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3 years ago

9

A total of 1,000 BTUs are needed to cool a space. If 2.5 BTUs are needed to cool 1 cubic foot of space, what is the maximum volu

me of space that 1,000 BTUs will cool?

1 answer:

padilas [110]3 years ago

4 0

Answer:

400 ft³

Step-by-step explanation:

Dimensional analysis can help you figure this out.

(1000 BTU)/(2.5 BTU/ft³) = (1000/2.5) ft³ = 400 ft³

1000 BTU can cool up to 400 cubic feet of space.

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(x^2-7x)^2+4(x^2-7x)-96 (x 2 −7x) 2 +4(x 2 −7x)−96

natita [175]

Answer:

answer...

Step-by-step explanation:

This is the answer.

6 0

2 years ago

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a t

Olin [163]

Answer:

large: 18.5 kg
small: 15.75 kg

Step-by-step explanation:

Let b and s represent the weights of the big and small boxes, respectively. Then the two delivered weights can be summarized as ...

5b +6s = 187

3b +2s = 87

We can eliminate the "s" variable by subtracting the first equation from 3 times the second:

3(3b +2s) -(5b +6s) = 3(87) -(187)

4b = 74 . . . . . collect terms

b = 18.5 . . . . . divide by 4

Using this value in the second equation, we find ...

3(18.5) +2s = 87

2s = 31.5 . . . . . . . . subtract 55.5

s = 15.75 . . . . . . . . divide by 2

The large box weighs 18.5 kg; the small box weighs 15.75 kg.

5 0

3 years ago

HELP ME PLEASE geometry only answer if you know please!

topjm [15]

Answer:

2. Reason: Addition Property of Equality

3. Statement: 3x=18

4. Reason: Division property of Equality

5. Statement: x=6 Reason: Simplifying.

Step-by-step explanation:

I'm pretty sure this is correct.

6 0

3 years ago

Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or go straight (S). Consider observing

Basile [38]

Answer:

a)

A={RRR,SSS,LLL}

b)

B={RSL,SLR,LRS,RLS,SRL,LSR}

c)

C={RRL,RLR,LRR,RRS,SRR,RSR}

d)

D={RRL, RRS, RLR, RLL, RSR, RSS, LRR, LRL, LLR, LLS, LSL, LSS, SRR, SRS, SLL, SLS, SSR, SSL}

e)

D'={RRR, RLS, RSL, LRS, LLL, LSR, SRL, SLR, SSS}

Step-by-step explanation:

Sample space=S= {RRR, RRL, RRS, RLR, RLL, RLS, RSR, RSL, RSS, LRR, LRL, LRS, LLR, LLL, LLS, LSR, LSL, LSS, SRR, SRL, SRS, SLR, SLL, SLS, SSR, SSL, SSS}

a)

Let A be the event that all three vehicles go in same direction. It means that the all three vehicles go to right or left or straight. Thus, event A can be represented as

A={RRR,SSS,LLL}

b)

Let B be the event that all three vehicles go in different direction. It means that the three vehicles can go to

1. Right, Straight, Left

2. Straight, Left, Right

3. Left, Right, Straight

4. Right, Left, Straight

5. Straight, Right, Left

6. Left, Straight, Right

Thus, event B can be represented as

B={RSL,SLR,LRS,RLS,SRL,LSR}

c)

Let C be the event that exactly two of three vehicles turn right. It means that the three vehicles can go to

1. Right, Right , Left

2. Right , Left, Right

3. Left, Right, Right

4. Right, Right , Straight

5. Straight, Right,Right

6. Right , Straight, Right

Thus, event C can be represented as

C={RRL,RLR,LRR,RRS,SRR,RSR}

d)

Let D be the event that exactly two of three vehicles go in same direction. It means that the three vehicles can go to

1. Right, Right, Left

2. Right, Right, Straight

3. Right, Left, Right

4. Right, Left, Left

5. Right, Straight, Right

6. Right, Straight, Straight

7. Left, Right, Right

8. Left, Right, Left

9. Left, Left, Right

10. Left, Left, Straight

11. Left, Straight, Left

12. Left, Straight, Straight

13. Straight, Right, Right

14. Straight, Right, Straight

15. Straight, Left, Left

16. Straight, Left, Straight

17. Straight, Straight, Right

18.Straight,Straight, Left

Thus, event D can be represented as

D={RRL, RRS, RLR, RLL, RSR, RSS, LRR, LRL, LLR, LLS, LSL, LSS, SRR, SRS, SLL, SLS, SSR, SSL}

e)

D'=S-D= {RRR, RRL, RRS, RLR, RLL, RLS, RSR, RSL, RSS, LRR, LRL, LRS, LLR, LLL, LLS, LSR, LSL, LSS, SRR, SRL, SRS, SLR, SLL, SLS, SSR, SSL, SSS} -{RRL, RRS, RLR, RLL, RSR, RSS, LRR, LRL, LLR, LLS, LSL, LSS, SRR, SRS, SLL, SLS, SSR, SSL}

D'={RRR, RLS, RSL, LRS, LLL, LSR, SRL, SLR, SSS}

8 0

3 years ago

P varies directly as q and inversely as y. One of the values is p=0.064 q=16 and y =5 find p when q=12 and y=10

Volgvan

P=0,024 K=0.02 IDK BROOOOOOOOOOOOOOOOOOOOOOOO

5 0

4 years ago