Standard form of equation is:
Ax+By=C where x and y are variables and A,B and C are constants.
Given equation is:
we have to make given equation in standard form.
simplifying given equation,we get
adding 4 to both sides of above equation,we get
adding 3x to both sides of above equation,we get
3x+y=13 is standard form of given equation where A=3,B=1 and C=13.
A jet climbs at a steady rate at an angle of inclination of 0.5 degree during take-off. What will its he height be after a 2.2 km initial ascent at this angle at this angle?
Answer: Height= 0.019km
Things to consider;
The distance of the jet at the angle 0.5°
The vertical distance of the jet from the ground
The horizontal distance of the jet
Using imaginary lines these three components will form a right angle triangle which provides us valuable information in calculating the height of the jet from the ground.
Using the formulae: Sine of an angle= opposite side/ hypotenuse side
Where the opposite side is the side opposite to the angle 0.5 which is the height of the jet.
The hypotenuse side is the distance of the jet at the angle 0.5
Therefore, Sine 0.5= height/ 2.2km
Height = Sine 0.5×2.2
Height = 0.0087×2.2= 0.019km
Hence the height is 0.019km
Ella stopped at a farm stand to buy some peaches. Peaches cost $1.35 per pound at the stand. Ella bought 4 peaches that weighed 1.6 pounds in total. How much did Ella pay for the peaches? Please help and explain how you did it!
Identify all the factors of the expression 4x2 +17x-15
Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a standard deviation of 4.5 inches. Calculate the range of horn lengths for the middle 99.7% of Texas longhorn cattle.
51 in.–60 in.
51 in.–69 in.
60 in.–73.5 in.
46.5 in.–73.5 in.
D. 46.5 in.–73.5 in.
We have been given that horn lengths of Texas longhorn cattle are normally distributed.
Since the empirical rule states that about 99.7% of the population lies within the 3 standard deviation. So according to normal distribution the range for the middle 99.7% of the values is: .
Upon substituting our given values we will get,
Therefore, the range of horn lengths for the middle 99.7% of Texas longhorn cattle is 46.5 inches to 73.5 inches and option D is the correct choice.