The values of the set functions after the matching are:
D∩F = FD∩E = EDU(E∩F) = DD∩(E∩F) = {16}D∩(EUF) = {1,,4,9,12.14,16,18,35,36,47,64,81}What do we mean by different types of sets' functions?The intersection of two sets is represented by ∩.This refers to shared values between the sets under consideration.U represents the union of two sets.This includes all values from all sets considered.So, we have D = {x | x is a whole number}.
Then: D = {0,1,2,3,4,5,6,7,8,.........}Similiarly, E = {x | x is a perfect square < 100}.
So: E = {1,,4,9,16,35,36,47,64,81}Similarly, F = {x | x is an even number between 10 and 20}.
Then: F = {12,14,16,18}Now, D∩E = The common values from sets D and E.
Here we have: = E (all perfect square < 100 )D∩F = F
Where: This means all even numbers between 10 and 20}Now, D∩(E∩F) = {16}.
Then: E∩F = {16}Hence, The only value common to both set D and E∩F is 16.DU(E∩F) = D ( This means all whole numbers)
Then we can say: E∩F = {16}D∩(EUF) = {1,,4,9,12.14,16,18,35,36,47,64,81}
We obtain: EUF = {1,,4,9,12.14,16,18,35,36,47,64,81}Therefore, the values after the matching are:
D∩F = FD∩E = EDU(E∩F) = DD∩(E∩F) = {16}D∩(EUF) = {1,,4,9,12.14,16,18,35,36,47,64,81}Know more about sets functions here:
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PLEASE HELP
Solve the following system algebraically. y = x^2 + 11 and y = –12x
Answer:
x^2+12x=-11
Step-by-step explanation:
Answer:
(-1, 12) and (-11, 132)
Step-by-step explanation:
geometry help me thx
Answer:
AB=5
Step-by-step explanation:
the steps are on top
Which set of angle measures could be the measures of the interior angles of a triangle?
60°, 45°, and 70°
30°, 85°, and 25°
55°, 90°, and 35°
110", 15°, and 45°
Answer:
(c) 55°, 90°, and 35°
Step-by-step explanation:
Given lists of angle measures, you want to know which could be the interior angles of a triangle.
Angle sum theoremThe angle sum theorem tells you the sum of interior angles of a triangle is 180°. To find the angles that could be those of a triangle, check to see if their sum is 180°.
a) 60 +45 +70 = 175 ≠ 180
b) 30 +85 +25 = 140 ≠ 180
c) 55 +90 +35 = 180 . . . . . . . could form a triangle
d) 110 +15 +45 = 170 ≠ 180
The angle measures 55°, 90°, and 35° could be the interior angles of a triangle.
1. Find the perimeter of the rectangle.
4in w 7in L
O11 in.
O22 in.
O28 in.
O56 in.
Answer:
(b) 22 in
Step-by-step explanation:
You want the perimeter of a rectangle with side lengths 4 inches and 7 inches.
PerimeterThe perimeter of a rectangle is the sum of the lengths of its sides. Your rectangle has two sides that are 4 inches, and two sides that are 7 inches. The perimeter is the sum of these lengths:
P = 4 in + 4 in + 7 in + 7 in
P = 22 in
The perimeter of the rectangle is 22 inches.
__
Additional comment
We can save a math operation by recognizing the sum can be arranged to ...
P = (4 in +7 in) +(4 in +7 in) = 2(4 in +7 in)
This is evaluated using one sum and one product, rather than the three sums we need if we simply add the lengths of the four sides.
This is why the usual formula for the perimeter of a rectangle is ...
P = 2(L +W)
What value of a makes the equation an identity? 3a(x-4) = 8x-16
We can conclude that no value of 'a' will make the equation an identity.
What exactly are equations?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal.3x + 5 = 14, for example, is an equation in which the expressions 3x + 5 and 14 are separated by a 'equal' sign.The equation is an identity if solving it results in a true statement such as 0 = 0.So, to get 0 = 0 to make the equation an identity, we have to get such a value of a that makes the LHS 8x - 16 which will be similar to RHS 8x - 16.
If we take a = 1 then the LHS will be less than the RHS as:
3(1)(x-4) = 8x-163x - 12 ≠ 8x-16If we take a = 2 then:
3(2)(x-4) = 8x-166x - 24 ≠ 8x-16If we take a = 3 then the LHS will be greater than the RHS as:
3(3)(x-4) = 8x-169x - 36 ≠ 8x-16So, we can conclude that no value of 'a' will make the equation an identity.
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Write down the next two terms in these quadratic sequences:
9, 13, 19, 27, ___, ___
There are 3 triangles and 15 circles. What is the simplest ratio of triangles to circles?
Answer:
1/5, 1:5, 1 to 5
Step-by-step explanation:
The ratio is 3/15, but simplest form is 1/5.
What is the value of the expression below when x = 3
7x + 2
How many boards 5 1/6 in. wide will it take to cover a floor 248in. wide?
The number of boards it would take to cover the floor is 48
Calculating amountFrom the question, we are to determine how many boards it would take to cover the floor
From the given information,
The width of the floor is 248 in.
and
The width of the board is 5 1/6 in.
Thus,
The number of boards it would take to cover the floor is
248 ÷ 5 1/6
= 248 ÷ 31/6
= 248 × 6/31
= 1488/31
= 48
Hence, the number of boards it would take to cover the floor is 48
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convert gallons to cups
Answer:
There are 16 cups in a gallon.
Step-by-step explanation:
Not sure what you're asking but there are 16 cups in a gallon.
1. In a conditional statement, where do you find the hypothesis?
Answer: A conditional statement (also called an if-then statement) is a statement with a hypothesis followed by a conclusion. The hypothesis is the first, or “if,” part of a conditional statement. The conclusion is the second, or “then,” part of a conditional statement.
Step-by-step explanation:
Which expression is equivalent to 9(4+2x)?
evaluate 7 to the negative 2nd power
Answer:
exact form= 1/49
and the decimal form= 0.02040816
Step-by-step explanation:
square with a perimeter of 240 inches is dilated by a scale factor of 1.5. what is the area of the dilated image of the square?
the awnser: is 960 inches
solve for r.
4(r+15)+4r=300
Answer:
r=30
Step-by-step explanation:
first expand:
4r+60+4r=300
8r+60=300
8r=300-60
8r=240
r=30
hope this works:)
Determine whether the statement is True or False.
Answer:
1. True
2. True
3. True
4. False
5. False
6. False
7. True
8. False
9. True
10. False
Step-by-step explanation:
∈ means "is an element of"
⊂ means "only contains some, but not all, the elements of"
⊆ means "only contains some, possibly all, the elements of"
If one of those symbols is strickenthrough, it simply means the opposite, e.g. "it's not true that it's an element of" or "it's not true that it only contains some, (...) the elements of"
∅ is an empty set
{ something } is a set containing everything inside the curly brackets. Thus, { } is an empty set.
Let's rewrite the statements:
1. 5 is an element of {1, 3, 5, 7, 9}
TRUE
2. 4 is not an element of {1, 3, 9}
TRUE
3. {5, 6, 7} only contains some, possibly all, the elements of {5, 6, 7}
TRUE
4. {1, 2, 3} only contains some, but not all, the elements of {1, 2, 3}
FALSE (it contains all)
5. it's not true that {9} only contains some, possibly all, the elements of {9, 10}
FALSE (it does only contain elements of {9, 10} )
6. it's not true that 8 is an element of {2,4,6,8,10}
FALSE (because it is an element of that set)
7. empty set only contains some, possibly all, the elements of empty set
TRUE (it contains only elements of empty set - all of them, namely none)
8. 0 is an element of empty set
FALSE (empty set is empty, so it cannot contain 0)
9. {13, 11} only contains some, but not all, the elements of {11, 12, 13}
TRUE (order is irrelevant)
10. {7, 8} only contains some, possibly all, the elements of {8}
FALSE (7 is not an element of {8} )
The graph to the right uses cylinders to
represent barrels of oil consumed by two
countries. Does the graph distort the data or
does it depict the data fairly? Why or why not?
If the graph distorts the data, construct a
graph that depicts the data fairly.
Does the graph distort the data? Why? Or Why not?
A. Yes, because 3D objects always distort the data in graphs.
B. Yes, because the graph incorrectly uses objects of volume to represent the data.
C. No, because the graph is technically correct.
D. No, because the proportions are accurate.
Answer:
C. No, because the graph is technically correct.
Step-by-step explanation:
19.8 is greater than 5.5 by a lot, so 19.8 will look much bigger than 5.5.
If a fraction between 0 and 1 is multiplied by another fl fraction between 0 and 1, the product is greater than 1
Answer: False
Step-by-step explanation: If you multiply a fraction between 0 and 1 by another fraction between 0 and 1, the result would be smaller than 1.
For example, [tex]\frac{3}{5} * \frac{1}{2} = \frac{3}{10}[/tex]
[[(8-3)×2]+[(5×6)-5])÷5
Answer:
7
Step-by-step explanation:
=[(5)×2]+[(30)-5]÷5
=(10)+(25)÷5
=35÷5
=7
ill give lots of points if you help
The simplified fraction is -2 1/4
FractionsFrom the question, we are to evaluate the given fractions
The given fraction is
[tex]-1\frac{4}{5} + (-\frac{1}{4}) + (- \frac{1}{5} )[/tex]
Evaluating the fraction
[tex]-1\frac{4}{5} + (-\frac{1}{4}) + (- \frac{1}{5} )[/tex]
First, convert the mixed fraction to an improper fraction
[tex]-\frac{9}{5} + (-\frac{1}{4}) + (- \frac{1}{5} )[/tex]
Now, clear the parentheses
[tex]-\frac{9}{5} -\frac{1}{4}- \frac{1}{5}[/tex]
Find the LCM of the denominators
The LCM is 20
Thus,
[tex]\frac{-36 - 5 - 4}{20}[/tex]
= [tex]\frac{-45}{20}[/tex]
= [tex]-2\frac{5}{20}[/tex]
= [tex]-2\frac{1}{4}[/tex]
Hence, the simplified fraction is - 2 1/4
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How you do this someone please help????
Answer:
a. Explicit: f(x) = 2x² +3. Recursive: f(-3) = 21; f(x) = f(x -1) +4x -2
b. Explicit: g(x) = 3x² -2x. Recursive: g(5) = 65; g(x) = g(x -1) +6x -5
Step-by-step explanation:
Given two tables of values, you want to find the explicit and recursive formulas for those values.
General approachWhen the x-values are consecutive integers, as they are in these tables, it is usually useful to look at the first difference of the y-values. If those are constant, the table represents a linear function.
When the first differences are not constant, the exercise can be repeated. If the second differences are constant (as here), then the explicit formula will be a second-degree polynomial. The coefficients of the polynomial can be found different ways. We will describe one way here.
2nd degree explicit formulaThe constant second differences are double the leading coefficient of the quadratic that describes the relation between x and y. Knowing this, we can see how well the 2nd degree term by itself represents the relation. To that end, we have added to the table columns for the difference between the y-value and the 2nd degree term (y1 -ax^2), and the difference of those differences (diff).
Explicit formula, Table AThe attachment shows the first second difference of the values of Table A is 4. That means our first approximation of the sequence will be (4/2)x². The next column shows us this is always 3 less than the value of y, so our explicit formula can be ...
f(x) = 2x² +3
Explicit formula, Table BThe attachment shows the first second difference of the values of Table B is 6. That means our first approximation of the sequence will be (6/2)x². Subtracting this from the value of y, we find an arithmetic sequence that has a common difference of -2, and a value of -10 when x=5.
The explicit formula for an arithmetic sequence with a first term a1 and a common difference d is ...
an = a1 +d(n -1) . . . . . . where 1 is the x-value of the first term
Our sequence of differences doesn't start with x=1, but with x=5. This means our explicit formula will be ...
g(x) = 3x² +(-10 +(-2)(x -5))
g(x) = 3x² -2x
2nd degree recursive formulaA recursive formula is one that expresses a given term as a function of previous terms of the sequence. When the sequence is 2nd degree, as here, we know the difference from one term to the next is an arithmetic sequence. Thus we can write the formula for a term as the sum of the previous term and a value that depends on the term number.
The explicit formula for the arithmetic sequence of differences has the form shown above. For the purpose here, the difference from the previous term is shown on the line above the x-value.
Recursive formula, Table AThe applicable sequence of first differences has first term -10 and common difference 4. The first of the differences of consequence corresponds to x=-2, so can be written ...
d(x) = -10 +4(x -(-2)) = 4x -2
Then the recursion relation is
f(x) = f(x -1) +d(x) = f(x -1) +4x -2
And the recursive formula is ...
f(-3) = 21; f(x) = f(x -1) +4x -2
Recursive formula, Table BThe applicable sequence of first differences has first term 31 and common difference 6. The first of the differences of consequence corresponds to x=6, so can be written ...
d(x) = 31 +6(x -6) = 6x -5
Then the recursive formula is ...
g(5) = 65; g(x) = g(x -1) +6x -5
In the following expression, the 2 distributes to the 3 and to the 4:
(2) (3+4) = (2) (3) + (2) (4)
true or false
Answer:
True
Step-by-step explanation:
(2) (3+4) = (2) (3) + (2) (4)
(2) (3+4)=2(7)=14
(2) (3) + (2) (4)=6+8=14
14=14 √
An animal shelter needs to buy 6 pounds of cat food for every cat they have. Complete the following table of cats to pounds of cat food. Cats. Lbs of cat food
0
8
90
96
102
30
Answer:
An animal shelter needs to buy 6 pounds of cat food for every cat they have. Complete the following table of cats to pounds of cat food. Cats. Lbs of cat food
0
Step-by-step explanation:
Answer:
an animal shelter needs to buy 6 pound of cat food for every cat they have . The following table of cat to pounds of cat food
Step-by-step explanation:
Find the greatest common factor of 60y^8, 40y^4, 20y^5 and 80y^5.
Answer:
20
Step-by-step explanation:
The common factors for 60,40,20,80 60 , 40 , 20 , 80 are 1,2,4,5,10,20 1 , 2 , 4 , 5 , 10 , 20 . The GCF for the numerical part is 20 .
How does a flow proof show logical steps in the proof of a conditional statement?
The way a flow proof shows logical steps in the proof of a conditional statement is; A flow proof organizes statements in logical order, starting with the given statements. Each statement has its reason written below it and arrows are used to indicate the order of the statements.
What is a Flow Proof?
A flow proof uses a diagram to show each statement leading to the conclusion. Arrows are drawn to represent the sequence of the proof. The layout of the diagram is not important, but the arrows should clearly show how one statement leads to the next. The explanation for each statement is written below the statement.
A flow proof organizes statements in logical order, starting with the given statements. Each statement has its reason written below it and arrows are used to indicate the order of the statements.
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What is 8112 divided by 13
Answer:624
Step-by-step explanation:
Answer:
624
Step-by-step explanation:
You collect coins. One of your favorite coins is a silver-colored coin showing a man's portrait. The radius of the coin is 12 millimeters. What is the diameter of the coin? What is the circumference of the coin? What is the area of the coin?
The circumference is 150.72 millimeters and the area is 1808.64 square millimeters
What is the diameter of the coin?The radius of the coin is given as
r = 12 millimeters
The diameter of the coin is calculated as
Diameter = 2 * r
So, we have
Diameter = 2 * 12 millimeters
Evaluate
Diameter = 24 millimeters
What is the circumference of the coin?The circumference of the coin is calculated as
C = 2πr
So, we have
C = 2 * 3.14 * 24
Evaluate
C = 150.72 millimeters
What is the area of the coin?The area of the coin is calculated as
A = πr²
So, we have
A = 3.14 * 24²
Evaluate
A = 1808.64 square millimeters
Hence, the circumference is 150.72 millimeters and the area is 1808.64 square millimeters
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Subtract.
3−11−(−6)
whats the answer im confused
Answer:
-2
Step-by-step explanation:
3−11−(−6)=
3-11= -8
-8-(-6)
the two minus become plus so
-8+6= -2
Rory has 6 lbs ground turkey to make meatballs.he uses 5/8 lb
Write the prime factorization of 16. Use exponents when appropriate and order the factors from least to greatest
Answer: 2⁴
Step-by-step explanation:
The factors of 16 are 1, 2, 4, 8, and 16. The prime factors of 16 as a product can be written as 2 × 2 × 2 x 2 or 2^4, where 2 is the prime number.