MATHEMATICS HIGH SCHOOL

A beverage manufacturer performs a taste-test and discovers the people like their fizzy beverages best when the radius of the bubbles is about 0.5 mm. According to the formula below, what would be the volume of the one of these bubbles?

Answers

Answer 1

Answer:

The volume of the sphere will be 0.52 cubic mm. Then the correct option is C.

What is the volume of the sphere?

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

The expression is given below.

$\rm r = \sqrt[3]{(3V)/(4\pi)}$

Where r is the radius of the sphere and V is the volume of the sphere.

A beverage manufacturer performs a taste test and discovers that people like their fizzy beverages best when the radius of the bubbles is about 0.5 mm.

The expression is solved for V, then the equation will be

$\rm r^3 = (3V)/(4\pi)\n\nV = (4)/(3)\pi r^3$

Then the volume of the sphere will be

V = (4/3) × π × 0.5³

V = 0.52 cubic mm

Thus, the volume of the sphere will be 0.52 cubic mm.

Then the correct option is C.

More about the volume of the sphere link is given below.

brainly.com/question/9994313

#SPJ5

Answer 2

Answer:

Answer with explanation:

Radius of the Bubble = 0.5 mm

Volume of the bubble is given by the formula

$r=[(3V)/(4\pi)]^{(1)/(3)}$

Taking cube on both sides

$V=(4\pi* r^3 )/(3)\n\n V=(4*3.14*(0.5)^3)/(3)\n\nV=(12.56* 0.125)/(3)\n\n V=(1.57)/(3)\n\nv=0.52333....$

Gives,→ V=0.52 mm³(approx)

Option C: about 0.52 mm³

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The bottom of a box has a surface area of 31.4 cm2. The mass of the box is 47.1 kilograms. Acceleration due to gravity at sea level is 9.80 m/s2. What pressure is exerted by the box where it rests?14.7 N
1.5 N
0.153 N
6.53 N

Answers

The correct answer to the physics problem in pressure given above would be 1.5 N.

First, I converted the cm^2 to m^ 2 (31.4 cm^2 = .00314 m^2).

Then I computed for the force (F= mg = (47.1kg)(9.8m/s^2) = 461.58 N)

Consequently, I used the equation of pressure (P = Force/Area).
P = 461.58 N / .00314 m^2
P = 1.47 or 1.5 N

Answer:

Pressure = 147,000 N.

Step-by-step explanation:

Given : The bottom of a box has a surface area of 31.4 cm². The mass of the box is 47.1 kilograms. Acceleration due to gravity at sea level is 9.80 m/s².

To find : What pressure is exerted by the box where it rests.

Solution : We have given that area of box = 31.4 cm²

First we convert it in meter².

1 meter = 100 cm

31.4 cm² = 0.00314 meter².

Mass of box = 47.1 kg

Acceleration due to gravity = 9.80 m/s².

According to Newton second law of motion , F = mass * Acceleration due to gravity.

F = 47.1 * 9.8

F = 461.58 Newton.

Pressure = $(Force)/(Area)$ .

Plugging the values of force and area.

Pressure = $( 461.58)/(0.00314)$ .Pressure

Pressure = 147,000 N.

Therefore, Pressure = 147,000 N.

Help me with this question i don’t understand what to do

Answers

Answer:

- 36

Step-by-step explanation:

First evaluate g(18), then substitute the value obtained into h(x), then substitute the value obtained here into f(x).

g(18) = $√(2(18))$ = $√(36)$ = 6, then

h(6) = | 4(6) | - 12 = | 24 | - 12 = 24 - 12 = 12, then

f(12) = - 3(12) = - 36

Need a little help on this :)

Answers

Answer:

Step-by-step explanation:

Have A Great DAY!!!

Answer:

D. Charles, John, Thomas, Yurly

Step-by-step explanation:

I started by finding the greatest jump- Yurly. Since you have to order the names from least to greatest, Yurly would be last. Option D is the only option where Yurly is last, therefore option D would be the only possible correct option.

An accident victim gets 0.5 pints (pt) of blood and 750 milliliters (mL) of an intravenous (IV) solution. What is the ratio of blood to the intravenous solution in lowest terms?

Answers

1 pt= 437.1765 mL
0.5 pt= 0.5x437.1765= 218.58825 mL
Ratio = 218.58825/750= 0.2915 % =29.15%

In the circle graph above, you can see that 47% of the company's monthly income is used to pay the owner's personal salary. If the amount of the owner's personal salary was $2,176.10 this month, what was
the company's total monthly income this month?

Answers

x is the company's monthly income
x*0.47 = 2176.10, owner's salary
solve for x

Show that (4-√3)(4+√3)/√13 simplifies to root 13

Answers

13 is a prime number, there is no simpler form for its square root .

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Can you answer this for me pls i need it ASAP