Answer:
The average of the diameter readings is 4.34 cm.
Step-by-step explanation:
We are given the following data set(cm):
4.32, 4.35, 4.31, 4.36, 4.37, 4.34
Formula:
Thus, the average of the diameter readings is 4.34 cm.
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
A(2,6) translation <span>A=(4,-5)
4 - 2 = 2
-5 - 6 = -11
rule
(x) --->(x + 2) (shifted 2 units to the right)
(y) --->(y - 11) (shifted 11 units down)
</span>
Answer: 5000
Step-by-step explanation:
Let L and H represent length and height, respectively.
.. 20 ft = (4/5)*L
.. L = (5/4)*(20 ft) = 25 ft . . . . . . . . multiply by the reciprocal of the coefficient of L
.. H = (2/9)*(L +20 ft)
.. = (2/9)*(25 ft +20 ft))
.. = (2/9)*(45 ft) = 10 ft
The volume is the product of length, width, and height.
.. V = (25 ft)*(20 ft)*(10 ft) = 5000 ft^3
Answer:
2√5
Step-by-step explanation:
The Pythagorean theorem tells you how to find the distance from the origin.
d = √((-2)² +4²) = √20 = 2√5
The vector's magnitude is 2√5 ≈ 4.47214.
