Answers
Answer: The union of the two intervals is (-∞, ∞) which is the set of all real numbers.
The intersection of the two intervals is [0, 2], which is the set of all numbers that are greater than or equal to 0 and less than or equal to 2.
Step-by-step explanation:
You can visualize this using a number line, with the interval (-∞, 2) represented by the set of numbers to the left of 2 and the interval [0, ∞) represented by the set of numbers greater than or equal to 0. The union of the two intervals would be the entire number line, and the intersection would be the numbers between 0 and 2.
Related Questions
b Write a description of the circuit diagram below.
A4
L
A₁
A3
A₂
Answers
Answer:
the circuit a1 and a3 are parallel to each other
rest of them must be in series
Find the distance between the two points (5, -4) and (3 , 6). Give an exact answer in terms of a square root.
Answers
Answer:
√104.
Step-by-step explanation:
To find the distance between two points (x1, y1) and (x2, y2) in a coordinate plane, we can use the distance formula:
d = √((x2 - x1)² + (y2 - y1)²)
So, for the given points (5, -4) and (3, 6), the distance is:
d = √((3 - 5)² + (6 - (-4))²)
d = √((-2)² + (10)²)
d = √(4 + 100)
d = √104
Therefore, the distance between the two points (5, -4) and (3, 6) is √104.
There is a line that includes the point (0, -20) and has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
PLEASE HELPP!!
Answers
The line that includes the point (0, -20) and has a slope of 1 will be y = x - 20.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The line has a slope of 1. Then the equation of the line is given as,
y = x + c
There is a line that includes the point (0, -20). Then the equation of the line is given as,
- 20 = 0 + c
c = - 20
Then the equation of the line is y = x - 20.
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Jordan has 8 coins in his pocket. They are a combination of dimes and quarters. If they total to $1.25, how many of each coin does he have
Answers
Answer:
q=quarters, d=dimes
q+d=8
.25q+.1d=1.25
Let's set the first equation to equal d.
d=8-q
.25q+.1(8-q)=1.25
Distribute.
.25q+.8-.1q=1.25
Combine Like Terms
.15q+.8=1.25
Subtract .8
.15q=.45
Divide by .15
q=3
Now, let's solve for d in the first equation.
d+3=8
Subtract 3, and you get d=5
So, there are 5 dimes and 3 quarters in Maribel's pocket.
Check: .25(3)+.1(5)=1.25
.75+.5=1.25
1.25=1.25 which is true.
Pls mark me as brainliest!Jordan has 3 quarters and 5 dimes in his pocket that total to $1.25.
Explanation:Let's assume Jordan has x number of quarters and 8 - x number of dimes in his pocket.
Each quarter is worth 25 cents, so the value of the quarters is 25x cents.
Each dime is worth 10 cents, so the value of the dimes is 10(8-x) cents.
The sum of the values of the quarters and dimes should be equal to $1.25, which is 125 cents. So, we can set up the equation: 25x + 10(8-x) = 125.
Simplifying the equation, we get 25x + 80 - 10x = 125. Combining like terms, 15x + 80 = 125. Subtracting 80 from both sides, 15x = 45. Finally, dividing both sides by 15, we find x = 3.
Therefore, Jordan has 3 quarters and 8 - 3 = 5 dimes in his pocket.
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at a factory that produces pistons for cars machine 1 produce 648 satisfactory pistons and 162 and satisfactory Pistons today machine two produced 560 and satisfactory Pistons and 140 unsatisfactory pistons today. Suppose that one piston from machine 1 and one piston from machine 2 are chosen at random from today's batch. what is the probability that the piston chosen from machine 1is satisfactory and the piston chosen from machine 2 is unsatisfactory?
Answers
P(A and B) = P(A) * P(B|A)
where A is the event that the piston chosen from machine 1 is satisfactory and B is the event that the piston chosen from machine 2 is unsatisfactory.
We know that:
- P(A) = 648 satisfactory pistons / (648 satisfactory pistons + 162 unsatisfactory pistons) = 648/810
- P(B|A) = 140 unsatisfactory pistons / (560 satisfactory pistons + 140 unsatisfactory pistons) = 140/700
Therefore,
P(A and B) = (648/810) * (140/700) = 0.097
So, the probability that the piston chosen from machine 1 is satisfactory and the piston chosen from machine 2 is unsatisfactory is 0.097.
The lengths of the legs of a right triangle are 7 in. and 2 in.
What is the length of the hypotenuse?
Enter your answer rounded to the nearest tenth
Answers
Answer: To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. The theorem is written as c² = a² + b², where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
In this problem, we are given that the lengths of the legs of the right triangle are 7 inches and 2 inches. We can substitute these values into the Pythagorean theorem and solve for c, the length of the hypotenuse.
So, we have c² = 7² + 2².
So, c² = 49 + 4
So, c² = 53
Now, we can take the square root of both sides of the equation, since c² = 53, we can say c = √53
To round to the nearest tenth, we look at the digit in the thousandths place (the 3rd digit after the decimal point). Since 3 is greater than or equal to 5, we round up, so c = 7.28, so the hypotenuse is 7.28 inches.
Step-by-step explanation:
Answer:10
Step-by-step explanation: round it together and you get 10
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Alec's parents give him x dollars per month for his allowance. However, since his birthday is
in February, he gets an extra 20% bonus that month.
Pick all the expressions that represent how much Alec's allowance is in February.
x + 0.2x
+
1.2x
*
D
X
⠀
Answers
Alec's parents give him x dollars per month for his allowance. However, since his birthday is in February, he gets an extra 20% bonus that month. The allowance in February can be represented by the expression x + 0.2x because Alec will get the regular allowance of x dollars plus an extra 20% bonus which is equal to 0.2x dollars.
x + 0.2x = Alec's allowance in February
The expression 1.2x is not correct because it represents Alec's allowance multiplied by 1.2 which is not the same as the allowance plus the bonus.
So the correct answer is x + 0.2x.
Which point is a solution to the system of linear equations? y = −x + 3 x − 3y = 15? (−1, 5) (0, 3) (3, 0) (6, −3)
Answers
( 3, 0 ) is a solution to the system of linear equations .
What is a linear equation explain?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. When an algebraic equation is graphed, a linear equation always produces a straight line since each term has an exponent of 1.
y = −x + 3
( 3, 0 ) Put in equation
0 = - 3 + 3
0 = 0
− 3y = 15
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Three softball players discussed their batting averages after a game.
................Probability
Player 1: four sevenths
Player 2: five eighths
Player 3: three sixths
By comparing the probabilities and interpreting the likelihood, which statement is true?
A. Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
B. Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)
C. Player 3 is more likely to hit the ball than Player 1 because P(Player 3) > P(Player 1)
D. Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)
Answers
Answer:
B. Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)
Step-by-step explanation:
This statement is true because the probability of Player 2, which is five eighths, is greater than the probability of Player 1, which is four sevenths. It is important to note that in order to compare the probabilities, it is necessary to convert the fractions to a common denominator. In this case, the common denominator is 56, then we can say that P(Player 2) = 35/56 and P(Player 1) = 28/56. Since 35/56 > 28/56, it is more likely that Player 2 will hit the ball than player 1.
Answer: B: Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)
Step-by-step explanation:
A table of values of a linear function is shown below.
y
slope:
y-intercept:
equation:
Find the slope and y-intercept of the function's graph, and find the equation for the function.
Answers
Answer:
The slope is -1
The y-intercept is -8
The equation is y = -x -8
Step-by-step explanation:
The slope is the change in y over the change in x. As the y is decreasing by 1. The x is increasing by 1
-1/1 = -1
The slope is -1.
The y-intercept is the y value when the x value is 0. When x = 0, y = -8
The y-intercept is -8.
y = mx + b
y = -1x - 8 I don't nee the 1 so I am going to write it without it.
y = -x - 8
in 2000 the population of Africa was 807million and by 2011 it had grown to 1052million.find the exponential growth function that models the data
Answers
Study finds that Africa’s population increased by over 1 billion, from 228.7 million in 1950 to 1.341 billion in 2020: 431 million in Eastern Africa; 404 million in Western Africa; 247.5 million in Northern Africa; 193.5 million in Middle Africa; and 64.5 million in Southern Africa.
When it get populated?
Exponential Decay APPLICATION The half-life of strontium-90 is 28 years, meaning that after 28 years a given amount of the substance will have decayed to half the original amount. Application In 2000, the population of Africa was 807 million and by 2011 it had grown to 1052 million. Use the exponential growth model in which t is the number of years after 2000, to find the exponential growth function that models the data. The model isApplication continued:- By which year will Africa’s population reach 2,000 million. Use the exponential growth function model: to find how long it will take to reach a population of 2,000 million.
Nigeria is forecast to become the world’s third-biggest country – after India and China – with 405 million people. The main reason for these demographic trends is Africa’s high fertility rate compared with other regions
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A package of 5 pairs of insulated gloves costs $26.95. What is the unit price of the pairs of gloves?
Answers
Answer:
$5.93
Step-by-step explanation:
26.95/5=5.93
Last time it said 14 was wrong, is 14.1 correct?
Quadrilateral GHIJ is similar to quadrilateral KLMN find the measure of side MN
Answers
Answer: I believe 14.1 should be correct
Step-by-step explanation:
Given that we know one side length is 52 and the other is 21, we can use these values to create a scale.
52/21 = 2.4761, so we know that all sides will decrease by a scale of this value.
Given that, we can find the length of the MN. 35/2.4761 = 14.135
The question asks to round to the nearest tenth, so the answer should be 14.1. hope this helps!
2 irrational numbers that add up to 2
Answers
Answer:
An example of two irrational numbers that add up to 2 are √2 and √2 - 2.
√2 is an irrational number as it cannot be expressed as a ratio of two integers.
√2 - 2 is also an irrational number as it is the difference of two irrational numbers.
Both √2 and √2 - 2 are irrational numbers and √2 + (√2 - 2) = √2 + √2 - 2 = 2
So, √2 and √2 - 2 are two irrational numbers that add up to 2.
