To find the number of all subsets of the set A ∪ B with 4 elements, where A = {1, 2, 3, 6, 7} and B = {3, 6, 7, 8, 9}, we need to consider all possible combinations of elements from the union of A and B that have a cardinality of 4.
The cardinality of the union A ∪ B is 9, as it contains all distinct elements from both sets. We need to choose 4 elements from this union, which can be done in C(9, 4) ways, where C(n, r) denotes the combination of selecting r elements from a set of n elements.
Using the formula for combinations, C(n, r) = n! / (r! * (n - r)!), we can calculate the number of subsets.
C(9, 4) = 9! / (4! * (9 - 4)!) = 9! / (4! * 5!) = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1) = 126.
Therefore, there are 126 subsets of the set A ∪ B with 4 elements.
Learn more about subsets here: brainly.com/question/32386149
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Rewrite the equation 2x + 3y = 6 in slope-intercept form.
3y = -2x + 6
y= -2x+6
y= - 2/3 x+2
y = 2x+6
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe
Answer:
1 4/6 inches
Step-by-step explanation:
10/6= 1 4/6 inches
Hope it helps!!
I need help on this.. And I will give you a BRANILIST if you the first one with the right answer
Answer:
0.1
Step-by-step explanation:
(9,4) (5,1) [tex]\frac{y_{2} y_{1} }{x_{2} x_{1} }[/tex], plug in the numbers, [tex]\frac{(1)(4)}{(5)(9)}[/tex]= [tex]\frac{4}{40} or \frac{1}{10}[/tex], to write it as a decimal, you divide the numerator by the denominator, 0.1
Solve for x Round to the nearest 100th if needed.
x/13 + 18 = 49
Answer:
2.4
Step-by-step explanation:
X=49-18/13
X=31/13
X=2.38
The hypotenuse of the right triangle is 5y inches long. The lengths of the legs are x + 8 and x + 3 inches. If the perimeter of the triangle is 60 inches and the length of the hypotenuse minus the length of the shorter leg is 10 inches, how many inches long is the hypotenuse?
Answer:
25
Step-by-step explanation:
The perimeter of triangle is equal to the sum of all sides of triangle
then:
5y + (x+8) + (x+3) = 60
5y + 2x +11 = 60
5y +2x = 49 ..............................................................(1)
the hypotenuse - shorter leg = 10
hint ( shorter leg ) = x+3
then
5y - (x + 3 ) = 10
5y - x - 3 = 10
5y - x = 13 .................................................... (2)
from 1 and 2
5y +2x = 49 .................................................................. (3)
5y - x = 13 (multiply both sides by 2 )
10y - 2x = 26 ..................................................................(4)
by sum 3 and 4
15y = 75
then y = 75/15 = 5
then hypotenuse = 5y = 5 x 5 = 25
Answer:
5
Step-by-step explanation:
4 5/7 + 3 3/4 = ??
Simplify ur answer
Show ur work
Answer:
237/28
Step-by-step explanation:
4 5/7=33/7
3 3/4=15/4
----------------
33/7+15/4=132/28+105/28=237/28
Answer:
8 13/28 or as a decimal: 8.46
Step-by-step explanation:
Rewrite the sum:
(4+3)+(5/7+3/4)
Add the numbers 4+3:
7+(5/7+3/4)
Add the fractions:
7+41/28
Convert the improper fraction into a mixed number:
7 + 1 13/28
Write the mixed number as a sum of the whole number and the fractional part:
7+1+13/28
Add the numbers 7+1 and then there is your answer!
8 13/28
If your paper, quiz, homework, etc says decimal form or alternative form then the decimal form is 8.46 and the alternate form is 237/26. But 8 13/28 cannot be reduced any lower.
Please help quick will give brainliest!
Answer: Choice A) The linear equation, aka straight line
Explanation:
The end behavior is determined by the ratio of the leading terms. This is because for large x values, the leading terms "drown out" (so to speak) the weight of the other terms.
We divide the leading terms 10x^3 over 2x^2 to get 5x. So as x gets really large, in either the positive or negative direction, the tail end portions will start to approach y = 5x. This is the slant or oblique asymptote. The end behavior or y = 5x has the left side going down, while the right side is going up. The same applies for the f(x) function as well.
Someone help please
the pythagorean theorem states that a^2 + b^2 = c^2 If A and B represent the length of the legs of a right triangle and C represents the length of the hypotenuse. Find the length of the hypotenuse Is the length of the legs are 9cm and 12cm.
Answer:
25 or 50 points is that if 25 or 20 im not
Answer:
The hypotenuse equals 15cm
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer: The equation is y = 3x + 3
Step-by-step explanation:
The average diameter of a tree is measured over time. The equation y = 3/4x, where x is time in years and y is the
diameter in inches, models this relationship.
What is the predicted diameter, in inches, of the tree after 12 years?
Answer:
The predicted diameter of a tree after 12 years is 9 inches.
Step-by-step explanation:
The average diameter of the tree is represented by [tex]y = \frac{3}{4}\cdot x[/tex]. The predicted diameter of the tree after 12 years is determined by evaluating the linear function at [tex]x = 12[/tex]. That is:
[tex]y = \frac{3}{4}\cdot (12)[/tex]
[tex]y = 9[/tex]
The predicted diameter of a tree after 12 years is 9 inches.
multiple choice geometry helPppp
Answer: D
Step-by-step explanation:
Use SOHCAHTOA
We are given the opposite of the angle and the hypotenuse. We can use the sine function to acquire the value of x°.
sin(x) = 7/13
Take the inverse sine on both sides by using a calculator to get:
x = 32.58°
Answer:
32.58° that the answer hope this helps
help and ill give extra (60 points)
Answer:
1) substitution method
2) zero
Step-by-step explanation:
because it has no solution as the variables cancle out eachother.
A Lamborghini is worth $700,732 if the tax of this car is 5% what would be the full price?
Graph the following equation:
Graph f(x)= -2^x-2
Answer:
Step-by-step explanation:
please please please help asap
Answer:
∠ UVX = 126.8°
Step-by-step explanation:
∠ WVS and ∠ UVX are vertical angles and congruent, then
∠ UVX = 126.8°
What is the distance between (7,-3) and (4, -5)
Answer:
(3,2)
Step-by-step explanation:
Samuel Morse determined that the percentage of t's being used in the English language in the 1800's was 9%. A random sample of 600 letters from a current newspaper contained 48 t's. Test the claim that the proportion of t's has changed in modern times, using the current newspaper data and a significance level of 0.05
Answer:
There is insufficient evidence to indicate that the population proportion of t’s in modern newspaper is different from 0.09. The result is not statistically significant
Step-by-step explanation:
H0 : p0 = 0.09
H1 : p0 ≠ 0.09
Sample size, n = 600 ; α = 0.05
Decision region
Zstatistic < Zcritical ; reject H0
P = 48 / 600 = 0.08
Zstatistic = (p - p0) ÷ sqrt((p0(1 - p0)) /n)
Zstatistic = (0.08 - 0.09) ÷ sqrt(0.09(0.91))/600)
Zstatistic = - 0.01 /0.0116833
Zstatistic = - 0.856
Zcritical at 0.05, = - 1.96
Zstatistic > Zcritical
-0.856 > - 1.96
Hence, we fail to reject the Null
Which statement best describes the domain of the function represented in the graph?
Given:
The graph of a function.
To find:
The correct statement for the domain of the given function graph.
Solution:
Domain is the set of x-values for which the function is defined or it is the set of input values.
From the given graph it is clear that it is a linear function with end points (1,2) and (9,14).
So, the given function is defined for [tex]1\leq x\leq 9[/tex]. Here 1 and 9 are including in the set of x-values.
Therefore, the correct option is C, i.e., [tex]1\leq x\leq 9[/tex] or x between 1 and 9, inclusive.
The length of a rectangle is 5 centimeters more than the width.
The area of the rectangle is 36 square centimeters.
What is the length?
Answer:
Length is 4 centimeters
Step-by-step explanation:
4 x (4 + 5)
4 x 9
36
What is the value of 4 in 145,027
Answer:
40,000
Step-by-step explanation:
100,000 + 40,000 + 5,000 + 20 + 7 = 145,027
Ten cards numbered 1-10 are placed in a hat.What is the probabiliy of randomly drawing a card with an even number then a card with a number equal to five if the firdt card iis replaced
Answer:
1/ 20
Step-by-step explanation:
Given :
Cards = {1,2,3,4,5,6,7,8,9,10}
Even number = {2,4,6,8,10}
Probability (drawing an even number) :
Number of even / total. Number of cards
5 / 10 = 1/2
Card with number, 5 :
P(card numbered 5) = 1/10
Since they are independent events :
P(even number) * P(card numbered 5)
1/2 * 1/10 = 1/20
I NEED HELP PLEASE ASAP, It's due soon.
Which series of transformations will create similar but not congruent figures? (1 point)
O reflection and translation
O reflection and dilation
O reflection and rotation
O rotation and translation
If you don't know let someone who does answer
Answer:
I thik O rotation and translation
If 80 = y, then y = 80
Answeryes
Step-by-step explanation:
HELP!!
Solve for x:
logx - log(x+5) = log2
need step-by-step solution
Answer:
no solution
Step-by-step explanation:
logx - log(x+5) = log2,
logx = log2 + log(x + 5),
Remember that logs of the same base can be added together by multiplying their arguments:
log(x) = log [(x + 5)*2]
We cancel the logarithms by taking the exponents of both sides:
x = (x + 5)*2,
x = - 10
But x = - 10 makes the value undefined, so we say no solution.
A six-sided Fair number cubis rolled 100 times as part of an experiment. The frequency of the role of the number 3 is 20. W hich statement about rolling a 3 is correct
Answer:
The Theoretical probability is 1/6.
The experimental probability is 1/5
Step-by-step explanation:
Given
Rolls: 100
Outcome of 3 : 20
Required
Which of the options is true (See attachment for options)
From the attachment, we understand that the question requires that we calculate the experimental and theoretical probability.
The experimental probability (E) is calculated as thus:
[tex]E = \frac{Outcomes}{Total\ Rolls}[/tex]
[tex]E = \frac{20}{100}[/tex]
[tex]E = \frac{1}{5}[/tex]
The theoretical probability (T) is calculated as thus:
A cube has 6 faces, one of which is the face 3.
So, T is:
[tex]T = \frac{n(face\ 3)}{n(Total)}[/tex]
[tex]T = \frac{1}{6}[/tex]
Hence, C is true
What are the solutions of the quadratic equation p^2+3p-28=40
Answer:
the answer is =-3±[tex]\sqrt{281}[/tex]/2
Step-by-step explanation:
Answer:
[tex]\bold{p_1\approx6.88\ ,\qquad p_2\approx-9.88}[/tex]
Step-by-step explanation:
[tex]p^2+3p-28=40\\\\p^2+3p-68=0\\\\a=1\,,\ b=3\,,\ c=-68\\\\\\p=\dfrac{-3\pm\sqrt{3^2-4\cdot1\cdot(-68)}}{2\cdot1}=\dfrac{-3\pm\sqrt{281}}{2}\\\\p_1\approx6.88\ ,\qquad p_2\approx-9.88[/tex]
in an assignment and need help with this question
HELP PELASE ASAPppppp
Answer:
sin M = NK/MK = m/n
cos K = NK/MK = m/n
=> sin M/cos K = 1