Answer:
Step-by-step explanation:
There are many numbers that lie between 0 and -1
Some common numbers are -1/4 , -1/2 , -3/4 , etc.........
Other numbers can be found by multiplying the numerator and denominator by the same number for example, 10
0/1 × 10/10 = 0/10
-1/1 × 10/10 = -10/10
Now the numbers between 0/10 and -10/10 are :
-1/10, -2/10....................................-9/10 etc.
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Answer:
The correct options are 1, 3 and 4.
Step-by-step explanation:
We need to find the expressions whose simplified form is a rational number.
Rational number: If a number is defined in the form of p/q where p and q are integers and q≠0, then it is called a rational number.
For example: 0,2, 4.3 etc.
Irrational number: If a number can not defined in the form of p/q, where p and q are integers and q≠0, then it is called an irrational number.
First expression is
12 is a rational number.
Second expression is
is an irrational number.
Third expression is
21 is a rational number.
Fourth expression is
5 is a rational number.
Therefore, the correct options are 1, 3 and 4.
We are given the functions:
<span>S (p) = 40 + 0.008 p^3 --->
1</span>
<span>D (p) = 200 – 0.16 p^2 --->
2</span>
T o find for the price in which the price of supply equals
demand, all we have to do is to equate the two equations, equation 1 and 2, and
calculate for the value of p, therefore:
S (p) = D (p)
40 + 0.008 p^3 = 200 – 0.16 p^2
0.008 p^3 + 0.16 p^2 = 160
p^3 + 20 p^2 = 20,000
p^3 + 20 p^2 – 20,000 = 0
Calculating for the roots using the calculator gives us:
p = 21.86, -20.93±21.84i
Since price cannot be imaginary therefore:
p = 21.86
Answer:
<2.1130913087, 4.53153893518>; <−3.03108891325, −1.75>; <−0.91799760455, 2.78153893518>
Step-by-step explanation:
Bruce's vector is <5cos(90-25), 5sin(90-25)> = <5cos(65), 5sin(65)> ≈ <2.1130913087, 4.53153893518>
The wind's vector is <3.5cos(270-60), 3.5sin(270-60)> = <3.5cos(210), 3.5sin(210)> ≈ <−3.03108891325, −1.75>
You add them together to find his actual motion:
<−0.91799760455, 2.78153893518>
