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Vitek1552 [10]
3 years ago
10

Thirty pounds of grass seed will cover 1\3 of an acre. Which unit rate describes this situation?

Mathematics
1 answer:
erik [133]3 years ago
7 0
As always, the "unit rate" can be written two ways. You have not specified which one you want.

.. (30 lb)/(1/3 ac) = 90 lb/ac

.. (1/3 ac)/(30 lb) = (1/90) ac/lb
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Help quick ❗️❗️ Which sequence of transformations will change did your PQRS to figure P’Q’R’S’?
babymother [125]

Answer:

Counterclockwise rotation about the origin by 90° followed by reflection over the Y-axis ⇒ answer (D)

Step-by-step explanation:

* Lets revise the reflection and the rotation of a point

- If point (x , y) reflected across the x-axis

∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

∴ Its image is (-x , y)

- If point (x , y) rotated about the origin by angle 90° counter clockwise

∴ Its image is (-y , x)

- If point (x , y) rotated about the origin by angle 90° clockwise

∴ Its image is (y , -x)

- If point (x , y) rotated about the origin by angle 180°

∴ Its image is (-x , -y)

* There is no difference between rotating 180° clockwise or  

anti-clockwise around the origin

- In our problem

# The vertices of the original figure are:

  P(1 , -3) , Q (3 , -2) , R (3 ,-3) , S (2 , -4)

# The vertices of the image are:

  P' (-3 , 1) , Q' (-2 , 3) , R' (-3 , 3) , S' (-4 , 2)

∵ x and y are switched

∴ The figure is rotated about origin by 90°

∵ The signs of the x-coordinates and the y-coordinates

   didn't change

∴ The rotation is followed by reflection, to know about which

   axis we must to find the images after the rotation

∵ P (1 , -3) ⇒ after rotation 90° counter clockwise is (3 , 1)

∵ Q (3 , -2) ⇒ after rotation 90° counter clockwise is (2 , 3)

∵ R (3 , -3) ⇒ after rotation 90° counter clockwise is (3 , 3)

∵ S (2 , -4) ⇒ after rotation 90° counter clockwise is (4 , 2)

* The images are P' (-3 , 1) , Q' (-2 , 3) , R' (-3 , 3) , S' (-4 , 2)

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∴ The rotation followed by reflection over the y-axis

* The answer is ⇒ Counterclockwise rotation about the origin

  by 90° followed by reflection over the Y-axis

7 0
3 years ago
Determine the average rate of change from 0 to 4 for the function f(x)=2^x-3
IrinaVladis [17]
If the question meant f(x)=2^(x) -3 then the answer should be 1 over 4 or 1/4
4 0
3 years ago
Women's heights average 65 inches with a standard deviation of 2.2 inches in a certain study. Use the 68-95-99.7 rule to determi
vodomira [7]

• We are told that the average height : Mean () = 65

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= {71.6 ; 58.4}

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3 0
1 year ago
3. Jim bought a new pair of glasses. The lenses had six sides. The lenses were in the shape of a A. hexagon. B. heptagon. C. qua
Vladimir [108]
Best Answer:<span>  </span><span>6 sides is a hexagon. 

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that's it! ;)</span>
5 0
3 years ago
I don't understand this. please help me, much appreciated !!
nevsk [136]

Apparently, the calculator at the link in your lesson is fully capable of giving you the necessary numbers. My own TI-84 work-alike gives me the account balances, but the rest of the numbers need to be figured.

In 30 years, there are 12×30 = 360 months, or 4×30 = 120 quarters. See the calculator results below. Your table can be filled in using the given information to find the contribution amount. The calculator gives the final balance. The interest amount is found by subtracting the contribution amount from the final balance.

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3 0
3 years ago
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