Walter is planning a trip to morocco. he is trying to decide which cities he would like to visit while he is there. the table below shows some possible cities walter could visit, along with the amount of money he expects to spend on food, lodging, travel, and similar expenses for each city. all prices are given in moroccan dirham (mad). city cost (mad) tangier 610 casablanca 466 agadir 950 rabat 927 oujda 683 fes 478 marrakech 965 kenitra 778 walter’s original itinerary included trips to marrakech, fes, kenitra, and oujda, but because he only has a budget of mad 2,500, he must alter his plans to be more affordable. which of the following itinerary changes will allow walter to stay within his budget? (consider each option individually, rather than as a group.) i. replace kenitra with tangier and oujda with casablanca. ii. drop fes. iii. replace marrakech with casablanca. a. i and ii b. ii and iii c. iii only d. none of these will put walter under budget.

Answers

Answer 1

Walter can stay within his budget by dropping Fes (option ii).

Walter's original itinerary includes trips to Marrakech, Fes, Kenitra, and Oujda, which will cost him a total of 478 + 478 + 778 + 683 = MAD 2,417. This exceeds his budget of MAD 2,500.

Option i suggests replacing Kenitra with Tangier and Oujda with Casablanca, which will cost a total of 610 + 466 + 610 + 466 = MAD 2,152. However, this still exceeds Walter's budget.

Option iii suggests replacing Marrakech with Casablanca, which will cost a total of 965 + 466 + 778 + 683 = MAD 2,892, which is over Walter's budget.

Therefore, the only option that allows Walter to stay within his budget is to drop Fes from his itinerary, which will cost a total of 478 + 778 + 683 = MAD 1,939. This is well within his budget of MAD 2,500. So optio 2 is correct.

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Related Questions

A movie theater showed an old, classic movie on Saturday and Sunday. Tickets cost c dollars for children under the age of 13 and d dollars for others.
On Saturday they sold 84 children's tickets and 157 tickets for others and collected $2,640 from ticket sales. On Sunday they sold 67 children's tickets and 134 other tickets and collected $2,211 from ticket sales. This can be represented by this system of equations
84c + 157d = 2,640
67c + 134d = 2,211
A. What could the equation 17c + 23d = 429 mean in this situation?

B. The solution to the original system is the pair c = 9 and d = 12. Explain why it makes sense that this
pair of values is also a solution to the equation 17c + 23d = 429.

Answers

The equation in the given question is answered in main body.

What is equation?

In arithmetic , an equation may be a formula that expresses the equality of 2 expressions, by connecting them with the sign =

Main body:

according to question :

A) equation for Saturday sale = 84c +157d = 2640

equation for Sunday sale = 67c +134d = 2211

when subtracted we will get, 17c +23d = 429

This equation shows the difference in sales of these 2 days in terms of ticket sold and collection.

B) According to second part solution are c= 9 , d= 12.

equation given : 17c+23d = 429

now substituting value of c and d.

⇒17(9) + 23(12)

⇒153+276

⇒429 = R.H.S

Hence equation satisfies.

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The value of a car depreciates at a rate of 14.3% per year.
a. Write an equation that will model the value of your car, purchased at $19,500.
b. Find the value of your car after 5 years.​

Answers

The value of the car after 5 years would be approximately $9,612.67. This represents the depreciated value of the car after 5 years based on the given depreciation rate of 14.3% per year.

a. To model the value of the car over time, we can use the equation for exponential decay. The equation is given by:

V = P(1 - r)^t

Where:

V = Value of the car after t years

P = Initial purchase price of the car

r = Depreciation rate per year (expressed as a decimal)

t = Number of years

In this case, the car depreciates at a rate of 14.3% per year, which is equivalent to a depreciation rate of 0.143. The initial purchase price of the car is $19,500. Substituting these values into the equation, we get:

V = $19,500(1 - 0.143)^t

b. To find the value of the car after 5 years, we can substitute t = 5 into the equation and evaluate:

V = $19,500(1 - 0.143)^5

= $19,500(0.857)^5

≈ $9,612.67.

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I need answers for this question

I need answers for this question

Answers

The inequality 3 ≤ x - 2 simplifies to x ≥ 5. This means x can take any value greater than or equal to 5. Therefore, option (E) with a number line from positive 5 to positive 10 is correct.

Given: 3 \(\leq\) x - 2

We need to work out which number line below shows the values that x can take. In order to solve the inequality, we will add 2 to both sides. 3+2 \(\leq\) x - 2+2 5 \(\leq\) x

Now the inequality is in form x \(\geq\) 5. This means that x can take any value greater than or equal to 5. So, the number line going from positive 5 to positive 10 shows the values that x can take.

Therefore, the correct option is (E) A number line going from positive 5 to positive 10.  We added 2 to both sides of the given inequality, which gives us 5 \(\leq\) x. It shows that x can take any value greater than or equal to 5.

Hence, option E is correct.

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Solve the inequality of 5-2t>-4

Answers

Answer:

Step-by-step explanation: aaaaaaaaaaaaaaaa

Answer:

Step-by-step explanation:

5 - 2t > -4

- 5       - 5

-2t > -9

___  __

 2      2

t = -4.5

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100 POINTS NEED HELP ASSAP

A student is using a weak computer to design a logo. If the weak computer is the only constraint, should the student use the online version of
downloaded version of a graphic design software? (1 point)

O The downloaded version, because the online version usually requires better equipment than the downloaded version.
O The online version, because the downloaded version usually requires better equipment than the online version.
O The online version, because the downloaded version may have limited bandwidth that limits how quickly the designer can work.
O The downloaded version, because the online version may have limited bandwidth that limits how quickly the designer can work

Answers

The online version, because the downloaded version usually requires better equipment than the online version.

The online version of the graphic design software is likely the better option for the student using a weak computer. This is because the online version typically runs on the software provider's servers, rather than on the user's computer.

Therefore, the online version does not require as much processing power or memory from the user's computer, making it more accessible to those with weaker or older machines.

Additionally, the online version may also have the advantage of automatic updates, so the student can always have the latest version of the software without needing to manually download and install updates.

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65 points
1. Find the pattern and then write a rule and an
equation that represents the pattern. Then
complete the table,
X= 0 2 10 16 20
Y= 0 1 5 8 10

Answers

Rule: Y is equal to the square root of X.

Equation: Y = √X

What is algebraic expression?

An algebraic expression is when we use b and words in solving a particular mathematical question.

In this table, the relationship between the values of X and Y appears to be Y = √X.

This can be expressed as a mathematical rule and equation as follows:

Rule: Y is equal to the square root of X.

Equation: Y = √X

We can use this rule to complete the table as following figure.

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65 points1. Find the pattern and then write a rule and anequation that represents the pattern. Thencomplete

Evaluate the expression for s = -1.

Answers

Answer:

the expression for s = -1.

is s+1=0

5. The Survey of Study Habits and Attitudes (SSHA) is a psychological test, administered to students, that measures attitude towards school. Scores range from 0 to 200. The mean score for U.S. college students is about 117, and the standard deviation is about 23. A teacher who suspects that older students have better attitudes toward school gives SSHA to 40 students who are at least 30 years of age. Their mean score is x¯ = 133.8.
(a) Assuming that σ = 23 for the population of older students, carry out a test of H0 : µ = 117 Ha : µ > 117 Give the Z test statistic and its P-value.
(b) What do you conclude about older students’ attitudes toward school?
(c) Your test in the previous parts requires assumptions in addition to the assumption that the value of σ is known. What are they?

Answers

The Z-test statistic is 2.61 and the P-value is 0.0046. Based on the results, it can be inferred that older students exhibit more positive attitudes towards school compared to the average U.S. college student. To conduct the test, certain assumptions are necessary in addition to assuming the known value of σ: the sample is randomly selected from the population, and the population follows a normal distribution.

(a) The null hypothesis is H0: µ = 117 and the alternative hypothesis is Ha: µ > 117, and we will test the null hypothesis using the Z test statistic.

The test statistic Z is calculated as:

Z = (x¯ - µ) / (σ / sqrt(n))

where x¯ is the sample mean, µ is the population mean, σ is the population standard deviation, and n is the sample size.

Substituting the values we get, Z = (133.8 - 117) / (23 / sqrt(40))Z = 2.61The P-value corresponding to Z = 2.61 is 0.0046 using a Z table.

(b) The P-value of the test is 0.0046, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that older students have better attitudes toward school than the average U.S. college student.

(c) The assumptions required for the test in addition to the assumption that the value of σ is known are:

The sample is a random sample from the population.

The population is normally distributed, or the sample size is large enough (n > 30) for the Central Limit Theorem to apply.

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14. andrea and zach are both waiting for an appointment with a guidance counselor. when they arrived, each received a card from the secretary, telling the hour and minute of his or her arrival. two minutes ago, andrea had been waiting exactly as many minutes as zach. three minutes from now, andrea will have been waiting exactly as long as zach. if the time is now 11:30, at what time did andrea arrive?

Answers

Andrea arrived 5 minutes past 11:00 am, or at 11:05 am. Adding the 8 minutes indicated on her card, we get 11:13 am as the time Andrea arrived.

Let x be the number of minutes past 11:00 am that Andrea arrived. Then, Zach arrived (x + 15) minutes past 11:00 am. Two minutes ago (i.e., at 11:28 am), Andrea had been waiting for (28 - x) minutes, and Zach had been waiting for (13 + x) minutes. Three minutes from now (i.e., at 11:33 am), Andrea will have been waiting for (33 - x) minutes, and Zach will have been waiting for (18 + x) minutes. Since Andrea and Zach have waited for the same amount of time, we can set up the equation:

28 - x = 18 + x

Solving for x, we get:

2x = 10

x = 5

Therefore, Andrea arrived 5 minutes past 11:00 am, or at 11:05 am. Adding the 8 minutes indicated on her card, we get 11:13 am as the time Andrea arrived.

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Question 16 of 17
Which of the following best describes the graph below?

A. Independent variable
0 o a
B. A relation that is a function
C. A relation that is not a function
D. Dependent variable

Question 16 of 17Which of the following best describes the graph below?A. Independent variable0 o aB.

Answers

The answer is B. It is a relation and also a function at the same time because it satisfies a specific domain

5x - 11 < 3x - 11
What is the value of X?

Answers

the answer to this is x=0

PLzzzzzzz help with all these questions
This coordinate plane represents the entire botanical garden where Vincent works. The rectangular figure on the coordinate plane is the original position of the rose garden. Vincent wants to slide the rose garden two yards east and four yards south. In this activity, you’ll help Vincent find the coordinates of the new rose garden.

PLzzzzzzz help with all these questionsThis coordinate plane represents the entire botanical garden where
PLzzzzzzz help with all these questionsThis coordinate plane represents the entire botanical garden where
PLzzzzzzz help with all these questionsThis coordinate plane represents the entire botanical garden where
PLzzzzzzz help with all these questionsThis coordinate plane represents the entire botanical garden where
PLzzzzzzz help with all these questionsThis coordinate plane represents the entire botanical garden where

Answers

Answer:

Step-by-step explanation:

js it not letting me open the other tabs and that your question doesn't make sense

Answer: A=(5,2) B=(5,-1) C=(6,-1) D=(6,2)

Step-by-step explanation: part D: The x-coordinates of the translated figure are 2 more than the original x-coordinates. The y-coordinates of the translated figure are 4 less than the original y-coordinates.

Part E: A translation of two yards east involves moving 2 units in the positive x-direction. Given any initial x-coordinate, x, the algebraic expression that represents the new x-coordinate after the translation is x + 2.

Part F: A translation of four yards south involves moving 4 units in the negative y-direction. Given any initial y-coordinate, y, the algebraic expression that represents the y-coordinate after translation is y + (-4).

Part G: Combining the expressions from parts E and F, for any given initial point (x, y), the coordinates of the new point after a translation of two yards east and four yards south are (x + 2, y + (-4)).

Tell what each of the residual plots to the right indicates about the appropriateness of the linear model that was fit to the data. (a). Choose the best answer for residuals plot A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases. B. The fanned pattern indicates that the linear model is not appropriate. C. The model's predicting power increases as the values of the explanatory variable increases. The scattered residuals plot indicates an appropriate linear model. (b). Choose the best answer for residuals plot A. The scattered residuals plot indicates an appropriate linear model. B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear. C. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.

Answers

Residual Plot A indicates that the linear model is not appropriate because the fanned pattern shows that the model's predicting power decreases as the values of the explanatory variable increases. Residual Plot B indicates that the linear model is appropriate because the scattered residuals suggest a linear relationship.

Residual Plot A shows a fanned pattern which indicates that the linear model is not appropriate. This means that the model's predicting power decreases as the values of the explanatory variable increases. This suggests that the relationship between the dependent and independent variables is not linear and a different model may be necessary. Residual Plot B, on the other hand, shows a scattered pattern which suggests that the linear model is appropriate. The scattered pattern indicates that the data points are randomly distributed, which is a sign of a linear relationship. This indicates that the linear model is an appropriate fit for the data.

the complete question is :

Tell what each of the residual plots to the right indicates about the appropriateness of the linear model that was fit to the data. (a). Choose the best answer for residuals plot A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases. B. The fanned pattern indicates that the linear model is not appropriate. C. The model's predicting power increases as the values of the explanatory variable increases. The scattered residuals plot indicates an appropriate linear model. (b). Choose the best answer for residuals plot A. The scattered residuals plot indicates an appropriate linear model. B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear. C. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.

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a pair of fair dice are rolled together, till a sum of either 5 or 7 is obtained. the probability that the sum 5 happens before sum 7 is

Answers

The probability that the sum 5 happens before sum 7 is 2/5.
To solve this problem, we need to find the probability of getting a sum of 5 before getting a sum of 7.
Let's consider the possible outcomes that lead to a sum of 5:
- (1, 4)
- (2, 3)
- (3, 2)
- (4, 1)
And the possible outcomes that lead to a sum of 7:
- (1, 6)
- (2, 5)
- (3, 4)
- (4, 3)
- (5, 2)
- (6, 1)
Out of these outcomes, we can see that there are 4 possible ways to get a sum of 5 and 6 possible ways to get a sum of 7.
Since the probability of any specific outcome is the same for each roll, we can conclude that the probability of getting a sum of 5 before getting a sum of 7 is 4/10, or 2/5.
Therefore, the probability that the sum 5 happens before sum 7 is 2/5.

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For this Data exercise you need to do the following (1) Go to the internet and gather data that has two variables that you believe are related to each other. One should be the dependent variable that you are trying to explain and the other should be the independent variable that does the explaining. You need to have at least 50 observations but more observations are better (i.e. don't truncate a longer data set to only have 50 observations). Your project should not be the same as anyone else's in the class (if you work by yourself this should not be an issue). You should also not use a data set that has been put together for you from a textbook.

Answers

According to the question Gather unique dataset (50+ observations) with dependent and independent variables, analyze using statistical software to explore relationships and perform hypothesis testing.

To complete this data exercise, you should begin by selecting a topic of interest that involves two variables with a potential relationship. It is crucial to choose a unique project that differs from others in your class. Avoid using datasets provided by textbooks and instead search for reliable sources on the internet.

Look for government databases, research publications, surveys, or publicly available datasets. Ensure your dataset contains at least 50 observations, although more would be preferable. Once you have obtained the data, assess its quality, clean any inconsistencies, and organize it for analysis.

Utilize statistical software or programming languages like Python or R to perform exploratory data analysis, investigate correlations, conduct hypothesis testing, and quantify the relationship between the dependent and independent variables.

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elliot uses 3/8 pound of clay to make a charm for a necklace. how much clay does he use to make 4 charms?

PLEASE HELP

Answers

Answer:

3/2 pound of clay is used

Answer:

1.5 lbs. of clay

Step-by-step explanation:

3/8 x 4 = 1.5

Which unit would you use to measure the height of a wall?
A. liters
B. cups
C. feet
D. ounces

Answers

Answer:

feet

Step-by-step explanation:

The others measure liquid or weight.

Answer:

feet

Step-by-step explanation:

Both inches and feet could be used, but inches are so small that it would take much longer to measure the wall than it should. Feet are the appropriate unit to measure a wall.

If RS is an altitude of ARPQ, m/RSP = (5x+40)°, and PR = x - 1, find PR.
A. 6
B. 8
C. 9
D. 10
Please select the best answer from the choices provided
OA
OB

Answers

The length of segment PR is given by the following option:

How to obtain the segment angle?

The angle measure of the altitude is given as follows:

m < RSP = 5x + 40º.

The altitude of the triangle is always going to form a right angle, with measure of 90º, hence the value of x is obtained as follows:

5x + 40 = 90

5x = 50

x = 50/5

x = 10.

The length of segment PR is given as follows:

PR = x - 1.

As the value of x is of x = 10, the numeric length of the segment is given as follows:

PR = 10 - 1

PR = 9.

Meaning that the correct option is given by option C.

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Classify the triangle by sides and angles.

Classify the triangle by sides and angles.

Answers

Answer:

c) right isosceles triangle

Step-by-step explanation:

two equal sides and a 90 degree angle make a right isosceles triangle

The Transportation Security Administration (TSA) is responsible for airport security. On some flights, TSA officers randomly select passengers for an extra security check before boarding. One such flight has 76 passengers (12 in first class and 64 in coach). TSA officers selected an SRS of 10 passengers for screening. Let p-hat be the proportion of first class passengers in this sample. So, assuming that you are checking for the probability of choosing a first class passenger out of all passengers on the flight. Is the 10% condition met in this case? Justify your answer. (POS 447#31)


- Yes, 10 passengers out of 76 is less than 10% of the population of the flight.

- yes, 10 passengers out of all passengers on all flights is less than 10% of the population

- No, 10 passengers is the population being studied and is not less than 10% of the 10 total

- No, 10 passengers out of 76 is more than 10% of the population of the flight.

Answers

The answer is -No, 10 passengers out of 76 is more than 10% of the population of the flight.

Use Log(b)2 = 0.401, log(b)3 =0.503, and log(b)5 = 0.842 to approximate the value of the given logarithm to decimal places log(b)50 . Assume that b>0 and \(b\neq 1\)

Use Log(b)2 = 0.401, log(b)3 =0.503, and log(b)5 = 0.842 to approximate the value of the given logarithm

Answers

Answer:

≈ 2.085

-------------------------

Given\(log_b2 = 0.401, \ log_b3=0.503, \ log_b5=0.842\)

Work out the value of  \(log_b50\)\(log_b50=\)\(log_b(2*25)=\)\(log_b(2*5^2)=\)\(log_b2+log_b5^2=\)\(log_b2+2log_b5=\)\(0.401 + 2*(0.842)=\)\(2.085\)

alexa started randomly playing a movie and would not stop, despite my repeated orders. what's going on here?

Answers

It sounds like you may be experiencing a bug with your Alexa device. This is likely due to a software update or miscommunication between the device and the server.

To resolve this issue, you may need to restart your device by unplugging it from the power source and plugging it back in. You can also try clearing the cache of your device. Additionally, you may need to update the software of your device by visiting the Amazon website and downloading the most recent version of the software. If the issue persists, you may need to contact Amazon customer service for further assistance.

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What solution to the system? Write the x-value and the y-value
10x+7y=1
-5x-7y=24

Answers

Answer:

y = - 7 and x = 5

Step-by-step explanation:

10x + 7y - 5x - 7y = 1 + 24

5x = 25

5x ÷ 5 = 25 ÷ 5

x = 5

- 5(5) - 7y = 24

- 25 - 7y = 24

- 25 + 25 - 7y = 24 + 25

- 7y = 49

- 7y ÷ - 7 = 49 ÷ - 7

y = - 7

\(\frac{3+4I}{1+I}\)

Answers

The result of the expression (3+4i) / (1+i) is (7/2) - (1/2)i

The expression is  the complex numbers

(3+4i) / (1+i)

The complex number is the combination of real number and the imaginary number. The imaginary number is represented by adding i with the number

Multiply the expression with (1-i) / (1-i)

Then the expression will be

(3+4i) / (1+i) × (1-i) / (1-i)

= (3+4i) × (1-i) / (1+i) × (1-i)

Expand the terms by multiply the terms

= (3-3i+4i+4 ) / 1+1

= (7-i) / 2

Split the terms

= (7/2) - (1/2)i

Hence, the result of the expression (3+4i) / (1+i) is (7/2) - (1/2)i

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In classification analysis, we are determining the probability of an observation ________.

Answers

In classification analysis, we are determining the probability of an observation belonging to a specific class.

Classification analysis is a machine learning technique used to predict the class or category to which an observation belongs. The goal is to assign a probability to each possible class, indicating the likelihood of the observation belonging to that class. This is typically done by training a classification model on a labeled dataset, where the classes are known for a set of observations. The model learns patterns and relationships from the training data and then uses that knowledge to predict the class of new, unseen observations. The predicted probabilities can be used to make informed decisions, such as determining the most likely class for a given observation or setting a threshold for making binary decisions.

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the width of a rectangle is 9 in shirter than its length the area of the rectangle is 252in^2 what is the length of the rectangle

Answers

Answer:

l=28in

Step-by-step explanation:

area of rectangle=252in²

l*b=252

l*9=252

l=252/9

l=28in

the time required to cook a pizza at a neighborhood pizza joint is normally distributed with a mean of 12 minutes and a standard deviation of 2 minutes. find the time for each event. (round your answers to 2 decimal places.)

Answers

To find the time for each event in cooking a pizza at a neighborhood pizza joint, where the cooking time is normally distributed with a mean of 12 minutes and a standard deviation of 2 minutes, we can calculate the probabilities associated with specific time intervals using the normal distribution.

First, let's consider the time it takes for a pizza to cook within a certain range. For example, to find the probability that a pizza cooks in less than 10 minutes, we can use the cumulative distribution function (CDF) of the normal distribution. By calculating P(X < 10) where X represents the cooking time, we can determine the probability. Similarly, we can calculate the probability for a pizza to cook within a specific range, such as between 10 and 15 minutes, by finding P(10 < X < 15).

To find the time for a specific event, such as the cooking time at which only 10% of the pizzas take longer, we can use the inverse CDF (also known as the quantile function or percent-point function). By calculating the quantile function for a probability of 0.10, we can determine the corresponding cooking time.

In summary, to find the time for each event in cooking a pizza at the neighborhood pizza joint, we can use the normal distribution with a mean of 12 minutes and a standard deviation of 2 minutes. By utilizing the CDF, we can calculate the probabilities associated with specific time intervals, and by utilizing the inverse CDF, we can find the cooking time for specific probabilities or percentiles.

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What is the perimeter of rhombus lmno? 20 units 24 units 40 units 48 units

Answers

The perimeter of the rhombus LMNO is 48  units

In the rhombus LMNO,

The length of the side LM = The length of the side MN = The length of the side NO = The length of the side ON

Then,

The length of the side LM = 3x - 3

The length of the side MN = x + 7

Both are equal, then the equation will be

3x - 3 = x + 7

Group the like terms

3x - x = 7 + 3

2x = 10

x = 10 /2

x = 5

Substitute the value  in second equation

x + 7 = 5 + 7

= 12 units

The perimeter of the LMNO = 4 × 12

= 48 units

Hence, the perimeter of the rhombus LMNO is 48  units

The complete question is

What is the perimeter of rhombus LMNO ? A) 20 units B) 24 units C) 40 units D) 48 units

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What is the perimeter of rhombus lmno? 20 units 24 units 40 units 48 units

22
Select the correct answer.
Consider the graph of the function f(z)= 10⁰
-5 -4 -3 -2
F
5
4
3-
2-
-2-
-3-
T
3 4
What is the range of function gif g (z)= -2 f(z) + 1?
O A. (0,00)
OB.
(-00, 2)
O C.
(-00, 1)
OD. (-2,00)

22Select the correct answer.Consider the graph of the function f(z)= 10-5 -4 -3 -2F543-2--2--3-T3 4What

Answers

The range of function g would be c. (-∞, 1).

The requried range of the function is range = {y | y ≤ 1} or in interval notation, this can be written as range = (-∞, 1]. Option C is correct.

What is the range?

The range is the set of values that come out to an outcome for a certain mathematical operation.

Here,

First find the function g(x),
So,
g(x) = -2(10ˣ) + 1


To calculate the range of the function g(x) = -2(10ˣ) + 1, we need to determine the set of all possible output values that the function can produce.

Notice that the function f(x) is a linear function of the form y = mx + b, where m = -2 and b = 1. Since the exponent function, 10ˣ is always positive, the value of -2(10ˣ) is always negative, and adding 1 to a negative number results in a range of all real numbers less than or equal to 1.

Therefore, the range of the function is range = {y | y ≤ 1} or in interval notation, this can be written as range = (-∞, 1]

Learn more about the range here: https://brainly.com/question/12239390

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Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why?

A

P will be closer to A because it

distance from A to B.

P will be closer to A because it will

the distance from A to B.

O P will be closer to B because it will be

the distance from B to A.

P will be closer to B because it will be

the distance from B to A.

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Answers

Answer:

A.

Step-by-step explanation:

Given that point P partitions a directed line segment from A to B into the ratio 3:4, we are to determine how close P is to either A or B.

To do this, we take an example.

Let the length of line segment AB be 14 Units.

Since P divides AB in the ratio 3:4

Length of AP\(=\frac{3}{7}X14=6 \:units\)Length of PB\(=\frac{4}{7}X14=8 \:units\)

Therefore, from the above, we can conclude that P will be closer to A as its distance from A is shorter than its distance from B.

The correct option is A.

Answer:

Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why?

A number line goes from point A to point B. A line is drawn from point A to point B.

Right Answer  A.)   P will be closer to A because it will be Three-sevenths the distance from A to B.  

Wrong Answer  B.)   P will be closer to A because it will be Four-sevenths the distance from A to B.

Wrong Answer C.)    P will be closer to B because it will be Three-sevenths the distance from B to A.

Wrong Answer D.)   P will be closer to B because it will be Four-sevenths the distance from B to A.

Step-by-step explanation:

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