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Alborosie
3 years ago
11

5 7/10 x 6 1/9 simplify

Mathematics
1 answer:
Softa [21]3 years ago
4 0

Answer:

34  5/6

Step-by-step explanation:

Convert the mixed numbers into improper fractions:

57/10 × 55/9

We can reduce these fractions by using the greatest common factor, 3

19/2 × 11/3

Multiply

19/2 × 11/3 = 209/6

Convert to mixed number

209/6 = 34 5/6

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Xy + 3ey = 3e, find the value of y'' at the point where x = 0.
Katyanochek1 [597]

y might be 1 and I got that cuz 0y+3ey=3e and replace y with 1 and you get 0•1+3e•1=3e and to be honest it kinda looks like it makes sense

7 0
3 years ago
Read 2 more answers
my 4th time another hunnid points easy right cmon now Your weclome! Cmon dont be rude i just helped you why dont you do me a fav
frosja888 [35]

Answer:

thank you sm!

Step-by-step explanation:

I hope you have a good day / night ^^

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6 0
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 nth 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
Which describes the cross section of the square prism that passes through the vertices A, B, C, and D shown
sasho [114]

Answer:

first of all,

Step-by-step explanation:

In triangle ABC one side equal  and two sides equal  

Step-by-step explanation:

We are given a prism whose base is square with sides 8 in and height 12 in.

If we take cross section through vertices A, B and C

We will get a cross section as triangle.

In triangle ABC, sides are AB, BC and AC

AB is diagonal of top square whose side 8 in.

AC is face diagonal of front face.

BC is face diagonal of right face.

AC=BC≠AB

Hence, In triangle ABC one side equal  and two side equal  

Hope this helps!!

5 0
3 years ago
There were 200,000 animals of a certain species in 1980. Since then,this number has decreased by 4.5% each year. Approximately h
g100num [7]

Answer: Approximately 25187 animals of this species will be left in 2025

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

y = b(1 - r)^x

Where

y represents the population of animals after x years.

x represents the number of years.

b represents the initial population of animals.

r represents rate of decay.

From the information given,

b = 200000

r = 4.5% = 4.5/100 = 0.045

x = 2025 - 1980 = 45 years

Therefore,

y = 200000(1 - 0.045)^45

y = 200000(0.955)^45

y = 25187

8 0
3 years ago
Read 2 more answers
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