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faltersainse [42]
2 years ago
15

Simplify the expression: 6/3(13−18)+2^4÷6

Mathematics
1 answer:
Makovka662 [10]2 years ago
7 0

Answer:

-7.333

Step-by-step explanation:

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Please help me solve this​
Viktor [21]

You can factor the 32 out of the sum:

\displaystyle \sum_{m=1}^\infty 32 \cdot \left(\dfrac{1}{2}\right)^{m-1} = 32\sum_{m=1}^\infty \left(\dfrac{1}{2}\right)^{m-1}

We can also change the index as follows

\displaystyle 32\sum_{m=1}^\infty \left(\dfrac{1}{2}\right)^{m-1} = 32\sum_{m=0}^\infty \left(\dfrac{1}{2}\right)^{m}

Now, we have a theorem that states that the series

\displaystyle \sum_{m=1}^\infty a^m

converges if and only if |a|, and in this case we have

\displaystyle \sum_{m=1}^\infty a^m = \dfrac{1}{1-a}

This is your case, because you have

|a|=\dfrac{1}{2}

which implies that your series converges, and the value is

\displaystyle 32\sum_{m=0}^\infty \left(\dfrac{1}{2}\right)^{m} = 32 \cdot \dfrac{1}{1-\frac{1}{2}} = 32\cdot 2 = 64

3 0
3 years ago
I WILL GIVE YOU 100 POINTS IF YOU ANSWER THE QUESTIONS CORRECTLY IN MY PROFILE PLEASE!! IT'S DUE TODAY!! ↓↓↓↓ (answer both parts
Finger [1]

Answer:

hight mmm or it's depents on the speed of roller coaster

5 0
2 years ago
HELP ME PLEASE REALLY IMPORTANT OR ILL GET IN TROUBLE!! WILL MARK AS BRAINLEST IF YOU GET IT CORRECT!!
OLEGan [10]

Answer:  

24m-28

Step-by-step explanation:

(6m-7)x4

24m-28

4 0
3 years ago
Read 2 more answers
Triangle ABC is located at A(-4,5), B (-4, -1), and C(-1,1). A translation of the triangle is located at A’(-1, 7), B’(-1, 1), a
astraxan [27]
Triangle ABC is translated 3 units right and 2 units up
by looking at point A (-4,5) which is translated to A'(-1,7) 
we can tell by looking at the points that -4 is shifted by 3 units to the right ti reach -1 and 5 is shifted upwards by 2 units to reach 7
7 0
3 years ago
D divided by 4 plus 12 = 20<br> show steps<br> what is d
tester [92]

Answer:

d=32!!!

Step-by-step explanation:

So first rewrite it as an equation: d/4+12=20

d/4+12=20 then subtract 12 from both sides to balance the equation

d/4=8 so multply both sides by 4  to isolate the variable, 4(d/4)=d =d and 8x4=32, so d=32

4 0
2 years ago
Read 2 more answers
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