Answer:
y = 1.44x⁴
Step-by-step explanation:
From the question,
Y∝d²
To remove the proportionality sign we introduce a constant.
Y = kd²............... Equation 1
make k the subject of the equation
k = Y/d²............. Equation 2
Given: Y = 4, d = 10
Substitute these values into equation 2
k = 4/10²
k = 4/100
k = 0.04
Substitute these value of k in equation 1
Y = 0.04d²................ Equation 3
Similarly,
d∝x²,
d = Cx²
make C the subject of the equation
C = d/x²................... Equation 4
Given: d = 24, x = 2
Substitute into equation 4
C = 24/2²
C = 24/4
C = 6
Hence,
d = 6x²................... Equation 5
Substitute the value of d in equation 5 into equation 3
y = 0.04(6x²)²
y = 0.04(36x⁴)
y = 1.44x⁴
Hence the formula for y in terms of x is y = 1.44x⁴
$2.24 per pair and $1.86 per peach
17/40=0.425 hard to step by step but i think this is the answer. What i did was divide 40 and 17 because 17% is the same as 17/100
hope this helped
Answer:
V≈155.76ft³
Step-by-step explanation:
V≈155.76ft³ nearest 10th will be 160 ft3
Recall that sin²Ф+cos²Ф=1,
so cos²Ф=1-sin²Ф=(1+sinФ)(1-sinФ)
the (1-sinФ) in the numerator cancel with the (1-sinФ) in the denominator, the result is 1+sinФ
