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3 years ago

Expression for: 9 less than twice r is written asA. 9-2rB. 2r-9C. 2r +9D. r-9

Mathematics

2 answers:

dedylja [7]3 years ago

8 0

Answer:

its number b i am sure thank me later

Marta_Voda [28]3 years ago

7 0

Answer:

B. 2r-9

Step-by-step explanation:

as 9 is less than 2r

9<2r

hope it helps

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The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased

taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula $P(t)=466\cdot 1.035^t$ , which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

$900=466\cdot 1.035^t$

$\frac{900}{466}=\frac{466\cdot 1.035^t}{466}$ $1.9313304721030043=1.035^t$

Take natural log of both sides:

$\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)$

$0.658209129198=t\cdot 0.034401426717$

$\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}$

$19.1331927775=t\\\\t=19.1331927775$

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

$1990+20=2010$

Therefore, 900 million passengers would travel by airline in 2010.

6 0

2 years ago

The length of a rectangular garden is represented by 3x-4 and the width is represented by 2x-5. Which of the following represent

lisabon 2012 [21]

Well area of a rectangle is given by the equation

a = L x W

Since they give us the expression for length and width we can find the expression for the area...

a = (3x - 4) x (2x - 5) or simply
a = (3x -4)(2x - 5)

Now we multiply

6x^2 - 15x - 8x + 20 =
6x^2 - 23x + 20

Your answer is C.

8 0

3 years ago

6. (5 points) What is 3loga + logb − logc written as a single logarithm?

Jobisdone [24]

Answer: $log(\frac{a^3b}{c})$