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elena55 [62]
3 years ago
6

Isaac buys water to make tea for all his friends. He buys 1 quart of water and 1/8 gallon of water . How many cups of water does

he buy?
Mathematics
1 answer:
Aliun [14]3 years ago
7 0

Answer:

6 cups.

Step-by-step explanation:

1 quart of water = 4 cups.

1/8 gallon of water = 2 cups.

4 + 2 = 6 cups

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QUESTION 1
Kitty [74]

It's difficult to make out what the force and displacement vectors are supposed to be, so I'll generalize.

Let <em>θ</em> be the angle between the force vector <em>F</em> and the displacement vector <em>r</em>. The work <em>W</em> done by <em>F</em> in the direction of <em>r</em> is

<em>W</em> = <em>F</em> • <em>r</em> cos(<em>θ</em>)

The cosine of the angle between the vectors can be obtained from the dot product identity,

<em>a</em> • <em>b</em> = ||<em>a</em>|| ||<em>b</em>|| cos(<em>θ</em>)   ==>   cos(<em>θ</em>) = (<em>a</em> • <em>b</em>) / (||<em>a</em>|| ||<em>b</em>||)

so that

<em>W</em> = (<em>F</em> • <em>r</em>)² / (||<em>F</em>|| ||<em>r</em>||)

For instance, if <em>F</em> = 3<em>i</em> + <em>j</em> + <em>k</em> and <em>r</em> = 7<em>i</em> - 7<em>j</em> - <em>k</em> (which is my closest guess to the given vectors' components), then the work done by <em>F</em> along <em>r</em> is

<em>W</em> = ((3<em>i</em> + <em>j</em> + <em>k</em>) • (7<em>i</em> - 7<em>j</em> - <em>k</em>))² / (√(3² + 1² + 1²) √(7² + (-7)² + (-1)²))

==>   <em>W</em> ≈ 5.12 J

(assuming <em>F</em> and <em>r</em> are measured in Newtons (N) and meters (m), respectively).

3 0
3 years ago
PLEASE HELP ME WITH THIS!! ILL GIVE BRAINLIEST.
LekaFEV [45]

Answer:

See below.

Step-by-step explanation:

A correct.

B correct.

C correct.

D correct.

E incorrect.

F correct.

G incorrect.

H correct.

I incorrect.

J incorrect.

K correctt.

-hope it helps

4 0
2 years ago
What is 0.325 written as a percent?
bezimeni [28]

Answer:

32.5%

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A rectangular prism has dimensions of 2 ft, 4 ft, and 6 ft. If the dimensions are doubled, what would happen to the volume?
kondor19780726 [428]

Answer:

Volume is increased in a factor of 8. The volume is increased from 48\,ft^{3} to 384\,ft^{3}.

Step-by-step explanation:

The formula for the volume of the rectangular prism is:

V = w\cdot h \cdot l

Where:

w - Width

h - Height

l - Length

If dimensions are doubled, then volume is increased in a factor of 8:

V_{f} = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)

V_{f} = 8\cdot w \cdot h \cdot l

V_{f} = 8 \cdot V_{o}

The volume is increased from 48\,ft^{3} to 384\,ft^{3}.

3 0
3 years ago
For every 10 cars in a parking lot there are 12 trucks. What is the ratio of cars to total vehicles in the parking lot?
Zinaida [17]

Answer:

12:10

Step-by-step explanation:

4 0
3 years ago
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