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Firdavs [7]
4 years ago
6

A scientist has discovered an organism that replicates at a rate of five per hour and lives for one week. Each replicated organi

sm also replicates at the same rate. At hour one, there is one organism. At hour two, there are five more organisms. How many total organisms are there at hour seven?
a)2,801

b)19,531

c)19,607

d)97,655
Mathematics
1 answer:
bezimeni [28]4 years ago
4 0
A)2,801 

write an equation for the translation of y= [x]. 16.5 units
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a company promises to release model every month. each model's battery life will be 6% longer than the previous model's. if the c
Ratling [72]

The number of months that it will take the latest model's battery life to reach 1,008.9 minutes is; 8 months

<h3>How to solve geometric progression?</h3>

Each month, there is an increase by a factor of 0.06 of the previous months model.

From geometric sequence formula of aₙ = ar^(n - 1),

where;

a is first term

r is common ratio

aₙ is nth term

we have;

1,008.9 = 671 * 1.06^(n - 1)

1008.9/671 = 1.06^(n - 1)

In 1.504 = (n - 1) In 1.06

0.408 = (n - 1) * 0.058

n - 1 = 0.408/0.058

n = 7.03 + 1

n ≈ 8 months

Read more about geometric sequence at; brainly.com/question/24643676

#SPJ1

5 0
2 years ago
8x + 12 = 4r - 16 find r
Luda [366]

Answer:

r = 2x + 7

Step-by-step explanation:

get r on one side

8x + 12 + 16 = 4r

divide both sides by 4 to get r by itself

8x/4 + 12/4 + 16/4 = 4r/4

2x + 3 + 4 = r

2x + 7 = r

or

r = 2x + 7

8 0
3 years ago
Dave is comparing the circumferences of several trees in his yard. The oak tree is 0.539 meters in circumference, the ash tree h
stepan [7]

Answer:   c. elm

Step-by-step explanation:

Given : The circumference of the oak tree= 0.539 meters

=0.539\times100=53.9\text{ cm}   [∵ 1 m = 100 cm]             (1)

The circumference of the ash tree= 0.509 yards

=0.509\times3\text{ feet}   [∵ 1 yard = 3 feet]

=0.509\times3\times 30.48\text{ cm}  [∵ 1 foot = 30.48 cm]

=46.54296\approx46.54\text{ cm}        (2)

The circumference of the elm tree = 6281.70 millimeters

=\dfrac{6281.70}{10}=628.17\text{ cm}          (3)

The circumference of the poplar tree = 0.000385 miles

=0.000385 \times5280\text{ feet}   [∵ 1 mile = 5280 feet]

=0.000385 \times5280\times30.48\text{ feet}  [∵ 1 foot = 30.48 cm]

=61.959744\approx61.96\ \text{ cm}              (4)

From (1) , (2) , (3 ) and (4) it is clear that

46.54< 53.9 < 61.96 < 628.17

Hence, the elm tree has the greatest circumference.

5 0
3 years ago
Find all the real square roots of 0.0625
Fudgin [204]
Answer and workings in the attachment below.

8 0
4 years ago
Determine how triangles WVX and YZX can be shown to be similar.
NeX [460]

Answer:

D

Step-by-step explanation:

7 0
3 years ago
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