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aleksandrvk [35]
2 years ago
11

What is a natural number

Mathematics
2 answers:
zhuklara [117]2 years ago
4 0
Natural numbers include all the whole numbers, and even 0... they can not be fractions, or negative numbers. 
11Alexandr11 [23.1K]2 years ago
3 0

The set of counting numbers {1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ...} is called the set of natural numbers. The natural numbers begin at 1 and go on indefinitely.

Three examples of natural numbers are below.

642,000

440

81

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Rilet rode his bike for 360 minutes if he traveled 2 miles per hour how many miles did he travel
Tanzania [10]
Rilet drove 12 miles.
6 0
3 years ago
Express f(x) = 3 cos x + 5 sin x as Rsin(x + o), where e<br>is an acute angle in radians.​
Andrews [41]

Answer:

<h2>√34sin(x + 0.33π)</h2>

Step-by-step explanation:

The general form of the equation acosx + bsinx = Rsin(x + e) where R is the resultant of the constants 'a' and 'b' and e is the angle between them.

R = √a²+b²

e = tan^{-1}\frac{b}{a}

Given the function f(x) = 3 cos x + 5 sin x, comparing with the general equation;

a = 3, b = 5

R = √3²+5²

R = √9+25

R =√34

e = tan^{-1} \frac{5}{3} \\e = 59.09^{0}

in radians;

e =\frac{\pi }{180}*59.09\\ e = 0.33\pi rad

3 cos x + 5 sin x = √34sin(x + 0.33π)

4 0
3 years ago
The area of the triangle formed by points of intersection of parabola y=a(x−3)(x+2) with the coordinate axes is 10. Find a if it
ICE Princess25 [194]

Answer: a = 4

Step-by-step explanation: Area of a triangle is calculated as: A_{t}=\frac{b.h}{2}.

The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.

The points on the x-axis are the roots of the quadratic equation:

a(x-3)(x+2)=0

(x-3)(x+2)=0

x - 3 = 0

x = 3

or

x + 2 = 0

x = -2

So, base is the distance between (-2,0) and (3,0).

Since they are in the same coordinate, distance will be:

b = 3 - (-2)

b = 5

Area of the triangle is 10. So constant a is

10=\frac{5.a}{2}

5a = 10.2

a = 4

The constant a of the function y = a(x-3)(x+2) is 4.

7 0
2 years ago
The two-way table shows the number of books of each type in Eliza's home ​what is the probability that a randomly selected refer
Salsk061 [2.6K]

Answer:

B. 0.4

Step-by-step explanation:

Use the definition of the probability

Pr=\dfrac{\text{Number of all favorable outcomes}}{\text{Number of all possible outcomes}}

You have to find the probability that a randomly selected reference book is hard cover. Hence, from the table

  • Number of all possible outcomes = Number of Reference books = 25
  • Number of all favorable outcomes = Number of Hardcover Reference books = 10

So, the probability is

Pr=\dfrac{10}{25}=\dfrac{40}{100}=0.4

6 0
3 years ago
Read 2 more answers
2 Question
Margarita [4]

Answer:

Net Change in Geno's Field Position = 22 yards

Step-by-step explanation:

Assuming Geno initial position before change is 0

Geno Gained 4 yards three times = 4*3 = 12yards

Geno lose 1 yard twice = 1*(-2) = -2yards

Geno Gained 6 yards twice = 6*2 = 12yards

Net Change in Geno's Field Position = 12 + (-2) + 12 yards

                                                            = 22 yards

4 0
2 years ago
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