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artcher [175]
2 years ago
9

I need the answer on number 5

Mathematics
1 answer:
luda_lava [24]2 years ago
6 0
I believe Z=18
Example:
2/3z + 1 = 13
Multiply both sides: 2/3z * 3 + 1 * 3 = 13 * 3
Refine: 2/3z + 3 = 39
Subtract from both sides: 2z + 3 - 3 = 39 - 3
Refine: 2z=36
2z/2 = 36/12
Z=18

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Answer in simplified expression: 5a+4
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2 years ago
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Three small circles C1, C2, and C3, each with radius 0.1 and centered at the origin are in the xy-, yz-, and xz-planes, respecti
den301095 [7]

Curl is defined as:

\bigtriangledown \times F=\frac{ \int F.dr}{Area}

Which can be rewritten as:

\frac{ \int F.dr}{Area}=\frac{ \int_{C_1} Fdr}{Area}\widehat{k}+\frac{ \int_{C_2} Fdr}{Area}\widehat{i}+\frac{ \int_{C_3} Fdr}{Area}\widehat{j}

This is because C1 lies on the xy plane and thus it's unit vector will be \widehat{k}.

By similar arguments the rest will follow too.

Now, area of each circle will be: \pi \times (0.1)^2=0.01 \pi

Therefore, Curl, as per our definition will be:

\frac{\int F.dr}{Area}=\frac{0.01\pi}{0.01\pi}\widehat{k}+\frac{0.4\pi}{0.01\pi}\widehat{i}+\frac{5 \pi}{0.01\pi}\widehat{j}

Thus, Curl=40\pi \widehat{i}+500\pi \widehat{j} +\widehat{k}

Which is the required answer.

7 0
2 years ago
In a science-fiction story, a spaceship travels 3 times faster each minute than it traveled during the minute before. If the shi
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The expression is:

speed(minutes)=3\frac{km}{h} ^{minutes} \\\\speed(15minutes)=(3^{15})\frac{km}{4} =14348907\frac{km}{g}

Why?

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The expression will be:

speed(minutes)=(3^{minutes})\frac{km}{h} \\\\speed(15minutes)=(3^{15})\frac{km}{h}=14348907\frac{km}{h}

Have a nice day!

6 0
1 year ago
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murzikaleks [220]

Answer:

$19.24

Step-by-step explanation:

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Natasha_Volkova [10]
A is the correct answers       
8 0
1 year ago
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