LORAN follows an hyperbolic path.
The equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]
The coordinates are given as:
[tex]\mathbf{(x,y) = (-60,0)\ (60,0)}[/tex]
The center of the hyperbola is
[tex]\mathbf{(h,k) = (0,0)}[/tex]
The distance from the center to the focal points is given as:
[tex]\mathbf{c = 60}[/tex]
Square both sides
[tex]\mathbf{c^2 = 3600}[/tex]
The distance from the receiver to the transmitters is given as:
[tex]\mathbf{2a = 100}[/tex]
Divide both sides by 2
[tex]\mathbf{a = 50}[/tex]
Square both sides
[tex]\mathbf{a^2 = 2500}[/tex]
We have:
[tex]\mathbf{b^2 = c^2 - a^2}[/tex]
This gives
[tex]\mathbf{b^2 = 3600 - 2500}[/tex]
[tex]\mathbf{b^2 = 1100}[/tex]
The equation of an hyperbola is:
[tex]\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}[/tex]
So, we have:
[tex]\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}[/tex]
[tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]
Hence, the equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]
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Can somebody help me with number 5 and number 8
Answer:
8.b. 5.d
Step-by-step explanation:
I think. because of space is not to famielier on me and between of point i think
Factor.
2xy+5x−12y−30
Enter your answer in the box.
(2y+5)(x−6)
not rlly sure tho
PLEASE ANSWER FAST!!!
A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.
Each minute, the faucet allows 1215 gallons of water to enter the pool, and the drain allows 1523 gallons to leave the pool.
What is the change in the amount of water in the pool after 112 minutes?
Enter your answer as a simplified mixed number by filling in the boxes. FRACTION PROBLEM
Answer:
-34496 gallons = 34496 gallons less
Step-by-step explanation:
In 112 minutes, 1215(112) = 136080 gallons of water is added by the faucet
In 112 minutes, 1523(112) = 170576 gallons of water are drained from the pool.
So, assuming that the pool is not completely drained in the 112 minute time interval, the change in the amount of water = 136080 - 170576 = -34496 gallons; i.e., the amount of water in the pool is 34496 gallons less.
What are the measures for the nuber angles
1. 75
2. 105
3. 105
4. 75
6. 105
7. 105
8. 75
ar can drive 90 miles on 3 gallons of gas. How
many miles can be driven with 11 gallons of gas?
) Chứng minh rằng giá trị của biểu thức ((x-2√x)÷(√x-2) ) - ((x-4)÷√x+2)) không phụ thuộc vào giá trị của biến.
...........chúc bạn thành công ✊
Solve for X
Marking anybody who got it right the brainliest
Answer:
198°Step-by-step explanation:
We see angles P and R marked to be same with P having the angle measure indicated.
We assume the Q is the right angle, otherwise the given info is not enough to find the answer.
Added segments parallel to PQ and QR. See the picture.
The angle x is partitioned as:
Right angle and two complementary angles, one with P and one with R.Then its measure is:
90° + 2(90° - 36°) = 198°Pls help ASAP I don’t get it
Look at the picture attached down here. You can see the Venn Diagram fully completed. As you can see the brown part is the empty loop. And this is because the list of numbers given do not share 4 and 9 (6 excluded) as common multiples.
The numbers outside the circles are numbers that are not multiples of 4 or 9 or 6. It's 371 and 79. By the way, 79 is a prime number, so it's only divisors are itself and 1. 371 is not a prime number, it is divisible by 1, 7, 53, 371.
Good luck
The principal of a school is hosting a small luncheon for her staff. She plans to prepare two sandwiches for each person. Some staff members offer to bring salads and beverages.
The principal has a budget of $225 and expects at least 16 people to attend. Sandwiches cost $3 each.
Select all of the equations and inequalities that could represent the constraints in the situation, where n is the number of people attending and s is the number of sandwiches.
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Select all that apply:
A. n ≥ 16
B. n ≥ 32
C. s < 32
D. s = 2n
E. 3n ≤ 225
F. 3s ≤ 225
The constraints in the question are given by the definition of the variables;
The constraints are represented by the following equation and inequalities.
A. n ≥ 16D. s = 2·nF. 3s ≤ 225Reasons:
The budget of the principal = $225
Number of people expected = 16 people
Number of sandwich per person = 2
Cost of each sandwich = $3
Required:
To select the inequalities that represent the situation's constraint
Solution:
The variable that represent the number of people attending = n
The number of sandwiches = s
From the question , we have;
The number of sandwich per attendee = 2 sandwiches
The total number of sandwich, s, for n attendees = 2·n
Therefore, we have;
s = 2·n
The number of people attending is at least 16, therefore;
n ≥ 16
The cost of the s sandwich = $3 × s
The total cost should be less than or equal to given budget of $225,
therefore;
3s ≤ 225
The equations and inequalities that could represent the constraints are;
A. n ≥ 16, D. s = 2·n, and F. 3s ≤ 225
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Find the equation of the linear function represented by the table
Y 2 7 12 17
x 1 2 3 4
Answer:
Step-by-step explanation:
(1, 2) (2, 7)
(7-2)/(2 - 1) = 5/1= 5
y - 2 = 5(x - 1)
y - 2 = 5x - 5
y = 5x - 3
The super discount store s having a sale and all the clearance items are 40% off. which of the following are correct ways to find the price of an item that is normally $25.00?
A. Multiply $25.00 by 40 B. Multiply $25.00 by 0.4
C. Multiply $25.00 by 0.4 and subtract that amount from $25.00
D. Multiply $25.00 by 0.6
Answer:
Answer is C.
Step-by-step explanation:
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Addison is considering two sales jobs. She
estimates her total monthly sales will average $18,000. Which job should Addison take if she wants to earn more money each month? How much more will she earn?
A commission of 24% of her total
monthly sales.
Salary of $4,000 with a commission of 12.25% on her total monthly sales
over $14,500.
Answer: job 2 $ 108.75
Step-by-step explanation:
The total income after adding commission will be $5776.25.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that salary of $4,000 with a commission of 12.25% on her total monthly sales of over $14,500.
Total income will be calculated as:-
Total income = 4000 + 12.25% of 14500
Total income = 4000 + 1776.25
Total income = $5776.25
Therefore, the total income after adding the commission will be $5776.25.
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Top Kwartalan In Indonesian ☺
[tex] {5}^{5} = [/tex]
Answer:
3125
Step-by-step explanation:
5*5*5*5*5
Help please !!!!!!!!!!!
Answer:i have no Step-by-step explanation:
a
Allowance method entries
The following transactions were completed by Wild Trout Gallery during the current fiscal year ended December 31:
Jan. 19. Reinstated the account of Arlene Gurley, which had been written off in the preceding year as uncollectible. Journalized the receipt of $2,560 cash in full payment of Arlene’s account.
Apr. 3. Wrote off the $14,670 balance owed by Premier GS Co., which is bankrupt.
July 16. Received 25% of the $26,300 balance owed by Hayden Co., a bankrupt business, and wrote off the remainder as uncollectible.
Nov. 23. Reinstated the account of Harry Carr, which had been written off two years earlier as uncollectible. Recorded the receipt of $4,175 cash in full payment.
Dec. 31. Wrote off the following accounts as uncollectible (compound entry): Cavey Co., $11,035 ; Fogle Co., $3,275 ; Lake Furniture, $ 8,420 ; Melinda Shryer, $2,380.
Dec. 31. Based on an analysis of the $1,299,500 of accounts receivable, it was estimated that $56,500 will be uncollectible. Journalized the adjusting entry.
Required:
1. Record the January 1 credit balance of $53,800 in a T account presented below in requirement 2b for Allowance for Doubtful Accounts.
2. a. Journalize the transactions. If an amount box does not require an entry, leave it blank. Note: For the December 31 adjusting entry, assume the $1,299,500 balance in accounts receivable reflects the adjustments made during the year.
2. b. Post each entry that affects the following T accounts and determine the new balances:
3. Determine the expected net realizable value of the accounts receivable as of December 31 (after all of the adjustments and the adjusting entry).
$fill in the blank 73711efa1fe301a_1
2,290,000
4. Assuming that instead of basing the provision for uncollectible accounts on an analysis of receivables, the adjusting entry on December 31 had been based on an estimated expense of ½ of 1% of the sales of $8,020,000 for the year, determine the following:
a. Bad debt expense for the year.
b. Balance in the allowance account after the adjustment of December 31.
c. Expected net realizable value of the accounts receivable as of December 31 (after all of the adjustments and the adjusting entry).
Using the Allowance Method, the relevant transactions can be completed in the books of Wild Trout Gallery as follows:
1. Allowance for Doubtful Accounts
Accounts Debit Credit
Jan. 1 Beginning balance $53,800
Jan. 19 Accounts Receivable 2,560
Apr. 3 Accounts Receivable $14,670
July 16 Accounts Receivable 19,725
Nov. 23 Accounts Receivable 4,175
Dec. 31 Accounts Receivable 25,110
Dec. 31 Ending balance $56,500
Dec. 31 Bad Debts Expenses $55,470
Totals $116,005 $116,005
Accounts Receivable
Accounts Debit Credit
Jan. 1 Beginning balance $2,290,000
Jan. 19 Allowance for Doubtful 2,560
Jan. 19 Cash $2,560
Apr. 3 Allowance for Doubtful 14,670
July 16 Allowance for Doubtful 19,725
July 16 Cash 6,575
Nov. 23 Allowance for Doubtful 4,175
Nov. 23 Cash 4,175
Dec. 31 Allowance for Doubtful 25,110
Dec. 31 Sales Revenue 8,020,000
Dec. 31 Cash $8,944,420
Dec. 31 Ending balance $1,299,500
Totals $10,316,735 $10,316,735
3. Expected net realizable value of the accounts receivable as of December 31 = $1,243,000 ($1,299,500 - $56,500)
Allowance for Doubtful Accounts ending balance = $40,100 ($8,020,000 x 0.5%)
Allowance for Doubtful Accounts
Accounts Debit Credit
Jan. 1 Beginning balance $53,800
Jan. 19 Accounts Receivable 2,560
Apr. 3 Accounts Receivable $14,670
July 16 Accounts Receivable 19,725
Nov. 23 Accounts Receivable 4,175
Dec. 31 Accounts Receivable 25,110
Dec. 31 Ending balance $40,100
Dec. 31 Bad Debts Expenses $39,070
Totals $99,605 $99,605
4. a. Bad Debt Expense for the year = $39,070
4.b. Balance for Allowance Accounts = $40,100
4.c. Expected net realizable value of the accounts receivable = $1,259,400 ($1,299,500 - $40,100)
Data Analysis:
Jan. 19 Accounts Receivable $2,560 Allowance for Uncollectible Accounts $2,560
Jan. 19 Cash $2,560 Accounts Receivable $2,560
Apr. 3 Allowance for Uncollectible Accounts $14,670 Accounts Receivable $14,670
July 16 Cash $6,575 Allowance for Uncollectible Accounts $19,725 Accounts Receivable $26,300
Nov. 23 Accounts Receivable $4,175 Allowance for Uncollectible Accounts $4,175
Nov. 23 Cash $4,175 Accounts Receivable $4,175
Dec. 31 Allowance for Uncollectible Accounts $25,110 Accounts Receivable $25,110
Accounts Receivable ending balance = $1,299,500
Allowance for Uncollectible Accounts ending balance = $56,500
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Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.
Second-degree, with zeros of −4 and 6, and goes to −∞ as x→−∞.
p(x) =
9514 1404 393
Answer:
p(x) = -x^2 +2x +24
Step-by-step explanation:
When the polynomial has a zero at x=q, it has a factor of (x -q). The zeros of -4 and 6 tell you the factors are (x -(-4)) and (x -6). The end behavior tells you the leading coefficient is negative.
p(x) = -(x +4)(x -6)
p(x) = -x^2 +2x +24
True or false
Quotient x Remainder + Dividend - Divisor
Evaluate.
-8+ (6 + 4) = (-2)
0 – -13
-
-
o - 4
0 -3
-
o - 1
Answer:
-13
Step-by-step explanation:
Step 1: Evaluate the terms in parenthesis
6+4=10
The expression becomes -8 + 10 ÷ (-2)
Step 2: Division
10 ÷ (-2) = -5
The expression becomes -8 + (-5)
Step 3: Subtraction
-8 - 5 = -13
15 and 3 are a factor of 30?
Answer:
Yes, they're.
Step-by-step explanation:
30 = 1 * 2 * 3 * 5
Sue's paycheck is $1,040 for 40 hours of work. If she works 30 hours next week, what will her paycheck be?
Answer: 780
Step-by-step explanation:
1040/40 = 26
If Sue's paycheck contains $1,040 for 40 hours then she gets pay $26 for a hour.
26(30) = 780
To find what her paycheck consist of within 30 hours, you'll multiply 26, the amount she make an hour by 30, hours and you'll get 780.
What is 80% of _____ is 60
Answer:
75
Step-by-step explanation:
First, we know that 60 is 80 percent of something.
So, on that knowledge, we can setup this equation:
X × 0.80 = 60
Then, we multiply both sides by 0.80 , we then get 75.
We can check with 75 × 0.80 does equal to 60!
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1. The miles traveled in 5 hours at a rate of 189 miles in 3 hours?
Special gift if you answer it right!
Answer:
312 miles were traveled in 5 hours
Step-by-step explanation:
A math book at Housatonic Community College cost the bookstore $84 to purchase. They sell it for $126. What percent markup did the bookstore charge?
Help I’ll give BRAINLIEST
Step-by-step explanation:
Let's rewrite the original equation as
[tex]y - 2 = 2x + 6 \Rightarrow y = 2x + 8[/tex]
or in standard form, our equation becomes
[tex]2x - y = -8[/tex]
where A = 2, B = -1 and C = -8
Which pair of
Traingle can be proved counter to bySSS
Answer:
all three pairs of sides are congruent
find the approximate value of 2.49 and 2.98 when they are cubed
[tex]\huge\fbox\orange{S} \huge\fbox\red{C}\huge\fbox\blue{R}\huge\fbox\green{O}\huge\fbox\gray{L}\huge\fbox\purple{L>}[/tex]
[tex]\huge\underline\mathtt\colorbox{cyan}{2.49 cubed=15.438249}[/tex]
[tex]\huge\underline\mathtt\colorbox{red}{2.98 cubed=26.463592}[/tex]
can someone plz help me with this!!!
2 is the correct answer of this question
How much of the circle is shaded? Write your answer as a fraction in simplest form.
Answer:
5/28
Step-by-step explanation:
[tex] \frac{1}{4} + \frac{4}{7} = \frac{7 + 16}{28} = \frac{23}{28} \\ 1 - \frac{23}{28} = \frac{5}{28} [/tex]
Jonathan made $546 last
month selling newspapers.
This month he made $874.
He then got an extra $200
because he sold the most
papers. How much money
did he make in all?
Answer:
1620
Step-by-step explanation:
Answer:
$1620
Step-by-step explanation:
Earning in last month: $546
Earning in this month: $874
Extra earning: $200
Total earning = 546 + 874 + 200 = 1620