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
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
Related Questions
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:
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:
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:
Please help people!!!!! I’m stupid
X=8(1+2+3+...+49)+1225
Answers
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
#SPJ2
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?
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
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
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)
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.
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)
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
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
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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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!!!!! :))))))))
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:
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:
Answer all parts please.
Answers
Answer:
no
Step-by-step explanation:
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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
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
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.
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!
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
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
1400-deviation=275
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
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.
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
check whether (x+7) is a factor of (x^2 +4x - 24). Give reason
Answers
So substitute the number (-7) to (x^2+4x-24)
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 m 3 +m 5 =180 true false will mark brainest
Answers
Answer:
true I'm positive that the correct answer
Answer:
TrueStep-by-step explanation:
∠3 and ∠5 are supplementary internal angles that adds up to 180
so ∠3 + ∠5 = 180
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