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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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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
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Katherine is landscaping her home with juniper trees and pansies. She wants to arrange 15 pansies around each of 8 trees. Each t
Doss [256]
Let
X-----------------> number of pansies
y-----------------> number of trees

we know that
x=15*8----------> x=120 pansies
y=8 trees

cost of each trees is----------> $<span>20.75
</span>cost of each pansies is------> $2.50/6------> $5/12

[<span>expression to find Katherine’s final cost]=[cost trees]+[cost pansies]
</span>[cost trees]=y*$20.75
[cost pansies]=x*($5/12)   

[expression to find Katherine’s final cost]=y*($20.75)+x*($5/12)
[expression to find Katherine’s final cost]=8*($20.75)+120*($5/12)

[expression to find Katherine’s final cost]=$166+$50
[expression to find Katherine’s final cost]=$216

the answer is 
[expression to find Katherine’s final cost]=y*($20.75)+x*($5/12)
[expression to find Katherine’s final cost]=8*($20.75)+120*($5/12)

Katherine’s final cost is $216
5 0
3 years ago
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If Angle A = 5x-10, find the value(s) for x that would ensure that Angle A was an obtuse angle.
morpeh [17]

Answer:

20 < x < 38.

Step-by-step explanation:

An obtuse angle has a value between 90 and 180.

90 < 5x - 10 < 180

5x - 10 > 90

5x > 100.

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5x - 10< 180

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x < 38

3 0
4 years ago
Tell whether (5. 10) is a solution of y = 6x – 18
almond37 [142]

Answer:

NO

Step-by-step explanation:

Simply enter 5, 10 in the x and y boxes to get the answer.

10=6(5)-18

10=30-18

10=12

As a consequence, it isn't a feasible option.

8 0
3 years ago
Learning Task 1: Write and answer the following in your answer sheet
Marina CMI [18]

Answer:

Evaluating Polynomials:

a. f(1) = -10  

b. f(-3) = -239  

c. f(2)² = 3125

Factoring Polynomials:

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b. (x² - x - 6)(x² + 6x + 9) = (x - 3)(x + 2)(x + 3)(x + 3)  

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4 0
3 years ago
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