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Anna11 [10]
2 years ago
15

Can someone please help

Mathematics
1 answer:
Sloan [31]2 years ago
7 0

Answer:

41

Step-by-step explanation:

an = a1 + (n-1)d

a_n = the nᵗʰ term in the sequence = 10

a_1 = the first term in the sequence = 5

d = the common difference between terms = 4

a10 = 5 + (10-1)4

a10 = 5 + (9)4

a10 = 5 + 36

a10 = 41

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90 is 75% of what number
Viktor [21]

Answer:

120

Step-by-step explanation:

90 x 100 ÷ 75 = 120

5 0
3 years ago
The fish population in a certain lake rises and falls according to the formula F = 3000(23 + 11t − t2). Here F is the number of
Gemiola [76]

Answer:

a) On January 1, 2017 the fish population will be the same as the initial population.

b) On September 18th, 2018 the fish population will be zero.

Step-by-step explanation:

Hi there!

a) First, let´s write the function:

F(t) = 3000(23 + 11t − t²)

The population on January 1, 2006 is the population at t = 0. Then:

F(0) = 3000(23 + 11· 0 - 0²)

F(0) = 3000 · 23 = 69000

This will be the population every time at which t² - 11t = 0. Then let´s find the other value of t (besides t = 0) that makes that expression to be zero:

t² - 11t = 0

t(t - 11) = 0

t = 0

and

t - 11 = 0

t = 11

On January 1, 2017 (2006 + 11), the fish population will be the same as the initial population.

b) We have to obtain the value of t at which F(t) = 0

F(t) = 3000(23 + 11t − t²)

0 = 3000(23 + 11t − t²)

divide both sides of the equation by 3000

0 = 23 + 11t − t²

Let´s solve this quadratic equation using the quadratic formula:

a = -1

b = 11

c = 23

x = [-b ± √(b² - 4ac)] / 2a

x = 12.8  ( the other value of x is negative and therefore discarded).

After 12.8 years all the fish in the lake will have died.

If 1 year is 12 months, 0.8 years will be:

0.8 years · 12 months/year = 9.6 months

If 1 month is 30 days, 0.6 month will be:

0.6 month · 30 days / month = 18 days

All the fish will have died after 12 years, 9 months and 18 days from January 1, 2006. That is, on September 18th, 2018.

7 0
3 years ago
What is the solution to the proportion 3y-8/12=y/5? can someone help me do this?
RideAnS [48]
   
\displaystyle\\
 \frac{3y-8}{12} = \frac{y}{5}  \\  \\ 
5(3y-8)=12y\\\\
15y-40=12y\\\\
3y = 40\\\\
\boxed{y =  \frac{40}{3}}



3 0
3 years ago
Read 2 more answers
In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=57°, and XY = 8 feet. Find the length of YZ to the nearest tenth of a foot.
Zolol [24]

Answer:

21

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Plz plz help me tysm if u do
Yanka [14]
1) 4
2) 16
3) 16
4) 6
5)12
6) 4
4 0
3 years ago
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