Pls help is ratio numbers

What is 4 15/24 as a decimal

MAVERICK [17]

Answer:

4.625

Step-by-step explanation:

All you do is divide 15/24 and then add the four before the decimal, and BOOM there is your answer! Good Day!

7 0

3 years ago

Read 2 more answers

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

a rocket was launched into the air from a platform above the ground. The height, in feet, of the rocket above the ground t secon

vova2212 [387]

For this case we have the following expression:
h (t) = -16t ^ 2 + 64t + 80
For t = 0 we have:
h (0) = -16 (0) ^ 2 + 64 (0) + 80
h (0) = -0 + 0 + 80
h (0) = 80 feet
Therefore the number 80 represents the initial height of the rocket
Answer:
the 80 in the expression represented:
the initial height of the rocket

5 0

3 years ago

The three angles of a triangle measure 2x – 6, 3x + 5, and 2x + 20. What is the measure of the smallest angle in degrees

Radda [10]

Answer:

Smallest angle = 40

Step-by-step explanation:

Angle sum property:Sum of all three angles of triangle is 180

2x - 6 + 3x + 5 + 2x + 20 = 180 {Combine like terms}

2x + 3x + 2x - 6 + 5 + 20 = 180

7x + 19 = 180 {Subtract 19 from both sides}

7x = 180 - 19

7x = 161 {Divide both sides by 7}

x = 161/7

x = 23

2x - 6 = 2*23 - 6 = 46 - 6 = 40

3x + 5 = 3*23 + 5 = 69 + 5 = 74

2x + 20 = 2*23 + 20 = 46 + 20 = 66

Smallest angle = 40

8 0

3 years ago

Kaylee put a rectangular sticker on her notebook. The sticker is 1 inch wide and 5 inches long. What area of the notebook does t

kati45 [8]

Answer:

5

Step-by-step explanation:

The area of a rectangle is given by base x height = 1 x 5 = 5

6 0

3 years ago