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VLD [36.1K]
3 years ago
15

One side is 8 cm

Mathematics
1 answer:
musickatia [10]3 years ago
8 0

Answer:

The mass of the cubic granite block  is 1408 g .

Step-by-step explanation:

Formula

Volume of a cube = a³

Where a is the side of the cube .

Density = \frac{Mass}{Volume}

As given

one side of the cube is 8 cm .

(The figure is shown below.)

Thus

Put in the formula

Volume of a cubic granite block  =  8 × 8 × 8

                                                       = 512 cm³

As given

The density of cube is 2.75 g/cm³.

Put in the formula

2.75 = \frac{Mass}{512}

Mass = 2.75 × 512

Mass = 1408 g

Therefore the mass of the cubic granite block is 1408 g .

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I need help with this question plz
pashok25 [27]

First you need to distribute the exponent into the terms for the first parenthesis.

(-3x²y³)³ = (-3)³ * (x²)³ * (y³)³

= -27 *x⁶ *y⁹

= -27x⁶y⁹

Then you multiply -27x⁶y⁹ by x²y.

You just need to add the exponents of x and y:

-27x⁶⁺²y⁹⁺¹

= -27x⁸y¹⁰

5 0
3 years ago
Jim has received scores of 72 72 and 77 77 on his first two 100 point tests. what score must he get on his third 100 point test
Alisiya [41]
77+72=149 
149/2=74.5 
through the process of elimination, I found that Jim needs to get an 88 or higher to receive an average of 79 or greater. 

77+72+88=237 
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7 0
3 years ago
The number of ways 8 cars can be lined up at a toll booth would be computed from
stepladder [879]

Answer: c. 8!

Step-by-step explanation:

We know , that if we line up n things , then the total number of ways to arrange n things in a line is given by :-

n! ( in words :- n factorial)

Therefore , the number of ways 8 cars can be lined up at a toll booth would be 8! .

Hence, the correct answer is c. 8! .

Alternatively , we also use multiplicative principle,

If we line up 8 cars , first we fix one car , then the number of choices for the next place will be 7 , after that we fix second car ,then the number of choices for the next place will be 6 , and so on..

So , the total number of ways to line up 8 cars = 8 x 7 x 6 x 5 x 4 x 3 x 2 x1 = 8!

Hence, the correct answer is c. 8! .

5 0
3 years ago
Ariah has a hot air balloon. When full, the balloon is a sphere with a radius of 9 meters. She fills it with hot air whose densi
Anika [276]

Answer:2748

Step-by-step explanation:

5 0
3 years ago
Find the first term and the explicit formula a12=1/32 and r=1/2
Alexxx [7]

Answer:

see explanation

Step-by-step explanation:

The n th term of a geometric sequence is

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

where a is the first term and r the common ratio

Given a_{12} = \frac{1}{32} and r = \frac{1}{2}, then

a (\frac{1}{2}) ^{11} = \frac{1}{32}, that is

\frac{a}{2^{11} } = \frac{1}{32}

\frac{a}{2048} = \frac{1}{32} ( cross- multiply )

32a = 2048 ( divide both sides by 32 )

a = 64 ← first term

Thus the explicit formula is

a_{n} = 64 (\frac{1}{2}) ^{n-1}

5 0
3 years ago
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