Answer:
The graph is shown below.
The time to make the taste to half is <u>4.265 s.</u>
Step-by-step explanation:
Given:
Initial value of the taste is, 
Therefore, the quality of taste over time 't' is given as:

Now, when the taste reduces to half, 
Therefore,

Taking natural log on both the sides, we get:

Therefore, the time to make the taste to half is <u>4.265 s.</u>
Answer:
The answers of all four questions are below.
Step-by-step explanation:
(5)4+2x=−2x+44
Step 1: Simplify both sides of the equation.
2x+4=−2x+44
Step 2: Add 2x to both sides.
2x+4+2x=−2x+44+2x
4x+4=44
Step 3: Subtract 4 from both sides.
4x+4−4=44−4
4x=40
Step 4: Divide both sides by 4.
4x/4=40/4
x=10
-----------------------------------------------------------------------------------------------------------------
(6)114−3x=194−11x
Step 1: Simplify both sides of the equation.
114−3x=194−11x
114+−3x=194+−11x
−3x+114=−11x+194
Step 2: Add 11x to both sides.
−3x+114+11x=−11x+194+11x
8x+114=194
Step 3: Subtract 114 from both sides.
8x+114−114=194−114
8x=80
Step 4: Divide both sides by 8.
8x/8 = 80/8
x=10
------------------------------------------------------------------------------------------------------
(7)4x-12=-2x+36
4x-12+12=-2x+36+12
4x=-2x+48
4x+2x=-2x+48+2x
6x=48
6x/6=48/6
x=8
-----------------------------------------------------------------------------------------------------------
(9)-3x+90=117-12x
-3x+90-90=117-12x-90
-3x=-12x+27
-3x+12x=-12x+27+12x
9x=27
9x/9=27/9
x=3
-------------------------------------------------------------------------------------------------------
Oh, and a tip if your having trouble with algebraic expressions I recommend you use mathpapa and symbolab when I was learning expressions this really helped me. Have a great day.




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What is integral ?
- Calculating an integral is called integration.
- Mathematicians utilize integrals to determine a variety of useful quantities, including areas, volumes, displacement, etc.
- When we discuss integrals, we often refer to definite integrals.
- For antiderivatives, indefinite integrals are utilized.
- Apart with differentiation, integration is one of the two main calculus subjects in mathematics (which measure the rate of change of any function with respect to its variables).
- It's a broad subject that is covered in courses at the higher grade levels, such classes 11 and 12.
- Broadly speaking, integration by parts and via substitution is explained.
- You will discover the definition of integrals in mathematics, the integration formulae, and examples here.
So the more about integral visit.
brainly.com/question/2289273
#SPJ4
The cost is the number of videos (V) times the cost of a video, plus the monthly fee.
C=2.25V+5
Answer:
Step-by-step explanation:
5
5+1=6
6+1+2=9
9+1+2×2=14
14+1+2×3=21
21+1+2×4=30
30+1+2×5=41 ANS