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Veseljchak [2.6K]
3 years ago
15

A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the radius of the b

ubbles is about 0.3 mm. According to the formula below, what would be the volume of one of these bubbles?
Mathematics
2 answers:
adell [148]3 years ago
5 0
Okay, can we all just agree that this is sillier then the man who bought 27 watermelons? The volume for one of the bubbles is about 0.11mm. 
ohaa [14]3 years ago
4 0

Answer: About 0.11 cubic mm.

Step-by-step explanation:

We assume the shape of bubbles is spherical.

The volume of sphere is given by :-

\text{Volume}=\dfrac{4}{3}\pi r^3

Given : The radius of bubbles is about 0.3 mm.

Then , the volume of one bubble will be :-

\text{Volume}=\dfrac{4}{3}(3.14) (0.3)^3=0.11304\approx0.11

Hence, the volume of one of these bubbles = 0.11 cubic mm.

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A bus needs to cover a distance of 240 km in less than 5 hours. Which of the following inequality represents the speed (s) of th
Len [333]

Answer:

Step-by-step explanation:

Let s represent the speed of the bus.

From the information given, the bus needs to cover a distance of 240 km in less than 5 hours. The formula for calculating the speed of the bus, s is expressed as

Speed, s = distance covered by the bus/ time taken to cover the distance

Therefore,

Speed, s = 240/5 = 48 km/hr

A higher speed would ensure the bus covers the distance in less than 5 hours. Therefore, the inequality that represents the speed (s) of the bus would be

s ≥ 48

7 0
3 years ago
HELP<br> Which of the lines below has a slope of 0?
Juliette [100K]

Answer:

C has a zero slope

Step-by-step explanation:

A horizontal line has a slope of zero

A vertical line has an undefined slope

A positive slope goes up from left to right

A negative slope goes down from left to right

4 0
3 years ago
Find slope for 2x+5y=8?
Nitella [24]
First thing, you need to transform this equation to the form of y = ax + b

So you get:
2x + 5y = 8
5y = -2x + 8
y =  -\frac{2}{5} x +  \frac{8}{5}

In the form of y = ax + b, a is the slope.
In y = -\frac{2}{5} x + \frac{8}{5}, you can see "- \frac{2}{5} x", and always the number before x is the slope
So, the slope of 2x + 5y = 8 is - \frac{2}{5}

Hope this Helps :)
7 0
3 years ago
Read 2 more answers
What is the explicit formula for this sequence?
Zarrin [17]

Step-by-step explanation:

The above sequence is a geometric sequence

For an nth term in a geometric sequence

a(n) = a ({r})^{n - 1}

where

n is the number of terms

a is the first term

r is the common ratio

From the question

a = 5

r = 10/5 = 2

Therefore the explicit formula for this sequence is

a(n) = 5( {2})^{n - 1}

Hope this helps you

8 0
3 years ago
This is so confusing all of it makes no sense
Tom [10]

Answer:

D). 4\sqrt{2}

Step-by-step explanation:

<u>STEP 1a:</u> Find the last angle of the triangle. ( which is angle A)

A+90+45=180

<u>STEP 1b:</u> Solve the equation for A by adding 90 and 45.

A+135=180

<u>STEP 1c:</u> Then Move all terms not containing A to the right side of the equation by subtracting 135 from both sides of the equation

A=180-135

<u>STEP 1d:</u> Subtract 135 from 180.

A=45

STEP 2a: Find side b next.

STEP 2b: The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(A)=\frac{adj}{hyp}

STEP 2c: Substitute the name of each side into the definition of the cosine function.

cos(A)=\frac{b}{c}

STEP 2d: Set up the equation to solve for the adjacent side, in this case b.

b=c*cos(A)

STEP 2e: Substitute the values of each variable into the formula for cosine.

b=8*cos(45)

STEP 2f: Cancel the common factor of 2.

a=4\sqrt{2}

HOPE THIS HELPS!

4 0
2 years ago
Read 2 more answers
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