Given:
The graph of two lines.
To find:
The slope of each line and check whether they are same or different.
Solution:
If a line passes through two points, then the slope of a line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the graph 1, it is clear that the line passes through the points (2,175) and (3,165). So, the slope of first line is:
[tex]m_1=\dfrac{175-165}{3-2}[/tex]
[tex]m_1=\dfrac{10}{1}[/tex]
[tex]m_1=10[/tex]
The slope of first line is 10.
From the graph 2, it is clear that the line passes through the points (1,175) and (2,165). So, the slope of first line is:
[tex]m_2=\dfrac{175-165}{2-1}[/tex]
[tex]m_2=\dfrac{10}{1}[/tex]
[tex]m_2=10[/tex]
The slope of second line is 10.
[tex]m_1=m_2[/tex]
Therefore, the slopes of both lines are same, i.e. 10.
An advertising company is designing a new logo that consists of a shaded triangle inside a parallelogram. What is the area, in square units, of parallelogram ABCD? Enter your answer in the box.
In the new logo, what fraction of the parallelogram is shaded.
a. The area of the parallelogram ABCD in this problem is given as follows: 24 units squared.
b. The fraction of the area of the parallelogram that is shaded is given as follows: 1/4. (option C).
How to obtain the area of a parallelogram?The area of a parallelogram is given by the multiplication of the length of the base by the height, as follows:
Area = base x height.
The base and the height for this problem are obtained counting the number of dots, hence:
Base: 4 units.Height: 6 units.Hence the area is given as follows:
Area = 4 x 6
Area = 24 units squared.
The shaded region is composed by a triangle with base 4 and height 3, hence:
Area shaded = 0.5 x 4 x 3 = 6 units squared.
(formula for the area of the triangle).
Meaning that the fraction is given as follows:
6/24 = 1/4.
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How many hours will it take to hike 15 miles
Answer:
1 hour and 15 minutes.
Step-by-step explanation:
Average Hiking Speed is generally between 1 MPH to 3 MPH depending on how much hill (vertical gain) is involved, amoung other factors. Based on the plan you entered above TrailsNH estimates your average hiking speed to be closer to 1.5 MPH, or 3h 23m of moving time for a 5 mile hike up 2000 vertical feet of elevation gain. Compare that with Naismith's Rule which says your average hiking moving time is around 2h 36m.
I calculate Your Estimated Hiking Time by taking Naismith's Rule and applying an adjustment to match your plan. The adjustment (currently calculated as +30%) uses a sliding scale to add or subtract the effort involved. Your plan is currently set as: pace = Normal, treadway = Rough, and pack weight = Regular.
Naismith's Rule estimates hiking time on reasonably easy ground based on 19½ minutes for every mile, plus 30 minutes for every 1,000 feet of ascent. For example: A 2 mile hike over a 500 foot hill, Naismith's Rule estimates will take 52 minutes. That is a pace of 26 minutes per mile, or an Average Hiking Speed of 2.3 miles per hour.
Book Time estimates hiking time in the mountains based on 30 minutes for every mile, plus 30 minutes for every 1,000 feet of ascent. This is the estimate commonly used in guide books. For example: A 2 mile hike over a 500 foot hill, Book Time estimates will take 1 hour and 15 minutes. That is a pace of 37 minutes per mile, or an Average Hiking Speed of 1.6 miles per hour.
9. As part of a class project, Areeb collected $126 in donations for a local
hospice. That amount was 7% of the total amount collected by the class.
How much money did the class collect in all?
Answer:
So you're given that 7% is $126, and you have to find 100%. In order to do this you could set up proportions.
1) 126/7=x/100
Next you can cross multiply and you'll get:
2) 12600=7x
Now divide each side by 7
3)12600/7=7x/7
And simplify
4)1800=x
Solution: $1800
Step-by-step explanation:
What is the domain of the function below?
A) x < 2
B) x ≤ 3
C) x ≥ 2
D) All Real Numbers
Answer:
I would say (option A)
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
We see that our x-values can be any number. Therefore, we have all real numbers as our domain:
→ A) x < 2.
Hope this helps!
Find the volume of the rectangular prism.
Answer:
67.5 cm^3
Step-by-step explanation:
To find a rectangular prism volume, you just multiply height, width, and length. So you would multiply 2.5 * 4.5* 6 = 67.5 cm^3.
Write three to five sentences explaining which levels of production provide Alonzo’s Cycling with the maximum profit
The data provided in the table implies that Alonzo's Cycling should produce five or six bikes if it wants to maximize its profits.
What is profit maximization?Profit maximization is a process that businesses go through to make sure the best levels of output and prices are realized in order to maximize their returns. The company modifies important variables like sale price, production costs, and output levels in order to achieve its profit objectives.
This is because the sixth bike is the point at which the marginal revenue matches the marginal cost. The company will make $90 in profit with the sale of its fifth or sixth bike each day. After that, the profit begins to fall with each sale.
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) Prompt the user to input an integer between 32 and 126, a float, a character, and a string, storing each into separate variables. Then, output those four values on a single line separated by a space. (Submit for 2 points).
Note: This zyLab outputs a newline after each user-input prompt. For convenience in the examples below, the user's input value is shown on the next line, but such values don't actually appear as output when the program runs.
The complete program is
intInput = int(input("Integer between 32 and 126: "))
floatInput = float(input("Float input: "))
charInput = input("Character input: ")[0]
strInput = input("String input: ")
print(intInput, floatInput, charInput, strInput)
How to write the programFrom the question, we have the following parameters:
Accept inputs of integer, float, character and stringPrint the inputs on a line separated by spaceThe program that does this is:
intInput = int(input("Integer between 32 and 126: "))
floatInput = float(input("Float input: "))
charInput = input("Character input: ")[0]
strInput = input("String input: ")
print(intInput, floatInput, charInput, strInput)
See attachment for complete program and the output of the program execution
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The price of an item has risen to $387 today. Yesterday it was $180. Find the percentage increase
Answer:
115%
Step-by-step explanation:
Given that,
The initial price of an item = $180
The final price of an item = $387
We need to find the percentage increase. It can be calculated as follows :
[tex]\%=\dfrac{\text{Change in price}}{\text{initial price}}\times 100[/tex]
Put all the values,
[tex]\%=\dfrac{387-180}{180}\times 100\\\\=115\%[/tex]
So, the required percentage increase is 115%.
the graph of a function f is the collection of ____________ or (x,f(x)) such that x is in the domain of f
In a survey on favorite parts of college, students were asked to choose their favorite professor (from a list of four popular professors), favorite meal in the dining hall (from a list of five popular meals), and favorite weekend activity (from a list of six popular activities). Calculate the number of different ways the survey can be filled out if students select one from each category.
Answer:
The survey can be filled out in 120 different ways.
Step-by-step explanation:
The possible options are:
One professor from a set of four.
One meal from a set of five.
One weekend activity from a set of six.
Calculate the number of different ways the survey can be filled out if students select one from each category.
The multiplication of the number of possible outcomes for each trial. So
4*5*6 = 20*6 = 120
The survey can be filled out in 120 different ways.
Suppose you are interested in using regression analysis to estimate an NBA player's salary using the following independent variables: the player was traded in the last 5 years, average points per game, the team had greater than 45 wins in the previous season, the team made the playoffs in the previous season, career number of games started, and the player's nationality. Which of the following independent variables are indicator (dummy) variables?
a. the player was traded in the last 5 years
b. years played in the NBA
c. the players nationality
d. the player has won an NBA championship
e. player's age
f. the player is on the All-Star team
g. one of these
Answer:
a. the player was traded in the last 5 years
For the NBA player's salary, the indicator (dummy) variables are:
The player was traded ... 5 years.The player ... NBA championship.The player ... All-Star team.What are indicator (dummy) variables?These are variables that have one of two answers such as yes and no or positive and negative. They are represented as 0 or 1 for the most part.
A player being traded in the last 5 years can either be a yes or no response just like if a player has won an NBA championship or if they are on an All-Star team.
In conclusion, options A, B, and F are correct.
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PLEASE HELP! 2 Images below! Have a great day!
Answer:
b
Step-by-step explanation:
so 0.5x is a slope of 1/2, which is rise 1 | run 2, and b matches that!
Researchers at the National Cancer Institute released the results of a study that investigated the effect of weed-killing herbicides on house pets. The randomly sampled 400 dogs from homes where an herbicide was used on a regular basis, diagnosing lymphoma in 230 of them. Of 200 dogs randomly sampled from homes where no herbicides were used, only 25 were found to have lymphoma. For this problem, let p1 be the population proportion of dogs that get lymphoma from homes where herbicides are used and p2 be the population proportion of dogs that get lymphoma from homes where herbicides are not used. Researchers are interested in learning about the difference in the proportion of cancer diagnoses between the two groups. What is the 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups
Answer:
The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
The randomly sampled 400 dogs from homes where an herbicide was used on a regular basis, diagnosing lymphoma in 230 of them.
This means that:
[tex]p_h = \frac{230}{400} = 0.575, s_h = \sqrt{\frac{0.575*0.425}{400}} = 0.0247[/tex]
Of 200 dogs randomly sampled from homes where no herbicides were used, only 25 were found to have lymphoma.
This means that:
[tex]p_n = \frac{25}{200} = 0.125, s_n = \sqrt{\frac{0.125*0.875}{200}} = 0.0234[/tex]
Distribution of the difference:
[tex]p = p_h - p_n = 0.575 - 0.125 = 0.45[/tex]
[tex]s = \sqrt{s_h^2+s_n^2} = \sqrt{0.0247^2 + 0.0234^2} = 0.034[/tex]
Confidence interval:
The confidence interval is:
[tex]p \pm zs[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower bound is [tex]0.45 - 1.96(0.034) = 0.3834[/tex]
The upper bound is [tex]0.45 + 1.96(0.034) = 0.5166[/tex]
The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).
Helpppppppp please!!!!!!!!!!!
Answer:
a. (4, 13/6)
b. (4, -5/6)
c. (4, 5/6)
Step-by-step explanation:
sorry if it is not right.
find the distance round to the nearest tenth
Answer:
65 units
Step-by-step explanation:
Put these fractions into ascending order (smallest to largest): 8/15 2/15 9/15 6/15 12/15
Answer:
2/15 6/15 8/15 9/15 12/15
Step-by-step explanation:
Answer: 2/15, 6/15, 8/15, 9/15, 12/15.
Step-by-step explanation:
Just treat the denominators like they are not there for now, and treat the numerators like they are whole numbers and then rearrange:
8, 2, 9, 6, 12
Now rearrange from smallest to largest:
2, 6, 8, 9, 12
Now just put the denominators back in under the arranged numbers:
2/15, 6/15, 8/15, 9/15, 12/15
Words and their definitions:
Numerator: Top part of the fraction
Denominator: Bottom part of the fraction
A bike shop purchased 12 mountain bikes wholesale for $ 189 . They want to make a 25 % on each bike. What is the sale price of the mountain bike after markup?
The cost of the Bike wholesale after the markup is $236.25
How to determine the cost after the markupFrom the question, we have the following parameters that can be used in our computation:
Bike wholesale = $189
Markup = 25%
The cost of the bike wholesale after the markup is then calculated as
Cost = Bike wholesale * (1 + markup)
Substitute the known values in the above equation, so, we have the following representation
Cost = 189 * (1 + 25%)
Evaluate the products
Cost = 236.25
Hence, the cost is $236.25
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Discussion Topic
How did the United States' entry into World War I change the culture and
international political policies of the country?
The United States' entry into World War I led to a rise in nationalism and patriotism, as well as a shift towards a more interventionist foreign policy. This had a lasting impact on the culture and international political policies of the country.
Explanation:The United States' entry into World War I marked a significant shift in the culture of the country. Prior to the war, the United States had maintained a policy of isolationism, with a focus on avoiding involvement in foreign conflicts. However, the country's entry into the war marked a shift towards a more interventionist foreign policy, as the United States began to take a more active role in international affairs.
HOPE IT HELPS!The formula to find the area of a triangle is A=12bhA=12bh . What is the area of a triangle that has a base of 5 and a height of 4?
Jen has some buttons. She gets
23 more buttons from her mom.
Now she has 65 buttons.
How many buttons did
Jen have to begin with?
Answer:
x + 23 = 65
x = 42
She had 42 buttons to begin with.
When dividing a polynomial by a binomial, what does the remainder tell you?
Answer:
the remainder is not just added to the quotient. it becomes the numerator of a fraction that is added to the quotient. the correct answer is x-3- the process works for dividing any polynomial
Malcolm is driving 1,273 miles from Wichita to Charleston for a family reunion. He drives 418 miles the first
day and 384 miles the second day. Round each distance to the nearest ten and estimate about how many miles
Malcolm has left to drive.
A.480 miles
B.470 miles
C.500 miles
D.400 miles
9514 1404 393
Answer:
B. 470 miles
Step-by-step explanation:
Using numbers rounded to the nearest 10, the remaining distance is ...
1270 -420 -380 = 470 . . . . miles
Which of the following sets of numbers could not represent the three sides of a triangles?
9,23,34
10,24,31
8,14,21
5,14,16
Answer:
pretty sure it's B. Let me know if im wrong
Step-by-step explanation:
PLEASE HURRY
In triangle LMN, m∠L = (4c + 53)°. If the exterior angle to ∠L measures 87°, determine the value of c.
c = 87
c = 8.5
c = 35
c = 10
Therefore , the solution of the given problem of trigonometry comes out to be c =6.
Explain trigonometry.Trigonometry is a discipline of mathematics that examines relationships between triangles' angles and sides. Trigonometry is used frequently in geometry because every straight-sided form may be broken down into a group of triangles. Trigonometry and other areas of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series, have a staggering amount of interrelationships.
Here,
Given :
In triangle LMN,
m∠L = (4c + 53)°.
∠L = 87°
To find the value of c:
87° = (4c + 53)°
=> 4c = 87-53
=> 4c = 24
=> c =6
Therefore , the solution of the given problem of trigonometry comes out to be c =6.
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Explain the process to solve the equation. Use proper
vocabulary in your explanation.
1/4x=-5/8
Answer:
x=-5/2
Step-by-step explanation:
First you need to make 1/4x into x, to do that you multiply 4 on both side.
1/4x*4=-5/8*4
After multiplying 4 on both side you get:
x=-5/2
Factorize:3a-6b+ax-2bx.
Answer:
(3 + x) ( a -2b)
Step-by-step explanation:
3a - 6b + ax - 2bx
3a + ax - 6b - 2bx
a(3 + x) - 2b (3 +x)
(3 + x) (a - 2b)
Answer:
(a-2b) (3+x)
Step-by-step explanation:
(3a-6b)+(ax-2bx)
(3a+ax)-(6b-2bx)
a(3+x)-2b(3+x)
(a-2b) (3+x)
Thanks
Hope it helps
Please answer I need this AS SOON AS POSSIBLE A
Answer:
When using desmos I got y=x^{2}-4x+3 (the 2 is an exponent btw) I inserted a picture. I hope this helped
Step-by-step explanation:
help me please i’ll do anything
Answer:
[tex] \sqrt{145} [/tex]
Step-by-step explanation:
I think you've been tricked 2 root 37 = root 148
Pls help; tysmmmmmmn <3
Answer:
64
Step-by-step explanation:
ˣ= 8
Since x² it means you have to multiply
8 two times
8 x 8= 64
Express the ratio below in its simplest form.
2.5: 3.5
Answer:
Ratio = 5:7
Step-by-step explanation:
2.5 :3.5
To simplify a ratio, we must find a common factor that easily divides them.
Both of them have a common factor of 0.5, so we divide each of them by 5
2.5/0.5 = 5
3.5/0.5 = 7
So, the final ratio we end up with is equal to 5:7.
I Hope this helps!