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3 years ago

Find the next two terms of the following sequence: 14, 38, 74, 122, 182, 254...

1 answer:

5 0

Let's find the difference between each number.
38-14=24
74-38=36
122-74=48
182-122=60
254-182=72
As you can tell, you're adding 12 to each difference before. The next difference would be 72+12=84. Let's add.
254+84=338
Now the next difference would be 84+12=96.
338+96=434
So, the next two terms are 338 and 434.

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What is the answer

mrs_skeptik [129]

Answer:

10.56825

Step-by-step explanation:

solution:

4.95×2=9.9

9.9×6.75%=0.66825

0.66825+9.9=10.56825

7 0

3 years ago

What is the relationship between the number of sides of the base of a prism and the number of lateral faces? The number of sides

slamgirl [31]

Answer:

Every prism has as many faces, and edges, as its base has sides. Thus, a prism with an octagonal (eight sided) base has eight lateral faces, and eight lateral edges. Each lateral face meets two other lateral faces, as well as the two bases. As a consequence, each lateral face is a four sided polygon.

5 0

3 years ago

Read 2 more answers

1) A rectangle has the lengths shown <br> Find the perimeter of the rectangle.

maks197457 [2]

Hi there! :)

$\large\boxed{P = 32cm}$

Find the perimeter by solving for y.

We know that a rectangle contains two pairs of parallel and congruent sides, therefore:

5y - 1 = 2y + 8

We can solve for y using this expression. Begin by subtracting 2y from both sides:

5y - 2y - 1 = 2y - 2y + 8

3y - 1 = 8

Add 1 to both sides:

3y - 1 + 1 = 8 + 1

3y = 9

Divide both sides by 3:

y = 3

Recall that the perimeter of a rectangle is:

P = 2l + 2w

Plug in the given expressions for the side lengths to find one equation:

P = 2(5y - 1) + 2(y - 1)

Simplify by distribution:

P = 10y - 2 + 2y - 2

Combine like terms:

P = 12y - 4

Plug in the solved value of y into this equation:

P = 12(3) - 4

P = 36 - 4

P = 32 cm.

3 0

3 years ago

Que por ciento de 20 es 6?

Mariulka [41]

Answer:

30%

Step-by-step explanation:

x% de 20 es 6.

x% * 20 = 6

0.01x * 20 = 6

0.2x = 6

x = 6/0.2

x = 30

Respuesta: 30%

8 0

3 years ago

=0.56x−0.25n=0.20x−0.03

katovenus [111]

Given:

$m=0.56x-0.25$

$n=0.20x-0.03$

To find:

The sum of m and n.

Solution:

We have,

$m=0.56x-0.25$

$n=0.20x-0.03$

The sum of m and n is:

$m+n=(0.56x-0.25)+(0.20x-0.03)$

Combining the like terms, we get

$m+n=(0.56x+0.20x)+(-0.25-0.03)$

$m+n=(0.76x)+(-0.28)$

$m+n=0.76x-0.28$

Therefore, the sum of m and n is $m+n=0.76x-0.28$ .

7 0

3 years ago