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3 years ago

What is the value of x? Please help me.

Mathematics

1 answer:

schepotkina [342]3 years ago

3 0

The value of x is equal to one

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Question 17

Rufina [12.5K]

Answer:

698 fishes

Step-by-step explanation:

Generally, we can represent an exponential growth function as;

y = a•(1 + r)^t

originally, there were 3 fishes

The original value in this case means a = 3

After 6 weeks, there were 31

31 in this case is y

r is the increase percentage or rate

t is the time

So, we have it that;

31 = 3•(1 + r)^6

31/3 = (1 + r)^6

10.33 = (1 + r)^6

ln 10.33 = 6 ln (1 + r)

ln 10.33/6 = ln (1 + r)

e^0.3892 = (1 + r)

1 + r = 1.476

r = 1.476-1

r = 0.476 or 47.6%

So the growth percentage or rate is 47.6%

For 14 weeks, we simply have the value of t as 14;

So ;

y = 3•(1 + 0.476)^14

y = 3(1.476)^14

y = 698 fishes

8 0

3 years ago

PLEASE HELP! 100 POINTS!

BartSMP [9]

Answer:

Mrs. Etercsid

Step-by-step explanation:

One thing we can do is just multiply the averages by the percents in each class and compare from there.

To get from percentages to decimals, we can divide by 100.

For Mr. Tats:

Homework: 25 % -> 0.25

Participation: 10% -> 0.1

Test: 40% -> 0.4

Final: 0.25 -> 0.25

For Mrs. Etercsid:

Homework: 15% -> 0.15

Participation: 10% -> 0.1

Test: 60% -> 0.6

Final: 15% -> 0.15

We can then multiply the averages by the decimals for each teacher and add them up.

Mr. Tats:

0.25 * 81 + 0.1 * 57 + 0.4 * 93 + 0.25 * 87 = 84.9

Mrs. Etercsid:

0.15 * 81 + 0.1 * 57 + 0.6 * 93 + 0.15 * 87 = 86.7

You would get the higher grade with Mrs. Etercsid

7 0

3 years ago

The temperature of lake water over a period of time is shown in the graph below.

castortr0y [4]

Answer:

Answers are 3 AM ; 10 , 54

Step-by-step explanation:

We are given a graph.

Recording of temperature starts from 9 PM.

So from Graph,

Temperature ate 9 PM = 59°F

Temperature ate 11 PM = 54°F

Temperature ate 1 AM = 51°F

Temperature ate 3 AM = 50°F

Temperature ate 5 AM = 51°F

Temperature ate 7 AM = 54°F

Temperature ate 9 AM = 59°F

So, At 3 AM the water is at its lowest temperature.

and

After 10 hours passed, the temperature of the lake is 54°F.

Therefore, Answers are 3 AM ; 10 , 54

7 0

3 years ago

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Sara drives 171 miles on 7.6 gallons of gas. She uses this information to calculate how many miles per gallon she can drive. Usi

vfiekz [6]

171 / 7.6 = 22.5 miles per gallon

22.5 x 12.5 = 281.25 miles she can drive

7 0

3 years ago

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NEED HELP ASAP!!!<br><br> Write 18/7 as a mixed number

Kryger [21]

Answer:

Your answer is 2 4/7.

Step-by-step explanation:

Hope this helps!

7 0

3 years ago

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