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3 years ago

On each of ner birthdays. Bernadette blew out a number of candles

Mathematics

1 answer:

marissa [1.9K]3 years ago

4 0

Answer:

5778

Step-by-step explanation:

1+2+3+4+5+....+105+106+107

The sequence of numbers (1, 2, 3, … , 107) is arithmetic and when we are looking for the sum of a sequence, we call it a series. Thanks to Gauss, there is a special formula we can use to find the sum of a series:

S=n(n+1)/2=11556÷2=5778

S is the sum of the series and n is the number of terms in the series, in this case, 107

There are other ways to solve:

This is an arithmetic series, for which the formula is:

S = n[2a+(n-1)d]/2

where a is the first term, d is the difference between terms, and n is the number of terms.

For the sum of the first 107 whole numbers:

a = 1, d = 1, and n = 107

Therefore, sub into the formula:

S = 107[2(1)+(107-1)(1)]/2 =

107(2+106)/2=107*108/2=5778

so she blow out 5778 candless during her lifetime

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What is pi and why is it important

Allushta [10]

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5 0

3 years ago

A visual-effects model maker for a movie draws a spaceship using a ratio of 1 : 24. The drawing of the spaceship is 22 inches lo

Kay [80]

Answer:

Length of spaceship in movie = 528

Step-by-step explanation:

Given that:

Drawing ratio of spaceship = 1 : 24

It means that 1 inch on drawing equals 24 inches in movie

Drawing of spaceship = 22 inches

Length of spaceship in movie = x

As the relationship is proportional,

1 : 24 :: 22 : x

Product of mean = Product of extreme

24*22 = x

x = 528

Hence,

Length of spaceship in movie = 528

8 0

3 years ago

A bacteria culture contains 1500 bacteria initially and doubles every hour. (a) Find a function N that models the number of bact

Tpy6a [65]

Answer: a) $N(t)=1500(2)^t$

b) 25165824000

Step-by-step explanation:

The exponential equation for growth is given by :-

$y= ab^t$ , where a= initial value , b =multiplicative growth factor and t = time.

Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.

i.e. a = 1500 and b= 2

Then, the function N that models the number of bacteria after t hours will be :

$N(t)=1500(2)^t$

To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get

$N(24)=1500(2)^{24}\\\\=1500(16777216)=25165824000$

Hence, the number of bacteria after 24 hours is 25165824000.

7 0

3 years ago

Andy wants to buy a refrigerator for $769, a stove for $359, and a dishwasher for $309. round each cost to the nearest hundred t

Fiesta28 [93]

769 rounded to nearest 100 = 800

359 rounded to nearest 100 = 400

309 rounded to nearest 100 = 300

800 + 400 + 300 = $1,500 estimated total cost

Please mark brainliest

3 0

3 years ago

What is the value of x?<br><br>enter your answer in the box<br><br>X__

vfiekz [6]

<h3>Answer: x = 5</h3>

=====================

Work Shown:

Angle Bisector Theorem

9/(2x-1) = 15/3x

9*3x = 15(2x-1) ... cross multiply

27x = 30x-15

27-30x = 30x-15-30x ... subtract 30x from both sides

-3x = -15

-3x/(-3) = -15/(-3) .... divide both sides by -3

x = 5

6 0

3 years ago