Answer: A 100
I did the text the other day
Answer:
63m
Step-by-step explanation:
Answer:
The sum of the two integers is 23
Step-by-step explanation:
Let one integer be x and the other integer be y
Then according to the statement "One positive integer is 3 greater than 4 times another positive integer.."
x be the integer that is One positive integer is 3 greater than 4 times another positive integer.
Then
x= 3+4y----------------------------------(1)
Product of the two integer is 76, this can written as
![x \times y =76](https://tex.z-dn.net/?f=x%20%5Ctimes%20y%20%3D76)
substituting the values of x from eq(1)
![( 3+4y) \times y =76](https://tex.z-dn.net/?f=%28%203%2B4y%29%20%5Ctimes%20y%20%3D76)
![3y + 4y^2 = 76](https://tex.z-dn.net/?f=3y%20%2B%204y%5E2%20%3D%2076)
![3y + 4y^2-76= 0](https://tex.z-dn.net/?f=3y%20%2B%204y%5E2-76%3D%200)
![4y^2 + 3y -76= 0](https://tex.z-dn.net/?f=%204y%5E2%20%2B%203y%20-76%3D%200)
Solving the quadratic equation equation we get
![x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
here
a = 4
b= 3
c = -76
susbtituting the above values in the formula
![y=\frac{-3 \pm \sqrt{3^2-4(4)(-76)}}{2(4)}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-3%20%5Cpm%20%5Csqrt%7B3%5E2-4%284%29%28-76%29%7D%7D%7B2%284%29%7D)
![y=\frac{-3 \pm \sqrt{9- 4(4)(-76)}}{8}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-3%20%5Cpm%20%5Csqrt%7B9-%204%284%29%28-76%29%7D%7D%7B8%7D)
![y=\frac{-3 \pm \sqrt{9- (16)(-76)}}{8}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-3%20%5Cpm%20%5Csqrt%7B9-%20%2816%29%28-76%29%7D%7D%7B8%7D)
![y=\frac{-3 \pm \sqrt{9- (-1216)}}{8}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-3%20%5Cpm%20%5Csqrt%7B9-%20%28-1216%29%7D%7D%7B8%7D)
![y=\frac{-3 \pm \sqrt{9 + 1216}}{8}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-3%20%5Cpm%20%5Csqrt%7B9%20%2B%201216%7D%7D%7B8%7D)
![y=\frac{-3 \pm \sqrt{1225}}{8}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-3%20%5Cpm%20%5Csqrt%7B1225%7D%7D%7B8%7D)
y= 4 y = −4.75
Since in the question it is given that it is a positive integer
so y = 4
substituting y=4 in eq (1) we get,
x= 3+4(4)
x= 3+16
x= 19
The sum of the two integers
=> x + y
=> 19+4
=>23
Answer:
Chubby ran a distance of 6,283 m
Step-by-step explanation:
The length of one run is simply equal to the circumference of the circle
Mathematically, C = pi * d
C = 22/7 * 20 = 62.83 cm
So if one rotation is a distance of 62.83 cm, then 100 rotations will be a distance of;
62.83 * 100 = 6,283 m
Answer:
Check below
Step-by-step explanation:
With the information given, let's consider some aspects of Sandy Beach behavior.
1. Sandy Beach
Let's calculate the period of this function
![t=4sin(s)+5](https://tex.z-dn.net/?f=t%3D4sin%28s%29%2B5)
![T=\frac{2\pi}{b} \:b=1 \:in \:this \:case](https://tex.z-dn.net/?f=T%3D%5Cfrac%7B2%5Cpi%7D%7Bb%7D%20%5C%3Ab%3D1%20%5C%3Ain%20%5C%3Athis%20%5C%3Acase)
![T=\frac{2\pi}{1} \therefore T= 2\pi](https://tex.z-dn.net/?f=T%3D%5Cfrac%7B2%5Cpi%7D%7B1%7D%20%20%5Ctherefore%20T%3D%202%5Cpi)
The Period of sin function is ![2\pi](https://tex.z-dn.net/?f=2%5Cpi)
2. Verifying the Range, in this case the lapse of time.
A <em>sin</em> function varies from -1 to 1, i.e.
![-1\leq sin(s) \leq1 \therefore-4\leq 4sin(s)\leq4 \\ adding \:the\:5\\-4+5\leq 4sin(s)\leq4+5\\\\\1\leq4sin+5\leq9 \therefore t=[1,9]\\](https://tex.z-dn.net/?f=-1%5Cleq%20sin%28s%29%20%5Cleq1%20%5Ctherefore-4%5Cleq%204sin%28s%29%5Cleq4%20%5C%5C%20adding%20%5C%3Athe%5C%3A5%5C%5C-4%2B5%5Cleq%204sin%28s%29%5Cleq4%2B5%5C%5C%5C%5C%5C1%5Cleq4sin%2B5%5Cleq9%20%5Ctherefore%20t%3D%5B1%2C9%5D%5C%5C)
So, within an interval form 1 to 9 hours the waves at Sandy Beach come and go.
3. Check the graph below.