{1, 2, 3, 4, 5} {2, 4, 6, 8, 10} Please Help Which of the following shows the union of the sets?
Answers
Answer:
Step-by-step explanation:
hello
{1,2,3,4,5} ∪ {2,4,6,8,10} = {1,2,3,4,5,6,8,10}
hope this helps
Answer:
{1, 2, 3, 4, 5, 6, 8, 10}
Step-by-step explanation:
Union of the sets is the combination of the elements in the two sets.
{1, 2, 3, 4, 5} ∪ {2, 4, 6, 8, 10}
{1, 2, 3, 4, 5, 6, 8, 10}
Related Questions
explain 3 factors that should be considered in the construction of index numbers
Answers
1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.
2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.
3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`
construction of index number is also available in two parts:
1. simple
2. weighted
1. simple: the simple method is classified into simple aggregative and simple relative.
2. weighted: the weighted method is classified into a weighted aggregative and weighted average.
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Order the following numbers from least to greatest.
Put the lowest number on the left.
Your answer
-2 4 1 5
Answers
hope that helps!
Answer:
-2,1,4,5
Step-by-step explanation:
Use linear approximation, i.e. the tangent line, to approximate 3√ 125.2 as follows: Let f(x)=√x. The equation of the tangent line to f(x) at x = 125 can be written in the form
y=mx+b
Answers
Using linear approximation, the expression √125.2 can be approximated as approximately 10.02.
How to find linear approximation?To find the equation of the tangent line to the function f(x) = √x at x = 125, determine the slope (m) and the y-intercept (b) of the tangent line.
First, find the slope (m) using the derivative of the function f(x) = √x:
f'(x) = 1 / (2√x)
Evaluate the derivative at x = 125:
f'(125) = 1 / (2√125) = 1 / (2 × 5) = 1/10
Now, find the y-coordinate of the point on the function f(x) at x = 125:
f(125) = √125 = 5
So, the tangent line at x = 125 passes through the point (125, 5) and has a slope of 1/10.
Using the point-slope form of a linear equation, the equation of the tangent line can be written as:
y - 5 = (1/10)(x - 125)
To simplify, multiply through by 10:
10y - 50 = x - 125
Rearranging the equation, express it in the form y = mx + b:
y = (1/10)x - 75/10 + 5
Simplifying further:
y = (1/10)x - 75/10 + 50/10
Combining the terms:
y = (1/10)x - 25/10
Therefore, the equation of the tangent line to f(x) = √x at x = 125 is y = (1/10)x - 25/10.
Now, use this tangent line to approximate the value of √125.2:
Substitute x = 125.2 into the equation:
y = (1/10)(125.2) - 25/10
y = 12.52 - 2.5
y ≈ 10.02
So, using linear approximation, approximate √125.2 as approximately 10.02.
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I don't understand how the problem wants me to set up the equation, much less how to find the right answer.
Answers
V=4/3piR^3 where r = radius
So we know we just need to plug the given equation for radius.
Where radius = 2x^3y^-4
V= 4/3pi(2x^3 * y^-4)^3
Remember the exponent rule: (a*b)^n = a^n*b^n
Also remember the negative exponent rule
X^-n = 1/x^n
Now with this:
V= 4/3 * pi(8x^9/y^12)
V= 32pi*x^9/3y^12
Or A
Calculate the price of a zero-coupon bond that matures in five years if the market interest rate is 7.50 percent. (Assume semiannual
compounding and $1,000 par value.)
Multiple Choice
Answers
Based on the information given, the price of the zero coupon bond is $692.04.
How to solveTo calculate the price of a zero coupon bond, we need to use the following formula:
\(\sf P =\dfrac{F}{1+r\div n}^{(nt)\)
Where:
P = price of the bondF = face value of the bondr = annual interest raten = number of compounding periods per yeart = time to maturity in yearsAlso, the annual interest rate is 7.50%, which is the market interest rate, and the compounding is semiannual, which means n = 2. Finally, the time to maturity is 5 years.
Plugging in the values into the formula, we get:
\(\sf P = \dfrac{1000}{(1+0.075\div2)^{(2\times5)}}\)
\(\sf P = \dfrac{1000}{(1.0375)^{10}}\)
\(\sf P = \dfrac{1000}{1.4450}\)
\(\sf P = \$692.04 \ \ (rounded \ to \ the \ nearest \ cent)\)
Therefore, the price of the zero coupon bond is $692.04.
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the sum of three consecutive numbers is 114 . what is the smallest of these numbers
Answers
Answer:
x + (x+1) + (x+2) = 114
3x = 111
x = 37
the numbers are 37, 38 and 39
the smallest number is 37
Step-by-step explanation:
3x=111
X=37
The number are 37,38 and 39
The smallest number 37
The inequality log8(2x) < log2(x – 2) can be graphed on the graphing calculator by using the inequalities log8(2x) < y and y < log2(x – 2). What is the solution set of the inequality? (0, 4) (–∞, 4) (4, ∞) (–∞, 0]
Answers
Answer:
c - (4, ∞)
Step-by-step explanation:
answer on edg
Answer:
Answer is choice C . (4, ∞)
Step-by-step explanation:
on edge
A house was valued at $299,000 . Over several years, the value decreased by, 9% giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal.
(b) Use your answer in part (a) to determine the new value.
Answers
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
Step-by-step explanation:Make A Plan:
A) - Calculate the Percentage of the Value Remaining After the Decrease
B) - Calculate the NEW VALUE of the house
SOLVE THE PROBLEM:
A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE
100% - 9% = 91%
As A DECIMAL:0.91
B) - Calculate the NEW VALUE of the house:
NEW VALUE = OLD VALUE * REMAINING PERCENTAGE
NEW VALUE = 299,000 * 0.91
Draw the conclusion:
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
I hope it helps!
Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.)
f(x) = 7/(1+x), a = 2
Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.]
f(x) = e−5x
f(x)=
[infinity]
n = 0
=
Find the associated radius of convergence R.
R =
Answers
Answer:
A) [ 7/3, (-7/9)(x/2), 7/27(x-2)^2, (-7/81)(x-2)^3 ]
B) attached below
Step-by-step explanation:
A) Using the definition of a Taylor series
The first four nonzero terms of the series for f(x) = 7/ (1 +x), a = 2
= [ 7/3, (-7/9)(x/2), 7/27(x-2)^2, (-7/81)(x-2)^3 ]
attached below is the detailed solution
B) Finding Maclaurin series for f(x)
f(x) = e^-5x
attached below
Associated radius of convergence = ∞ ( infinity )
Two books, A and B, are sold in three stores, X, Y and Z. The number of copies of book A sold in a month is 40, 20, and 60 from stores X, Y, and Z, respectively. The number of copies of book B sold is 10, 70, and 20 from X, Y, and Z, respectively. The profit from the sales of book A is $4, and the profit from the sales of book B is $1 for all the three stores. Which matrix represents the profit from the sales of book A for each store?
Answers
The matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.
The matrix representing the profit from the sales of book A for each store is as follows:
Store Book A
X $4
Y $4
Z $4
Therefore, the matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).
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Billy is making a curtain for his kitchen window. He bought 2 1/2
yards of fabric. His total cost was $15. What was the cost per yard?
Answers
The fabric has a cost per yard of $6 per yard
How to determine the cost per yard of the fabric?From the question, the given parameters are:
Yards of fabric = 2 1/2 yards
Cost of the fabric = $15
The cost per yard of the fabric is then calculated as
Cost per yard = Cost of the fabric/Yards of fabric
Substitute the known values in the above equation
So, we have
Cost per yard = 15/(2 1/2)
Evaluate the quotient
So, we have
Cost per yard = 6
Hence, the cost per yard is $6 per yard
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Select the correct answer.
If function gis defined by the equation y - 3x = -14, which equation represents the function in function notation?
OAS(X) = 3x - 14
OBX) = -3x - 14
Ос.
$(x) = 3x + 14
OD
8(x) = -3x + 14
Answers
NEED HELP ASAP i don’t know the answer
Answers
Answer:
Im not sure at all but i think that your answer should be x-3 or 98*
Step-by-step explanation:
Im not going to post all my explanation enought i have with investigate the answer >:v
A rectangular room is 1.3 times as long as it is wide, and its perimeter is 27 meters. Find the dimension of the room.
Answers
The dimensions of the room are approximately 5.87 meters by 7.63 meters.
Let's assume the width of the room is "x" meters.
According to the problem, the length of the room is 1.3 times the width, so the length would be 1.3x meters.
The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 27 meters.
Perimeter = 2(length + width)
Substituting the values we know:
27 = 2(1.3x + x)
Simplifying:
27 = 2(2.3x)
27 = 4.6x
Dividing both sides by 4.6:
x = 27 / 4.6
x ≈ 5.87
The width of the room is approximately 5.87 meters.
To find the length, we can multiply the width by 1.3:
Length = 1.3 * 5.87 ≈ 7.63
The length of the room is approximately 7.63 meters.
Therefore, the dimensions of the room are approximately 5.87 meters by 7.63 meters.
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24 = 3(n–5)
What is the answer
Answers
Step-by-step explanation:
24=3n-15 or,25+15=3n or,39=3n or,39/3=n or,n=13 therefore the value of n is 13. I think this answer is helpful for you
Answer: n = 13
Step-by-step explanation:
24=3(n-5) - First distribute the 3 to the n and the 5. Which you would than get 3n and -15
24=3n-15 - Now add the 15 to both sides which would cause it to cancel out on the left side of the equal side.
39=3n - Now divide the 3 from 3n on both sides of the equal side.
n=13 - Once you do that you will get n = 13. That is your answer!
Use the Distributive Property to expand the expression.
0.4(50m - 20n)
The simplified expression is
Answers
=20m - 8n
Answer:
20m-8n
Step-by-step explanation:
0.4*50m=20m
20+_
0.4*-20n=-8n
20m+-8n
20m-8n
Select the simplification that accurately explains the following statement: \sqrt[4]{2}=2\frac{1}{4}
![Select the simplification that accurately explains the following statement: \sqrt[4]{2}=2\frac{1}{4}](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/PSUnWXkWYV2L2F0EXVYPVUyUR3fyn88b.png)
Answers
Because
\( {a}^{m} \times {a}^{n} = {a}^{m + n} \)
A bottle of water has a diameter of 3 inches and a height of 8 inches, and a mass of 1250 g. What is the volume and density?
Answers
The volume of the bottle is 56.52 cubic inches, and the density is 22.12 g/in³.
What is the volume and density of the bootle water?The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 ).
Density is expressed mathematically as;
p = m / v
Where m is mass and v is volume.
Given that:
Diameter = 3 in
Radius r = diameter/2 = 3/2 = 1.5 in
Height h = 8 in
Mass m = 1250 g
Find the volume:
V = π × r² × h
V = 3.14 × (1.5 in )² × 8in
V = 56.52 in³
Find the density:
p = m / v
p = 1250g / 56.52 in³
p = 22.12 g/in³
Therefore, the density is 22.12 g/in³.
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non-irrelevantly answer, i will give brainliest for attemting to answer this question please help needed.
1) Provide one example of a technology or communication system that allows information to be transferred for each of these three transfer methods: human to machine; machine to human; and machine to machine. Briefly describe each of the three technologies
Answers
When you think of an electronic log book for workplaces they are like this. human to machine- The human is speaking to the machine through actions of logging in times etc. Machine to human- The machine will now send a response to the human saying that it is logged. Machine to Machine- The machine will use its software to dispose or disclose the information you have given it.
Find the angle of elevation of the sun if a building 100 feet tall casts ashadow 90 feet long. Round to the nearest degree.
Answers
SOLUTION
Let us give a pictorial view of the question.
Where
\(\theta\text{ is the angle of elevation}\)\(\begin{gathered} \tan \theta=\frac{opposite}{adjacent} \\ \tan \theta=\frac{100}{90} \end{gathered}\)\(\begin{gathered} \tan \theta=1.1111 \\ \theta=\tan ^{-1}(1.1111) \\ \theta=48.013^o \\ \theta=48^o(to\text{ the nearest degree)} \end{gathered}\)Therefore, the angle of elevation is 48 degrees.
Find a and b using the factor theorem.
\(f(x)=x^3+ax^2+bx-12\) has factor \((x-1), (x+1)\)
Answers
The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.
To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.
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Can someone please help me with this I don’t get it
Answers
Answer:
b,c,e,f is perfect square and other are not a perfect square
Answer: i'll show you how to do it.
Step-by-step explanation:
Is there any number that multiplied by itself gives you one of the options obove?
Example:
81 = 9×9... So it is a perfect square
36 = 6x6... It's a perfect square too
27 = ther isn't a number that multipied by itself is equal to 27... Then, it is not a perfect square
In a factory, 40% of k liters of acid are added to 60% of w liters of water.
Express the total volume of the solution as an algebraic expression. Pls help
Answers
Answer: (0.4k+0.6w)
Step-by-step explanation:
the answer would be (0.4k+0.6w) Since we do not know the values of k nor w, their coefficients cannot be added together.
The total volume of the solution as an algebraic expression is
0.4k + 0.6w.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount of acid added to the solution = 40% of k
Amount of water added to the solution= 60% of w
Now,
The total volume of the solution.
= 40% of k + 60% of w
= 40/100 x k + 60/100 x w
= 0.40k + 0.60w
Thus,
The volume is 0.4k + 0.6w.
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Write the pair of fractions has a pair of fractions with the common denominator 1/3 and 3/4
Answers
Answer:
4/12 and 9/12
Step-by-step explanation:
Hormones like to bind to what on the surface of cells? A. signals B. receptors C. towers
Answers
Answer: Protein receptors - B)
Step-by-step explanation:
Once hormones find a target cell, they bind with specific protein receptors inside or on the surface of the cell and specifically change the cell's activities.
2+2-2-2+2-4+2-2-2-2-2-2-3+10-12+13+23-20-12=?
Answers
Answer:
-11
Step-by-step explanation:
hope this helps!
Answer: -11
Step-by-step explanation:
93^2 -83^2
SMART CALCULATED
Answers
Answer:
Step-by-step explanation:
-1760 is the answer 83 times 83 minus 93 times 93 is -1760
what is 0.832 divided by 0.64
Answers
The answer is 1.3
NEED THE ANSWERS FAST PLEASE
In Exercises 13 and 14, find a possible pair of integer values for a and c so that
the quadratic equation has the given number and type of solution(s). Then write
the equation.
13. ax² − 3x + c = 0; two real solutions
-
14. ax² + 10x + c = 0; two imaginary solutions
15. Determine the number and type of solutions to the equation 2x² - 8x = -15.
A. two real solutions
B. one real solution
C. two imaginary solutions
D. one imaginary solution
In Exercises 16 and 17, use the Quadratic Formula to write a quadratic equation
that has the given solutions.
16. x
10 ± √√-68
14
17. x =
-3±i√√7
8
In Exercises 18-21, solve the quadratic equation using the Quadratic Formula.
Then solve the equation using another method. Which method do you prefer?
Explain.
18. 7x² + 7 = 14x
20. x² + 2 = -x
19. x² + 20x = 8
21. 8x² - 48x + 64 = 0
22. The quadratic equation x² + x + c = 0 has two imaginary solutions. Show that
the constant c must be greater than 1.
Answers
Answer:
Step-by-step explanation:
the degree of a polynomial determines 1:1 the number of solutions.
a quadratic equation (degree 2) has 2 solutions.
the general solution is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = -4
b = -4
c = -1
so,
x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)
when we look at the square root
16 - 16
we see that it is 0.
the square root of 0 is 0, and there is no difference between -0 and +0.
so, we get only one (real) solution : 4/-8 = -1/2
but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.
so, I am not sure what your teacher wants to see in this case as answer.
my answer would be 2 real identical solutions. did this help?
f f(x) = x2 + 1 and g(x) = x – 4, which value is equivalent to (f circle g) (10)?
37
97
126
606
Answers
Functions f(x) = x² + 1 and g(x) = x – 4, the value equivalent to f(g(10)) is, 37
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
f(x) = x² + 1
g(x) = x – 4
f(g(10)) = ?
f(g(x)) = (x - 4)² + 1
= x² - 8x + 16 +1
= x² - 8x + 17
f(g(10)) = 10² - 8×10 + 17
= 100 - 80 + 17
= 37
The value of f(g(10)) is 37
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