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2 years ago

B. Solve for the product of the following fractions. Express your answer in simples form.

Mathematics

1 answer:

sladkih [1.3K]2 years ago

5 0

Answer:

5/9
1/5
1/7
5/54
1/4
Hope it helps you

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Country A has a growth rate of 4.9% per year. The population is currently 4 comma 151,000, and the land area of Country A is 1

kvv77 [185]

Answer:

There will be one person on 1 square yard of land after 1,892,147.588 years.

Step-by-step explanation:

Continuous exponential growth formula:

$P(t)=Pe^{rt}$

P(t)= Population after t years.

P= Initial population

r=rate of growth.

t= time in year

Given that,

Growth rate of country A (r)= 4.9% per year=0.049 per year.

Initial population (P)= 151,000.

Land area of country area= 14,000,000,000 square yards.

There will be one person on one square yard of land.

So, there will be 14,000,000,000 person for 14,000,000,000 square yard of land in country A.

P(t)=14,000,000,000 person

$\therefore 14,000,000,000= 151,000 e^{0.049t}$

$\Rightarrow e^{0.049t}=\frac{ 14,000,000,000}{ 151,000}$

Taking ln both sides

$\Rightarrow ln|e^{0.049t}|=ln|\frac{ 14,000,000,000}{ 151,000}|$

$\Rightarrow {0.049t}=ln|\frac{ 14,000,000,000}{ 151,000}|$

$\Rightarrow t}=\frac{ln|\frac{ 14,000,000,000}{ 151,000}|}{0.049}$

$\Rightarrow t}=1,892,147.588$ years

There will be one person for every square yard of land after 1,892,147.588 years.

7 0

3 years ago

Karen drives straight south on Interstate 405 from the Santa Monica Freeway interchange going 10 miles per hour faster than Meli

natima [27]

Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.

<h3>Equation for speed</h3>

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance / time

Let a represent Karen speed and b represent Melinda speed, hence:

a = b + 10

a - b = 10 (1)

Also:

a = d₁ / 1

d₁ = a

b = d₂/ 1 hour

d₂ = b

Since they are 108 miles apart, using Pythagoras:

108² = d₁² + d₂²

a² + b² = 11664

(b + 10)² + b² = 11664

b = 71.2 mph, a = 81.2 mph

Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.

Find out more on speed at: brainly.com/question/4931057

5 0

1 year ago

What is the addition for -28+(-40)

Olin [163]

Answer:

-68

Step-by-step explanation:

-28 + - 40 =

2 + 4 = 6

8 + 0 = 8 making

-68

hope this helped

5 0

2 years ago

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Plz help me with a and b <br>who can answer in a minute

Irina18 [472]

(a) $\frac{1}{4}$
(b) The Road Tennis Court occupies $\frac{1}{3}$ of the shaded portion.

I hope it helps! ;)

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3 years ago

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Terms whose variables are the same are called what?

Ostrovityanka [42]

They are called like terms

8 0

3 years ago