: The unit rate is the number of cars washed per minute. To find the unit rate, we need to divide the number of cars washed by the number of minutes.

3 cars / 27 minutes = 1/9 car/minute

To express the unit rate as a shaded fraction of a circle, we can divide the circle into 9 equal parts and shade 1 of those parts to represent the unit rate of 1/9 car/minute.

It is not possible to provide a shaded fraction of a circle here as it is a text based interface.

Step-by-step explanation:

What are altitudes of a triangle class 7?

Answers

Answer:

Step-by-step explanation:

The altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side.

The average height of a giraffe is about 2 x 10¹ feet. The average height of an ant is about 4 x 10-³ feet.
Based on this information, about how many times taller is a giraffe than an ant?

Answers

Answer:

1. Convert to decimal notationThe exponent is -3, making it 10 to the power of negative 3. When an exponent is negative, the solution is a number less than the origin or base number. To find our answer, we move the decimal to the left 3 times: 4.0

 2. Final result

0.004

Is dilated cervix normal?

Answers

It is normal for the cervix to dilate during labor. The cervix opens when there is dilatation. The cervix may begin to shrink or stretch (efface) and open as labor approaches (dilate).

As a result, the cervix is ready for the baby to enter the delivery canal (vagina). Each woman's cervix thins and opens at a different rate. The cervix may begin to slowly efface and dilate over a few weeks in certain women. On the other hand, a first-time mother frequently won't dilate until active labor begins.

Your doctor may use his or her fingers to feel the cervix toward the end of your pregnancy to see how much it has effaced and dilated. To do this, he or she will put on sterile gloves. Your cervix opens (dilates) as your uterus contracts during labor. They also assist in positioning the infant for birth.

To learn more about cervix dilation, visit the link below:

brainly.com/question/28147754

#SPJ4

Which statement about the function fis false?
A) -2 and 1 are zeros of the function.
B) The function has a local minimum at x = 1 and a local maximum at x = -1.
C) The function is increasing when x < -1 and x > 1, and decreasing when -1 < x < 1.​

Answers

The claim about the function that is false is At x = 1 and x = -1, respectively, the function has a local minimum and a local maximum.

what is function ?

The study of mathematics comprises the study of quantities and their variations, equations and associated structures, shapes and their positions, and locations where they can be found. A combination of inputs and corresponding outputs are referred to as a "function," which describes the relationship between them. The term "function" refers to an association between inputs and outputs where each input produces a single, unique result. There are two domains, or scopes, assigned to each function. Usually, the symbol f is used to signify functions (x). input is an x. There are four basic categories of functions that are available: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

Let y=x^x

⇒ dx/dy =x ^x (1+logx)

For increasing function,  dx/dy >0

⇒x ^x (1+logx)>0

⇒1+logx>0

⇒log e

x>log e/e

⇒x> 1/e

Therefore, the function is increasing, when x> 1/e

The claim about the function that is false is At x = 1 and x = -1, respectively, the function has a local minimum and a local maximum.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

Application 1: A mall city had 5000 people in 2005 and 6200 in 2010. Find the value of k in theexponential model Q(t) = Qoekt

Answers

A mall city had 5000 population of people in 2005 and 6200 in 2010, then the value of k is,

k = Log( [tex]\frac{\frac{Q(t)}{5000} }{t*log(e)}[/tex] )  ,  k = Log ( [tex]\frac{\frac{Q(t)}{6200} }{t*log(e)}[/tex] )

The value of t corresponds to the last two digits in the year.  

If t=0 represents the year 2000, then

For the year 2005,

t = 5

For the year 2010,

t = 10

First part of the problem.  

Find the value of k using these values.

Q(t) = 5000

t = 5

Q(t) = Qo[tex]e^{kt}[/tex]

Q(t) = 5000[tex]e^{kt}[/tex]

k is an exponential value.  When we solve for an exponential value, we must use logarithms.

First, divide both sides of equation by 5000

[tex]\frac{Q(t)}{5000}[/tex] = [tex]e^{kt}[/tex]

log both sides of the equation.

log(  [tex]\frac{Q(t)}{5000}[/tex] ) = log ([tex]e^{kt}[/tex] )

Next, bring the exponents down as the coefficients of the log.

log(  [tex]\frac{Q(t)}{5000}[/tex] ) = kt * log(e)

Divide by t*Log(e) both sides of equation to obtain k.

Log( [tex]\frac{\frac{Q(t)}{5000} }{t*log(e)}[/tex] )  = k

Now, plug in the values.

Second part of problem.  Find P using these values.

t = 10

Q(t) = Qo[tex]e^{kt}[/tex]

Q(t) = 6200[tex]e^{kt}[/tex]

k is an exponential value.  When we solve for an exponential value, we must use logarithms.

First, divide both sides of equation by 6200

[tex]\frac{Q(t)}{6200}[/tex] = [tex]e^{kt}[/tex]

log both sides of the equation.

log( [tex]\frac{Q(t)}{6200}[/tex] ) = log ([tex]e^{kt}[/tex] )

Next, bring the exponents down as the coefficients of the log.

log( [tex]\frac{Q(t)}{6200}[/tex] ) = kt * log(e)

Divide by t*Log(e) both sides of equation to obtain k.

Log ( [tex]\frac{\frac{Q(t)}{6200} }{t*log(e)}[/tex] ) = k

Now, plug in the values.

Therefore,

A mall city had 5000 population of people in 2005 and 6200 in 2010, then the value of k is,

k = Log( [tex]\frac{\frac{Q(t)}{5000} }{t*log(e)}[/tex] )  ,  k = Log ( [tex]\frac{\frac{Q(t)}{6200} }{t*log(e)}[/tex] )

To learn more about Population of people visit :

brainly.com/question/9184391

#SPJ4

HURRY WILL MARK BRAINLIEST An egg carton of a dozen eggs consists of 1 randomly selected empty cardboard container and 12 randomly selected eggs. The weights of the empty cardboard containers have a mean of 20
grams and a standard deviation of 1.7 grams. The weight of a single egg has a mean of 68.33 grams and standard deviation of 2.23 grams. It is reasonable to assume independence between the weights of the empty cardboard containers and the weights of the eggs. It is also reasonable to assume independence among the weights of the 12 eggs that are randomly selected for a full carton. Let the random variable X be the weight of a randomly selected carton of a dozen eggs.

Answers

i) The mean of x is 68.33 grams.

ii) The standard deviation of x is 2.23 grams.

What is standard deviation?

A standard deviation or (σ ) is a measurement of the data's dispersion from the mean. A low standard deviation indicates that data are concentrated around the mean, whereas a high standard deviation shows that data are more dispersed.

If the standard deviation is close to zero, the data points are close to the mean; otherwise, if the standard deviation is high or low, the data points are, respectively, above or below the mean.

i) Properties of expected values establish that

[tex]$\mathrm{E}(W)=\mathrm{E}(P)+\mathrm{E}\left(X_1\right)+\ldots+\mathrm{E}\left(X_{12}\right)$[/tex]

Because all 12 eggs have the same mean weight, this becomes

[tex]$\mathrm{E}(W)=\mathrm{E}(P)+12 \times \mathrm{E}\left(X_i\right)$[/tex]

We were told that

[tex]$\mathrm{E}(W)=840$ and $\mathrm{E}(P)=20$, so we can solve[/tex]

[tex]$840=20+12 \times \mathrm{E}\left(X_i\right)$ to find $\mathrm{E}\left(X_i\right)=\frac{840-20}{12} \approx 68.33$ grams.[/tex]

ii) Because of independence, properties of variance establish that

[tex]$${Var}(W)={Var}(P)+{Var}\left(X_1\right)+{Var}\left(X_2\right)+\ldots+{Var}\left(X_{12}\right)$$[/tex]

Because all 12 eggs have the same variance of their weights, this becomes

[tex]${Var}(W)={Var}(P)+12 \times {Var}\left(X_i\right)$[/tex]

We were told that

[tex]${SD}(W)=7.9\ \text {and}\ {SD}(P)=1.7$ Therefore, ${Var}(W)=(7.9)^2=62.41$ and ${Var}(P)=(1.7)^2=2.89$[/tex]

We can solve

[tex]$ 62.41=2.89+12 \times {Var}\left(X_i\right)$[/tex]

To find

[tex]${Var}\left(X_i\right)=\frac{62.41-2.89}{12}=4.96$[/tex]

Thus, SD[tex](X_i\right))=\sqrt{(4.96)} \approx[/tex] 2.23 grams.

Learn more about standard deviation

https://brainly.com/question/23907081

#SPJ1

Scientists are preparing two satellites to be launched. The equation y=7000xy=7000x represents the number of miles, yy, that the satellite, Space Explorer A, flies in xx hours. The satellite, Space Explorer B, flies 84000 miles in 20 hours.
Use the dropdown menu and answer-blank below to form a true statement.

Answers

The rate of flying explorer A is more than the rate of explorer B.

What is proportionality?

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here,
Proportionality equation for explorer A,
y=7000x
Rate of flying explore A = 7000

Rate of flying explore B,
Rate = distance / time = 84000 / 20 = 42000

Thus, the rate of flying explorer A is more than the rate of explorer B.

Learn more about proportionality here: https://brainly.com/question/22620356

#SPJ1

Ron and his friends like to send messages to one another. One evening, Ron estimated how many messages he'd sent that day. When he looked at his phone, he saw he'd sent 25 messages. His estimate had been 40% more than that. How many messages did Ron estimate he'd sent?

Answers

We know that Ron's estimate for the number of messages he sent that day was 40% more than the actual number of messages he sent. To find out how many messages he estimated he sent, we need to undo this percentage increase.

If the actual number of messages Ron sent was 25, and his estimate was 40% more than that, we can use the following equation:

Estimated number of messages = Actual number of messages + (Actual number of messages * 40%)

We can then substitute in the known values and solve for the estimated number of messages:

Estimated number of messages = 25 + (25 * 40%)

Estimated number of messages = 25 + (25 * 0.4)

Estimated number of messages = 25 + 10

Estimated number of messages = 35

Therefore, Ron estimated that he sent 35 messages that day.

Can anyone help me with this ASAP I have done this but it ain’t working thanks

Answers

Answer:

No picture is shown?

Step-by-step explanation:

Answer: i think i did it

Step-by-step explanation:

express the absolute value f(x)=6|x| function as a piecewise-defined function.

Answers

The absolute value f(x)=6|x| function as a piecewise-defined function is:

f(x) = { 6x, if x ≥ 0

        { -6x, if x < 0

How to express an absolute value function as a piecewise-defined function?

A piecewise-defined function is a function that is defined by multiple sub-functions, each of which applies to a certain range of the input (or domain) values.

Each sub-function is defined by a separate piece of the overall function, and together they define the entire domain of the function. The sub-functions are typically separated by breakpoints, which are values of the input variable at which the sub-functions change.

|x| can either be -x or x. Thus, the absolute value function f(x) = 6|x|  can be written as:

f(x)= 6x or f(x)= -6x

Therefore, the piecewise-defined function of f(x) = 6|x| will be:

f(x) = { 6x, if x ≥ 0

        { -6x, if x < 0

Learn more about piecewise-defined function on:

brainly.com/question/18499561

#SPJ1

A set of data has a normal distribution with a mean of 50 and a standard
deviation of 8. Find the percent of data within the interval less than 50.
A. 34%
B. 68%
C. 50%
D. 97.5%

Answers

If a set of data has a normal distribution with a mean of 50 and a standard deviation of 8. the percent of data within the interval less than 50 is; C. 50%.

How to find the percent of data?

Based on the details given the percent of data within the interval less than 50 is not 34% or 68% or 97.5% but rather the percent of data  is 50%.

The reason why it is 50% is that  the mean is 50 in which the data has a normal distribution, 50 is the center of the distribution.  Based on this half the data falls above the mean and half the data falls below the mean.

Therefore the correct option is C.

Learn more about percent of data within the interval here;https://brainly.com/question/26658887

#SPJ1

what is the domain explain any restrictions

Answers

A function's domain is the set of all possible inputs to the function. Domains can be limited if the function is rational and the denominator is 0 for some x value or values.

What are the 3 domain restrictions?

The square root function, log function, and reciprocal function are the three functions with limited domains. Because you cannot take square roots of negative numbers and produce real numbers, the square root function has a limited domain.

To find the domain restriction of an expression, take the expression's denominator. Put that denominator to zero. Solve the resulting equation for the denominator zeroes. The domain consists of all other x-values.

Learn more on domain restrictions here: https://brainly.com/question/28368825


#SPJ1

How do you find the ordered pair of a function?

Answers

To find the ordered pair (x, f(x)) of a function, you must first know the function's equation. The ordered pair is a combination of the input value (x) and the output value (f(x)) of the function.

Here are the steps to find the ordered pair of a function:

Identify the input value (x) for which you want to find the corresponding output value (f(x)). Substitute the input value (x) into the function's equation. For example, if the function is f(x) = 2x + 3, and you want to find the ordered pair for x = 4, you would substitute 4 into the equation:

f(4) = 2(4) + 3 = 8 + 3 = 11

The output value (f(x)) is the result of the equation when you substitute the input value (x). In this example, f(4) = 11The ordered pair for this input value (x) is (4, 11). The first value in the ordered pair is the input value (x), and the second value is the output value (f(x)).

It's important to note that the ordered pair will be different for every input value (x) you substitute into the function's equation.

For instance, if you want the ordered pair of f(x) = 2x + 3 for x = 5 you will have (5,13) as an ordered pair.

It's also worth mentioning that in some cases you might have functions like[tex]f(x) = (x-2)^2 + 1[/tex], you can use the same process but you will be solving the equation rather than just substituting it.

To learn more about the ordered pair, visit:

brainly.com/question/30113488

#SPJ4

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak. It costs $27 to rent the kayak for 3 hours. Write an equation that represents the situation.

Answers

Answer:

y = 9x

Step-by-step explanation:

Let y = the cost

Let x = the number of hours

It costs $9 and hour to rent 27/3 = 9

9 divided by 20.25 help L

Answers

Answer:

0.444

9/20.25=0.444

The total weight of red balls and yellow balls in a basket is
4,300 g. Each red ball weighs 35 g, and each yellow ball
weighs 40 g. How many yellow balls are there if there are 60
red balls in the basket?
yellow balls

Answers

According to the condition given in the question that the basket contains red balls and yellow balls weighing 4300 g, the total number of yellow balls in the basket  would be 55.

What is algebra?

Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols, including solving equations and analyzing graphs

What is the difference between an equation and an expression?

An equation is a statement of equality between two expressions, while an expression is a combination of numbers, variables, and mathematical operations. An equation is something that can be solved to find the value of the unknown, while an expression is a combination of numbers and operations that stands on its own.

Let there are R red balls and Y yellow balls in the basket,

As given in the question, each red ball weighs 35 g and each yellow ball weighs 40g, and the total weight of basket is 4300 g,

so, 35 * R + 40 * Y = 4300

Also, there are 60 red balls in the basket , so R =60,

35 * 60 + 40 * Y = 4300

therefore, Y = 55

Hence there are 55 yellow balls in the basket.

To learn more about algebra visit:

https://brainly.com/question/24875240

#SPJ1

At 10:00 a. M. , Han and Tyler both tarted running toward each other from oppoite end of a 10-mile path along a river. Han run at a pace of 12 minute per mile. Tyler run at a pace of 15 minute per mile. How far doe Han run after a half hour? After an hour?

Answers

2.5 miles Han run after a half hour

it will take 1[tex]\frac{1}{9}[/tex] to meet both

Given that

At 10:00 a. M. , Han and Tyler both tarted running toward each other from opposite end of a 10-mile path along a river.

Han run at a pace of 12 minute per mile.

Tyler run at a pace of 15 minute per mile.

We can say that he is capable of running at a pace of 5 mph. (Since speed is equal to 1/pace, and 12 minutes equal 1 mile and 60 minutes equal 5 miles),

Similar to this, Tyler would run at a speed of 4 miles per hour if he ran a mile at a pace of 15 minutes.

distance = speed * time

The distance covered by Han in half an hour = 1/2 × 5 = 2.5 miles

the time at which Han and tyler will meet,

T= Total distance/ ( the sum of their speed)

T = 10/5+4 = 10/9

T = 1[tex]\frac{1}{9}[/tex] hours is greater than 1 hour

so, they will not meet within 1 hour

To learn more about speed:

https://brainly.com/question/7359669

#SPJ4

Determine the equation of a straight line passing through (-1,3) and parallel to the line whose equation is 3x-5y=10.

Answers

Answer:

y = (3/5)x+3.6

Step-by-step explanation:

Let's look for an equation of the standard form: y=mx+b, where m is the slope and b is the y-intercept (the value of y when x is 0).  Parallel lines have the same slope, m.  Next, rearrange the reference line to standard format:

  3x-5y=10

   -5y = -3x + 10

    y = (3/5)x + 2

Now we can easily find the slope.  The slope of the reference line is (3/5).  That will also be the slope of the parallel line, so we can write:

   y = (3/5)x + b

We need a value of b that will shift the line so that it touches point (-1,3) .  ["passes through"].  Enter that point into the above equation and solve for b:

   y = (3/5)x + b

   (3) = (3/5)*(-1) + b   for point (-1,3)

   3 = -(3/5) + b

 -(3/5) = 3-b

  -b = -3 - (3/5)

   b = 3+(3/5)

   b = (18/5), or 3.6

The equation becomes y = (3/5)x+3.6

See the attached graph.

[Parallel lines have a lot in common.  Too bad they'll never meet.]

What are the 3 ways to calculate slope?

Answers

There are several ways to calculate the slope of a line, but the most common ways are:

Rise over Run: This is the most basic and intuitive way to calculate slope. It involves taking the difference in the y-coordinates (rise) and dividing it by the difference in the x-coordinates (run) between two points on the line. The slope is represented by the letter "m" and can be calculated using the following formula: m = (y2 - y1) / (x2 - x1)

For example, if two points on a line are (3,6) and (6,9) the slope can be calculated as: m = (9-6) / (6-3) = 3/3 = 1

Point-Slope Form: This method uses the coordinates of a single point on the line and the slope of the line to find the equation of the line. The slope is represented by the letter "m" and the point by the coordinates (x1, y1). The equation of the line in point-slope form is: y - y1 = m(x - x1)

Slope-Intercept Form: This method expresses the equation of a line in the form of y = mx + b, where m is the slope and b is the y-intercept. To find the slope-intercept form, you need to know the slope and the y-intercept (the point where the line crosses the y-axis) of the line.

Read more about the slope:

brainly.com/question/1884491

#SPJ4

Find the measure of the indicated arc or angle.

Answers

The measure of the arc QP is QP = 66°.

What is inscribed angle?

In terms of geometry, an inscribed angle is the angle created when two chords intersect within a circle. It can also be described as the angle formed by two specified points on a circle at a given point on the circle. Two chords of the circle sharing an endpoint are equivalently used to define an inscribed angle.

Given:

m ∠ RPQ = 57°

We have to find the measure of the arc QP.

Since,

RQ = 2*m ∠RPQ

RQ = 2*(57°)

RQ = 114°

Let

 RP = RQ + QP

180° = 114° + QP

 QP = 180° - 114°

 QP = 66°

Hence, the measure of the arc QP is QP = 66°.

To know more about inscribed angle, click on the link

https://brainly.com/question/3538263

#SPJ1

Is this correct? If not, please explain.

Answers

Yes your answer was correct.

How do you write 1st in exponential form?

Answers

The number 1 in exponential form can be written as 1 itself , because 1 is the base and the "number 1" to the exponent of any number will be 1 only .

What is Exponential Form?

The exponential Form of representation is a way of representing the repeated multiplication which involves base and exponents.

For Example : if 3 is multiplied 2 times ,then the exponential form will be [tex]3^{2}[/tex] ;

we have to write the exponential form of the number 1 ;

So , the base of the number is 1 , let x be the exponent ,

So , the exponential form will be ⇒ [tex]1^{x}[/tex] , on substituting any value in x , we will always get the result as 1 .

Therefore , the exponential form of the number 1 is 1 .

The given question is incomplete , the complete question is

How do you write the number 1 in exponential form ?

Learn more about Exponential Form here

https://brainly.com/question/24448717

#SPJ4

A salesclerk is creating a display of 14 polo shirts and 56 team shirts. Only one type of shirt can be in each row. What is the maximum number of shirts in each row so that all the rows are equal in length?.

Answers

The maximum number of shirts in each row is 14 shirts. The result is obtained by finding the greatest common factor.

How to find the greatest common factor (GFC)?

The GFC can be found by using factor trees. We will get prime factorization to determine the GFC. Here are the steps.

Make factor trees by dividing the number by the smallest prime that can divide it.Determine prime factorization.Choose the common factors and multiply them.

A salesclerk is displaying 14 polo shirts and 56 team shirts. In each row, there are only one type of shirt. Find the maximum number of shirts in each row so that the length of all rows are equal!

To make the length of all rows equal, we should find the GFC of two kinds of shirts. That would be the maximum number of shirts.

See the factor trees illustration in the attachment!

The prime factorization

14 = 2 × 756 = 2 × 2 × 2 × 7

The common factors are 2 and 7.

The greatest common factor is

= 2 × 7

= 14

Hence, the shirts displayed would be a maximum of 14 shirts in each row.

Learn more about GFC here:

brainly.com/question/29056044

#SPJ4

May ha 4/15 meter of lace while lovie ha 2/7 meter longer Than may lace. How meter of lace do girl have altogether?

Answers

May ha 4/15 meter of lace while lovie ha 2/7 meter longer Than may lace then 86/105 meter of lace do girl have altogether

Meter Definition

The meter is the standard unit of measuring length in the International System of Units (SI). Its symbol is “m” and it is one of the seven base units of the SI system.

May has 4/15 meters of lace

Lovie has a lace that is 2/7 meters longer

4/5 + 2/7

= 58/105

Therefore the lace they own together can be calculated as follows

= 4/15 + 58/105

= 86/105

Hence together they have 86/105 meters of lace

that is May ha 4/15 meter of lace while lovie ha 2/7 meter longer Than may lace then 86/105 meter of lace do girl have altogether

learn more about of meter here

https://brainly.com/question/21538198

#SPJ4

Please answer this question with decent explanation. Thank you.

Answers

Answer:

15.966

Step-by-step explanation:

a/sinA=b/sinB

12/sin37⁰=x/sin53⁰

cross multiply ;

12sin53⁰=xsin37⁰

9.58=0.60x

x=15.966

The operation is defined on thet set of R by by a*b-1 for all abER Is R Closed under the operation?​

Answers

When the operation is defined on the set of R by a*b-1, it is commutative rather than associative.

what is equation ?

In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. Take a look at the formula 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the word "equal." The standard form, the point-slope form, and the slope-intercept form are the three primary kinds of linear equations. Algebra is used in many equations. When it comes to arithmetic, algebra is used when it's difficult to compute an exact amount.

Given,

a∗b=1+ab,∀a,b∈R

Commutativity a∗b=1+ab

=1+b.a

=b∗a

∵ Set of real numbers is commutative.

So, a∗b=b∗a

∴ is commutative Associativity (a∗b)∗c=(1+ab)∗c

=(1+ab)c

=2+abc

a∗(b∗c)=a∗(1+bc)=1+a∗(a+bc)

=1+a+abc

It is clear that (a∗b)∗c

=a∗(b∗c)

So, * operation is not associative.

So, option (a) is correct.

When the operation is defined on the set of R by a*b-1, it is commutative rather than associative.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Match each graph with the situation it represents

Answers

A) Leaving home in a car and going to a store, shopping for a while, and then coming back home (the direction of the store is positive) figure 2.

B) Rolling a marble down the stairs (the bottom of the stairs is the origin)  figure 6.

C) Rolling a marble towards a table (the direction from which the marble came was the negative direction). figure 1.

What is graph?

The graphs are extremely helpful and widely used data structures. They are applied to a wide range of object relationships and, in reality, are applicable to almost everything.

The graphs represent a generalised structure that allows for the modelling of a very broad range of real-world situations, as we shall see in more detail. Trees are a subset of graphs, and lists are special cases of both trees and thus of graphs.

Since graphs are frequently used in practise, there has been a great deal of research into "graph theory," where there are many known problems for graphs and many well-known solutions to them.

Learn more about graphs

https://brainly.com/question/17267403

#SPJ1

14. The sum of money of $3.500 is divided among Adrian, Sean and James. Scan received half. Adrian received $850 and James received the remainder. Calculate:
(a) Sean's share
(b) James' share
c) the ratio in which the $3 500 was divided among the three persons
D) the percentage of the total amounts that Adrian received ​

Answers

a. 1750; b. 900; c. Sean 50%, Adrian = 850/3500= 24.3%, James =25.7%

How to calculate the problem?

step1

The sum of money of $3500 is divided among Adrian, Sean and James. Sean received half. Adrian received $850 and James received the remainder, calculate:

(a) Sean's share:

Sean received = 3500/2 = $ 1750

                        = (1750/3500)*100 = 50%

(b) James' share:

James received = 3500 - 1750 - 850 = $ 900

                          = (900/3500)*100 = 25.7 %

step2

(c) the ratio in which the $3500 is divided Amon the three persons.

Adrian :Sean: Ames = 850:1750:900 = 17:35:18

(d) the percentage of the total that Adrian received.

 Adrian received = (850/3500)*100 = 24.3 %

To learn more about sum of money refers to;

https://brainly.com/question/12243828

#SPJ1

How do you use section formula?

Answers

We use Section formula for internal division: P(x, y) = x = (m₁x₂ + m₂x₁)/(m₁+ m₂) and y = (m₁y₂ + m₂y₁)/(m₁+ m₂).

Section formula for external division: P(x, y) = x = ((m₁x₂ - m₂x₁)/(m₁+ m₂) , y = (m₁y₂ - m₂y₁)/(m₁+ m₂).

What is the section formula?

In coordinate geometry, the Section formula is used to determine the internal or external ratio at which a line segment is divided by a point. It is used to determine a triangle's centroid, incenter, and excenter. It is employed in physics to identify equilibrium locations, system centers of mass, etc.

Here,

We have to find the use of the section formula.

we concluded that the section formula is used for internal division: P(x, y) = x = (m₁x₂ + m₂x₁)/(m₁+ m₂) and y = (m₁y₂ + m₂y₁)/(m₁+ m₂).

Section formula for external division: P(x, y) = x = ((m₁x₂ - m₂x₁)/(m₁+ m₂) , y = (m₁y₂ - m₂y₁)/(m₁+ m₂).

Hence, the section formula is x = (m₁x₂ + m₂x₁)/(m₁+ m₂) and y = (m₁y₂ + m₂y₁)/(m₁+ m₂).

To learn more about the section formula from the given link

https://brainly.com/question/23459010

#SPJ4

Other Questions
.The ______ the value of adjusted r-squared, the greater the ___ of the model.multiple choice 2A. lower; capabilityB. greater; fitC. lower; fitD. greater; capability if jasmine avoids any situation in which help may not be available in case a panic attack strikes, she may be suffering from a(n): A tugboat T having a mass of 19 Mg is tied to a barge B having a mass of 75 Mg. If the rope is "elastic" such that it has a stiffness k = 600 kN/m. Using the Conservation of Energy Equation determine the maximum stretch in the rope during the initial towing Originally both the tugboat and barge are moving in the same direction with speeds (v tau)i =15 km/h and (vb)t = 10 km/h. respectively. First use the Conservation of Momentum Equation to find final velocity of the tug & barge after stretching the rope fully. Neglect the resistance of the water. A solid disk of radius 8.10 cm and mass 1.55 kg, which is rolling at a speed of 2.40 m/s, begins rolling without slipping up a 15.0 degree slope. How long will it take for the disk to come to a stop? jessie meets the criteria for both depression and an anxiety disorder. meeting the criteria for more than one disorder is referred to as ___________. what frequency is perceived by the occupant of a car traveling towards the factory at 25.0 m/s? express your answer in hertz. How has occupational planning changed in the past several decades? a. It depends more on adolescents' emotional health and less on their physical health. b. For most people in industrialized nations, it now happens much later. c. It depends less on adolescents' emotional health and more on their physical health. d. For most people in industrialized nations, it now happens much earlier. The fission of 1 kg of uranium produces 8.01013J of energy. Part (a) Calculate the mass, in grams, converted to energy by the fission of 0.95 kg of uranium. (answer in: m)Part (b) What is the ratio of converted mass to original mass? (answer in: m) Your friend asks you to be her swimming buddy. Shes an experienced swimmer, and youve just started taking lessons this summer personalizing the online experience of people is not an advantage of online data and its use with regard to the 4 p's of marketing. true false Find the first four nonzero terms of the Taylor series about 0 for the function t^(2)sin(5t) An MP3 player in Singapore costs 200 Singaporean dollars. In the U.S. it costs 100 US dollars. Which of the following is correct? a. if the nominal exchange rate is .50 Singaporean dollars per U.S. dollar, purchasing power parity holds. if the nominal exchange rate is 1 Singaporean dollars per U.S. dollar, purchasing power parity holds. if the nominal exchange rate is 2.0 Singaporean dollars per U.S. dollar, purchasing power parity holds. purchasing power parity does not hold at any of the above exchange rates. Consider the indefinite integral | x*8 x4(8 + 6x5,4 dx. (a) The most appropriate substitution is u = (b) After making the substitution, we obtain the integral s( 1). du. (c) Solving this integral (in terms of u) yields + C. (d) Substituting for u we obtain the answer $** x4(8 + 6x5)4 dx = + C. Part A: Jan INCORRECTLYfinds the surface area of thecone using the followingwork. Explain Jan's errorand find thecorrect volume ANDsurface area of the cone. what statement most accurately describes a texas state-mandated policy relating to students who are limited english proficient (lep)? what provides the chemical un number and guidance on sea, air or land (road or rail) methods. unlike earlier u.s. immigration patterns, approximately one-third of all immigrants are from ________. studies found that the neural response to an eyelid being sutured shut was A flexible camping tank has a sample of butane gas at 12.3 atm and has volume of 8.5L . What will be the volume if the pressure is adjusted to 7.6 atm? Which aspect of certificates makes them a reliable and useful mechanism for proving the identity of a person, system, or service on the Internet?Trusted third-party