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telo118 [61]
3 years ago
7

A hot-air balloon at 1020 feet descends at a rate of 85 feet per minute. Let y represent the height of the balloon and let x rep

resent the number of minutes the balloon descends. Write an equation that relates the height of the hot-air balloon to the number of minutes it descends.
Mathematics
1 answer:
Lady_Fox [76]3 years ago
8 0
Y=1020-85x because since it's a decrease it would be goung do, hence the subtraction
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Turn 0.272727... into a fraction
kherson [118]

Answer:

0.272727… = 27/99

Step-by-step explanation:

(since 27 is the repeating part of the decimal and it contains 2 digits). We can reduce this fraction (a process that we'll talk more about in a future article) by noticing that we can divide both the numerator and denominator by 9 to get 0.272727… = 27/99 = 3/11.

8 0
3 years ago
Read 2 more answers
Complete the recursive formula of the geometric sequence 16\,,\,3.2\,,\,0.64\,,\,0.128,...16,3.2,0.64,0.128,
Nastasia [14]

Answer:

a_{n+1}=0.2a_n for all n>0, a_1=16

Step-by-step explanation:

Let \{a_n\}=\{16,3.2,0.64,0.128,\cdots \} be the sequence described.

A geometric sequence has the following property: there exists some r (the ratio of the sequence) such that \frac{a_{n+1}}{a_n}=r forr all n>0.

To find r, note that

\frac{3.2}{16}=\frac{32}{10(16)}=\frac{2}{10}=\frac{1}{5}=0.2

Similarly

\frac{0.64}{3.2}=\frac{64}{10(32)}=\frac{1}{5}=0.2

\frac{0.128}{0.64}=\frac{1}{5}=0.2

Thus a_{n+1}=r a_n=\frac{a_n}{5}=0.2a_n for all n>0, and a_1=16

3 0
3 years ago
Round to the merest hundredth389.993
kvasek [131]
What's a hundredth?

it's like this:

0.01

so where is the hundred place in this number?

389.9<em>9</em>3

it's the 9 that i made boldface

so to round to this number we delete everything after it, asking ourselves if the number after it is 4 or less? yes! so we can just delete it without changing anyway


389.99

3 0
3 years ago
Olivia finished a race in 40.64 seconds. Patty finished the race in 40.39 seconds. Miguel finished the race in 41.44 seconds. Ch
Reika [66]
Patty because she has the lowest time out of them all. From least to greatest Patty would be the least with her time being shorter than the rest
8 0
3 years ago
A painter is placing a ladder to reach the third story window, which is 12 feet above the ground and makes an angle of 80 degree
mash [69]
We know that
tan ∅=opposite side angle ∅/adjacent side angle ∅
adjacent side angle ∅=opposite side angle/tan ∅

in this problem
see the attached figure to better understand the problem
angle ∅=80°
opposite side angle ∅=12 ft  (AB)
adjacent side angle ∅=? (AC)
adjacent side angle ∅=12/tan 80°------> 2.12 ft

the answer is
2.12 ft

3 0
3 years ago
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