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Masteriza [31]
3 years ago
7

Determine the next term in the geometric sequence 1024,512,256,128,

Mathematics
1 answer:
zepelin [54]3 years ago
7 0

Answer:

64

Step-by-step explanation:

We are dividing by 2 each time

1024 /2 = 512

512/2 = 256

256/2 =128

128/2 = 64

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2. Geoff planted dahlias in his garden. Dahlias have bulbs that
Neporo4naja [7]
256
 Just keep muliplying the number

8*2
16*2
32*2
64*2
128*2

5 0
2 years ago
Read 2 more answers
Imagine you are filling up a water jug and the water is coming in at rate of 2 liters per 25 seconds. At this rate, how much wat
Zinaida [17]

The answer is 10.8  liters of water

Hope this helps!

4 0
3 years ago
1. What is the value of the y variable in the solution to the following system of equations?
ollegr [7]

Part 1)

we have

3x-6y=3 ------> equation A

7x-5y=-11 ------> equation B

Multiply by -7 the equation A

-7(3x-6y)=-7*3

-21x+42y=-21 ------> equation C

Multiply by 3 the equation B

3*(7x-5y)=-11*3

21x-15y=-33 -------> equation D

Adds equation C and equation D

-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2

therefore

<u>the answer Part 1) is the option A </u>

y=-2

Part 2)

we have

3x+y=6

y=-3x+6 ------> equation A

6x+2y=8

Simplify Divide by 2 both sides

3x+y=4

y=-3x+4 ------> equation B

the lines A and B are parallel lines, because the slope m is equal

so

The system has no solution

therefore

<u>the answer Part 2) is the option D</u>

There is no x value as there is no solution to the system.

Part 3)

we have

4x+2y=6 ------> equation A

x-y=3

y=x-3  ------> equation B

substitute equation B in equation A

4x+2[x-3]=6

6x-6=6

6x=12

x=2

therefore

<u>the answer part 3) is the option D</u>

x=2

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

x+y=1,120

x=1,120-y -------> equation A

3x-2y=1,300 ------> equation B

substitute equation A in equation B

3[1,120-y]-2y=1,300

3,360-5y=1,300

5y=3,360-1,300

5y=2,060

y=412

therefore

<u>the answer part 4) is  the option D</u>

y=412

8 0
2 years ago
Read 2 more answers
Quadrilateral DEFG has vertices D(−2,4) , E(4,7) , F(10,3) , and G(8,0) .
fredd [130]

A rotation 270° counterclockwise about the origin is the same as rotation 90° clockwise about the origin and has a rule:

(x,y)→(y,-x).

Then:

  • D(−2,4)→D'(4,2)
  • E(4,7)→E'(7,-4)
  • F(10,3)→F'(3,-10)
  • G(8,0)→G'(0,-8)

Answer: the coordinates of vertices of quadrilateral D′E′F′G′ are D'(4,2), E'(7,-4), F'(3,-10), G'(0,-8).

8 0
2 years ago
Find the exact solution of -x2 +7x + 5 = 0 by using the Quadratic Formula.
jonny [76]

Answer:

The answer to your question is:

x 1 = -0.65

x2 = 7.65

Step-by-step explanation:

Equation              -x² + 7x + 5 = 0

a = -1

b = 7

c = 5

Quadratic formula     x = -b ±√(b² -4ac) / 2a

                                   x = - 7 ± √(7² -4(-1)(5) / 2(-1)

                                   x = -7 ± √(49 + 20) / -2

                                  x = -7 ± √69 / -2

                                   x = - 7 ± 8.3 / -2

               x1 = -7 + 8.3 / -2                         x2 = -7 -8.3 / -2

               x 1 = -0.65                                  x2 = 7.65

7 0
3 years ago
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