The equation can be written as: 235_8 + 32_8 = 311_8. So, the correct base is 8.
To find the base used in this numbering system, we need to first understand the meaning of the numbers given in the equation. We know that 235? represents a number in this unknown base system, 32? represents another number in the same base system, and the result of adding these two numbers is 311? in the same base system.
Let's try to find the value of the unknown base by using trial and error. We can start by assuming a base for the unknown numbering system and converting the given numbers into decimal numbers, then adding them up and converting the result back into the unknown base system. If the result matches the given value, then we have found the correct base.
Let's start by assuming the base is 6. Converting 235? and 32? into decimal numbers using base 6, we get:
235? = 2x6² + 3x6¹ + 5x6⁰ = 72
32? = 3x6¹ + 2x6⁰ = 20
Adding these two decimal numbers, we get 72 + 20 = 92. Now, let's convert 92 back into the unknown base system:
92 = 15x?¹ + 2x?⁰
We can see that this is not equal to 311?, so base 6 is not the correct base.
Let's try another base, say base 8:
235? = 2x8² + 3x8¹ + 5x8⁰ = 157
32? = 3x8¹ + 2x8⁰ = 26
Adding these two decimal numbers, we get 157 + 26 = 183. Now, let's convert 183 back into the unknown base system:
183 = 2x?² + 3x?¹ + 3x?⁰
We can see that this is equal to 311?, so the correct base is 8. The equation is:
235_8 + 32_8 = 311_8
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i need an explainarion
Answer:
x=3
Step-by-step explanation:
The line of reflection would be at x=3. It’s like a mirror. The reflection is backward, but the same distance from the line of reflection, so the line needs to be halfway between the two shapes. Since C is at 4 and C’ is at 2, the line of reflection has to be at 3.
Construct a Deterministic Finite Accepted M such that L(M) = L(G), the language generated by grammar G = ({S, A, B}, {a, b}, S , {S -> abS, S -> A, A -> baB, B -> aA, B -> bb} )
To construct a Deterministic Finite Accepted M such that L(M) = L(G), the language generated by grammar G = ({S, A, B}, {a, b}, S , {S -> abS, S -> A, A -> baB, B -> aA, B -> bb} ), the following steps should be followed:
Step 1: Eliminate the Null productions from the grammar by removing productions containing S. The grammar, after removing null production, becomes as follows.{S -> abS, S -> A, A -> baB, B -> aA, B -> bb}
Step 2: Eliminate the unit productions. The grammar is as follows. {S -> abS, S -> baB, S -> bb, A -> baB, B -> aA, B -> bb}
Step 3: Now we will convert the given grammar to an equivalent DFA by removing the left recursion. By removing the left recursion, we get the following productions. {S -> abS | baB | bb, A -> baB, B -> aA | bb}
Step 4: Draw the state diagram for the DFA using the following rules: State diagram for L(G) DFA 1. The start state is the initial state of the DFA. 2. The final state is the final state of the DFA. 3. Label the edges with symbols on which transitions are made. 4. A table for the transition function is created. The table for the transition function of L(G) DFA is given below:{Q, a} -> P{Q, b} -> R{P, a} -> R{P, b} -> Q{R, a} -> Q{R, b} -> R
Step 5: Construct the DFA using the state diagram and transition function. The DFA for the given language is shown below. The starting state is shown in green and the final state is shown in blue. DFA for L(G) -> ({Q, P, R}, {a, b}, Q, {Q, P}) Where, Q is the starting state P is the first intermediate state R is the second intermediate state.
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Factor Quadratics
(10 Point)
x² + 4x-5
(x - 1) (x + 5)
(x – 5) (x + 1)
O x (x+4) – 5
(x - 5) (x - 1)
Answer:
(x−1)(x+5)
Step-by-step explanation:
Answer:
Step-by-step explanation:
x^2 + 4x - 5
(x + 5)(x - 1)
As a holiday gift, coach tells bryan that he will be running laps. if he runs 1 1/3 miles in 1/10 hour when doing laps for basketball, what is his rate of speed in miles per hour
Answer:
13 1/3 mph
Step-by-step explanation:
If running 1 1/3 miles takes him 1/10 hour, 1 1/3 * 10 will be his mph
suppose the firm shown above represents a single price monopolist (one which cannot price discriminate). what quantity will the firm produce?
As a single price monopolist, the firm will produce the quantity where marginal revenue equals marginal cost. This quantity will be lower than the competitive equilibrium quantity, leading to a higher price for consumers and reduced output in the market.
As a single price monopolist, the firm faces a downward-sloping demand curve for its product. To maximize profits, the monopolist will choose the quantity where marginal revenue (MR) equals marginal cost (MC). However, since the monopolist cannot price discriminate, it must charge the same price to all consumers. In a perfectly competitive market, the price is equal to the marginal cost, and the quantity produced is determined by the intersection of the demand and supply curves. However, as a monopolist, the firm restricts output to achieve higher prices and maximize its profits. The monopolist's marginal revenue curve lies below the demand curve, reflecting the fact that it can only increase output by lowering the price for all units sold. As a result, the marginal revenue curve has a steeper slope than the demand curve. The quantity at which MR equals MC will be lower than the competitive equilibrium quantity. Therefore, as a single price monopolist, the firm will produce a quantity that is lower than the competitive equilibrium quantity, leading to higher prices for consumers and reduced output in the market.
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1.) Solve the system of equations by method of elimination. Show all your work.
2x + 4y = 8
10x – 4y = 16
Answer:
x=2, y=1
Step-by-step explanation:
Add:
2x+4y=8
+10x-4y=16
------------------
12x=24
Divide by 12 on both sides:
x=2
Substitute x with 2 on either 2x+4y=8 or 10x-4y=16 it doesn't matter it will result in the same answer.
(I will do both of them to prove it but you only need to replace x with one of the equation)
For 2x+4y=8
2(2)+4y=8
4+4y=8
Subtract 4 on both sides
-4+4+4y=8-4
4y=4
Divide 4 on both sides:
y=1
For 10x-4y=16
10(2)-4y=16
20-4y=16
-20+20-4y=16-20
-4y=-4
Divide -4 on both sides:
y=1
The answer for both 2x + 4y = 8 and 10x – 4y = 16 are the same showing that it doesn't matter which equation you replace the number with it will still result you in the same answer
Hope this helps!
i need answer please
Answer:
y = 3x + 2 (the second choice)
Step-by-step explanation:
perpendicular means the negative reciprocal of x
x is -1/3
so a perpendicular line would have
3x
number next to the x is the slope which is
m
then use the point slope form formula
y - y1 = m (x - x1) with (1,5)
m is the slope
y - 5 = 3 (x - 1)
y - 5 = 3x - 3
y = 3x + 2
Help me please I need help
Answer:
AGE should be 35
Step-by-step explanation:
same as DGB
Each year you sell 3,000 units of a product at a price of $29.99 each. The variable cost per unit is $18.72 and the carrying cost per unit is $1.43. You have been buying 250 units at a time. Your fixed cost of ordering is $30. What is the economic order quantity? A) 342 units B) 329 units OC) 367 units D) 355 units E) 338 units
The economic order quantity is approximately 355 units, which corresponds to option D) 355 units.
To find the economic order quantity (EOQ), we can use the following formula:
EOQ = sqrt((2 * Annual Demand * Fixed Ordering Cost) / Carrying Cost per Unit)
Given information:
Annual Demand = 3,000 units
Fixed Ordering Cost = $30
Carrying Cost per Unit = $1.43
Substituting the values into the formula:
EOQ = sqrt((2 * 3,000 * 30) / 1.43)
EOQ = sqrt(180,000 / 1.43)
EOQ = sqrt(125,874.125)
EOQ ≈ 354.91
Rounding the EOQ to the nearest whole number, we get:
EOQ ≈ 355 units
Therefore, the economic order quantity is approximately 355 units, which corresponds to option D) 355 units.
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Helpppp pleaseeeee math algebra
Answer:
B is the correct answer
Step-by-step explanation:
Coefficient is - 5 and constant is 2
Answer:
\( - 5x + 2 \\ coefficient = - 5 \\ constant = 2 \\ thank \: you\)
a 15-foot statue casts a 20-foot shadow. how tall is a person who casts a 4-foot-long shadow? question 19 options: a) 5 feet b) 0.33 feet c) 3.75 feet d) 3 feet
Answer:
d
Step-by-step explanation:
the ratio of height : shadow of statue is 15 : 20 = 3 : 4
the ratio of height : shadow of person will also be 3 : 4
jet height of person be h , then
\(\frac{h}{4}\) = \(\frac{3}{4}\) ( cross- multiply )
4h = 12 ( divide both sides by 4 )
h = 3
then the person is 3 feet tall
Answer:
d) 3 feet
Step-by-step explanation:
One endpoint on GH is G(–7, 24). The midpoint is M(3, 4). Find the coordinates of the endpoint H. ( , )
Please help find endpoint H
Answer:
H (13, -16)
Step-by-step explanation:
\(\boxed{\begin{minipage}{7.4 cm}\underline{Midpoint between two points}\\\\Midpoint $=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.\\\end{minipage}}\)
Given:
Endpoint (x₁, y₁) = G (-7, 24)Endpoint (x₂, y₂) = H Midpoint = M (3, 4)Substitute the given endpoint G and midpoint M into the midpoint formula:
\(\implies M=\left(\dfrac{x_H+x_G}{2},\dfrac{y_H+y_G}{2}\right)\)
\(\implies (3, 4)=\left(\dfrac{x_H-7}{2},\dfrac{y_H+24}{2}\right)\)
x-value of endpoint H:
\(\implies 3=\dfrac{x_H-7}{2}\)
\(\implies 6=x_H-7\)
\(\implies x_H=13\)
y-value of endpoint H:
\(\implies 4=\dfrac{y_H+24}{2}\)
\(\implies8=y_H+24\)
\(\implies y_H=-16\)
Therefore, the coordinates of endpoint H are:
(13, -16)Answer: 13 -16
Step-by-step explanation: Edge 2023
PLEASE HELPPP ASAPP
I WILL MAKE YOU BRAINLIEST
The transformation that's illustrated in the diagram is translation.
What is transformation?It should be noted that transformation simply means the manipulation of that moves a shape from a space to another.
In this case, the transformation that's illustrated in the diagram is translation. This is the sliding of try shape across certain number of spaces.
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At the p.e. class, pupils help each other measure heights. the average height of jeremy and justin is 147 cm. jeremy is 24 cm taller than justin. what is the height of jeremy?
The height of Jeremy is 159 cm.
What is average?In layman's terms, an average is a single number chosen to represent a set of numbers, typically the sum of the numbers divided by the number of numbers in the set (the arithmetic mean). The average of the numbers 2, 3, 4, 7, and 9 (summed to 25) is 5, for example. An average could be another statistic, such as the median or mode, depending on the context.To find the height of Jeremy:
The formula of average = sum of terms/number of termsLet, Justin, be x and Jeremy be x + 24So,
147 = x + (x+24) / 22x + 24 = 147 × 22x + 24 = 2942x = 294 - 242x = 270x = 135Then, Jeremy = 135 + 24 = 159 cm.
Therefore, the height of Jeremy is 159 cm.
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Pls help
this is so i have enough characters so blblblblblblloifjadsufhjakdefhncujhwnoerjs
Answer:
7 jshdbnskskslaksnbfbfje
Alex had $3.63 more than Rick. Together they had $27.93. How much money did both Alex and Rick have?
Alex has $15.78 and Rick has $12.15 money.
According to the question,
We have the following information:
Alex had $3.63 more than Rick. Together they had $27.93.
Let's take the money Rick has to be $x.
Now, we have the following expression for the money Alex has:
3.63+x
Now, we have:
x+3.63+x = 27.93
2x+3.63 = 27.93
Subtracting 3.63 from both the sides:
2x = 27.93-3.63
2x = 24.3
Dividing by 2 on both the sides:
x = 24.3/2
x = $12.15
So, Rick has $12.15.
Now, the money Alex has:
3.63+12.15
$15.78
Hence, Alex has $15.78 and Rick has $12.15 money.
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Let R be the region between the x-axis and the graph of y= 1
, for x≥1 (all the way out to [infinity] in the positive x direction) a. Show that the area of R is infinite. b. Use an improper integral to find the volume of the solid generated by rotating R around the x-axis.
a. To show that the area of region R is infinite, we can calculate the definite integral of the function y = 1 from x = 1 to x = ∞:
∫[1,∞] 1 dx.
Since this integral is improper, we need to take the limit as the upper bound approaches infinity:
lim (b→∞) ∫[1,b] 1 dx.
Evaluating the integral, we get:
lim (b→∞) [x] from 1 to b.
Taking the limit as b approaches infinity, we have:
lim (b→∞) (b - 1).
Since the limit diverges to infinity, the area of region R is infinite.
b. To find the volume of the solid generated by rotating region R around the x-axis, we can use an improper integral:
V = π ∫[1,∞] (1)^2 dx.
Again, since this integral is improper, we take the limit as the upper bound approaches infinity:
V = π lim (b→∞) ∫[1,b] (1)^2 dx.
Simplifying the integral, we get:
V = π lim (b→∞) [x] from 1 to b.
Taking the limit as b approaches infinity, we have:
V = π lim (b→∞) (b - 1).
Since the limit diverges to infinity, the volume of the solid generated by rotating region R around the x-axis is also infinite.
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Find the probability of at least one
failure in five trials of a binomial
experiment in which the probability of
success is 30%.
Round to the nearest tenth of a
percent.
[? ]%
What is the value of x to the nearest degree?
22
63
77
68
Answer:
I need help on this to anyone please
Mr. Brackett works in factory with his two sons. He is really happy with his job because he gets to spend some time with his beloved sons not only at home but also at work! He is allowed to take a break every 140 minutes while his two sons are allowed to take breaks in 210 minutes and 280 minutes. How many minutes will they have to wait after their first break together to get together again?
Answer:
840 minutes
Step-by-step explanation:
We solve this question using the LCM Method
Find and list multiples of each number of minutes which is given in the quest as 140, 210 and 280 minutes until the first common multiple is found. This is the lowest common multiple.
Multiples of 140:
140, 280, 420, 560, 700, 840, 980, 1120
Multiples of 210:
210, 420, 630, 840, 1050, 1260
Multiples of 280:
280, 560, 840, 1120, 1400
Therefore,
LCM(140, 210, 280) = 840
Therefore, they would have to wait after their first break together to get together again after 840 minutes
a store sells 57 varieties of juice. juice is sold in cans and two cans of the same variety are identical. how many ways are there to select 6 cans of juice if there is no restriction on the number of each variety selected?
Answer:
Since there are 57 varieties of juice and we can choose any number of each variety, we have 57 choices for each of the 6 cans we need to select. Therefore, the total number of ways to select 6 cans of juice is:
57 x 57 x 57 x 57 x 57 x 57 = 57^6
This can be calculated as:
57^6 = (3 x 19)^6 = 3^6 x 19^6 = 729 x 47,287,681
So there are 729 x 47,287,681 = 34,369,561,449 ways to select 6 cans of juice.
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A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.
Which equations and solutions describe the situation? Select two options.
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill.
The solution x = 60 represents each friend’s share of the food bill and tip.
The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.
Answer: The two correct equations are:
A) 1/8 (x+16) = 76/8 (where x=Food Only)
C) x = 60 (where x=Food Only)
Step-by-step explanation:
Pick TWO that describe the situation (not necessarily solve):
A) 1/8 (x+16) = 76/8 (where x=Food Only)
B) 1/8 (x+16) = 76 (where x=Food Only)
C) x = 60 (where x=Food Only)
D) x = 60 (where x=Food + TIP)
E) 8 (x+16) = 76 (where x=Food Only)
Check Equation for Option A:
1/8 (x+16) = 76/8
1/8x + 16/8 = 76/8
Multiply by 8:
x + 16 = 76
Subtract 64 from both sides:
x = 76 - 16
x = 60 (Correct x=Food Only)
Check Equation for Option C:
x=60 (Correct x=Food Only)
multiple choice question. with explanation needed.
Answer: 4
Step-by-step explanation:
Jane and Nina live 480 miles apart. Wanting to surprise each other, they happened to start
driving straight toward each other at the same time and met 3 hours later. If Nina's speed
was 10 mph faster than Jane's speed, what was Jane's speed?
Answer:75 mph
Step-by-step explanation:
find the sum of 6 terms in the sequence 3,6,12, ...
(1 point) suppose we want a 90% confidence interval for the average amount spent on books by freshmen in their first year at college. the amount spent has a normal distribution with standard deviation $33. (a) how large should the sample be if the margin of error is to be less than $4?
48630 is large should the sample be if the margin of error is to be less than $4 .
What does the term "margin of error" mean?
A margin of error is a statistical term that takes into account the discrepancy between the outcomes of a random survey sample and the expected results. Simply put, you can determine how unpredictable data and research results are by looking at the margin of error.Margin of Error = Z*Stdev/sqrt(n)
4 <= 0.90* 33/sqrt(n)
n >= (0.90* 33/2)^4 = 48630.17 OR 48630
So, n should be atleast 48630 so that margin of error is within $4
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The probability that juliana will take a particular type of dance class is shown in the chart below. She will definitely take either ballet or jazz, but not both. The probability that she will take jazz on wednesday night is 27%. If the probability that she will take ballet is 70%, what is the probability that she will take jazz on saturday morning?.
The probability that Juliana will take jazz on Saturday morning based on the decision tree given is 3%.
What is the probability that jazz is taken on Saturday morning?The probability that jazz is taken is:
= 1 - Probability of ballet
= 1 - 70%
= 30%
The probability that if jazz is taken, it will be taken on Wednesday is:
= Probability that jazz is taken on Wednesday night / Probability that Jazz is taken
= 27% / 30%
= 90%
The probability that Jazz is taken on Saturday morning is therefore:
= Probability that jazz is taken x (1 - Probability of Wednesday night)
= 0.3 x ( 1 - 90%)
= 3%
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4. In your own words describe the difference between the natural breaks, quantile, and equal interval classification schemes that can be used to make a thematic map. Refer to lecture and homework 8.
The natural breaks, quantile, and equal interval classification schemes are methods used to categorize data for the purpose of creating thematic maps. Each scheme has its own approach and considerations: Natural Breaks, Quantile, Equal Interval.
Natural Breaks (Jenks): This classification scheme aims to identify natural groupings or breakpoints in the data. It seeks to minimize the variance within each group while maximizing the variance between groups. Natural breaks are determined by analyzing the distribution of the data and identifying points where significant gaps or changes occur. This method is useful for data that exhibits distinct clusters or patterns.
Quantile (Equal Count): The quantile classification scheme divides the data into equal-sized classes based on the number of data values. It ensures that an equal number of observations fall into each class. This approach is beneficial when the goal is to have an equal representation of data points in each category. Quantiles are useful for data that is evenly distributed and when maintaining an equal sample size in each class is important.
Equal Interval: In the equal interval classification scheme, the range of the data is divided into equal intervals, and data values are assigned to the corresponding interval. This method is straightforward and creates classes of equal width. It is useful when the range of values is important to represent accurately. However, it may not account for data distribution or variations in density.
In summary, the natural breaks scheme focuses on identifying natural groupings, the quantile scheme ensures an equal representation of data in each class, and the equal interval scheme creates classes of equal width based on the range of values. The choice of classification scheme depends on the nature of the data and the desired representation in the thematic map.
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The x86-64 bit architecture only uses 48 of the 64 possible bits for representing virtual address space. true or false
False. The x86-64 bit architecture utilizes the full 64 bits for representing virtual address space, not just 48 bits.
The x86-64 bit architecture, also known as x64 or AMD64, extends the 32-bit x86 architecture to support 64-bit computing. One of the major advantages of this architecture is its ability to access a significantly larger virtual address space compared to its 32-bit predecessor. In x86-64, the virtual address space is indeed 64 bits wide, allowing for a theoretical capacity of 2^64 bytes, which is an enormous amount of memory.
The misconception that only 48 bits are used for representing the virtual address space may arise from the fact that current x86-64 implementations typically limit the practical addressable space to 48 bits. This is known as the "canonical address space" and allows for 256 terabytes of addressable memory. The remaining 16 bits are reserved for future expansion and are not utilized in most current systems. However, the full 64-bit address space is still available in the architecture and can be used if needed in future hardware implementations or specialized applications.
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Find a power series representation for \( f(x)=\frac{1}{1+4 x^{2}} \) and determine the interval of convergence
The interval of convergence is (-1/2 , 1/2) .
Given,
f(x) = 1/1+4x²
Here,
f(x) = 1/1+4x²
=Σ\((4x^{2} )^{n}\)
n varies from 0 to infinity .
| (4x²)| < 1
So,
f(x) = 1/1 + 4x² = Σ\((4x^{2} )^{n}\)
f(x) = 1/1 + 4x² = Σ \(4^{n}\) \(x^{2n}\)
with |x²| < 1/4
-1/2 < x < 1/2
Thus the interval of convergence is (-1/2 , 1/2) .
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