Answer: We have to solve the provided inequality:
\(\frac{3}{5}(x-12)>x-24\Rightarrow(1)\)The detailed steps for the solution to inequality (1) are as follows:
\(\begin{gathered} \begin{equation*} \frac{3}{5}(x-12)>x-24 \end{equation*} \\ \\ \text{ Multiply out the 3/5 on the left:} \\ \\ \frac{3x}{5}-\frac{36}{5}>x-24 \\ \\ \text{ Add 24 on both sides:} \\ \\ \\ \\ \frac{3x}{5}-\frac{36}{5}-24\gt x \\ \\ \\ \\ \text{ Subtract \lparen3x/5\rparen on both sides:} \\ \\ \\ \frac{36}{5}-24\gt x-\frac{3x}{5} \\ \\ \\ \\ \text{ Final steps is the simplification:} \\ \\ \frac{36}{5}-\frac{(24\times5)}{5}\gt\frac{x}{5}-\frac{3x}{5} \\ \\ \\ \frac{36}{5}-\frac{(24\times5)}{5}\gt\frac{(x\times5)}{5}-\frac{3x}{5} \\ \\ \\ \\ \frac{36-120}{5}\gt\frac{(5x-3x}{5} \\ \\ \\ -\frac{84}{5}>\frac{2}{5}x \\ \\ \\ \text{ Multiply both sides by \lparen5/2\rparen:} \\ \\ \\ \frac{5}{2}\times-\frac{84}{5}\gt\frac{5}{2}\times\frac{2}{5}x\Rightarrow-42>x \\ \\ \\ x<-42 \end{gathered}\)Therefore the answer is that x is less than -42.
Need the answer ASAP MSP430F5529 Embedded Systems
How Long the MSP430F5529 run on the battery(specifications given
below) in LPM4 for 76.22% of the time and is active only for 23.8%
of time?Assume sys
We need additional information about the power consumption of the microcontroller in each mode. The power consumption of a microcontroller varies depending on the operational mode.
In LPM4, the power consumption is typically very low, whereas in active mode, the power consumption is higher. To calculate the runtime in LPM4, we need to know the average power consumption in that mode. Similarly, for active mode, we need the average power consumption during that time. Once we have the power consumption values, we can use the battery capacity (usually measured in milliampere-hours, or mAh) to calculate the runtime. Unfortunately, the specific power consumption values for the MSP430F5529 microcontroller in LPM4 and active mode are not provided. To accurately determine the runtime, you would need to consult the microcontroller's datasheet or specifications, which should provide detailed power consumption information for different operational modes. Without the power consumption values, it is not possible to provide an accurate calculation of the runtime in LPM4 for 76.22% of the time and active mode for 23.8% of the time.
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Determine whether or not the equation below is balanced. If it isn’t balanced, write the balanced form. Also, identify the reactant(s) and product(s) in this equation. Finally, label this as one of the five types of reactions: combination, decomposition, substitution, double replacement, or reversible.
Zn+ HCl → ZnCl2 + H2
Answer:
1. The equation isn't balanced because there aren't equal numbers of hydrogen or chlorine atoms on both sides of the equation. To correct this, a coefficient of 2 must be placed in front of HCl on the left-hand side of the equation.
Zn+2HCl→ZnCl2+H2
Zn and 2HCl are the reactants; ZnCl2 and H2 are the products. This is a substitution reaction because a free element (Zn) replaces another element (H) in a compound.
2. This is a balanced equation because the same types of atoms and the same numbers of each atom are present on both sides of the equation. 8 S atoms are found on both sides of the equation, and 48 F atoms are found on both sides of the equation. S8 and 24F2 are the reactants; 8SF6 is the product. This is a combination reaction because two substances (S8 and 24F2) undergo a chemical union to form a more complex substance (8SF6).
S8+24F2→8SF6
3. In ferric oxide (Fe3O4), there are 3 atoms of iron (Fe) and 4 atoms of oxygen (O). From the Periodic Table of Elements, we know that the atomic mass of iron is 55.8457 and the atomic mass of oxygen is 15.9994.
Fe3 = 55.8457 × 3 = 167.5371
O4 = 15.9994 × 4 = 63.9976
167.5371 + 63.9976 = 231.5347 (231.535 rounded)
Therefore, the molecular mass of ferric oxide is 231.535.
4. The percentage composition of chlorine in CaCl2 is derived as follows:
The molecular mass of the entire compound is:
Ca = 40.078 × 1 = 40.078
Cl2 = 35.4527 × 2 = 70.9054
40.078 + 70.9054 = 110.9834 (110.983 rounded)
The atomic mass of each element (or its multiple) is divided by the molecular mass of the compound:
Ca = 40.078 ÷ 110.983 = 0.361
Cl2 = 70.9054 ÷ 110.983 = 0.639
Multiplying each by 100 will turn these into percents. Therefore, the percentage composition of chlorine is 63.9%.
5. i. a, c, f, h
ii. e
iii. b, d, g, i
iv. i
Step-by-step explanation:
PENN FOSTER
The given chemical equation represents a type of reaction known as a single replacement (or displacement) reaction. In this reaction, zinc (Zn) displaces hydrogen (H) from hydrochloric acid (HCl) to form zinc chloride (\(ZnCl_2\)) and hydrogen gas (\(H_2\)).
The given chemical equation is:
\(Zn + HCl \rightarrow ZnCl_2 + H_2\)
To determine if the equation is balanced, we need to check if the number of atoms of each element is the same on both sides of the equation.
On the left side (reactant side):
Zinc (Zn) atoms: 1
Hydrogen (H) atoms: 1
Chlorine (Cl) atoms: 1
On the right side (product side):
Zinc (Zn) atoms: 1
Hydrogen (H) atoms: 2 (from\(ZnCl_2 + H_2\))
Chlorine (Cl) atoms: 2 (from \(ZnCl_2\))
The number of hydrogen (H) and chlorine (Cl) atoms is not balanced between the reactants and products. To balance the equation, we need to have the same number of atoms on both sides.
Balanced equation:
\(Zn + 2HCl → ZnCl_2 + H_2\)
Now, the equation is balanced with the following number of atoms on both sides:
On the left side (reactant side):
Zinc (Zn) atoms: 1
Hydrogen (H) atoms: 2
Chlorine (Cl) atoms: 2 (2 from HCl)
On the right side (product side):
Zinc (Zn) atoms: 1
Hydrogen (H) atoms: 2 (from H2)
Chlorine (Cl) atoms: 2 (from ZnCl2)
Identification of reactants and products:
Reactants: Zn (zinc) and HCl (hydrochloric acid)
Products: \(ZnCl_2\) (zinc chloride) and \(H_2\) (hydrogen gas)
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what is the most common factor limiting aspen's distribution along the western edge of its range in canada?
The answer is "Failure of the reproductive structures to survive the frost". It is the most common factor limiting aspen's distribution along with the western edge of range in Canada.
Aspen trees are the one that are adapted to surviving in cold climates or cold weather but reproductive structures, like flowers and fruits are more sensitive to the frost. Cold temperatures at the western end of the shivering Canadian Cottonwood Range can cause frosts that damage and destroy that reproductive structures. This factor is most common factor that is restricting the distribution of aspens along the western edge of their range in Canada.
In addition, the harsh climate of "may" also limit the growth of popular seedlings, thus, aspen's range is limited by a lack of reproductive and growing success in the colder parts of its range.
Full Question:
What is the most common factor limiting aspen’s distribution along the northwestern edge of aspen's range?
A. Failure of fruits to ripen
B. Failure of the reproductive structures to survive the frost
C. Herbivory
D. Failure of seed germination
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Need help ASAP!!!! :)
Answer:
B. All real numbers
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph, we see that the line's x-values span from negative infinity to infinity. Therefore our domain encapsulates all real numbers.
You pay $30 each month for satellite TV, plus $2.50 for every movie you purchase. Write and solve an equation to find the number of movies purchased during a month with a total bill of $45. What is it in an equation and how many movies do you purchase. Im on a timed thing so please be speedy
Answer:
6 movies
Step-by-step explanation:
45-30=15 spent on movies
divide the 15 by 2.5 to get 6.
$30+$2.50m=$45
where m is the amount of movies
Answer:
let he purchaseed x movies
30 + 2.5x = 45
or 2.5x = 15
x=15/2.5 =6
Step-by-step explanation:
What are the features of the quadratic function f(x)=(x-3)(x+7)?
Answer:
It's vertex (-2,-25)x-intercept x₁=-7,x₂=3y-intercept f(0)=-21domain,xER or x is an element of real numberit's neither even nor odd functionA test about the proportion of red Skittles in each bag is conducted. Assume Hop = 0.2 and H₁ p > 0.2. in the context of this question, describe a type one (type 1) error. Edit View Insert Format To
In the context of hypothesis testing about the proportion of red Skittles in each bag, a Type I error occurs when the test results lead to the conclusion that the proportion of red Skittles is greater than 0.2 (H₁), even though in reality it is not.
A Type I error is essentially a false positive, where the test incorrectly indicates a significant result and rejects the null hypothesis, leading to a conclusion that contradicts the true state of affairs.
In this case, it would mean mistakenly concluding that the proportion of red Skittles is higher than 0.2, even though it is not supported by the evidence.
The significance level (often denoted as α) of the hypothesis test determines the probability of committing a Type I error.
By setting a lower significance level (e.g., α = 0.05), the risk of making a Type I error can be reduced, but this increases the likelihood of committing a Type II error (failing to reject H₀ when it is false).
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Which of the type directions lie in the (110) plane? [101] [110] [o īl] (110
The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.
Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.
Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.
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2. Suppose 0 = 180°. Which of the following is NOT an equivalent coterminal 1 point
angle measure?*
A:-180°
B:360°
C:540°
D:920
Answer:
D: 920
Step-by-step explanation:
My reasoning here was simple: 920 is the only option listed that is not divisible by 180.
Hope this helps. Have a great day!
If chris measured the length of a line segment and rounded his answer to the nearest centimetre and get 6cm what is the accurate statement about the actual meausure be
Answer:
d
Step-by-step explanation:
A. Between 500 cm and 700 cmB. Between 550 cm and 650 cmC. Between 5.0 cm and 6.0 cmD. Between 5.5 cm and 6.4 cm A B C D
to round off to the nearest cm of 6. the value must be between 5.5 and 6.4
To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
the following are the duration in minutes of a sample of long - distance phone calls made within the continental united states reported by one long - distance carrier.
The correct option is B) 5 minutes.
The width of each class /(class width) is 5 minutes.
What is termed as the class width/class interval?The term "class interval" refers to the numerical width of a class in such a frequency distribution.
Some key features regarding the class width/class interval are-
Data in a grouped frequency distribution is organized into classes. The class interval is defined as the difference between both the upper and lower class limits.There are two kinds of class intervals in statistics: exclusive & inclusive class intervals. A table of frequency distribution can be built using these.A class interval is utilized in a table of frequency distribution to systematically organize data from an experiment. A frequency distribution's classes are usually mutually exclusive. A grouped frequency distribution can be organized according to whether the class intervals are exclusive or inclusive.To know more about the class width/class interval, here
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The complete question is -
The following are the duration in minutes of a sample of long-distance phone calls made within the continental United States reported by one long-distance carrier.
RelativeTime (in Minutes)/
Frequency
0 but less than 5/0.37
5 but less than 10/0.22
10 but less than 15/0.15
15 but less than 20/0.10
20 but less than 25/0.07
25 but less than 30/0.07
30 or more/0.02
What is the width of each class?
A) 1 minute
B) 5 minutes
c) 2%
d) 100%
what does the following indicate in a genogram:
1. square
2. circle
3. solid horizontal line
4. broken line
5. X through a square/circle
6. solid verticle line
In a genogram, various symbols and lines represent different aspects of a person's familial relationships and attributes. Here's a breakdown of the symbols you mentioned:
1. Square: A square in a genogram indicates a male individual. It represents the person's gender and is used to distinguish between male and female family members.
2. Circle: A circle in a genogram indicates a female individual. It represents the person's gender and is used to distinguish between male and female family members.
3. Solid horizontal line: A solid horizontal line in a genogram represents a marital relationship between two individuals. The line connects a square (male) and a circle (female) to show that they are married or in a committed partnership.
4. Broken line: A broken line in a genogram represents a non-blood relationship, such as an adoptive parent-child relationship or a step-sibling connection. It is used to show relationships that are not based on biological ties.
5. X through a square/circle: An X through a square or a circle indicates that the individual is deceased. This symbol is used to show that the person has passed away and is no longer living.
6. Solid vertical line: A solid vertical line in a genogram represents a parent-child relationship. It connects an individual (either a square or circle) to their parent(s), showing the biological connection between the family members.
These symbols and lines help provide a visual representation of a person's family history and relationships, making it easier to analyze and understand the various connections within a family tree.
Overall, a genogram is a visual representation of a family tree that includes important information about relationships, health issues, and other relevant details. By understanding the various symbols and indicators used in a genogram, it is possible to gain a deeper understanding of family dynamics and relationships, as well as potential risk factors for various health conditions. As such, genograms are an important tool for healthcare providers, therapists, and other professionals working with individuals and families.
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I will give brainlest to the right answer!
Which of the following is TRUE about cardiovascular exercise?
1.Beginners should try to do intense cardiovascular exercise when they start a new program so they see results faster.
2.Cardiovascular exercise can only be performed outdoors
3.Only high intensity exercise where your heart is beating very fast counts as cardio exercise
4.You should perform cardiovascular exercises and types that you enjoy to ensure that you will exercise regularly.
\(\text{Hello There!}\)
\(\text{I believe that number 4 is the correct answer}\)
\(\text{Cardiovascular (cardio) is very beneficial for you ranging from good exercise to heart benefits.}\)
\(\text{Cardio doesn't have to be on a machine, it could be running or biking.}\)
\(\text{Therefore, it is practically needed to be healthy.}\)
\(\huge\text{I hope this helped! :)}\)
\(\rule{250}{1.5}\)
You want to endow a scholarship that will pay $5,000 per year forever, starting one year from now. If the school's endowment discount rate is 7%, what amount must you donate to endow the scholarship? How would you answer change if you endow it now, but it makes the first award to a student 10 years from today?
The amount required to endow the scholarship would still be approximately $71,428.57.
To calculate the amount needed to endow a scholarship that pays $5,000 per year forever, starting one year from now, we can use the concept of perpetuity and the formula for present value. The amount required to endow the scholarship can be calculated as follows:
Amount needed = Annual payment / Discount rate
Using the given values, the amount needed to endow the scholarship is:
Amount needed = $5,000 / 0.07 = $71,428.57
Therefore, you would need to donate approximately $71,428.57 to endow the scholarship.
If the scholarship makes the first award to a student 10 years from today, the calculation would be different. In this case, we need to account for the time value of money and discount the future payments to their present value. We can use the formula for the present value of an annuity to calculate the amount needed to endow the scholarship:
Present value = Annual payment / (Discount rate - Growth rate)
Assuming there is no growth rate mentioned, we can use the same discount rate of 7% for simplicity. The amount needed to endow the scholarship, in this case, would be:
Present value = $5,000 / (0.07 - 0) = $71,428.57
Even though the first award is made 10 years from today, the present value remains the same. This is because the discount rate is equal to the growth rate (0% in this case). Therefore, the amount required to endow the scholarship would still be approximately $71,428.57.
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Im doing a practice assignment and im not the best at word problems Im not understanding the question
A sample statistic is is any quantity from the sample of a population.
We can see in the last option, that from the population (total of subjects of study) Kaisa, selected 84 of the total students. This fits in to the definition of sample statistic.
Thus, the correct option is the last one.
$121 is 16% of what?
Answer:
13.22%
Step-by-step explanation:
bayesian regression with undirected network predictors with an application to brain connectome data.
Bayesian regression with undirected network predictors offers a powerful framework for analyzing brain connectome data and gaining a deeper understanding of the relationships between brain connectivity and various outcomes of interest.
Bayesian regression with undirected network predictors refers to a statistical modeling approach that combines Bayesian inference principles with regression analysis when the predictors are represented as an undirected network. This approach is particularly useful when dealing with data that has a network structure, such as brain connectome data.
In the context of brain connectome data, a connectome represents the structural or functional connectivity between different regions or nodes of the brain. Each node can be seen as a predictor variable, and the relationships between nodes are represented by edges in the network.
Bayesian regression allows for flexible modeling of the relationships between predictors and the response variable, taking into account uncertainty in the parameter estimates. By incorporating the network structure of the predictors, Bayesian regression with undirected network predictors can capture complex dependencies and interactions among brain regions, providing insights into the relationships between brain connectivity and the outcome of interest.
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3. XY has an equation of x = 8. What is the equation, in point-slope form, of a line that is
perpendicular to XY and passes through (6, 9)?
(i'm looking for an explanation)
Answer: y=9
Step-by-step explanation:
Plug in (6,9) into the slope intercept form equation:
9=0(6) +b
Then get
9=b
When you make the equation you would end up with:
y=0x+9
which simplifies to y=9
How to find the value
Answer:
x = 4°
Step-by-step explanation:
According to exterior angle sum property , sum of two opposite interior angles of the triangle is equal to the exterior angle.
So, using exterior angle sum property :-
mBDC + mBCD = mWBC
=> 8x - 1 + 46° = 18x + 5
=> 18x - 8x = 46 - 1 - 5
=> 10x = 40
=> x = 4°
ILL GIVE BRAINLYIST AND ALL MY POINTS IF THIS GETS ANSWERD JUST HURRY!!!!
A group of students were surveyed to find out if they like bike riding and/or roller skating as a hobby. The results of the survey are shown below:
80 students like bike riding
20 students like bike riding but do not like skating
90 students like skating
40 students do not like bike riding
Make a two-way table to represent the data and use the table to answer the following questions.
Part A: What percentage of the total students surveyed like both bike riding and skating? Show your work. (5 points)
Part B: What is the probability that a student who does not like bike riding also does not like skating? Explain your answer. (5 points)
Answer:
0.261
Step-by-step explanation:
gimme brainliest
3x - 2y
6x + 5y = 8
Classify the system correctly.
A)
Inconsistent
B)
Indeterminate
C)
Consistent and Dependent
D)
Consistent and Independent
The solution of the system is: x = 17/9
y = -2/3
The above system is D) Consistent and Independent.
In mathematics, especially algebra, a system of equations (linear or nonlinear) is said to be consistent if there is at least one set of unknown values that satisfies all the equations in the system, i.e.: They are substituted into each equation become and make each equation true as an identity.
Systems of equations are considered independent if the graphs of the equations yield different straight lines. An independent system of equations has a solution that can be found graphically or algebraically.
Now,
Given in the question :
3x - 2y = 7 --------------------------- (1)
6x +5y = 8 ---------------------------- (2)
Multiplying equation (1) by 2, we get:
6x - 4y = 14 ------------------------ (3)
Now,
Substituting equation (2) from equation (3), we get:
9y = -6
⇒ y = -2/3
Putting the value of y = -2/3, we get:
3x - 2× (-2/3) =7
⇒ 3x + 4/3 = 7
⇒ 3x = 21 - 4/3
⇒ x = 17/9
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how many ways can you make a 5 digit password that can be any number (including zero) or letter (not case sensitive)? 916132832
These work out to 60,466,176 case insensitive combinations of letters.
There are 10 digits 0–9.
The are 26 letters in the modern alphabets.
However, you didn’t specify whether capital and lowercase letters count as the same letter or separate. In the former case, there are 26 letters, in the latter, there are 52.
There is also such a thing as lowercase numbers, but since they aren’t in common standard usage, I won’t count those.
You also didn’t specify that characters couldn’t be repeated, so I am going to assume that the same character can appear multiple times in a 5 character combination.
Also, since the combinations are an alphanumeric string of characters rather than a number, I will assume that leading zeroes are allowed.
So, there are either 36 (10 digits and 26 letters).
To find the number of combinations you multiply the number of possibilities for each character;
36 x 36 x 36 x 36 x 36
These work out to 60,466,176 case insensitive combinations of letters.
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real estate ads suggest that 60% of homes for sale have garages, 30% have swimming pools, and 18% have both features. what is the probability that a home for sale has garage but no pool?
The probability of a home for sale having a garage but no pool is 0.42.
To do this, we need to use some probability rules. One useful rule is the formula for calculating the probability of an event not occurring. This is given by:
P(not A) = 1 - P(A)
where A is the event we are interested in, and not A is the event of A not occurring.
In this case, we are interested in the probability of a home having a garage but no pool. Let's call this event GNP (short for garage no pool). Using the information given, we know that 60% of homes have garages and 18% have both garages and pools. We can use this information to calculate the probability of a home having a garage but no pool as follows:
P(GNP) = P(G) - P(G and P)
where G is the event of a home having a garage and P is the event of a home having a pool.
Substituting the values we have:
P(GNP) = 0.6 - 0.18
P(GNP) = 0.42
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solve the following 1-step equation for x
WILL GIVE BRAINLIEST IF YOU SHOW WORK!PLZ QUICKLY!! What is the solution to the equation Negative 4 (2 x + 3) = 2 x + 6 minus (8 x + 2)? x = –10 x = –8 x = Negative five-halves x = Negative StartFraction 4 Over 7 EndFraction
Answer:
x = -8
Step-by-step explanation:
Step 1: Write out the equation
-4(2x + 3) = 2x + 6 - (8x + 2)
Step 2: Distribute
-8x - 12 = 2x + 6 - 8x - 2
Step 3: Combine like terms
-8x - 12 = -6x + 4
Step 4: Isolate x's
-2x -12 = 4
-2x = 16
Step 5: Divide both sides by -2
x = -8
Answer:
b) x = -8
Step-by-step explanation:
Now we have to,
→ find the required value of x.
Forming the equation,
→ -4(2x + 3) = (2x + 6) - (8x + 2)
Then the value of x will be,
→ -4(2x + 3) = (2x + 6) - (8x + 2)
→ -4(2x + 3) = 2x + 6 - 8x - 2
→ -8x - 12 = (2x - 8x) + (6 - 2)
→ -8x - 12 = -6x + 4
→ -8x + 6x = 4 + 12
→ -2x = 16
→ x = 16/-2
→ [ x = -8 ]
Hence, the value of x is -8.
Line c passes through points (10, 10) and (1, 5). Line d is parallel to line c. What is the slope of line d?
In response to the query, Line C traverses Point (10, 10) & (1, 5). Line d and line c are parallel, and line d's slope is 5/9.
Why is parallel important?Parallel in mathematics refers to the different vectors that should never have cross each other with. Parallel relates directly to complementarity or contemporaneous higher incidence.
A straight line's general equation is: y = mx + c [m] where [m] is the slope of the line and represents the unit change rate of [y] without respect to [x].
The y-intercept, or the place where the graph crosses the [y] axis, is represented by [c].
When (x1, y1) and (x2, y2) are really the coordinates of 2 points on the line, m = (y2 - y1) / (x2 - x1).
adding the values we obtain,
m = (5 - 10) / (1 - 10) = -5 / -9 = 5/9
Therefore, the slope of line [d] would be 5/9.
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The sum of the interior angles of a regular polygon is 3 times the sum of its exterior angles. Determine the number of sides of the polygon?
Answer:
Octagon
Step-by-step explanation:
Sum of interior angles = 3*360 = 1080
sum of interior angles, is also, s = (n-2)180
From that,
n-2)180 = 1080
n-2 = 1080/180
n = 6 + 2
n = 8
Therefore, the figure is an 8 sided polygon or an octagon
Answer:
number of sides of a polygon is 8(because the polygon is octagon)
sum of interior angle of a octagon=1080 degree
sum of exterior of a octagon = 360 degree
Step-by-step explanation:
here in question ,
interior angle of a polygon=3*360(exterior angle of a polygon is always 360 degree)
=1080
I need help with this
The propositional variables s and m represent the two propositions:
s: It is sunny today.
m: I will bring my umbrella. Select the logical expression that represents the statement: "Despite the fact that it is sunny today, I will bring my umbrella."
(A) s
(B) s∧m
(C) s∨m
The logical expression that represents the statement "Despite the fact that it is sunny today, I will bring my umbrella" is (B) s∧m.
The logical expression that represents the statement "Despite the fact that it is sunny today, I will bring my umbrella" is (B) s∧m. This is because the conjunction "and" (∧) is used to connect two statements that must both be true in order for the overall statement to be true. In this case, both s (It is sunny today) and m (I will bring my umbrella) must be true in order for the statement to be true.
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(B) s∧m, which represents the logical expression for "Despite the fact that it is sunny today, I will bring my umbrella."
The logical operator ∧ (conjunction) connects two propositions and represents the idea of "and." Therefore, s∧m means "It is sunny today and I will bring my umbrella." This is the logical expression that represents the statement given in the question.
To summarize, the correct answer is (B) s∧m, which represents the logical expression for "Despite the fact that it is sunny today, I will bring my umbrella."
Main Answer: The correct logical expression is (B) s∧m.
In the given statement, "Despite the fact that it is sunny today, I will bring my umbrella," both propositions s (It is sunny today) and m (I will bring my umbrella) are true at the same time. The logical expression that represents this is s∧m, which means "s AND m" are both true.
The statement "Despite the fact that it is sunny today, I will bring my umbrella" is best represented by the logical expression (B) s∧m, as it shows that both s and m are true.
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