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3 years ago

What are the different ways to cook potatoes?

Mathematics

2 answers:

kiruha [24]3 years ago

3 0

Boil, Broil, bake, fried, and mashed.

4vir4ik [10]3 years ago

3 0

Um, this isn't Mathematics, but I'll humor you
Boiled, baked, made into soup, cut and put in the oven to make fries, made into chips through a process, roasted, and mashed are the most common ways.

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Water is being pumped into a conical tank that is 8 feet tall and has a diameter of 10 feet. If the water is being pumped in at

Deffense [45]

The rate of change of the depth of water in the tank when the tank is half

filled can be found using chain rule of differentiation.

When the tank is half filled, the depth of the water is changing at 1.213 ×

10⁻² ft.³/hour.

Reasons:

The given parameter are;

Height of the conical tank, h = 8 feet

Diameter of the conical tank, d = 10 feet

Rate at which water is being pumped into the tank, = 3/5 ft.³/hr.

Required:

The rate at which the depth of the water in the tank is changing when the

tank is half full.

Solution:

The radius of the tank, r = d ÷ 2

∴ r = 10 ft. ÷ 2 = 5 ft.

Using similar triangles, we have;

$\dfrac{r}{h} = \dfrac{5}{8}$

The volume of the tank is therefore;

$V = \mathbf{\dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h}$

$r = \dfrac{5}{8} \times h$

Therefore;

$V = \dfrac{1}{3} \cdot \pi \cdot \left( \dfrac{5}{8} \times h\right)^2 \cdot h = \dfrac{25 \cdot h^3 \cdot \pi}{192}$

By chain rule of differentiation, we have;

$\dfrac{dV}{dt} = \mathbf{\dfrac{dV}{dh} \cdot \dfrac{dh}{dt}}$

$\dfrac{dV}{dh}=\dfrac{d}{h} \left( \dfrac{25 \cdot h^3 \cdot \pi}{192} \right) = \mathbf{\dfrac{25 \cdot h^2 \cdot \pi}{64}}$

$\dfrac{dV}{dt} = \dfrac{3}{5} \ ft.^3/hour$

Which gives;

$\dfrac{3}{5} = \mathbf{\dfrac{25 \cdot h^2 \cdot \pi}{64} \times \dfrac{dh}{dt}}$

When the tank is half filled, we have;

$V_{1/2} = \dfrac{1}{2} \times \dfrac{1}{3} \times \pi \times 5^2 \times 8 =\mathbf{ \dfrac{25 \cdot h^3 \cdot \pi}{ 192}}$

Solving gives;

h³ = 256

h = ∛256

$\dfrac{3}{5} \times \dfrac{64}{25 \cdot h^2 \cdot \pi} = \dfrac{dh}{dt}$

Which gives;

$\dfrac{dh}{dt} = \dfrac{3}{5} \times \dfrac{64}{25 \cdot (\sqrt[3]{256}) ^2 \cdot \pi} \approx \mathbf{1.213\times 10^{-2}}$

When the tank is half filled, the depth of the water is changing at 1.213 × 10⁻² ft.³/hour.

Learn more here:

brainly.com/question/9168560

6 0

3 years ago

What is the exact value of sin(75^0)

____ [38]

75^0 = 1
so if you use radian it is 0.841if you use degree it is 0.017
anyway we usually make an approximation of sin(1) to 1

7 0

3 years ago

Translate the sentence and solve: "2 less than a number is 25"

Salsk061 [2.6K]

(the number) - 2 = 25

(the number) = 25 + 2
(the number) = 27

3 0

3 years ago

Read 2 more answers

Suppose you had $6.00 to buy bananas and apples. Bananas cost $0.49 per pound and apples cost $0.34 per pound. Write a linear eq

Andrej [43]

Answer:

Step-by-step explanation:

ok ok ok ok ok ok ok ok

5 0

3 years ago

Convert log_8 1=0 into an exponential equation o 1^0=8 O 0^8=1 o '8^0=1 o '8^=8

Ilia_Sergeevich [38]

Given:

The logarithmic equation is:

$\log_81=0$

To find:

The exponential equation for the given logarithmic equation.

Solution:

We have,

$\log_81=0$

It can be rewritten as:

$8^{\log_81}=8^{0}$

Using $a^{\log_ax}=x$ , we get

$1=8^0$

$8^0=1$

Therefore, the correct option is C.

6 0

3 years ago