Doea the equation 6y=18x represent a direct variation? If it does, what is the constant of variation
Answer:
Yes
3
Step-by-step explanation:
a direct variation is written in the form
y = kx
k is a constant which is usually non zero.
6y = k18x
k = 3
An increase in x would lead to an increase in y
Is 63 ÷ –7 positive or negative?
Answer:
Negative
Step-by-step explanation:
Answer:
Negative
Step-by-step explanation:
A positive divided by a negative is a negative.
If you can please help thank you
Answer:
d) 2x^2 + 2x -59
Step-by-step explanation:
(x-8)(x+4) + (x-3)(x+9) *multiply each term (...)(...)*
x^2 - 4x - 32 + x^2 + 6x -27 *combine like terms*
2x^2 +2x - 59
Find the vector equation of the line
y=6x−4
.
Correct answer selected
r(t)=(6+26t,32+156t)
r(t)=(6−26t,32+156t)
r(t)=(32+26t,6+156t)
r(t)=(6+156t,6+26t)
I hope someone seriously helps him :(
Step-by-step explanation:
sorry I couldn't help ya
If a water tank already contains 55 gallons of water when baxter begins to fill it and water is flowing in at a rate of 8 gallons per minute what would the linear equasion for that be?
Answer:
I think it would be 55+8x. I hope this helps. :)
Step-by-step explanation:
55 gallons of water
8 gallons per minute
It would be 55 gallons (the original amount in the tank) plus 8 gallons per minute. (8x)
x = how many minutes the tank is being filled up more.
so if you were to fill up the tank another 5 minutes, the equation would be 55+8(5)
55+40
95 would be the answer.
A right cone has a slant height of 6 and a radius of 4. What is its surface
area?
The surface area of the cone is 40π
What is a cone?A cone is a solid shape with a circular base and a tapered side.
Analysis:
surface area of a cone = πrl + π\(r^{2}\) = π( 6x4) + π(4 x 4) = 40π
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Write the mathematical model and use Solver to answer the following question:
A farm co-op has 6,000 acres available to plant with corn and soybeans. Each acre of corn requires 9 gallons of fertilizer/herbicide and 0.75 hour of labor to harvest. Each acre of soybeans requires 3 gallons of fertilizer/herbicide and 1hour of labor to harvest. The co-op has available at most 40,501 gallons of fertilizer/herbicide and at most 5,250 hours of labor for harvesting. Find the maximum profit if the profits per acre are $75 for corn and $40 for soybeans. Round your answer to the nearest cent if necessary.
a. $210,000.00
b. $393,750.00
c. $371,255.83
d. $180,004.44
e. $318,744.17
The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.
To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.
Let x be the number of acres of corn and y be the number of acres of soybeans.
1. Total acre constraint: x + y ≤ 6,000
2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501
3. Labor constraint: 0.75x + y ≤ 5,250
The objective function to maximize is the profit function: P(x,y) = 75x + 40y
Now, we will use the Solver to find the maximum profit:
Step 1: Set up a spreadsheet with the constraints and the objective function.
Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.
Step 3: Set the objective function by selecting the cell with the profit function.
Step 4: Choose "Max" for the objective.
Step 5: Add the constraints by selecting the corresponding cells.
Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.
After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83
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why does the semi-strong form of the efficient markets hypothesis (emh) imply that prices should follow a random walk (with drift)?
The semi-strong form of the Efficient Markets Hypothesis (EMH) asserts that all publicly available information is rapidly and accurately reflected in a stock's current price.
This implies that new information that enters the market is quickly incorporated into the stock price, making it difficult for traders to earn excess returns by analyzing publicly available information.
If prices are already reflecting all available information, then the only way for prices to move in the future is through new and unpredictable information entering the market. Thus, the semi-strong form of the EMH implies that stock prices should follow a random walk.
A random walk is a mathematical model that describes the movement of a variable (in this case, the stock price) that is determined by a sequence of random events. In the context of stock prices, a random walk implies that the future price changes are not predictable, and that they are not dependent on past prices or any other historical data.
The "drift" in a random walk with drift means that the expected value of the random walk is not zero, but rather changes at a constant rate over time. In the case of stock prices, the drift component reflects the fact that stock prices tend to increase over time due to factors such as economic growth, inflation, and increased profitability of companies.
Therefore, the semi-strong form of the EMH implies that stock prices should follow a random walk with drift, as the prices should be constantly adapting to new information and changing in response to underlying economic factors.
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Simplify each expression. Rationalize all denominators.
√3 4/0.5x
The simplified and rationalized expression is: (4√3)/x.
To simplify the expression and rationalize the denominator, we need to rewrite the expression with a rational denominator.
First, let's simplify the expression: √3 4/0.5x.
To simplify the square root term, we can write it as: √(3 * 4)/(0.5x).
Simplifying the numerator: √12/(0.5x).
Next, let's rationalize the denominator by multiplying both the numerator and the denominator by 2:
(√12 * 2)/((0.5x) * 2).
Simplifying further: (2√12)/(1x).
Finally, simplifying the square root term: (2√(4 * 3))/x.
Simplifying the square root: (2 * 2√3)/x.
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Graph the system of equations. y = 2x y = –x + 6 Two lines on a coordinate plane that intersect at the point 2 comma 4. One line has y intercept 0 and the other has y intercept 6. Two lines on a coordinate plane that intersect at the point negative 2 comma negative 4. One line has y intercept 0 and the other has y intercept negative 6. Two lines on a coordinate plane that intersect at the point 1 comma 2. One line has y intercept 0 and the other has y intercept 3. Two lines on a coordinate plane that intersect at the point 3 comma 3. One line has y intercept 0 and the other has y intercept 6.
The solution to the systems of equations graphically is (2, 4)
Solving the systems of equations graphicallyFrom the question, we have the following parameters that can be used in our computation:
y = 2x
y = -x + 6
Next, we plot the graph of the system of the equations
See attachment for the graph
From the graph, we have solution to the system to be the point of intersection of the lines
This points are located at (2, 4)
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find the area of the region enclosed by the curves y = x and 2x + y2 = 24.
The area of the enclosed region is 83.4 square units.
To calculate the integral, first determine the limits, which will be the points where both curves meet.
The area will be integrated with respect to y.
In respect to y:
\(2x + y^{2}\) = 24
\(2x\) = 24 - \(y^{2}\)
\(x\) = 12 - \(\frac{y^{2} }{2}\)
Finding limits:
y = 12 - \(\frac{y^{2} }{2}\)
12 - \(\frac{y^{2} }{2}\) - y = 0
Multiply by 2 to facilitate calculations:
24 - \(y^{2}\) - 2y = 0
Resolving quadratic equation:
- \(y^{2}\) -2y + 24 = 0
- (\(y^{2}\) + 2y - 24 ) = 0
Divide both sides the same factor,
\(y^{2}\) + 2y - 24 = 0
Use Quadratic formula,
y = (-b ± \(\sqrt (b^{2} -4ac)\) ) / 2a
y = (-2 ± \(\sqrt{2^{2}-4*1*(-24) }\) ) / 2*1
y = (-2 ± \(\sqrt{4+96}\) ) / 2
y = (-2 ± \(\sqrt{100}\) ) / 2
y = (-2 ± 10 ) / 2
y = (-2 + 10 ) /2 , y = (-2 - 10 ) /2
y = 8/2 , y = -12/2
y = 4 , y = -6
y = 4 and y = -6
Then, integral to calculate area will be with limits -6<y<4:
A = \(\int\limits^\) 12 - \(\frac{y^{2} }{2}\) - y dy
A = 12y - \(\frac{y^{3} }{6}\) - \(\frac{y^{2} }{2}\)
A = 12*4 - \(\frac{4^{3} }{6}\) - \(\frac{4^{2} }{2}\) - [12(-6) - \(\frac{-6^{3} }{6}\) - \(\frac{-6^{2} }{2}\) ]
A = 48 - 10.6 - 8 - [ -72 + 36 - 18 ]
A = 48 - 10.6 - 8 + 72 - 36 + 18
A = 83.4
Therefore,
The area of the enclosed region is 83.4 square units.
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At the movies, tickets cost $13.50 for adults and $4.50 for kids under 12. What would
be the total cost for 10 adult tickets and 6 kids tickets? What would be the total cost
for a adult tickets and k kids tickets?
Total cost, 10 adult tickets and 6 kids tickets:
Total cost, a adult tickets and k kids tickets:
Submit Answer
attempt 2 out of 2 / problem 1 out of max 1
Answer:
adult-135
kid-27
Step-by-step explanation:
13.50*10=135
4.50*6=27
A two-digit number read from left to right is 20% greater than the same number read from right to left. Find the number.
Answer:
54
Step-by-step explanation:
We'll call the number "ab".
From left to right, the value of this number will be \(10a+b\).
From right to left, the value of this number will ve \(10b+a\).
From the question,
\(10a+b=1.2(a+10b)\\10a+b=1.2a+12b\\8.8a=11b\)
For a and b to be whole numbers,
\(\left \{ {{a=5} \atop {b=4}} \right.\)
So the number is 54.
Derive the general solution form for the recurrence tn = 120,-2 - 166n-3 + 2" Show your work (all steps: the associated homogeneous equation, the characteristic polynomial and its roots, the general solution of the homogeneous equation, computing a particular solution, the general solution of the non-homogeneous equation.) a
The general solution form for the recurrence tn = 120,-2 - 166n-3 + 2.
Given a recurrence relation tn = 120,-2 - 166n-3 + 2 we have to derive the general solution form for the recurrence sequence.
We have the recurrence relation tn = 120,-2 - 166n-3 + 2
We need to find the solution for the recurrence relation.
Associated Homogeneous Equation: First, we need to find the associated homogeneous equation.
tn = -166n-3 …..(i)
The characteristic equation is given by the following:tn = arn. Where ‘a’ is a constant.
We have tn = -166n-3..... (from equation i)ar^n = -166n-3
Let's assume r³ = t.
Then equation i becomes ar^3 = -166(r³) - 3ar^3 + 166 = 0ar³ = 166
Hence r = ±31.10.3587Complex roots: α + iβ, α - iβ
Characteristics Polynomial:
So, the characteristic polynomial becomes(r - 31)(r + 31)(r - 10.3587 - 1.7503i)(r - 10.3587 + 1.7503i) = 0
The general solution of the Homogeneous equation:
Now we have to find the general solution of the homogeneous equation.
tn = C1(-31)n + C2(31)n + C3 (10.3587 + 1.7503i)n + C4(10.3587 - 1.7503i)
nWhere C1, C2, C3, C4 are constants.
Computing a Particular Solution:
Now we have to compute the particular solution.
tn = 120-2 - 166n-3 + 2
Here the constant term is (120-2) + 2 = 122.
The solution of the recurrence relation is:tn = A122Where A is the constant.
The General Solution of Non-Homogeneous Equation:
The general solution of the non-homogeneous equation is given bytn = C1(-31)n + C2(31)n + C3 (10.3587 + 1.7503i)n + C4(10.3587 - 1.7503i)n + A122
Hence, we have derived the general solution form for the recurrence tn = 120,-2 - 166n-3 + 2.
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I am very curious friends, while we Turks are studying English, if you do not see Turkish lessons, which course do you see?
Başka hangi dil derslerini gördüğümü kastediyorsan, Fransızca ve Arapça görüyorum
Can u guys do this or nah?
Answer:
2. 7 parts are not green. 3. There both equal amounts.
Step-by-step explanation:
Answer:
Orange:
1/4 ÷ 4 = 1/16
1/4 + 1/16 = 5/16
Blue:
1/16 + 1/5 = 21/80
Yellow:
1/4 + 1/16 = 5/16
Green:
1 - 1/5 = 4/5
1/16 + 4/5 = 69/80
__________________
1 - 69/80 = 11/80
__________________
5/16 - 21/80 = 1/20
in a sample of 400 voters, 320 indicated they favor the incumbent governor. the 95% confidence interval of voters not favoring the incumbent is
The 95% confidence interval for voters not favoring is approximately 16.08% to 23.92%.
How to find confidence interval?Calculate the proportion of voters not favoring the incumbent governor:Learn more about confidence interval
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janice was given a piggy bank on her seventh birthday, and she put it to use immediately. each time she puts one or more coins into the piggy bank, she keeps track of the number of coins she has collected to date and the accumulated value of her collection. janice collects only nickels, dimes, and quarters. six months after her seventh birthday, janice looked at her record and ascertained that she had collected 540 coins, which were worth $60. janice counted 100 quarters in her savings. how many nickels and dimes are in her collection?
The number of dimes and nickels in her collection are 296 and 108 respectively.
How to find the number of nickels and dimes?She had collected 540 coins. which were worth $60.
She counted 100 quarters in her saving.
The number of dimes and nickel in her collection can be solved as follows:
Therefore,
let
x = number of dimes
y = number of nickels
number of quarters = 100
Therefore,
x + y + 100 = 504
x + y = 504 - 100
x + y = 404
Hence,
0.1x + 0.05y + 100(0.25) = 60
0.1x + 0.05y = 60 - 25
0.1x + 0.05y = 35
combine the equation
x + y = 404
0.1x + 0.05y = 35
Multiply equation(i) by 0.1
0.1x + 0.1y = 40.4
0.1x + 0.05y = 35
subtract equation(ii) from equation(i)
0.05y = 5.4
divide both sides by 0.05
y = 5.4 / 0.05
y = 108
x = 404 - 108
x = 296
Therefore,
Number of dimes = 296
Number of nickels = 108
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Which expression is equivalent to 5^6 x 5^-2
\(5^{6} *5^{-2} =625\)
If you go twice as fast, will your stopping distance increase by: A. Two times. B. Three times. C. Four times. D. Five times
If you go twice as fast, your stopping distance will increase by four times (option C).
This relationship is based on the laws of physics and the principles of motion.
When an object is in motion, its stopping distance is influenced by its initial speed, reaction time, and braking capabilities. The stopping distance consists of two components: the thinking distance (the distance traveled during the reaction time) and the braking distance (the distance needed to bring the object to a complete stop).
According to the laws of physics, the braking distance is directly proportional to the square of the initial speed. This means that if you double your speed, the braking distance will increase by a factor of four. In other words, going twice as fast will require four times the distance to come to a stop.
It is important to note that this relationship assumes other factors, such as road conditions and braking efficiency, remain constant. However, in real-world scenarios, these factors may vary and can affect the stopping distance to some extent.
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Use this information for Questions 7 - 8: Question 7: Calculate a confidence interval with a confidence level for true average lifetime. Sample mean is 1191.6 and 5 = 506.6 and n=43 (865.0, 1491.3) (901.2. 1705.7) (794.5. 1023.8) (992.3, 1390.9) Question 8 Use this information for Questions 7 - 8: Question 8: What is the z critical value for this problem? Sample mean is 1191.6 and s = 506.6 and n =43. ⢠2.58 196
The confidence interval for the given standard deviation is [992.3, 1390.9].
What is standard deviation?
Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.
Main body:
A)
Mean = 1191.6
standard deviation = 506.6
n = 43
for true average lifetime C.I. = 99%
z value for 99% in z table = 2.55
C.I. = Mean ± z*s/√n
C.I. = 1191.6 ± 2.55*506.6/√43
C.I. = 1191.6 ± 197.0
C.I. = [992.3, 1390.9]
hence the confidence interval is [992.3, 1390.9].
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As a snowstorm was moving into Shea City, the meteorologist at Weather Now predicted a 3-inch snowfall. His prediction was 40% lower than the actual amount of snowfall. What was the actual amount of snowfall in Shea City?
The actual amount of snowfall is 4.2 inches.
What is percentage error?Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage.
Expected amount: 3 inches.
Actual amount: x inches.
Percentage error = (x- 3)/3 *100%
40= (x- 3)/3 *100%
0.4*3= x-3
1.2 = x-3
x= 4.2 inches.
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please help i’m so bad at graphs
Answer:
If the mother (red line) cycles at 12 mph, it means that in half an hour (x=0.5) she cycled for 6 miles.
The daughter (blue line) walks at 1/3 of her speed, or 4 mph. It means that in half an hour she traveled 2 miles, and 4 miles after an hour.
Assuming that they start at the same point at distance zero, it's just joining the dots.
Find the area of a circle with radius 14 mm. Round your answer to the nearest tenth.
Step-by-step explanation:
1cantimeter=10mm
14mm=1.4cm
Area of circle pi r²=pi*1.4²=1.96pi
At Super Grocery, strawberries cost $3.00 for 2 pounds. What is the unit price per pound of strawberries? 6 dollars per pound 6 strawberries per dollar O 1.50 dollars per pound O 1.50 strawberries per dollar
Step-by-step explanation:
cost of 2 pounds strawberies=$3.00
unit cost per pound strawberries=$3.00/2
=$01.50 answer.
Can someone please help me with this? PLEASE help me!
Answer:
262
Step-by-step explanation:
Answer:
CGF=262
Step-by-step explanation:
it’s A
p(z) =3z - 7 when z= 3+h
Evaluate the function.
I give Brainliest!
Answer:
=3h+2
Step-by-step explanation:
p(z) =3z - 7 whenz= 3+h
p(z) =3(3+h) - 7
=9+3h-7
=3h+2
Correlation coefficients examine ______. Group of answer choices differences between two or more groups the relationship between variables how variables can be arranged into higher-order factors differences between two groups
Correlation coefficients examine the relationship between variables.
They help in determining the strength and direction of the association between two continuous variables, making it easier to understand and interpret their connection.
Correlation coefficients are statistical measures used to examine the relationship between two or more variables. The correlation coefficient quantifies the degree to which the variables are related or associated with each other.
A positive correlation coefficient indicates that when one variable increases, the other variable also tends to increase, while a negative correlation coefficient indicates that when one variable increases, the other variable tends to decrease.
A correlation coefficient of zero indicates no relationship between the variables.
Correlation coefficients are often used in research studies to examine the strength and direction of the relationship between two variables.
For example, in a study examining the relationship between exercise and weight loss, a correlation coefficient could be calculated to determine how strongly exercise and weight loss are related.
It is important to note that correlation does not imply causation, and a strong correlation between two variables does not necessarily mean that one variable causes the other.
Correlation coefficients are simply used to describe the relationship between two variables and to identify patterns in the data.
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Can somebody help me find this missing angle please.
Answer:
x = 96 degrees
Step-by-step explanation:
49 + 35 + x = 180
84 + x = 180
x = 180 - 84
x = 96 degrees
Scuba Steve dove to -20 meters to view the coral. He then ascended 12 meters before he paused to take in the sights of the beautiful fish. At what depth did he pause to see the fish? Write your answer as an integer.
Answer:
-8
Step-by-step explanation: