Answer:
(x + 7, y + 8)
Step-by-step explanation:
The table below represents a linear function for the cost of a gym membership based on the number of months of membership.
What is the slope and y-intercept of the linear function.
The equation of line is y = 30x + 75 , where the slope is m = 30 and the y intercept is 75
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 1 , 105 )
Let the second point be Q ( 3 , 165 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 165 - 105 ) / ( 3 - 1 )
Slope m = ( 60 / 2 )
Slope m = 30
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 105 = 30 ( x - 1 )
On simplifying the equation , we get
y - 105 = 30x - 30
Adding 105 on both sides of the equation , we get
y = 30x + 75
Hence , the equation of line is y = 30x + 75
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Delores wants to put in a fence for her dogs to run around in the yard.. The
rectangular fence has a length that is triple the width. The width is x - 2. If
the perimeter of the fence is 200 ft2, what is the length?
Answer:
um.......
Step-by-step explanation:
The lenght of rectangular fence is 75 ft.
What is Perimeter?The length of total outer border of a geometrical figure is called Perimeter of that figure.
If the length of a rectangle is l and width is w then the perimeter P is given by,
P = 2(l + w)
Here in the given problem it is given that the width of the rectangle is = x - 2
and the lenght is triple of the width.
Then the length = 3(x - 2)
So the Perimeter is = 2 [3(x-2) + (x-2)] = 2[4(x-2)] = 8(x-2)
and it is also given that tbe Perimeter of the fence is 200 ft.
according to condition,
8(x-2) = 200
x - 2 = 800/2
x - 2 = 25
x = 25 + 2 = 27
So the lenght = 3(x-2) = 3(27-2) = 3*25 = 75 ft.
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Which strategy would you use to find 2 + 8 explain how you decided
Answer:
The anwser is 10
Step-by-step explanation:
Its not very hard just hold up 8 fingers then add 2 more
im and very sorry if i didn't understand the question its my first time using this app
read the numbers and decide what the next number should be. 15 14 13 12 11 10 9
Answer:
8
Step-by-step explanation:
the numbers decrease by 1
how many ways can rudy choose 5 pizza toppings from a menu of 20 toppings if each topping can only be chosen once?
If cost price =x
If selling price =242
If profit =z
If profit percent =10%
Find the value of z and x
Answer:
x= 217,6z=24,2Step-by-step explanation:
Which of the numbers listed below are solutions to the equation? Check all
that apply.
|x| = 100
A. -100
B. 10
C. 100
D. -10
E. 25
F. None of these
Answer: A and C
Step-by-step explanation:
Abs. val is distance from 0, and 100 and -100 are both the same distance from 0, so x=100 and x=-100.
(X-7)(3x+2) need answer!!
Answer: the answer is
=3\(x^{2}\)−19x−14
Step-by-step explanation: (x−7)(3x+2)
=(x+−7)(3x+2)
=(x)(3x)+(x)(2)+(−7)(3x)+(−7)(2)
=3x2+2x−21x−14
=3x2−19x−14
Find the volume of the solid formed by rotating the region enclosed by y=e
5x
+4,y=0,x=0, and x=1
To find the volume of the solid formed by rotating the region enclosed by the curves y = \(e^(5x\)) + 4, y = 0, x = 0, and x = 1, we can use the method of cylindrical shells. By integrating the expression 2πx\((e^(5x)\) + 4) over the interval [0, 1], we can calculate the volume of the solid.
To find the volume of the solid formed by rotating the region enclosed by the curves y = \(e^(5x)\) + 4, y = 0, x = 0, and x = 1, we can use the method of cylindrical shells.
The volume of each cylindrical shell is given by 2πrhΔx, where r is the radius of the shell, h is the height of the shell, and Δx is the thickness of the shell.
The height of each shell is the difference between the upper and lower curves, which is y = \(e^(5x)\)+ 4 - 0 = e^(5x) + 4.
The radius of each shell is the x-coordinate of the shell, which is x.
Integrating the volume expression over the interval [0, 1], we get:
V = ∫[0,1] 2πx(\(e^(5x\)) + 4) dx.
Evaluating this integral will give us the volume of the solid formed by rotating the region.
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Write an explicit formula for an, the n
th
term of the sequence 4, 10, 16, ....
Answer: an =
Submit Answer
Answer:
\(t_{n}\)=6n-2
Step-by-step explanation:
20 Points
Can anyone help me with these Geometry questions? Will give Brainliest.
Answer:
give brain list first
Step-by-step explanation:
Ayudenme porfavor
Factoriza
1. 2−10+21
2. 2+5−24
3. 2−−30
4. 52−10−75
5. 23+102−48
6. 33−392−90
Answer:
1. 13
2. -17
3. -28
4. -33
5. 77
6. -449
Step-by-step explanation:
Mark as Brainllest
For a recent art project, a teacher purchased 94 pieces of red construction paper and 80 What is the exact ratio of red construction paper to blue construction paper?
In the recent art project, the teacher purchased 94 pieces of red construction paper and 80 pieces of blue construction paper. To determine the exact ratio of red construction paper to blue construction paper, we divide the number of red construction paper pieces by the number of blue construction paper pieces.
The ratio of red construction paper to blue construction paper can be expressed as:94:80
However, we can simplify this ratio by dividing both numbers by their greatest common divisor. In this case, the greatest common divisor of 94 and 80 is 2.
Dividing 94 by 2 gives us 47, and dividing 80 by 2 gives us 40.
Therefore, the exact simplified ratio of red construction paper to blue construction paper is: 47:40
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The ______________ highlights subdivisions of the company, shows lines of authority, provides information about different management levels, and identifies the different types of work performed
The organizational chart highlights subdivisions of the company, shows lines of authority, provides information about different management levels, and identifies the different types of work performed.
It serves as a visual representation of the company's structure and hierarchy. The main purpose of an organizational chart is to provide a clear understanding of how the company is organized and how different departments and positions relate to one another.
It illustrates the various divisions, departments, and teams within the organization, showcasing the reporting relationships and lines of authority from top-level executives to front-line employees.
By displaying the management levels, the organizational chart helps employees and stakeholders understand the chain of command and who they report to. It helps clarify roles and responsibilities, facilitating efficient decision-making and coordination within the company.
The organizational chart identifies different types of work performed by showcasing different departments or units. This allows for a better understanding of the company's functional areas and the specific responsibilities and expertise of each department.
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A pair of jeans was 30% off the original price. The sale resulted in a $24 discount. What is the original price in a percent?
Answer:
16%
Step-by-step explanation:
$16.8
Who's ur favorite song artist?
A small coffee shop has a single barista. Because the shop issmall, there are no tables or chairs. Consequently, customers wait in a single line to order and receive their coffee and leave the shop as soon as their order is received. Customers arrive at the shop at the rate of 20 per hour. It is estimated that the baristaneeds, on average, 90 seconds (exponentially distributed) to serve each customer.
a. The average server utilization is ?????? (Enter your response rounded to two decimal places.)
b. The average line length in the coffee shop is ???????customer(s). (Enter your response rounded to two decimalplaces.
c.. The average time spent in line is ????? minute(s). (Enter your response rounded to one decimal place.)
d.The average number of customers in the coffee shop is ??????(Enter your response rounded to one decimal place.)
e. The average time spent by customers in the coffee shop(includes waiting time and service time) is ?????
a. the server utilization can be calculated as (2/3)/(1/3) = 2/3 = 0.67, or 67% when expressed as a percentage.
b.) the average line length is (1/3) * 3 = 1 customer.
c.)The average time spent in line is 3 minutes.
d.)The average number of customers in the coffee shop is 10 customers.
e.)The average time spent by customers in the coffee shop (including waiting time and service time) is 6 minutes.
a. The average server utilization is 75%.
To calculate the average server utilization, we need to determine the proportion of time the server is busy serving customers. In this case, the average service time is given as 90 seconds per customer. Since there are 60 minutes in an hour, the server can serve (60/90) = 2/3 customers per minute.
The arrival rate of customers is 20 per hour. Converting this to minutes, we have an arrival rate of 20/60 = 1/3 customers per minute.
Therefore, the server utilization can be calculated as (2/3)/(1/3) = 2/3 = 0.67, or 67% when expressed as a percentage.
b. The average line length in the coffee shop is 10 customers.
To calculate the average line length, we can use Little's Law, which states that the average number of customers in a system is equal to the arrival rate multiplied by the average time spent in the system.
The arrival rate is given as 20 customers per hour, which can be converted to 1/3 customers per minute.
The average time spent in the system is the sum of the average waiting time and the average service time. The average service time is given as 90 seconds, and the average waiting time can be calculated using the formula 1/(μ - λ), where μ is the service rate (2/3 customers per minute) and λ is the arrival rate (1/3 customers per minute). Therefore, the average waiting time is 1/(2/3 - 1/3) = 3 minutes.
Using Little's Law, the average line length is (1/3) * 3 = 1 customer.
c. The average time spent in line is 3 minutes.
As calculated in part b, the average waiting time in the line is 3 minutes. This represents the average time customers spend waiting in line before being served.
d. The average number of customers in the coffee shop is 10 customers.
Using Little's Law, as explained in part b, the average number of customers in the system is equal to the arrival rate multiplied by the average time spent in the system. Therefore, the average number of customers in the coffee shop is (1/3) * 3 = 1 customer.
e. The average time spent by customers in the coffee shop (including waiting time and service time) is 6 minutes.
To calculate the average time spent by customers in the coffee shop, we add the average waiting time (3 minutes) and the average service time (90 seconds, which is 1.5 minutes) together. Therefore, the average time spent by customers in the coffee shop is 3 + 1.5 = 4.5 minutes.
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What is 47% of 900?
Enter your answer in the box.
Answer:
To find 47% of 900, you can multiply 900 by 0.47, which represents 47% as a decimal:
47% = 47/100 = 0.47
So, 47% of 900 is:
0.47 x 900 = 423
Therefore, 47% of 900 is 423.
Convert 47% to a decimal
= 47% = 47/100 = 0.47
47%= 0.47 × 900
=423
What are the square numbers between 73 and 186
Answer:
8^2 64 =8 X 8
9^2 81 =9 X 9
10^2 100 =10 X 10
11^2 121 =11 X 11
12^2 144 =12 X 12
13^2 169 =13 X 13
Hope it helps :))
A panther runs at the speed of 80 km/h. What distance will it cover in 90 min?
Answer:
120 km
distance = speed * time
90 minutes can be converted to 1.5 hours
speed given 80 km/h and time given 1.5 hours
so distance = 80 * 1.5 = 120 km
Answer:
The panther will run 120 km in 90 mins
Step-by-step explanation:
An hour is 60 mins and you know in 1 hour the panther can run 80km
all you need to do is figure out how many miles an xtra 30 mins will be
60 minutes divided by 2 = 30 minutes and 80 km divided by 2 = 40km
Therefore 30 minutes = 40km
just add this to the original statement and you're good
60 mins + 30 mins = 90 mins
80km + 40km = 120km
The panther will run 120km in 90 mins
The middle of {1, 2, 3, 4, 5} is 3. The middle of {1, 2, 3, 4} is 2 and 3. Select the true statements (Select ALL that are true)
A. An even number of data values will always have one middle number.
B. An odd number of data values will always have one middle value
C. An odd number of data values will always have two middle numbers.
D. An even number of data values will always have two middle numbers.
B. An odd number of data values will always have one middle value is true.
D. An even number of data values will always have two middle numbers is also true.
What happens in odd and even set of data?In an odd set of data, there will always be one exact middle number. But in an even set of data, there will be two middle numbers, and they will be the two numbers closest to the center.
So if the middle of {1, 2, 3, 4, 5} is 3 and the middle of {1, 2, 3, 4} is 2 and 3, the correct statements will be;
an odd number of data values will always have one middle value is true.an even number of data values will always have two middle numbers is also true.Learn more about odd and even data here: https://brainly.com/question/2766504
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Simplify if possible. 14√x + 3 √y
The expression 14√x + 3√y is simplified.
To simplify the expression, we need to determine if there are any like terms. In this case, we have two terms: 14√x and 3√y.
Although they have different radical parts (x and y), they can still be considered like terms because they both involve square roots.
To combine these like terms, we add their coefficients (the numbers outside the square roots) while keeping the same radical part. Therefore, the simplified form of the expression is:
14√x + 3√y
No further simplification is possible because there are no other like terms in the expression.
So, in summary, the expression: 14√x + 3√y is simplified and cannot be further simplified as there are no other like terms to combine.
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Find the area of the region described. The region bounded by y = 4(x + 1), y = 5(x + 1), and x = 4 The area of the region is . (Type an exact answer.)
The area of the region bounded by the curves y = 4(x + 1), y = 5(x + 1), and x = 4 is 25/2.
To find the area of the region described, we need to determine the points where the given curves intersect and then calculate the area between these curves.
The equations of the curves are:
y = 4(x + 1)
y = 5(x + 1)
x = 4
First, we find the intersection points of the curves by setting the equations equal to each other:
4(x + 1) = 5(x + 1)
4x + 4 = 5x + 5
x = -1
So the intersection point is (-1, 4) and (-1, 5).
Next, we calculate the area between the curves. Since the region is bounded by y = 4(x + 1) and y = 5(x + 1), we need to find the definite integral of the difference between these curves from x = -1 to x = 4.
Area = ∫[-1 to 4] [5(x + 1) - 4(x + 1)] dx
= ∫[-1 to 4] (x + 1) dx
Integrating, we have:
Area = [1/2 * x^2 + x] evaluated from x = -1 to x = 4
= [1/2 * (4^2) + 4] - [1/2 * (-1^2) + (-1)]
= [8 + 4] - [1/2 + (-1)]
= 12 - 1/2 + 1
= 24/2 - 1/2 + 2/2
= 25/2
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determine whether or not the given procedure results in a binomial distribution. if not, identify which condition is not met. rolling a six-sided die 74 times and recording the number of odd numbers rolled.
The given procedure does result in a binomial distribution. This is because it meets the necessary conditions for a binomial distribution:
1. Fixed number of trials: There are 74 trials (rolling the die 74 times).
2. Two outcomes: The outcome of each roll is either odd (success) or even (failure).
3. Independent trials: The outcome of one roll does not affect the outcome of any other roll.
4. Constant probability: The probability of rolling an odd number remains the same for each roll (1/2, since there are 3 odd numbers out of 6 sides).'
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Which equation has infinitely many solutions?
Select one:
2x + 1= 5x - 3x -1
2x + 1= 5x + 3x -1
2x+ 1= 5x +2x -1
2x +1= 3x - x +1
Don’t answer unless you know
the last one
Step-by-step explanation:
if you start solving and end up with all zero it's infinetly many
Trigonometry Problem
Find the length of the missing side.
Answer:
x= 141.8179
Step-by-step explanation:
side a is 38, side b is 141.8179, side c is 146.8207
angle a is 15 angle b is 90 ancle c is 75
geometry is so hard omg thanks for all y’all helping me fr
Answer:
The shortest length of the 3rd side of the triangle is 11 in - 7 in = 4 in.
The longest length of the 3rd side of the triangle is 11 in + 7 in = 18 in.
The 3rd side of the triangle can have length of between 4 in and 18 in.
Hope this answers your question!
What’s the equation?
Answer:
(e = 2u - 220) I need to write at least 20 characters to post this only read what is in the parenthesis
please help!!!!!! ill give you brainliest!
Answer:
The team made x<53 points total.
Step-by-step explanation:
1/4+1/10 is 7/20 or 0.35 in decimal form. If they both together scored 21 points then you can add another 7/20 (21 points) and have 14/20 (42 points). You have 6/20 more left. If you can solve what 1/20 could be then you would find the answer. Does this helps?
Answer:
The total number of points scored is 60.
Step-by-step explanation:
We can multiply a number to both fractions to get them to share a common denominator so we can add them easily. 20 is a multiple of both 4 and 5, so let us multiply both denominators so that they each have a denominator of 20.
1/10 * 2 = 2/20
1/4 * 5 = 5/20
Now we can add those fractions together because we want to see the total amount of points the team scored.
2/20 + 5/20 = 7/20
If 7/20 is 21 points, we can find out how much points takes up 1/20 of the fraction. We do this by dividing 21 by 7.
21 / 7 = 3
So 1/20 = 3
Now we multiply 3 by 20, which is 60. So therefore the total amount of points scored by the team is 60. Brian scored 1/10 of 60, which is 6. So he scored 6 points. Joe scored 1/4 of 60, which is 15. So Joe scored 15 points. Hope this helps.
a car uses 8 gallons of gas to travel 290 miles. how much gasoline will the car use to travel 490 miles
Answer:
11.03
Step-by-step explanation:
To find this answer, you would need to find how many miles 1 gallon of gas will take them. To find this, you would do 290÷8=36.25. So with this information, you will be able to find out how much gas it would take to travel 400 miles. You would do 400÷36.25=11.03. 11.03 would be how many gallons of gas is used to travel 400 miles.