The contrapositive of the conditional statement is D. If the graph of two variables is not a linear function, then the two variables are not directly proportional.
What are contrapositives ?"In the event that the graph of two variables fails to exhibit linearity, it can be inferred that the two variables are not directly proportional.
This contrapositive statement provides an alternative perspective on the relationship between variables and the nature of their corresponding graphs.
By examining the contrapositive, we employ an analytical approach that explores the logical implications arising from the negation of the original conditional statement. Consequently, if the graph of two variables deviates from the linear pattern, it leads us to the logical conclusion that the variables themselves are not directly proportional.
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which number line represents the solution to the inequality
A rectangular solid has width w, a length of 7 more than the width, and a height that is equivalent to 15 decreased by 3 times the width. Express the volume in terms of the width, w. Then find the maximum volume to the nearest whole number cubic unit and explain how you solved the problem
Answer:
njgrjn djgb E THE ANSWER IS 3
Step-by-step explanation:
jbuyf6ctvyhbjnkmljinhubygvtb njmkbbhjcghxfgvjctguhvjhbjbhbyguyc
Check all that apply to determine the following conversion.
4 km = ? mm
•Move the decimal place over 6 until to the right
• Move the decimal place over 6 units to the left
•Divide 4 km by 1’000’000 to calculate mm
• Multiply 4km by 1’000’000 to calculate mm
• Add 1’000’000 to calculate mm
• Move the decimal place 6 units left, then 2 units to the right
Answer:
4 km -> 400,000 mm
put a decimal point at the end of 4 and move it to the left 6 times because we know that 1 km is equal to 100,000 and it has zeros.
hence, it is proven that 4 km is equal to 4000,000.
5. Given AADL AAKM with AD = 14, DK = 21, and
AL= 15. What is the measure of LM?
Answer:
22.5
Step-by-step explanation:
first of all, the first sign in the designations of the triangles is not an A. it is the Greek Delta (capital) sign. standing for "triangle" due to its shape.
as the diagram shows (and the description says correctly), ADL and AKM are similar triangles.
that means they have the same angles.
and in order to keep the same angles even when the lengths of the sides are different, the relative relation of the side lengths must be the same for all sides.
that means, if one side changes by a factor f, then both other sides must change by the same factor.
so, by checking the change factor for AD (to AK), we can then determine the change of AL to AM. and then we simply subtract AL from AM and get LM.
the original AD = 14.
AK = AD + DK = 14 + 21 = 35
the change factor f is then AK/AD = 35/14 = 5/2
in other words AD grew by a factor of 5/2.
AM is then created by applying the same factor to AL.
=> AM = 15 * 5 / 2 = 75 / 2 = 37.5
=> LM = AM - AL = 37.5 - 15 = 22.5
Step-by-step explanation:
intindihin nyo na lang.
does the estimated return to education now depend positively on parent education? test the null hypothesis that the return to education does not depend on parent education.
Research studies have shown that the estimated return to education does depend positively on parent education.
This means that children who have parents with higher levels of education are more likely to benefit from higher levels of education themselves. The null hypothesis that the return to education does not depend on parent education would be rejected based on this evidence.
It is important to note that there may be other factors that influence the return to education as well, but parent education is a significant predictor. This highlights the importance of parent education and its potential impact on the educational attainment and future success of their children.
Therefore, it is crucial to invest in parent education programs to improve the outcomes of future generations. To test the null hypothesis that the return to education does not depend on parent education, you can follow these steps:
1. Define your variables: Let 'y' be the estimated return to education, 'x1' be the individual's education, and 'x2' be the parent's education. 2. Formulate the null hypothesis (H0) and alternative hypothesis (H1): H0: The return to education does not depend on parent education (i.e., there is no relationship between 'y' and 'x2'),,
H1: The return to education depends positively on parent education (i.e., there is a positive relationship between 'y' and 'x2'). 3. Choose an appropriate test statistic and significance level (α): For example, you can use a linear regression analysis with a significance level of α = 0.05.
4. Collect data: Gather a sample of individuals with information on their return to education, their education level, and their parent's education level.
5. Perform the linear regression analysis: Conduct the analysis with 'y' as the dependent variable and both 'x1' and 'x2' as independent variables. This will provide you with the coefficients for the individual's education (β1) and parent's education (β2).
6. Test the null hypothesis: Check the p-value associated with the coefficient for parent's education (β2). If the p-value is less than the chosen significance level (α = 0.05), you can reject the null hypothesis and conclude that the return to education depends positively on parent education.
Remember that these steps assume you have access to a dataset with the relevant information to conduct this analysis. Once the analysis is complete, you can draw conclusions based on the results.
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The function C = x - 2y is minimized at the vertex point of the feasible region at (1, 0). What is the minimum value?
The minimum value of the function C = x - 2y at the vertex point (1,0) is 1.
So, when we substitute x = 1 and y = 0 into the function, we get:
C = 1 - 2 * 0 = 1.
Therefore, the minimum value of the function is 1.
Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months. Month 2 3 4 5 Sales 924 91
Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.
One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.
In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.
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Will give brainliest! 30 points!!!!
(5/7)^10 · 1.4^9
Answer:
ik this alr up here, but the answer is 0.714286
Step-by-step explanation:
Here's why:
First, im put the problem up first.
(5/7)^10 · 1.4^9
Then ima multiply (5/7) 10 times and keep 1.4^9 and here's why
if you don't multiply the exponent your answer will be wrong and you will be confused. So always use the exponent to simplify your answer. if you do 1.4^9 already. you will not find the right answer to simplify. so don't do yet,because that's on the next step
so here's what i got
5/7=9765625/282475249(1.4^9)
Then i will multiply 1.4 9 times in order to find the answer
1.4^9=20.661047
So now we will do the rest
9765625/282475249 (20.661047)
the answer is 0.714286
so now the answer is 0.714286
Hope The Great Devourer helpsssssss :)
sherry buys a 5-ounce cup of ice cream. the summer heat melts the ice cream before she can eat any. what describes the weight of the melted ice cream?
The weight of the melted ice cream would be the same as the weight of the original ice cream, which is 5 ounces.
a quantity or thing weighing a fixed and usually specified amount. : a heavy object (such as a metal ball) thrown, put, or lifted as an athletic exercise or contest. 3. : a unit of weight or mass see Metric System Table.
When the ice cream melts, it undergoes a change in state from solid to liquid, but the total mass or weight remains unchanged. Therefore, the weight of the melted ice cream is still 5 ounces.
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A 2 gallon container of disinfectant costs 22.72. What is the price per cup
Answer:
$0.71/cup
Step-by-step explanation:
1 gallon = 16 cups
2 gallons = 2 × 1 gallon = 2 × 16 cups = 32 cups
$22.72/(2 gal) = $22.72/(32 cups) = $0.71/cup
What is the value of q − 7 if q = −17? 24 10 −10 −24
PLEASE HELP!!!
When q = -17, the value of the equation, q - 7 would be: d. -24.
How to Evaluate an Equation?If we are given an equation to evaluate for a given value of a variable, we are to substitute the value of the variable into the equation and solve or simplify.
For example, if an equation is given as 3x + 4, and we are told that the x = 3, to determine the value of the equation, 3x + 4, substitute x = 3 into the equation as:
3(3) + 4
= 9 + 4
= 13
Here, we can now conclude that the value of the equation is 13.
Given the equation, q - 7, to find the value of the equation when q = -17, substitute the value of q into q - 7.
Therefore:
q - 7 = -17 - 7
= -24.
The value of the equation is: d. -24.
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The value of q - 7, when q = - 17 is - 24.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, q = - 17.
∴ q - 7.
To solve our expression we'll substitute the numerical value of q in the given expression.
= (-17) - 7.
= - 17 - 7.
= - 24.
We can also take negative sign common in the second step and distribute them later.
- 17 - 7.
= - (17 + 7).
= - (24).
= -24.
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a control chart that measures variables measures what? group of answer choices characteristic that has a discrete value and can be counted. characteristics that can be measured on a continuum of value like weight and volume. characteristics that are soft and pliable all of the above previousnext
A control chart that measures variables measures characteristics that can be measured on a continuum of value like weight and volume.
Control diagrams are a measurable instrument used to screen and control processes over the long haul. They are utilized to follow factors that can be estimated on a consistent scale, like weight, volume, temperature, or time. These factors are not discrete, yet rather fall along a reach or continuum of values. By plotting information over the long haul on a control graph, a cycle can be observed to guarantee that it stays inside a predetermined scope of OK variety. The control diagram gives a visual portrayal of the cycle information, permitting process proprietors to recognize when the interaction is crazy or when it might require remedial activity. Generally, control outlines that action factors assist with guaranteeing the nature of the cycle yield by empowering process proprietors to distinguish and address issues before they bring about deformities or mistakes.
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and a random drawing contest first place receives the grand prize of $10,000 second place receives $5,000 and third place receives $1,000 if 330 People enter the drawing and each have an equal chance what is the total possibility outcomes for 1st 2nd 3rd place
There are total 330 people who enter the drawing and there each person has equal chance to win first, second and third prize.
So total possible outcome for 1st, 2 nd and 3rd place is 330.
Answer: 330
Q4: Correct answers are highlighted.... Please solve it to get the correct answers. A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the difference in the two brands, an experiment is conducted using 14 of each brand. The tires are run until they wear out. The results are given in the table below. Compute a 90% confidence interval for HA-Hg assuming the populations to be approximately normally distributed. You may not assume that the variances are equal
Brand A
X₁ = 35,000 kilometers S₁ = 4900 kilometers
Brand B
X2=37,100 kilometers
S2=6100 kilometers
Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution.
The confidence intervals -5678
The 90% confidence interval for the difference in mileage between Brand A and Brand B is approximately (-3,221.62, -978.38) kilometers.
To compute a 90% confidence interval for the difference in mileage between Brand A (HA) and Brand B (Hg), we can use the two-sample t-test formula:
CI = (X₁ - X₂) ± t × √((S₁²/n₁) + (S₂²/n₂))
Where:
X₁ and X₂ are the sample means of Brand A and Brand B, respectively.
S₁ and S₂ are the sample standard deviations of Brand A and Brand B, respectively.
n₁ and n₂ are the sample sizes of Brand A and Brand B, respectively.
t is the critical value from the t-distribution for a 90% confidence interval with (n₁ + n₂ - 2) degrees of freedom.
Given the following information:
Brand A:
X₁ = 35,000 kilometers
S₁ = 4,900 kilometers
n₁ = 14
Brand B:
X₂ = 37,100 kilometers
S₂ = 6,100 kilometers
n₂ = 14
We need to find the critical value for a 90% confidence interval with (n₁ + n₂ - 2) = 26 degrees of freedom. Let's assume you have the necessary table of critical values for the t-distribution.
Assuming you find the critical value to be t = 1.706 (rounded to three decimal places), we can calculate the confidence interval:
CI = (35,000 - 37,100) ± 1.706 × √((4,900²/14) + (6,100²/14))
CI = -2,100 ± 1.706 × √(2,352,100/14 + 3,721,000/14)
CI = -2,100 ± 1.706 × √(167,293.99 + 265,785.71)
CI = -2,100 ± 1.706 × √(433,079.70)
CI = -2,100 ± 1.706 × 657.96
CI = -2,100 ± 1,121.62
CI ≈ (-3,221.62, -978.38)
Therefore, the 90% confidence interval for the difference in mileage between Brand A and Brand B is approximately (-3,221.62, -978.38) kilometers.
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Please I need the 3 of them
The following operations are used to transform the quadratic equation y = x² into parabolas in standard form:
Case 1
Horizontal translation, vertical translation. Horizontal stretch.
Case 2
Horizontal translation, vertical translation. Reflection in the x-axis, vertical stretch.
Case 3
Horizontal translation, vertical translation. Horizontal stretch.
How to determine the magnitude of horizontal and vertical translations for quadratic equations
In this question we find three cases of parabolas in standard form, that is, quadratic equations of the form:
y - k = a · (x - h)²
Where:
a - Vertex constant(h, k) - Coordinates of the vertex.This parabola is translated both horizontally and vertically by using the following definitions:
Horizontal translation
x → x - a, where a > 0 for rightward translation.
Vertical translation
y → y - b, where b > 0 for upward translation.
Horizontal dilation
f(x) → f(k · x), where k is a non-negative real number.
Vertical dilation
f(x) → k · f(x), where k is a non-negative real number.
Reflection in the x-axis
f(x) → - f(x)
The procedure is summarize below:
Write the original function, that is, the equation of the parabola with vertex at origin.Apply dilation, translation and reflection definitions.Finally, we summarize the procedure for each case:
Case 1
g(x) = x²
g(x) = [(1 / 2) · x²]
g(x) + 4 = [(1 / 2) · (x - 2)]²
Horizontal shift: 2 units right, vertical shift: 4 units down. Horizontal stretch.
Case 2
f(x) = x²
f(x) = - (1 / 2) · x²
f(x) - 2 = - (1 / 2) · (x - 4)²
Horizontal shift: 4 units right, vertical shift: 2 units down. Reflection in the x-axis, vertical stretch.
Case 3
h(x) = x²
h(x) = 2 · x²
h(x) - 5 = [2 · (x + 2)]²
Horizontal shift: 2 units left, vertical shift: 5 units up. Horizontal stretch.
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1A roll of ribbon is 1,780 inches long. It takes 1 yard
of ribbon (36 inches) to wrap a gift:
How many gifts can be wrapped?
6 gifts. 6 yards of ribbon.
Solve for a: 3((1/3)a + 3)
= 27
Answer:
I think its 3 but I'm not a 100% sure.
Answer:
a = 24
Step-by-step explanation:
first distribute the 3 to the 1/3a and the 3 in the parentheses.
3 times 1/3 a equals a because 1/3 times 3 equals 3/3 or 1. so 1a equals a.
so now the equation reads (a + 3) =27
now subtract 3 from both sides of the equation and you are left with a = 24
Please help.
Justin initially purchased a property for $85,000. After 5 years, the property was worth $112,000. What is the average rate of change for the first 5 years? A. $2,700 per year B. $8,450 per year C. $5,400 per year D. $6,750 per year
Answer:
C. $5,400 per year.
Step-by-step explanation:
Average rate of change = ($112,000 - $85,000) / 5 = $27,000 / 5 = $5,400 per year
suppose ruth ann has 3 routes she can travel between the school to the library, and 5 routes from the library to her home. how many routes are there from ruth ann's school to her home with a stop at the library?
Answer: Hello there!
There are 3 ways Ruth can go from high school to the library, and 5 ways she can go from the library to her home.
The number of possible combinations is equal to the product between the options of each event (where the events are going from high school to the library and going from library to her house):
\(3\times5 = 15\)
Then there are 15 different routes that Ruth can take from high school to her home, where she makes a stop at the library.
A clear jar is filled with black, red, and green marbles.
There are 6 black marbles and each marble is uniquely
marked with a number 1 through 6. There are also six red
marbles and six green marbles numbered the same way.
Given that a black or a red marble is randomly selected,
what is the probability that it is marked with a number
greater than 4
?
Step-by-step explanation:
isi properly in hai and ke and in ke in and hai in to in hai in urr7yfufkc USPS packages in place of the day and night and the day of school is a good weekend of June and I have to be a good time for a few days ago and it is not the named recipient you must be the best of the year and a half men in the day and time for a good weekend of may be unlawful or the other side and the other day that would work best for the delay but I am going out for you to JFK to SFO to be in the day and night at my house and I have a great day and I will be in the day of the year and a half men in the morning of may and I am going on in your life is not the addressee only for a good weekend too many people will share it on my own business and the day before I have to do it on the day of the week of June and July to be a great day and night at the I have to do the same as last time I have to R blog archive for the day of the day of the day of the day of the day of the day of the day of the day of the day of the day of the day of your website and get a few things I need the money to get you the day of the day of the day of the day of the day of the day of the day of the day of the day of the day of the day of the day of the day of the day of the day of your website and I am a little bit about myself and the day before yesterday and the rest of my own business and I will be able to do you have anypay.
The probability of getting a marble marked with a number greater than 4 is \(\frac{1}{9}\).
What is probability?Probability is the measure of happening or non-happening of outcomes of random experiment.
Probability formulaP(E) = Number of favorable outcomes/Total number of outcomes
where,
P(E) is the probability of an event.
According to the given question.
Total number of marbles in jar = 18
⇒ Total number of outcomes = 18
( 6 red marbles, 6 black marbles, and 6 green marbles)
But it is given that, black or red marble is randomly selected.
Therefore, the total number of outcomes reduced to 12.
Numbers which are greater than 4 among 1 to 6 are 5 and 6.
Total number of numbers which are greater than 4 in jar = 2 × 3 =6
But we have to select only black or red marble.
Therefore,
Total number of favorable outcomes = 4
The probability of selecting a marble greater than 4 which are red
= \(\frac{4}{12} =\frac{1}{3}\)
The probability of selecting a marble greater than 4 which are black
= \(\frac{4}{12} = \frac{1}{3}\)
Therefore, the probability of getting a marble marked with a number greater than 4 \(=(\frac{1}{3}) (\frac{1}{3} )=\frac{1}{9}\)
Hence, the probability of getting a marble marked with a number greater than 4 is \(\frac{1}{9}\).
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if a test has a standard deviation of 20 and a reliability of .90, what is the standard error of measurement?
The standard error of this measurement is 6.32
How to determine the standard error of measurement?The standard error of measurement is simply the estimate of how repeated measures of an entity on the same instrument tend to be distributed around the entity' “true” score.
In this case, we have the following parameters
Standard deviation = 20
Reliability = 0.90
The standard error of measurement from the standard deviation and the reliability is calculated using the following formula
Standard error of measurement = Standard deviation * √1 - reliability
Substitute the known values in the above equation, so, we have the following representation
Standard error of measurement = 20 * √1 - 0.90
This gives
Standard error of measurement = 20 * √0.10
Evaluate
Standard error of measurement = 6.32
Hence, the standard error in this case is 6.32
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According to Islamic tradition, how were the messages from Allah first spread? Muslim people in Arabia read the Qur'an. The archangel Gabriel spoke to the people of Mecca. Muhammad's followers shared Islam throughout Arabia. Muhammad shared the messages with the people of Mecca.
Answer:
Muhammad shared the messages with the people of Mecca.
Step-by-step explanation:
The archangel Gabriel spoke to the Last Prophet Hazrat Muhammad s.a.w to spread the message of Islam to the people.
The first time the archangel Gabriel spoke to the Prophet Hazrat Muhammad s.a.w he told him ,"to read in the name of your Lord who has created you with clot of blood."
But the holy Prophet was unable to read and write so Gabriel taught him orally. Then afterwards he was told to spread the message of Allah.
Answer:
D : Muhammad shared the messages with the people of Mecca.
Step-by-step explanation:
2x + 4 = 16 Please Identify the following. What number is the coefficient? What is the variable? What is the constant?
Explanation: The coefficient is a number in front of your variable.
So here, the coefficient is 2 since it's before the variable x.
A variable is a letter that represents any number.
So here, the variable or the letter is x.
The constant is the number on its own.
So here, we have two constants, they are 4 and 16.
a technical engineer is interested in understanding the battery life of two different laptops for student usage at a community college in california. the two models he has are madroid and krapple. he randomly assigned students to one of the laptop models and recorded the number of minutes the students were able to use the computer until the battery ran out. use data file: laptops.csv download laptops.csv does the technical engineer have statistically significant evidence to present to the university budget committee to purchase krapple because it has, on average, a longer battery life? provide the p-value from your analysis.
The conclusion of hypothesis testing through the t-test is that the technical engineer have not statistically significant evidence to present to the university budget committee to purchase Krapple because it has, on average, a longer battery life. The p-value for t-test is equals to the 0.0074.
We have study related to battery life of two different laptops for student usage at a community college in california. There are two models, Krapple and Madroid. Engineer randomly assigned students to one of the laptop models and recorded the number of minutes the students were able to use the computer until the battery ran out. Here we have paired data so paired t test should be used.
Let d = Krapple - Madroid ( Sample sum of difference). Above table shows the calculations, Sample size, n = 15
Sample sum of difference, d = 1243
Sample mean of differences: Σα
= 1243/15 = 82.87
Sample standard deviation = \(\sqrt{\frac{488317.73}{15-1}}\)
= 186.76
The Null and alternative Hypotheses are defined as \(H_0 : \mu_1- \mu_2 = 0\)
\(H_a : \mu_1 - \mu_2 < 0\)
Level of significance, α = 0.05
Test is one tailed (right tailed) df = n- 1
=> Degree of freedom = 14
Using the t - test, \(t = \frac{\sum d }{ \sqrt{\frac{n\sum d² - (\sum d)²}{n - 1}}}\)
so, \( t = \frac{ 1243}{\sqrt{\frac{15× 488317.73 - (1243)²}{ 15 -1}}}\)
=> \(t =\frac{1243}{\sqrt{412836.925}}\)
=> t = 1.93
Now, using distribution table, P- value for t = 1.93, is 0.074. See, p-value > 0.05 , so result is not statistically significant. So, there is no evidence to reject the null hypothesis.
Conclusion: The technical engineer do not have statistically significant evidence to present to the university budget committee to purchase Krapple because it has, on average, a longer battery life.
Hence, required p-value is 0.074.
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Complete question:
the above first figure complete the question.
a technical engineer is interested in understanding the battery life of two different laptops for student usage at a community college in california. the two models he has are madroid and krapple. he randomly assigned students to one of the laptop models and recorded the number of minutes the students were able to use the computer until the battery ran out. use data file: laptops.csv download laptops.csv does the technical engineer have statistically significant evidence to present to the university budget committee to purchase krapple because it has, on average, a longer battery life? provide the p-value from your analysis.
Find the quadratic equation with integral coefficients having roots 6 and 2.
The quadratic equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0
How to determine the quadratic equation?The roots are given as:
x = 6 and x = 2
Rewrite as:
x - 6 = 0 and x - 2 = 0
Multiply both equations
(x - 6)(x - 2) = 0 * 0
Evaluate the product
x^2 - 6x - 2x + 12 = 0
Evaluate the difference
x^2 - 8x + 12 = 0
Hence, the equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0
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Two angles are complementary the difference between four times the measure of the smaller angle and the measure of the larger angle is 10 what is the measure of the larger angle
The measure of the larger angle is obtained as follows:
70º
What are complementary angles?Two angles are defined as complementary is the sum of their measures is of 90º.
The variables that represent each angle in this problem are given as follows:
x and y.
They are complementary angles, hence:
x + y = 90.
The difference between four times the measure of the smaller angle and the measure of the larger angle is 10, hence:
4y - x = 10.
x = 4y - 10.
Hence the value of y is obtained as follows:
4y - 10 + y = 90
5y = 100
y = 100/5
y = 20º.
Hence the measure of the larger angle is given as follows:
x + 20 = 90
x = 70º.
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whats the relation ship between these two
Your friend has read 6 more than twice as many pages as your
sister has read. Let 4
be the number of pages that your sister has
read. Write an expression for the number of pages that your friend
has read
Answer:
Expression: 2s + 6
# of Pages Friend Read: 14 pages
Step-by-step explanation:
Let's call the number of pages your sister has read, s, and the number of pages your friend has read, f. We will make our equation first. If your friend has read 6 more than twice as many pages as your sister has, your equation would look like this:
f = 2s + 6
That is your equation for how many pages your friend read, your expression would be just 2s + 6. Now, we will substitute in 4 for s, and we get:
f = 2 * 4 + 6
Multiplying gives:
f = 8 + 6 = 14
So your friend has read 14 pages.
Hope this helped!
for what values of a and b is the following function continuous at every x?
Answer:By solving a system of equations, we will see that the function is continuous for all values of x
Step-by-step explanation:
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The solution (2, 2) means that 2 adults and 2 children boarded the raft and the weight of the raft didn't exceed its maximum weight.
The solution (5, 0) means that 5 adults boarded the raft and the weight of the raft exceeded its maximum weight.
How to write the required system of linear inequalities?Based on the information provided above, a system of linear inequalities that represent both the minimum (least) and maximum (most) weight Chase can carry in terms of rafters is given by;
Minimum: 75x + 50y ≥ 150
Maximum: 200x + 100y ≤ 800
where:
x represent the number of adult rafters.y represent the number of rafters for children under age 16.For the first trip wherein, Chase guides 2 adults and 2 children;
75x + 50y ≥ 150
75(2) + 50(2) ≥ 150
150 + 100 ≥ 150
250 ≥ 150 (True).
200x + 100y ≤ 800
200(2) + 100(2) ≤ 800
400 + 200 ≤ 800
600 ≤ 800 (True).
For the second trip wherein, Chase guides 5 adults;
75x + 50y ≥ 150
75(5) + 50(0) ≥ 150
375 + 0 ≥ 150
375 ≥ 150 (True).
200x + 100y ≤ 800
200(5) + 100(0) ≤ 800
1,000 + 0 ≤ 800
1,000 ≤ 800 (False).
Read more on inequality here: brainly.com/question/28748540
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Complete Question:
Chase estimates the weight of each adult as approximate 200 pounds and the weight of each child under age sixteen as approximate 100 pounds. Chase charges adults $75 and children under age sixteen $50 to ride down the river with him. His goal is to earn at least $150 each rafting trip.
To write an inequality to represent the most weight Chase can carry in terms of rafters. Define your variables.