y is equal to the product of 3 and x divided by 9; x = -6 What is the output?
Answer:
Out put would be - 2
Step-by-step explanation:
\(y = 3x \div 9 \\ y = \frac{3x}{9} \\ y = \frac{x}{3} \\ plug \: x = - 6 \\ y = \frac{ - 6}{3} \\ \huge \purple{ \boxed{ y = - 2}}\)
Sydney is considering two jobs. One job pays $45,000 per year. The other job pays a
weekly salary of $950. Which job pays better?
Answer:
The first job pays more
Step-by-step explanation:
950 x 3 = One month pay = 2,850
2,859 x 12 = One year = 34,308 Per Year
Comparing them both
$45,000 One Year, First Job
$34,308 One Year, Second Job
Sam scored 10 points. This was double the number of points he scored in the first game. Which equation can be used to find, x, the number of points Sam scored in the first game?
a.x−2=10
b.2x = 10
c.x + 2 = 10
d.x/2=10
Answer:
b is the answer of this puestion
A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 3, 4, 5. Column 2 is labeled y with entries 1, 1.5, 2, 2.5. What is the constant of proportionality shown in the table? 0.5 1 2 1.5
Answer:
0.5 :)
Step-by-step explanation:
bc it's 0.5 I answered the question
The required, constant of proportionality between the two columns is 0.5. Option a is correct.
What is proportionality?Proportionality is the relationship between two or more sets of values, and it describes how these values are related to each other. This relationship can be either direct or inverse, depending on whether the values increase or decrease together, or one value increases while the other decreases.
Here,
To find the constant of proportionality between the two columns, we need to see how much column 2 (y) changes for a one-unit increase in column 1 (x).
From the given data, we can see that when x increases from 2 to 3, y increases from 1 to 1.5. This is an increase of 0.5 in y for a one-unit increase in x.
Similarly, when x increases from 3 to 4, y increases from 1.5 to 2. This is an increase of 0.5 in y for a one-unit increase in x.
When x increases from 4 to 5, y increases from 2 to 2.5. This is an increase of 0.5 in y for a one-unit increase in x.
Since the change in y for a one-unit increase in x is the same (0.5) in each case, we can conclude that the constant of proportionality between the two columns is 0.5.
Therefore, the answer is 0.5.
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Here is another one sorry there will be a lot
Answer:
2 7/24 gallons
(sorry if its wrong)
What is the slope of the line shown below?
Answer:
Hello there,
The correct answer to this question would be D 1/6
Step-by-step explanation:
I had took the test and it said it was correct.
Anyways hope this helps
if the answer is correct pls mark Brainliest
thank you, have a nice day
using equations : two sum of two is 15.3 times the smaller number is 5 more the larger number.. Calculate the 2 numbers (hint : Let the smaller number be x)
Answer:
Step-by-step explanation:
15.3
+1.285
Answer = 16.585
If x = a sin teta and y = b cos teta
Find the value of b^2x^2+ a^2y^2
Plssss plsss helppp
\(\\ \sf\longmapsto b^2x^2+a^2y^2\)
\(\\ \sf\longmapsto b^2(asin\Theta)^2+a^2(bcos\Theta)^2\)
\(\\ \sf\longmapsto b^2a^2sin^2\Theta+a^2b^2cos^2\Theta\)
\(\\ \sf\longmapsto a^2b^2(sin^2\Theta+cos^2Theta)\)
\(\\ \sf\longmapsto a^2+b^2(1)\)
\(\\ \sf\longmapsto a^2b^2\)
Can you find x for me?
180 - 110 = 70
70 - 30 = 40
40 / 8 = 5
x = 5
which two parts of the vehicle are most important in preventing traction loss
The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.
The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.
Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.
Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.
The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.
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The probability that a biased dice will land on a 6 is 0.3 The dice is going to be rolled 200 times. Work out an estimate for the number of times the dice will land on 6.
Answer:
67
Step-by-step explanation:
\(\frac{200}{3}\) ≈ \(67\)
An estimate for the number of times the dice will land on 6 will be 67.
What is probability?Probability is a branch of maths which deals with finding out the likelihood of the occurrence of an event.
Given that, the probability that a biased dice will land on a 6 is 0.3 The dice is going to be rolled 200 times.
200/3 ≈ 67
Hence, An estimate for the number of times the dice will land on 6 will be 67.
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Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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Point A(-3, 5) is first reflected over the line y =x, then reflected over the line with equation y = -4. What are the coordinates of the image of A after the two reflections?
The two coordinate values are simply swapped in the reflection over the line y=x: A'' = (4, 1) (4, 1)
What are the positions of A's reflections after the two?The x-coordinate and y-coordinate of a point change positions when it is reflected across the line y = x.
The x- and y-coordinates shift positions and are negated when a point is mirrored across the line y = -x.
In light of this, the reflection of the point (x, y) across the line y = x is (y, x).
The first reflection's location across the vertical line x=-3 ensures that the y-coordinate is constant.
The point (-3, 4) on the line of reflection will become the halfway point between A and A' thanks to the x-coordinate of A':
(-3, 4) = (A +A')/2
2(-3, 4) (-3, 4)
-A = A' = (-6-(-7), 8 -4) = (1, 4) (1, 4)
The two coordinate values are simply swapped in the reflection over the line y=x: A'' = (4, 1) (4, 1)
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A bee flies at 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 11 minutes, and then flies directly back to the hive at 16 feet per second. It is away from the hive for a total of 13 minutes.
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?
a) The equation that can be used to find the distance of the flowerbed from the hive is d = (7 · t + 26) / 2, where t is in seconds and d is in feet.
b) The flowerbed is 433 feet away from the hive.
How far is the flowerbed from the hive?
In accordance with the statement, the bee flies from its hive to a flowerbed, stays 11 minutes and flies back to the hive, which means that the bee takes 2 minutes on covering twice the distance between the hive and the flowerbed. Given that the bee flies at constant speed, then we can use the following formula:
2 · d = 20 · t + 13 · (2 - t)
2 · d = 7 · t + 26
d = (7 · t + 26) / 2
d = (7 · 120 + 26) / 2
d = 433 ft
a) The equation that can be used to find the distance of the flowerbed from the hive is d = (7 · t + 26) / 2, where t is in seconds and d is in feet.
b) The flowerbed is 433 feet away from the hive.
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help pleas for 12 points
Answer:
126 ft²
Step-by-step explanation:
surface area of rectangular prism: 2(LW + HW + WL)
Here Given:
Length: 9 ftWidth: 3 ftHeight:3 ftSurface Area:
2(LW + HW + WL)2(9*3 +3*3 + 9*3)2(27 +9 + 27)2(63)126height= 3 ft
width= 3 ft
length= 9 ft
to find:the surface area of the given prism.
solution:\(s.a = 2(hw + wl + hl )\)
\(s.a = 2(3 \times 9 + 3 \times 9 + 3 \times 3)\)
\(s.a = 126 \: {ft}^{2} \)
therefore, the surface area of the given prism is 126 square feets.
The graph above shows the cost and revenue curves for a natural monopoly that provides electrical power to the town of Fanaland. If unregulated, the monopolist operates to maximize its profit. (a) Identify the monopolist's profit-maximizing quantity and price. (b) Assume the town government of Fanaland regulates the monopolist's price to achieve the allocatively efficient quantity. What price would the government set in order to achieve the allocatively efficient quantity? (c) Will producing the allocatively efficient quantity be economically feasible for the monopolist? Explain. (d) Suppose instead the town government wants to regulate the monopolist to earn zero economic profit. What price would the government set to have the monopolist earn zero economic profit? (e) Based on your answer to part (d), will the deadweight loss increase, decrease, or stay the same as that of the unregulated monopolist? Explain.
(a) The monopolist's profit-maximizing quantity is 50 units, and the price is $100 per unit.
(b) To achieve the allocatively efficient quantity, the government should set the price at $60 per unit.
(c) Producing the allocatively efficient quantity may not be economically feasible for the monopolist as the price is lower than the average total cost of production.
(d) To have the monopolist earn zero economic profit, the government should set the price at $80 per unit.
(e) The deadweight loss will decrease compared to that of the unregulated monopolist.
(a) The profit-maximizing quantity is where marginal revenue equals marginal cost, which occurs at 50 units, and the corresponding price is $100 per unit. At this quantity, the monopolist's total revenue is $5000, and its total cost is $2500, resulting in a profit of $2500.
(b) To achieve allocative efficiency, the government should set the price at the point where the demand curve intersects the marginal cost curve, which is at 70 units and a price of $60 per unit. At this quantity, the price is equal to the marginal cost, and society maximizes its total surplus.
(c) Producing the allocatively efficient quantity may not be economically feasible for the monopolist because the price of $60 per unit is lower than the average total cost of production, which is $75 per unit. Thus, the monopolist will incur losses if it produces at this quantity.
(d) To regulate the monopolist to earn zero economic profit, the government should set the price at the point where the demand curve intersects the average total cost curve, which is at 80 units and a price of $80 per unit. At this quantity, the price is equal to the average total cost, and the monopolist earns zero economic profit.
(e) The deadweight loss will decrease compared to that of the unregulated monopolist because the allocatively efficient quantity is being produced. However, there may still be some deadweight loss due to the difference between the price and the average total cost.
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a trough is 10ft long and its ends have the shape of isoscles triangles that are 3ft across at the top and have a height of 1ft. if the trough is being filled with water at a rate of 12ft/min, how fast is the water level rising when the water is 6 inches deep?
The rate at which the water level is rising when the water is 6 inches deep is 4/5 ft/min .
In the question ,
it is given that ,
the length of the trough is = 10 ft ,
the width is (w) = 3 ft ,
the height of the trough is (h) = 1 ft ,
we get the relation between width and height is w = 3h ;
The formula for Volume is written as = Area of triangle * length
= 1/2 × h × w × l
= (1/2) × 3h × h × 10
So , V = 15h² .
Differentiating the given with respect to time "t" ,
we get ,
dV/dt = 30×h×dh/dt
given that , the trough is being filled with water at a rate of 12ft/min,
that means ,
dV/dt = 12
So , the rate of change of water level when the water is 6 inches deep can be calculated using the formula .
we know that 6 inches = 6/12 ft
12 = 30×(6/12)×dh/dt
dh/dt = 12/15 = 4/5 ft/min
Therefore , the water level is rising at the rate of 4/5 ft/min .
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If 3 < 1 - x, what is value for x
Answer:
x < -2
Step-by-step explanation:
Can someone help me with this pleaseee…….
The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.
We have,
To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:
Distance Formula:
If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:
d = √((x2 - x1)² + (y2 - y1)²)
Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:
AB = √((4 - (-5))² + (5 - 5)²) = 9
BC = √((2 - 4)² + (0 - 5)²) = √(29)
CD = √((-5 - 2)² + (-2 - 0)²) = √(74)
DA = √((-5 - (-5))² + (5 - (-2))²) = 7
Therefore,
The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.
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help me answer this q1
Answer: B is the answer yup B
compute the mean and variance of the following discrete probability distribution. (round your answers to 2 decimal places.). X : 2 8 10; p(x) 0.5 0.3 0.2; Mean: variance: ___
To compute the mean of a discrete probability distribution, we use the formula:
mean = Σ(x * p(x))
where Σ represents the sum over all possible values of x.
Using the values given in the problem, we have:
mean = (2 * 0.5) + (8 * 0.3) + (10 * 0.2)
= 1 + 2.4 + 2
= 5.4
Therefore, the mean of the distribution is 5.4.
To compute the variance of a discrete probability distribution, we use the formula:
variance = Σ[(x - mean)^2 * p(x)]
Again, using the values given in the problem, we have:
variance = [(2 - 5.4)^2 * 0.5] + [(8 - 5.4)^2 * 0.3] + [(10 - 5.4)^2 * 0.2]
= [(-3.4)^2 * 0.5] + [(2.6)^2 * 0.3] + [(4.6)^2 * 0.2]
= 5.8 + 2.808 + 4.232
= 12.84
Therefore, the variance of the distribution is 12.84 (rounded to 2 decimal places).
To compute the mean and variance of the given discrete probability distribution, we will use the provided values of X and their corresponding probabilities, p(x).
Mean (μ) = Σ[x * p(x)]
Mean = (2 * 0.5) + (8 * 0.3) + (10 * 0.2)
Mean = 1 + 2.4 + 2
Mean = 5.4
Variance (σ²) = Σ[(x - μ)² * p(x)]
Variance = [(2 - 5.4)² * 0.5] + [(8 - 5.4)² * 0.3] + [(10 - 5.4)² * 0.2]
Variance = (11.56 * 0.5) + (6.76 * 0.3) + (21.16 * 0.2)
Variance = 5.78 + 2.028 + 4.232
Variance = 12.04
So, the mean of the discrete probability distribution is 5.4 and the variance is 12.04 (rounded to two decimal places).
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fernando competed in an 80 mile bike race. after 0.5 hour, he had ridden 9 miles. after 1 hour of riding, fernando had biked 18 miles. assuming he was traveling at a constant speed, how far will fernando have traveled after 3.5 hours?
Fernando will have traveled 63 miles after 3.5 hours.
To find the distance Fernando will have traveled after 3.5 hours, we can determine his average speed and then calculate the total distance covered.
We are given that after 0.5 hours, Fernando had ridden 9 miles, and after 1 hour, he had ridden 18 miles. By comparing these two data points, we can see that Fernando is traveling at a constant speed of 18 miles per hour.
To calculate the distance traveled after 3.5 hours, we can multiply the speed (18 miles per hour) by the time (3.5 hours):Distance = Speed × Time = 18 miles/hour × 3.5 hours = 63 miles.
Therefore, Fernando will have traveled 63 miles after 3.5 hours.
It is important to note that this calculation assumes a constant speed throughout the entire race. If the speed varied during the race, the result may be different. However, based on the given information of constant speed, we can conclude that Fernando will have traveled 63 miles after 3.5 hours.
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what is the solution of
3b² = 27
c² + 9 = 9
Answer:
Step-by-step explanation:whole divide it
3b^=27
b^=27/3
b^=9
take squre roote
b=3
c^
Brainlest if u get it right
Answer:
A. would be best I'm pretty sure
Step-by-step explanation:
Answer: A.
Step-by-step explanation: With this option, everyone in that middle school is involved, and not just eighth-graders, math club students, or detention students. Option A is a unbiased sample, therefore, that's your answer.
Hope this helps! :)
a recent study of 600 internet users in europe found that 335 of internet users were women. what is the 98onfidence interval estimate for the true proportion of women in europe who use the internet?
We can estimate with 98% confidence that the true proportion of women in Europe who use the internet lies within the range of 0.513 to 0.603.
Based on the given study of 600 internet users in Europe, where 335 of them were women, we can estimate the true proportion of women in Europe who use the internet using a confidence interval.
To calculate the confidence interval for the true proportion of women, we can use the formula:
CI = \($\hat{p}$\) ± z * √(\($\hat{p}$\)(1-\($\hat{p}$\)) / n)
where:
\($\hat{p}$\) is the sample proportion of women (335/600)
z is the z-score corresponding to the desired level of confidence (98% corresponds to a z-score of approximately 2.33)
n is the sample size (600)
Plugging in the values, we can calculate the confidence interval:
\($\hat{p}$\) = 335/600 = 0.5583
z = 2.33
n = 600
CI = 0.5583 ± 2.33 * √((0.5583 * (1-0.5583)) / 600)
Calculating the expression inside the square root, we get:
√((0.5583 * (1-0.5583)) / 600) ≈ 0.0221
Therefore, the confidence interval estimate for the true proportion of women in Europe who use the internet is:
CI = 0.5583 ± 2.33 * 0.0221
This can be further simplified as:
CI = (0.513, 0.603)
Thus, we can estimate with 98% confidence that the true proportion of women in Europe who use the internet lies within the range of 0.513 to 0.603.
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What are the next few terms after the following sequence? 1, 1/2, 1/3, 1/4
Answer:
1/5, 1/6, 1/7, 1/8,1/9, 1/10,1/11,1/12
HELP ME PLEASEE GEOMETRY!!! WILL GIVE BRAINLIEST AND 5 STARS!!
What is the value of x in the drawn figure?
A. 45
B. 3
C. 27
D. 19.8
Answer:
A 45
Step-by-step explanation:
45 is the answer and hope this helps!
Answer:
x = 3
Step-by-step explanation:
2x = 5x - 9
add 9 to each side
2x + 9 = 5x
subtract 3x from each side
9 = 3x
divide each side by 3
3 = x
x = 3
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
can you guys do 2 and 4 for me solve for x
Answer:
2) DE = 25
4) LN = 27
Solve for x:
\(x=17\)
Step-by-step explanation:
2) \(41-16=25\)
4) \(x+10 = 3x-24; x=17\); \((17)+1=18; 18+9 = LN; LN=27\)
Tip:
DE + EF = DF
LM + MN = LN
Triangle ABC is translated by the rule (x, y) → (x - 1, y + 6) then reflected across the y- axis. What are the coordinates of A”,B”, and C”?
The coordinates of A'', B'' and C'' are (-1, 4), (-4, 3) and (-1, 2) respectively.
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
Given triangle has coordinates,
A(2, -2), B(5, -3) and C(2, -4).
First the triangle is translated by the rule (x, y) → (x - 1, y + 6)
A(2, -2) becomes A'(2 - 1, -2 + 6) = A'(1, 4).
B(5, -3) becomes B'(5 - 1, -3 + 6) = B'(4, 3)
C(2, -4) becomes C'(2 - 1, -4 + 6) = C'(1, 2)
Then the translated triangle is reflected across the Y axis.
When reflected a point (x, y) across the Y axis, y coordinate remains same and x coordinate flips.
A'(1, 4) becomes A''(-1, 4)
B'(4, 3) becomes B''(-4, 3)
C'(1, 2) becomes C''(-1, 2)
Hence the vertices of the triangle after undergoes translation and reflection becomes A''(-1, 4), B''(-4, 3) and C''(-1, 2).
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