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vaieri [72.5K]
3 years ago
6

What is the sum of the first 7 terms of the series −4+8−16+32−... ?

Mathematics
1 answer:
blondinia [14]3 years ago
4 0

The terms appear to increase by a multiple of -2. The first 7 terms are:

-4 + 8 + -16 + 32 + -64 + 128 + -256. Add these together.

The sum of these numbers is -172.

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The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute. a 2-row table with 10
olga nikolaevna [1]

According to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.

<h3>What is linear regression?</h3>

Linear regression is a type of regression which is used to model the statement in which the growth or decay initially with constant rate, and then slow down with respect to time.

The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute. a 2-row table with 10 columns.

  • Time (minutes X)                 0, 0.5,1.0, 1.5, 2.0,2.5,3.0, 3.5, 4,  4.5.
  • Temperature (° Celsius Y)  75, 79, 83, 86, 89, 91, 93,  94, 95, 95.5.

The sum of time is 22.5 and the sum of temperature value is 880.5. In this table,

  • The mean of time value, 2.25.
  • The mean of temperature value 88.05
  • Sum of squares 20.625
  • Sum of products 93.625

The regression equation for this data can be given as,

\hat y=4.53939 X+77.83636

Put the value of temperature (y) 100 in this equation.

100=4.53939 X+77.83636\\X=\dfrac{100-77.83636}{4.53939}\\X\approx 5

Hence, according to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.

Learn more about the regression here;

brainly.com/question/25226042

4 0
1 year ago
How to do this type of questions
neonofarm [45]
The pattern is +5 +5 -1 +6 So the answer should be (B) 30,29,35
3 0
3 years ago
What’s the correct answer
tamaranim1 [39]
The correct answer might be A
5 0
3 years ago
Beth filled 72 jars with paint. If each jar holds 1 pint of paint, how many gallons of paint did beth use?
Paul [167]

Answer:

9 gallons were used

Step-by-step explanation:

There are 8 pints to 1 gallon

72 jars holding 1 pint each means 72 pints total

72/8=9

Beth used 9 gallons

P.S. Can I get brainlist

5 0
2 years ago
Read 2 more answers
Two​ trains, Train A and Train​ B weigh a total of 479 tons. Train A is heavier than Train B. The difference of their weights is
Marysya12 [62]

Answer:

A= 429

B= 50

Explanation:

A+B= 479 (take away)

A-B= 379

A-A+B+B= 479-379 (simplify)

2B= 100

I think you know how to do it now..

B=50

A=50+379 ---> 429

This is the substitution method, there are other ways of doing it- and I tried to make this simple. Hope this helped!

3 0
3 years ago
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