The points that are 4 units apart are B and D
Complete questionWhich points are 4 units apart? On a coordinate plane, point A is at (-2, 4), point B is at (3, -6), point C is at (-1, 0), point D is at (3, -2).
B and C
C and D
A and C
B and D
How to determine the points?To do this, we simply calculate the distance using the following equation
\(d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2\)
Using the given points, we have:
\(BC = \sqrt{(3+ 1)^2 + (-6 -0)^2} = 7.2\)
\(CD = \sqrt{(-1 - 3)^2 + (0 +2)^2} = 4.5\)
\(AC = \sqrt{(-2 + 1)^2 + (4 -0)^2} = 4.1\)
\(BD = \sqrt{(3 - 3)^2 + (-6 +2)^2} = 4\)
Hence, the points that are 4 units apart are B and D
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What is x^2 -11x+19=-5 as standard form?
Answer:
Standard Form; x^2 - 11x + 24 = 0
Step-by-step explanation:
Simplify rewrite such that the quadratic equation has 0 isolated on the right or left side, most commonly right side;
x^2 - 11x + 19 = - 5 ⇒ Add 5 on either side of equation,
Standard Form; x^2 - 11x + 24 = 0
the question is in the picture
Answer:
should also = 35* if I'm not mistaken
Step-by-step explanation:
if this is wrong I'm very sorry. if no one else helps u with in the next 10 mins I suggest using socratic, it helps me
A bird watcher on a cliff spotted a kingfisher 7 m above him.
Earlier he had seen it 11m below. What was the kingfisher’s
change in altitude?
Answer:
18 m
Step-by-step explanation:
11m + 7m is 18m
The final answer is 18m
The change in altitude of the kingfisher is 18 m.
What is the altitude length?The length of the altitude, often simply called "the altitude", is the distance between the extended base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex.
Suppose the distance above the cliff is represented by a positive integer.
Then the distance below it is represented by a negative integer.
Thus, change in altitude of the kingfisher
= 7-(-11)
= 7+11
= 18 m
Hence, the change in altitude of the kingfisher is 18 m.
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Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.The distribution of grades was left-skewed, but the mean, median, and mode were all the same.A.This does not make sense because the mean and median should lie somewhere to the right of the mode if the distribution is left-skewed.B.This makes sense because when outliers have low values, the mean, median, and mode are the same.C.This does not make sense because the mean and median should lie somewhere to the left of the mode if the distribution is left-skewed.D.This makes sense because when outliers have high values, the mean, median, and mode are the same.
The statement "This does not make sense because the mean and median should lie somewhere to the right of the mode if the distribution is left-skewed" is correct. The correct answer is B
In a left-skewed distribution, the mode is the highest point and it is located to the right of the median, which in turn is located to the right of the mean.
This is because the mean is influenced by extreme values on the left tail, which pull it to the left, whereas the median is unaffected by extreme values and is only determined by the middle value(s) in the data set.
Thus, if the mean, median, and mode are all the same in a left-skewed distribution, this indicates that the data set is either symmetric or approximately symmetric.The correct answer is B
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A discrete random variable X has mean μ=28 and standard deviation σ=9. What is the expected value of X? Not enough information to determine. 14 9 28 A manufacturing machine has a 4% defect rate. If 3 items are chosen at random, what is the probability that at least one will have a defect? Round result to four decimal ploces. Recall: P(x is at least one )=1⋅P (none ) P(x>=1)=1⋅P(x=0)
We find that the probability of at least one defect is approximately 0.1158.
The expected value of a discrete random variable is equal to its mean. Therefore, in this case, the expected value of X is 28.
To calculate the probability that at least one out of three randomly chosen items will have a defect, we can use the complement rule. The complement of "at least one defect" is "no defects." The probability of no defects occurring is equal to the probability of each item being defect-free, raised to the power of the number of items.
Since the defect rate is 4%, the probability of an item being defect-free is 1 - 0.04 = 0.96. Thus, the probability of no defects in one item is 0.96. To find the probability of no defects in all three items, we multiply this probability by itself three times: 0.96^3.
To find the probability of at least one defect, we subtract the probability of no defects from 1: 1 - 0.96^3. Evaluating this expression gives us the probability that at least one item will have a defect.
Calculating this probability, rounded to four decimal places, we find that the probability of at least one defect is approximately 0.1158.
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Each table at a restaurant can seat 4 people. If a group of 11 people needs to be seated, how many tables will be needed?
A. 1
B. 4
C. 2
D. 3
Answer:
d
Step-by-step explanation:
One-third of a number yields twelve. Which equation could be used to find the number?
1/3 n= -12
1/3 n = 12
3 n = 12
3 n = -12
Answer:
1/3n=12
Step-by-step explanation:
The reason why it is 1/3n=12, is because you know that the number in front of n is 1/3. By figuring that out, you have already ruled out 3n=12 and 3n=-12. Finally, you know that 12 is a positive number leaving you with 1/3n=12.
1. You and two friends go to the ice cream parlor. The flavors are Strawberry, Mexican Vanilla, Rocky Road, Belgian Chocolate, Salted Caramel, and Bratwurst. Assuming each of you orders one different flavor, how many outcomes are possibly?
2. (part 1) The combination for your locker contains 3 non-repeating digits from the numbers 0-9. How many possible locker combinations exist?
(part 2) what would the answer to #2 be if you absolutely choose 9 as your first answer?
3. After 100 trials of flipping a coin twice, you got the result of HH (heads, heads) 25 times. Is the experimental probability of getting HH greater than, less than, or equal to the theoretical probability of getting HH? How do you know?
4. You roll a standard number cube, flip a coin, then roll a standard number cube. Which of the following could represent this compound event? Choose all that apply.
a. (6,H,7)
b. (T,3,4)
c. (6,H.6,T)
d. (1,T,1)
e. (H,H,3)
(a) (6, H, 7) is not a possible outcome because the sum of the two numbers rolled on the number cube cannot be 7 if the first number rolled is 6.
(b) (T, 3, 4) is a possible outcome because the first outcome is tails, the second outcome is 3, and the third outcome is 4.
(c) (6, H, 6, T) is not a possible outcome because the third outcome cannot be both 6 and T at the same time.
(d) (1, T, 1) is a possible outcome because the first and third outcomes are both 1 and the second outcome is tails.
(e) (H, H, 3) is not a possible outcome because the third outcome cannot be 3 if the first two outcomes are both heads.
What is Probability?
Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.
Since each of the three people orders a different flavor, the first person has 6 choices, the second person has 5 choices (since one flavor has already been chosen), and the third person has 4 choices (since two flavors have already been chosen). The total number of outcomes is the product of these numbers:
6 × 5 × 4 = 120
Therefore, there are 120 possible outcomes.
(part 1) There are 10 options for the first digit, 9 options for the second digit (since one digit has already been chosen), and 8 options for the third digit (since two digits have already been chosen). The total number of combinations is the product of these numbers:
10 × 9 × 8 = 720
Therefore, there are 720 possible locker combinations.
(part 2) If you absolutely choose 9 as your first digit, then there are only 9 options for the first digit. The second and third digits can still be any of the remaining 9 digits (since digits cannot repeat). Therefore, the number of possible combinations is:
1 × 9 × 8 = 72
The theoretical probability of getting HH on two coin flips is (1/2) × (1/2) = 1/4 = 0.25. The experimental probability of getting HH after 100 trials is 25/100 = 0.25. Since the experimental probability is equal to the theoretical probability, we can say that the experimental probability of getting HH is equal to the theoretical probability.
The possible outcomes of rolling a standard number cube are 1, 2, 3, 4, 5, and 6. The possible outcomes of flipping a coin are heads (H) or tails (T).
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What is the measure of angle C?
Answer:
Hope this will help you
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The system of equations formed by the linear equation x = 2 · y + 5 and the quadratic equation y = (2 · x - 3) · (x + 9). (Correct choice: C)
How many ordered pairs does a system of equations have?
In this problem we find a system formed by two equations: a linear function and a quadratic equation. The number of possible ordered pairs is equal to the maximum grade between the polynomials. The grade for linear functions is 1 and the grade for quadratic equations is 2. Then, there are two possible ordered pairs that satisfies the system of equations.
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Every morning Jim runs for 15 minutes. If Jim runs 4 miles per hour, how far does Jim travel? Use the equation d=rt, where d is distance, r is rate, and t is time.
Which approach to probability is exemplified by the following formula? Probability of an Event= Number of favourable Outcomes /Total number of possible outcome A) Classical approach B) Empirical approach C) Subjective approach D) None of the above
The approach to probability exemplified by the formula Probability of an Event = Number of favourable Outcomes / Total number of possible outcomes is the Classical approach to probability.
The Classical approach to probability is based on the assumption of equally likely outcomes and is often used when dealing with simple and well-defined experiments or situations. It involves counting the number of favorable outcomes (those that satisfy the desired condition) and dividing it by the total number of possible outcomes. This approach assumes that all outcomes have an equal chance of occurring.
In contrast, the Empirical approach involves conducting experiments or observations to gather data and estimate probabilities based on the observed frequencies. The Subjective approach relies on personal judgments or subjective assessments of probabilities based on individual beliefs or opinions.
Therefore, the correct answer is A) Classical approach.
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\(\frac{5\sqrt{7} }{\sqrt{35} }\)
The simplified expression of the radical expression given as 5√7/√35 is 7
How to evaluate the expression?From the question, we have the following expression that can be used in our computation:
5√7/√35
The above expression is a fraction and at the same time it is a radical expression
The denominator of the fraction is √35
So, we start by rationalizing the expression by the fraction
This is represented as
5√7/√35 = 5√7/√35 * √35/√35
Evaluate the products of the numerator
So, we have the following representation
5√7/√35 = 5√245/√35 * 1/√35
Evaluate the products of the denominator
So, we have the following representation
5√7/√35 = 5√245/35
Simplify the fraction
This gives
5√7/√35 = √245/7
Simplify the fraction
5√7/√35 = 7√5/7
So, we have
5√7/√35 = 7
Hence, the simplified expression is 7
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A bookstore had 90 copies of a magazine. Yesterday, it sold 1/6 of them. Today, it sold 2/5 of the remaining copies. How many copies does the bookstore still have
Therefore , the solution of the given problem of unitary method comes out to be 45 copies of the magazine are still available at the bookstore.
Definition of a unitary method.Use the tried-and-true core approach, the real variables, nor any useful information you learn from the general and detailed questions to finish the project expression. Customers may be given another chance to taste the products in response. If these improvements don't happen, we'll miss out on significant advancements in programming comprehension.
Here,
Let's figure out how many issues of the magazine are still available in the store.
Given: There were 90 copies in all when the bookstore opened.
1/6 of the total copies were sold at the bookstore yesterday.
=> 15 copies were sold yesterday = (1/6) * 90.
=> Total copies - Copies sold yesterday = 90 - 15 = 75 Remaining copies after yesterday's sale
=> 2/5 of the remaining copies were sold in the bookstore today.
30 copies were sold today, which
=> (2/5) * 75.
The quantity of copies left after today's sale equals the quantity left after yesterday's sale. - Today's sales of copies:
=> 75 - 30 = 45
45 copies of the magazine are still available at the bookstore.
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first-yearice. Glve a prackian inturpletusion of the resuits. Construct a 00% confidence interval around the sample proportion of ice mett ponds with frst-year ice. (Riound to four decimal places as needed.) Interpeet the confidence insirval practically. Choose the correct answer below. A. Since 15% is in the interval, one can be 10% conficent the true proportion of ice meit ponds in the region with frstyear ice is isN. 8. One can be 90% confident the true proportion or ice melt ponds in the region with firstryear ice is within the above interval, though it is probaby not ish. c. One can be so\% confident the true proportion of ice melt ponds in the region with firslyear ice les at the mean of the above nterval, rather than at 15%. D. One can be 00% conffent the true proportion of ice mel ponds in the region with frst-year ioe is within the above interval, and there is a 90% chance it is 15%. E. Since 15% is not in the interval, one can be 90% confident the true prepertion of ice meit ponds in eve reglon wath frulyear ice is not is\%.
The given information shows the sample data for estimating the proportion of ice melt ponds in the region with first-year ice: Sample size: 122 Number of ponds with first-year ice: 18 Number of ponds with only multiyear ice: 72 Sample proportion with first-year ice: 0.14754098
The sample size is large enough and the condition n × p ≥ 10 and n × (1 − p) ≥ 10 are met, where n is the sample size and p is the sample proportion. The formula for the 95% confidence interval for the population proportion is:
(p - E, p + E), where E = zα/2 × √(p(1-p)/n)
Here, α = 0.05 and the corresponding zα/2 value can be found from the standard normal distribution table as 1.96.
Hence, the 95% confidence interval is: p - E = 0.14754098 - 0.04727347 = 0.10026751
p + E = 0.14754098 + 0.04727347 = 0.19481445
Rounding to four decimal places, the 95% confidence interval is (0.1003, 0.1948).
Therefore, the correct answer is option B: One can be 90% confident the true proportion of ice melt ponds in the region with first-year ice is within the above interval, though it is probably not 15%.
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Please help with this
Answer:
c^2 + 3c - 40
Step-by-step explanation:
Here we are finding the product of (C+8) and (C-5). We use the FOIL method to expand this (multiplying in the order of First, Outer, Inner, Last).
(c + 8) ( c - 5)
c * c is c ^2 due to an unknown variable.
C * 8 is 8c
c * -5 is -5c
8 * -5 is -40
Now, we combine like-factors and end up with;
c^2 + 3c -40
Thank you for posting this question! If it fits suit, please mark Brainliest. If you have any other questions let me know :)
Step-by-step explanation:
answer is option D is the correct answer of this question
I WILL GIVE 100 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. Identify all the numbered angles that are congruent to the given angle.List the numbers of any angles that are congruent to the given angle.
Answer:
Angle 1,4 and 7
Step-by-step explanation:
I know I know
Answer:
lol
Step-by-step explanation:
lololololol
Given the demand function,
Q=54−5P+4PA+0.1Y,
where Q is the quantity of chocolate demanded, P is the price of chocolate, PA is the price of an apple and Y is income, find:
(i) the own price elasticity of demand for chocolate
(ii) the cross price elasticity of demand (
iii) the income elasticity of demand where P=3,PA =2 and Y=100. Comment on the economic significance of your answers.
The income elasticity of demand is positive, implying that chocolate is a normal good = 0.037
The demand function, Q = 54−5P + 4PA + 0.1Y.
Where Q is the quantity of chocolate demanded, P is the price of chocolate, PA is the price of an apple, and Y is income.
(i) The own-price elasticity of demand for chocolate, we first need to find the expression for it.
The own-price elasticity of demand can be expressed as:
Own-price elasticity of demand = (Percentage change in quantity demanded) / (Percentage change in price)Or,E
P = (ΔQ / Q) / (ΔP / P)E P = dQ / dP * P / Q
Let's calculate the own-price elasticity of demand:
EP= dQ / dP * P / Q= (-5) / (54 - 5P + 4PA + 0.1Y) * 3 / 30
= -0.1667
So, the own-price elasticity of demand for chocolate is -0.1667.
(ii) The cross-price elasticity of demand, we must first determine the expression for it.
The cross-price elasticity of demand can be expressed as:
Cross-price elasticity of demand
= (Percentage change in quantity demanded of chocolate) / (Percentage change in price of apples) Or, E
PA = (ΔQ / Q) / (ΔPA / PA)E PA = dQ / dPA * PA / Q
Let's calculate the cross-price elasticity of demand:
EP = dQ / dPA * PA / Q= (4) / (54 - 5P + 4PA + 0.1Y) * 2 / 30= 0.0296
So, the cross-price elasticity of demand is 0.0296.
(iii) The income elasticity of demand can be expressed as:
Income elasticity of demand = (Percentage change in quantity demanded) / (Percentage change in income)Or,E
Y = (ΔQ / Q) / (ΔY / Y)E Y = dQ / dY * Y / Q
Let's calculate the income elasticity of demand: EY = dQ / dY * Y / Q= (0.1) / (54 - 5P + 4PA + 0.1Y) * 100 / 30
= 0.037
The own-price elasticity of demand is negative, meaning that the quantity demanded of chocolate decreases when the price of chocolate increases.
The cross-price elasticity of demand is positive, indicating that chocolate and apples are substitute goods.
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Write the equation in standard form for the circle passing through ( – 2,4) centered at the origin.
To write the equation in standard form for the circle passing through (–2, 4) centered at the origin, we need to find the radius and the center of the circle.
Since the circle passes through (–2, 4), we can use the distance formula to find the radius, which is the distance from the origin to (–2, 4).
The distance formula is given by:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, x1 = 0, y1 = 0, x2 = –2, and y2 = 4. So, the radius is:
radius = sqrt((-2 - 0)^2 + (4 - 0)^2) = sqrt(20) = 2sqrt(5)
The center of the circle is the origin, since the circle is centered at the origin. Therefore, the equation of the circle in standard form is:
x^2 + y^2 = (2sqrt(5))^2 = 20
So, the equation of the circle passing through (–2, 4) centered at the origin is x^2 + y^2 = 20.
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What can you say about a sample mean or a sample proportion being about 2 ses away from the population mean or the true proportion? what can you not say?
When we have a normal model for the sampling distribution, we cannot say that a sample mean or sample proportion is approximately 2 standard errors (ses) away from the population mean or the true proportion.
Instead, we can say that 95% of the sample proportions fall within two standard errors of the population proportion. Similar to this, the percentage of sample proportions decreases as the standard error distance decreases and increases as the standard error distance increases.
Therefore, the standard error distance will be greater than 2 standard errors (ses) if 99% of the sample proportions are within a given standard error distance of the population proportion.
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Please help me solve for X
I'll give brainlyest
Answer:
1. x = 8
2. x = 12
3. x = 11
4. x = 6
Step-by-step explanation:
1.
102 + 102 = 204
360 - 204 = 156
156 / 2 = 78
78 = 10x - 2
78 + 2 = 10x
80 = 10x
80 / 10 = x
x = 8
2.
81 = 7x - 3
81 + 3 = 7x
84 = 7x
84 / 7 = x
x = 12
3.
77 = 6x + 11
77 - 11 = 6x
66 = 6x
66 / 6 = x
x = 11
4.
115 + 115 = 230
360 - 230 = 130
130 / 2 = 65
65 = 8x + 17
65 - 17 = 8x
48 = 8x
48 / 8 = x
x = 6
Find the equation of the line that passes through the given points. Write the equation in slope-intercept form.
(-2,-4) and (-4,-3)
Step-by-step explanation:
m=(y1-y)/(x1-x2)
m=(3-(-4))/(-4-(-2))
m=7/-2=-7/2
y=mx+c
y=-7/2x+c
The number of hours a lightbulb burns before failing varies from bulb to bulb. The population distribution of burnout times is strongly skewed to the right. The central limit theorem says that
The average burnout time of a large number of bulbs has a sampling distribution that is close to the normal is known as central limit theorem states.
What is Population Distribution?The Population Distribution is a form of a probability distribution that measures the frequency with which the items or variables that make up the population are drawn or expected to be drawn for a given research study.
In statistics, the frequency (or absolute frequency) of an event can be said as the number of times the observation has occurred/recorded in an experiment or study.
Probability in statistics denotes the possibility of the outcome of any random event. The term means to check the extent to which any event is likely to happen.
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1. What position in the distribution corresponds to a z-score of =1.20? A. Below the mean by 1.20 points B. Selow the mean by a distance equal to 1.20 standard deviations C. Above the mean by 1.20 points D. Above the mean by a distance equal to 1.20 standard deviations
The correct answer is option D. Above the mean by a distance equal to 1.20 standard deviations .What is z-score? A z-score is also known as the standard score and is used to calculate the probability of a score occurring within a normal distribution's distribution.
It is a measure of how many standard deviations a data point is from the mean. It is denoted by the letter “Z.”Z-score calculation formula isz = (x- μ) / σ Where,
x = Score
μ = Mean
σ = Standard deviation
In this question, the z-score given is 1.20, which means it is 1.20 standard deviations above the mean. Therefore, option D. Above the mean by a distance equal to 1.20 standard deviations is the correct answer to the given question.
A z-score is the number of standard deviations that a data point is from the mean of a distribution. To solve this problem, we'll first need to determine the position in the distribution that corresponds to a z-score of 1.20. The formula for calculating z-score is z = (x - μ) / σwhere z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation. Using this formula, we can solve for the raw score that corresponds to a z-score of 1.20. We know that the z-score is 1.20, so we can substitute that value in for z:1.20 = (x - μ) / σWe also know that the mean is 0 (since z-scores are calculated based on a standard normal distribution with a mean of 0 and a standard deviation of 1), so we can substitute that value in for μ:1.20 = (x - 0) / σSimplifying the equation,
we get: 1.20σ = x Now we know that the raw score is equal to 1.20 standard deviations above the mean. So the correct answer is D. Above the mean by a distance equal to 1.20 standard deviations.
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as part of video game, the point (5,2) is rotated counterclockwise about the origin through an angle of 5 degrees. find the new coordinates of this point
The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).
To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:
x' = x * cos(theta) - y * sin(theta)
y' = x * sin(theta) + y * cos(theta)
Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.
Converting the angle of rotation from degrees to radians:
theta = 5 degrees * (pi/180) ≈ 0.08727 radians
Plugging in the values into the rotation formula:
x' = 5 * cos(0.08727) - 2 * sin(0.08727)
y' = 5 * sin(0.08727) + 2 * cos(0.08727)
Evaluating the trigonometric functions and simplifying:
x' ≈ 4.993
y' ≈ 2.048
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1. 4 times the sum of x and 2
4(x+2)
hope this helps
Let f(x)=3x-7 and g(x)=2x². Perform the function operation and then find the domain of the reult
The Correct option is A, the domain of the result is the domain of f-g is the set of all real numbers .
We have,
f(x) = 3x - 7
g(x) = 2x²
Solve (f-g)(x), we get
(f-g)(x) = 3x - 7 - (2x²)
(f-g)(x) = 3x - 7 - 2x²
(f-g)(x) = - 2x² + 3x - 7
Real numbers are a type of mathematical numbers that can be either positive, negative, or zero, and can be expressed as a decimal or fraction. Real numbers are used to describe continuous quantities, such as length, weight, and time. Real numbers are also used in algebra, calculus, and geometry. The set of real numbers is denoted by using the symbol R. The real numbers include rational numbers (numbers that can be expressed as a fraction), and irrational numbers (numbers that cannot be expressed as a fraction).
Real numbers are also used in various mathematical models and equations to make predictions and solve problems. Examples of real numbers include pi, e, and the square root of 2. The real numbers can also be visualized on the number line, where each real number is assigned a unique point. In conclusion, real numbers are a fundamental part of mathematics and play a crucial role in various fields.
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Complete Question: -
Let f(x)=3x-7 and g(x)=2x². Perform the function operation and then find the domain of the result.
(f-g)(x)= ?
What is the domain of (f-g)(x)?
A. The domain of f-g is the set of all real numbers .
B. The domain is f-g is the set of all x ≤ 0.
C. The domain is f-g is the set of all x ≥ 0.
D. The domain of f-g is the set of all real numbers except x=0.
What is the measure of
Answer:
measure of whaaaaaaaaaaaaaaaaaaaa tttttt?
How many fluid ounces in a tablespoon
By rewriting a relation we will see that there are 0.5 fluid ounces in a tablespoon.
How many fluid ounces are in a tablespoon?We know the relation between the different units:
1 fluid ounce = 2 tablespoons.
To see how many fluid ounces are in a tablespoon, we just need to work with the relation above and write "1 tablespoon" on the right side.
So if we take our relation:
1 fluid ounce = 2 tablespoons.
And we divide both sides by 2 then we will get:
1/2 fluid ounce = 2/2 tablespoons.
0.5 fluid ounces = 1 tablespoon.
then we can conclude that there is 0.5 fluid ounces in a tablespoon.
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need help A S A P NOWWWWW
Answer:
x = 73
Step-by-step explanation:
The measure of the sum of the arcs in a circle = 360°.
Sum the given arc measures and equate to 360, that is
95 + 52 + 67 + 2x = 360
214 + 2x = 360 ( subtract 214 from both sides )
2x = 146 ( divide both sides by 2 )
x = 73