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musickatia [10]
2 years ago
8

Find the sum of the Infinite Series Below. 20 pts.

="TexFormula1" title="{36-24+16- 32/3 +...}" alt="{36-24+16- 32/3 +...}" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
zhuklara [117]2 years ago
6 0
Answer: 637
…………………..
ratelena [41]2 years ago
5 0

Answer: 637

Step-by-step explanation:

Follow the

Symbols like a divide

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Trina has two brothers. one brother is 7 years older than trina and the other brother is 7 years younger than trina. the product
AlladinOne [14]
(a) 95 = (x+7)*(x-7)

(b) 95 = (x+7)*(x-7) 
Expand the brackets:
95 = x² -7x + 7x -49 = x² - 49
Subtract x² from both sides:
95-x² = -49
Subtract 95 from both sides:
-x²=-49-95 
-x²= -144
Divide both sides by -1 to get rid of the negative numbers:
-x²/-1=-144/-1
x²=144
Take the square root of 144:
x = ± squareroot of 144
x = 12 or -12
x = 12 because you cannot have a negative age so Trina is 12 years old.
     
7 0
3 years ago
PLEASE TELL ME THE ANSWER TO PERCENTS BRAINPOP
coldgirl [10]
I wish I could tell you, I’m stuck on it too
5 0
2 years ago
Read 2 more answers
(PLEASE HELP ASAP)
lesya [120]

Answer:

  • Slope: -2
  • equation: y = -2x +5

Step-by-step explanation:

The given point is the y-intercept of the line, so the slope-intercept form of the equation of a line can be used:

  y = mx + b . . . . for slope m and y-intercept b

Here, you have the slope given as ...

  m = -2

  y-intercept = 5

so the equation of the line is ...

  y = -2x +5

_____

The y-intercept is the value of y when x=0. The point (x, y) = (0, 5) tells you the y-intercept is 5.

7 0
3 years ago
There are three power plants [X, Y, Z] that at any given time each one either generates electricity or idles. Event A is that pl
insens350 [35]

We're told that

P(A\cap B)=0.15

P(A\cup B)^C=0.06\implies P(A\cup B)=0.94

P(B\mid A)=P(B^C\mid A)=0.5

where the last fact is due to the law of total probability:

P(A)=P(A\cap B)+P(A\cap B^C)

\implies P(A)=P(B\mid A)P(A)+P(B^C\mid A)P(A)

\implies 1=P(B\mid A)+P(B^C\mid A)

so that B\mid A and B^C\mid A are complementary.

By definition of conditional probability, we have

P(B\mid A)=P(B^C\mid A)

\implies\dfrac{P(A\cap B)}{P(A)}=\dfrac{P(A\cap B^C)}{P(A)}

\implies P(A\cap B)=P(A\cap B^C)

We make use of the addition rule and complementary probabilities to rewrite this as

P(A\cap B)=P(A\cap B^C)

\implies P(A)+P(B)-P(A\cup B)=P(A)+P(B^C)-P(A\cup B^C)

\implies P(B)-[1-P(A\cup B)^C]=[1-P(B)]-P(A\cup B^C)

\implies2P(B)=2-[P(A\cup B)^C+P(A\cup B^C)]

\implies2P(B)=[1-P(A\cup B)^C]+[1-P(A\cup B^C)]

\implies2P(B)=P(A\cup B)+P(A\cup B^C)^C

\implies2P(B)=P(A\cup B)+P(A^C\cap B)\quad(*)

By the law of total probability,

P(B)=P(A\cap B)+P(A^C\cap B)

\implies P(A^C\cap B)=P(B)-P(A\cap B)

and substituting this into (*) gives

2P(B)=P(A\cup B)+[P(B)-P(A\cap B)]

\implies P(B)=P(A\cup B)-P(A\cap B)

\implies P(B)=0.94-0.15=\boxed{0.79}

8 0
3 years ago
Help please i need it bad
evablogger [386]

Answer:

-13, -3

15, 2.6

Step-by-step explanation:

x, y are the numbers

x = 5y + 2

x×y = 39

(5y + 2)×y = 39

5y² + 2y - 39 = 0

the solution of a quadratic equation :

y = (-b ± sqrt(b² - 4ac))/2a

a = 5

b = 2

c = -39

y = (-2 ± sqrt(2² - 4×5×-39))/2×5 =

= (-2 ± sqrt(4 + 780))/10 =

= (-2 ± sqrt(784))/10 = (-2 ± 28)/10

y1 = (-2 + 28)/10 = 26/10 = 2.6

y2 = (-2 - 28)/10 = -30/10 = -3

x1 = 5×2.6 + 2 = 13 + 2 = 15

x2 = 5×-3 + 2 = -15 + 2 = -13

5 0
2 years ago
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