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lara [203]
3 years ago
7

Write your answer in simplest radical form​

Mathematics
1 answer:
Ann [662]3 years ago
4 0

Answer:

5 \sqrt{2 }

Step-by-step explanation:

In a 45 45 90 triangle, the hypotenuse is equal to

x \sqrt{2}

where x is the length of a leg of the triangle

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The fish population of Lake Collins is decreasing at a rate of 5% per year. In 2004 there were about 1,350 fish. Write an expone
ad-work [718]

Answer:

Part 1) The exponential function is equal to y=1,350(0.95)^{x}

Part 2) The population in 2010 was  992\ fish

Step-by-step explanation:

Part 1) Write an exponential decay function that models this situation

we know that

In this problem we have a exponential function of the form

y=a(b)^{x}

where

y ----> the fish population of Lake Collins since 2004

x ----> the time in years

a is the initial value

b is the base

we have

a=1,350\ fish

b=(100\%-5\%)=95\%=0.95

substitute

y=1,350(0.95)^{x} ----> exponential function that represent this scenario

Part 2) Find the population in 2010

we have

y=1,350(0.95)^{x}

so

For x=(2010-2004)=6\ years

substitute

y=1,350(0.95)^{6}=992\ fish

7 0
3 years ago
Oranges cost $3.60 per dozen how much does 1 cost?
castortr0y [4]

If 6 oranges cost 3.60 than one orange costs .60. To find, divide total price by number of oranges.

3.60/6 = .60

There is no set of pound in a gallon because we do not know the substance. Different liquids weigh different amounts.

3.5 gallons is equal to 448 ounces. To find, multiply the number of gallons (3.5) by the amount of ounces in a gallon (128)

3.5 * 128 = 448

Pound and pints are like gallons and pound. Unless we know the substance we cannot solve.

.75 pints is equal to 12 ounces. To find that, we multiply the number of pints (.75) by the number of ounces in a pint (16)

.75 * 16 = 12

6 0
3 years ago
Amira is painting a rectangular banner 2 1/4 yards wide in the cafeteria. The banner will have a blue background. Amira has enou
elena55 [62]
Area of a rectangle:
A = w x h, where w is the width and h is the height.
w = 2.25 yd
A = 1.5 yd²
1.5 = 2.25 · h
h = 1.5 : 2.25 = 0.6667 = 2/3 yd
Answer:
The height of a banner is 2/3 yard.
4 0
3 years ago
Read 2 more answers
Given that<br>F1 = 50 N<br>r1= 3 m<br>r2 = 2 m<br>The beam does not move. How large is force F2?​
Phoenix [80]

Answer:

6m

Step-by-step explanation:

If it doesn't move it's just the same force

5 0
3 years ago
Joey traveled 150 miles in 212 hours. Which expression gives Joey's speed in miles per hour?
Svetradugi [14.3K]

Answer:

0.7 miles per hour

Step-by-step explanation:

To find a speed in miles per hour, divide the number of miles by the number of hours.

150/ 212 = 0.7 miles per hour

4 0
3 years ago
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