Answer:
6 pounds
Step-by-step explanation:
1/4 times 3 = 3/4
3/8 times 2: 6/8 = 3/4
1/2 times 4: 4/2 = 2
5/8 times 4: 20/8 = 2 1/2
3/4 + 3/4 = 6/4 = 1 1/2
2 + 2 1/2 + 1 1/2 = 6 pounds
Answer:
- A) k = 18.75
- B) R(0.8) = 161419
- C) R(0.3) = 275
Step-by-step explanation:
<u>Given expression</u>
A) <u>Given</u>
<u>Solving for k</u>
- 10 = 6*e^(0.04k)
- e^(0.04k) = 10/6
- ln (e^0.04k) = ln (1.6666)
- 0.04k = 0.51
- k = 0.51/0.04
- k = 12.75
B) <u>Given</u>
<u>The value of R(0.8) is:</u>
- R(0.8) =
- 6*e^(0.8*12.75) =
- 6*e^(10.2) =
C) <u>Given</u>
<u>The value of R(0.3) is:</u>
- R(0.3) =
- 6*e^(0.3*12.75) =
- 6*e^(3.825) =
Answer:
EF = 58/7
Step-by-step explanation:
If you extend both BC and AD to meet at P you get 3 similar triangles PAB, PEF, and PCD. Let's call BF = 3x and FC = 4x. Therefore the following proportions can be expressed:
BP/7 = (BP+7x)/10
10BP = 7*(BP+7x)
10BP = 7BP+49x
3BP = 49x
BP = (49/3)x
BP/7 = (BP+3x)/EF
EF = (BP+3x)*7/BP
EF = ((49/3)x + 3x)*7/((49/3)x)
EF = ((58/3)x*7*3)/(49x)
EF = 58/7
One half subtracted by one fourth is one fourth.
1/2 - 1/4 = 1/4
