We want to see which pair of sets is disjoint, this is, see which pair of sets does not share any element.
The correct option is: E = {even numbers} and F = {odd numbers}
So we only need to see which one is the pair of sets that does not share any element, so we can analyze the given options and see if we can find a number that belongs to both sets.
1) X = {rational numbers} and Y = {whole numbers}
Any whole number is also a rational number, for example:
2 = 4/2
So we can write the number 2 as a quotient of two integers, then we can see that these sets share elements.
2) P={multiples of 2} and Q={multiples of 3}
The number 6 is a multiple of both 2 and 3, thus the number 6 belongs to bot sets, then the sets are not disjoint.
3) G={multiples of 5} and H={multiples of 10}
10 is a multiple of 10 and 5, so the number 10 belongs to both sets, thus the sets are not disjoint.
4) E={even numbers} and F={odd numbers}
We define the even numbers as the ones divisible by 2, while the odd numbers are those that are not divisible by 2. Then by definition, there is no even number that is also odd.
Then we can see that these two sets are disjoints, and this is the correct option.
If you want to learn more, you can read:
https://brainly.com/question/13143676
can someone please help?
Answer:
x equals to 6
Step-by-step explanation:
the angles not touching the outer angle equals it
80°
50°
Зc +2°
C=.
Can i get a step by step or a video on this?
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In the given figure, let the third angle of the triangle be x
From Angle sum property of a triangle, we know that :
x + 80° + 50° = 180° x + 130° = 180° x = 180° - 130° x = 50°so, the third angle will be 50°
and as we can observe here, the third angle of the triangle is equal to (3c + 2)° by vertical opposite angle pair.
so,
3c + 2° = 50°3c = 50° - 2° 3c = 48°c = 48° ÷ 3 c = 16°hence, value of c = 16°
Help me please please
Answer:
No
Step-by-step explanation:
According to the attached table, his taxes would be around 22%
Then
$68300 * (1 - 0.22) = $53.274
Find the area of the figure. (Sides meet at right angles.)
4 ft
5ft
4 ft
9ft
8 ft
Answer:
52 square feet.
Step-by-step explanation:
length*width=area
Top rectangle = 4ft*5ft = 20sq.ft
Bottom rectangle = 4ft*8ft = 32sq. ft
20+32=52 sq.ft OR (4*5)+(4*8)=52sq.ft
PLEASE HELP WILL MARK BRAINLIEST
Answer:
C
Step-by-step explanation:
because it's less than or equal too
solve the formula for the specified value
v=1/3 bh
solve for b
Answer:
The choice a.
[tex]B = \frac{3v}{h} [/tex]
Step-by-step explanation:
[tex]v = \frac{1}{3} Bh \\ \\ v = \frac{Bh}{3} \\ \\ Bh = 3v \\ \\B = \frac{3v}{h} [/tex]
I hope I helped you^_^
1 example of factoring sum of two cubes
7^3+8^3=(7+8)(7^2−(7*8)+8^2)
(15)(49-56+64)
(15)(57)
7^3+8^3=855
Miguel is trying to decide what luggage to buy. He has a choice of brown or black, wheels or no wheels, and small, medium, or large.
What is the probability of Miguel buying a large black piece of luggage with wheels?
A) 1/16
B) 1/12
C) 1/6
D) 1/4
Answer:
1/12
Step-by-step explanation:
Please help me ASAP!!!!!!!
hgjjvbhkml
Step-by-step explanation:
what is the distance between each pair of points. round to the nearest hundredth
(-8, -2) and (6, -1)
Answer:
square root of 197
Step-by-step explanation:
How can I sign up for one on one tutoring and what is the cost
when you click on the tutoring tab it will show you all the details
the example shows that <A is congruent to <R. what does it mean to say that angles are congruent
Answer:
It means that the measurments of both angles are equal.
Step-by-step explanation:
How do you solve -13+x=23+2x
Answer:
[tex]\boxed {x=-36}[/tex]
Step-by-step explanation:
[tex]\sf -13+x=23+2x[/tex]
[tex]\sf -13+x+13=23+2x+13[/tex]
[tex]\sf x=2x+36[/tex]
[tex]\sf x-2x=2x+36-2x[/tex]
[tex]\sf -x=36[/tex]
[tex]\sf \cfrac{-x}{-1}=\cfrac{36}{-1}[/tex]
[tex]\sf x=-36[/tex]
Which of the following is the correct graph of the solution to the inequality -82 -5x + 2 > -38?
Answer:
8.4
Step-by-step explanation:
+82
-5x+2>44
-2
-5x>42
divde by +5
x=8.4
please help me its for my math and im not good at math :(
You have a rectangular prism as shown below. Its height is 7 cm, its width is 4 cm, the length is 3 cm. How would we calculate this volume?
9514 1404 393
Answer:
84 cm³
Step-by-step explanation:
There are formulas for the volumes of simple geometric solids: prism, cylinder, pyramid, cone, frustum of a pyramid or cone.
The formula for the volume of a rectangular prism is ...
V = LWH . . . . . product of Length, Width, and Height
Put the numbers in place of the corresponding variables and do the arithmetic.
V = (3 cm)(4 cm)(7 cm) = 84 cm³
The volume of this rectangular prism is 84 cubic centimeters.
Solve 4x + 11 = k for x.
O A. x-4-11
B. x= k-7
C. x = 4k - 44
D. x =
K-11
4
Answer:
D.[tex]x = \frac{k - 11}{4} \\ [/tex]
Step-by-step explanation:
[tex]4x + 11 = k \\ 4x = k - 11 \\ x = \frac{k - 11}{4} \\ [/tex]
Write an equation of the line that is perpendicular to y=-3x+1 and passes through point (5,3).
Answer: There are two formulas that we will use the first one is the y=m x+b and the second one is finding the perpendicular line.
Step-by-step explanation:
the first one is
y=m x+b
y= 3 x -12
the second one is
first find the negative reciprocal of the slope of the original line and use the point slope formula y- y,= m(x - x1) to find the line perpendicular to
Y= 3 x 1
X= 5
Below are two parallel lines with a third line intersecting them.
20
93°
Answer:
x is 93 degrees
Step-by-step explanation:
They both are in the same place. If you were to cut the lines in half vertically through the center and over layed them they would be the same angle measure.
2. If h(x) = 5x - 7 , for what value of x is h(x) = 23
Answer:
x=6
Step-by-step explanation:
5x-7=23
5x-7 +7=23+7
5x=30
30/5=6
x=6
what the ratio to 7 to 1 written in 3 different ways
Answer: 7:1, 7/1, 7 to 1 (according to school learning)
Step-by-step explanation:
first 7:1 second 7/1 third 7 to 1
what is the probability of selecting four red cards from a standard deck if each card is replaced before the next one is selected
Answer:
1/16
Step-by-step explanation:
1/2 * 1/2 * 1/2 * 1/2
=1/16
What is the equation of the linear model in point-slope form that includes the point (-3, 1) and has a slope of 3?
Please show work for brainliest
Answer:
A) You would use the two points that are closest to the graphed line
(2,7) and (8,13)
B) Slope = change in Y over the change in X:
Slope = (13-7) / (8-2) = 6/6 = 1
Slope = 1
c) Point slope is written as y -y1 = m(x-x1) where m is the slope y1 is the first Y value and x1 is the first x value.
Equation is: y-7 = x-2
d) To rewrite y -7 = x-2 in slope intercept form, you need to isolate y.
To isolate Y add 7 to both sides:
y = x +5
Step-by-step explanation:
The equation of line which passes through point (-7,-2) and having slope 3 is y = 3x + 10.
What is Algebraic expression ?
Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.
Here, it is given that line passes though point (-3,1) and having slope of 3.
Now, Let us find the equation of the line using point-slope equation of line :
(y-y₁) = m(x-x₁)
Substituting all the values in above equation to get the equation of line :
(y-1) = 3(x-(-3))
y -1 = 3x + 9
y = 3x + 9 + 1
y = 3x + 10
Therefore, the equation of line which passes through point (-7,-2) and having slope 3 is y = 3x + 10.
check and know more about line here :
brainly.com/question/14914699
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Examine the terms below. Write a sentence explaining what the terms have in common.
a. indentured servant b. debtorWhy did George Calvert establish the colony of Maryland?
Answer:
If a debtor wasn't able to pay his/her debt off they would be forced to become an indentured servant and work there debt off.
For English Catholics, who were discriminated at the time. They settled in the colony of Maryland to escape persecution under the hands of Anglicans.
Is this relation a function yes or no ?
Answer:
Yes
Step-by-step explanation:
None of the x's repeat
What is an equation of the line that passes through the point ( − 3 , − 1 ) and is perpendicular to the line x − 2 y =6
Answer: y = -2x - 7
Step-by-step explanation:
The equation for a perpenducular line has a slope that is the negative inverse of the reference line, in this case x - 2y = 6.
Let's put this equation into standard slope-intercept form, y = mx+b, where m is the slope and b the y-intercept (the value of y when x is 0).
x - 2y = 6
- 2y = 6 - x
y = (1/2) x -3
The slope is (1/2), so a perpendicular line will have a slope of -2.
y = -2x + b
We can find b by using the given point ((-3,-1), a known solution):
-1 = -2*(-3) + b
-1 = 6 + b
b = -7
The perpendicular equation is y = -2x - 7
y = -2x
2x+2y=10 in slope intercept form
what is 4x + 3x in simplest form
Answer:
7x
Step-by-step explanation:
Answer:
7x
Step-by-step explanation:
4x+3x
4+3=7
add x, same answer of 7x
PLEASE HURRY!!!
Wendy mixed 5 parts of orange juice and 2 parts of water to make a drink. How many parts of orange juice did Wendy mix with each part of water?
A. 2/5
B. 5/7
c. 7/5
d. 5/2
Answer:
2/5
Step-by-step explanation:
You have to divide 2 by 5! Which equals 4/10 then simply to 2/5!
Nellie has a bankruptcy on her credit report and therefore pays higher interest rates on her current loans. She took out a car loan for $45,000 payable for 6 years at an interest rate of 15%. If she had not applied for bankruptcy, she would have been able to take out the loan at a rate of 6%. Approximately how much more in interest over the life of the loan does Nellie have to pay? a. $68,510.16 b. $53,696.16 c. $32,206.32 d. $14,814.00
Using simple interest, it is found that she has to pay $24,300 more in interest.
The amount of money after t years, in simple interest, is given by:
[tex]A(t) = P(1 + kt)[/tex]
In which:
P is the principal.k is the interest rate, as a decimal.t is the time, in years.In this problem:
Loan of $45,000, thus [tex]P = 45000[/tex].6 years, thus [tex]t = 6[/tex].The amount with 15% interest is:
Here, [tex]k = 0.15[/tex]
[tex]A(6) = 45000[1 + 0.15(6)] = 85,500[/tex]
The amount with 6% interest is:
Here [tex]k = 0.06[/tex].
[tex]A(6) = 45000[1 + 0.06(6)] = 61,200[/tex]
The difference is:
85,500 - 61,200 = 24,300
She has to pay $24,300 more in interest.
A similar problem is given at https://brainly.com/question/24989537
Answer:
I cracked the code on my journey to find the correct answer to this problem
The answer is D or $14,814.00
Step-by-step explanation:
This is more than simple interest, this is something to do with amortization
this is a monthly payment calculator for a car loan
[tex]A=p\cdot\frac{\left(r\left(r+1\right)^{n}\right)}{\left(\left(1+r\right)^{n}-1\right)}\\[/tex]
This isn't exactly what we are looking for since we aren't looking for monthly payments but this can still help.
So our variables are [tex]p=45,000[/tex], where p is for principle
r is the loan rate in monthly terms or divide the interest by 12 which is [tex]r=0.0125[/tex] for when 15% is interest and [tex]r=0.0005[/tex] when 6% is interest.
and n is years times 12 or monthly periods involved so [tex]n=72[/tex]
so our equation is [tex]45000\cdot\frac{\left(0.00125\left(0.00125+1\right)^{72}\right)}{\left(\left(1+0.00125\right)^{72}-1\right)}[/tex]
which is equal to 951.53
This number is our monthly payment
so for the full cost is [tex]951.53*12*6[/tex]
that equals 68510.16
now for when interest is equal to 6%
[tex]45000\cdot\frac{\left(0.0005\left(0.0005+1\right)^{72}\right)}{\left(\left(1+0.0005\right)^{72}-1\right)}[/tex]
this is equal to [tex]745.78*12*6[/tex]
so for the full cost is
so the extra interest is equal to the larger number minus the smaller one
[tex]68510.16-53696.16[/tex]
which equals
14,814.00 exactly
*mic drop