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sukhopar [10]
2 years ago
15

Question #6

Mathematics
2 answers:
RUDIKE [14]2 years ago
8 0

Answer:

x = 22

Step-by-step explanation:

Add the expressions for the angle measures.

5x + (3x + 4) + (3x + 4) + 5x = 360

Combine like terms.

16x + 8 = 360

Subtract 8.

16x = 352

Divide by 16.

x = 22

stepladder [879]2 years ago
8 0

Answer:

22⁰

Step-by-step explanation:

5x + 3x + 4 + 3x + 4 + 5x = 360⁰

=> 16x + 8 = 360

=> 16x = 360 - 8

=> 16x = 352

=> x = 352/16

=> x = 22

Hence,

Value of x is 22⁰

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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
Factor each expression.<br> 4x² +25
snow_tiger [21]

Answer:

-5,5

Step-by-step explanation:

(2x+5)( 2x-5) x-5=0 x+5=0 I think that's what you do not sure

5 0
2 years ago
If f(x) = –3x – 2, what is f(–5)?
Step2247 [10]
F(x) = -3x - 2
f(-5) = -3(-5) -2 = 15 - 2 = 13
3 0
2 years ago
I need help with multiplying polynomials using foil<br><br> Example <br> (X+5)(x-6)
MArishka [77]
Well (x+5)(×-6)
x*x =x2
x*-6=-6x
x*5 = 5x
5*-6= -30
add them all together to get x2-x-30.
I hope this is what you were asking
3 0
3 years ago
Answer the two questions below
STALIN [3.7K]

Answer:

3: No

4: 25

Step-by-step explanation:

3: It won't because not everyone is the same height and there will be variation in the mean height.

4: A larger sample size will give a more accurate representation of the population, where as a sample size of 5 is much more likely to have a higher percentage of outliers, and each outlier matters much more in finding the mean. In a sample size of 25, each outlier matters much less.

8 0
1 year ago
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