Answer: ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
Step-by-step explanation:
You can reduce the fractions, then:
![\frac{64}{64}=1](https://tex.z-dn.net/?f=%5Cfrac%7B64%7D%7B64%7D%3D1)
![\frac{9}{12}=\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B12%7D%3D%5Cfrac%7B3%7D%7B4%7D)
![\frac{6}{12}=\frac{3}{6}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B12%7D%3D%5Cfrac%7B3%7D%7B6%7D%3D%5Cfrac%7B1%7D%7B2%7D)
Rewrite them as following:
![1,\frac{3}{4},\frac{1}{2}](https://tex.z-dn.net/?f=1%2C%5Cfrac%7B3%7D%7B4%7D%2C%5Cfrac%7B1%7D%7B2%7D)
If you subtract the first number and the second number, you obtain:
![1-\frac{3}{4}=\frac{1}{4}](https://tex.z-dn.net/?f=1-%5Cfrac%7B3%7D%7B4%7D%3D%5Cfrac%7B1%7D%7B4%7D)
If you subtract the second number and the second number, you obtain:
![\frac{3}{4}-\frac{1}{2}=\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D-%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B4%7D)
Therefore, you must subtract
and
to obtain the number asked. Then, this is:
![\frac{1}{2}-\frac{1}{4}=\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D-%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B1%7D%7B4%7D)
Answer: y= - 4x+18
Step-by-step explanation:
Equation: y=mx+b
***remember: b is the y-intercept and m is the slope.
m=![\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
3= x1
2= x2
6= y1
10=y2
m=
=
= -4
m=-4
Now we have y=-4x+b , so let's find b.
You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:
(3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.
(2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.
Equation of the line: y=-4x+18
The most basic and common reason to use parentheses, brackets, and braces is to control the order of operations.
<h3>What are parentheses?</h3>
In mathematics, parenthesis is used to arrange numbers in the sequence of operations, clarify numbers, and denote multiplication.
Suppose you have an expression as:-
E = { ( 5-2 )8} 6
In this case, you would calculate 5 minus 2 first (parentheses), then multiply by 8 (brackets), then complete the part inside the curly braces, and finally multiply by 6.
Therefore the most basic and common reason to use parentheses, brackets, and braces is to control the order of operations.
To know more about parentheses follow
brainly.com/question/1778745
#SPJ1
Answer:
5.5 minutes
Step-by-step explanation:
Fill in the given information and solve for t.
75 = -15cos(2πt/15) +65
-10/15 = cos(2πt/15)
t = 15/(2π)arccos(-2/3) ≈ 5.492
The volume reaches 75 dB about 5.5 minutes after the truck arrives.