Let set X be the set of letters in the word "OBANDO and Y be the set of
etters in the word "BULACAN"
answer the following:
3. List all the subsets of set X and set Y.
Answers
Answer:
X = {O,B,A,N,D}
Y = {B,U,L,A,C,N}
Step-by-step explanation:
Given
Words: OBANDO and BULACAN,
Such that X and represent either of those words respectively.
Next, is to remove all repetition and assign X and Y to the words as thus:
X = {O,B,A,N,D}
Y = {B,U,L,A,C,N}
Related Questions
Evaluate limx→[infinity]x(π−2tan−1(5x)).
Enter an integer or a fully reduced fraction such as −5,7,1/3,−15/4e
No Spaces please.
Answers
The limit of x(π-2tan^(-1)(5x)) as x approaches infinity does not exist.
To evaluate the limit, we can analyze the behavior of the expression as x becomes infinitely large. Let's simplify the expression: x(π-2tan^(-1)(5x)) = xπ - 2xtan^(-1)(5x).
The first term, xπ, grows indefinitely as x approaches infinity. However, the behavior of the second term, -2xtan^(-1)(5x), is more complicated. The function tan^(-1)(5x) represents the inverse tangent of (5x), which has a maximum value of π/2. As x becomes larger, the inverse tangent approaches its maximum value, but it does not exceed it. Thus, multiplying it by -2x does not change the fact that it remains bounded.
Therefore, as x tends to infinity, the second term approaches a finite value, while the first term grows infinitely. Since the expression does not converge to a specific value, the limit does not exist.
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Carlos is mailing packages. Each small package costs him $2.40 to send. Each large package costs him $2.90. How much will it cost him to send 1 small package and 3 large packages?
Answers
Answer:
$11.10
Step-by-step explanation:
1 small package = $2.40
1 large package = $2.90
1 small package + 3 large packages.
2.40 + (3 × 2.90)
=2.40 + 8.70
=11.1
Answer:
$11.10
Step-by-step explanation:
This problem can be modeled by 2.4x+2.9y=c
x=small packages
y=large packages
c=total cost
By plugging in the values you get 2.4(1)+2.9(3)=c
2.4+8.7=c
c=11.1
Therefore the total cost is $11.10
1. Find the volume of the pyramid below.
in
Answers
Answer:
Step-by-step explanation:
volume = ⅓×8×7×6 = 112 in³
Answer:
168
Step-by-step explanation:
What is the gradient of the line y 7x 3?
Answers
The given expression is of the form y=mx+c. Comparing, we get the slope as 7.
The direction and steepness of a line are represented numerically by the slope or gradient of the line. It provides the ratio of how much y rises when x rises by a particular amount. The general form is therefore y=mx+c, where c represents the y-intercept and m represents the slope. This form gives the slope-intercept form.
Given the expression is y=7x+3. Comparing this expression with the general form we get, slope or gradient as 7 and y-intercept as 3. Therefore, the required answer is 7.
The complete question -
What is the gradient of the line y=7x+3?
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Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if one angle is four times the other angle.
Answers
Answer:
18° and 72°
Step-by-step explanation:
The angle measures are unknown, so they will be represented with the variable, x. Since, one angle is 4 times the other, this will be represented with 4x.
To find complementary angles, they are added together and equal 90. So let's create an equation.
x + 4x = 90
Now solve for x.
5x = 90
5x/5 = 90/5
x = 18
One angle is 18°.
Now find the second angle.
4x
plugin 18 for x and multiply
4(18) = 72
s=c=xc we are looking for x
Answers
Answer:
X=1
Step-by-step explanation:
If s=c=xc, x must equal one. This is because this rule allows us to say c=(1)c. with any other number, this is not true.
a rectangular well is 6 feet long, 4 feet wide, and 10 feet deep. if water is running into the well at the rate of 3 ft3 /min , how fast is the water rising?
Answers
The volume of water in the well is 6 x 4 x 10 = 240 ft3. Since water is running into the well at the rate of 3 ft3 per minute, the water is rising at the rate of 3/240 ft per minute or 1/80 ft per minute.
The volume of water in the well is 6 x 4 x 10 = 240 ft3. Since water is running into the well at the rate of 3 ft3 per minute, the water is rising at the rate of 3/240 ft per minute or 1/80 ft per minute.
To calculate this, we can use the following formula:
Rate of Water Rising = Volume of Water Added Per Minute / Total Volume of Well
Rate of Water Rising = 3 ft3/min / 240 ft3
Rate of Water Rising = 1/80 ft per minute
Therefore, The volume of water in the well is 6 x 4 x 10 = 240 ft3. Since water is running into the well at the rate of 3 ft3 per minute, the water is rising at the rate of 3/240 ft per minute or 1/80 ft per minute.
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Calculate the perimeter for the given figure.
8 ft
8.5 14
.ft
10 11
A. 16.5 feet
B. 25.5 feet
C: 26,5 feet
D. 26.5 feet
Answers
Answer:
the answer is C and D because perimeter is the sum of all sides of a figure
to the relation a function Justify your answer
11
10
A No, because two points with the same y value have different
values
B. Yes, because everyx and value is positive
Q. Yes, because every value corresponde with a single y value
OD Yes, because the number of values is the same as the number of
values
Answers
Answer:
No, because two points with the same y value have different values.
PLEASE MARK ME BRAINLIESTcan you help me with this? i’m not too sure how to start. Write a system of equations to describe the situation below, solve using augmented matrix, and fill in the blanks. This morning, Arianna processed two catering orders at the sandwich shop where she works The first order was for 9 trays of club sandwiches and 3 trays of vegetarian sandwiches, at a cost of $57. The second order, which cost $5, was for 1 tray of club sandwiches. How much do the trays cost? A tray of club sandwiches costs ($?) and a tray of vegetarian sandwiches cost ($?).
Answers
ANSWER:
A tray of club sandwiches costs $4.67
A tray of vegetarian sandwiches costs $5.
STEP-BY-STEP EXPLANATION:
Let x be a tray of club sandwiches costs and y be a tray of vegetarian sandwiches cost.
We create the matrix:
\(\begin{pmatrix}9&3\\ \:\:0&1\end{pmatrix}\cdot \begin{pmatrix}x\\ \:y\end{pmatrix}=\begin{pmatrix}57\\ \:\:5\end{pmatrix}\)We solve the matrix, just like this:
\(\begin{gathered} \begin{pmatrix}9x+3y \\ 0\cdot\:x+1\cdot\:y\end{pmatrix}=\begin{pmatrix}57 \\ \:\:5\end{pmatrix} \\ \begin{pmatrix}9x+3y\\ y\end{pmatrix}=\begin{pmatrix}57\\ 5\end{pmatrix} \\ \begin{bmatrix}y=5\end{bmatrix}\rightarrow y=\text{ \$5} \\ \begin{bmatrix}9x+3\cdot\:5=57\end{bmatrix}\rightarrow\begin{bmatrix}9x+15=57\end{bmatrix}\rightarrow\begin{bmatrix}9x=57-15\end{bmatrix}\rightarrow\begin{bmatrix}x=\frac{42}{9}\end{bmatrix}\rightarrow\begin{bmatrix}x=\frac{14}{3}\end{bmatrix}\rightarrow x=\text{ \$4.67} \end{gathered}\)Therefore:
A tray of club sandwiches costs $4.67 and a tray of vegetarian sandwiches costs $5.
Explain how to solve for the rate in a simple interest equation if you are given the interest amount, the principal, and the time.
Answers
Answer:
divide the interest amount by the product of the principal and time
Step-by-step explanation:
The simple interest formula is I = prt where I is the interest, p is the principal, r is the rate and t is the time (in years). Rewriting this formula so that r is the subject we get r = I / pt. Therefore the answer is divide the interest amount by the product of the principal and time.
For each of the following statements, find the negation of the statement. (a) For all integers x,x 2
is nonnegative. (b) For all integers a and b, if a
Answers
(a) The negation of the statement "For all integers x, x² is nonnegative" is "There exists an integer x such that x² is negative or x is not an integer."
(b) The negation of the statement "For all integers a and b, if a < b then a² < b²" is "There exist integers a and b such that a < b and a² ≥ b²."
Explanation:
(a)The original statement is "For all integers x, x² is nonnegative."This statement can be translated into the symbolic form ∀x ∈ Z, x² ≥ 0.
The negation of this statement is "There exists an integer x such that x² is negative or x is not an integer."
This statement can be translated into the symbolic form ∃x ∈ Z, x² < 0 or x ∉ Z.
(b)The original statement is "For all integers a and b, if a < b then a² < b²."
This statement can be translated into the symbolic form ∀a, b ∈ Z, a < b → a² < b².
The negation of this statement is "There exist integers a and b such that a < b and a² ≥ b²."
This statement can be translated into the symbolic form ∃a, b ∈ Z, a < b ∧ a² ≥ b².
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4. Which expression is equivalent to sin(50)º?
A. cos(400)
B. cos(50)
C. tan(40°)
D. tan(50)
Answers
Answer:
cos(400)
Step-by-step explanation:
Useful things:
Cofunction identity: sin(x)=cos(90-x)
Sine and cosine have period of 360 degrees.
So sin(50)=cos(40) by cofunction identity.
Since cosine has period of 360 degrees then cos(40)=cos(360+40).
That simplifies to cos(400).
The expression equivalent to sin(50)º will be cos(400). the correct option is A.
What are trigonometric functions?The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively utilized in various geosciences, including navigation, and solid mechanics.
Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.
Cofunction identity: sin(x)=cos(90-x). Sine and cosine have periods of 360 degrees.
sin(50)=cos(40) by cofunction identity. Cosine has a period of 360 degrees then, the value of cos 40 is calculated as:-
cos(40)=cos(360+40).
Therefore, the expression equivalent to sin(50)º will be cos(400). the correct option is A.
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If Samantha can make 6 bracelets in 1 hour and Payton makes 15 bracelets in 3 hours - what is the difference in the number of
bracelets they would make in 6 hours?
Answers
8.
One pound is about 3,500 calories. In order to lose 6 pounds in 5 weeks, the number of calories
consumed daily must be decreased by
a. 30
b. 60
C. 17,000
d. 21,000
Answers
Answer:
600
Step-by-step explanation:
We have to find the number of calories that 6 pounds is.
1 pound = 3500 calories
6 pounds = 6 * 3500 = 21000 calories
In 5 weeks we have 35 days. Let us divide 21000 by 35 to find how many calories that is per day:
21000 / 35 = 600
The number of calories must therefore be decreased by 600 every day.
solve for z in the equation
Answers
Answer:
the answer is C
Step-by-step explanation:
added in the picture
Answer:
3rd option
Step-by-step explanation:
v² = w² + \(\frac{z^2}{4}\) ( subtract w² from both sides )
v² - w² = \(\frac{z^2}{4}\) ( multiply both sides by 4 to clear the fraction )
4(v² - w²) = z² ( take square root of both sides )
\(\sqrt{4(v^2-w^2)}\) = z
Calculate the volume of an oblique prism having an altitude of 16 and a base that is an octagon with an area of 48
Answers
In this case, the base area is 48 and the altitude is 16.
Volume = 48 * 16
Volume = 768
So, 768. Hope it helps.
A (tiny) library has 5 history texts, 3 sociology texts, 6 anthropology texts and 4 psychology texts. Find the number of ways a student can choose:
Answers
Thus, there are 18 ways to choose one book, 153 ways to choose two books, and 360 ways to choose three books, one from each category.
To find the number of ways a student can choose from the given library, we need to use the formula for combinations.
The formula for combinations is:
nCr = n! / r!(n-r)!
where n is the total number of items, r is the number of items to be chosen, and ! denotes factorial.
Let's consider the different ways a student can choose:
1. Choosing one book from any category:
Total number of books = 5+3+6+4 = 18
n = 18, r = 1
Number of ways = 18C1 = 18! / 1!(18-1)! = 18
2. Choosing two books from any category:
n = 18, r = 2
Number of ways = 18C2 = 18! / 2!(18-2)! = 153
3. Choosing three books, one from each category:
For this, we need to choose one book from each category, and the order of selection does not matter.
n1 = 5, r1 = 1 (for history)
n2 = 3, r2 = 1 (for sociology)
n3 = 6, r3 = 1 (for anthropology)
n4 = 4, r4 = 1 (for psychology)
Number of ways = (5C1 x 3C1 x 6C1 x 4C1) = (5 x 3 x 6 x 4) = 360
Therefore, there are 18 ways to choose one book, 153 ways to choose two books, and 360 ways to choose three books, one from each category.
In summary, a student can choose:
- 18 ways to choose one book
- 153 ways to choose two books
- 360 ways to choose three books, one from each category
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You earned $34000 and your total tax due was $6200. What was your average tax rate? (please explain)
Answers
if we take 34000(origin amount) to be the 100%, what is 6200 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 34000 & 100\\ 6200& x \end{array} \implies \cfrac{34000}{6200}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 170 }{ 31 } ~~=~~ \cfrac{ 100 }{ x }\implies 170x=3100\implies x=\cfrac{3100}{170}\implies x\approx 18.24\)
Complete the statement
Answers
Answer:
<RQS = <RSQ
Step-by-step explanation:
IRQ = RS, then QRS is an isosceles triangle and the base angles are equal
<RQS = <RSQ
which of the following is a benefit of internal data?1 pointinternal data is less likely to need cleaning. internal data is less vulnerable to biased collection.internal data is more reliable and easier to collect. internal data is the only data relevant to the proble
Answers
The benefit of internal data is that internal data is more reliable and easier to collect.
Internal data are unique facts and figures that originate directly from the systems of the business in the issue. Internal data is rarely accessible to or studyable by outside parties without the express consent of the corporate entity.
The success of the company's present processes can be seen through internal data. Internal data, which is gathered from sources like website KPIs and customer surveys, is a priceless resource for assessing company policies, goods and branding, and worker efficiency.
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Calculate the Expected Value for Sell Company Probability Sell Company Form Joint Venture Sell Software on own Success 0.3 102.0 210 420 Moderate Success 0.3 102.0 120 208.0 Failure 0.4 102.0 10.0 100
Answers
The probability is 102.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
Moderate Success 0.3 102.0 120 208.0
Failure 0.4 102.0 10.0 100
Now, the probability
E(x) = \(\sum^3_i\)= \(S_iP_i\)
= 102 x 0.3 + 102 x 0.3 + 102 x 0.4
= 30.6 + 30.6 + 40.8
= 102
Hence, the probability is 102.
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Point A (-2,-10) is reflected over the x-axis. Write the coordinates of A'. * (2.-10) O (2.10) O (-2,-10) (-2, 10) Send me a copy of my responses. Submit
Answers
Answer:
(2, -10)
Explanation:
Reflection over the x-axis puts a negative sign on the x value.
Answer:
-2,10
Step-by-step explanation: i took the test and when doing this you only change the y but keep the x.
Find the slope of the line that passes through
(10, 1) and (5,2)
Answers
Answer:
the slope of the line is -1/5
remember, rise over run.
Step-by-step explanation:
May I have brainliest please? :)
Answer:
\(m=-\frac{1}{5}\)
Step-by-step explanation:
PLEASE HELP!!
WORTH 30 PTS!!
Choose the first step in solving the following equation:
4(2x - 5) + 2x = 11
a 8x - 20 + 8x = 11
b 8x - 20 + 2x = 11
c 4(2x) + 2x = 16
d 4(4x - 5) = 11
e (2x - 5) + 2x = 7
Answers
Answer:
B) 8x - 20 + 2x = 11
Step-by-step explanation:
4(2x - 5) + 2x = 11
use pemdas
parenthesis comes first
open the parenthesis
4 * 2x - 4 * 5 + 2x = 11
8x - 20 + 2x = 11
A group of friends were working on a student film that had a budget of $900. They used 33% of their budget on equipment. How much money did they spend on equipment?
Answers
They used 33/100 of their money on equipment which means if they have a budget of 900 dollars they used...
900*33/100=9*33=297 dollars on equipment.
The amount used on equipment is $297.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying it by 100.
The percentage change is also calculated using the same method.
In percentage change, we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Budget = $900
Percentage of the budget used.
= 33%
Now,
The amount of budget used.
= 33% of 900
= 33/100 x 900
= $297
Thus,
The amount used on equipment is $297.
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a student researcher is comparing the wait times between two different dining facilities at ucsb. they found the 95% confidence interval for the difference in mean wait time (in minutes) between facility a and b to be [.32,1.47]. what is the most accurate interpretation of this confidence interval?
Answers
It could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.
The most accurate interpretation of the given confidence interval is as follows:
We are 95% confident that the true difference in mean wait time between Facility A and Facility B falls within the range of 0.32 minutes to 1.47 minutes.
This means that if we were to repeat the study multiple times and calculate a new confidence interval each time, we would expect that approximately 95% of those intervals would contain the true difference in mean wait time between the two facilities.
Furthermore, based on the observed data and the calculated confidence interval, we can conclude that the difference in mean wait time between Facility A and Facility B is likely to be positive, with Facility B having a higher mean wait time than Facility A. However, we cannot say with certainty that the true difference is exactly within this specific range; it could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.
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six times the difference of a number and 4 is no more than 10.
Answers
Answer:
nnnnnnnnnnnnnnnnnnnnnnnnn
Step-by-step explanation:
If you deposit $5000 into an account that pays 3% annual Interest compounded -annually, how much money will you have after 2 years?
Answers
Answer:
$5130.84
Step-by-step explanation:
100 + 3 = 103%
103% = 1.013
$5000 x 1.013^2 = $5130.84
Hope this helps!
If the sum of the measures of two angles is 90 degrees , the angles are called _____
Answers
If the sum of the measures of two angles is 90 degrees, the angles are called complementary angles.
Complementary angles are a pair of angles that add up to 90 degrees. In other words, when you add the measures of two complementary angles together, the result is 90 degrees.
Let's consider an example:
If angle A measures 40 degrees, and angle B is the complementary angle to angle A, then the sum of their measures should be 90 degrees.
To find the measure of angle B, we can subtract 40 degrees from both sides of the equation:
angle B = 90 degrees - 40 degrees
angle B = 50 degrees
So, in this case, angle A and angle B are complementary angles with measures of 40 degrees and 50 degrees, respectively.
When the sum of the measures of two angles is 90 degrees, the angles are referred to as complementary angles. Complementary angles are commonly encountered in geometry and have a special relationship where their measures combine to form a right angle.
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