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3 years ago

Expressed in simplified radical form what is the value of √r-√16r when r=2

Mathematics

1 answer:

Ket [755]3 years ago

5 0

Answer:

- 3 $\sqrt{2}$

Step-by-step explanation:

using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

simplifying $\sqrt{16r}$ when r = 2

= $\sqrt{32}$

= $\sqrt{16(2)}$

= $\sqrt{16}$ × $\sqrt{2}$ = 4 $\sqrt{2}$ , hence

$\sqrt{2}$ - 4 $\sqrt{2}$ = - 3 $\sqrt{2}$

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Write which place to use when comparing the numbers 3,176 & 3,472

bulgar [2K]

Answer:

Step-by-step explanation:

To compare 3,176 and 3,472 using the number line, remember how numbers appear on a number line:

Smaller numbers are to the left, and larger numbers are to the right.

but since both is in the 3,000 just make sure one is on the left and find out where the bigger one goes on the right

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3 years ago

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Q. Ross and Chandler go to Taco Land and order sodas for a total of $3.50.

ICE Princess25 [194]

Answer:1.75t + 3.50 ≤ 20

Step-by-step explanation:hope this helps :)

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3 years ago

What number is five million eight thousand four hundred five

Eddi Din [679]

Answer:

This number is 5008405

Step-by-step explanation:

five million = 5000000

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3 years ago

What is the driving time for a 2100-mile trip if you drive at an average speed of 45 miles per hour?

riadik2000 [5.3K]

Answer:

46 hours and 42 minutes

Step-by-step explanation:

2100/45 = 46.7

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Hopefully this helps you :)

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4 years ago

1. The number of rabbits on an island is increasing exponentially.

Zina [86]

Answer:

<em>There are approximately 114 rabbits in the year 10</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

$P=P_o(1+r)^t$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

We are given two measurements of the population of rabbits on an island.

In year 1, there are 50 rabbits. This is the point (1,50)

In year 5, there are 72 rabbits. This is the point (5,72)

Substituting in the general model, we have:

$50=P_o(1+r)^1$

$50=P_o(1+r)\qquad\qquad[1]$

$72=P_o(1+r)^5\qquad\qquad[2]$

Dividing [2] by [1]:

$\displaystyle \frac{72}{50}=(1+r)^{5-1}=(1+r)^{4}$

Solving for r:

$\displaystyle r=\sqrt[4]{\frac{72}{50}}-1$

Calculating:

r=0.095445

From [1], solve for Po:

$\displaystyle P_o=\frac{72}{(1+r)^5}$

$\displaystyle P_o=\frac{72}{(1.095445)^5}$

$P_o=45.64355$

The model can be written now as:

$P=45.64355(1.095445)^t$

In year t=10, the population of rabbits is:

$P=45.64355(1.095445)^{10}$

P = 113.6

$P\approx 114$

There are approximately 114 rabbits in the year 10

5 0

3 years ago