Write the standard form equation of the parabola that passes through (20,−40),if the vertex at the origin and the axis of symmetry is vertical.

Answers

Answer 1

Answer:

y = -0.1x^2

Step-by-step explanation:

Start out with vertex form

y = a(x - h)^2 + k

The vertex at the origin

Therefor (h, k) = (0, 0)

y = ax^2

use point (20, -40) to find a

-40 = a(20^2)

-40 = a(400)

Divide both sides by

400

-0.1 = a

Therefor

y = -0.1x^2

This is standard form with a = -.01 and both b and c equal to zero


Related Questions

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

Answers

Answer:

Answer is C.

Step-by-step explanation:

what is the distance between the two numbers on a number line

−7,−3 2/3

Answers

Answer:

5/21

Step-by-step explanation:

Take -3/7 and -2/3 subtract them. (-3/7) - (-2/3) find a common denominator and alter fractions based on it. -9/21 + (14/21)

Factor.

2xy+5x−12y−30



Enter your answer in the box.

Answers

(2y+5)(x−6)

not rlly sure tho

What is the measure of <1

Answers

Answer:

43

Step-by-step explanation:

274 would be absurd and 83 would be close to a right angle which that angle is no where near. It looks like half a right angle meaning 45 and 43 is the closest to that so I think its 43

Please help! I'll give anyone who helps 10 points.

Answers

Answer:

the bottom one b and c

Step-by-step explanation:

it goes at a steady rate of 2b=c

Evaluate.
-8+ (6 + 4) = (-2)
0 – -13
-
-
o - 4
0 -3
-
o - 1

Answers

-13 is the write awnser

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

The average person’s speed when riding a bike along a street is 18 kilometers per hour. What conversion factor can be used to convert this speed to meters per hour?
StartFraction 1 kilometer Over 1,000 meters EndFraction
StartFraction 1 meter Over 1,000 kilometers EndFraction
StartFraction 1,000 meters Over 1 kilometer EndFraction
StartFraction 1,000 kilometers Over 1 meter EndFraction

Answers

Answer:

The given average speed =  18 km per hour

Now, as we know from the conversion parameters:

 1000 meters   = 1 km

or 1 meter =  ( 1/ 1000) kilometer

So, we can use the above information to convert average speed into meters per hour.

The given speed =  18 km / hr = 18 x (1000) meters /hr

                            = 18,000 meters / hr

Step-by-step explanation:

A wire 18 cm long is cut into two pieces. The longer piece is 6 cm longer than the shorter piece.

Find the length of the shorter piece of wire

Answers

The long piece is 12” and the short one is 6”.

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

Answers

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 ≤ 225

Reasons:

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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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).

Answers

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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Please help meeeeeeeeeeeeee

Answers

Answer:

⅓,⁵/12,⁵/24,⁷/48

You can think about them like if they are more or less than the half of the fraction

Sarah weighs 146 pounds . How many ounces does Sarah weight

Answers

Answer:

2336 Ounces

Step-by-step explanation:

1 Pound has 16 Ounces so Multiply 146*16 to get the number of ounces.

146*16=2336 Ounces

Solve the following proportion problem. Round to two decimals as need.

2.4/x = 5

Answers

Step-by-step explanation:

If you mean, 2.4 divided by x equals 5,

and we're to find x,

x=2.4÷5

x=0.48

Hope this helps, If so mark BRAINLIEST please

Weiming, Farhan and Sam had some comic books.
Weiming and Farhan had 36 comic books altogether.
Weiming had 3 times as many comic books as Farhan.
Sam and Farhan had 60 comic books in total.
(a) How many comic books did Farhan have?
(b) How many comic books did Sam have?

Answers

Answer:

Farhan had 9 comic books

Sam had 51 comic books and lived in his Mother's basement

Step-by-step explanation:

W + F = 36

W = 3F

3F + F = 36

F = 9

W = 27

S + F = 60

S + 9 = 60

S = 51

Can you please tell me the answer please

Answers

Answer:

34°

Step-by-step explanation:

21x - 1 + 11x +1 + 26x + 6 = 180

58x -1 +1 +6 = 180

58x +6 = 180

58x = 174

x = 3

11 × 3 + 1 = 34

Sue's paycheck is $1,040 for 40 hours of work. If she works 30 hours next week, what will her paycheck be?

Answers

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.

15 and 3 are a factor of 30?

Answers

Answer:

Yes, they're.

Step-by-step explanation:

30 = 1 * 2 * 3 * 5

A woman invested $15,000 part in 7% stocks and the remainder in 9% bonds. If her yearly yield from both investments is $1,230.00, how much did she invest at each rate?

Answers

Using the simple interest relation, the amount invested in stocks and bond respectively is $15,000 and $2000

Simple interest

Principal × rate × time

Let her total principal = p

Stock :

Interest = 15000 × 0.07 × 1 = 1050

Bond :

Interest = (p - 15000) × 0.09 = 0.09p - 1350

Total interest earned :

1050 + 0.09p - 1350 = 1230

-300 + 0.09p = 1230

0.09p = 1230 + 300

0.09p = 1530

p = $17000

Hence,

Amount invested in stock at 7% = $15000

Amount invested in bond at 9% = $17000 - 15000 = $2000

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If a = -3, find the value of (the 2 on b and c is squared) a) 2a b) a2 c) 3a2​

Answers

Answer:

4, -4, 36

Step-by-step explanation:

a) a*2 = -2*-2 = 4

b) a^2 = -2^2 = -4

c) a*3^2= 3*-2^2 = -36


Which of the following are not polynomials?

Answers

Answer:

A, B, D

Step-by-step explanation:

A polynomial is a 1 term or a sum of terms.

Each term is a number multiplied by 0 or more variables.

A term can never have a variable in the denominator or in any root. A term cannot have the logarithm of a variable or any trig function of a variable.

Answer: A, B, D

o
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.


Answers

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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#SPJ5

If a person can paint a hall in 10 hrs, what is her rate?

Answers

I don't know if this is a question that deserves an answer but I say a 2 out of 5 .

Jimin wants to know whether if there is a difference in proportion of people who like mint chocolate chip-flavored ice cream between Americans and Koreans. She takes a random sample of 46 Americans and find that 30 of them like the flavor, and then she takes a random sample of 53 Koreans and find that 24 of them like the flavor. For a 95% confidence interval of the true difference in proportion of people who like this ice cream flavor, what is the margin of error (MOE)

Answers

Answer:

5hj

m5Step-by-step explanation:

find the approximate value of 2.49 and 2.98 when they are cubed​

Answers

[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]

The perimeter of a rectangular window is 264 cm.
If the width of the window is 56 cm, what is its length?

Answers

Answer:

length = 76 cm

Step-by-step explanation:

The perimeter = (2 × width) + (2 × length)

264 = (2×56) + (2 × length)

264 = 112 + (2 × length)

264 - 112 = 2 × length

152 = 2 × length

152/2 = length

76 = length

length = 76 cm

Help if so omg ur amazing

Answers

the answer is 12/35
(You multiple both of the fractions)

Answer:

12/35 of the road

Step-by-step explanation:

To find 2/5 of 6/7 you simply multiple and simplify if possible.

2/5 * 6/7 = (2*6)/(5*7) = 12/35

Which pair of
Traingle can be proved counter to bySSS

Answers

Answer:

all three pairs of sides are congruent

4. The effects of a certain anesthesia on patients is modeled by the rational function listed below. The
constants A and B are determined by factors such as body mass, age, etc. Suppose a patient who is
about to undergo surgery requires the constants to be A=36 and B=9. If t represents the number of
hours from the time the anesthesia enters the blood stream, and the function describes the percent
concentration needed for the anesthesia to be effective; how long can a surgery take if the percent
concentration needed for the patient to be sedated but not dead is between 4 and 6 percent? Explain
your reasoning and how you found your solution.
Model:C(t)= At/T^2+B

Answers

Answer: you will need 10

Step-by-step explanation:

I had the same problem on my hw this is what i got tell i think its correct:

Edit:

C(t)=At/T^2+B

a=36

b=9

t= how long it takes to enter blood stream

c=36/t^2 + 9

I found T to be 6 becuase I searched it up so

36/6^2=36/36=1

c=9+1

C=10

New awnser is 10

Ms.Taylor buys 8 picture books and 12 marker

Answers

Answer:  Ms.Taylor buys 8 picture books and 12 markers from a book store.The price of a book is $17.85 and the price of a marker is $2.25. Calculate the total amount Ms.Taylor spends.

142.8 is the book price 27 is the marker price added together equal 169.8

Step-by-step explanation:

Answer:

$169.80

Step-by-step explanation:

Ms.Taylor buys 8 picture books and 12 markers from a book store.The price of a book is $17.85 and the price of a marker is $2.25. Calculate the total amount Ms.Taylor spends.

17.85*8=142.8

2.25*12=27

142.8+27=$169.80

ar can drive 90 miles on 3 gallons of gas. How
many miles can be driven with 11 gallons of gas?

Answers

90* 3 = 30
30 x 11 = 330
330 miles
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