What is the cardinal number of the set C={0,5,−4,25,103,56}
Answers
Answer:
I wanna say its Hence n (Q) =7
I may be mistaken
Answer:
6
Step-by-step explanation:
The set is made up of 6 elements. Therefore, the cardinal number is 6.
Related Questions
Pete asks Buzz for a truss with angles of 60°, 90°, and 30°. (He does not give side lengths.)
Is this enough information for Buzz to make a truss with the correct size and shape?
Explain.
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help! please give 35 points
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The area of the composite figure is 378.5 square feets.
How to find the total area of the figure?We can decompose this into a rectangle of 30ft by 10ft and a circle whose diameter is 10ft.
Remember that the area of a rectangle of width W and length L is given by:
A = L*W
So the area of this rectangle is:
A = 30ft*10ft = 300ft²
And the area of a circle whose diameter D is:
A = 3.14*(D/2)²
So in this case the area of the circle is:
A = 3.14*(10ft/2)²
A = 3.14*(5ft)² = 78.5 ft²
Then the total area of the composite figure is:
area = 300ft² + 78.5 ft²
area = 378.5 ft²
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How is this done I’m trying to help my son
Answers
To answer this question, we need to remember that when two parallel lines are cut by a transversal, the following pairs of angles are congruent (they have the same measure):
• Alternate interior angles
,• Corresponding angles
,• Alternate exterior angles
We also need to remember that two consecutive interior angles are supplementary, that is, their sum is equal to 180 degrees.
Having this information into account, we can proceed as follows:
Case 1:We have here two corresponding angles, <1 and 67°. We can see that these angles lie on the same side of the transversal T, and one of the angles lies on the interior of the parallel lines (67°) and the other lies on the exterior of the parallel lines (<1).
Therefore, we can say that <1 and 67 are congruent, and then:
\(m\angle1=67^{\circ}\)Case 2:We also have here two corresponding angles, and we have that:
\(\begin{gathered} m\angle HJK=x^{\circ} \\ \\ m\angle HJK=142^{\circ} \end{gathered}\)Case 3:In this case, we have alternate interior angles, and because of that, the angles are also congruent:
Therefore, we have:
\(m\angle3=111^{\circ}\)Case 4:In this case, we have two consecutive interior angles, and we know that one of them is a right angle - we can see a small square. Since we have the sum of two consecutive interior angles is equal to 180° (they are supplementary angles), then we have:
\(\begin{gathered} m\angle4+90^{\circ}=180^{\circ} \\ \end{gathered}\)To solve this equation, we need to subtract 90° from both sides of the equation:
\(\begin{gathered} m\angle4+90^{\circ}-90^{\circ}=180^{\circ}-90^{\circ} \\ \\ m\angle4=90^{\circ} \end{gathered}\)Case 5:In this case, we have two alternate exterior angles, as we can see in the next drawing:
Therefore, we have that:
\(m\angle RST=138^{\circ}\)In summary, therefore, we have that:
\(\begin{gathered} m\angle1=67^{\circ} \\ \\ m\angle HJK=142^{\circ} \\ \\ m\angle3=111^{\circ} \\ \\ m\angle4=90^{\circ} \\ \\ m\angle RST=138^{\circ} \end{gathered}\)
The amount of water in a tank, T, after m minutes is given by T=55+8m. How many gallons of water are in the tank after 20 minutes?
Answers
Answer:
215
Step-by-step explanation:
T = 55 + 8m
This is your equation. You want to find out how many gallons of water will be in the tank after 20 minutes. According to the description, T is the amount of water in the tank and m is the time that is passed in minutes. You have to plug in the value given into the variable that matches.
For this problem, the value goes into the variable m. Solve for T.
T = 55 + 8(20)
T = 55 + 160
T = 215
After 20 minutes, there will be 215 gallons in the tank.
Answer:
215 gallons
Step-by-step explanation:
The equation given is:
T= 55 + 8m
where T is the amount of water in a tank and m is the number of minutes. We want to find out the amount of water in the tank after 20 minutes. Since m is our variable for minutes, substitute 20 in for m.
T=55+8m
m=20
T=55+8(20)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
First, multiply 8 and 20.
T=55+160
Then, add 55 and 160
T=215
T=215 gallons
After 20 minutes, there will be 215 gallons in the tank.
what is 600X 290+34- 40
Answers
Answer:
173,994
Step-by-step explanation:
mark me brainliest!!
At the movie theatre, child admission is $5.40 and adult admission is $9.40. On Friday, 148 tickets were sold for a total sales of $1171.20. How many child tickets were sold that day?Number of child tickets:
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Hello there. To solve this question, we'll have to set a system of linear equations and determine how many child tickets were sold that day at the movie theatre.
Given that child admission is $5.40 and adult admission is $9.40, at the movie theatre and knowing that, on friday, 148 tickets were sold for a total of $1171.20, we have to solve for the number of children that attended the movie theatre that day.
First, say the number of children and adults, that friday at the movie theatre, were C and A, respectively.
We know that C + A is the total number of tickets sold.
Multiplying each unknown by the price they paid for the tickets will give us another equation:
\(5.40C+9.40A=1171.20\)That is, C children paid $5.40 and A adults paid $9.40, for a total of $1171.20.
Hence, we have the following system of linear equations:
\(\begin{cases}C+A=148\\ 5.4C+9.4A=1171.2\end{cases} \)We'll solve for the number of children C using the elimination method.
Multiply the first equation by a factor of 9.4.
\(\begin{cases}9.4C+9.4A=1391.2 \\ 5.4C+9.4A=1171.2\end{cases}\)Subtract the second equation from the first, such that we get
\(\begin{gathered} 9.4C+9.4A-(5.4C+9.4A)=1391.2-1171.2 \\ \\ 4C=220 \end{gathered}\)Divide both sides of the equation by a factor of 4
\(C=\dfrac{220}{4}=55\)Hence the number of child tickets on friday at the movie theatre was 55.
Please help me GENIUS Rank
Directions: Complete the following frequency distribution table, then compute the mean, median, and mode of the distribution. Show your complete solutions. (25 points)
Class interval] frequency (f)] fxm
99-101 ] 17 ].
102-104 ] 25 ]
105-107 ] 13 ]
108-110 ]. 16 ]
111-113 ]. 29 ]
total ]N= ]. Efxm=
less than cumutalti frequency (<cf)
[. ]
[. ]
[. ]
[. ]
[. ]
[. ]
Answers
ive been going thought is for for a while and i still dont know which i right
Answers
Answer:
as the x values go to negative infinity, the function's values are equal to zero.
Stefan is fishing from a small boat. His fishing hook is 12 meters below him, and a fish is swimming at the same depth as the hook, 9 meters away. How far away is Stefan from the fish?
Answers
The distance that lies from where Stefan is and the fish is 15 meters
How to solve for the distanceIn order to get Stefan's distance from the fish, we would have to make use of the pythagorean theorem
The formula is given as
a² + b² = c²
where we have the value of a = 12 meters
the value of b = 9 meters
the value of c is unknown
when we input the values we would have:
12² + 9² = c²
144 + 81 = c²
225 = c²
c = √225
c = 15
The distance that lies between Staefan and this fish is given as 15 meters.
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Please help and show work
Answers
Answer:
6. <RST = 94 degrees
7. <RSL = 39 degrees and <LST = 39 degrees
8. <RST = 66 degrees
Step-by-step explanation:
RSL = 33 = 4x+1
33-1= 4x
x = 32/4
x = 8
9. Right angle
10. Acute angle
10. Straight angle
11. Obtuse angle
Slove for the value of a
Answers
Answer:
a = 11
Step-by-step explanation:
9a + 6 + 75 = 180
9a + 81 = 180
9a = 99
a = 11
Attached id the image questionA publishing house recently released two novels. Both novels are available in paperback or as an e-book. This table shows the number of copies of each sold on the first day. Book ABook BPaperback442 701E-book 267 187Analyze this data and arrange the percentages relating to the data in order of their values from least to greatest.
Answers
Use rule of three to find the corresponding percentages:
Find the totals of each row and each column:
a. Percentage of copies of book A sold that are paperbacks
\(x=\frac{442*100}{709}=62.34\)
b. The percentage of copies of book B sold that are paperbacks:
\(x=\frac{701*100}{888}=78.94\)c. the percentage of copies of book A sold that are e-books:
\(x=\frac{267*100}{709}=37.66\)d. the percentage of copies of book B sold that are e-books:
\(x=\frac{187*100}{888}=21.06\)e. the percentage of paperbacks sold that are copies of book A:
\(x=\frac{442*100}{1143}=38.68\)f. the tercentage of paperbacks sold that are copie of book B:
\(x=\frac{701*100}{1143}=61.32\)g. the percentage of e-books sold that are copies of book A:
\(x=\frac{267*100}{454}=58.81\)h. percentage of e-books sold that are copies of book B:
\(x=\frac{187*100}{454}=41.19\)Then, the order of the percentages from least to greates is:the percentage of copies of book B sold that are e-books: 21.06%the percentage of copies of book A sold that are e-books: 37.66%the percentage of paperbacks sold that are copies of book A: 38.68%the percentage of e-books sold that are copies of book B: 41.19%the percentage of e-books sold that are copies of book A: 58.81%the tercentage of paperbacks sold that are copie of book B: 61.32%the percentage of copies of book A sold that are paperbacks: 62.34%the percentage of copies of book B sold that are paperbacks: 78.94%
Least to greatest - 1.8 , 1 , 1 2/5 , 1 9/10 , -1.25
Answers
Answer:
-1.25, 1, 1 2/5, 1.8, 1 9/10
Step-by-step explanation:
Answer:
-1.25, 1, 1 2/5, 1.8, 1 9/10
Step-by-step explanation:
find the value of x and the measure of angle axc
Answers
Answer:
x = 4
m<AXC = 150
Step-by-step explanation:
m<1 + m<2 = m<AXC
102 + 10x + 8 = 6(6x + 1)
10x + 110 = 36x + 6
26x = 104
x = 4
m<AXC = 6(6x + 1)
m<AXC = 6(24 + 1)
m<AXC = 150
using the data on this scatter plot
Answers
Answer:
\( - 8(45) + 482 = - 360 + 482 = 122\)
Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run?
A 2-column table with 4 rows. Column 1 is labeled Situation with entries increasing, difference, finding part of a total, sharing or grouping. Column 2 is labeled Operation with entries +, minus, times, divided by.
Select all that apply.
You know the difference in the distances the boys ran, so this is a subtraction problem.
You are finding the total distance the boys ran, so this is an addition problem.
Dean ran part of the distance Sam ran, so this is a multiplication problem.
The correct equation is s + 2.3 = 6.8.
The correct equation is s – 2.3 = 6.8.
The correct equation is 2.3s = 6.8.
Answers
Answer:
A,E
Step-by-step explanation:
Operation: Minus
To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.
6.8 km - 2.3 km = 4.5 km
Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.
Answer:
a and e
Step-by-step explanation:
got it right on homework
4) During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play admissions. Of each dollar earned, $0.15 came from games. Craft sales earned 3 times as much as games. Food sales were 4 times the amount earned from the play.
Crafts-blank
Play-blank
Games-$0.15
Food-$0.32
If the total sales were $500, then:
How much was earned from the craft sales?
How much was earned from the play?
Answers
$225 was earned from the craft sales
and $40 was earned from the play.
Given, During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play admissions.
Of each dollar earned, $0.15 came from games. Craft sales earned 3 times as much as games. Food sales were 4 times the amount earned from the play.
Let the amount earned by play be x,
Now, Games earned = 0.15×500 = $75
Also, crafts earned 3×75 = $225
Now, as play earned x, then food earned 4x.
According to question,
x + 75 + 225 + 4x = 500
5x + 300 = 500
5x = 200
x = 40
So, the amount earned by Play be, $40
and the amount earned by Food be $160.
Hence, $225 was earned from the craft sales
and $40 was earned from the play.
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If you want easy access to your money for paying bills, eating out, etc, it is best to use a ____________ account.
Answers
If you want easy access to your money for paying bills, eating out, etc, it is best to use a checking account.
What is checking account?A checking account is a sort of bank account that enables simple deposits and withdrawals of cash for everyday use.
For instance, you may use your debit card to withdraw cash, deposit a check you receive, or set up direct deposit to get your paychecks.
It is advisable to utilize a checking account if you want quick access to your money for things like paying bills and dining out.
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Check picture pls this is geometry work
Answers
Answer:
45
scalene
acute
Step-by-step explanation:
Answer: The triangle classified by the sides is 59 degrees. The triangle is classified by the angel is 1
Step-by-step explanation:
25 POINTS PLS HELP SOME1!!
Answers
The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;
The transformation are a rotation and a translation
What is a translation transformation?A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.
The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units
The correct option is the second option; The transformation are a rotation and a translation
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Looking at Morningstar’s Financial Health ratios, what has happened to HP’s liquidity position over the past 10 years?
Liquidity/Financial Health
2010-10
2011-10
2012-10
2013-10
2014-10
2015-10
2016-10
2017-10
2018-10
2019-10
Latest Qtr
Current Ratio
1.10
1.01
1.09
1.11
1.15
1.23
0.98
1.00
0.85
0.80
0.73
Quick Ratio
0.78
0.58
0.79
0.80
0.83
0.92
0.69
0.68
0.55
0.53
0.48
Financial Leverage
3.07
3.35
4.85
3.88
3.86
3.85
—
—
—
—
—
Debt/Equity
0.38
0.58
0.97
0.60
0.60
0.78
—
—
—
—
—
Answers
Answer:
Step-by-step explanation:
Huh lol ok
HELP!!!!!!!!!!!!
A random number generator is used to create a real number between 0 and 1, equally likely to fall anywhere in this interval of values. (For the instance, 0.3794259832... is a possible outcome). a. Sketch a curve of the probability distribution of this random variable, which is the continuous version of the uniform distribution.
Answers
Answer:
The graph of the probability density function is attached.
Step-by-step explanation:
The probability function for this random number generator will be like the uniform distribution and defined for X ∈ [0, 1].
The probability density function can be written as:
\(f(x)={\begin{cases}{\dfrac {1}{1-0}}=1&\mathrm {for} \ 0\leq x\leq 1,\\[8pt]0&\mathrm {for} \ x<0\ \mathrm {or} \ x>1\end{cases}}\)
The graph of the probability density function is attached.
consider the differential equation x3y ''' + 8x2y '' + 9xy ' − 9y = 0; x, x−3, x−3 ln(x), (0, [infinity]). Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. The functions satisfy the differential equation and are linearly independent since W(x, x−3, x−3 ln(x)) = ≠ 0 for 0 < x < [infinity].
Answers
Verifying that a given expression is a solution to the equation is just a matter of plugging in the expression and its derivatives, and making sure that the given expressions are indeed linearly independent.
For example, if y = x, then y' = 1 and the other derivatives vanish. So the DE after substitution reduces to
9x - 9x = 0
which is true for all 0 < x < ∞.
To check for linear independence, you compute the Wronskian, which, judging by what you wrote, you've already done...
If all real numbers satisfy the inequality, select all real numbers. If no real numbers satisfies the inequality, select no solution.
how can you tell if it's all real numbers or if no real numbers.
Answers
The solution to the inequality is x >= -2 for inequality 3x-5≥-11
The given inequality is 3x-5≥-11
Three times of x greater than or equal to minus eleven
x is the variable
3x - 5≥ -11:
Adding 5 to both sides, we get:
3x ≥ -6
Dividing both sides by 3, we get:
solution is x≥-2
Therefore, the solution to the inequality is x >= -2.
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What is the area of this figure?
Answers
Answer:
\( 220.5 \: {yd}^{2} \)
Step-by-step explanation:
Area of the figure = Area of the arc with radius 10 yd and central angle 90° + Area of rectangle with dimensions (10 + 5 - 3 = 12) 12 yd and (7 + 6 - 4 = 9) 9 yd + Area of square with dimension 4yd + Area of rectangle with dimensions 3 yd by 2 yd + Area of triangle with base 3 yd and height (5 + 3 = 8) 8 yd.
\( = \frac{90 \degree}{360 \degree} \times 3.14 {(10)}^{2} + 12 \times 9 + {4}^{2} \\ + 3 \times 2 + \frac{1}{2} \times 3 \times 8 \\ \\ = \frac{1}{4} \times 314 + 108 + 16 + 6 + 12 \\ \\ = 78.5 + 142 \\ \\ = 220.5 \: {yd}^{2} \)
5.) Evaluate the function. f(x)=8x+9 for f(5). Show your work and write your
answer in function notation.
Answers
Answer:
49
Step-by-step explanation:
f(5)=8×5+9=40+9=49
The cost C (in dollars) for a company to produce and sell x thousand gadgets is given by C = 1/40 x^2 − 2x + 4040
(a) What is the company's start-up cost? $________
(b) What is the minimum cost? $ ___________
(c) How many gadgets must the company produce and sell in order to incur the least cost? (Be careful with your units!) __________ gadgets
Answers
Answer:
Step-by-step explanation:
(c) The number of gadgets the company must produce and sell in order to incur the least cost = 40 gadget.
We experienced a few technical difficulties when trying to submit the answers for (a) and (b) questions, but we made it much easier because we have the screenshots and we have attached it in the diagram below.
Thanks
3. An investor plans to invest $500/year and expects to get a 10.5% return. If the investor makes these contributions at the end of the next 20 years, what is the present value (PV) of this investment today?
Answers
The present value (PV) of the investment today is approximately $2,965.05.
To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.
The formula for the present value of an annuity is given by:
PV = C * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present Value
C = Cash flow per period
r = Interest rate per period
n = Number of periods
In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.
Let's plug in these values into the formula and calculate the present value (PV):
PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]
Using a calculator, we can evaluate the expression inside the brackets:
PV = $500 * [(1 - 0.376889) / 0.105]
Simplifying further:
PV = $500 * [0.623111 / 0.105]
PV = $500 * 5.930105
PV = $2,965.05
Therefore, the present value (PV) of the investment today is approximately $2,965.05.
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Which point would be a solution to the system of linear inequalities shown below?
Answers
The coordinates in the solution to the systems of inequalities is (12, 1)
Solving the systems of inequalitiesFrom the question, we have the following parameters that can be used in our computation:
y > -4x + 6
y > 1/3x - 7
Next, we plot the graph of the system of the inequalities
See attachment for the graph
From the graph, we have solution to the system to be the shaded region
The coordinates in the solution to the systems of inequalities graphically is (12, 1)
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an airplane flew for one hour and landed 100 miles north and 80 miles east from its origin. what was the distance traveled, speed and angle of direction from its origin?
Answers
The distance traveled by airplane is 180 miles.
The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°
The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.
Then, the total distance traveled by airplane will be:
= 100 miles + 80 miles = 180 miles.
The speed can be defined as the distance traveled by the total time taken.
Speed = distance/time
Speed = 180 miles/ 1 hour
Speed = 180 miles/60 minutes
Speed = 3 miles per minute
The angle of direction from its origin will be:
tan (x) = 100 miles/80 miles
x = tan⁻¹ ( 100/80)
x = tan⁻¹ ( 10/8) = tan⁻¹ ( 5/4)
x = 51.34°
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