x = 27°
.......
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Which expression is equivalent to 0.95 + k + 0.77K
Answer:
0.95+1.77k
Step-by-step explanation:
The K and the 0.77K combines to make 1.77K. When it adds with the 0.95, it becomes 0.95+1.77k
I guess this should be correct?
Answer:
Yah
Step-by-step explanation:
Which expression is equivalent to 1/3 y?
1/3(y+12)-12
1/6y+1/3(y+3)
1/6y+1/6(y+12)-2
1/3y+1/3(6-y)
Answer:
The answer is 1/6y+1/6(y+12)-2
Step-by-step explanation:
I used a math calculator.
Answer:
1/3y+1/3(6-y)
The statement says: You find a partial report of a sturdy that investigated the relationship between self esteem and depression. You see they conducted a one-tailed Pearson’ se correlation with 52 people, and that the r = -0.25, calculate and report the coefficient of determinationWhat is the coefficient of determination of person’s correlation with 52 people and that the r = -0.25What is the degrees of freedom?
Given:
Sample size, n = 52
correlation coefficient, r = -0.25
Let's find the coefficient of determination of the person's correlation.
To find the coefficient of determination, we have:
coefficient of determination = r²
Thus, we have:
coefficient of determination = r² = -0.25² = 0.0625
Therefore, the coefficient of determination is 0.0625
To find the degrees of freedom, apply the formula:
df = n - 2
Where
df is the degrees of freedom
n is the sample size = 52
Hence, we have:
df = 52 - 2 = 50
The degrees of freedom is = 50
ANSWER:
• Coefficient of determination = 0.0625
,• Degrees of freedom = 50
Pairs of shorts had a mark_up of 17%which includes profit and GST at a price of k29. 25.Find the cost price.
The cost price of the shorts is K22.50.
To find the cost price of the shorts, we need to reverse calculate the original price before the markup and taxes were applied.
Let's assume the cost price of the shorts is represented by C.
The markup of 17% is applied to the cost price, which means the selling price (including the markup) is 117% of the cost price.
117% of the cost price C can be calculated as (117/100) * C.
GST (Goods and Services Tax) is also included in the selling price. GST is typically calculated as a percentage of the selling price. In this case, the selling price of the shorts including GST is K29.25.
Since the GST is included in the selling price, we can subtract it from the selling price to obtain the selling price before GST.
Let's assume the GST rate is R% (as a decimal), then the selling price before GST can be calculated as:
Selling price before GST = Selling price - (Selling price × R)
In this case, the selling price before GST is K29.25, and the GST rate is 17% (0.17 as a decimal). Substituting these values into the equation, we have:
K29.25 = Selling price - (Selling price × 0.17)
Simplifying the equation
K29.25 = Selling price × (1 - 0.17)
K29.25 = Selling price × 0.83
Selling price = K29.25 / 0.83
Now we can substitute the selling price in terms of the cost price:
K29.25 / 0.83 = (117/100) × C
Simplifying the equation:
C = (K29.25 / 0.83) × (100/117)
Calculating the cost price C:
C = K22.50
Therefore, the cost price of the shorts is K22.50.
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17 Billie deposited three paychecks, one was $435.20 , one was $ 510.20 and the third one was $ 345.12 plus $142 cash into her checking account Her original balance was $ 225.30. Assuming all the checks clear, how much will be in his checking account after the deposits are made?
Answer:
$1,657.82
Step-by-step explanation:
435.20 + 510.20 + 345.12 + 142 + 225.30 = total checking balance
1,657.82
Use the parallelogram to find m
m
Using the parallelogram law to find m, the value of m is 50°.
What is the parallelogram law?The parallelogram law states that the sum of the squares for a parallelogram's four sides is equal to the sum of the squares for its two diagonals.
The parallelogram must have equal opposed sides in Euclidean geometry.
If ABCD is a parallelogram, then AB = DC and AD = BC, the parallelogram law is stated as:
2(AB)² + 2 (BC)² = (AC)² + (BD)²
If the parallelogram is a rectangle, the parallelogram law is stated as:
2(AB)² + 2 (BC)² = 2(AC)²
The value of the unknown angles in the parallelogram are as follows:
CED = 180 - (60 + 33 + 37)
CED = 50°
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Parmesan cheese was on sale for $13.60 per pound. Wesley bought a piece of parmesan cheese that weighed 1 ⅛ pounds
how much did he pay and if you can explain
Answer:
Step-by-step explanation:
Given Parmesan cheese was on sale for $13.60 per pound
Welsey bought a piece of the parmesan cheese that weighted \frac{11}{8} pounds
we need to spend$13.60 for 1 pound
for 11/8 pound
11/8 x 13.60= 18.72
So Wesley need to spend $18.70 to get the Parmesan cheese.
1/27
2/346
3/34
4/0244
5/24679
6/02
Min=
Q1=
Med =
Q3 =
Max =
Answer: Min=0.02
Q1=0.037037
Med = 0.037037
Q3 = 0.346790
Max = 346
Step-by-step explanation:
To convert the numbers to decimal, we can divide the number before the slash by the number after the slash. So for example, 1/27 becomes 0.037037.
After converting the numbers to decimal and arranging them in ascending order, we get:
0.02, 0.037037, 0.03448, 0.040816, 0.346790, 346
To find the Q1, median (Med), Q3, and other measures of central tendency and spread for this list of numbers, we first need to order the numbers in ascending order:
0.02, 0.03448, 0.037037, 0.040816, 0.346790, 346
Q1 is the value that separates the lowest 25% of the data from the rest of the data. To find Q1, we need to find the median of the lower half of the data set. Since there are 6 numbers in the set and Q1 is the middle value of the lower half, Q1 would be the 3rd number in the ordered set, which is 0.03448.
Med is the middle value of the data set. Since there are 6 numbers in the set, the median would be the 3rd and 4th numbers, which are 0.03448 and 0.037037.
Q3 is the value that separates the highest 25% of the data from the rest of the data. To find Q3, we need to find the median of the upper half of the data set. Since there are 6 numbers in the set and Q3 is the middle value of the upper half, Q3 would be the 5th number in the ordered set, which is 0.346790.
Min is the smallest value of the dataset, which is 0.02
Max is the largest value of the dataset, which is 346
Graph the line with the equation y=3x-3
Answer: hope this helps
Step-by-step explanation:
To find the intercept with the
y
axis, substitute
x
=
0
into the equation of the line to find:
y
=
−
3
⋅
0
−
3
=
−
3
So the
y
intercept is at
(
0
,
−
3
)
To find the intercept with the
x
axis, substitute
y
=
0
into the equation of the line to find:
0
=
−
3
x
−
3
Add
3
x
to both sides to get:
3
x
=
−
3
Divide both sides by
3
to get:
x
=
−
1
So the
x
intercept is at
(
−
1
,
0
)
graph{-3x-3 [-10, 10, -5, 5]}
The Directed Disjoint Paths Problem is defined as follows. We are given a directed graph G
and k pairs of nodes (s1, t1), (s2, t2), . . . , (sk, tk). The problem is to decide whether there exist node
disjoint paths P1, P2, . . . , Pk so that Pi goes from si to ti.
Show that Directed Disjoint Paths is NP-complete.
To show that the Directed Disjoint Paths Problem is NP-complete, we can use a reduction from the well-known NP-complete problem of Hamiltonian Path, which is defined as follows: given a graph G and a starting node s, does G contain a simple path that visits every node exactly once and ends at s?
We can reduce the Hamiltonian Path problem to the Directed Disjoint Paths Problem as follows. Given a graph G and a starting node s for the Hamiltonian Path problem, we can construct a new graph G' as follows:
For each node v in G, create two new nodes v1 and v2 in G'.For each edge (u,v) in G, create an edge (u2,v1) in G'.For each node v in G, create an edge (v1,v2) in G'.For each node v in G, create an edge (v2,s1) in G' if v is not the starting node s, or an edge (v2,s2) in G' if v is the starting node s.Now, consider the k pairs of nodes (s1,t1), (s2,t2), ..., (sk,tk) in G', where si and ti are the corresponding nodes in G' for the ith node in G. We can see that G contains a Hamiltonian path from s to s if and only if G' contains k node-disjoint paths from si to ti for all i.
Since the Hamiltonian Path problem is NP-complete, and we have shown that it can be reduced to the Directed Disjoint Paths Problem in polynomial time, it follows that the Directed Disjoint Paths Problem is also NP-complete.
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Please help me I need it done by towmorrow
Answer:
1. 12 inches are in 1 foot, 48 inches of ribbon divided by 12 is 4 feet of ribbon.
2. Since there are 12 inches in 1 foot you multiply by 3 to 12 inches for 36 inches of ribbon.
3. When you're finding inches you need to divide but when you're finding feet you need to multiply.
4. His library card is 80 millimeters and since there are 10 millimeters in 1 centimeter you divide 80 by 10 to get 8 centimeters
5. His key chain is 35 millimeters long.
6. 3 quarts is bigger than 5 pints by 2 cups.
Picture contains the work you should show for questions 5 and 6.
If f(-5)=7 identify a point on the graph of f
Answer:
If f(-5) = 7, then the point P(-5, 7) will be on the graph of f
where -5 is the x-coordinate and 7 is the y-coordinate
Step-by-step explanation:
As Mars revolves around the sun, it travels at a speed of approximately 15 miles per second. Convert this speed to kilometers per second. At this speed, how
many kilometers will Mars travel in 20 seconds? In your computations, assume that I mile is equal to 1.6 kilometers. Do not round your answers.
Mars travels at a rate of 24 km per second.
At this rate, Mars travel 480 km in 20 seconds.
What is speed?
The speed of an item, which is a scalar quantity in everyday usage and kinematics, is the size of the change in that object's position over time or the size of the change in that object's position per unit of time.
Here, we have
Mars revolves around the sun, it travels at a rate of approximately 15 miles per second.
1 mile = 1.6 km (given)
15 miles = 15 ×1.6 = 24 km
So, Mars travels at a rate of 24 km per second.
In 20 seconds, Mars will travel 24×20 =480km
Hence, Mars travels at a rate of 24 km per second.
At this rate, Mars travel 480 km in 20 seconds.
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Three friends went to Staples for school supplies. Anna bought two notebooks, one pencil, and three
binders for $14.50. Josh bought one notebook, four pencils, and one binder for $7.50. Alex bought 3 notebooks,
two pencils and two binders for $14.50. Find the price of each item by solving a system of three equations
algebraically
Answer:
A pencil costs $0.50
A binder costs $3.00
A notebook costs $2.50
Step-by-step explanation:
Represent Notebook with N, Pencil with P and Binder with B
For Anna:.
2N + P + 3B = 14.50
For Josh:.
N + 4P + B = 7.50
For Alex:
3N + 2P + 2B = 14.50
Required
Solve for N, P and B
Make N the subject in the second equation
N + 4P + B = 7.50
N = 7.50 - 4P - B
Substitute 7.50 - 4P - B for N in the first equation
2N + P + 3B = 14.50
2(7.50 - 4P - B) + P + 3B = 14.50
Open Bracket
15.0 - 8P - 2B + P + 3B = 14.50
Collect like terms
3B - 2B + P - 8P = 14.50 - 15.0
B - 7P = -0.50
B = 7P - 0.50
Substitute 7.50 - 4P - B for N in the third equation
3N + 2P + 2B = 14.50
3(7.50 - 4P - B) + 2P + 2B = 14.50
22.50 - 12P - 3B + 2P + 2B = 14.50
Collect Like Terms
2P -12P + 2B - 3B = 14.50 - 22.50
-10P - B = -8
Multiply through by -1
10P + B = 8
Recall that B = 7P - 0.50
10P + B = 8 becomes
10P + 7P - 0.50 = 8
17P - 0.50 = 8
17P = 8 + 0.50
17P = 8.50
Divide through by 17
P = 8.50/17
P = 0.50
This implies that a pencil costs $0.50
Substitute 0.50 for P in B = 7P - 0.50
B = 7 * 0.50 - 0.50
B = 3.50 - 0.50
B = 3.00
This implies that a binder costs $3.00
Substitute 3.00 for B and 0.50 for P in N = 7.50 - 4P - B
N = 7.50 - 4 * 0.50 - 3.00
N = 7.50 - 2.00 - 3.00
B = 2.50
This implies that a notebook costs $2.50
What are the important variables in the problem below?
A test is worth 80 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 4 points. If the test has 25 questions, how
many multiple-choice questions are there?
OA. p for points, m for multiple choice
OB. s for short answer, t for test
OC. m for multiple choice, s for short answer
OD. t for test, q for questions
The important variables are the two types of test questions which can be represented as :
m for multiple choice, s for short answerVariables are used to represent unknown values which could be worked out in a mathematical expression or problem.
The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer
Therefore, the correct option is C. m for multiple choice, s for short answer
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If there is 6 A of current through the filament of a lamp, how many coulombs of charge move through the filament in 1.75 s?
In 6A, 10.5 coulomb of charge is moved through the filament in 1.75 seconds.
What is charge?The electrical current that flows across conducting wires is carried by electrons, which are tiny particles. Negatively charged particles are electrons.
Charge is expressed in coulombs, or C.
The charge of an electron is 1.6 x\(10^{-19}\)C.
The connection between current I and charge amount Q
Charged particle flow is what makes up an electric current.
One ampere of current flows when one coulomb of charge passes through a certain place in a circuit once every second.
The magnitude of an electric current affects how quickly charges flow.
I =\(\frac{quantity of charge(Q)}{Time taken (t)}\)
Given: current I= 6A at time t=1.75s,
I = Q / t
Q = I x t
Q = 6 x 1.75
Q = 10.5 coulomb
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What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
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Bert draws a card from a deck of cards and Ernie rolls a six sided die at the same time.
Compute the probability that Bert gets a King and Ernie rolls a twenty.
SIMPLIFY AND GIVE THE FINAL ANSWER.
A number, x, increased by 5 is the same
as twice the same number, decreased
by seven.
Answer:
n = 12
Step-by-step explanation:
n + 5 = 2n - 7
7+5=2n-n
12=n
12+5=2(12)-7
Please help me and ty :)
Answer:
$60
Step-by-step explanation:
In a set of data, the median is the value that is placed in the middle. to find the median, we must order the numbers from least to greatest, like so:
20, 40, 40, 50, 60, 60, 60, 60, 70, 70
Using this representation, we find that there are two numbers in the middle: 60 and 60 (since the amount of data is an even number, there will be two numbers in the center).
When something like this occurs, find the average of the two numbers in the middle (and the values and divide by the number of values). We have:
60 + 60 = 120;
\(\frac{120}{2} = 60\)
Therefore, the median is $60.
Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium?
Hint: Think about the point where they both meet. For example, if you were to place the graphs on top of each other, what would be the point of intersection?
Type the correct number below without the dollar sign.
Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.
Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.
Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.
At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.
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TRAVEL Marion is travelling 500 miles by car. She drives 250 miles at an average rate of x miles per hour the first day and the remaining 250 miles at an average rate of x−5
miles per hour. Select the expression that represents the amount of time Marion spent traveling the 500 miles. (Hint: Write out the units to determine how to solve the problem.)
Multiple choice question.
A)
x(x−5)/500x−1250
B)
62,500/x(x−5)
C)
500x−1250/x(x−5)
D)
500/2x−5
Answer:
C) (500x - 1250)/x(x - 5)----------------------------------
We know that the equation for the time is:
time = distance / speedFind the time at travel in the first day:
250/xFind the time at travel in the second day:
250/(x - 5)To find the total time add app the two expressions we got above:
250/x + 250/(x - 5) = 250[1/x + 1/(x - 5)] = 250(x - 5 + x)/x(x - 5) = 250(2x - 5)/x(x - 5) = (500x - 1250)/x(x - 5)There matching choice is C.
Si tengo 10 melones y voy a repartir entre 15 niños cuánto le toca a cada uno
Answer:
0.66 melones por niño o 2/3
Step-by-step explanation:
10/15=2/3=0.66
|3x + 12| = 0
What does x equal
The value of x in the absolute value equation |3x + 12| = 0 is -4
How to evaluate the equation?From the question, we have the following parameters that can be used in our computation:
|3x + 12| = 0
The above equation is an absolute value equation
So, we start by removing the absolute brackets
So, we have the following representation
3x + 12 = 0
Evaluate the like terms
This gives
3x = -12
Divide both sideso of the equation by 3
x = -4
Hence. the solution is -4
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13. Find the equation of the line through the points (3, -1) and (6, 7).
Ans:8x-3y=27
Step-by-step explanation:
let,A,B be the line which have points (3,-1),(6,7)
here,
(3,-1)=(x1,y1)
(6,7)=(x2,y2)
then,
slope of line AB =(y2-y1/x2-x1)
=(7+1/6-3)
=8/3
Now,
equation of the line AB,
(y-y1)=m(x-x1)
(y+1)=8/3(x-3)
3y+3=8x-24
-8x+3y=-24-3
-8x+3y=-27
-(8x-3y=27)
8x-3y=27
Hence, the equation of the line through the points (3,-1) ,(6,7) is 8x-3y=27.
i need help on this question
Answer:
1/2 or 0.5
Step-by-step explanation:
4x+8=10tothefirstpower x=1/2 or 0.5
PLEASEEEEEE I NEEED HELLPPPPP IM BEGGGINGGGG SOMONE PLEASEEEEE HELPPPPPPPPPPPP
Answer:
2nd option:
8x+2y=32
x+y=7
Step-by-step explanation:
Answer:
It is in fact the second one.
Step-by-step explanation:
It says that he bought a total of 7 tickets and it cost $32.
x represents the number of adult tickets and y represents the number of chid tickets.
So:
x + y = 7 because the adding the number of adult and child tickets should equal the total number bought.
and
8x + 2y = 32 because each adult ticket was 8 dollars and each child was 2 and the total should add up to 32
In the game of Pick-A-Ball, there are 10 colored balls: 2 red, 4 white, and 4 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. It is common in games of chance to be rewarded for obtaining unlikely results. For example, in the game of poker, hands that are less likely to occur tend to trump hands that are more likely to occur. That same concept applies in this game. It costs $10 to play Pick-A-Ball, and your prize is the reciprocal of the probability of obtaining your exact sequence of results, expressed in dollars. For example, if the probability of obtaining your exact sequence of results is 0.10, your prize is 1/0.10
Required:
What is the probability of selecting the color of ball that you just selected?
Answer:
The probability of selecting the color of ball that you just selected(a red ball) is \(P(r) = \frac{2}{10}\)
Step-by-step explanation:
From the question we are told that
The total number of colored balls is n = 10
The number of red balls is r = 2 red
The number of white ball is w = 4
The number of blue balls is b = 4
The number of balls to be selected is N = 2 balls
The cost of playing picking a ball is c = $10
The winnings is \(k = \$ P(A)\)
Here P(A) is the probability of obtaining the exact sequence of result and from the question it is P(A) = 0.10
Generally my price according to the question is
\(k = \frac{0.10 }{10}\)
=> \(k = 0.01 \)
Let assume we selected a red ball
Generally the probability of selecting a red ball is mathematically represented as
\(P(r) = \frac{2}{10}\)
how many perfect square are there between 1,000,000 and 9,000,000?
Answer:
1999
Step-by-step explanation:
The square root of 1,000,000 = 1,000.
The square root of 9,000,000 = 3,000.
This means that the number of perfect square will be every number from 1,000^2 to 3,000^2. To find how many numbers that is, just do 3000-1000 = 2000, and then subtract one because otherwise you would be counting the 3000^2 which you don't want to do (it asks how many perfect squares are between the two numbers).
2000 - 1 = 1999.
The number of perfect squares between the values 1,000,000 and 9,000,000 would be 1999
Taking the square root of the boundaries :
√1,000,000 = 1000√9,000,000 = 3000The number of perfect squares would be :
[(√9,000,000 - √1,000,000) - 1]
[3000 - 1000] - 1
2000 - 1
= 1999
Hence, the number of perfect squares would be 1999.
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2. Six months after John William becomes a shareholder, Peixotto Media announces
its first shareholder meeting. Because the co-presidents will be making some very
important announcements about decisions that will be voted upon by the
shareholders, John William attends. He finds that of the 20,000 shares that have
been offered so far, the shareholders who attend the meeting own 6,000 of them.
a. The co-presidents propose adding a new member to the company's board of
directors. The shareholders are allowed to vote on this matter. What percentage of
the total vote will John William control? (2 points)
b. The company's co-presidents announce that Peixotto Media will be issuing
another offering of stock, this time in the amount of 50,000 shares. Given his
preemptive rights as an existing shareholder, how many shares of this stock is John
William entitled to purchase before the offering is made to the public? (3 points)
John William is entitled to purchase 15,000 shares before the offering is made to the public.
a. To calculate the percentage of the total vote John William will control, we need to find the proportion of shares he owns out of the total shares represented at the meeting.
John William owns 6,000 shares out of the 20,000 shares offered so far. Therefore, the proportion of shares he owns is 6,000/20,000, which simplifies to 3/10 or 0.3.
To convert this proportion to a percentage, we multiply by 100:
Percentage of the total vote = 0.3 * 100 = 30%
Thus, John William will control 30% of the total vote at the. shareholder meeting.
b. Preemptive rights allow existing shareholders to purchase new shares before they are offered to the public. To determine the number of shares John William is entitled to purchase, we need to calculate the proportion of his current ownership.
John William owns 6,000 shares out of the total shares offered so far, which is 20,000. Therefore, his ownership proportion is 6,000/20,000, or 3/10.
If Peixotto Media plans to issue 50,000 new shares, John William's entitlement would be:
Entitlement = (3/10) * 50,000 = 15,000 shares.
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