Answers
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} )
Related Questions
MC
Graw
Hill
Education
Sample Spaces . Practice Item Bank
>
a
Question 7 of 12 V
Classify the sample space as finite or infinite. If it is finite, write the sample space. If it is infinite, classify whether it is discrete or continuous.
8 1
7
2
6
3
5
4
A numbered spinner with esht equal parts is spun until it lands on 2.
Select Choice
Select Choice
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Answers
Answer:81
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The notation Σ-2 (3η + 5) is incorrect for representing the arithmetic series 8 + 11+ ... + 29.
The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:
Σ_{i=1}^{11} (6i + 2)
The series has 11 terms, and each term can be found by adding 3 to the previous term, starting with the first term 8. Therefore, the general form of the series is 6i + 2, where i represents the index of the term in the series.
In contrast, the notation Σ-2 (3η + 5) appears to have multiple errors. The use of a negative index (-2) is not valid, as the index should start from 1 or 0. Also, the use of the Greek letter eta (η) instead of i as the index variable is unconventional and likely to cause confusion. Finally, the expression inside the parentheses does not appear to correspond to the terms of the arithmetic series.
The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:
Σ_{i=1}^{11} (6i + 2)
To explain the error in the given notation Σ-2 (3η + 5), we can break it down as follows:
The use of a negative index (-2) is incorrect. The index of summation should always be a non-negative integer.
The use of the Greek letter eta (η) instead of i as the index variable is unconventional and may cause confusion or errors.
The expression inside the parentheses, 3η + 5, does not represent the terms of the arithmetic series. In particular, it does not involve the index variable i or the common difference 3.
Therefore, the correct notation for the given arithmetic series is Σ_{i=1}^{11} (6i + 2).
Hey what is 10(4/24 - 9) - 7.45
Answers
Answer
\( - 95.783\)
Alberta purchases a new flower and finds that it is 12 inches tall. She also begins tracking its height
over time and finds that it grows at a rate of 2.3%. If Alberta wants to continue to track it's growth,
which function would she use in order to do so?
Answers
Answer:
exponential function
\(f(x) = 12 \cdot 1.023^t\)
Step-by-step explanation:
General exponential function \(f(x)=a \cdot b^x\)
where a is the initial value, b is the rate of increase/decrease (growth/decay factor), and t is time
Given:
a = 12b = 102.3% = 1.023\(f(x) = 12 \cdot 1.023^t\)
Sam can prepare 30 wall paintings in four weeks.How much time will he need to do 90 wall painting s
Answers
explanation: if he can do 30 paintings in 4 weeks then find out if 30 can go into 90. since it can when you multiply it by 3, then also multiply 4 by 3 since he needs 3 times more than the original amount. in total, he will need 12 weeks
What is the factorized term of this problem?
9 / 4(6) • 3x + 2y
Will give the crown
Answers
Answer:
81x/2 + 2y
Step-by-step explanation:
2. Answer each of the following based on the scenario below.
Scenario: You bought a car this year for $13,000. Unfortunately your car loses 25% of
-
its value every year.
a.
Does this scenario represent exponential growth or decay? Decay
b. What is the initial value of your savings account?$13,000
aishof wolse Hadapterit
c. What is the growth/decay factor? 25
d. Create a function in exponential form that models how much your car will be worth after x
year.
f(x) =
e. After 3 years how much will your car be worth?
f. After 8 years how much will your car be worth?
Answers
correct, is Decay and the initial amount is 13000, rate is 25%
\(\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^x\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &13000\\ r=rate\to 25\%\to \frac{25}{100}\dotfill &0.25\\ x=years \end{cases} \\\\\\ A=13000(1 - 0.25)^{x}\implies \boxed{A=13000(0.75)^x} \\\\\\ \stackrel{\textit{after 3 years}}{A=13000(0.75)^3}\implies A\approx 5484.38~\hfill \stackrel{\textit{after 8 years}}{A=13000(0.75)^8}\implies A\approx 1301.47\)
Solve the system of three linear equations containing three unknowns.
x - 3y + 4z = 25
2x + y + z =
8
- 2x + 3y - 32 = -24
Answers
Answer:
sorry
Step-by-step explanation:
I don't know how to solve it
X=25+3y-4z
Y=x+4z-25
—————
3
2x+y8z=8
x=− Y - z+4
— —
2 2
y=8−z−2x
-2x+3y-32=-24
X= 3y
—- -4
2
Y= 2(x+4)
——
3
Please help with this!
Answers
Answer:
k = 18°
Step-by-step explanation:
the upper right interior angle of the triangle and 81° are alternate angles and are congruent
upper right interior angle = 81°
since the 2 legs of the triangle are congruent then the triangle is isosceles with base angles being congruent , so
lower right interior angle = upper right interior angle = 81°
the sum of the 3 angles in the triangle = 180° , that is
k + 81° + 81° = 180°
k + 162° = 180° ( subtract 162° from both sides )
k = 18°
Answer:
Step-by-step explanation:
If the other two angles of the triangles are 81 ( isoceles triangle ) then 180 - 81 - 81 = 18
In circle S with m/RUT = 17°, find the m/RST.
S
U
Q
R
T
Answers
The value of measure of ∠ RST is,
⇒ ∠ RST = 34°
We have to given that;
In circle S with m ∠RUT = 17°
Hence, We get;
⇒ ∠ RST = 2 × ∠ RUT
⇒ ∠ RST = 2 × 17°
⇒ ∠ RST = 34°
Thus, The value of measure of ∠ RST is,
⇒ ∠ RST = 34°
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A student takes an 18-question, multiple-choice exam with five choices for each question and guesses on each question. Assume the variable is binomial. Part: 0 / 20 of 2 Parts Complete Part 1 of 2 Find the probability of guessing at least 9 out of 18 correctly. Round the answer to at least four decimal places.
Answers
Answer:
Probability of getting at least 9 out of 18 correctly is 0.0043
Step-by-step explanation:
We have
n = 18
p = 1/5 for correct answer
q = 4/5 for wrong answer
P( 9 \(\leq\) X \(\leq\) 18) = 1 - P(0 \(\leq\) X\(\leq\) 8)
= 1 - 0.9957
=0.0043
Write 2^100 as a power with the following base.
4
Answers
Answer:4^50
Step-by-step explanation:
Since 4 is twice as much as 2, you would divide 100/2 which would equal 50. Therefore, you get 4^50.
Question
A line with a positive slope Is parallel to one of the lines shown. What is its slope? Use the graph shown
below.
The slope is
Answers
Answer:
¼
Step-by-step explanation:
The slope of the line which is positive, will be the same as the slope any of the given line that has a positive slope also.
Thus, how do we know which line we should we calculate the slope for? The line that shows a positive slope would be the line we are to calculate the slope.
The blue line shows a positive slope. We know this because positive slope usually slants up as from our left to our right.
The red line has a negative slope. It slants down from left to right.
Next, find the slope of the blue line using the coordinates of any two points on the line. Let's use the following points, (0, 2) and (4, 3)
\( slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 0} \)
\( slope(m) = \frac{1}{4} \)
The slope of the line that is parallel to the blue line is ¼.
What is the seventh term in the arithmetic sequence defined by the explicit formula an=5n+3
Answers
Answer:
a7 equals 35 +3=38
Step-by-step explanation:
5times7 is 35
u sub 7 for n
PLEASE ANSWER QUESTION
Answers
Answer:
1.) y=-2x+4
2.) y=1x-1
Step-by-step explanation yw
What is the relative change from Ohio to Indiana if Indiana has 6546 new mathematics teachers and Ohio has 4392 new mathematics teachers?
Answers
The relative change from Ohio to Indiana in terms of new mathematics teachers is approximately 49.08%. This indicates that Indiana has experienced a significant increase compared to Ohio in the number of new mathematics teachers.
To calculate the relative change from Ohio to Indiana in terms of new mathematics teachers, we need to determine the percentage increase or decrease in the number of teachers between the two states.
The relative change can be calculated using the formula:
Relative Change = (New Value - Old Value) / Old Value * 100
Let's apply this formula to the given data:
Ohio: Old Value = 4392
Indiana: New Value = 6546
Relative Change = (6546 - 4392) / 4392 * 100
Simplifying the equation:
Relative Change = 2154 / 4392 * 100
Relative Change ≈ 0.4908 * 100
Relative Change ≈ 49.08%
The relative change from Ohio to Indiana in terms of new mathematics teachers is approximately 49.08%. This indicates that Indiana has experienced a significant increase compared to Ohio in the number of new mathematics teachers.
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Help due soon plss!!!!
Answers
Answer:
Cube=150cm^2
Triangular Prism=228ft^2
Step-by-step explanation:
Cube
\(A=6a^2=6*5^2=150cm^2\)
Triangular prism
Using these formulas
\(A=2A_{B}+(a+b+c)h\\A_{B} =\sqrt{s(s*a)(s*b)(s*c)} \\s=\frac{a+b+c}{2}\)
Solving for A
\(A=ah+bh+ch+\frac{1}{2} \sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4} \\=6.5*11+5*11+6.5*11+\frac{1}{2} *\sqrt{-6.5^4+2*(6.5*5)^2+2*(6.5*6.5)^2-5^4+2*(5*6.5)^2-6.5^4} \\=228ft^2\)
ΔABC and ΔJLK have two sets of congruent angles. Are these triangles congruent or not? How do you know?
Answers
Answer:
I think that yes they are, but I maybe wrong.
Step-by-step explanation:
I believe that this is true because of the Angle-Angle congruence theorem.
What the meaning of "a sequence of length n"?
Answers
In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.
What the meaning of "a sequence of length n"?The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."
When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.
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You want to buy an ordinary annuity that will pay you R4,000 a year for the next 20 years. You expect annual interest rates will be 8 percent over that time period. The maximum price you would be willing to pay for the annuity is closest to A. R32,000
Answers
The solution is, PV= $45,879.68.
Here, we have,
Explanation:
Giving the following information:
Cash flow= $4,000 annually
n= 20
i= 6% compunded annually
The maximum that an investor should pay is the present value (PV).
First, we need to calculate the future value using the following formula:
FV= {A*[(1+i)^n-1]}/i
A= annual cash flow
FV= {4,000*[(1.06^20) - 1]} / 0.06
FV= $147,142.36
Now, we can calculate the present value, we need to use the following formula:
PV= FV/(1+i)^n
PV= 147,142.36/(1.06^20)
PV= $45,879.68
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complete question:
Assuming you are a rational investor, the amount you should be willing to pay for a 20-year ordinary annuity that makes payments of $4,000 per year and you require a 6% rate of return per year is closest to:
Find f(-3) when f(x) = 4x-2x-7.
Answers
Answer:
-13
Step-by-step explanation:
f(x) = 4x-2x-7
when; f(x) = f(-3)
then, f(-3) = 4(-3) - 2(-3) - 7
= -12 + 6 - 7
= -19 + 6
= -13
2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answers
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
what is the answer to this equation 21 x ___=7
Answers
Answer:
the answer is 3
Step-by-step explanation:
21 x 3 =7
hope it helps
Answer:
21/7
Step-by-step explanation:
Move 7 to next side with opposite process it is multiple after move it will be divided so 21x (21/7) it will be 7 although (21/7)equivalent to 1/3
what are the similarities and differences in linear and exponential in intercepts?
what are the similarities and differences in linear and exponential in domain and range?
what are the similarities and differences in linear and exponential in asymptotes?
what are the similarities and differences in linear and exponential in misc.?
Answers
Answer:
What is a linear function? A linear function is a function whose graph is a straight line. The rate of change of a linear function is constant. The function shown in the graph below, y = x + 2, is an example of a linear function.
Graph of linear function
Graph of linear function
A linear function has a constant rate of change. The rate of change is the slope of the linear function. In the linear function shown above, the rate of change is 1. For every increase of one in the independent variable, x, there is a corresponding increase of one in the dependent variable, y. This gives a slope of 1/1 = 1.
A linear function is typically given in the form y = mx + b, where m is equal to the slope, or constant rate of change.
Examples of linear functions include:
If a person drives at a constant speed, the relationship between the time spent driving (independent variable) and the distance traveled (dependent variable) will remain constant.
Assuming no change in price, the relationship between the number of pounds of bananas a person buys (independent variable) and the total cost of the bananas (dependent variable) will remain constant.
If a person earns an hourly wage at their job, the relationship between the time spent working (independent variable) and the amount earned (dependent variable) will remain constant.
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Exponential Functions
What is an exponential function? An exponential function is a function that involves exponents and whose graph is a smooth curve. The rate of change in an exponential function is not constant. The functions shown in the graph below, y = 0.5x and y = 2x, are examples of exponential functions.
Graphs of exponential functions
Graphs of exponential functions
An exponential function does not have a constant rate of change. The rate of change in an exponential function is the value of the independent variable, x. As the value of x increases or decreases, the rate of change increases or decreases as well. Rather than a constant change, as in the linear function, there is a percent change.
An exponential function is typically given in the form y = (1 + r)x, where r represents the percent change.
Examples of exponential functions include:
Step-by-step explanation:
PLEASE PLEASE HELP ME I WILL GIVE BRAINLIEST
Answers
Answer:
D
Step-by-step explanation:
-16p + 37 = 49 -21p
-16p +21p = 49 - 37
5p = 12
p = 12/5
A.
-55 + 12p = 5p + 16
7p = 71
p = 71/7
B.
2+1.25p = -3.75p +10
5p = 8
p = 8/5
C.
-14 + 6p = -9 -6p
12p = 5
p = 5/12
D.
1.5p - 5 + 2.25p = 7 - 1.25p
5p = 12
p = 12/5
Answer:
d
Step-by-step explanation:
ddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes. Find the unit rate for each brand. Round to the nearest cent (hundredth).
Brand A costs
per ounce.
Brand B costs
per ounce.
Answers
Answer:
Brand A Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^
Angles in a Triangle
Answers
Answer:
70
Step-by-step explanation:
The non-labeled side (next to 130) has to be supplementary to the angle outside, hence it has to be 50. Since all the sides of an angle must add up to 180, we can subtract 60+50 to get 70. Hope this helps!
Answer:
70°
Step-by-step explanation:
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
130 = x + 60
x = 70
Answer: 70°
On opening night of the school play, 220 seats in the auditorium were occupied. The auditoriumiseats 400 people. What percent of the seats were unoccupied? A 40% B 45% C 55% D 60%
Answers
Answer:
B. 45%
Explanation:
The total number of seats in the auditorium = 400
Number of occupied seats = 220
Thus, the number of unoccupied seats = 400-220 = 180
So, the percentage of seats that were unoccupied will be:
\(\begin{gathered} =\frac{180}{400}\times100 \\ =\frac{180}{4}\% \\ =45\% \end{gathered}\)The correct choice is B.
Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.)
$300/week for 9 1/2
years at 5.5%/year compounded weekly
Answers
Answer: $227,226.51
Step-by-step explanation:
First, we need to convert the period to weeks.
9 1/2 years = 9.5 years
1 year = 52 weeks
9.5 years = 494 weeks
Next, we can use the formula for the future value of an annuity:
FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)
where:
PMT = payment amount per period
r = annual interest rate
n = number of compounding periods per year
t = number of years
Plugging in the given values:
PMT = $300
r = 0.055 (5.5% expressed as a decimal)
n = 52 (compounded weekly)
t = 9.5 years = 494 weeks
FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)
FV = $227,226.51
Therefore, the future value of the annuity is approximately $227,226.51.
2 Write 386 in expanded form
Answers
Answer:
300+ 80+6
Step-by-step explanation:
i think i not sure