To rent a Bird scooter you must pay $1 to start and then $0.50 for every 15 minutes you ride. Is the cost proportional to the amount of time you ride?

Answers

Answer 1

Step-by-step explanation:

if you rent a scooter for 15 minutes you pay $1.50 ($1 to start and $0.50 rental) and if you rent it for 30 minutes then you pay $2.00 ($1 to start and $1 rental). This is NOT proportional because $1.50/15-mins and $2.00/30-min are NOT equivalent ratios


Related Questions

you buy 4 video tapes for 14.99 each and 3 dvds for 19.99 each find the total cost of the movies

Answers

Answer:

119.93

Step-by-step explanation:

I will assume the total of the cost of the movies will be the total.

the total  = 4*14.99 + 3*19.99

total = 119.93

calculate the mse for the regression models developed in parts (b) and (d). if required, round your intermediate calculations and final answer to three decimal places. model developed in part (b) model developed in part (d) mse is the model you developed in part (b) or the model you developed in part (d) more effective? the model developed in - select your answer - is more effective because it has the - select your answer - mse.

Answers

The MSE for the regression models developed in parts (b) and (d) is Ŷ = 5.10 + 0.83X

Let's assume that the dependent variable in both models is denoted by Y, and the independent variable is denoted by X. The regression model developed in part (b) is expressed as:

Y = 5.10 + 0.83X

The regression model developed in part (d) is expressed as:

Y = 4.90 + 0.89X + 0.012X²

To calculate the MSE for the model developed in part (b), we need to first calculate the predicted values of Y using the equation:

Ŷ = 5.10 + 0.83X

Then, we can calculate the squared difference between the predicted value Ŷ and the actual value Y for each data point, and take the average of these squared differences. This gives us the MSE for the model developed in part (b).

Similarly, to calculate the MSE for the model developed in part (d), we need to first calculate the predicted values of Y using the equation:

Ŷ = 4.90 + 0.89X + 0.012X^2

Then, we can calculate the squared difference between the predicted value Ŷ and the actual value Y for each data point, and take the average of these squared differences. This gives us the MSE for the model developed in part (d).

After calculating the MSE for both models, we can compare them to determine which model is more effective. A lower MSE indicates that the model is more accurate in predicting the dependent variable.

Therefore, the model developed in either part (b) or (d) with the lower MSE is considered to be more effective.

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The amount of money Camilla earns varies directly with the number of hours she works. If she earns $150 when she works 20 hours, how much will she earn for working 60 hours?

What is k ? (k = y/x)

What is the equation for the direct variation situation? (y = kx)

How much will she earn for working 60 hours?

Answers

What is k ? (k = y/x)

     If y is dollars earned and x is hours worked,

k = y/x

k = 150 dollars /20 hours

k = 7.50 dollars per hour

What is the equation for the direct variation situation? (y = kx)

y = kx

y = (7.50)(60)

y = 450

How much will she earn for working 60 hours?

y = $450

       She will earn $450 after working for 60 hours.

each of the following partitions of {0, 1, 2, 3, 4} induces a relation r on {0, 1, 2, 3, 4}. in each case, find the ordered pairs in r.

Answers

The ordered pairs in relation r are:

Partition 1: No ordered pairs.

Partition 2: (r = {(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (0, 1), (1, 0)}).

Partition 3: (r = {(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (0, 1), (1, 0), (0, 2), (2, 0), (1, 2), (2, 1)}).

Partition 4: (r = {(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (0, 1), (1, 0), (0, 2), (2, 0), (0, 3), (3, 0), (0, 4), (4, 0), (1, 2), (2, 1), (1, 3), (3, 1), (1, 4), (4, 1), (2, 3), (3, 2), (2, 4), (4, 2), (3, 4), (4, 3)}).

We have,

Consider each partition separately:

Partition 1: {{0}, {1}, {2}, {3}, {4}}

Since each element is in its own subset, there are no elements related to each other.

Therefore, the relation r is empty, and there are no ordered pairs.

Partition 2: {{0, 1}, {2, 3, 4}}

Within this partition, the elements 0 and 1 are in the same subset, and the elements 2, 3, and 4 are in another subset.

Therefore, the ordered pairs in the relation r are:

{(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (0, 1), (1, 0)}

Partition 3: {{0, 1, 2}, {3, 4}}

Within this partition, the elements 0, 1, and 2 are in the same subset, and the elements 3 and 4 are in another subset.

Therefore, the ordered pairs in the relation r are:

{(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (0, 1), (1, 0), (0, 2), (2, 0), (1, 2), (2, 1)}

Partition 4: {{0, 1, 2, 3, 4}}

Since all elements are in the same subset, they are all related to each other.

Therefore, the ordered pairs in the relation r are:

{(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (0, 1), (1, 0), (0, 2), (2, 0), (0, 3), (3, 0), (0, 4), (4, 0), (1, 2), (2, 1), (1, 3), (3, 1), (1, 4), (4, 1), (2, 3), (3, 2), (2, 4), (4, 2), (3, 4), (4, 3)}

Thus,

These are the ordered pairs in the relation r induced by each partition of {0, 1, 2, 3, 4}.

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The staff of Mr. Wayne Wertz, VP of Operations at Portland Peoples Bank, prepared a frequency histogram of waiting time for walk-in customers. Approximately how many walk-in customers waited at least 6 minutes? (Note the position of the labels on the x-axis — the first column is the number of customers who waited 1 minute and the last column is the number of customers who waited 10 minutes)

Answers

The number of people who waited at least 6 minutes is given as follows:

50 people.

What is shown by the histogram?

The height of each bin of the histogram represents the number of observations of the data-set in the desired interval.

The desired outcomes for this problem are given as follows:

Between 6 and 7 minutes: 20 people.Between 7 and 8 minutes: 15 people.Between 8 and 9 minutes: 10 people.Between 9 and 10 minutes: 5 people.

Hence the number of people who waited at least 6 minutes is given as follows:

20 + 15 + 10 + 5 = 50 people.

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The staff of Mr. Wayne Wertz, VP of Operations at Portland Peoples Bank, prepared a frequency histogram

How long is the longest line segment that will fit inside a square of area 50 square units? Show
all work.

Answers

Answer:

Longest Line Segment will be ita Diagonal passing accross it from opposite corners.

Step-by-step explanation:

The longest line segment is 10 units long.

How long is the longest line segment that will fit inside a square of area 50 square units? Showall work.

Verizon has a special and is selling the new IPhone 7 for $299 to new customers. If the Apple Store is charging twice as much as verizon then how much is Apple charging for the new phone

Answers

Answer:

the answer is $598

Step-by-step explanation:

299×2=598

Choose the best definition for the following phrase: combining like terms (1 point)
A letter that holds the place for some unknown value in mathematics
A process where you must look for terms that have identical variable parts and then combine their coefficients
A process where if two things are equal, one can be put in the place of the other and nothing will change
Terms that have identical variable parts

Answers

Answer:

D. Terms that have identical variable parts

Step-by-step explanation:

Like terms refers to terms that have identical variable parts.

For example:

Given the expression

2xy + z + x + 3y - 5z + 4y - xy + 3x

The like terms in the expression are:

2xy - xy= xy

z - 5z= -4z

x + 3x= 4x

3y + 4y=7y

The new expression will be

xy - 4z + 4x + 7y

The standard deviation of a sampling distribution of sample means is also called the _____.

a. sampling deviation.

b. distribution error.

c. sampling error.

d. standard error

Answers

The correct answer is d. standard error.the standard deviation of a sampling distribution of sample means is referred to as the standard error.

The standard deviation of a sampling distribution of sample means is commonly referred to as the standard error. It represents the variability or dispersion of the sample means around the population mean. The standard error quantifies the precision of the sample mean as an estimate of the population mean.

The sampling distribution of sample means is a theoretical distribution that shows the distribution of sample means obtained from multiple random samples of the same size taken from a population. It is an essential concept in inferential statistics, particularly when estimating population parameters.

The standard error is calculated by dividing the standard deviation of the population by the square root of the sample size. Mathematically, it is represented as:

Standard Error = (Population Standard Deviation) / √(Sample Size)

The standard error measures the average amount of deviation or error between the sample means and the population mean. A smaller standard error indicates less variability and greater precision in estimating the population mean. On the other hand, a larger standard error implies more variability and less precision.

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I'm literally about to give up on this

I'm literally about to give up on this

Answers

Answer:

The new shape will be like the one that i have drawn for you , i think .

add two ( to base* from both sides of it * )

delete one ( from hights )

Step-by-step explanation:

Hope it was useful ;)

I'm literally about to give up on this

What is the importance of constructing a probability distribution for a random variable in interpreting data?​

Answers

A probability distribution model is a guide you use to fit a random variable in order to generalize its behavior.

A probability distribution is a list of all of the possible outcomes of a random variable, along with its corresponding probability values.

A probability distribution links each outcome of a random variable or process with its probability of occurrence.

A probability distribution model is a guide you use to fit a random variable in order to generalize its behavior.

These models have a mathematical background, and can be very picky. For them to work properly, the random variable you are trying to fit in must meet different assumptions so that the outcomes of the model have the correct probabilities, and also so that you can test and validate the model against real data from the random variable.

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Is y=4/x-3 linear or non-liner

Answers

Linear

Trust me it is

PLEASE HELP!!
I just can’t seem to get this at all.

PLEASE HELP!!I just cant seem to get this at all.

Answers

The equation solved is 1+-2/x²=-x-1 is 2x²+x³-2=0

Find the  value of p and q ?the value of p is p=-x-q/x²the value of q is q=-x³-px²Coordinates are written as (x, y) meaning the point on the x axis is written first, followed by the point on the y axisThe coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane. Recall that the coordinate plane has two axes at right angles to each other, called the x and y axis. The coordinates of a given point represent how far along each axis the point is located.The point where the axes intersect is called the origin. Let's plot a point on the coordinate plane. The location of Point A is given as a horizontal component (x) and a vertical component (y) and written as (x,y). From the origin, to get to Point A, we would count two units to the right and three units up

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Find 39.2% of 448.Round to the nearest hundredth.

Answers

Answer:

175.62

Step-by-step explanation:

39.2•448=17561.6

17561.6/100=175.616

=175.62

How many terms are in the expression 3x+y−23−5

Answers

Answer:

There are 4 terms

Step-by-step explanation:

“Terms are single numbers, variables, or the product of a number and variables. Examples of terms: 9 a 9a 9a. y y y.”

Solve using substitution.
y = 6x + 2
y = 6x 10

Answers

Answer:

Step-by-step explanation:

1/27,20/9

Amy had $80 to spend on a filter. She spent 20% of the money on a filter and paid $16 to a plumber to install it. What is the percentage of the money she is left with

Answers

Amy is left with 60% of the money she had initially.

Let's break down the problem step by step:

Amy had $80 to spend on a filter.

She spent 20% of the money on a filter, which is 0.20 * $80 = $16.

After purchasing the filter, she paid $16 to a plumber to install it.

So far, Amy has spent a total of $16 + $16 = $32.

To find out how much money Amy is left with, we subtract the amount she has spent from the initial amount she had:

$80 - $32 = $48

Amy is left with $48.

To determine the percentage of the money she is left with, we can calculate what portion of the initial amount she still has:

($48 / $80) * 100 = 60%

Therefore, Amy is left with 60% of the money she had initially.

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the moon's orbit about the earth is an ellipse with the earth at one focus. if the major and minor axes of the ellipse have lengths of 474000 miles and 473000 miles respectively, what are the greatest and least distances from the earth to the moon?

Answers

We know that the major axis of the ellipse is the longest diameter of the ellipse and passes through both foci. The sum of the distances from any point on the ellipse to the two foci is constant and equal to the length of the major axis.

Let's call the distance from the center of the ellipse to one focus "c." We can find "c" using the equation:

c^2 = a^2 - b^2

where "a" is half the length of the major axis and "b" is half the length of the minor axis.

a = 474000/2 = 237000
b = 473000/2 = 236500

c^2 = 237000^2 - 236500^2
c^2 = 11225000000
c = 105889.77 miles (approximately)

So one focus of the ellipse is about 105,889.77 miles from the center of the ellipse. The distance from the earth to the center of the ellipse is equal to "a," or 237,000 miles.

Therefore, the greatest and least distances from the earth to the moon are:

- Greatest distance: 237,000 + 105,889.77 = 342,889.77 miles
- Least distance: 237,000 - 105,889.77 = 131,110.23 miles

So the moon's distance from the earth varies by about 211,779.54 miles over the course of its orbit.

suppose the scores of students on a statistics course are normally distributed with a mean of 469 and a standard deviation of 50. what percentage of the students scored between 469 and 569 on the exam? brainly

Answers

50 percent of the students scored between 469 and 569 on the exam.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

\(\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}\)

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

It is given that, the scores of students in a statistics course are normally distributed with a mean of 469 and a standard deviation of 50.

We have to find the percentage of the students who scored between 469 and 569 on the exam,

The Z value is,

Z = (569-469)/50

Z=2

Thus, 50 percent of the students scored between 469 and 569 on the exam.

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On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to find the area of triangle RST? (8 â™ 4) - One-half (10 12 16) (8 â™ 4) - (10 12 16) (8 â™ 4) - One-half (5 6 8) (8 â™ 4) - (5 - 6 - 8).

Answers

The area of a triangle is the amount of space on the triangle

The expression that represents the area of the triangle is \(A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|\)

The coordinates of the triangle are given as:

\(R = (-5,6)\)

\(S = (3,4)\)

\(T = (-2,2)\)

The area (A) of a triangle from its coordinates or vertices are:

\(A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|\)

Substitute values for x's and y's

\(A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|\)

Hence, the expression that represents the area of the triangle is \(A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|\)

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pan of which followi. Aequired: 1. A Proakie al inoome absement for the year ansed Kowember 20 , sora. C. Prepare a baiance theef as of Noventer 30 2oya acied Noventer 30, a VE. have been tho awount of aw meane ar not ioss?

Answers

The income statement should include all sources of revenue and deduct all applicable expenses to calculate the net income or loss for the period. To create a balance sheet gather information about the company's assets, liabilities, and shareholders' equity as of that specific date. To determine whether there has been an increase or decrease compare the net income figure from a previous period with the net income figure from the current period

1) To prepare a projected income statement for the year ending November 20, sora, you would need to gather information about the revenues and expenses expected during that period. The income statement should include all sources of revenue and deduct all applicable expenses to calculate the net income or loss for the period.

2) To create a balance sheet as of November 30, 2oya, you will need to gather information about the company's assets, liabilities, and shareholders' equity as of that specific date. The balance sheet provides a snapshot of the company's financial position, showing what it owns, owes, and the remaining equity.

3) To determine whether there has been an increase or decrease in the amount of net income, you would need to compare the net income figure from a previous period (presumably November 20, sora) with the net income figure from the current period (ending November 30, 2oya). If the net income has increased, it means the company has generated more profit during the current period compared to the previous one. Conversely, if the net income has decreased, it indicates a decline in profitability.

Overall, the task involves preparing a projected income statement and balance sheet and analyzing the change in net income to assess the company's financial performance.

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your laundry basket contains 4 plain socks: a red one, a blue one, a yellow one and a green one. the basket also contains 4 striped socks: a red striped one, a blue striped one, a yellow stripped one and a green stripped one. if you want to wear a plain sock on your left foot and a stripped sock on your right foot, how many options do you have?

Answers

The total number of probability options will be 8 options.

1. Red plain and Red striped.

2. Blue plain and Blue striped.

3. Yellow plain and Yellow striped.

4. Green plain and Green striped.

5. Red plain and Blue striped.

6. Blue plain and Yellow striped.

7. Yellow plain and Green striped.

8. Green plain and Red striped.

There are 8 socks in the basket, and you can choose 1 plain sock and 1 striped sock.

This means that there are 8 possible combinations of socks you could choose.

Count the number of socks in the basket. There are 8 total socks (4 plain and 4 striped).

The number of options: There are 8 possible combinations of socks you could choose, so you have 8 options for wearing a plain sock on your left foot and a striped sock on your right foot.

Therefore,

You have 8 options for wearing a plain sock on your left foot and a striped sock on your right foot.

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What is the scale factor in the dilation if the coordinates of A' are (-7, 6) and the coordinates of Care (-4, 3)?
C5
Ty
21
B
1A
15
D
12
19
B'6
A
0
-24-21-18-15-12-9-6-33
3 6 9 12 15 18 x
_9

Answers

Answer:

c5

Step-by-step explanation:

Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (2)marks (ii) Find the coordinates of the midpoint of the points A and B (iii) Find the distance between points A and B. (i). A line “t” is parallel to 3y = 6x + 9. Find the slope of this line “t”. (ii) Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line “r”.

Answers

Answer:

Question 1:

The coordinates are A(-2,9) and B(4,8)

(i) Slope = \(\frac{rise}{run}\)

Slope = \(\frac{y2-y1}{x2-x1}\)

Slope = \(\frac{8-9}{4+2}\)

Slope = \(\frac{-1}{6}\)

(ii) M(x,y) = \((\frac{x1+x2}{2} , \frac{y1+y2}{2} )\)

=> M(x,y) = \((\frac{-2+4}{2}, \frac{9+8}{2})\)

=> M(x,y) = \((\frac{2}{2} , \frac{17}{2} )\)

=> M(x+y) = (1 , 8.5)

(iii) Distance Formula = \(\sqrt{(x2-x1)^2+(y2-y1)^2}\)

D = \(\sqrt{(4+2)^2+(8-9)^2}\)

D = \(\sqrt{(6)^2+(-1)^2}\)

D = \(\sqrt{36+1}\)

D = \(\sqrt{37 }\) units

Question 2:

(i) The given equation is:

=> 3y = 6x+9

=> 3y = 3(2x+3)

Dividing both sides by 3

=> y = 2x+3

Where Slope = m = 2 and y-intercept = b = 3

Parallel lines have equal slopes

=> So,  Slope of line "t" = 2

(ii) Line 3y = 6x+9 has a slope of 2

=> Perpendicular lines have a slope of negative reciprocal such that multiplying their slopes will give -1

=> Gradient of line "r" = -1/2

In the past, the output of a process had a mean of 2.050 and a standard deviation of 0.020 liters. If a current sample of output had these values {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, would that indicate that the process is still "in order" (as opposed to being "out of order")? What if the sample was {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}?

Answers

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."

To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:

Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):

Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.

Compare the sample mean to the known process mean (2.050):

The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."

Calculate the sample standard deviation using the formula:

Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))

Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.

Compare the sample standard deviation to the known process standard deviation (0.020):

The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."

For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:

Calculate the sample mean:

Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034

Compare the sample mean to the process mean (2.050):

The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."

Calculate the sample standard deviation:

The sample standard deviation is approximately 0.019 liters.

Compare the sample standard deviation to the process standard deviation (0.020):

The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.

In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.

However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.

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A toy shop purchases 125 identical stuffed animals for a total cost of $321.50 and sells them for $7 each. What is the percent markup?

Answers

A toy shop purchases 125 identical stuffed animals for a total cost of $321.50 and sells them for $7 each. The percent markup is 171.9%.

The total cost of purchasing 125 identical stuffed animals is $321.50.

To find the cost per stuffed animal, we divide the total cost by the number of stuffed animals:

Cost per stuffed animal = Total cost / Number of stuffed animals

Cost per stuffed animal = $321.50 / 125

Cost per stuffed animal = $2.572

The toy shop sells each stuffed animal for $7.

To find the markup, we need to calculate the difference between the selling price and the cost price, and then express that difference as a percentage of the cost price:

\(Markup = (Selling price - Cost price) / Cost price * 100%\)

Markup = ($7 - $2.572) / $2.572 x 100%

Markup = $4.428 / $2.572 x 100%

Markup = 1.719 x 100%

Markup = 171.9%

Therefore, the percent markup is 171.9%.

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PLSSSS!!!!! HELP!!!! ME!!!!! I !!!!! WILL!!!! MARK U!!!!!!!!!!!!

PLSSSS!!!!! HELP!!!! ME!!!!! I !!!!! WILL!!!! MARK U!!!!!!!!!!!!

Answers

Answer:

i want to see david not mark

Step-by-step explanation:

duck what is plant? Been wonder tht=at fir long tim. Seen mary sheelly at the frank book!! You seen? HMMMM???!?! Im tired of this instagram ad go away! Its find out!!! Me too!!!

Answer:

I'm pretty sure its 5...

What is the area of the rectangle with the given dimensions?
The dimensions of a rectangle are 2x - 5 and
3x + 3. Which expression represents the area
of the rectangle in simplest terms?

What is the area of the rectangle with the given dimensions?The dimensions of a rectangle are 2x - 5

Answers

Answer:

F

Step-by-step explanation:

The area is equal to length times width.

Use the foil method to multiply (2x-5)(3x+3).

Find the area of the parallelogram whose vertices are listed below. (-2, 0), (0, 3), (1, 3), (-1, 0).

Answers

The formula A = | ax (by - cy) + bx (cy - ay) + cx (ay - by) | / 2 is used to find the area of a parallelogram whose vertices are given. The vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0). The area of the parallelogram is 11/2 square units.

To find the area of a parallelogram whose vertices are given, we use the formula

A = | ax (by - cy) + bx (cy - ay) + cx (ay - by) | / 2 .

Here, ax and ay are the x and y coordinates of vertex A, bx and by are the x and y coordinates of vertex B, and cx and cy are the x and y coordinates of vertex C. Given the vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0).We will use the above formula to find the area of the parallelogram.

Area = |(-2(3)-0(1)+1(0)) + (0(0)-3(-1)+(-1)(-2))|/2

=|(-6+0+0)+ (0+3+2)|/2

=11/2 square units.

Hence, the area of the parallelogram whose vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0) is 11/2 square units.

Therefore, the answer is: The area of the parallelogram whose vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0) is 11/2 square units.

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A landscaper is constructing a rectangular garden with an area of 108 square feet. He draws the garden on paper and represents the length as and the width as (x-1) . Find the length and the width of the garden(x-4). Select all that apply
7 feet
8 feet
9 feet
12 feet
13feet

plssss help

Answers

The length and width of the garden is 12 feet and 9 feet respectively.

Given that, length of garden \(=(x-1)\)

Width of garden \(=(x-4)\)

Area of garden is 108 square feet.

      \(Area=length*width\\\\108=(x-1)*(x-4)\\\\x^{2} -5x+4=108\\\\x^{2} -5x-104=0\\\\x^{2} -13x+8x-104=0\\\\x(x-13)+8(x-13)=0\\\\(x-13)(x+8)=0\\\\x=13,x=-8\)

Since, side can not be negative.

So we will consider, \(x=13\)

Length\(=x-1=13-1=12feet\)

Width\(=(x-4)=13-4=9feet\)

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