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3 years ago

Find the next three terms in the numbers sequence 4,8,14,22,32,_,_,_.

Mathematics

2 answers:

uranmaximum [27]3 years ago

8 0

Answer:

44, 58, 74

Step-by-step explanation:

Each distance is increased by 2.

4 to 8----4

8 to 14---6

14 to 22---8

22 to 32---10

32 to ?---12 (32+12)

44 to ?---14 (44+14)

58 to ?---16 (58+16)

Lilit [14]3 years ago

4 0

Answer:

44, 58, 74

Step-by-step explanation:

you add up by 2´s.

Which means, 4+4=8, 8+6=14, 14+8=22, 22+10=32

4,6,8,10,12,14,16

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Anna007 [38]

3232 gallons of fuel are used up

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3 years ago

Read 2 more answers

Please answer this correctly which is the correct options

MakcuM [25]

The first two are equivalent to 15 = k + 13

8 = k + 13 - 7 → ( add 7 to both sides )

8 + 7 = k + 13 ⇒ 15 = k + 13 ' is equivalent '

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12 + 3 = k + 13 ' is equivalent '

4 0

3 years ago

Tracy had a bag of candies, and none of the candies could be broken into pieces. She ate $\frac{1}{3}$ of them and then gave $\f

Ymorist [56]

Answer:

Step-by-step explanation:

Let the number of candies = n

Tracy ate = 1/3 of n = n/3 remaining 2n / 3

she gave 1/4 of the remainder to her friend = 1/4 of ( n - n/3) = 2n / 12

the new remainder = (2n / 3) - (2n / 12) = n /2

she and her mom then ate altogether = 30

and the brother took from 1 to five, the number he took = x

and she has 3 left

( n/2) - 30 - x = 3

n = 2 ( 33 + x)

now we know that the candies could not be broken and x is between 1 to 5

n = 2 (33 + 1), 2 (33+2), 2(33 +3), 2 (33+ 4) and 2 (33 + 5) this are the possible values of n, ( 68, 70, 72, 74, 76) and the multiple of 3 is 72

n therefore = 72

7 0

3 years ago

A rectangular pyramid has a volume of 90 cubic feet. What is the volume of a rectangular prism with the same size base and same

yanalaym [24]

Answer:

30 cubic feet

Step-by-step explanation:

Here we are given the volume of rectangular pyramid as 90 cubic feet as we are required to find the volume of rectangular prism.

For that we need to use the theorem which says that

the volume prism is always one third of the volume of the pyramid . Whether it is rectangular of triangular base. Hence in this case also the volume of the rectangular prism will be one third of the volume of the rectangular pyramid.

Volume of Rectangular prism = $\frac{1}{3}$ * Volume of rectangular pyramid

= $\frac{1}{3}$ * 90

= 30

8 0

3 years ago

Use these functions to answer the questions.

Elenna [48]

Part A
We have $f\left(x\right)=\left(x+3\right)^2-1$ . To solve for the x-intercept, we set f(x) equal to 0. That is
$\left(x+3\right)^2-1=0$

$\left(x+3\right)^2=1$

Take the square root of both sides,
$x+3=1$

$x=-2$

The x-intercept is (-2,0).

To solve for the y-intercept, we set x=0. That is
$y=\left(0+3\right)^2-1=3^2-1=9-1=8$

The y-intercept is (0, 8)

The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).

Part B.
We have $g\left(x\right)=-2x^2+8x+3$ .
Factor out -2
$=-2\left(x^2-4x\right)+3$

Complete the square
$=-2\left(x^2-4x+4\right)+3-2\left(4\right)$

Simplify
$g(x)=-2\left(x-2\right)^2-5$

Part C
We have $h\left(t\right)=-16t^2+28t$ .
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.

4 0

3 years ago

Find the next three terms in the numbers sequence 4,8,14,22,32,_,_,_.​

Find the next three terms in the numbers sequence 4,8,14,22,32,_,_,_.