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Kamila [148]
3 years ago
14

On Tuesday, the temperature in Fairfield, Montana fell from 51 degrees Fahrenheit at noon to -9 degrees. Fahrenheit at midnight.

Find the change in temperature between noon and midnight.
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0

Answer:

4.333 deg f

Step-by-step explanation:

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In order, what are the 5 steps taken to solve a scaling problem?
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8 0
3 years ago
Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms
miv72 [106K]

<u>Hint </u><u>:</u><u>-</u>

  • Break the given sequence into two parts .
  • Notice the terms at gap of one term beginning from the first term .They are like \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8} . Next term is obtained by multiplying half to the previous term .
  • Notice the terms beginning from 2nd term , 4,7,10,13 . Next term is obtained by adding 3 to the previous term .

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8} .

We can see that this is in <u>Geometric</u><u> </u><u>Progression </u> where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]

Notice the term \dfrac{1}{2^{25}} will be too small , so we can neglect it and take its approximation as 0 .

\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]

\\\implies \boxed{ S_1 \approx 1 }

\rule{200}2

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

\implies S_2=\dfrac{n}{2}[2a + (n-1)d]

Substitute ,

\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}

Hence sum = 908 + 1 = 909

7 0
2 years ago
The equation of a line is given below . 6x+2y =-18 find the x intercept and the y intercept
vova2212 [387]

Answer: x intercept is -3

y intercept is -9

Step-by-step explanation: 6(0) = 2y=-18, divide both sides by 2, get -9 as a y intercept

6x+2(0)=-18

divide both sides by 6, and get -3 as an x intercept

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2 years ago
Mrs. Mobley can jog 3 miles in 27 minutes. How many miles can she jog in 81 minutes?
zalisa [80]

Answer:

9 miles

Step-by-step explanation:

You need to get 27 minutes to 81 minutes so you multiply 27 by 3, and that is 81, so you simply multiply 3 by 3 and get 9! Hope this helps! ;)

(27 x 3) = 81

(3 x3) = 9

3 0
2 years ago
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