Answer:
0=4 No solution
Step-by-step explanation:
you combine like terms like n, and n= 2n+8
then subtract 4 from both sides= 2n=2n+4
4. Identify each of the following polygons:
Answer:
Step-by-step explanation:
1. Square
2. Rhombus
3. Trapezoid
4. Diamond
5. Octogon
6. Triangle
7. Pentagon
8. Hexagon
9. Triangle?
suppose that the 13th term of an arithmetic sequence is 46 and the fourth term is 100. find the expression for the general term.
To solve this problem, we need to use the formula for the nth term of an arithmetic sequence:
an = a1 + (n-1)d where a1 is the first term, d is the common difference, and n is the term number. This means that the first term is 118, the common difference is -6, and each subsequent term is found by subtracting 6 from the previous term.
We know that the 4th term is 100, so we can substitute this into the formula:
a4 = a1 + (4-1)d
100 = a1 + 3d
Similarly, we know that the 13th term is 46:
a13 = a1 + (13-1)d
46 = a1 + 12d
Now we have two equations with two unknowns (a1 and d), which we can solve by elimination or substitution. I will use elimination:
100 = a1 + 3d
-46 = -a1 - 12d
------
54 = -9d
d = -6
Now we can substitute d back into one of the equations to solve for a1:
100 = a1 + 3(-6)
a1 = 118
Therefore, the expression for the general term of the arithmetic sequence is:
an = 118 - 6(n-1) or an = 124 - 6n
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You have 24 coins valued at $3.00. Some of the coins are dimes and some are quarters. Find the number of each coin that you have.
Answer:
10 Quarters and 5 dimes
Step-by-step explanation:
10 Quarters = $2.50
5 dime = $0.50
Answer:
20 dimes and 4 quarters
Step-by-step explanation:
So, a dime is 10 cents and a quarter is 25
So, let's say you have x dimes and y quarters
X+Y=24 (total amount of coins)
Also,
10x+25y= 300 (cents)
I just put the 3 dollars into cents
Now, you have a system of equations and we should solve it:
X+y=24 ----x=24-y
10x+25y=300
So substitute x in the 2nd equation
10(24-y)+25y=300
240-10y+25y=300
240+15y=300
15y=60
y=4
Now that you know the amount of quarters, you can just say that you will have 20 dimes since 24-4=20
So, 4 quarters and 20 dimes
Check:
20 dimes=2 dollars
4 quarters= 1 dollar
correct
pls help.... Natalie plans to run 5 miles every week for 3 weeks. The first day of the first week she ran 1 1/5 miles. How mant miles does she need to run the rest of the first week?
Answer:
3 4/5
Step-by-step explanation:
If Natalie runs 5 miles each week and she already ran 1 1/5 then she will need to run 3 4/5.
5 - 1 1/5 = 3 4/5
f(x) = -4x^2 + 5x
Find f(6)
Answer:
-114
Step-by-step explanation:
f(6) it means f(x=6) so substituting x=6 in your equation gives us
f(6)= -4*(6)²+5*(6)
= -4*36+30
= -144+30
= -114
complete the equation to show how many fifths are equavalent to 6/10
Three-fifths is equivalent to 6/10.
We must build up the equation and solve for the unknown value to determine how many fifths are equal to 6/10.
Let's use "x" to stand in for the unknown value. One way to set out the equation is as follows:
x/5 = 6/10
We can multiply both sides of the equation by 10 to remove the denominators:
10 * (x/5) = 10 * (6/10)
Simplifying:
2x = 6
adding two and dividing both sides of the equation:
2x/2 = 6/2
x = 3
3 fifths are therefore comparable to 6/10.
Thus, There are three-fifths to make 6/10.
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The Sahas were reading a best-selling novel as a family. After the first week, they checked in with each other to see how much of the book each had read
The father had read the most, having finished half the book. The mother had read a third of it, while the daughter was still in the first chapter. The son had only read a few pages.
They discussed their progress and made an agreement to read a certain number of chapters each week to ensure they finished the book at the same time.
Therefore, the father had read the majority of the book, having completed it. While the daughter was still in the first chapter, the mother had already read about a third of it. Only a few pages have been read by the son.
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Sarah would like to build a garden this year. Sarah measured out the outside of her proposed garden and would like to know how many square feet of space she will have to use. Calculate the area of her garden from the picture below.
please show your work/how you got your answer :)
Answer: 439,824 ft
Step-by-step explanation: the | means it is equal to so there is one on 7ft so the one without a number will be 7ft
Area is LxW
so 7x6x8x11x17x7=439,824
not sure if it’s correct tho but i guess I helped
Name and describe an example of a decision problem known to be in NP-Complete. [2] 2. State what two criteria must be met for it to be in NP-Complete. [2] 3. Outline a solution to the corresponding optimization problem. [4]
Various heuristics and approximation algorithms are used to find near-optimal solutions efficiently in practice.
One example of a decision problem known to be NP-Complete is the "Traveling Salesman Problem" (TSP).
The Traveling Salesman Problem (TSP):
The TSP is a classic problem in computer science and operations research. It involves a salesman who needs to visit a set of cities, each exactly once, and return to the starting city while minimizing the total distance traveled.
Criteria for NP-Completeness:
To be classified as NP-Complete, a decision problem must meet the following two criteria:
a. It must belong to the class of problems known as NP (nondeterministic polynomial time), meaning that a solution can be verified in polynomial time.
b. It must be at least as hard as any other problem in the class NP. In other words, if a polynomial-time algorithm is found for one NP-Complete problem, it would imply polynomial-time solutions for all other NP problems.
Solution to the Optimization Problem:
The corresponding optimization problem for the TSP is to find the shortest possible route that visits all cities exactly once and returns to the starting city. The outline of a solution to this problem is as follows:
a. Enumerate all possible permutations of the cities.
b. For each permutation, calculate the total distance traveled along the route.
c. Keep track of the permutation with the minimum total distance.
d. Output the permutation with the minimum distance as the optimal solution.
However, it's important to note that the TSP is an NP-Complete problem, which means that finding an optimal solution for large problem instances becomes computationally infeasible.
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3 A sphere is increasing in volume at the rate of 20 in3/s. At what rate is the radius of the sphere increasing when the radius is 4 in.? A.0.982 inls B.0.424 inls C.0.995 inls D.0.025 inls
The rate of increase of the radius is 0.025 in/sec.
What is a sphere?A three-dimensional object with a sphere-like shape. A sphere has no vertices or edges, unlike other three-dimensional shapes. The distances between each point on its surface and its center are equal.
In other words, the distance between any two points on the surface and the sphere's center is equal. The formula for the Volume of the sphere is given by
Volume of sphere = (4/3)πr³
Where, r = radius of the sphere
Here we have
A sphere is increasing in volume at the rate of 20 in³/s.
Here we need to find at what rate the radius of the sphere increases when the radius is 4 in.
Let v = Volume of the sphere at time t
=> Change in Volume = dv/dt = 20
r = Radius of the sphere at time t
As we know, the Volume of the sphere, v = (4/3)πr³
Differentiate the Volume of the sphere with respect to t
=> dv/dt = (4/3)3πr³⁻¹)(dr/dt)
=> dv/dt = 4πr² (dr/dt)
=> 20 = 4πr² (dr/dt)
=> 5 = πr² (dr/dt)
Given that radius, r = 4
=> 5 = π4² (dr/dt)
=> 5 = (22/7) 64 (dr/dt)
=> 5 = 3.14(64) (dr/dt)
=> dr/dt = (5/3.14 × 64)
=> dr/dt = 0.024880573
=> dr/dt = 0.025
Therefore,
The rate of increase of the radius is 0.025 in/sec.
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Hi I need help On his Multiple Choice questions Try)- and not get it wrong or I cant Complete My Maths Work. The Question itself is on the Image attached Below: thanks!
Answer:
a) Option A is correct.
b) Option B is correct.
Step-by-step explanation:
\(a) \: \: 5 \times a \\ = 5a\)
\(b) \: \: b \times b \\ = {b}^{2} \)
Hope it is helpful.....A total of 150 students voted for the class president.Bianca got 43 votes and Carlos recieved 38% of the votes. Which student recieved more votes how many more? Please help me This is due tomorrow
Answer:
Carlos Got more votes.
Step-by-step explanation:
If you do the math and find out what 38% of 150 is then you will have your answer
solve for all solutions: sin5x=-1/2
Answer:
-1/10
Step-by-step explanation:
Let's solve your equation step-by-step.
5x=−1/2
Step 1: Simplify both sides of the equation.
5x= -1/2
Step 2: Divide both sides by 5.
5x/5 = -1/2/5
x=-1/10
the purchasing agent at a local hardware store noticed a sale on hammers. the original price of the hammers was $12 each. with the discount, he could get each hammer for $9.50. what percentage was the discount (rounded to nearest whole percentage)?
The percentage discount on the hammers is about 21%.
The discount is the difference between the original price and the discounted price.
Discount = $12 - $9.50
subtract the numbers
= $2.50
To find the percentage discount, we divide the discount by the original price and multiply by 100
Percentage discount = ( Discount / Original price ) x 100
Substitute the values in the equation and find the percentage discount
Percentage discount = ( $2.50 / $12 ) x 100
Do the arithmetic operation
Percentage discount = 20.83%
Rounding to the nearest whole percentage, the discount is approximately equal to 21%.
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find the volume rotated about x axis bounded by y = cosx and between 0 and pi/2
To find the volume of the solid generated by rotating the region bounded by the curves y = cos(x) and the x-axis on the interval [0, π/2] about the x-axis, we can use the method of cylindrical shells.
The volume V is given by the integral:
V = ∫[a,b] 2πx f(x) dx
In this case, the interval [a,b] is [0, π/2], and the function f(x) is cos(x).
V = ∫[0,π/2] 2πx cos(x) dx
To evaluate this integral, we can use integration by parts. Let's consider u = x and dv = 2π cos(x) dx. Then du = dx and v = 2π sin(x).
Using the formula for integration by parts, the integral becomes:
V = [2πx sin(x)]|[0,π/2] - ∫[0,π/2] 2π sin(x) dx
Evaluating the definite integral and plugging in the limits, we have:
V = [2π(π/2) sin(π/2)] - [-2π(0) sin(0)] - ∫[0,π/2] 2π sin(x) dx
V = π^2
Therefore, the volume of the solid is π^2 cubic units.
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A square based tent house has length of base 20m and it is in the form of cuboid upto the height of 10m and then a pyramid with equal base. The tent house contains4800m3 air. Find the total cost of canvas required to make the tent at the rate of Rs 15 per square meter.A square based tent house has length of base 20m and it is in the form of cuboid upto the height of 10m and then a pyramid with equal base. The tent house contains4800m3 air. Find the total cost of canvas required to make the tent at the rate of Rs 15 per square meter. helpp
The total cost of canvas required to make the tent at the rate of Rs. 15 per square meter is; Rs. 24,997
What is the area of a composite shape?We are told that the bottom part of the tent house is a square cuboid up to a height of 10 m.
Thereafter, it is a pyramid.
Now, formula for volume of a cuboid is;
V = lwh
V = 20 * 20 * 10
V = 4000 m³
Formula for volume of a pyramid is;
V = lwh/3
V = (20 * 20 * h)/3
V = 400h/3
Total volume is 4800 of the entire tent house. Thus;
4000 + (400h/3) = 4800
400h/3 = 800
h = (800 * 3)/400
h = 6 m
Now, from online calculation, the surface area of the pyramid excluding the base is;
TSA_p = 466.48 m²
Total surface area of cuboid excluding the top is;
S.A = 1200 m²
Total surface area of canvas = 1200 + 466.48 = 1666.48 m²
Since cost per sq.m is Rs. 15 per m², then;
Total cost = 15 * 1666.48
Total Cost = Rs. 24,997
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Please answer each part in almost 500 words.
a. Suppose Jet Airways wants to ascertain the image it has in the minds of its patrons. Construct a seven-item and semantic differential scale to measure the perceived image of the airlines. Make sure that the seven under each format correspond to the same seven dimensions.
b) Find a technical and business report from your library or on the internet and examine the contents of the reports against what has been discussed in the chapter. What deviations did you find from the stated structure? What you think could have been the reason for this?
a) Part A: The perceived image of Jet Airways
Jet Airways is one of the well-known airlines in India. It is headquartered in Mumbai and operates both domestic and international flights. The perceived image of Jet Airways in the minds of its customers is important to the success of the airline. Perceived image refers to what the customers think about the airline, and this is important for customer loyalty and retention.
Constructing a seven-item and semantic differential scale to measure the perceived image of Jet Airways would be as follows:
1. Reliability: how reliable is Jet Airways on a scale of 1 to 7 (with 1 being extremely unreliable and 7 being extremely reliable)
2. Responsiveness: how responsive is Jet Airways to the needs of its customers on a scale of 1 to 7 (with 1 being extremely unresponsive and 7 being extremely responsive)
3. Empathy: how empathetic is Jet Airways to the concerns of its customers on a scale of 1 to 7 (with 1 being extremely unempathetic and 7 being extremely empathetic)
4. Assurance: how assured do you feel when you travel with Jet Airways on a scale of 1 to 7 (with 1 being extremely unassured and 7 being extremely assured)
5. Tangibles: how do you rate the physical appearance of Jet Airways on a scale of 1 to 7 (with 1 being extremely poor and 7 being extremely good)
6. Price: how do you rate the price of Jet Airways on a scale of 1 to 7 (with 1 being extremely expensive and 7 being extremely affordable)
7. Convenience: how convenient is it to travel with Jet Airways on a scale of 1 to 7 (with 1 being extremely inconvenient and 7 being extremely convenient)
The above semantic differential scale helps in measuring the perceived image of Jet Airways. The seven-item and semantic differential scale ensure that the seven under each format correspond to the same seven dimensions.
By answering each question, the customers can rate Jet Airways on various factors, and the airline can use this feedback to improve its service and overall image.
b) Part B:
Examination of a technical and business report
The structure of a technical and business report includes a title page, abstract, table of contents, introduction, main body, conclusion, and references. An examination of a technical and business report from the internet reveals some deviations from the stated structure. One of the significant deviations is the absence of the abstract section. The abstract provides a brief summary of the report, including the purpose, methodology, and findings. The report from the internet did not have an abstract section, and this deviation could be due to the report being a short summary of a more extensive study.
The report from the internet did not have a separate conclusion section. The conclusion is important as it summarizes the findings of the study and provides recommendations for further research. The report from the internet integrated the findings and recommendations into the main body of the report, and this deviation could be due to the length of the report.
Another deviation is the lack of a reference section. The reference section is essential as it provides the sources used in the study. The report from the internet did not have a reference section, and this deviation could be due to the type of report and the fact that it was not a formal research report.
In conclusion, technical and business reports should follow a specific structure to ensure that they are clear, concise, and easily understood. Deviations from the stated structure can affect the quality and accuracy of the report. The deviations in the report from the internet could be due to the length, type, and purpose of the report.
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What is the sum of all the angles that are labeled?
Image of three angles around a single vertex. One angle is fifty five degrees, one is sixty four degrees, and one is one hundred seventy five degrees.
The sum of all the angles that are labeled in the given vertex is 294°
In a single vertex, the three angles around the vertex are given as 55°, 64°, and 175°
We have to find the sum of all the angles that are labeled in the given single vertex.
What is a vertex?A vertex is a point two or more lines meets.
It is the corner of a geometrical shape.
Example:
A square has 4 corners so it has 4 vertexes.
A cube has 8 corners so it has 8 vertexes.
We will add all the different angles in the single vertex as shown in the figure below.
Let,
Angle A = 55°
Angle B = 64°
Angle C = 175°
The sum of all the angles that are labeled is:
= Angle A + Angle B + Angle C
= 55° + 64° + 175°
= 294°
The sum of all the angles that are labeled in the given vertex is 294°
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What is the measure of AC?
Enter your answer in the box.
°
Image shows a circle with angle A B C inscribed in a circle. Angle B measures 4 x minus 5.5 degrees. Arc A C measures 3 x plus 9 degrees.
Answer:
In the circle, the measure of the arc AC is 21°.
Step-by-step explanation:
Concept: We can use the Inscribed Angle theorem to get the measure of AC.
Given that the inscribed angle ∠ABC is 3x-1.5 and the Intercepted arc AC is 3x+9.
Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of the intercepted arc.
So,
3x - 1.5 = 0.5(3x + 9)
6x - 3 = 3x + 9
3x = 12
x = 4
Since the intercepted arc AC is 3x + 9, putting the value of x = 4 we get,
intercepted arc AC is 21°.
Hence the intercepted arc AC is 21°.
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Candice is taking a group nature hike in a park. There is a
$11.00 fee just to enter the park. In addition, the tour
group charges $0.14 per mile they hike. She brought
$81.00 with her. Find the maximum amount of miles
Candice can hike.
Answer:
500 miles
Step-by-step explanation:
81-11 is 70. 70 divided by .14 is 500 so that's 500 miles she can bike.
Answer:
500 miles
Step-by-step explanation:
To find out how many miles Candice can hike at max, use the equation 11 + 0.14x = 81.
11 + 0.14x = 81
Subtract 11 from both sides. This undoes the +11.
0.14x = 81 - 11
Subtract 11 from 81 to get 70.
0.14x = 70
Divide both sides by 0.14. This undoes the multiplication by 0.14.
x = 70/0.14
I recommend converting 0.14 into a fraction. That would be 7/50.
x = 70/(7/50)
Find the reciprocal of 7/50 (50/7). Switch the sign from division to multiplication.
x = (70 * 50)/7
Multiply 70 by 50 to get 3500.
x = 3500/7
Divide 3500 by 7 to get 500.
x = 500
At max, Candice can hike 500 miles.
Order the steps to solve the problem please help
Answer:
C
Step-by-step explanation:
the correct option is C
- 35 degrees C equals to what degree in Feirnhieght (Type an integer or decimal rounded to one decimal place as needed.)
Answer:
-31 F
Step-by-step explanation:
if there is a positive correlation between x and y then in the regression equation, y = bx a, ____.
If there is a positive correlation between x and y then in the regression equation, y = bx + a, the slope coefficient, b, is positive. When there is a positive correlation between x and y, it indicates that an increase in the value of x corresponds to an increase in the value of y.
Thus, the regression line has a positive slope. The slope coefficient of the regression line, b, is a measure of the change in y associated with a one-unit change in x.
When the correlation is positive, the slope coefficient, b, will be positive in the regression equation, y = bx + a. Therefore, y will increase as x increases.Besides, the intercept, a, in the regression equation represents the expected value of y when x = 0. It is also known as the y-intercept of the regression line.
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(LOOK AT THE PICTURE, ASAP) The table below shows the yearly sales of a PS5 video game in a particular store.
ILL GIVE AS MUCH AS POINTS AS POSSIBLE
Answer:
c
Step-by-step explanation:
is 18/3 an irrational number
Answer:
Yes it is irrational
Step-by-step explanation:
Hope this helps
The number 18/3 is 6 which is not an irrational number.
What is an irrational number?An irrational number, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.
here, we have,
18/3
= 6
So, its not an irrational number.
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A student is constructing a triangle with the following dimensions:
side length of 10 inches
side length of 30 inches
Which measurements could be the length of the third side? Select all that apply.
19 inches
21 inches
35 inches
45 inches
50 inches
Answer:
JKBUKKJHKK
Step-by-step explanation:
GYHBGKJHUJUGJ
Answer:
The answer would be 19inches, 50 inches.
i dont knw if its right or not,
but i hope this helps u.
Step-by-step explanation:
What is System Effectiveness, if Operational Readiness is 0.89, Design Adequacy is 95%, Availability is 98%, Maintainability is 0.93, and Mission Reliability is 0.99? a. 0.763 b. 0.881 c. 0.837 d. 0.820
The System Effectiveness is approximately 0.763.
To calculate the System Effectiveness, we need to multiply the values of Operational Readiness, Design Adequacy, Availability, Maintainability, and Mission Reliability.
System Effectiveness = Operational Readiness * Design Adequacy * Availability * Maintainability * Mission Reliability
Plugging in the given values:
System Effectiveness = 0.89 * 0.95 * 0.98 * 0.93 * 0.99
System Effectiveness ≈ 0.763
Therefore, the System Effectiveness is approximately 0.763.
The correct answer is a. 0.763.
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the price of the four new tires changes from $638 to $523 find the percent of increase or decrease
A.18% decrease
B.18% increase
C. 22% decrease
D 22% increase
Step-by-step explanation:
To find the percent change in price of the four new tires, we can use the formula:
percent change = (new value - old value) / old value * 100%
Here, the old value is $638 and the new value is $523.
percent change = ($523 - $638) / $638 * 100%
percent change = -$115 / $638 * 100%
percent change = -0.18 * 100%
percent change = -18%
The result is a decrease of 18%, so the answer is A. 18% decrease.
Okay, let's solve this step-by-step:
Original price of 4 tires: $638
New price of 4 tires: $523
To calculate the percent change, we use the formula:
Percent Change = (New Price - Original Price) / Original Price
So in this case:
Percent Change = ($523 - $638) / $638 = -$115 / $638 = -0.18 = 18%
Since the new price is less than the original price, this is a decrease.
Therefore, the answer is A: 18% decrease
So the answer is A: 18% decrease
A bag contains 5 red counters, 3 blue counters and 1 yellow counter. What is
the probability that a randomly chosen counter from the bag will not be blue?
Give your answer as a fraction in its simplest form.
A box at a miniature golf course contains contains 44 red golf balls, 88 green golf balls, and 77 yellow golf balls. What is the probability of taking out a golf ball and having it be a red or a yellow golf ball?
Express your answer as a percentage and round it to two decimal places.
Answer: 121/209= 57.89% rounded
Step-by-step explanation:
total golf balls are 209
add red + yellow balls = 121
121/209= 57.89% rounded