Answer
The ? is 6. And the white box is 24.
Step-by-step explanation:
help please it's due tomorrow
\( \{ \: \alpha \: , \: \beta , \: a, \: b \}\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{n} \)
where, n denotes to number of elements in set .
Since, given set contains 4 elements .
Thus , 2⁴ {2 raise to power 4} .
\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{4} \)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 2 \times 2 \times 2 \times 2\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 4 \times 4\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 16\)
Therefore, Required subsets are 16.
They are , Namely;
\( \sf \longrightarrow \: subsets \: = \phi \: \{ \alpha \} \{ \beta \} \{ a\} \{ b\} \: \{ \alpha \beta \} \{ \alpha a\} \{ \alpha b\} \{ \beta a\} \{ \beta b\} \: .....\)
_____________________________
Additional Information:-If n is the number of elements in the set then,
No. of subsets possible for this subset is 2^n that's the (2 raise to the power n).
Let's take another example, {1,2}
Here, n = 2
subsets =2^2 =4
Subsets = ϕ, {1}, {2},{1,2}
Note :- every set is a subset of itself i.e. {1,2} and ϕ is a subset of every set
[Economics, three part, 100 points]
The graph shows the average total cost (ATC) curve, the marginal cost (MC) curve, the average variable cost (AVC) curve, and the marginal revenue (MR) curve (which is also the market price) for a perfectly competitive firm that produces terrible towels. Answer the three accompanying questions, assuming that the firm is profit-maximizing and does not shut down in the short run.
1) What is the firm's total revenue?
2) What is the firm's total cost?
3) What is the firm's profit? (Enter a negative number for a loss.)
The three accοmpanying questiοns, assuming that the firm is prοfit-maximizing and dοes nοt shut dοwn in the shοrt run
1)Firm's Tοtal Revenue= $78000
2)Firm's Tοtal Cοst =$128700
3)Firm's Lοss = - $50700
What is wοrd prοblem?Wοrd prοblems are οften described verbally as instances where a prοblem exists and οne οr mοre questiοns are pοsed, the sοlutiοns tο which can be fοund by applying mathematical οperatiοns tο the numerical infοrmatiοn prοvided in the prοblem statement. Determining whether twο prοvided statements are equal with respect tο a cοllectiοn οf rewritings is knοwn as a wοrd prοblem in cοmputatiοnal mathematics.
Here in the given graph,
Cοst per unit = $300
Equilibrium quantity = $260 Then,
Firm's Tοtal Revenue = P * Q
=> $300*260 = $78000 (Equilibrium where, MR = MC)
Firm's Tοtal Cοst = Cοst per Unit * equilibrium quantity
=> $495*260 = $128,700
Firm's Lοss = TR - TC
=> $78000 - $128,700 = - $50700
Hence the answers are,
1)Firm's Tοtal Revenue= $78000
2)Firm's Tοtal Cοst =$128700
3)Firm's Lοss = - $50700
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What is 15% of 130.00
Abi takes out a loan that gathers compound interest. The table below shows the value of the loan over time. a) What is the rate of interest per annum? Give your answer as a percentage to 1 d.p. b) Work out the value of the loan 10 years after it starts. Give your answer in pounds (£) to the nearest 1p. Start After 1 year After 2 years £2500.00 £2645.00 £2798.41
Answer:
25000
Step-by-step explanation:
A new school is ordering math text books. They are 3/4 of an inch thick. How many these books will fit into a book shelf that is 2 feet long.
Answer:
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
24 inches are 2 feet
3/4 x 32 = 24
24 inches = 2 feet
What is the answer?if you answer you get brainliest
Answer:
the answer is "the importance of biological diversity in the ecosystem"
Step-by-step explanation:
The P(A) = ? 5/11.
P(not A) =? 6/11
Odds in favor of A are?
The odds in favor of A are 5:6.
Describe probability.The ratio of likely outcomes to all other possible outcomes of an event is known as probability. The number of successful outcomes for an experiment with 'n' outcomes can be expressed using the symbol x. The probability of an event can be calculated using the formula below.
X/n = Probability = Positive Results/Total Results (Event)
To better grasp probability, let's look at a straightforward example. Consider the scenario where we must forecast whether it will rain or not. The correct answer to this query is either "Yes" or "No." It's questionable if it will rain or not. Here, probability can be used.
What does P(not A) mean?It means that the probability of A not occurring which means
P(A)=1-P(not A)
Given P(A)=5/11
P(not A) =6/11
Odds in favor mean that the ratio of possible ways that our outcome can occur to the possible number of ways that our needed outcome cannot occur.
So here odds in favor of A are
Total ways = 11
Number of ways A can occur=5
The number of ways A cannot occur=6.
The odds in favor of A are 5:6.
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Find one possible missing coordinate so that the point becomes a solution to the given inequality.
(x,6) is a solution to 6x−6>y .
Answer:
Step-by-step explanation:
6x-6>y
put y=6
6x-6>6
6x>12
x>12/6
x>2
(3,6) is one solution.
Find the area of the trapezoid.
15 m.
10 m
6 m
Answer:
area is 75 m.
Step-by-step explanation:
15+10/2 =12.5
12.5*6=75
Answer:
75
Step-by-step explanation:
A=\(\frac{a+b}{2} h\)
A=\(\frac{15+10}{2} 6\)
A=25/2x6
A=75
Find the value of this expression if x = 3.
x²– 1/x+1
Answer:
2
Step-by-step explanation:
x^2 - 1 = 9 - 1 = 8
8 / 3 + 1 = 8/4 = 2
If my answer is incorrect, pls correct me!
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-Chetan K
Answer:
2
Step-by-step explanation:
Given, x=3
Now,
x^2 - 1/ x+1
= 3^2-1/3+1
= 9-1/4
=8/4
=2
Ile czystego alkoholu znajduje się we krwii
Answer:
100 ml
Step-by-step explanation:
Five people can finish painting a wall in 5 hours.if only 2 people are available,how many hours do they have to work to finish the same job?
Problem: Show the equation below with "Gate-Array Logic Circuit"; Equation => x² + 3 x y − 14 =output Explanations: Design a Gate-Array Logic Circuit Inputs X, Y 4-bit numbers and output is 8-bit number. Use AND, OR, XOR, NOT gates. Use Full-Adder circuit.
Answer:
Step-by-step explanation:
A gate-array logic circuit for the equation x² + 3xy - 14 = output could be designed as follows:
First, we need to calculate x² and 3xy. This can be done using AND, OR, XOR, and NOT gates.
Next, we need to add the two values obtained in step 1 using a full-adder circuit.
Finally, we need to subtract 14 from the sum obtained in step 2. This can be done using a subtractor circuit, which is essentially a full-adder circuit with an additional input for the subtrahend (in this case, 14).
Here is a schematic of the gate-array logic circuit:
_______________
| |
X--| AND/OR/XOR/NOT |---x²
Y--| AND/OR/XOR/NOT |---3xy
|_______________|
|
______
| |
x²--| Full |---(x² + 3xy)
3xy--| Adder|
|______|
|
______
| |
(x² + 3xy)--| Sub |---output
14--| tract|
|______|
Note that this is just one possible way to design the circuit, and there may be other ways to achieve the same result.
set up, but do not evaluate, a triple integral that gives the volume of the right circular cylinder enclosed by the surfaces x^2 +y^2 =4,z=−10, and z=0
This triple integral gives the volume of the right circular cylinder which is enclosed by the given surfaces and extends from z = 0 to z = -10.
What in mathematics is an integral?
Mathematicians define an integral as either a number equal to the area under the graph of a function for a certain interval or as a new function whose derivative is the original function (indefinite integral).
In general, the word "integral value" refers to the result of integrating or summing the terms of a function that has an infinite number of terms.
The triple integral that gives the volume of the right circular cylinder enclosed by the surfaces x^2 + y^2 = 4 , z=-10 and z=0 is:
∫∫∫dV = ∫∫∫dx dy dz
where the limits of the integration are:
0 ≤ x ≤ 2*sqrt(2), -2*sqrt(2) ≤ y ≤ 2*sqrt(2), 0 ≤ z ≤ -10.
This triple integral gives the volume of the right circular cylinder which is enclosed by the given surfaces and extends from z = 0 to z = -10.
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The graph shows the function h(x) = -(x + 3). Choose severalpoints on h(x) and dilate each by multiplying by the x-value ofthat particular point. Then sketch the graph.
Given:
The function is,
\(h(x)=-(x+3)\)The graph of the above function is dilated by x. It is given as,
\(xh(x)=-x(x+3)\)The points on h(x) is (-3,0),(0,-3),(1,-4),(2,-5).
Now, dilate the graph by multiplying x values.
\(\begin{gathered} xh(x)=-x(x+3) \\ \text{for x=-3} \\ -3h(x)=-3(-3+3)=0 \\ \text{For x=0,} \\ 0h(x)=0 \\ \text{for x=1} \\ h(x)=-1(1+3)=-4 \\ \text{for x=2} \\ 2h(x)=-2(2+3)=-10 \end{gathered}\)The graph is given as,
The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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A thermometer reading 10°C is brought into a room with a constant temperature of 36°C. if the thermometer reads 14°C after 2 minutes, what will it read after beint left in the room for 4 minutes? and for 9 minutes?
Answer:
4 minutes: 17.4 °C9 minutes: 23.7 °CStep-by-step explanation:
You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.
Newton's law of coolingNewton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...
T = 36 -26·(22/26)^(t/2)
At times of t=4 and t=9, the temperature readings will be ...
4 minutes: 36 -26(11/13)^(4/2) ≈ 17.4 °C9 minutes: 36 -26(11/13)^(9/2) ≈ 23.7 °C__
Additional comment
The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.
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The area of a rectangle is given by the tri nominal y^2+4y-45. If the Length of the rectangle is y+9, what is the width of the rectangle
Answer:
width = y - 5
Step-by-step explanation:
area = y^2 + 4y - 45
(y + 9)(y - 5)
Anyone good at math I will pay $10 a test for someone to take my tests in mymathlab Mathlab also lets you pause the test and go look at the problems for help and you can take as much time as you need also you get three attempts per test I'm not good at math so need help anyway message me if your interested 7274304792 someone please help me !! I will venmo you money
Please help quick I need it
The area of the composite figure is 122.24 units².
How to find the area of a composite figure?The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.
Hence,
area of the composite figure = area of the rectangle + 2(area of semi circle)
Therefore,
area of the composite figure = 9 × 8 + 2(1 / 2 πr²)
area of the composite figure = 72 + πr²
where
r = 8 / 2 = 4 units
Therefore,
area of the composite figure = 72 + 3.14 × 4²
area of the composite figure = 72 + 3.14 × 16
area of the composite figure = 72 + 50.24
area of the composite figure = 122.24 units²
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7th grade math help me pleaseee
A = 8
B = 50
Step-by-step explanation:
Answer:
A= 2^4= 16
B=10^5=100,000
Step-by-step explanation:
A= 2*2=4*2=8*2=16
B=10*10=100*10=1000*10=10,000*10=100,000
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[25x^{2} + 16y^{2}
plz factor
Answer:
\((5x)^2+(4y)^2\)
Step-by-step explanation:
\(25x^2+16y^2=\\(5x)^2+(4y)^2\)
Hope this helps!
The units of an item available for sale during the year were as follows: Jan. 1 Inventory 50 units at $124 Mar. 10 Purchase 60 units at $132 Aug. 30 Purchase 20 units at $138 Dec. 12 Purchase 70 units at $142 There are 80 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the ending inventory cost and the cost of goods sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar. blank Cost of Ending Inventory and Cost of Goods Sold Inventory Method Ending Inventory Cost of Goods Sold First-in, first-out (FIFO) $fill in the blank 1 $fill in the blank 2 Last-in, first-out (LIFO) fill in the blank 3 fill in the blank 4 Weighted average cost fill in the blank 5 fill in the blank 6
Ending Inventory Cost and Cost of Goods Sold using different inventory methods:
FIFO Method:
Ending Inventory Cost: $11,920
Cost of Goods Sold: $15,068
LIFO Method:
Ending Inventory Cost: $11,996
Cost of Goods Sold: $15,123
Weighted Average Cost Method:
Ending Inventory Cost: $11,974
Cost of Goods Sold: $15,087
Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.
This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.
Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.
This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.
Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.
Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.
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yolanda will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $70 and costs and costs and additional $0.30 per mile driven. The second plane has no initial fee but costs $0.80 per mile driven. How many miles would Yolanda need to drive for the two plans to cost the same?
The two plans will cost the same when Yolanda has driven 233 miles distance. That is, $70 + (0.30 x 233) = $233 = 0.80 x 233.
To find out how many miles Yolanda needs to drive for the two plans to cost the same, we need to set up an equation. The equation should calculate the total cost of each plan. For the first plan, the total cost is the initial fee plus the cost of the miles driven. For the second plan, the total cost is just the cost of the miles driven. We can then set the two equations equal to each other and solve for the number of miles distance driven. The final result is that Yolanda needs to drive 233 miles for the two plans to cost the same.
Plan 1: C = F + (D × CPM)
Plan 2: C = (D × CPM)
Plan 1 = Plan 2
F + (D × CPM) = (D × CPM)
F = 0
D × CPM = D × CPM
D = 233
Therefore, Yolanda needs to drive 233 miles for the two plans to cost the same.
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Answer:
270m^2
Step-by-step explanation:
30m*18m/2 = 270m^2
Answer:
270
Step-by-step explanation:
Please see screenshot
The graph of the feasible region is attached
How to determine the graph of the feasible regionFrom the question, we have the following parameters that can be used in our computation:
\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)
To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0
Using the above as a guide, the graph is attached
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Study these equations:
f(x) = 2x – 4
g(x) = 3x + 1
What is h(x) = f(x)g(x)?
h(x) = 6x2 – 10x – 4
h(x) = 6x2 – 12x – 4
h(x) = 6x2 + 2x – 4
h(x) = 6x2 + 14x + 4
Answer:
6x2-10x-4
Step-by-step explanation:
hx=(2x-4)(3x+1)
hx=2x(3x+1)-4(3x+1)
hx=6x2+2x-12x-4
hx=6x2-10x-4
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The x and y intercepts for the linear equation x – 2y = -8 is
Answer:
x- intercept = - 8 , y- intercept = 4
Step-by-step explanation:
to find the x- intercept let y = 0 in the equation and solve for x
x - 2(0) = - 8
x - 0 = - 8
x = - 8 ← y- intercept
to find the y- intercept let x = 0 in the equation and solve for y
0 - 2y = - 8
- 2y = - 8 ( divide both sides by - 2 )
y = 4 ← y- intercept
please help put the solution only if you can. thank you!
========================================================
Explanation:
Highlight XY in the sequence XYZ. We've highlighted the first two letters.
This means that we'll need to highlight the first two letters of MNL to get MN.
XY pairs with its corresponding part MN.
Due to the congruent triangles, we know that XY = MN.
The diagram shows MN = 8. Due to substitution or the transitive property (they're similar ideas) we know that XY = 8 as well.
As you can see, the order of the letters is important so we can properly align the letters.