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luda_lava [24]
2 years ago
8

What’s the 69th term of the arithmetic sequence -13, -33, -53

Mathematics
1 answer:
katovenus [111]2 years ago
3 0

Answer:

(-1373)

Step-by-step explanation:

a = 1st term = -13

Common difference = d = 2nd term - 1st term

                            d = -33 - (-13) = -33 + 13

                             d = -20

n = 69

nth term = a + (n-1)d

69th term = (-13) + 68 * (-20)

                 = -13 - 1360

                =  - 1373

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a circle with radious of 1cm sits inside a 11cm times 12 cm rectangle what is the area of the shaded region
Nitella [24]

Answer: 128.86cm²

Step-by-step explanation:

The circle is inscribed in the rectangle. To find the shaded portion, subtract he area of the circle from the are of the rectangle.

Area of the rectangle                                  =  11 x 12

                                                                     =  132cm²

Area of the circle with radius of 1cm          =  πr²

                                                                     = 3.142 x 1²

                                                                     = 3.142cm²

Therefore , area of the shaded  region      = 132cm²  -  3.142cm²

                                                                    = 128.86cm²

7 0
3 years ago
Read 2 more answers
Use the equation 2,401 = 76 – 2x. What power of 7 is 2,401?
zaharov [31]
Comment
I'm going to take a guess at this and say what you meant is  2401 = 7^(6 - 2x)

Step One
Find out the power of 7 that will equal 2401. 
You could do it like this.
7^y = 2401 and just guess at some values.

y      7^y
1      7
2      49
3      7 * 7 * 7 = 343
4      7 * 7 * 7 * 7 = 2401  So the answer is 4

7^4 = 2401

Step 2 
Equate the powers.
2401 = 7^(6 - 2x)
7^4 = 7^ (6 - 2x)
4 = 6 - 2x  Subtract 6 from both sides.
4 - 6 = - 2x 
-2 = - 2x divide by - 2
-2/-2 = x
x = 1 <<<<<<<<<<<<<answer

7 0
3 years ago
Read 2 more answers
2/5 of a class are girls. 3/4 of the boys are called Paul. What fraction of the whole class is not called Paul?
Novay_Z [31]

Answer:

1/4

Step-by-step explanation:

3/4 + 1/4 = 4/4

7 0
2 years ago
Read 2 more answers
Alex and payton each have a favorite pancake recipe. Alexs recipe uses 7 1/2 cups of flour for 5 batches, paytons recipe uses 3/
Elina [12.6K]

Answer:

9/4z cups

Step-by-step explanation:

Alex recipe uses 7 1/2 cups of flour for 5 batches

Cups of flour per batch = 7 1/2 cups ÷ 5 batches

= 15/2 ÷ 5

= 15/2 × 1/5

= (15*1)/(2*5)

= 15/10

Alex recipe per batch= 3/2 cups of flour per batch

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Payton's recipe per batch = Alex recipe per batch + 3/4 cups

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= 9/4 cups of flour

Payton's recipe per batch = 9/4 cups of flour

What expression can be used to determine the number of cups of flour used to make z batches of paytons pancake recipe

Payton's recipe for z batches = Payton's recipe per batch * number of batches

= 9/4 cups * z batches

= 9/4z cups

Payton's recipe for z batches = 9/4z cups

3 0
3 years ago
Tickets to a local movie were sold at $3.00 for adults and $1.50 for students. If 350 tickets were sold for a total of $630.00,
Hatshy [7]

Answer:

Believe

Step-by-step explanation:

8 0
2 years ago
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