Write the number 3,2 and 8 in a addition sentence. Show two more ways to find the sum

The game commission observes the fish population in a stream and notices that the number of trout increases by a factor of 1.5 e

just olya [345]

Answer:

A - $f(t)=80(1.5)^t$

B - Graph given below

C - Number of trouts in 5th week are 607.2

D - Population of trouts will exceed 500 on the 5th week.

Step-by-step explanation:

We are given that,

The number of trout increases by a factor of 1.5 each week and the initial population of the trout is observed to be 80.

Part A: So, the explicit formula representing the situation is,

$f(t)=80(1.5)^t$ , where f(t) represents the population of trouts after 't' weeks.

Part B: The graph of the function can be seen below.

It can be seen that the function is an exponential function.

Part C: It is required to find the number of trouts in the 5th week.

So, we have,

$f(5)=80(1.5)^5$

i.e. $f(5)=80\times 7.59$

i.e. f(5) = 607.2

Thus, the number of trouts in 5th week are 607.2

Part D: We are given that the trout population exceeds 500.

It is required to find the week in which this happens.

So, we have,

$50$

i.e. $(1.5)^t>\frac{500}{80}$

i.e. $(1.5)^t>6.25$

i.e. $t\log 1.5>\log 6.25$

i.e. $t\times 0.1761>0.7959$

i.e. $t>\frac{0.7959}{0.1761}$

i.e. t > 4.5

As, t represents the number of weeks. So, to nearest whole, t = 5.

Thus, the population of trouts will exceed 500 on the 5th week.

7 0

3 years ago

Which of the following is/are cube(s) of even number (i) 249 (ii) 50653

irinina [24]

Answer:

None (If there are just these two options i.e, 249 and 50653. I think there are more options, anyway)

Step-by-step explanation:

Cubes of even numbers are even and cube of odd numbers are odd.

Since both the numbers are odd, both of their cubes must be odd too.

Thank You

Hope this helps you

Please mark as brainliest

5 0

3 years ago

Michael has two jobs. He earns $9.25 per hour at a pet store and earns $8.90 per hour at a telemarking job. If p represents the

12345 [234]

Answer:

9.25 p + 8.90 t ≥ 100 describes the relationship between p and the t for Michael to earn at least $100.

Step-by-step explanation:

p = Number of hours worked at the pet store

Earning per hour at pet store = $9.25

t = Number of hours worked as a telemarketer

Earning per hour at telemarketing job = $8.90

Now, total amount earned at pet store after working p hours = p x $9.25

and total amount earned at tele job after working t hours = t x $8.90

Now, according to the question

Total money earned at pet store + Total earning at telemarketing job = At least $100

⇒ 9.25 p + 8.90 t ≥ 100

Hence, 9.25 p + 8.90 t ≥ 100 describes the relationship between p and the t .

5 0

4 years ago

Please look at the picture!

belka [17]

Answer:

It's A my friend

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

At a hockey game, a vender sold a combined total of 204 sodas and hot dogs. The number of sodas sold was three times the number

Zielflug [23.3K]

Answer:

Step-by-step explanation:

Given that at a hockey game, a vender sold a combined total of 204 sodas and hot dogs.

The number of sodas sold was three times the number of hot dogs sold.

Let no of hot dogs be sold be x then no of sodas sold will be 3x

Total number of sodas and hot dogs $= x+3x=204\\x=51\\3x=153$

the number of sodas =153

and the number of hot dogs sold=51

6 0

4 years ago