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tigry1 [53]
3 years ago
13

What are the next three terms 4, 7/4,-1/2,-11/4...

Mathematics
1 answer:
Molodets [167]3 years ago
5 0

Answer:

{-29/4, -19/2, -47/4}

Step-by-step explanation:

Note that this is a decreasing arith. seq.  Each term is smaller than the previous term, the result of the subtraction of 2 1/4 (equivalent to 9/4).  

The fourth term is -11/4; subtracting 9/4 results in -20/4, or -5.

The fifth term is -20/4; subtracting 9/4 results in -29/4.

The 6th term is -29/4; subtracting 9/4 results in -38/4, or -19/2.

The 7th term is -38/4; subtracting 9/4 results in -47/4.

Thus, the "next three terms" following the first four terms are {-29/4, -19/2, -47/4}

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What is the quotient?<br><br> -4/5 *2
kogti [31]

Answer:

-8/5

Step-by-step explanation:

convert the expression:-4/5 *2

multiply the fractions: -4/5 *2/1 (multiply across)

the you will get -8/5

4 0
3 years ago
I marked all 3 parts. I need to know part C (the shaded part). anybody mind helping?​
Mnenie [13.5K]

Answer:

Area of shaded part ABCEF = 66 sq.cm

Step-by-step explanation:

AB = 8cm

CD = 8cm

Let DE = x cm

CE = 3x cm

CD =  CE + DE = 8cm

        x + 3x = 8

4x = 8

x = 8/4 = 2 cm

DE = 2cm

CE = 3 * 2 = 6 cm

Area of triangle ADE = 1/2 * base * height

                                   = 1/2 * DE * AD

                                    = 1/2 * 2 * 11 = 11 sq. cm

Area of triangle AEF = Area of triangle ADE = 11 sq. cm

Area of Rectangle ABCD =  l * b = 8 * 11 = 88 sq.cm

Area of shaded part ABCEF =  Area of Rectangle ABCD - (Area of triangle AEF + Area of triangle ADE)

    = 88 - ( 11 + 11 )  = 88 -22 = 66 sq.cm

6 0
3 years ago
Simplify 9 to the 2nd over 9 to the 7th.
Free_Kalibri [48]

9^2/9^7

when dividing powers, we subtract the exponents

9^(2-7)

9^ (-5)

a negative exponent flips from the numerator to the denominator

1/ 9^5

Choice D

6 0
3 years ago
Read 2 more answers
(03.01)<br> Factor completely 2x^5 + 10x^4- 22x^3
kakasveta [241]

Answer:

Step-by-step explanation:

2x^3(x^2 + 5x - 11)

5 0
3 years ago
Body fat percentage of 13.4% and weighs 182 pounds. How many pounds of his weight is made up of fat? Round to the nearest tenth
il63 [147K]

Answer:

It would be 24.4 pounds.

Step-by-step explanation:

First do: 13.4 / 100 = 0.134

Then, 182 * 0.134,

to get 24.4 pounds.

8 0
3 years ago
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