0.0417 in scientific notation

Find the sum of the series and show your process for finding each term leading to the final sum.

Crazy boy [7]

ANSWER

$\sum_{k=3}^5( - 2k + 5) = - 9$

EXPLANATION

The given series is

$\sum_{k=3}^5( - 2k + 5)$

This series is finite.

The expanded form is

$\sum_{k=3}^5( - 2k + 5) = ( - 2 \times 3 + 5) + ( - 2 \times 4 + 5) + ( - 2 \times 5 + 5)$

This simplifies to

$\sum_{k=3}^5( - 2k + 5) = ( - 6 + 5) + ( - 8+ 5) + ( - 10+ 5)$

$\sum_{k=3}^5( - 2k + 5) = ( - 1) + ( - 3) + ( - 5)$

$\sum_{k=3}^5( - 2k + 5) = - 9$

5 0

2 years ago

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money an

Alenkasestr [34]

Answer:

The money each boy had after buying his ticket is $2.50.

Step-by-step explanation:

Given:

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket.

Now, to find the money each boy had after buying his ticket.

Let the money each boy had after buying his ticket be $x.$

Total number of boys = 4.

Total money they had = $40.

Money each boy spent = $7.50.

Now, to write an equation:

$4(x+7.50)=40$

Now, to solve the equation for getting the money each boy had after buying his ticket:

$4(x+7.50)=40$

$4x+30=40$

Subtracting both sides by 30 we get:

$4x=10$

Dividing both sides by 4 we get:

$x=\$2.50.$

Therefore, the money each boy had after buying his ticket is $2.50.

3 0

3 years ago

Given the function, g(x)=5x^5/x^3-2x+1, choose the correct horizontal asymptote. none y = 0 y = 1 y = 3

viktelen [127]

Answer: NONE

Step-by-step explanation:

Consider that m is the degree of the numerator and n is the degree of the denominator.

The rules for horizontal asymptote (H.A.) are as follows:

If m > n then no H.A. (use long division to find the slant asymptote)

If m = n then H.A. is y = leading coefficient of numerator/leading coefficient of denominator

If m < n then H.A. is y = 0

Given: g(x) = 5x⁵/(x³ - 2x + 1)

--> m = 5, n = 3

Since m > n then there is no H.A.

8 0

2 years ago

Owen is 147.3 cm tall

melomori [17]

Owen is aroumd 4.87 feet tall also.

3 0

3 years ago

Let H be an upper Hessenberg matrix. Show that the flop count for computing the QR decomposition of H is O(n2), assuming that th

aleksley [76]

Answer:

Answer is explained in the attached document

Step-by-step explanation:

Hessenberg matrix- it a special type of square matrix,there there are two subtypes of hessenberg matrix that is upper Hessenberg matrix and lower Hessenberg matrix.

upper Hessenberg matrix:- in this type of matrix zero entries below the first subdiagonal or in another words square matrix of n\times n is said to be in upper Hessenberg form if ai,j=0

for all i,j with i>j+1.and upper Hessenberg matrix is called unreduced if all subdiagonal entries are nonzero

lower Hessenberg matrix:- in this type of matrix zero entries upper the first subdiagonal,square matrix of n\times n is said to be in lower Hessenberg form if ai,j=0 for all i,j with j>i+1.and lower Hessenberg matrix is called unreduced if all subdiagonal entries are nonzero.

8 0

3 years ago