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Sauron [17]
3 years ago
6

for 8 days of very hot weather, the water level in a lake dropped 3 inches per day. on the ninth day, storms raised the level 6

inches. Write and find the value of an expression for the change in the water level of the lake during these 9 days.
Mathematics
2 answers:
kumpel [21]3 years ago
8 0
-(3*8)+6=-18

the water level decreased by 18 inches.
Art [367]3 years ago
7 0

Answer:

During the span of 9 days, the water level of lake decreased by 18 inches.      

Step-by-step explanation:

We are given the following information in the question:

For 8 hot days, the water level decreased in a lake at rate of 3 inches per day.

Then on day 9, there was a storm that increased the water level by 6 inches.

Total drop in water level in lake =

\text{Number of days}\times \text{Rate of drop in water level per day}\\= 8\times 3\text{inches per day}\\=24\text{ inches}

Expression for the change in the water level =

\text{Increase in water level in 9 days} - \text{Decrease in water level during 9 days}\\=6 - 24\\ = -24 + 6 = -18\text{ inches}

Hence, during the span of 9 days, the water level of lake decreased by 18 inches.

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3u - 2v + w gives the resultant vector as; <49, 19>

8u - 6v gives the resultant vector as; <184, 60>

7v - 4w gives the resultant vector as; <61, 104>

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<h3>How to find the resultant of vectors?</h3>

We are given the vectors;

u = 11i + 12j

v = -16i + 6j

w = 4i - 5j

1) 3u - 2v + w gives the resultant vector as;

3(11i + 12j) - 2(-16i + 6j) + 4i - 5j

⇒ 33i + 36j + 32i - 12j + 4i - 5j

⇒ 49i + 19j

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2) 8u - 6v gives the resultant vector as;

8(11i + 12j) - 6(-16i + 6j)

⇒ 88i + 96j + 96i - 36j

⇒ 184i + 60j

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7(11i + 12j) - 4(4i - 5j)

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4) u - 5w gives the resultant vector as;

11i + 12j - 5(4i - 5j)

11i + 12j - 20i + 25j

-9i + 37j

Read more about Resultant Vectors at; brainly.com/question/110151

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