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solniwko [45]
2 years ago
12

Help me, Illustrative Mathematics

Mathematics
1 answer:
Lerok [7]2 years ago
7 0

Answer:

1. 38kg=84lbs.

2. 6 oz.=170 g.

3.  180 gallons= 680 L

4.  29 cubic meters=1024 cubic feet

Step-by-step explanation:

<h3>Lin has a pet German Shepherd that weighs 38 when measured in one unit and 84 when measured in a different unit. Which measurement is in pounds, and which is in kilograms?</h3>

1 kg≈2.20462262lbs.

2.20462262x38≈83.7756596(pounds)

<h3>Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit. Which measurement is in ounces, and which is in grams?</h3>

1 oz.≈28.3495231 g.

28.3495231x6=170.097139(grams)

<h3>Behind Lin’s house, there is a kiddie pool that holds 180 or 680 units of water, depending on which unit you are using to measure. Which measurement is in gallons, and which is in liters?</h3>

1 gallon≈3.78541178 liters

3.78541178x180≈681.37412(liters)

<h3>Behind Elena’s house there is a portable storage container that holds 29 or 1024 units, depending on which unit you are using to measure. Which measurement is in cubic feet, and which is in cubic meters?</h3>

1 cubic meter≈35.3146667 cubic feet

35.3146667x29≈1024.12533 cubic feet

Hope I helped :)

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4 0
3 years ago
The equation h = -16t 2+ 53x + 8 gives the height h, in feet, of a football as a function of time t, in seconds, after it is kic
Elanso [62]

Answer: The maximum height the football reaches = 51.89 feet.

Step-by-step explanation:

Given: The equation h = -16t^2+ 53t + 8 gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked.

Differentiate the given equation, we get

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Put h'=0

\Rightarrow\ -32t+53=0\\\\\Rightarrow\ t=\dfrac{53}{32}\approx1.65625

Differentiate (i) w.r.t. t, we get

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Hence, the maximum height the football reaches = 51.89 feet.

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3 years ago
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