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
Answer:
9.
Step-by-step explanation:
Count the number of digits after the first digit,
This is 9.
Answer:
7,13,37,55,103
Step-by-step explanation:
y = 5 + 2x^2
if x =1
y = 5 + 2(1)^2
1^2 = 1
2 x 1 = 2
y=5 + 2 or y = 7
you substatute each one in for x to solve for y
The slant height of the right circular cone will be 
<h3>What is slant height of cone? </h3>
The formula for the slant height of the cone is given as:
Here we have
r=2 units
h=4 units
By putting the values we will get
Hence the slant height of the right circular cone will be
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Answer:
f(1/3) = 9
Step-by-step explanation:
f(x) = 1/x + 2/x
f(1/3) = 1/(1/3) + 2/(1/3)
f(1/3) = 1(3) + 2(3)
f(1/3) = 3 + 6
f(1/3) = 9
