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Aliun [14]
2 years ago
7

Find the 9th term of the geometric sequence 2, -10 50 -250

Mathematics
1 answer:
tigry1 [53]2 years ago
7 0

Answer:

781250

Step-by-step explanation:

We first need to find the common ratio

-10 /2 = -5

50 / -10 = -5

The common ratio is -5

an = a (r) ^ (n-1)

a9 = 2 ( -5) ^(9-1)

     = 2 (-5)^8

      =781250

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Kate is a wage earner. One year she earned $72 000. She works 36 hours/week.
Lemur [1.5K]

Answer:

Kate's possible hourly rate of pay:  $34.75

Hours of overtime: 100

Step-by-step explanation:

In order to find Kate's hourly wage, we can set up an equation based on the number of hours she works per week and the estimated number of overtime hours to equal her total pay for the year.  If Kate works 36 hours/week and there are 52 weeks in a year, her total hours for one year are:  36 x 52 = 1872.  Setting up an equation based on her total earnings of $72,000:

1872x + 100(2x) = 72000, where 'x' is the hourly rate and '2x' is her overtime rate which is double time.

Combine like terms:  1872x + 200x = 72000 or 2072x = 72000

Divide both sides by 2072:  2072x/2072 = 72000/2072

Solve for x:  x = $34.75

Kate's hourly rate is estimated at $34.75.  We can check to see if this is correct by putting this value back into our original equation:

1872(34.75) + 100(2)(34.75) = 65052 + 6950 = 72002

The answer of $72,002 is very close to $72,000 and the best estimate of Kate's hourly wage and overtime hours.

8 0
3 years ago
I really need help<br> Solve for x
MakcuM [25]

\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}

1. Both are corresponding angles, hence they both are equal, so,

44x + 2 = 45x \\  =  > 2 = 45x - 44x \\  =  > 2 = x \\  =  > x = 2

Ans. C) 2

2. They both are in interior corressponding, hence their sum is equal to 180°, so,

10x + 6 + 104 = 180 \\  =  > 10x + 110 = 180 \\  =  > 10x = 180 - 110 \\  =  > 10x = 70 \\  =  > x =  \frac{70}{10}  \\  =  > x = 7

Ans. D) 7

3. They both are in interior corressponding, hence their sum is equal to 180°, so,

x + 75 + x + 125 = 180 \\  =  > 2x + 200 = 180 \\  =  > 2x = 180 - 200 \\  =  > 2 x =  - 20 \\  =  > x =  \frac{ - 20}{2}  \\  =  >  x =  - 10

Ans. A) -10

4. Both are corresponding angles, hence they both are equal, so,

12x + 3 = 11x + 9 \\  =  > 12x - 11x = 9 - 3 \\  =  > x = 6

Ans. A) 6

If it helps you, please don't forget to follow me.

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6 0
3 years ago
I need to put it in simplest form ASAP
scoundrel [369]

Answer:

39/500

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
For each of these triples, find if they could be the lengths of the sides of a right triangle.
frutty [35]
A is the correct answer
7 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
jolli1 [7]

Answer:

y = 5cos(πx/4) +11

Step-by-step explanation:

The radius is 5 ft, so that will be the multiplier of the trig function.

The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.

The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.

The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.

Putting that all together, you get

... y = 5cos(π/4x) + 11

_____

The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.

4 0
3 years ago
Read 2 more answers
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