If x=4 , then . . .
... 7x = 28
... 7x+4 = 28+4 = 32
... absolute value of 32 is 32.
... -(absolute value of 32) = -32
Answer:
Step-by-step explanation:
Acceleration is second derivative of distance and are related as:
Integrating both sides w.r.to t
Using initial value
We have to calculate the distance covered in time interval [0,5], so:
![\int\limits^5_0 \frac{ds}{dt}=\int\limits^5_0 {\frac{1}{t+2}} \, dt\\\\s(t)=[ln|t+2|]^5_0\\\\s(t)=ln|5+2|+ln|0+2|\\\\s(t)=(ln|7|+ln|2|)\,ft](https://tex.z-dn.net/?f=%5Cint%5Climits%5E5_0%20%5Cfrac%7Bds%7D%7Bdt%7D%3D%5Cint%5Climits%5E5_0%20%7B%5Cfrac%7B1%7D%7Bt%2B2%7D%7D%20%5C%2C%20dt%5C%5C%5C%5Cs%28t%29%3D%5Bln%7Ct%2B2%7C%5D%5E5_0%5C%5C%5C%5Cs%28t%29%3Dln%7C5%2B2%7C%2Bln%7C0%2B2%7C%5C%5C%5C%5Cs%28t%29%3D%28ln%7C7%7C%2Bln%7C2%7C%29%5C%2Cft)
Answer:
the first and third option
Step-by-step explanation:
In the initial recipe, the ratio of tomato sauce to chile sauce is 1 : 3/2
To make it spicier this ratio has to be higher than the initial ratio
Ratio in the first option : 1/2 : 1 = 1 : 2
option 2 : if both recipes are double, the proportion of ingredients remain the same
oprion 3 : 1 : 3
option 4 : 1 : 1
option 5 : 1 : 5/3
General Idea:
Say if f(x) is the parent function, then f(x-c) represents transformation described as horizontal translation or shift of f(x) by ' c ' units to the right.
Applying the concept:
Here we are given a function 
, after the transformation of horizontal shift of 4 units to the right, the function will be given as below:
Answer:
= 36000 caps
Step-by-step explanation:
First we need to figure out how many minutes between 8 am and 3:30 pm
There are 7 hours and 30 minutes.
1 hour = 60 minutes
Multiply each by 7
7 hours = 7*60 minutes = 420 minutes
So 7 hours 30 minutes = 420 + 30 = 450 minutes
Bottle caps = rate * minutes
= 80 caps/minute * 450 minutes
= 36000 caps
