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Soloha48 [4]
3 years ago
8

Surds

qrt[3]{192}" alt="5\sqrt[3]{24}-\sqrt[3]{192}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Lina20 [59]3 years ago
6 0

Answer:

  6∛3

Step-by-step explanation:

  \displaystyle 5\sqrt[3]{24}-\sqrt[3]{192}=5\sqrt[3]{2^3\cdot3}-\sqrt[3]{4^3\cdot3}\\\\=(5\cdot2-4)\sqrt[3]{3}=\boxed{6\sqrt[3]{3}}

_____

The cubes under each radical can be brought out. Coefficients of like radicals can be combined.

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A two gallon container had all of its dimensions tripled. How many gallons does the new container hold?
Vaselesa [24]

Answer:

8

Step-by-step explanation:

In this situation if the two gallon container will have all of its dimensions tripled, then that means the the volume of the container will also get tripled.

When all the dimensions of a shape are changed, the volume will then also change accordingly.

Since the original container held 2 gallons, we will then solve for the value by simply raising 2 to the power of 3.

2³ = 8

Now why did we raise the number of gallons by three instead of multiplying it directly by 3?

We did that, because we need to consider that the entire container had all of its dimensions tripled. When a shapes dimensions are all increased, this means that it will grow exponentially.

4 0
4 years ago
1600, 400, 100, 25, ...<br> O Arithmetic <br> O Geometric<br> O Neither
jeyben [28]
This is a GEOMETRIC sequence as each number is being multiplied by 1/4
6 0
3 years ago
Using logarithm table evaluate the<br>1.376<br>0.007​
kozerog [31]

Answer:

convert the expression for N into logs

evaluate those logs using a log table

thus determine log N

calculate antilog of log N

Thus,

log

N

=

(

647

⋅

32

×

0.00000147

8.473

×

64

)

=

log

(

647

⋅

32

)

+

log

(

0.00000147

)

−

log

(

8.473

)

−

log

(

64

)

6 0
3 years ago
How would I be able to answer this?
Ilya [14]
Radius = Diameter ÷ 2 = 10 ÷ 2 = 5mm
<u>
Find Volume: </u>

Volume= πr²h

Volume = π (5)² (6) = 471.24mm³ (Nearest hundredth)


<u>Find Surface Area:</u>

Surface area = 2πr² + 2πrh 

Surface area = 2π(5)² + 2π(5)(6) = 345.58 mm²

Answer: Volume = 471.24mm³ , Surface area = 345.58 mm²
5 0
3 years ago
Cindy has a jacket with the first letter of her school’s name on it. Find the area of the letter on Cindy’s jacket
fenix001 [56]
Cindy’s jacket is 44in cause to find the parrollegrams it’s length time width

Her jacket is 44in
5 0
3 years ago
Read 2 more answers
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