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Assoli18 [71]
2 years ago
7

Pablo and Johanna have to do a yearlong study for their biology course. After some discussion, they decide to try comparing thei

r dogs and the diet that they feed them to test their hypothesis that the local veterinarian's special dog food mix will enhance growth and development. Each student adopts a puppy from the local pound. Pablo plans to feed his shepherd-mix dog the special diet, while Johanna plans to use generic dry kibble from the supermarket for her bulldog. The independent variable in this study will be ________.
Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
6 0

Answer:

The type of food they are feeding the dog.

Step-by-step explanation:

The independent variable is the test variable of the experiment. Therefore, you can see that Pablo and Johanna both use different types of food to feed their dogs, to see which one grows faster. The growing faster is the dependent variable because how fast the dogs grow is what is being measured.

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A water trough has two congruent isosceles trapezoids as ends and two congruent rectangles as sides.
BlackZzzverrR [31]

Answer:

Part a) The exterior surface area is equal to 160\ ft^{2}

Part b) The volume is equal to 240\ ft^{3}

Part c) The volume water left in the trough will be 84\ ft^{3}

Step-by-step explanation:

Part a) we know that

The exterior surface area is equal to the area of both trapezoids plus the area of both rectangles

so

<em>Find the area of two rectangles</em>

A=2[12*5]=120\ ft^{2}

<em>Find the area of two trapezoids</em>

A=2[\frac{1}{2}(8+2)h]

Applying Pythagoras theorem calculate the height h

h^{2}=5^{2}-3^{2}

h^{2}=16

h=4\ ft

substitute the value of h to find the area

A=2[\frac{1}{2}(8+2)(4)]=40\ ft^{2}

The exterior surface area is equal to

120\ ft^{2}+40\ ft^{2}=160\ ft^{2}

Part b) Find the volume

We know that

The volume is equal to

V=BL

where

B is the area of the trapezoidal face

L is the length of the trough

we have

B=20\ ft^{2}

L=12\ ft

substitute

V=20(12)=240\ ft^{3}

Part c)

<em>step 1</em>

Calculate the area of the trapezoid for h=2 ft (the half)

the length of the midsegment of the trapezoid is (8+2)/2=5 ft

A=\frac{1}{2}(5+2)(2)=7\ ft^{2}

<em>step 2</em>

Find the volume

The volume is equal to

V=BL

where

B is the area of the trapezoidal face

L is the length of the trough

we have

B=7\ ft^{2}

L=12\ ft

substitute

V=7(12)=84\ ft^{3}

4 0
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Adam reduces a 14 inch long document on the photocopier. The copy is 0.6 times as long. The type on the reduced document is too
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14 inch document....it is reduced to 0.6 times as long...
14 * 0.6 = 8.4 inches long
it is too small, so he enlarges it 1.4 times...
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Alexis has a rectangular piece of red paper that is 4 cm wide its length is twice its width she Glooze a rectangular r Alexis ha
UNO [17]

Are you looking for the area or the perimeter?

Perimeter: 24

Area: 32

Hope this helped!

-TTL

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2 years ago
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<span>(7y2 + 6xy) – (–2xy + 3)

7y^2 + 6xy +2xy +3

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Answer:

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