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3 years ago

Why can't 1.07 be a strong positive correlation?

Mathematics

1 answer:

sineoko [7]3 years ago

4 0

It cannot because it is almost a perfect correlation, and its not a high enough correlation.

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If f(x)=-2x+5, what is f(-3x) equal to?

jekas [21]

Answer:

$f(-3x) = 6x + 5$

Step-by-step explanation:

<u>Step 1: Substitute -3x for x</u>

<u /> $f(x) = -2x + 5$

$f(-3x) = -2(-3x) + 5\\$

$f(-3x) = 6x + 5$

Answer: $f(-3x) = 6x + 5$

8 0

3 years ago

What is the solution to the linear equation 6k+10.5=3k+12

satela [25.4K]

Answer:

k = 0.5

Step-by-step explanation:

3 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

Which expression is equivalent to 2^2divided by 2/2^4

Gnesinka [82]

Answer: 32

Step-by-step explanation:

The expression that is equivalent to 2^2 divided by 2/2^4 would be calculated as:

= 2^2 ÷ 2/2^4

= 4 ÷ 2/16

= 4 ÷ 1/8

= 4 × 8

= 32

The expression would be equal to 32 based on the above calculation

4 0

2 years ago

WILL GIVE BRAINLIEST!

il63 [147K]

Answer:

15, 17, 19

Step-by-step explanation:

let the first odd number be n then the next 2 are n + 2 and n + 4 , then

n + n + 2 + n + 4 = 51

3n + 6 = 51 ( subtract 6 from both sides )

3n = 45 ( divide both sides by 3 )

n = 15

Then

n + 2 = 17 and n + 4 = 19

The 3 consecutive odd numbers are 15, 17, 19

8 0

2 years ago