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2 years ago

10. Find the circumference of the circle. Use 3.14 for pi. Round to the nearest unit.

Mathematics

1 answer:

Jlenok [28]2 years ago

7 0

The answer to the 1st question is..
D. 27 cm

The answer to the 2nd question is..
B. 10, 042. 95

Hope this helps!!

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Debra bought 20 books. Debra bought 5 times as many books as Abdul. Let b be the number of books Adbul bought. Write an equation

Drupady [299]

Answer:

5b = 20

Step-by-step explanation:

Since Abdul bought b books and Debra bought 5 times as many books as Abdul, then 5b represents the number of books Debra bought. Since we know that Debra bought 20 books, we can write an equation to represent that: 5b = 20.

(Abdul bought 4 books in that case)

5 0

3 years ago

In 2000 the population of a country reached 1 billion, and in 2025 it is projected to be 1.2 billion. (a) Find values for C an

Mice21 [21]

Answer:

(a) The value of C is 1.

(b) In 2010, the population would be 1.07555 billions.

(c) In 2047, the population would be 1.4 billions.

Step-by-step explanation:

(a) Here, the given function that shows the population(in billions) of the country in year x,

$P(x)=Ca^{x-2000}$

So, the population in 2000,

$P(2000)=Ca^{2000-2000}$

$=Ca^{0}$

$=C$

According to the question,

$P(2000)=1$

$\implies C=1$

(b) Similarly,

The population in 2025,

$P(2025)=Ca^{2025-2000}$

$=Ca^{25}$

$=a^{25}$ (∵ C = 1)

Again according to the question,

$P(2025)=1.2$

$a^{25}=1.2$

Taking ln both sides,

$\ln a^{25}=\ln 1.2$

$25\ln a = \ln 1.2$

$\ln a = \frac{\ln 1.2}{25}\approx 0.00729$

$a=e^{0.00729}=1.00731$

Thus, the function that shows the population in year x,

$P(x)=(1.00731)^{x-2000}$ ...... (1)

The population in 2010,

$P(2010)=(1.00731)^{2010-2000}=(1.00731)^{10}=1.07555$

Hence, the population in 2010 would be 1.07555 billions.

(c) If population P(x) = 1.4 billion,

Then, from equation (1),

$1.4=(1.00731)^{x-2000}$

$\ln 1.4=(x-2000)\ln 1.00731$

$0.33647 = (x-2000)0.00728$

$0.33647 = 0.00728x-14.56682$

$0.33647 + 14.56682 = 0.00728x$

$14.90329 = 0.00728x$

$\implies x=\frac{14.90329}{0.00728}\approx 2047$

Therefore, the country's population might reach 1.4 billion in 2047.

3 0

3 years ago

The table below represents the closing prices of stock ABC for the last five

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

just trust me

7 0

3 years ago

What is the standard form equation of the line shown below?

Pavlova-9 [17]

Answer:

Step-by-step explanation:

14/3 = 4.7 which seems about right for the Y-intercept & the gradient is - 1/3.

Gradient = rise /run

= 1/3

Hope this helps!

8 0

2 years ago

Read 2 more answers

(a) A random sample of 10 houses in a particular area, each of which is heated with natural gas, is selected and the amount of g

rewona [7]

Answer:

In average, houses in the particular area use 119,6 therms of gas during the month of January.

Step-by-step explanation:

The μ formula is:

μ= ΣXi/N

ΣXi= is the sum of each xi. xi is each observation in the sample.

N= Total number of observations.

For this case:

ΣXi= 125+103+118+ 109+ 122+ 82+ 99+ 138+ 151+ 149

ΣXi= 1196

N= 10

μ= 1196/10

μ= 119,6

In average, houses in the particular area use 119,6 therms of gas during the month of January.

5 0

3 years ago