Answers
1) The intersection of sets A and B is; A ∩ B = {1, 3}
2) The complement of set A is; A' = {4, 5, 6, 9, 10}
How to interpret Mathematical Sets?
We are given the sets;
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 3, 7, 8}
B = {1, 3, 9, 10}
1) The intersection of sets A and B simply means the numbers that are common to both sets. Thus;
A ∩ B = {1, 3}
2) The complement of set A is defined as the set that contains the elements present in the universal set but not in set A. Thus;
A' = {4, 5, 6, 9, 10}
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Related Questions
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
Answers
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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The measure of an angle is 11 times the measure of its complementary angle. What is the measure of each angle?
Answers
Answer:
Angle: 82.5°
Complement of the angle: 7.5°
Step-by-step explanation:
Set the complement of the angle as ∠x. The angle itself is 11 * m∠x.
Thus:
m∠x + 11 * m∠x = 90
12 * m∠x = 90
m∠x = 7.5°
So, the complement must be 7.5° and the angle itself must be 82.5°.
Sandra calculated her taxable income as $39,250. She paid $6,000 in federal withholding tax. And you are single Your tax is If line 43 (taxable income) is At least But less than 39,200 39,250 39,250 39,300 39,300 39,350 39,350 39,400 5,931 5,944 5,956 5,969 Based on the table above, what is the amount Sandra will receive as a refund?
Answers
Answer: 56
Step-by-step explanation:
6,000-5,944=
because 6,000 is how much she paid, but she only owed 5,944 so the the difference is what her refund is.
Question: An expression is shown below: f(x) = x^2 – 6x + 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.
Answers
given a parabola in standard form
y
=
a
x
2
+
b
x
+
c
then the x-coordinate of the vertex can be found using
∙
x
x
vertex
=
−
b
2
a
y
=
x
2
−
6
x
+
5
is in standard form
with
a
=
1
,
b
=
−
6
,
c
=
5
⇒
x
vertex
=
−
−
6
2
=
3
substitute this value into equation for y-coordinate
y
vertex
=
3
2
−
6
(
3
)
+
5
=
−
4
⇒
vertex
=
(
3
,
−
4
)
the axis of symmetry is vertical and passes through the
vertex with equation
x
=
3
to find x-intercepts let y = 0
⇒
x
2
−
6
x
+
5
=
0
the factors of + 5 which sum to - 6 are - 1 and - 5
⇒
(
x
−
1
)
(
x
−
5
)
=
0
equate each factor to zero and solve for x
x
−
1
=
0
⇒
x
=
1
x
−
5
=
0
⇒
x
=
5
⇒
x
=
1
and
x
=
5
←
x-intercepts
graph{(y-x^2+6x-5)(y-1000x+3000)=0 [-10, 10, -5, 5]}
PLS HELP WILL GIVE BRAINLIEST IF ANSWER IS RIGHT (NO LINKS)
Identify the surface area of the composite figure to the nearest tenth.
Answers
Answer:
D.
Step-by-step explanation:
6a² = surface area for cube
6(5)² = 150
2\(\pi\)(r)(h)+2\(\pi\)r² = surface area cylinder
2\(\pi\)(2)(3)+2\(\pi\)(4) = 20pi
150 + 20pi = 212.8318531
Question 5 of 6
What is the next number in the sequence below?
60, 48, 36, 24,?
A. 12
B. 6
ОО
C. 36
O D. 18
Answers
Step-by-step explanation: Cause we have to subtract because let see 48+12=60 so we have to subtract each numbers with 12.
39. Solve for x. SHOW ALL WORK FOR FULL CREDIT m n 6x-4 112°
Answers
Answer:
x = 12
Step-by-step explanation:
6x - 4 and 112 are same- side interior angles and sum to 180° , that is
6x - 4 + 112 = 180
6x + 108 = 180 ( subtract 108 from both sides )
6x = 72 ( divide both sides by 6 )
x = 12
Answer:
x = 12
Step-by-step explanation:
Consecutive Interior Angles Theorem
When a straight line intersects two parallel straight lines, the consecutive interior angles formed are are supplementary (sum to 180°).
Therefore:
⇒ 6x - 4 + 112 = 180
⇒ 6x + 108 = 180
⇒ 6x + 108 - 108 = 180 - 108
⇒ 6x = 72
⇒ 6x ÷ 6 = 72 ÷ 6
⇒ x = 12
Give your answer in scientific notation using only WHOLE numbers.
Answers
The number of pennies weighing as much s earth is 193 × 10²⁴
What are index forms?Index forms are described as described as those forms that are used to represent numbers that are too large or small in more proper ways.
Other names for index forms are scientific notation and standard forms.
What is ratio?Ratio is described as the comparison of numbers or variables on the basis of their size.
It shows how many times one number contains another.
From the information given, we have that;
The earth weighs = 5. 972 × 10 ²⁴ kilograms
The penny weighs = 3.1 × 10 ⁻³ kilograms
Divide the values
= 5. 972 × 10 ²⁴/3.1 × 10 ⁻³
= 1.93 × 10 ²⁶
= 193 × 10²⁴
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Please help:
89345+7899-5/2*8=?
Answers
Cancel gcf and evaluate
89345+7899-20
Solution
97224
Answer:
97224
Step-by-step explanation:
BODMAS
B ×
O ×
Division (5/2)
Multiplication (5/2*8)
Addition (89345+7899)
S ×
Do it in this order
GIVING BRAINLIEST IF CORRECT PLEASE HELP ASA[P
Answers
Answer:
A) b= 8 students
B) 1) 19/55 2) 28/55
Step-by-step explanation:
I'm sorry if I'm getting this whole concept wrong cause it felt way too easy to be right so I'm sorry if you get it wrong.
The reason the first question is 8 is because of the fact that you first have to add the students charted on the Venn-diagram and subtract that from 55, getting you to 8 students.
For the second one, the first part would be 19/55 becuase in the Venn-diagram it is shown that only 19 people passed both and so that be the numerator and the denominator would be the total of students, so it would be 55.
Same thing for part two except the fact that you have to add the students who only passed one subject, so combine 17 and 11, getting you to 28, thus getting the answer 28/55.
Donna just put 27.43 gallons of fuel into her car. There were 1.7 gallons in the car to begin with. how much furl is in donnas car now?
Answers
Answer:
29.13
Step-by-step explanation:
Gallons put = 27.43
Gallons at the start= 1.7
Total Gallons of fuel = 27.43 + 1.7
=> 27.43 + 1.7
=> 29.13
MATH
Systems of Linear Equations
1. Determine if each system of equations below is linear or nonlinear.
A. -9x+8y = 9x 7y+8=8x
Linear or nonlinear?
D. 6y+x=12 y-x=1-x
B.
2.3y+1.2x = 0
1.1x+0.1y 1.2
C.
2 7-3y=- 2x+9= 3y
Linear or nonlinear?
Linear or nonlinear?
E. 45x + y = 12 y+x² = 1-x²
Linear or nonlinear?
G
0.2x+9.1y9.1√x
7x+1=8√y
Linear or nonlinear?
F. x+8y = 81 x-7y = 32
Linear or nonlinear?
H.
98317y= 1010 + 2965x
-71389y=5692x - 1001
3 xx y-5= 1 zy+3x=-21
Linear or nonlinear?
Linear or nonlinear?
Linear or nonlinear?
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.
A.
B.
Solution:
Solution:
C.
D.
Solution:
Solution:
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.
A.
B.
Solution:
Solution:
C.
D.
Solution:
Solution:
Answers
The system of equations -9x+8y = 9x and 7y+8=8x is linear.
A system of equations is considered linear if each equation in the system is linear, meaning that the highest power of any variable in each equation is 1.
In this case, the first equation -9x+8y = 9x is linear because the highest power of any variable is 1 (x is raised to the first power).
Similarly, the second equation 7y+8=8x is also linear because the highest power of any variable is 1 (x is raised to the first power and y is not raised to any power).
Therefore, the system of equations is linear.
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Suppose there is a pile of quarters dimes and pennies with a total value of $1.07 how much of each coin can be present without being able to make change for a dollar? Of there are multiple selections of the coins that will work choose the selection with the largest total numbers of coins?
Explain why $1.19 is the greatest amount of money it is possible to have without being able to make change for a dollar.
Answers
Answer:
Let's start by assigning variables to the number of quarters, dimes, and pennies, respectively, in the pile. We can represent these variables as q, d, and p. Then we can set up two equations based on the information given:
0.25q + 0.1d + 0.01p = 1.07 (total value of coins is $1.07)
q + d + p = n (total number of coins is some integer n)
We want to find the values of q, d, and p that satisfy these equations and also make it impossible to make change for a dollar (i.e., there is no combination of these coins that add up to exactly $1.00).
To maximize the number of coins, we want to minimize the value of each coin. Since we are dealing with quarters, dimes, and pennies, we can start by assuming that there are no nickels in the pile (since a nickel is worth more than two pennies). In other words, we want to express 1.07 as a sum of quarters, dimes, and pennies using the fewest possible coins.
One way to do this is to start with as many quarters as possible, then add dimes until we get as close to $1.07 as we can without going over, and then fill in the rest with pennies. If we start with 4 quarters (which is the most we can have without making change for a dollar), we have $1.07 - $1.00 = $0.07 left to make up with dimes and pennies. We can add one dime (since 2 dimes would put us over $0.07), which leaves us with $0.07 - $0.10 = $0.03 to make up with pennies. We can use three pennies to make up the remaining $0.03.
So the solution is q = 4, d = 1, and p = 3. We can check that this satisfies the equations:
0.25(4) + 0.1(1) + 0.01(3) = 1.07
4 + 1 + 3 = 8
Therefore, there are 4 quarters, 1 dime, and 3 pennies in the pile, and this is the largest number of coins that can be used to make a total value of $1.07 without being able to make change for a dollar.
As for why $1.19 is the greatest amount of money it is possible to have without being able to make change for a dollar, this is because any amount of money that is a multiple of $0.05 can be made up with nickels and pennies. For example, if we have $1.10, we can make change for a dollar with 2 dimes and 5 pennies, or with 1 nickel and 5 pennies. But if we have $1.15, we can make change for a dollar with 2 dimes and 5 pennies, or with 1 dime, 1 nickel, and 5 pennies. In other words, any amount of money between $1.05 and $1.20 can be made up with nickels, dimes, and pennies, so the largest amount of money we can have without being able to make change for a dollar is $1.19.
what is the meaning of sequence in mathematic and
Answers
Answer:
A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.
Step-by-step explanation:
You and your friend's choice to take a bus back home, each 2 miles you have to pay 60 cents, write this in an Equation
Answers
Answer:
Step-by-step explanation:
Let x be the number of miles you and your friend travel.We know that the cost of the bus ride is 60 cents per mile, so the total cost of the trip is 60 * x.This can be written as an equation as follows:Cost = 60 * xOr, more simply:Cost = 60xThis equation represents the relationship between the number of miles you and your friend travel and the cost of the trip. As the number of miles increases, the cost of the trip also increases at a rate of 60 cents per mile.
3.
Find the indicated Matrix, if possible. Show and explain your work.
3A +B
a={5,2}
b={7 1}
{5 0}
Answers
The matrix 3A + B cannot be defined, as 3A and B have different dimensions, hence they cannot be added.
What is the matrix in math?When we add two matrices, we add the equivalent elements, that is, the elements at the same position in each matrix, hence for the addition of matrices they should have the same dimensions.
The matrices are given by:
3a: 3[5 2]' = [15 6].
b = [7 1;5 0].
With the ; indicating a new line, hence they have different dimensions(A 2 x 1 and B 2 x 2), so the matrix 3A + B cannot be defined.
Therefore, the matrix 3A + B cannot be defined, as 3A and B have different dimensions, hence they cannot be added.
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The simple interest on a sum of money invested 6 months at 5% per annum is $1680. Determine the amount of money invested.
Answers
Answer:
9514 1404 393
Answer:
$67,200
Step-by-step explanation:
The amount if interest is given by the formula ...
I = Prt
where P is the amount invested, r is the annual rate, and t is the number of years. Here, we want to find P when r = 0.05 and t = 1/2 such that I = 1680.
P = I/(rt) = $1680/(0.05·0.5) = $1680/0.025
P = $67,200
The amount invested was $67,200.
Step-by-step explanation:
if a triangle has one side with a length of 20 meters and a second side with a length of 18 meters
Answers
Answer:
see attached
Step-by-step explanation:
You want the possible lengths of the third side of a triangle with side lengths 20 m and 18 m.
Triangle inequalityIf the third side is length c, the triangle inequality requires ...
18 +c > 20 ⇒ c > 2
20 +c > 18 ⇒ c > -2
18 +20 > c ⇒ c < 38
The possible lengths for the third side (c) are ...
2 < c < 38
That is, the third side must lie between the difference and the sum of the given sides.
The attachment shows the values on the list that are in this range.
6 − 2x + 8 + 3x = ______
Answers
Answer:
x+14
Step-by-step explanation:
I added the both sides that has x together and the other numbers together
AsAp need helllpppppppp
Answers
The value of x is 31/64 or 0.484375 and the value of 61/64 is given by adding the value of 29/64 and 31/64 which is 0.9375.
How to convert a fraction to a decimal?To convert a fraction to a decimal, you need to divide the top number by the bottom number. Here are the steps to follow:
1. Fraction should be written as numerator (top) divided by denominator (bottom).
2. Divide the numerator by the denominator using long division or a calculator.
3. Keep dividing until you get a decimal that terminates or repeats.
a) The given equation is
\(\frac{61}{64} = \frac{29}{64} + x\)
\(\frac{61}{64} - \frac{29}{64} = x\)
\(x = \frac{31}{64}\)
b) Now 31/64 = 0.484375 and given that 29/64 = 0.453125
Hence from the equation 61/64 = 29/64 + 31/64 = 0.453125 + 0.484375
= 0.9375.
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Use the Laws of logarithms to rewrite the expression
Answers
The expression log₃(x²∛y²) using the laws of logarithms is 2log₃(x) + 2/3log₃(y)
Rewriting the expression using the laws of logarithmsFrom the question, we have the following parameters that can be used in our computation:
log₃(x²∛y²)
The product law of logarithms states that
log(ab) = log(a) + log(b)
Using the above as a guide, we have the following:
log₃(x²∛y²) = log₃(x²) + log₃(∛y²)
The power law of logarithms states that
log(aᵇ) = blog(a)
Using the above as a guide, we have the following:
log₃(x²∛y²) = 2log₃(x) + 2/3log₃(y)
This means that the values of A and B are A = 2 and B = 2/3
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Your boss calls you and explains that your first visit is to the Barclays Center Stadium. Your boss says the Barclay center is approximately 670,760 square feet, she wants to create a rectangular shaped figure.
- The length of the Barclays Center is 819 feet and the width is 818 feet. However, you are going to use a scale of 1 inch = 100.50 feet. Find the area of the scale drawing.
Answers
Answer:
66.341 Feet
Step-by-step explanation:
length 819
width 818
(Length x width)
divide both by 100.5
819/100.5
818/100.5
8.14925373134
8.13930348259
round
8.15
8.14
length times width
8.15*8.14
66.341
The graph of the revenue function f(x) = –2x2 + 100x is shown to the left. In the function, revenue is dependent on the number of items sold, x. How do the mathematical and reasonable domains compare?
Answers
Answer:
C
Step-by-step explanation:
reasonable is 0 through 50.
mathematically the x values go to infinity both ways.
Is y=3/4x proportional?
Answers
Answer:
My answer is Yes
Step-by-step explanation:
calculate the angles of a triangle if the angle alpha is 16 ° greater than the angle beta and the angle gamma is 52 ° smaller than the beta GIVING BRANLIEST***
Answers
Answer:
88°, 72°, 20°Step-by-step explanation:
Angle alpha is 16° greater than the angle beta:
α = β + 16°Angle gamma is 52° smaller than the beta:
γ = β - 52Sum of angles is 180°, substitute α and β:
α + β + γ = 180°β + 16° + β + β - 52° = 180°3β - 36° = 180°3β = 216°β = 216°/3β = 72°Then
α = 72° + 16° = 88°γ = 72° - 52° = 20°taho play hockey every 2 days. And he plays lacrosse every 3 days. suppose taho plays hockey and lacrosse on october 1st. what are the next 3 dates he will be playing hockey .
Answers
October 5th
October 7th
Hope this is right… !
Solve using the quadratic formula. 9q2 + 6q + 1 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. q = or q =
Answers
The solution to the quadratic equation is given as follows: \(q = -\frac{1}{3}\)
What is a quadratic function?A quadratic function is given according to the following rule:
\(y = ax^2 + bx + c\)
The solutions are:
\(x_1 = \frac{-b + \sqrt{\Delta}}{2a}\)\(x_2 = \frac{-b - \sqrt{\Delta}}{2a}\)In which:
\(\Delta = b^2 - 4ac\)
In this problem, the equation is:
9q² + 6q + 1.
The coefficients are a = 9,b = 6, c = 1, hence:
\(\Delta = 6^2 - 4(9)(1) = 0\)
\(q_1 = \frac{-6 + \sqrt{0}}{2(9)} = -\frac{1}{3}\)
\(q_2 = \frac{-6 - \sqrt{0}}{2(9)} = -\frac{1}{3}\)
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subtract (-9x^2+7x+13) from (-17x^2-5x+3)
Answers
We have to substract an expression from another. We can write this as:
\(\mleft(-17x^2-5x+3\mright)-(-9x^2+7x+13)\)We can simplify this as:
\(\begin{gathered} (-17x^2-5x+3)-(-9x^2+7x+13) \\ -17x^2-5x+3+9x^2-7x-13 \\ (-17+9)x^2+(-5-7)x+(3-13) \\ -8x^2-13x-10 \end{gathered}\)Answer: if we substract these two expressions, we get -8x^2-13x-10.
is 3/10 greater than 5/8
Answers
Answer:
no, 5/8 is greater
Step-by-step explanation:
Answer:
No.
Step-by-step explanation:
If you find the LCM of both fractions, 3/10 would come out to be 15/50. 5/8 comes out to be 15/24.
15/50<15/24
3/10<5/8
Amanda is the owner of a small chain of dental offices. She sent out the yearly satisfaction survey to 600 randomly selected patients and received 544 surveys back. When looking through the results, she noticed that the downtown dental office staff had 84% of clients reporting satisfaction with services, while the uptown dental office staff had 76% of clients reporting satisfaction with services. Which of the following sets shows Amanda's null hypothesis and alternative hypothesis?
Answers
Answer:
Null Hypothesis: The proportion of clients satisfied at the uptown office is 76%.
Alternative Hypothesis: There is no difference in the satisfaction between the uptown and the downtown clients.
Null Hypothesis: The proportion of clients satisfied at the downtown office is greater than the proportion of clients satisfied at the uptown office.
Alternative Hypothesis: Downtown clients are less satisfied with the dental office staff than uptown clients.
Null Hypothesis: The proportion of clients satisfied at the downtown office is 84%.
Alternative Hypothesis: Uptown clients are more satisfied with the dental office staff than downtown clients.
Null Hypothesis: The proportion of clients satisfied at the downtown office is equal to the proportion of clients satisfied at the uptown office.
Alternative Hypothesis: There is a difference in the satisfaction between the uptown and the downtown clients.
Step-by-step explanation:
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