Answer:
3.06
Step-by-step explanation:
This means that 5 to the power of -2 is 
, meaning that:
Hope this helps!
Answer:
Option B) The simplification performed in step 2 is invalid or incorrect
The value of w in the given expression is -54
Step-by-step explanation:
Option B) The simplification performed in step 2 is invalid or incorrect
The corrected steps are given below :
GIven expression is 
and x=2y
To find w when y=-2 :
Step 1: I first substitute y=-2 into x=2y yielding x=2(-2)
Step2: I simplify the expression resulting in x=-4
Step3: I substitute x=-4 and y=-2 into the given expression we get
Step 4: I use order of operations to simplify and get
Therefore w=-54
The value of w in the given expression is -54
The solution of the given quadratic equation is x=-2 or x=-3.
The given quadratic equation is x²+5x+6=0.
<h3>What are different methods to solve a quadratic equation?</h3>
The different methods of solving quadratic equations are factoring, completing the square or using the quadratic formula.
By using the splitting middle term method we can solve x²+5x+6=0.
That is, x²+2x+3x+6=0
⇒x(x+2)+3(x+2)=0
⇒(x+2)(x+3)=0
⇒(x+2)=0, (x+3)=0
⇒x=-2 or x=-3.
Therefore, the solution of the given quadratic equation is x=-2 or x=-3.
To learn more about the quadratic equation visit:
brainly.com/question/2263981.
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Answer:
The time T takes to buy a fuel at a petrol station varies directly as the number of vehicles V on a quare and inversely as the number of pumps P available in the station. In a station with pumps, it took 10minutes to uel 20 vehicles. Find 1. The relationsip between T, P and V. 2. The time it will take to fuel 50 vehicles in the station with 2 pumps. 3. The number of pumps required to fuel 40 vehicles in 20 minutes.
Answer:
3m + 4c
Step-by-step explanation:
Whenever a word problem says the word earn that means the slope, also known as the rate of change, will be positive. Knowing this you can determine that both the caramel and milk chocolate slopes will be positive. After figuring all that out the only thing left to do is to make the equation. You know you have two slopes, and each slope needs a variable, so you will have to look back at the question. It is given that m represents the milk chocolate and c represents the caramel. Now all you have to do is make the slope the coefficient to the corresponding variable. The milk chocolates are 3 dollars, so the 3 goes in front of the m and the caramel chocolates are 4 dollars, so teh 4 goes in front of the 4. Since both slopes are positive no negatives or minus signs will be used in the equation. Knowing all this information you can now create the expression 3m + 4c.
