2 years ago

Write the percent as a decimal. Use a model to check your answer ( 6%)

Mathematics

2 answers:

bazaltina [42]2 years ago

7 0

Answer:

0.06

Step-by-step explanation:

Mice21 [21]2 years ago

3 0

The answer is 0.06
When using percent you move the decimal place over twice.

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Jake walks from the library to the museum along 3th avenue. he stops at the post office and at a store. The distances between th

alexdok [17]

I believe the answer would be 4/6 which would simplify to 2/3

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3 years ago

True or false. Y=3xsquared (like the little number two above the x) is direct variation.

galina1969 [7]

Your answer will be true

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3 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

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

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3 years ago

The 7th grade has 195 students. There are 25 more girls than boys in the grade. How many boys are there in 7th grade

Anon25 [30]

110 girls and 85 boys.

Subtract 1 from 195. Then divide by 2. 194/2 = 97. Then add 13 97+13=110. There are 110 girls.

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3 years ago

Write the equation of the circle centered at ( 7 , − 5 ) (7,-5) with diameter 16

galina1969 [7]

The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the center.

If the diameter is 16, then the radius is 8.

Your equation is:
(x - 7)² + (y + 5)² = 64

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3 years ago