Answer:
Equation: -5 + 12
Overall change: 7 yards
Step-by-step explanation:
In the problem, it says "lost 5 yards". "Lost" is another way of saying subtraction or negative. Therefore, our starting number is -5.
The problem also says "gained 12 yards". "Gained" is another was of saying addition or positive. Therefore, our second number is positive 12.
Together, these two numbers look like this: -5 + 12. To add them, go 12 to the right of -5 if on a number line. That would be like this: -5, -4, -3, -2, -1, 0, etc until you get to 7 which should be 12 more than -5.
Therefore, the answer is 7 yards.
Answer:
Approximately mMK is 53 degrees
Step-by-step explanation:
Here, we want to find the length of MK
As we can see, we have a right triangle at LNK
so
let us find the angle at L first
9 is adjacent to the angle at L and also, 15 is the hypotenuse of the angle at L
so the trigonometric identity that connects adjacent to the hypotenuse is the cosine
It is the ratio of the adjacent to the hypotenuse
So;
cos L = 9/15
L = arc cos (9/15)
L = 53.13 degree
Approximately, L = 53 degrees
so now, we want to get the arc length MK
We are to use the angle-arc relationship here
Using this; arc length MK is equal to the measure of L at the center which is 53 degrees
Answer: 0.2119
Step-by-step explanation:
We assume that the random variable X is normally distributed.
Given : Population mean : 
Standard deviation : 
Z-score : 
Then, z-score corresponds to 116

By using the standard normal distribution table for z , we have


Hence, the required probability = 0.2119
Answer:
C.6
Step-by-step explanation:
Remember, a constant term is a term that keeps repeating. Also, it's the only term that doesn't contain a variable. In this equation, 6 is the constant.
Hope I helped!!!
So in this equation we're given that Ravi puts $350 into his account, this means that when W=0, S=350. Or that the y-intcpt(b) is 350.
when we find an equation we use slope intcpt formula:
y = mx + b
M in this case is the slope or the amount S
changes for every value of W. So if Ravi adds $70 every day that means the amount of money in his account increases by $70 everyday, so we can say m= 70
So putting together the equation with b= 350 and m = 70 we get :

Calculating for 17 weeks or W = 17

Ans: $1540