<em>Evaluate 1/4c+3d when c=6, and d=7.</em>
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Replace c with 6, and d with 7:-
On simplification,
On further simplification,
On further simplification,
Adding the numerators,
Finally, Reducing the fraction:-
<h3>Good luck with your studies.</h3>
Answer:
Constant of proportionality,
Step-by-step explanation:
Constant of proportionality states that the constant value of the ratio of two proportional quantities x and y,
it is written in the form of y = kx, where k is the constant of proportionality.
Given the equation: .....[1]
where r is the constant of proportionality.
From the table we consider
x = 14 and y = 1.4
Substitute these given values in [1] to solve for r;
Divide both sides by 14 we get;
therefore, the Constant of proportionality,
Answer:
6.68 %.
Step-by-step explanation:
The standardised z-score = ( 10.95 - 10.5) / 0.3
= 1.5.
Looking up the Normal Distribution tables ( area to the left) 1.5 corresponds to 0.93319 so for a weight above 10.95 the proportion is
1 - 0.93319 = 0.06681
= 6.68%.
Answer:
length of each side of the room is 2√30 which is approximately 10.9545 ft
Explanation:
The area of the square can be computed as follows:
Area = l²
where l is the length of the side
We are given that:
area = 120 ft²
Substitute with the area in the above equation and solve for l as follows:
area = l²
120 = l²
l = √120
l = 2√30 ft
This is approximately equal to 10.9545 ft
Hope this helps :)
Answer: s > 5
Step-by-step explanation:
-s² + 25s - 100 > 0
Coefficient of s² is -1, multiply the equation through by -1.
-1 × (-s² + 25s - 100)
s² — 25s + 100
ax² + bx + c
Then you get the factors x and y that gives x + y = b and xy = c
b = -25 and c = 100, x = -20 and y = -5
-20 × -5 = 100 and -20 + -5 = -25
Then
s² — 20s — 5s + 100 > 0
Factorising,
s (s — 20) — 5(s — 20) > 0
(s — 5)(s — 20) > 0
(s — 5) > 0 and (s — 20) > 0
s>5 and s>20
s > 5
Hope this Helps?
