Step-by-step explanation:

Answer:
373.8mmHg
Step-by-step explanation:
a =height (in km) above sea level,
the pressure P(a) (in mmHg) is approximated given as
P(a) = 760e–0.13a .
To determine the atmospheric pressure at 5.458 km, then we will input into the equation
P(5.458km) = 760e–0.13a .
= 760e^(-0.13×5.458)
=760e^-(0.70954)
= 760×0.4919
=373.8mmHg
Therefore, the atmospheric pressure at 5.458 km is 373.8mmHg
1/5 are dogs.
1/5 x 2700 = 540
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Answer: There are 540 dogs.
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Answer:
The amount Nat gives to Jon is £1.2
Step-by-step explanation:
The initial amount of money Jon has = 52 p
The initial amount of money Nat has = £2.92
Given that 100 p = £1, and £0.01 = 1 p we have
The total amount of money both Nat and Jon has = £2.92 + 52 p = £3.44
Dividing the total amount by 2 so that each as the same amount of money gives;
£3.44/2 = £1.72
Therefore, the amount Nat gives to Jon, A, is the difference between the initial amount that Nat has and £1.72 which is given as follows;
A = £2.92 - £1.72 = £1.2
The amount Nat gives to Jon = A = £1.2.
Answer:
The sheet should be turned up 7.5cm on each side to obtain maximum volume.
Step-by-step explanation:
If we make a rectangular eavesdrop, by bending the sheet along dotted line, then.
Height of eaves trough = x cm
Length of eaves trough = 600 cm
Width of eaves trough = (30 - 2x) cm
We know that Volume is given by:
V = Length · Width · Height
V = (x)(30 - 2x)(600)
V = -1200x² + 18000x
To maximize the volume, we take the derivative and put it equal to zero.
