Bill and Jerry are both taking their hot-air balloons to the balloon show.
They are good friends and like to share experiences. The especially like that when
they get to fly their balloons next to each other. Unfortunately they did not get
cleared to depart at the same time. Bill got to go up first and had already started
to descend by the time that Jerry was cleared. Five seconds before Jerry takes
off Bill’s balloon basket was 1032 feet above the ground falling at a constant rate.
Five seconds after Jerry takes off Bill’s basket was 985 feet above the ground
and Jerry’s balloon basket was 57 feet off the ground and rising at the same
constant rate the whole time. To the nearest tenth of a second, how long after
Jerry’s balloon took off will the height of the two balloon baskets be the same
height?

Answers

Answer 1

9514 1404 393

Answer:

  62.6 seconds

Step-by-step explanation:

We can use the 2-point form of the equation for a line to write equations for the heights of the balloons.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

__

For Bill's balloon, the two given points are ...

  (t, h) = (-5, 1032) and (5, 985)

Then the equation is ...

  h = (985 -1032)/(5 -(-5))(t -(-5)) +1032

  h = -47/10(t +5) +1032

__

For Jerry's balloon, the two given points are ...

  (t, h) = (0, 0) and (5, 57)

Then the equation is ...

  h = (57-0)/(5-0)(t -0) +0

  h = (57/5)t

__

The heights are equal when ...

  -47/10(t +5) +1032 = (57/5)t

  1008.5 = t(57/5 +47/10) = 16.1t

Then the time until heights are the same is ...

  t = 1008.5/16.1 ≈ 62.6 . . . seconds

Bill And Jerry Are Both Taking Their Hot-air Balloons To The Balloon Show.They Are Good Friends And Like

Related Questions

Let z = 9 – 2i and zw = 25 + 70i.

What is w?

1 + 8i
1 – 8i
–1 + 8i
–1 – 8i

Answers

Answer:

1+8i

Step-by-step explanation:

Given, complex numbers z = 9 – 2i and zw = 25 + 70i. w = 1 + 8i.

What are complex numbers?

In mathematics, a complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit, and satisfying the equation i² = −1.

= (9 - 2i)(1 + 8i)

= 9 + 72i - 2i -16i^2

= 9 + 70i + 16  (i^2 = -1)

= 25 + 70i

Learn more about complex numbers here

https://brainly.com/question/10251853

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Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hour?
0.8 of an inspection in 1 hour
4 inspections in 5 hours
1.25 inspections in 1 hour
5 inspections in 4 hours

Answers

Answer:

1.25 inspections in an hour

so it is c!

10/8= 1.25

Answer:

its c

Step-by-step explanation:

lol xd rawr (i hate myself)

Answer all parts please.

Answers

Answer:

no

Step-by-step explanation:

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Round 34,138 to the nearest thousand??

Answers

Answer:

34,138 to the nearest thousand is 34,000!

Step-by-step explanation:

Hope this helps! Good luck! <3

Answer:

0

Step-by-step explanation:

Please help people!!!!! I’m stupid

X=8(1+2+3+...+49)+1225

Answers

This is absolutely positively 100% correct young sire

Show every subsequence of a subsequence of a given sequence is itselfa subsequence of the given sequence. Hint: Define subsequences asin (3) of Definition 11.1 g

Answers

Answer: Suppose that [tex]S_{n}[/tex],  [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all sequences, also suppose that  [tex]A_{n}[/tex] ⊂ [tex]K_{n}[/tex] ⊂ [tex]S_{n}[/tex]  ∀ [tex]n[/tex] ∈ [tex]Z^{+}[/tex]. This implies that [tex]A_{n}[/tex] ⊂ [tex]S_{n}[/tex] as required. 

Step-by-step explanation:

If you suppose that [tex]S_{n}[/tex],  [tex]K_{n}[/tex] and [tex]A_{n}[/tex]  are all representing three sequences respectively, and you also suppose that  [tex]A_{n}[/tex] is a subset (in other words subsequence) of [tex]K_{n}[/tex] and [tex]K_{n}[/tex]  is a subset (in other words subsequence) of [tex]S_{n}[/tex], where n takes its values from the set of positive integers. We can safely say that [tex]A_{n}[/tex] is a subsequence of [tex]S_{n}[/tex] and this can demosnstrated mathematically as follows:

Suppose that [tex]S_{n}[/tex],  [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all sequences, also suppose that  [tex]A_{n}[/tex] ⊂ [tex]K_{n}[/tex] ⊂ [tex]S_{n}[/tex]  ∀ [tex]n[/tex] ∈ [tex]Z^{+}[/tex]. This implies that [tex]A_{n}[/tex] ⊂ [tex]S_{n}[/tex] as required. 

Rob lost 24 lounds in 6 months of his diet, then lost 16 pounds in 2 months. Find his average weight lost.

Answers

Answer:

4 pounds a month

Step-by-step explanation:

is that what you're looking for

The average weight lost per month is 5 pounds.

What is Division?

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given that,

Rob lost 24 pounds in 6 months of his diet, then lost 16 pounds in 2 months.

Total weight lost = 24 + 16 = 40 pounds

Total time taken to lose the weight = 6 + 2 = 8 months

Average weight lost = Total weight / Total time

                                  = 40 / 8

                                  = 5

Hence there is a weight of 5 pounds lost per month.

To learn more about Division, click on the link given below :

https://brainly.com/question/21416852

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A manufacturing company wants to maximize profits on products A, B, and C. The profit margin is $3 for A, $6 for B, and $15 for C. The production requirements and departmental capacities are as follows.
Production Requirement by Product
Department
(hours)
Departmental Capacity
(total hours)
A
B
Assembling
2
30,000
Painting
1
38,000
Finishing
2
28,000
What is the maximum profit in this model?
3
ONN
2
1
O A. $57,000
OB. $95.000
C. $225,000
D. $75,000

Answers

9514 1404 393

Answer:

  C.  $225,000

Step-by-step explanation:

The utilization for each department must be at most the available capacity. Each product quantity must be non-negative.

You could almost guess the answer here because the profit on product C is so much higher than for the others.

Profit is maximized by producing as much of product C as possible. That quantity is limited by the assembly hours constraint: 2C ≤ 30,000. This permits production of 15,000 units, so gives a profit of ...

  $15·15,000 = $225,000 . . . maximum profit

It costs $19.50 for postage and $5 for insurance to send a one-pound box by Express Mail.

How much does it cost to send 12 one-pound boxes by Express Mail?

Answers

294 dollars

Okay so you would take 19.50 and add the 5 dollar insurance giving you 24.50. Then you’d take the 24.50 and multiply it by 12 giving you 294 dollars

Really hope I got that right

If 6 pounds of apples cost $9, how much would 21 pounds of apples cost?​

Answers

Answer:

$31.50

Step-by-step explanation:

divide 9 by 6 to get the price per pound ($1.50), then multiply that by 21 to get the close of 21 pounds of apples ($31.50)

jacobs exercise goal last month was to do 2,000 push ups and 2,500 sit ups. He reached 3/4 of hosgoal for push ups and 9/10 of his goal for sits ups. How many combined push ups and sit ups did jacob do last month?

Answers

Answer: 1930

Step-by-step explanation:

Answer:1930

Step-by-step explanation:

Darron has 293 cards. he buys 8 more packages of cards that each have 8 cards in them. How many cards does Darron has now?

Answers

Answer:

357 cards

Step-by-step explanation:

Multiply packs by card in each pack

8 x 8 = 64

add this value to the cards he had previously and you will get your answer

293 + 64 = 357

Answer:

357 cards

Step-by-step explanation:

8(8)+293= ?

64+293= 357

Word division problem using 5 as the divisor

Answers

Answer: a divisor is a number by which another number is to be divided.

There are 20 slices of pizza. There are 5 people. How many slices does each person get?

Answer: There were 50 chocolate bars on display at the candy store. All 50 chocolate bars were distributed evenly between 5 children. How many chocolate bars would each child receive?

Prove that cos x + cos 3x + cos 5x + cos 7x = 4cos x cos 2x cos 4x

Answers

Step-by-step explanation:

Prove the following?

cos7x+cos5x+cos3x+cosx=4cosxcos2xcos4x

2

SEE ANSWERS

Answer

3.4/5

36

LHS=cos7x + cos5x + cos3x + cosx

=2cos[(7x+5x)/2].cos[(7x-5x)/2] + 2cos[(3x+x)/2].cos[(3x-x)/2]

[∵ cosA + cosB = 2.cos[(A+B)/2].cos[(A-B)/2]]

=2cos[(12x)/2].cos[(2x)/2] + 2cos[(4x)/2].cos[(2x)/2]

=2cos 6x.cosx+2cos2x.cosx

=2cosx(cos 6x+ cos 2x)

=2.cosx(2cos[(6x+2x)/2].cos[(6x-2x)/2]

=2.cosx(2cos4x.cos2x)

=4.cosx.cos2x.cos4x

=RHS.

hope this helps you!!!!! :))))))))

check whether (x+7) is a factor of (x^2 +4x - 24). Give reason

Answers

Because x+7=0 is -7

So substitute the number (-7) to (x^2+4x-24)

is this correct I made an educated guess because I don't really understand it

Answers

Answer:

Option (2)

Step-by-step explanation:

A function 'f' has been given as,

f(x) = 3x + 1

And the inverse of this function is,

[tex]f^{-1}(x)=\frac{x-1}{3}[/tex]

We have to find the value of f(2).

So we will use the expression: f(x) = 3x + 1

By substituting x = 2 in this function,

f(2) = 3×2 + 1

     = 6 + 1

     = 7

This result tells us the value of the function at x = 2.

Therefore, Option (2) will be the answer.

The m 3 +m 5 =180 true false will mark brainest​

Answers

Answer:

true I'm positive that the correct answer

Answer:

True

Step-by-step explanation:

∠3 and ∠5 are supplementary internal angles that adds up to 180

so ∠3 + ∠5 = 180

apple music sells music online. yesterday, its customers downloaded a total of 7,950 songs. today, they downloaded 5,883 songs. billy says that the percent of decrease in the two-day count of downloads is 35%. is billy correct or incorrect? explain your answer in a complete sentence.​

Answers

Answer:Billy is correct

Step-by-step explanation:

What is the slope of the line whose equation is 12=4x-6y?

Answers

Answer:

slope is 2/3

Step-by-step explanation:

12=4x-6y

We add 6y both sides

12+6y=4x

than subtract 12 from both sides

6y=4x-12

than divide both sides by 6

y=2/3x-2

and the slope is  2/3

Nick's sister is 7 years less than twice Nick's age, a. The sum of Nick's age
and his sister age is 41. Which equation represents this relationship?

Answers

Answer: a+(2a - 7) = 41

Step-by-step explanation:

Let be "a" the Nicci's age and "s" the Nicci's sister.

You know that the sum of Nicci's age and her sister's age is 41. This can be represented with the following equation

Need a step by step answer please

Answers

Answer:

x=10

Step-by-step explanation:

x+2+x=22

combine like terms x + x to get 2x:

2x + 2 = 22

subtract 2 on both sides:

2x = 20

divide by 2 on both sides to isolate x:

x=10

A shirt is on sale for 25% off, and the total comes out
to $15. What is the original price?

Answers

Answer:

$18.75

Step-by-step explanation:

1 3 Divide - 2 +7=Explain each step you used to find the quotient. 9 5 What is the first step in finding this quotient? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a fraction. Use a comma to separate answers as needed.) O A. Multiply the whole parts of the mixed numbers. The product is OB. Multiply the fraction parts of the mixed numbers. The product is OC. Convert the mixed numbers to fractions. The fractions are OD. Find the reciprocal of the dividend. The reciprocal is​

Answers

Answer:    15 an ummm  fine

Step-by-step explanation:

Answer:

15 is the correct answer

Over the past week, 40% of the phone calls to Alicia's cell phone were from her son. Let's say you know that her son called her 12 times. Find out how many total calls she received from her son.

Answers

Answer:

40%

Step-by-step explanation: hope this helps

Answer:

She received 12 calls from her son and 30 calls in total.

Step-by-step explanation:

40% of 30 is 12.

Do you think that T I K T O K will be not allowed to operate in the United States?
Explain.

Answers

Answer:

Step-by-step explanation:

I think it will not because there are a lot of tiktokers and a big amount of tik tok users

Answer:

yes

Step-by-step explanation:

What is the slope of the line passing through the points (-3, 4) and (2, - 1)?

Answers

Answer:

slope = -1 or -x

Step-by-step explanation:

Do y2-y1/x2-x1

Plug in

-1 - 4/ 2 - -3 = -5/5

(Simplify)

-1 so the slope is

-1 or -x

If you want to find the equation use one of the points you have.

4 = -1(-3) + b

4 = 3 + b (subtract 3 on each side)

1 = b

y = -1x + 1 is the equation

slope = - 1

explanation:
m = y2 - y1
————
x2 - x 1

(x1,y1) = (-3,4) -1 - 4 -5
———————. -> ———- = ——- = -1
(x2,y2) = (2,-1). 2 - ( -3) 5



Factors are the numbers used to multiply. True False​

Answers

Answer:

True

Step-by-step explanation

A box of shredded wheat wheat weighs 0.35 .kg and a box of weetabix weighs 9/25 kg. Which box is heavier? Show your work.

Answers

Answer:

weetablx is heavier

Step-by-step explanation:

lets simplify

wheat wheat - 0.35 kg

weetablx - 9/25

simplify into decimals

wheat wheat- 0.35 kg

weetablx- 0.36 kg

brainliest appreciated!

What is the z-score for Paula If she got 1400 on the SAT, the mean was 1100 and the
standard deviation was 275?

Answers

Yea it is 275 with standard subtract
1400-deviation=275

Which set of ordered pairs represents a function?
o {(1,3) (2,5) (4, 9) (4, 13)}
o {(1,3) (1,5) (4, 9) (6,3)}
o {(1,3) (2,5) (2,9) (6, 13)
o {(1,3) (2,5) (4,9) (6,5)}
pls help

Answers

The last answer because the domain (x) does not repeat itself! If you ever see the first letter repeat, that’s not a function! :)
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