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3 years ago

when a spherical balloon filled with air diameter of 6 inches what's the volume of balloon in cubic inches

Mathematics

2 answers:

Fudgin [204]3 years ago

5 0

Answer:

Step-by-step explanation:

Cerrena [4.2K]3 years ago

3 0

Volume of sphere: V(s) = 4/3*pi*R^3 = (4/3)*pi*(D/2)^3 = (1/6) * pi * D^3

Volume of cube: V(c) = s^3

Volume of them is the same, I'm assuming you actually want to know the length of the cubic vertice

So s^3 = (1/6)*pi*D^3 -> s = (1/6 * pi)^1/3 * 6 = (36pi)^1/3

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Use the fact that (a^x)^y=a^xy to prove that log a^(b^y)= y•log a^b

raketka [301]

Answer:the answer is 45x

Step-by-step explanation:

4 0

2 years ago

Perform the following operation

Cerrena [4.2K]

Answer:

When you multiply an odd number of negatives you get a negative result. When you multiply an even number of negatives you get a positive result.

First, multiply normally.

25x10x5

1100

Then determine whether the sign is positive or negative. Since there is an odd number of negatives, the sign is negative.

So, the answer is -1100.

7 0

3 years ago

I have to find the slope for 4. ASAP please help

Lorico [155]

Given:

The objective is to find the slope of the straight line.

Explanation:

The general equation to find the slope is,

$m=\frac{y_2-y_1}{x_2-x_1}$

Let's consider two coordinates from the graph.

$\begin{gathered} (x_1,y_1)=(0,0) \\ (x_2,y_2)=(-1,5) \end{gathered}$

On plugging the values in the equation of slope,

$\begin{gathered} m=\frac{5-0}{-1-0} \\ m=-5 \end{gathered}$

Hence, the slope of the straight line is -5.

3 0

1 year ago

Five friends take a maths test

gulaghasi [49]

Answer:

Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.

Step-by-step explanation:

Since five friends took the maths test, and Adam, Brandon, and Chen together together scored 200 marks; Brandon, Chen and Damion together scored 215; Chen, Damion and Erica together scored 224; and Damion and Erica scored more than Chen; While the five of them together scored 350 marks, to determine what are their individual scores the following calculations must be performed:

Adam + Brandon + Chen = 200

Damion + Erica = 150

Brandon + Chen + Damion = 215

Adam + Erica = 135

Chen + Damion + Erica = 224

Adam + Brandon = 126

Adam + Brandon = 126 + Chen = 200

Chen = 200 - 126

Chen = 74

Damion and Erica scored more than Chen

Chen + Damion + Erica = 224

74 + Damion + Erica = 224

Damion + Erica = 150

Damion = 75

Erica = 75

Brandon + Chen + Damion = 215

Brandon + 74 + 75 = 215

Brandon = 215 - 74 - 75

Brandon = 66

Adam = 350 - 75 - 75 - 74 - 66

Adam = 60

Therefore, Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.

3 0

3 years ago

A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 8% of t

IRINA_888 [86]

Answer: 0.206

Step-by-step explanation: the probability of employees that needs corrective shoes are =8%= 8/100 = 0.08

Probability of employees that needs major dental work = 15% = 15/100 = 0.15

Probability of employees that needs both corrective shoes and dental work = 3% = 3/100 = 0.03

The probability that an employee will need either corrective shoes or major dental work = (Probability an employee will need correct shoes and not need dental work) or (probability that an employee will need dental work or not corrective shoes)

Probability of employee not needing corrective shoes = 1 - 0.08 = 0.92

Probability of employee not needing dental work = 1 - 0.15 = 0.85

The probability that an employee will need either corrective shoes or major dental work = (0.08×0.85) + (0.15×0.92) = 0.068 + 0.138 = 0.206 = 20.6%

The probability that an employee will need either corrective shoes or dental work = 0.206.

Please note that the word "either" implies that we must choose one of the two options (corrective shoes or dental work) and not both.

5 0

3 years ago