The table can be created as Inthe attached image;
What table can be created from the given values?The task content indicates that the ratio of proportionality, k cannot be an integer. Hence, using the fraction 2/3 as the ratio of proportionality, it follows that the table obtained in the attached image.
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How many pounds of a metal containing 20% nickel must be combined with 6 pounds of a metal containing 80% nickel to form an alloy containing 60% nickel
Let's denote the amount of the metal containing 20% nickel that needs to be combined as 'x' pounds.
The amount of nickel in the metal containing 20% nickel is 20% of 'x', which can be expressed as 0.2x pounds.
The amount of nickel in the metal containing 80% nickel is 80% of 6 pounds, which can be expressed as 0.8 * 6 = 4.8 pounds.
To form an alloy containing 60% nickel, the total amount of nickel in the alloy should be the sum of the nickel amounts in each metal. Therefore, we can set up the equation:
0.2x + 4.8 = 0.6(x + 6)
Simplifying and solving for 'x':
0.2x + 4.8 = 0.6x + 3.6
0.2x - 0.6x = 3.6 - 4.8
-0.4x = -1.2
x = -1.2 / -0.4
x = 3
Therefore, 3 pounds of the metal containing 20% nickel must be combined with 6 pounds of the metal containing 80% nickel to form an alloy containing 60% nickel.
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Andre and Diego were each trying to solve 2x+6=3x−8 . Complete the statement that describes the first step they each made in solving the equation.
Choices:
-x
-2x
-3x
t is given that point P (2, π/4, 2) and a vector A = cos Ø- O sin Ø + 2 cos 0 sing defined in Cylindrical coordinates. Express vector A in Cartesian coordinates and evaluate A at point P (10 marks, C2)
At point P (2, π/4, 2), vector A in Cartesian coordinates is A = <1, 2.5, 2>.
To express vector A in Cartesian coordinates, we can use the following conversions between cylindrical and Cartesian coordinates:
x = ρ * cos(θ)
y = ρ * sin(θ)
z = z
Given vector A = cos(θ) - ρ * sin(θ) + 2 * cos(θ) * sin(θ), we can substitute the corresponding expressions for ρ, θ, and z:
x = cos(θ) * cos(θ) - ρ * sin(θ) * sin(θ) + 2 * cos(θ) * sin(θ)
y = cos(θ) * sin(θ) + ρ * cos(θ) * sin(θ) + 2 * cos(θ) * sin(θ)
z = 2
Simplifying these expressions, we get:
x = cos^2(θ) + 2 * cos(θ) * sin(θ) - ρ * sin^2(θ)
y = cos(θ) * sin(θ) + ρ * cos(θ) * sin(θ) + 2 * cos(θ) * sin(θ)
z = 2
Now, we can evaluate vector A at point P (2, π/4, 2):
x = cos^2(π/4) + 2 * cos(π/4) * sin(π/4) - 2 * sin^2(π/4)
y = cos(π/4) * sin(π/4) + 2 * cos(π/4) * sin(π/4) + 2 * cos(π/4) * sin(π/4)
z = 2
Simplifying further, we have:
x = (1/2) + 1 - (1/2) = 1
y = (1/2) + 1 + 1 = 2.5
z = 2
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Question in the picture
Answer:
The Internet started in the 1960s as a way for government researchers to share information. ... This eventually led to the formation of the ARPANET (Advanced Research Projects Agency Network), the network that ultimately evolved into what we now know as the Internet.
what is the probability that a 5 card poker hand contains exactly one a?
The probability that a 5-card poker hand contains exactly one ace is 0.422569... or about 42.3% (rounded to one decimal place).
What is the probability that a 5-card poker hand contains exactly one ace?A standard deck of playing cards has 52 cards. Four of these cards are aces, so the probability of drawing an ace from a deck of cards is 4/52 or 1/13.
There are five cards in a poker hand. To calculate the probability of a poker hand containing only one ace, we need to look at how many ways there are to choose the remaining four cards from the deck.
Let's start by looking at how many possible 5-card hands there are in a deck of cards. This is calculated as 52 choose 5, or:
C(52, 5) = 2,598,960
This means that there are 2,598,960 possible ways to choose five cards from a deck of 52.
Now we need to figure out how many of these hands contain only one ace.
The remaining four cards in the hand cannot be aces, as there is only one ace in the hand.
There are 48 non-ace cards in the deck. To calculate the number of possible hands with one ace, we need to choose one of the four aces, then choose four of the 48 non-ace cards.
The total number of hands with one ace is:
C(4, 1) × C(48, 4) = 1,098,240
So the probability of a 5-card poker hand containing only one ace is:
1,098,240 / 2,598,960 = 0.422569... or about 42.3% (rounded to one decimal place).
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Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope intercept form.
slope = 1/2, y intercept = 3
==============================================================
Work Shown:
Pick any two points you want on the line.
I'll pick the two points (0,3) which is the y intercept and also the point (2,4).
------
Find the slope of the line through (x1,y1) = (0,3) and (x2,y2) = (2,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 3)/(2 - 0)
m = 1/2 is the slope
slope = rise/run = 1/2
rise/run = 1/2 means rise = 1 and run = 2.
This means we go up 1 unit each time we move to the right 2 units.
-----
Since the slope is m = 1/2 and the y intercept is b = 3, we can say
y = mx+b
y = (1/2)x+3
this is the same as y = 0.5x+3 since 1/2 = 0.5
help , i need this assignment don asap
Answer:
I think it's 17/28 but I don't knkw
What is the area of the triangle of (-5,6),(1,3),(-5,-3)
Answer :
Hey there! I'm happy to help!
To find the area of a triangle you multiply the base by the height.
We see that our base is 5 units long because it stretches from -6 to -1 on the coordinate plane. Our height is 8 because the y value goes from 3 to -5.
To find the area of a triangle, you just multiply the base by the height then divide by 2.
5(8)=40
40/2=20
The area is 20 square units.
Have a wonderful day! :D
Is This What You Triangle Looks Like?
Evaluate the function
y = x² - 4; x = -5
Answer: y= 21
Step-by-step explanation: Hope this helps Have a brilliant day- Lily ^_^
(Can anyone answer this please? I need it ASAP!!) A2B3C4 (in hexadecimal) - 3F2E1D (in hexadecimal) = ______________
The hexadecimal value from the operation is 6385A7
Hexadecimal NumbersTo solve this problem, we have to subtract the hexadecimal numbers from one another.
In doing so, we would subtract 3F2E1D from A2B3C4.
This would give us,
\(A2B3C4 - 3F2E1D = 6385A7\)
The value of the expression is 6385A7.
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Solve this equation
help please.........
The required quotient of the given expression -1/8 × 2/3 is given as -1/12.
What is simplification?The procedure in mathematics to work and crack the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
= -1/8 × 2/3
= -1/ [4×3]
= -1/12
Thus, the needed quotient of the given expression -1/8 × 2/3] is given as -1/12.
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The graph of a function is shown below. What is its range?
O (1, 2, 4)
O (1, 2, 3, 5)
O All real numbers.
O (1, 2, 3, 4)
(1,2,4)
Step-by-step explanation:Range describes the y-values of a graph.
Range
Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.
Finding Range
In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).
Kasie deposits $2.50 each day
for 6 days. What is the change
in Kasie's bank account?
Answer:
300
Step-by-step explanation:
50 x 6 gets your explanation.
Answer:
15 dollars
Step-by-step explanation:
2.50×6= 15
two dollars and fifty cent times the amount of days equals the amount of money Kasie has in here bank account
Which of these is equivalent to the expression s+s + s + s + 12 ?
he following data are collected as part of a study of coffee consumption among undergraduate students. the following values reflect cups per day consumed: 3 4 6 8 2 1 0 2 compute the sample mean. compute the sample standard deviation. construct a 95% ci for the mean number of cups of coffee consumed among all undergraduates.
Sample Mean: 3.25
Standard Deviation: 2.29
CI: 1.36 to 5.14
To compute the sample mean, add up all the values and divide the sum by the number of values in the data set. In this case, the data set is 3, 4, 6, 8, 2, 1, 0, 2.
Summing up the values: 3 + 4 + 6 + 8 + 2 + 1 + 0 + 2 = 26.
There are 8 values in the data set, so divide the sum by 8: 26 / 8 = 3.25.
Therefore, the sample mean is 3.25 cups of coffee per day.
To compute the sample standard deviation, we need to find the square root of the variance. The variance is the average of the squared differences from the mean.
First, calculate the squared differences from the mean for each value:
(3 - 3.25)^2 = 0.0625
(4 - 3.25)^2 = 0.5625
(6 - 3.25)^2 = 7.5625
(8 - 3.25)^2 = 20.0625
(2 - 3.25)^2 = 1.5625
(1 - 3.25)^2 = 5.0625
(0 - 3.25)^2 = 10.5625
(2 - 3.25)^2 = 1.5625
Next, find the average of these squared differences:
(0.0625 + 0.5625 + 7.5625 + 20.0625 + 1.5625 + 5.0625 + 10.5625 + 1.5625) / 8 = 5.25.
Finally, take the square root of the variance to find the sample standard deviation:
sqrt(5.25) ≈ 2.29.
Therefore, the sample standard deviation is approximately 2.29 cups.
To construct a 95% confidence interval for the mean number of cups of coffee consumed among all undergraduates, we can use the formula:
CI = sample mean ± (t * (sample standard deviation / sqrt(n))),
where t is the t-value for the desired confidence level, sample standard deviation is the calculated standard deviation, sqrt(n) is the square root of the sample size, and the sample mean is the calculated mean.
For a 95% confidence level, with a sample size of 8, we can find the t-value from a t-table. The t-value for a 95% confidence level with 8 degrees of freedom is approximately 2.306.
Plugging in the values, the confidence interval is:
CI = 3.25 ± (2.306 * (2.29 / sqrt(8))).
Calculating the lower limit:
3.25 - (2.306 * (2.29 / sqrt(8))) ≈ 1.36.
Calculating the upper limit:
3.25 + (2.306 * (2.29 / sqrt(8))) ≈ 5.14.
Therefore, the 95% confidence interval for the mean number of cups of coffee consumed among all undergraduates is approximately 1.36 to 5.14 cups per day.
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Given the number n as input, print the first n odd numbers starting from 1. for example if the input is 4 the output will be: 1 3 5 7
Pseudocode algorithms are used as prototypes of an actual program.
The required pseudocode algorithm is as follows:
1. Start
2. Input n
3. Odd = 1
4. For i in range(n):
4.1 Print Odd 4.2 Odd = Odd + 2
How to write the pseudocode that prints the first n odd numbers starting from 1?The pseudocode that prints the first n odd numbers starting from 1 is as follows:
1. Start
2. Input n
3. Odd = 1
4. For i in range(n):
4.1 Print Odd 4.2 Odd = Odd + 2
The above pseudocodes would print the first n odd numbers starting from 1, given that n is the input
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Can you tell answer of this question
Answer:
what is the question?
Step-by-step explanation:
#MASTER GROUP
# FIRST MASTER
# PHILIPPINES
A motorcycle can go 50 miles on 1 gallon of gas. How many gallons will be used to go 150 km? I mile is about 1.6 km. Round to the nearest gallon.
Answer:
1.875 gallons
Step-by-step explanation:
Data
distance = 50 mi
volume of gas = 1 gal
volume for 150 km = ?
Process
1.- Convert 50 mi into kilometers
1 mile ------------------- 1.6 km
x ------------------ 150 km
x = (150 x 1)/1.6
x = 93.75 mi
2.- Calculate the gallons wasted
1 gallon ----------------- 50 mi
x ---------------- 93.75 mi
x = (93.75 x 1)/50
x = 93.75/50
x = 1.875 gallons
Factor 10z + 45.
i need help!
Answer:
5(2z +9)
Step-by-step explanation:
factor out 5 of 10z +45
The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata, manufactured by Phonola Record Industries, is related to the price per compact disc. The equation p = -0.00054 x + 7\ \ \ \ \(0<=x<=12,000\) where p denotes the unit price in dollars and x is the number of discs demanded, relates the demand to the price. The total monthly cost (in dollars) for pressing and packaging x copies of this classical recording is given by C(x) = 600 + 2x - 0.00001 x^2 \ \ \ \ \(0<=x<=20,000\)
To maximize its profits, how many copies should Phonola produce each month? Hint: The revenue is R(x) = px, and the profit is P(x) = R(x) - C(x).
(Round your answer to the nearest whole number.) (blank) discs/mont
The equation for demand is p = -0.00054x + 7 (where p denotes the unit price in dollars and x is the number of discs demanded, relates the demand to the price) and the equation for cost is C(x) = 600 + 2x - 0.00001x2.
To maximize its profits, the number of copies Phonola Record Industries should produce each month can be found by calculating P(x) and then finding its maximum value by differentiating it with respect to x, setting the derivative equal to zero, and then solving for x. The maximum value of P(x) will give the optimal quantity. This optimal value should be rounded to the nearest integer.
The demand for Walter Serkin's recording of Beethoven's Moonlight Sonata, produced by Phonola Record Industries, is determined by the unit price in dollars and the number of discs demanded. The relation between these variables can be given by the demand equation p = -0.00054x + 7, where p denotes the unit price in dollars and x is the number of discs demanded. The cost of producing these discs can be given by the cost equation C(x) = 600 + 2x - 0.00001x2, where x is the number of copies produced per month.Since the revenue generated is determined by the unit price and the number of copies sold, R(x) = px, and the profit is given by P(x) = R(x) - C(x). To maximize profits, the optimal number of copies Phonola should produce can be obtained by finding the maximum value of P(x).To obtain the optimal number of copies Phonola should produce, we must first calculate the profit function P(x), which is the difference between the revenue and cost functions. This is given by:P(x) = R(x) - C(x)P(x) = px - (600 + 2x - 0.00001x2)P(x) = -0.00054x2 + 5x - 600To find the optimal value of x, we differentiate P(x) with respect to x and set it equal to zero: dP(x)/dx = -0.00108x + 5 = 0x = 4629Rounding this value to the nearest integer gives us 4630 as the optimal number of copies that Phonola should produce.
The optimal number of copies that Phonola should produce to maximize its profit is approximately 4630 copies per month.
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If it takes an airplane 3 hours to fly 3600 miles, how long will it take to fly
5400 miles. Use a decimal for your answer rounded to the nearest tenth.
Answer:
270 minutes or 4.5 hours
Step-by-step explanation:
You need to find the unit rate in order to solve this problem with the given information. In order to find the unit rate (in minutes) let's find each minute. Do 3600/180=20. You use 180 because that's the amount of minutes in 3 hours. Then, you take 5400 and divide it by 20 to get 270. Convert back to hours and rounded you get 4.5 hours.
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Answer:
Circle
Step-by-step explanation:
Every shape appears 4 times except circle.
Answer:
Circle
Step-by-step explanation:
Because 1st one 4 triangles,
2nd one 4 stars,
3rd on 4 diamonds
and last 3 Circles but it should be 4
so the answer is Circle
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1. Ryan and Rachel attended the weekend games at the neighborhood stadium and bought some food at the stands Ryan paid $7.10 for 3 corndogs and 1 coke Rachel paid $7.20 for 2 corndogs and 2 cokes. How much is each corndog?
Please help :( I’ll give you brainiest ♡
Answer:
$1.75
Step-by-step explanation:
Set up a system of equations where x is the cost of a corndog and y is the cost of a coke:
3x + y = 7.1
2x + 2y = 7.2
Solve by elimination by multiplying the top equation by -2
-6x - 2y = -14.2
2x + 2y = 7.2
Add them together:
-4x = -7
x = 1.75
So, the cost of one corndog is $1.75
Sorry I tried doe
(The answer I got would be in the negatives, I don't think that would be correct)
What are the number of distinct subsets and number of distinct proper subsets for {a,b,c,d,e,f}?{a,b,c,d,e,f}?
{a,b,c,d,e,f} each have 63 distinct subsets, including distinct proper subsets.
Explain about the Subset Theory?A subset is a part of the a universal set mathematically, which implies that every element in the given set is likewise a component of the entire set.For instance, a set A is only referred to as the subset of such a set B if and only if both sets' items are present in the set A. a subset's symbolic representation: A ⊆ B.The formula: = 2ⁿ . where n is the total number of items in the set, can be used to calculate the total number unique subsets of a set.Currently, an empty set always makes up this number of subsets.
There are:
in all, appropriate subsets.
= 2ⁿ - 1
Given set: {a,b,c,d,e,f}
Total number of digits in the set :
n(S) = 6
Thus,
The total number of subsets in this given set:
= 2ⁿ
= 2⁶
= 64
There are always an empty set in this amount of subsets.
Thus, there are 63 appropriate subsets in all of the given set.
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-3x + y = 7
5x+ 2y = 3
Substitution?
Answer: r=-1,y=4
Step-by-step explanation:
Use your calculator to sketch the graph.
y=e^-x+x for [-3,6]
On solving the provided question we can say that from the graphs y=e^-x+x => y = -3
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle
here,
from the graphs
y=e^-x+x
for(-3,6)
y = e^-3 -3
y = -3
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work out the size of one interior angle of a regular 10-sided shape.
Answer:
144*
Step-by-step explanation:
decagon has 10 sides every side is 144* angles
Answer:
144
Step-by-step explanation:
Select the correct answer. what is the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11? a. 0.257 b. 0.284 c. 0.312 d. 0.356 e. 0.548
Based on the number of people who are older than 35 years and the people with a hemoglobin level between 9 and 11, the probability is 0.531.
What is the probability of having the required hemoglobin level?This question does not have the relevant data attached so I will use a similar question.
The probability that a person is older than 35 and has a hemoglobin level of between 9 and 11 can be found as:
= Person who has hemoglobin level of between 9 and 11 and is above 35 years / Total number of people older than 35 years
= (162 - 40 - 76) / 162
= 0.531
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i dont understand please help!