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3 years ago

A line crosses the coordinates (-3,5) and (4,-2). What is the slope of the line?

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

8 0

Answer:

Slope = -1

Step-by-step explanation:

$\frac{-2-5}{4-(-3)}=\frac{-7}{7} =-1$

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Let the smallest of 4 consecutive odd numbers be 2 n + 1 , where n is an integer. Show, using algebra, that the sum of any 4 con

andrey2020 [161]

Answer:

Expression is 8(n+2)

Step-by-step explanation:

smallest of 4 consecutive odd numbers =2n + 1

consecutive odd integers are found by adding 2 to the any given odd numbers

Thus, 2nd consecutive odd integers = 2n + 1 + 2 = 2n + 3

3rd consecutive odd integers = 2n + 3 + 2 = 2n + 5

2nd consecutive odd integers = 2n + 5 + 2 = 2n + 7

Thus, 4 consecutive odd integers are

2n + 1 ,2n + 3,2n + 5,2n + 7

sum of these numbers are = 2n + 1 +2n + 3 + 2n + 5+2n + 7 = 8n+16

sum of these numbers are = 8(n+2)

Thus, we see that the sum of numbers are 8(n+2)

As, 8 is common for n+2, whatever is value of n, the number will be multiple of 8 .

thus expression is 8(n+2)

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3 years ago

One survey estimates that, on average, the retail value of a mid-sized car decreases by 8% annually. If the retail value of a ca

bagirrra123 [75]

Value in 1 year = V*(0.92)

5 0

3 years ago

Read 2 more answers

Convert 200 centimeters into kilometers

Temka [501]

200 centimetes converted to kilometers = 0.002

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3 years ago

The number of nails of a given length is normally distributed with a mean length of 5 in and a standard deviation of 0.03 find t

umka2103 [35]

Answer:

19 nails

Step-by-step explanation:

Let's first determine the z-score by using the formula:

$z=\frac{x-\mu}{\sigma}$

Where x=5.03, μ=5, σ=0.03 and so:

$z=\frac{5.03-5}{0.03}=1$

We can now use a z-score table to determine that 1.00 is synonymous with 0.8413 meaning 84.13%. This means that 84.13% of the nails are less than or equal to 5.03 inches long. Therefore, since we know 100% = 1 in decimals we can determine that the length greater than 5.03 inches is 1-0.8413=0.1587. This means that 15.87% of the 120 nails are greater than 5.03 inches long.

Finally, we can determine how many nails are greater than 5.03 by determining what is 15.87% of 120 which is:

$120 \times 0.1587 \approx 19$

And so 19 out of the 120 nails are greater than 5.03 inches long.

5 0

3 years ago

I need an answer asap

eduard

Answer: The answer is 120

Step-by-step explanation: you add 50+70 and u will get 120

7 0

3 years ago