The region bounded by the equations has a precise area of 21.33 units.
A boundary or some set of constraints are imposed on a bounded region. To put it another way, the size of a bounded shape cannot be infinite. Anything that is bound must be able to be contained within certain parameters.
x2 = 4y2 from equation (1), y3 = 4y2 y3 - 4y2 = 0 y2(y - 4) = 0 y2 = 0 or y-4 = 0 or y = 4 These will be our integration bounds. We have given that x2 = y3 --------- (1) and x = 2y --------- (2).
Therefore, we will express area as A = [- 4]04 = [- 4 - 0] = 64 - 85.33 A = -21.33, or A = 21.33. This indicates that the area of the bounded region is 21.33 units.
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Micah and his brother found some cash at
a bus stop. They split the money evenly, each
getting $ 16. How much money did they find?
m
Answer:
32
Step-by-step explanation:
Add 16 + 16
The population of a city is 100,000 and the annual growth rate is 4.2%. Write an equation to model the population y after x years.
Answer:4.2 times every 100000y=420000x for every year)
Step-by-step explanation:
Please Help due in 1 min
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Can you help I’m in middle school and cant get this!
NO LINKS!!! Plz help this is due tmr
Answer:
Step-by-step explanation:
The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a mechanical golfer with a swing that is said to emulate the legendary champion, Byron Nelson. Ten randomly selected balls of two brands are tested and the overall distance measured. Assume the data are normally distributed. The data follow:
Brand 1 257 276 260 262 287 271 260 265 283 271
Brand 2 273 281 279 275 271 270 263 267 263 268
1) Is there evidence to show that there is a difference in the mean overall distance of brands? Use alpha = 0.05.
2) Calculate a 95% two-sided confidence interval on the difference in mean overall distance.
Answer:
1) Since the calculated value of t = -0.241640 does not fall in the critical region so we accept H0 and conclude that there is not enough evidence to show the difference in the mean overall distance of brands.
2) The 95% CI is [-18.587; 1.01242]
Step-by-step explanation:
The given data is
Brand 1 257 276 260 262 287 271 260 265 283 271
Brand 2 273 281 279 275 271 270 263 267 263 268
Difference d -16 -5 -19 -13 -16 - 01 -3 -2 20 3 ∑ -98
d² 256 25 361 169 256 1 9 4 400 9 ∑1490
1) Let the hypotheses be
H0: ud= 0 against the claim Ha: ud ≠0
2) The degrees of freedom = n-1= 10-1= 9
3) The significance level is 0.05
4) The test statistic is
t= d`/sd/√n
5) The critical region is ║t║≤ t (0.025,9) = ±2.262
Calculations
6) d`= ∑di/n= -98/10= -9.8
Sd²= ∑(di-d`)²/n-1 = 1/n-1 [∑di²- (∑di)²n]
= 1/9[1490-(-9.8)²/10] =1/9 [1490-9.604]= 164.4884
Sd= 12.825
Therefore
t= d`/ sd/√n
t= -9.8/ 12.825/√10
t= -0.764132/3.16227= -0.241640
7) Conclusion:
1) Since the calculated value of t = -0.241640 does not fall in the critical region so we accept H0 and conclude that there is not enough evidence to show the difference in the mean overall distance of brands.
2) The confidence interval for the difference of two samples can be calculated by
d ` ± td sd/√n
Putting the values
-9.8 ±2.262* 12.825/√10
[-18.587; 1.01242]
Unit 11: Volume & Surface Area
Homework 1: Area of Plane Figures
Directions: Find the area of each figure. Round to the nearest hundredth where necessary.
2. and 11. all I need
will give brainliest if u get it right I promise
Answer:
I got 96.71ft 2 by doing it
It can be deduced that the area of the circle will be 26.42 feet.
How to calculate an area of a circle?It should be noted that the area of a circle is calculated by the formula:
= πr²
In this case, the radius is given as 2.9 feet. Therefore, the area of the circle will be:
= πr²
= 3.142 × 2.9²
= 26.42 feet
In conclusion, the area is 26.42 feet.
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please answer this thanks
Answer:
try using an online calculator, it might help
Each letter of the word "rainbow" has been written on a separate slip of paper and put into a box. Find the probability of selecting a slip of paper with a vowel on it, replacing it, then selecting the letter w?
Determine the coordinates of the y-intercept of the function shown in the graph.
A)
(0, -1)
B)
(2,0)
9
(0,2)
D)
(-1,0)
Includes the photo for the question
Need the answer fast question is on the problem will mark brainliest
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Can someone please answer this
Answer:
sorry bro i need points i got 10 minutes left on dis quiz but i recommond course hero bro have a good day
Step-by-step explanation:
There are 15 boys in the class of 40 learners. What is the ratio of boys to girls in the classroom????
Answer:
So I guess in this case we assume there are no nonbinary or genderqueer kids in the class
boys would be 15
girls would be 25
the simplified ratio would be 3/5
Janice Davidson, single mother of two in her late 20s, manages an in-store boutique at Lacy's Department Store. She earns $60,000 a year before taxes (her gross income) and pays 20% in taxes. Janice's fixed monthly living expenses are $2,400 with another $1,600 in variable/discretionary living expenses. Janice has $13,000 in emergency savings. Janice has an employer-paid disability benefit through the department store where she works. Lacy's provides its employees a long-term disability insurance benefit that pays 60% of an employee's gross salary up to a maximum of $5,000 a month. Would a policy that pays 40% of her gross salary provide enough income to cover Janice's fixed monthly expenses if she became disabled and couldn't work? If yes, how much could she set aside each month after fixed expenses are paid? If no, how much of a shortfall would she have and how could she cover it?
Answer:
No, her savings
Step-by-step explanation:
Her monthly income is 5000 (60000/12). She pays $1000 per month (5000x.2) in taxes and has another 2400 in fixed expenses. So her monthly fixed expenses (don’t include 1600 variable) are 3400 (1000+2400). A disability benefit of 40% would pay $2000 per month (5000 x .4). S0 she would be short 1400 per month (2000-3400). She would have to use her $13,000 in savings to make up the difference.
hopefully I interpreted the questions correctly!
a) 40% policy will not cover Janice's fixed monthly expenses.
b) Janice's shortfall is $400.
c) For the shortfall, Janice may resort to emergency funds.
What is a fixed monthly living expense?A fixed monthly living expense is an expense that does not change from period to period.
Examples of fixed monthly living expenses include:
Mortgage paymentsUtility billsLoan payments.Data and Calculations:Annual gross income = $60,000
Annual tax liability = 20% or $12,000 ($60,000 x 20%)
Fixed monthly living expenses = $2,400
Annual fixed living expenses = $28,800 ($2,400 x 12)
Variable discretionary living expenses = $19,200 ($1,600 x 12)
Emergency savings = $13,000
A policy that pays 40% as the disability allowance of gross salary will pay $2,000 ($5,000 x 40%).
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Simplify the following polynomial expression.
(534 – 933 + 73 – 1) + (-804 + 4.12 – 3x + 2) - (-413 + 51 – 1)(21 – 7)
OA. 504 – 3723 - 612 + 411 - 8
OB. 524 – 3723 - 6x2 + 411 - 6
OC. 11,4 – 21.13 + 14x2 + 331 - 6
OD. 11,4 – 2113 + 14.2 + 33.3 - 8
Answer:
This equals:
3949.12
Letter C is the closest since all the rest of the letters eqaul negative sums and C is the only one that's positive.
Step-by-step explanation:
A right triangle has legs that are 21 in. and 25 in. long. What is the area of the triangle?
Answer:
The area of the right triangle is 262.5
Step-by-step explanation:
Pamela is 9 years younger than Jiri. The sum of their ages is 53. What is Jiri's age?
Answer: 44
Step-by-step explanation:53-9
Answer:
31
Step-by-step explanation:
Jiri's age = J
J + (J-9) = 53
2J - 9 = 53
2J = 62
J = 31
Sketch a graph of X= –2
Answer:
It's just a vertical line extending in both directions for infinity at x=-2
Step-by-step explanation:
Graph is in ss
The refrigerator part of a refrigerator-freezer has a volume of 27 cubic feet.
The freezer part is 2 feet high, 2 feet deep and 3 feet wide.
What is the total volume of the refrigerator-freezer?
Answer:
39
Step-by-step explanation:
What is the slope of the line?
Answer:
m= 8/5
Step-by-step explanation:
Points on the graph: ( -4, -4) and (1, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4+4)/(1+4)
m= 8/5
Answer:
slope is 5/4
Step-by-step explanation:
to find slope, use the formula rise/run
Pls help put in order 1,2,3,4,5,6,7,8,9,10 I will give brainlyest
Answer:
A
Step-by-step explanation:
Area of parallelogram=b×h
24=b×4
b=6inches
Which would be the best trend line for the given data set?
A) y=x+4
B) y=-x+4
C) y=-1/4x+2
D) 1/4x+2
A veterinarian in Camperville zoo needs to weigh the big bear. Which would be the most appropriate unit of measure?
A. meters
B. kilograms
C. liters
D. cups
Answer:
Kilograms
Step-by-step
A meter is distance
A kilogram is weight
A liter is related to ounces
A cup is how much of something
Dan bought 5 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 46 cards left. How many cards did Dan start with ? show equation
Answer:
79
Step-by-step explanation:
Let's say that N is the number of cards.
So the first step is N+5, because dan bought 5 new cards.
Next his dog ate half the collection, so the 2nd piece of the problem is [tex]\frac{N+5}{2}[/tex]
The last step is to now make it an equation. Because there are now 46 cards left, [tex]\frac{N+5}{2}[/tex]=42.
Now solve for N which is N+5=84=> N=79
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Need help please I will mark brainlist
Answer: C = 7.62
You can verify this answer using this calculator.
7^2 + 3^2 = 58
√58 = 7.62
I need help please
Please hurry
Answer:
Its 32
Step-by-step explanation:
5+6(2x-1)
i need this like now pls
Answer:
Step-by-step explanation:
5 + 6 = 11 x 2 - 1 = 21 therefore its 21
4, 2, 1, 2, ...
O Arithmetic
O Geometric
O Neither
Answer:
Step-by-step explanation:
Neither...there is no common difference nor a cmon ratio do neither
A lawn is shaped like a parallelogram with a base of 30 feet and a height of 12 feet. Covering the lawn with grass will cost $2.60 per square foot. How much money will it cost to cover the lawn with grass?
Answer:
$138.46
Step-by-step explanation:
30×12=360
360÷2.60=138.46
helppppppppppppppppppppppppp
Answer:
The perimeter of this figure is 40 milimeters.
Step-by-step explanation:
Add all sides' lengths:
3+ 12 + 12+ 13 = 40