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Nadya [2.5K]
3 years ago
15

Use inductive reasoning to determine the next two terms in each sequence: a) 1, 3, 7, 15, 31 ....

Mathematics
2 answers:
Shalnov [3]3 years ago
7 0

Answer:

63,127

Step-by-step explanation:

the interval between each number is multiplied by 2

such as between 1 and 3 we have 2 so 2×2=4

the 4+3=7 and so on

AysviL [449]3 years ago
6 0

Answer: 63, 127

Step-by-step explanation: 1+2=3; 3+4=7; 7+8=15; 15+16=31; 31+32=63; 63+64=127

Or, if we call the first value  a1 , the sequence is given by  an=2n−1

The first approach to analyzing almost any sequence is to look at the differences of successive elements. In this sequence, that’s 2, 4, 8, 16, 32. That makes the answers above pretty easy.

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10 more than 2 times a number is equal to 2 times the number plus 50. What is the number?
PSYCHO15rus [73]

Answer:

y = 40 is the answer

Step-by-step explanation:

Let the number be y

10 more than 2 times a number = 10 + 2×y

equal to 2 times the number plus 50. = 2 × y + 50

10 + 2y = 2y + 50

combine the like terms

2y - 2y =50 - 10

0 = 40

the number supposes be 40 but the number is represented by 0

i think some thing is missing in your question

y supposes be 40 not 0 = 40

Hope this helps!

3 0
3 years ago
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Today's cafeteria s
kobusy [5.1K]

Answer:

Equation 1: 14t + 61s = 150

Equation 2: 14t + 25s = 78

Use Elimination (x)

(-1) (14t + 25s) = (78) (-1)

-14t - 25s = -78

14t + 61s = 150

+ -14t - 25s = -78

--------------------------

36s = 72

s = 2

Salad costs $2

Then find t

14t + 61(2) = 150

14t + 122 = 150

14t = 28

t = 2

Sandwich costs $2

5 0
3 years ago
Please help this is so confusing
AURORKA [14]

Answer:

Triangle #2

Step-by-step explanation:

Translation involves the movement of a triangle without changing its direction or shape. It basically involves the sliding of a triangle, so Triangle 2 satisfies the definition of translation.

6 0
3 years ago
What single transformation was applied to quadrilateral A to get quadrilateral B?
Helen [10]
B : rotation.

Translation is if you are moving the shape from one place to the other. Reflection is if you are flipping the shape over a line ( which it is not ) and dilation is when the shape is becoming bigger or smaller.
6 0
3 years ago
What is the volume of the composite figure below? (formula for volume of a prism is 1/3 Bh where B is the area of the base.)
arsen [322]

Answer:

Last Option; 84 cu. mm

Step-by-step explanation:

We know that;

Volume = 1/3(Bh)

And that this is figure has a square base, therefore B that represents the area of the base will be: 6 * 6 = 36

And height = 7mm

Therefore we can say;

Volume = (1/3)*(6 x 6)*(7)

Volume = (1/3)*(36)*(7)

Volume = (12)*(7)

<u>Volume = 84</u>

Hope this helps!

6 0
3 years ago
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