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alina1380 [7]
3 years ago
7

Steven runs a pizza shop. Since he added breakfast pizza to the menu, 54 out of 78 customers have ordered the new pizza. If Stev

en has 52 customers in the morning how many are likely to order breakfast pizza?
Mathematics
1 answer:
murzikaleks [220]3 years ago
5 0

Answer:

26 people are more and likely to order pizza in the morning.

Step-by-step explanation:

You might be interested in
A pond forms as water collects in a conical depression of radius a and depth h. Suppose that water flows in at a constant rate k
Scrat [10]

Answer:

a. dV/dt = K - ∝π(3a/πh)^⅔V^⅔

b. V = (hk^3/2)/[(∝^3/2.π^½.(3a))]

The small deviations from the equilibrium gives approximately the same solution, so the equilibrium is stable.

c. πa² ≥ k/∝

Step-by-step explanation:

a.

The rate of volume of water in the pond is calculated by

The rate of water entering - The rate of water leaving the pond.

Given

k = Rate of Water flows in

The surface of the pond and that's where evaporation occurs.

The area of a circle is πr² with ∝ as the coefficient of evaporation.

Rate of volume of water in pond with time = k - ∝πr²

dV/dt = k - ∝πr² ----- equation 1

The volume of the conical pond is calculated by πr²L/3

Where L = height of the cone

L = hr/a where h is the height of water in the pond

So, V = πr²(hr/a)/3

V = πr³h/3a ------ Make r the subject of formula

3aV = πr³h

r³ = 3aV/πh

r = ∛(3aV/πh)

Substitute ∛(3aV/πh) for r in equation 1

dV/dt = k - ∝π(∛(3aV/πh))²

dV/dt = k - ∝π((3aV/πh)^⅓)²

dV/dt = K - ∝π(3aV/πh)^⅔

dV/dt = K - ∝π(3a/πh)^⅔V^⅔

b. Equilibrium depth of water

The equilibrium depth of water is when the differential equation is 0

i.e. dV/dt = K - ∝π(3a/πh)^⅔V^⅔ = 0

k - ∝π(3a/πh)^⅔V^⅔ = 0

∝π(3a/πh)^⅔V^⅔ = k ------ make V the subject of formula

V^⅔ = k/∝π(3a/πh)^⅔ -------- find the 3/2th root of both sides

V^(⅔ * 3/2) = k^3/2 / [∝π(3a/πh)^⅔]^3/2

V = (k^3/2)/[(∝π.π^-⅔(3a/h)^⅔)]^3/2

V = (k^3/2)/[(∝π^⅓(3a/h)^⅔)]^3/2

V = (k^3/2)/[(∝^3/2.π^½.(3a/h))]

V = (hk^3/2)/[(∝^3/2.π^½.(3a))]

The small deviations from the equilibrium gives approximately the same solution, so the equilibrium is stable.

c. Condition that must be satisfied

If we continue adding water to the pond after the rate of water flow becomes 0, the pond will overflow.

i.e. dV/dt = k - ∝πr² but r = a and the rate is now ≤ 0.

So, we have

k - ∝πa² ≤ 0 ---- subtract k from both w

- ∝πa² ≤ -k divide both sides by - ∝

πa² ≥ k/∝

5 0
3 years ago
The question is Stephen read for 34 minutes on Monday and 45 minutes on Tuesday. Use breaking apart to find how many minutes Ste
user100 [1]
Breaking apart means that you just take the tens from each number, and the ones from each number, then add them up.


The tens from your numbers are:
30 from 34
40 from 45

The ones from your numbers are:
4 from 34
5 from 45

Now, you have to add up the tens and ones separately.
30 + 40 = 70
4 + 5 = 9

Finally, you add up those 2 numbers that you got- 70 and 9

The answer: Stephen read for 79 minutes total.
7 0
3 years ago
If anyone could help it would be greatly appreciated
Ira Lisetskai [31]

Answer:

Step-by-step explanation:

area of one triangle=(1/2)×6×4=12 m²

area of four triangles=4×12=48 m²

area of square=6×6=36 m²

total area=48+36=84 m²

4 0
3 years ago
How can patterns help me divide multiples of 10??
vfiekz [6]
There are two patterns
6 0
3 years ago
Read 2 more answers
The product of some negative number and 5 less than three times that number is 12. Find the number.
miv72 [106K]
(x)(3x - 5) = 12
3x^2 - 5x = 12
3x^2 - 5x - 12 = 0
(x - 3)(3x + 4) = 0
x = 3, -4/3
The answer must be negative so the number is -4/3.

Hope this helps!
4 0
3 years ago
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