Answer:
Step-by-step explanation:
Let x represent the number of video games that Kevin rents.
Let y represent the total amount that he paid for x video games rental.
The slope intercept form of an equation is expressed as
y = mx + c
Where
m = slope
c = intercept
When Kevin rented 2 games, he had spent a total of $25 of his money. When Kevin rented 2 more video games (4 total), he then had spent $30 total of his money at this store all together. Therefore,
Slope, m = (30 - 25)/(4 - 2) = 5/2 = 2.5
To determine the intercept, c, we will substitute m = 2.5, x = 4 and y = 30 into y = mx + c. It becomes
30 = 2.5 × 4 + c
30 = 10 + c
c = 30 - 10 = 20
The Slope-Intercept Form to model how much Kevin pays per x video game rentals with his store membership becomes
y = 2.5x + 20
The cost per video game rental is $2.5
The membership fee is $20
Answer:
I hope this helps :D
Step-by-step explanation:
4
It can be done a lot easier: instead of calculating the probability of one head, two heads, three heads, ... one just needs to calculate the probability of no heads: that is simply 0.5
0.5
n
. If you subtract it from 1, you get the probability you want: it's because that's the chance of not no heads, meaning at least one head. So, the formula is: 1−0.5
1
−
0.5
n
More formally: if X is throwing at least one head,
()=1−(¬)
P
(
X
)
=
1
−
P
(
¬
X
)
, where ¬
¬
X
is throwing zero heads.
Answer:
the Pythagorean theorem states: a^2 + b^2 = c^2
1) in this case a=18 and b1=25
18^2 + 25^2 = c1^2
324 + 625 = c1^2
949 = c1^2
√949 = c1
cca. 30.8 = c1
2) in this case a=18 and b' = b2 - b1 = 40 - 25 = 15
in the picture im attaching i highlighted the triangles we are working with, and there you can clearly see that b' (the horizontal line at the bottom of the red tr.) is the difference between the lines b2 and b1
now you can use the same technique as in the first case, and the final answer will be cca. 23.4 = c2
3) in this case a=18 and b'' = b4 - b3 = 75 - 55 = 20
same thing as number 2, final answer cca. 26.9 = c3
Answer:
144
Step-by-step explanation:
3+15=18
18 multiply 8=144 is the height after 8 years
Answer: 22
Step-by-step explanation: Divide the total by pi or 3.14 and the diameter is 22 and the radius is 11