Why do we use parenthesis if an interval is infinite on both boundries?
Answers
We use parenthesis if an interval is infinite on both boundries in order to exclude end-points .
Square brackets mean the set of all points from a to b .
If we use square brackets , it would mean we are including - infinity and + infinity , which is practically impossible .
When we , use parenthesis only the nos . lying between the two points are taken into consideration , the two points are not included .
So , we use parenthesis to exclude - infinity and + infinity .
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Related Questions
Evaluate. Please help me:)
Answers
Answer:
x = −5 /2
Step-by-step explanation:
The figure below is a net for a right rectangular prism.
11 m
13 m
11 m
7 m
11 m
11 m
What is the surface area of the right rectangular prism, in square meters?
Answers
The surface area of the right rectangular prism is given as follows:
358 m².
How to obtain the surface area?The surface area of a prism is obtained with the sum of the areas of each part of the prism.
The parts that compose the prism are given as follows:
Two rectangles of dimensions 7 ft and 12 ft.Two rectangles of dimensions 5 ft and 12 ft.Two rectangles of dimensions 5 ft and 7 ft.The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.
Hence the surface area of the prism is calculated as follows:
S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².
(multiplication by two due to the two rectangles with each of the dimensions).
Missing InformationThe prism is given by the image shown at the end of the answer.
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Select the correct answer.
What is this expression in simplest form?
1/2x^2-4x - 2/x
A. 4x-7/2x(x-2)
B. -4x+9/2x(x-2)
C. -1/2x(x-2)
D. -3x-8/2x(x-2)
Answers
Answer:a A. 4x-7/2x(x-2)
got it right on the test
Step-by-step explanation:
You are studying 112 returning combat veterans with deployment related injuries. You are testing a cognitive impairment screen to detect traumatic brain injuries (TBI). There are six veterans with confirmed TBI and five of them screen positive. There are 93 veterans who do not have TBI and screen negative. There are a total 18 veterans who screen positive. One of the veterans has a negative screen and wants to know the probability that he does not have a TBI. You tell him:_________
Answers
Answer:
0.9894 = 98.94% probability that he does not have a TBI.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Negative screen
Event B: Does not have a TBI.
Probability of a negative screen:
93 are negative and do not have a TBI.
1 is negative and has a TBI.
Out of 112.
So
\(P(A) = \frac{93+1}{112} = \frac{94}{112}\)
Probability of a negative screen and not having a TBI:
93 are negative and do not have a TBI, out of 112, so:
\(P(A \cap B) = \frac{93}{112}\)
One of the veterans has a negative screen and wants to know the probability that he does not have a TBI.
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{93}{112}}{\frac{94}{112}} = \frac{93}{94} = 0.9894\)
0.9894 = 98.94% probability that he does not have a TBI.
Kurt has nickels and dimes in a jar. The ratio of nickels to dimes is 4 to 5. He has a total of 135 coins in the jar. Each nickel has a mass of 5.0 grams, and each dime has a mass of 2.3 grams.
1,000 grams is approximately 2.2 pounds
What is the approximate weight, in pounds, of the coins in Kurt's jar? Round the answer to the nearest tenth.
Answers
Answer:
1.
Step-by-step explanation:
1) if the ratio is 4:5, then the number of nickels is 60, the number of dimes is 75 (it is calculated from the equation 4x+5x=135);
2) the mass of all the nickels is 60*5=300 [gr], the mass of all the dimes is 75*2.3=172.5 [gr]. Then the mass of all the coins is 172.5+300=472.5 [gr].
3) if 1000 [gr] is 2.2 [pnd], then 472.5 [gr] is 1.0395 [pnds], it approximately is 1 pound.
Suppose that you have at your disposal a software package that solves a square nonsingular system of equations Cx=d. Assume that the package either finds the unique solution of Cx=d or terminates with an error message if C is singular. Given an m×n matrix A of rank n and an m -vector b, briefly describe in words how you would use the package to find whether or not the equations Ax=b are compatible, and if they are, compute a solution x. Comment briefly on the uniqueness of a solution if one exists.
Answers
The equations Ax = b are not compatible.
What do you mean by equation?It is represented by an equal sign (=) and is used to solve for unknown values or to describe relationships between variables. Equations can be simple or complex, involving basic arithmetic operations or advanced mathematical concepts like trigonometry and calculus.
An equation can be used to solve for a single unknown value, for example, the equation 2x + 3 = 7 can be solved for x by subtracting 3 from both sides, giving us 2x = 4 and then dividing both sides by 2, giving us x = 2. In this example, x = 2 is the solution to the equation.
To determine whether the equations Ax = b are compatible and to compute a solution x, you would first form the augmented matrix [A|b]. Then, you would perform row operations on [A|b] to reduce it to an upper triangular matrix [C|d]. Finally, you would use the software package to solve the square system of equations Cx = d.
If the software terminates with an error message, it means that C is singular, and the equations Ax = b are not compatible. If the software finds the unique solution of Cx = d, it means that the equations Ax = b are compatible and that the solution x is unique. However, it is important to note that the uniqueness of the solution depends on the rank of A being equal to n. If the rank of A is less than n, the equations are not compatible, and if the rank of A is greater than n, the equations have infinitely many solutions.
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There are two solutions for the quadratic equation, 9x^2 + 4 = 0. Which of the choices below describes the solutions.
A. One real and one complex solution
B. Two real solutions
C. Two complex solutions.
Answers
Answer:
C. Two complex solutions.
Step-by-step explanation:
\(1. \ 9x^2+4=0;\\x^2=-\frac{4}{9};\\x=_-^+ \frac{2}{3} i;\)
2. two complex solutions, the correct answer is C.
I need to know it please
Answers
Answer:
63 cm²
Concept used:
Area of a parallelogram = b · h
(b: base and h: height of the parallelogram)
Step-by-step explanation:
The given figure is a parallelogram.
Required Area = 9 * 7
= 63 cm²
A hot air balloon rises an initial 525
feet and later descends 145 feet.
What is the balloon's new height
Answers
Answer:
380ft
Step-by-step explanation:
Assuming the balloon rises 525ft from sea level (0ft), all we need to do is subtract both numbers to find the new height.
525 - 145 = 380ft
There could be many different scenarios though because if the question provides the height of land off sea level, you would have to take that into account as well.
Best of Luck!
How many solutions does the following equation have ?
−3x+9−2x=−12−5x
Answers
\(\text{Solve for x:}\\\\-3x+9-2x=-12-5x\\\\\text{Combine like terms}\\\\-5x+9=-12-5x\\\\\text{Add 5x to both sides}\\\\9=-12\\\\\text{Since that's not valid, there would be no solutions}\\\\\boxed{\text{No solutions}}\)
please help me asap (picture is included) (:
Answers
Answer:
d
Step-by-step explanation:
11+x= -2 x 3
11+x=-6
x=-6-11
x=-17
(Diversifying Portfolios MC)
worth points)
Name of Stock Symbol High Low Close
Stock A
105.19 103.25 103.38
Stock B
145.18 143.28 144.05
A
B
Last year, an investor purchase
difference in overall loss or ga
O The difference in overall gain is $207.00.
O The difference in overall loss is $207.00.
O The difference in overall loss is $200.70.
O The difference in overall gain is $200.70.
shares of stock A at $90 per share and 75 shares of stock B at $145 per share. What is the
ween selling at the current day's high price or low price?
Answers
The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.
To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.
Stock A:
High price = $105.19
Low price = $103.25
Close price = $103.38
Stock B:
High price = $145.18
Low price = $143.28
Close price = $144.05
The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.
To calculate the selling prices, we need to multiply the number of shares by the respective selling price.
Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50
Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50
Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50
Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00
Now, let's calculate the difference in overall gain or loss:
Difference in overall gain = Selling price at the high price - Selling price at the low price
= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)
= $16,148.00 - $15,908.50
= $239.50
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First 5 terms 3 8 13 18 23 explain why 387 is not a term of the sequence
Answers
Answer:
I believe it’s because they were adding by 5 with each number in the sequence.
Step-by-step explanation:
if you take 3+_= 8 what goes in the missing spot? 5 would, so we look at the next number and see if it’s a pattern. 13 so 8+_= 13 we know that’s 5 as well. So there’s a pattern of +5 hence why 7 is not part of the sequence.
A dress that normally sells for $50 is on sale for $10. What is the percent decrease in the price?
Answers
Answer:
80%
Step-by-step explanation:
So the dress originally sold for $50, and it went down by $40 to reach $10. So, because it went down by $40, the way we figure out the percentage we need to figure out the fraction. The fraction is 40/50. So if a percentage is a fraction out of 100, then 40/50 is 80/100. The dress dropped by 80%.
Find the inverse of each of the given functions.
f(x)=4x-12
DONE
+
h(x)
O
O
H
2x - 4
3
h¯¹(x) = 3x - 12
2
h¯¹(x) =
h"¹(x) =
DONE
3
(2x - 4)
3x + 4
2
Answers
Answer:B
Step-by-step explanation:
You paid $32.00 for 8 gallons of gasoline. How much would you pay for 10
gallons of gasoline?
Answers
Answer:
Divide 28 by 8. the answer is $3.50. That’s the money you pay per gallon. Multiply 3.50 by 15 and the final answer is: 52.50
Step-by-step explanation:
Please help will mark Brainly
Answers
The number of tickets day and evening combined should be more then 8 since it says at least 8 tickets. However the cost of the tickets which is 15x+30y (multiply the amount of tickets bought by the cost) should be less then 300 bucks since they have a budget. Hope this helps!
Sherelle and Venita find two bags of coins in their grandmother’s attic. Each girl selects a bag, takes a random sample of 20 coins from that bag, and lists the dates of those coins as the number of years since 1900. Here are the results.
Sherelle: 72, 56, 81, 84, 75, 26, 39, 62, 65, 66, 85, 71, 74, 68, 73, 66, 83, 60, 58, 72
Venita: 45, 65, 73, 57, 79, 66, 69, 75, 51, 44, 53, 69, 58, 77, 51, 55, 53, 78, 70, 62
1.Find the five-number summary of each data set. Then construct box-and-whisker plots of the data sets. Draw both plots above the same number line. Label the plots with the girls’ names.
Answers
Answer:
Step-by-step explanation:
Hello!
The five-number summary comprehends the minimum and maximum values, the 1st and 3rd quartiles and the median.
1st step: is to arrange the data sets from least to greatest.
Sherelle:
26 39 56 58 60 62 65 66 66 68 71 72 72 73 74 75 81 83 84 85
Venita:
44 45 51 51 53 53 55 57 58 62 65 66 69 69 70 73 75 77 78 79
2nd step: To calculate each quartile you have to determine their position and then identify which observation sits in that position:
Quartile 1:
PosQ₁: n/4= 20/4= 5
Quartile 2 (Median)
PosMe: n/2= 20/2= 10
Quartile 3
PosQ₃: n*(3/4)= 20*(3/4)= 15
Since both samples have the same size, the 1st quartile will be the fifth observation of each sample, the median will be the tenth observation and the 3rd quartile will be the fifteenth.
Sherelle:
Q₁: 60
Me: 68
Q₃: 74
Minimum: 26
Maximum: 85
Venita:
Q₁: 53
Me: 62
Q₃: 70
Minimum: 44
Maximum: 79
I hope this helps!
Answer:
Step-by-step explanation:
An object is translated by (x-2, y-6). If one point in the pre-image has the coordinates (-3, 7), what would be the coordinates of its image? (-1,7) O (-5,1) O(-9,5) O (-1, 13)
Answers
Answer:(-5,1)
Step-by-step explanation:! X= -3 so -3-4= -7, Y= 7 so 7+2=9, So the coordinates will be (-7,9) I hope that I could help you
What is the solution to the system of equations below? HELP!!!! y = negative one-fourth x + 2 and 3 y = negative three-fourths x minus 6 no solution infinitely many solutions (–16, 6) (–16, –2)
Answers
Answer:
No solution
Step-by-step explanation:
Step 1: Write out equations
y = -1/4x + 2
3y = -3/4x - 6
Step 2: Substitution
3(-1/4x + 2) = -3/4x - 6
Step 3: Distribute
-3/4x + 6 = -3/4x - 6
From here, we can see that we have the same slope but different y-intercept. This means that the 2 lines are parallel and therefore never intersect.
Alternatively, you could graph the equations and see that the 2 lines are parallel and never intersect.
Answer:
No solution
Step-by-step explanation:
y = -1/4x + 2
3y = -3/4x - 6
Plug y as -1/4x + 2 in the second equation.
3(-1/4x + 2) = -3/4x - 6
-3/4x + 6 = -3/4x - 6
-3/4x + 3/4x = -6 -6
0 = -12
No solution.
Which of the following is the equation that represents the graph?
Graph of a line the passes through the points negative 3 comma 0 and 0 comma negative 2.
y equals negative two thirds times x minus 3
y equals negative three halves times x minus 2
y equals negative three halves times x minus 3
y equals negative two thirds times x minus 2
Answers
y equals negative two thirds times x minus 2 is the equation of graph.
What is slope of line?The slope of the line is the ratio of the rise to the run, or rise divided by the run.
The given two points are 3 comma 0 and 0 comma negative 2.
i.e (3,0)(0,-2)1)
The formula for slope is (y₂-y₁)/(x₂-x₁)
slope = (-2 - 0) / (0 - 3)
= -2 / -3
The negative negative are multiplied we get positive
= 2/3
The standard form of a line is y = mx + b, where m is slope of line and b is y intercept.
slope(m) = 2/3
We can use either of points (0,-2)...x = 0 and y = -2
now sub and find b, then y intercept
-2 = 2/3(0) + b
-2 = b
so equation is : y = 2/3x - 2
Hence y equals negative two thirds times x minus 2 is the equation of graph.
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what is 2+2-3+9-5+3=
Answers
Answer:
8
Step-by-step explanation:
Answer: the answer is 8
Step-by-step explanation: hope this helps :)
The stock of Company A lost 1.5% today to $19.70. What was the opening price of the stock in the beginning of the day?
Answers
Answer:
23.78
........................
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!11
Cecilia records the weight change in her cat over 2 weeks. What number does she record as the total weight change for her cat?
LOOK AT THE ATTACHED PICTURE
Answers
Answer:
1 over 16
Step-by-step explanation:
Tell me the answer please
Answers
Answer:
a. 13,17,21
b. an=a1+(n-1)4
c. no
Step-by-step explanation:
Is -132 closer to -130 or -140?
Answers
To check which number -132 is closer to, we need to subtract the absolute values of the numbers from each other. The number with the larger distance is the further one.
Distance Between -132 and -130:
We will subtract 132 and 130:
\(\Rightarrow132-130=2\)The difference is 2.
Distance between -132 and -140:
We will subtract 132 and 140:
\(\Rightarrow140-132=8\)The difference is 8.
ANSWER:
Since the distance is bigger between -132 and -140, -132 is closer to -130.
the _____ is part of the offensive line and begins the play by snapping the ball back to the quaraterback?
Answers
Answer:
The center
Step-by-step explanation:
is the player who begins the play from scrimmage by snapping the ball to the quarterback. As the name suggests, the center usually plays in the middle of the offensive line, though some teams may employ an unbalanced line where the center is offset to one side.
A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground with an initial velocity of 72 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=-16 t²+72 t+7. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at ? second(s) after launch.
(Simplify your answer.)
The maximum height reached by the object is ? feet.
(Simplify your answer.)
Answers
The rocket reaches its maximum height at 2.25 second(s) after launch
The maximum height reached by the object is 88 feet.
Time to reach the maximum heightThe function is given as
h(t) = -16t² + 72t + 7
Differentiate the above function
So, we have the following representation
h'(t) = -32t + 72
Set to 0
-32t + 72 = 0
So, we have
32t = 72
Divide by 32
t = 2.25
Hence, the time is 2.25 seconds
The maximum heightIn (a), we have
t = 2.25
Substitute t = 2.25 in h(t) = -16t² + 72t + 7
h(2.25) = -16(2.25)² + 72(2.25) + 7
Evaluate
h(2.25) = 88
Hence, the maximum height is 88 feet
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12 ^-3 wasnt at school the week we did negative integers help pls
Answers
1/1728 is the value of negative integers .
What in math is an integer?
A whole number that can be positive, negative, or zero is called an integer. It is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers are examples of non-integer numbers.Three sorts of integers exist: 0 (zero), positive integers (natural numbers), and negative integers (Additive inverse of Natural Numbers)= 12⁻³
= 1/12³
= 1/1728
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Mr. Rodriguez has owned his truck for 3 months. In that time, he has driven the truck a total of 45 miles.
How many miles has Mr. Rodriguez driven his truck in the 3 months?
Answers
Answer:
45 miles
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
45 divided by 3 is 15
sorry, i'm not all that good when it comes to explaining things. just kept it simple:)