Find the sum of the geometric sequence –3, 15, –75, 375, … when there are 9 terms and select the correct answer below.A. -976,563
B.976,563
C.1,464,843
D.976,562

Answers

Answer 1
Answer: The correct answer to the question presented above would be letter A. -976, 563. I got this through solving with the first number of the set, then getting the ratio of the data set (which is -5) and the number of terms in the set. Thus, I arrived with the answer, -976, 563.
Answer 2
Answer:

Answer:

Find the sum of the geometric sequence −3, 15, −75, 375, … when there are 9 terms and select the correct answer below.

-The answer is A. ( −976,563)

Explanation:

Took the test and got it correct.


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Pentagon ABCDE and pentagon A'B'C'D'E' are shown on the coordinate plane below: Pentagon ABCDE and pentagon A prime B prime C prime D prime E prime on the coordinate plane with ordered pairs at A negative 4, negative 2, at B negative 6, negative 3, at C negative 5, negative 6, at D negative 2, negative 5, at E negative 2, negative 3, at A prime 3, 1, at B prime 1, 2, at C prime 2, 5, at D prime 5, 4, at E prime 5, 2 Which two transformations are applied to pentagon ABCDE to create A'B'C'D'E'? Translated according to the rule (x, y) →(x + 7, y + 1) and reflected across the x-axis Translated according to the rule (x, y) →(x + 1, y + 7) and reflected across the x-axis Translated according to the rule (x, y) →(x + 7, y + 1) and reflected across the y-axis Translated according to the rule (x, y) →(x + 1, y + 7) and reflected across the y-axis
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Tate has been dancing for 710 of an hour. Marcia has been dancing for 3.6 times the amount of time than Tate has been dancing. How long has Marcia been dancing for? Write your answer as a decimal.

Answers

Answer: 2.52

Step-by-step explanation:

(assuming that when you say 710, you mean 7/10)

3.6/1 times 7/10 =  25.2/10 or 2.52

Find y for x= 1,2,3,and 4
y=2x     y=3x+1   y=x-5    y=-5x+6

Answers

Like I said, just use the formulas
y=2x is 2,4,6,8
y=3x+1 is 4,7,10,13
y=x-5 is -4,-3,-2,-1
y=5x+6 is 11,16,21,26
Wow I just noticed these are all patterns...

Solve for x: 2x^2+4x-16+=0

Answers

2x^2+4x-16=0\ /:2\n \nx^2+2x-8=0\n \nx^2-2x+4x-8=0\n \nx(x-2)+4(x-2)=0\n \n(x-2)(x+4)=0\ \ \ \Leftrightarrow\ \ \ x-2=0\ \ \ \vee\ \ \ x+4=0\n \n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=2\ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-4
2x^2+4x-16=0|:2\n x^2+2x-8=0\n \Delta=36\Rightarrow√(\Delta)=6\n x_1=(-b+√(\Delta))/(2a)\ \vee\ x_=(-b-√(\Delta))/(2a)\n x_1=2\ \vee\ x_2=-4

Which expression represents how many years are in x months?A) 12x
B) 12 + x
C)
x
12
D)
12
x

Answers

C:  x/12.  This is because there are 12 months in 1 year.  So if you had 24 months to find the number of years you divide by 12.  24/12=2  so there are 2 years in 24 months.
I think it is C.........

If (−3.5, y) is a solution to the equation 2x − 5y = 10, what is the value of y?a) -3.4
b) 13.75
c) -0.6
d) -3.75

Answers

2x - 5y = 10
2(-3.5) - 5y = 10
-7 - 5y = 10
+7          +7
     -5y = 17
      -5     -5
        y = -3.4
The value of y is equal to A. -3.4.

The area of a playground is 216 yd^2. the width of the playground is 6 yd longer than its length find the length and width.A. length=18, width=12
B. length=12, width=18
C. length=18, width=24
D.length=24, width=18

Answers

Answer: B. length=12, width=18

Step-by-step explanation:

Let x = Length of the playground then width = x+6

Area of a rectangular playground = Length x width

Since , area of playground = 216\ yd^2.

Then , we have

216=(x)*(x+6)\n\n\Rightarrow\ x^2+6x\n\n\Rightarrow\ x^2+6x-216=0\n\n\Rightarrow\ x^2+18x-12x-216=0\n\n\Rightarrow\ x(x+18)-12(x+18)=0\n\n\Rightarrow\ (x-12)(x+18)=0\n\n\Rightarrow\ x=12\text{ or }x=-18

But length cannot be negative , so reject x= -18 .

Thus , the length of playground = 12 yd

Then , width = 12+6 = 18 yd

Hence, the correct answer is B. length=12, width=18

Let the length of the playground be x, then the width is 6 + x.
Area = length * width = x * (6 + x) = 6x + x^2 = 216

Solving the quadratic equation x^2 + 6x - 216 = 0, we have x = 12 or -18

i.e length = 12 and width = 6 + 18 = 18