Answer:
2. ) {25}^{2x} - 1 = {125}^{3x} + 4
=> {25}^{2x} = {125}^{3x} + 4 +1
=> {(5)^(2)}^{2x} = {(5)^(3)}^{3x} + {5}^{1}
=> {5}^{4x} = {5}^{9x} + {5}^{1}
=> 4x = 9x + 1
=> 4x - 9x = 1
=> - 5x = 1
=> x = 1/-5
Answer:The function v(x) has the largest value when x = 4.
Solution:
x=4;
e(4) = 4^2 + 6×4 + 21=16+24+21=61
m(4) = 8×4=32
v(4) = 31×4=124
v(4)>e(4)>m(4)
Therefore,The function v(x) has the largest value when x = 4.
Answer:
about $1148.06
Step-by-step explanation:
Your goal is to find the area of the island of grass and multiply that area by the cost per square yard.
Area = radius * radius * pi
You are told that the <em>diameter = 15 yards</em>. We also know that the radius that we need is half of the diameter. <em><u>Radius = 7.5 yards</u></em>.
This means that the <em>Area = 7.5 * 7.5 * 3.14 = 176.625 square yards</em>
Then we multiply by the cost per square yard:
176.625 * 6.50 = 1148.06 is your answer
Answer:
3.113, 4.507
Step-by-step explanation:
From the given values:
Mean = 3.81
Standard deviation = 1.74
Therefore
M = √(1.72/18) = 0.4
μ = M ± t(sM)
μ = 3.81 ± 1.74*0.4
μ = 3.81 ± 0.697
Recall that the mean is estimated at 90% confidence level,
Hence,
= 90% CI [3.113, 4.507]
Answer: yea -1/2 is the slope
Step-by-step explanation: