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LenaWriter [7]
3 years ago
11

during the winter months, freshwater fish sense the water getting colder and swim to the bottom of lakes and rivers to find warm

er water.if a fish swims 7/8 of the depth of a 32-feet lake,how many feet did the fish swim
Mathematics
1 answer:
Jlenok [28]3 years ago
4 0

Answer: 28 feet.


Step-by-step explanation:

Given: During the winter months, freshwater fish sense the water getting colder and swim to the bottom of lakes and rivers to find warmer water.

The total depth of the lake = 32 feet

Since, fish swims 7/8 of the depth, then the depth of lake to which the fish swim=\frac{7}{8}\times32\ feet

Since, 32\div8=4

therefore, \frac{7}{8}\times32=7\times4=28

Hence, the fish swim 28 feet in lake.


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What is the equation of the line that is perpendicular to the line through (1,-4) and (-2,2) and passes through the x-intercept
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Answer:

y=-\frac{1}{2}x+\frac{3}{2}

Step-by-step explanation:

First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find

m=(y2-y1)/(x2-x1)

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in this equation the slope is 2, and to find the first equation, use y=mx+b

use the point (1, -4) to find b

-4=(2)(1)+b

-4=2+b

b=-6

the first equation of the line is y=2x-6

to find the x intercept of that line substitute 0 for y

0=2x-6

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x=3

the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2

for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b

y=mx+b

0=(-1/2)(3)+b

b=3/2

thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=-\frac{1}{2}x+3/2

8 0
2 years ago
What number is 9 more than 45
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3 years ago
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1. You have three standard decks of cards in front of you. What is the probability of drawing a heart card from all three decks?
Paladinen [302]

Answer:

1.56%

Step-by-step explanation:

A standard deck of cards has 52 cards, and 13 of these are hearts, as there are 4 suits, and 52/4=13. This means the probability of choosing a heart card from a deck of cards is 1/4, or 25%. Now to find the probability of doing this from 3 decks in a row, we simply cube 1/4 to get 1/64, and in percentage this is ~1.56%.

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This question is WORTH 15 POINTS
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3x² - 33x - 180 = 0
3(x² - 11x - 60) = 0
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3(x + 4)(x - 15) = 0
3(x - 4) = 0 or x - 15 = 0
3x - 12 = 0     <u>  + 15  + 15</u>
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