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Mkey [24]
2 years ago
7

Simplify:

2%5E%7B3%7D%5Cright%29%5E%7B3%7D%2B7%5E%7B3%7D%7D" id="TexFormula1" title="\frac{6^{3}-7\cdot3^{4}-2^{5}\cdot9}{\left(1-2^{3}\right)^{3}+7^{3}}" alt="\frac{6^{3}-7\cdot3^{4}-2^{5}\cdot9}{\left(1-2^{3}\right)^{3}+7^{3}}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
klio [65]2 years ago
6 0

Answer:

Simplifed:

\frac{6^{3}-7\cdot3^{4}-2^{5}\cdot9}{\left(1-2^{3}\right)^{3}+7^{3}}

\frac{6^{3}-7\cdot3^{4}-2^{5}\cdot9}{\left(1-2^{3}\right)^{3}+7^{3} } \\  \frac{216 - 567 -288 }{ { - 7}^{3} +  {7}^{3}  }  \\  \frac{ - 639}{0}

infinity

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One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large
anzhelika [568]

Answer:

10 cm.

Step-by-step explanation:

We'll begin by calculating the area of the small bubble. This can be obtained as follow:

Radius (r) = 5 cm

Area (A) =?

Since the bubble is circular in nature, we shall use the formula for area of circle to determine the area of the bubble. This is illustrated below:

A = πr²

A = π × 5²

A = 25π cm²

Next, we shall determine the total area of the small bubbles. This can be obtained as follow:

Area of 1 bubble = 25π cm²

Therefore,

Area of 4 bubbles = 4 × 25π cm²

Area of 4 bubbles = 100π cm²

Finally, we shall determine the radius of the large bubble. This can be obtained as follow:

Area of large bubble = total area of small bubbles = 100π cm²

Radius (r) =?

A = πr²

100π = πr²

100 = r²

Take the square root of both side

r = √100

r = 10 cm

Thus, the radius of the large bubble is 10 cm

5 0
2 years ago
Math help please help... ive been stuck on this, thank you so much !!!!!
mr_godi [17]

Answer: (-3,4) and (9,20)

I think these two points will make the answer you have been looking for.

3 0
3 years ago
Given f"(x) = 2, f'(1)=4, and f(2)=-2,<br> find f(x).
Anna [14]

Answer:

Step-by-step explanation:

f"(x)=2

integrating

f'(x)=2x+c

f'(1)=2+c=4

c=4-2=2

f'(x)=2x+2

integrating

f(x)=2x^2/2+2x+a

f(x)=x^2+2x+a

f(2)=-2

(2)^2+2(2)+a=-2

4+4+a=-2

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f(x)=x^2+2x-10

6 0
2 years ago
a rectangular picture frame has a width of 9 cm and a length of x cm. which expression represents the perimeter of the picture f
Semmy [17]
The question is asking to choose among the expression that represents the perimeter of the picture frame where as a rectangular picture frame has a width of 9cm and length of x cm and base on the fact, I would say that the answer would be 2x times 18. I hope you are satisfied with my answer 
6 0
3 years ago
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use the venn diagram in Part A to find each probability when annie randomly chooses one member of the doubles club. (need help w
Usimov [2.4K]

If we assume the club membership includes

\bullet\ \mbox{6 junior boys}\\ \bullet\ \mbox{8 junior girls}\\ \bullet\ \mbox{16 senior boys}\\ \bullet\ \mbox{12 senior girls}

then the blanks in the Juniors circle must be filled in with 6 and 8 (with the 8 going in the overlap with girls). The remaining blank in the Girls circle must be filled in with 12, the number of senior girls. The blank outside both circles is the number of senior boys (members who are not juniors and not girls), 16.

3 0
3 years ago
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