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gogolik [260]
1 year ago
5

Unit 2 Logic and Proof Homework 1 Inductive reasoning

Mathematics
2 answers:
fomenos1 year ago
8 0

Answer:#1. 13, 18, 23, 28, 33, 38, 4, 48, 53

To generate the next term, add 5 to the previous term.

Step-by-step explanation:18-13=5 see if it is the same for the others and go from there.

Dahasolnce [82]1 year ago
6 0

Answer:

The answers for this question is given below in the explanation section, kindly refer.

Step-by-step explanation:

Find the next 5 terms:

1) 28 < <u>33, 38, 43, 48, 53</u> => In every next term 5 is added.

2) 64 < <u>32, 16, 8, 4, 2</u> => In every next step the term is divided by 2.

3) 64 < <u>125, 216, 343, 512, 729</u> => In every next step it is a cube of next number.

4)  13 < <u>17, 19, 23, 29, 31</u> => In every next term it is the next prime number.

5) V < <u>VI, VII, VIII, IX, X</u> => In every next term it is the next roman numeral.

6) 8 < <u>13, 21, 34, 56, 90</u> => In every next term it is the sum of previous two terms.

7) => In every next term the arrows rotate clockwise in direction.

T/F:

8) False => 17+19 = 36, which is not a prime number.

9) True

10) True

11) True

12) True

13) True

14) False => ostrich, penguin, etc.

15) True

16) False => (a + b)² = a² + b² + 2ab

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A parabola is represented by the equation y2 = 5x. which equation represents the directrix?
ivann1987 [24]

The value of the directrix is -5/4.

According to the statement

we have given that the equation of parabola is y2 = 5x. And we have to find that the which equation represents the directrix.

We know that the general equation of parabola is

(y - k)2 = 4a(x - h)  -(1)

and given parabola equation is

y2 = 5x.  -(2)

After comparing the both equations we get k=0 and h=0

And the formula to find the directrix is

x = h - a

Substitute the values of h and a in it then

x = 0-5/4

x = -5/4.

Here the directrix is -5/4.

So, The value of the directrix is -5/4.

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1 year ago
A boy walks 58 feet up a ramp having a 22.5 degree inclination. how high is he standing from the ground?
yKpoI14uk [10]

Boy is 22.5 feet high from the ground

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.

The given question can be solved by sin, as value of perpendicular is to be evaluated and height and angle is provided. Let height from the ground be x

sin(22.5°) = x / 58

x = 58sin22.5 = 58(.38258)  =  22.5 feet high.

Thus the Boy is 22.5 feet high from the ground.

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Please please please
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