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3 years ago

Show your mastery of equivalent and simplifying fractions by using the sketchpad below to write the fraction

Mathematics

1 answer:

Sphinxa [80]3 years ago

3 0

Answer: 2/3 (two thirds)

Explanation: Divide both denominator and numerator by the common factor of fourteen

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Las casas del lado de la calle donde vive karina llenen todos los numeros pares la primera casa de la calle es el numero 200 y l

inysia [295]

Answer:

Step-by-step explanation:

count only the pair numbers between 200 and 240:

200, 202, 204, 206, 208, 210, 212, 214, 216, 218, 220, 222, 224, 226, 228, 230, 232, 234, 236, 238, 240

4 0

4 years ago

For the following telescoping series, find a formula for the nth term of the sequence of partial sums

gtnhenbr [62]

I'm guessing the sum is supposed to be

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}$

Split the summand into partial fractions:

$\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}$

$1=a(5k+4)+b(5k-1)$

If $k=-\frac45$ , then

$1=b(-4-1)\implies b=-\frac15$

If $k=\frac15$ , then

$1=a(1+4)\implies a=\frac15$

This means

$\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}$

Consider the $n$ th partial sum of the series:

$S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)$

The sum telescopes so that

$S_n=\dfrac2{14}-\dfrac2{5n+4}$

and as $n\to\infty$ , the second term vanishes and leaves us with

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}=\lim_{n\to\infty}S_n=\frac17$

7 0

3 years ago

The average cost per car crash in Thousand Oaks was $1,599 in 2014. Suppose this average cost was based on a sample of 50 person

artcher [175]

Ok so djdmdjdjfndjdjdjdjdmdd dmdmdd

5 0

3 years ago

(12x - 30) = (2x - 5)

zzz [600]

Answer:

x = 5/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define

12x - 30 = 2x - 5

Step 2: Solve for x

Subtract 2x on both sides: 10x - 30 = -5
Add 30 to both sides: 10x = 25
Divide 10 on both sides: x = 5/2

8 0

3 years ago

Find the midpoint of the segment with the following endpoints.

sergij07 [2.7K]

Answer:

( 5.5 , 4 )

Step-by-step explanation:

Use mid point formula shown in image

first x= (X+X)/2

x=(4+7)/2

x=11/2

x=5.5

y=(Y+Y)/2

y=(2+6)/2

y=8/2

y=4

(5.5,4)

4 0

3 years ago