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Dimas [21]
3 years ago
13

Which is the logarithmic form of 4^5 = 1024

Mathematics
1 answer:
leva [86]3 years ago
3 0

Answer:

Log_41024=5

Step-by-step explanation:

The change of form formula (exponential to logarithm) is:

a^x=b\\Log_ab=x

Looking at the problem given, we can simply write the logarithmic form as:

4^5=1024\\Log_41024=5

This is the answer.

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The largest ferry in the Puget Sound fleet can carry 2,500 passengers every hour.
tia_tia [17]

Answer:

a: $60.45

b: 20

Step-by-step explanation:

I did this on a test!

8 0
3 years ago
20 Points Help<br> Solve for y.<br><br><br><br> Enter your answer in the box.<br><br> y =
Oksana_A [137]
It’s an equilateral triangle so all of the triangle angles add up to 180 and since it’s equilateral each angle is 60 degrees. Setting 8y-4=60, 8y=64, thus y=8 degrees.
8 0
3 years ago
Read 2 more answers
A flower shop ordered 1,176 flowers to make bouquets. Each bouquet will have 12 flowers. How many bouquets can the flower shop m
nadya68 [22]

Answer: B.98

Step-by-step explanation:

all you have to do is divide 1,176 by 12.

3 0
3 years ago
Can you help with these two questions?
Lady bird [3.3K]

1) 155.91 grams would be left after 10 years

2) The population would be 376,478 in 2040

Step-by-step explanation:

The form of the exponential function is y=a(b)^{x} , where

  • a is the initial amount (y at x = 0)
  • b is the growth/decay factor
  • b = 1 + r, where r is the rate of growth
  • b = 1 - r, where r is the rate of decay

1)

Scientists are studying a 500 grams sample of a radioactive element, which has an annual decay rate of 11%

∵ The initial amount is 500 grams

∴ a = 500

∵ The annual decay rate is 11%

∴ r = 11% = 11 ÷ 100 = 0.11

∵ b = 1 - r ⇒ decay

∴ b = 1 - 0.11 = 0.89

- We need to find how many grams of the sample would be left

  after 10 years

∴ x = 10

- Substitute all of these values in the form of the exponential function

∵ y=500(0.89)^{10}

∴ y = 155.9085996

- Round it to 2 decimal places

∴ y = 155.91

155.91 grams would be left after 10 years

2)

In 2000, the population of an Ohio town was 140,212. The population is expected to grow at a rate of 2.5% each year

∵ The population of an Ohio town was 140,212

∴ a = 140.212

∵ The population is expected to grow at a rate of 2.5% each year

∴ r = 2.5% = 2.5 ÷ 100 = 0.025

∵ b = 1 + r ⇒ growth

∴ b = 1 + 0.025 = 1.025

- We need to find the population in 2040

∵ The number of years is 2040 - 2000 = 40 years

∴ x = 40

- Substitute all of these values in the form of the exponential function

∵ y=140212(1.025)^{40}

∴ y = 376478.1709

- Round it to the nearest whole number

∴ y = 376,478

The population would be 376,478 in 2040

Learn more:

You can learn more about the functions in brainly.com/question/11921476

#LearnwithBrainly

6 0
3 years ago
FIND THE VALUE OF X​
Crazy boy [7]

Answer:

By using the rule that the interior angles of any triangle equal 180 we see that:

m<ABC+m<CAB+m<ACB=180°

Therefore,

(2x+15)+(x+10)+(3x+5) = 180°

Now we have an equation and can solve for x:

Combine like terms:

(2x+15)+(x+10)+(3x+5) = 180°

6x+30=180°

6x+30-30=180-30

6x=150

x=25

To check our work just plug in 25 for x in each equation and the sum of those answers should add up to 180:

2x+15

2(25)+15

65

x+10

25+10

35

3x+5

3(25)+5

75+5

80

65+35+80=180

x=25 is valid

Step-by-step explanation:

7 0
3 years ago
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