<u><em>Answer:</em></u>
<u>The rule is: </u>
T(x) = 8x + 20
<em><u>Explanation:</u></em>
<u>We are given that:</u>
<u>The rule for the amount that one friend pays is:</u>
C(x) = 2x + 5
<u>Now, we know that:</u>
Each of the four friends will pay the entry fee which is $5 per person
The 4 friends will play the same number of games represented by x
<u>This means that:</u>
We can simply get the rule for the total amount to be paid by the four friends (T(x)) by multiplying the amount paid by each friend by 4
<u>This means that:</u>
T(x) = 4 * C(x)
T(x) = 4(2x + 5)
T(x) = 8x + 20
Hope this helps :)
Step-by-step explanation:
39500 x 103 = 4,068,500
in scientific notation, that ia 4.0685 x 10⁶
Answer:
r= 0
r= 1
b= -3
x= -3
Step-by-step explanation:
4r-8r=0
-4r=0
r=0
-15=-8r-7r
-15= -15r
r=1
3b+7-1=-3
3b= -3-7+1
3b= -9
b= -9/3
b=-3
3x+1-6x=7
-3x= 7-1
-3x= 6
x= -6/3
x= -3
Answer:
- 0.100
Step-by-step explanation:
Length of the ladder, H = 6 m
Distance at the bottom from the wall, B = 1.3 m
Let the distance of top of the ladder from the bottom at the wall is P
Thus,
from Pythagoras theorem,
B² + P² = H² .
or
B² + P² = 6² ..............(1) [Since length of the ladder remains constant]
at B = 1.3 m
1.3² + P² = 6²
or
P² = 36 - 1.69
or
P² = 34.31
or
P = 5.857
Now,
differentiating (1)

at t = 2 seconds
change in B = 0.3 × 2= 0.6 ft
Thus,
at 2 seconds
B = 1.3 + 0.6 = 1.9 m
therefore,
1.9² + P² = 6²
or
P = 5.69 m
on substituting the given values,
2(1.9)(0.3) + 2(5.69) ×
= 0
or
1.14 + 11.38 ×
= 0
or
11.38 ×
= - 1.14
or
= - 0.100
here, negative sign means that the velocity is in downward direction as upward is positive
Answer:
I got -16w^5/v^3 as well
Step-by-step explanation: