Answer:
n=15
Step-by-step explanation:
5(n+1)=2n+20
U start by expanding the first term which will give you 5n+5
Then after that u collect like terms giving u
5n-2n=20-5
Finally u evaluate it giving u
n=15
Answer:
4 people name chocolate
Step-by-step explanation:
Let's first understand the given information.
The survey shows that 40 percent of a finite number of people name chocolate as their favorite flavor of ice cream. Because the survey is reporting a percentage, then 40% means that from 100 people 40 people name chocolate, while the others name a different type of flavor.
Dividing the total of people (100) by the ones who name chocolate (40) then we have:
100/40 = 2.5
Through the above equation we are actually expressing the following:
Total people = 2.5 * (people who name chocolate flavor)
Using this equation if we have now 12 people:
12 = 2.5 * (people who name chocolate flavor)
12/2.5 = (people who name chocolate flavor)
4.8 = people who chose chocolate flavor
Because we can't have 0.8 of a person, then if we have a sample of 12 people, we will expect that 4 of them name chocolate.
The area of a rectangle is L x W, so 9(5+x) is the formula for the area in factored form. It can be simplified to 45+9x
Answer:
The provided statement is TRUE.
Step-by-step explanation:
The function <em>f</em> is an expression in variable <em>x</em>.
The entire expression can either be denoted by f (x) or <em>y</em>.
For instance consider the quadratic expression:
f (x) = ax² + bx + c
≡ y = ax² + bx + c
So, on computing the value of f (2), it implies that we are computing the value of y for <em>x</em> = 2.
Thus, the provided statement is TRUE.
H=+15 m
v=+5 m/s
Ball hits the ground when h(t)=-15m
h(t)=-9.8t^2+vt+h
=>
-15=-9.8t^2+5t+15
9.8t^2-5t-30=0
Solve for t, using quadratic formula,
t=-1.513 or t=2.023
reject negative root due to context, so
t=2.023 seconds
2)
h(t)=-16t^2+20t+8
a. height before pitch is when t=0, or h(0)=8
b. highest point reached when h'(t)=-32t+20=0 => t=5/8 seconds
c. highest point is t(5/8)=-16(5/8)^2+20(5/8)+8=47/5=9.4 m
d. ball hits ground when h(t)=0 => solve t for h(t)=0
=> t=-0.3187 seconds or t=1.569 seconds.
Reject negative root to give
time to hit ground = 1.569 since ball was pitched.
