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julia-pushkina [17]
3 years ago
9

Given that 1/f = 1/u + 1/v , express u in terms of v and f

Mathematics
1 answer:
JulijaS [17]3 years ago
5 0

Answer:

u = fv/(v - f)

Step-by-step explanation:

1/f = 1/u + 1/v

1/u = 1/f - 1/v = v/fv - f/fv = (v-f)/fv

1/u = (v-f)/fv

u = fv/(v - f)

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A new shopping mall is gaining in popularity every day since it open the number of shoppers is 20% more than the numbers of shop
erastovalidia [21]

Answer: the number of shoppers on the first day is 125

Step-by-step explanation:

The number of shoppers is 20% more than the numbers of shoppers the day before. It means that the number of shoppers is increasing in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

r = 1 + 20/100 = 1.2

n = 4(first 4 days)

S4 = 671

Therefore, the expression for the first 4 days is

671 = (a × 1.2^(4) - 1)/1.2 - 1

671 = (a × 1.2^(4) - 1)/0.2

671 = 1.0736a/0.2

671 = 5.368a

a = 671/5.368

a = 125

3 0
3 years ago
HELP ME SOLVE HURRY I WILL MARK BRAINLIEST THANKS
adelina 88 [10]

Answer:

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5 0
3 years ago
About 1.2 million people live in a region with a 6-mile radius what is the population destiny in people per square mile
Paladinen [302]

Answer:

10616 people per square mile

Step-by-step explanation:

No. of people living in the region = 1.2 million

Radius of the area = 6 mile

Since radius of region is given, area of can be calculated by using formula to get area of circle which is \pi r^2 where r is radius of circle.

the value of pie is 3.14 which will be used in the calculation

Area of region

\pi r^2    \\=> 3.14 * 6^2\\=> 113.04

population density of any place is calculated by dividing the total population of region with area of the region

mathematically it can be written as

population density of any place = the total population of region / area of the region

substituting the value of  total population of region with 1.2 million and  area of the region as calculated 113.04 square mile we have

population density of any place = 1.2 million/113.04 square mile

 = 0.0106157113 million / square mile

Since one million is equal to 1,000,000

0.0106157113 million will be equal to 0.0106157113 * 1,000,000

= 10615.7113

rounding 10615.7113 nearest to unit value, it will be 10616.

Therefore, population density is 10616 people per square mile.

3 0
4 years ago
Which statements are true for the given quadrilaterals?
notka56 [123]
A rectangle is considered a special case of a parallelogram because: Aparallelogram is a quadrilateral with 2 pairs of opposite, equal and parallel sides. Arectangle is a quadrilateral with 2 pairs of opposite, equal and parallel sides BUT ALSO forms right angles between adjacent sides.
6 0
3 years ago
Is the value 75+(-75) less than zero, equal to zero, or greater than zero?
KIM [24]
75 - 75 = 0, therefore, your answer is equal to zero

hope this helps
3 0
3 years ago
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