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NikAS [45]
2 years ago
6

Help me out please!!

Mathematics
1 answer:
AleksAgata [21]2 years ago
5 0

Step-by-step explanation:

1. (fg)' = f'g + fg' (chain rule)

2 f(x) = x^5\sin{x}

\Rightarrow f'(x) = 5x^4\sin{x} + x^5\cos{x}

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If you roll a dice and flip a coin, what is the probability you will land on a number greater than 4 and a heads?
irinina [24]

Answer:

you have a 7/12 chance

Step-by-step explanation:

The sample space has 12 elements:

T1, T2, T3, T4, T5, T6

H1, H2, H3, H4, H5, H6

(From a combinatorics perspective, there are 2 options for the coin and 6 for the die for a total of 2 * 6 = 12.)

There are 6 heads results and one tales result that has a 4 for a total of 7 possibilities that meet your criteria. That makes the probability 7 / 12.

here is the link for where i got my answer https://www.quora.com/If-you-flip-a-coin-and-roll-a-die-what-is-the-probability-the-coin-lands-heads-up-or-the-die-lands-showing-the-number-4

4 0
3 years ago
What is the surface area of the figure shown? (use 3.14 for pi)
SpyIntel [72]

This is a combination of the formula of several figures.

The first one is the bottom of the cylinder AKA a circle.
The second one is the cylinder - the bottom and the top.
The third one is a cone without a bottom.

The first one can be written like this: r^2*3.14 where r is the radius of the circle
The second one is written like this: 2*3.14*r*h where r is the radius, and h the height
The third one is written like this: l*r*3.14

After this you just have to input the values. 
bottom        cylinder        Cone             (Use calculator if possible)
(3^2*3.14)+(2*3.14*3*5)+(6*3*3.14)=
28.26 + 94.2 + 56.52 = 178.98 in^2

The correct answer is 178.98 in^2.
Youre welcome. 




EXTRA:

If youre wondering how to find the different formulas, you can search for the full formula, then remove the parts you do not need, by matching them with the formula of the part you want to remove.

Example:
Cylinder:
SA = 2(pi<span> r</span><span> 2</span><span>) + (2 </span><span>pi </span><span>r)* h
</span>In this case, i didnt need the top and bottom, then i look for the formula of a circle.
Circle SA = pi r^2

Is this anywhere in the cylinder? Yes! The first part.
Then we are left with:
2 + (2 pi r)*h
But that 2 looks strangely placed, and with some reason, one quickly understands that it means "top AND bottom", but since we removed the circle surface, we have to remove that part too. 
So the final result of the formula is:
2 pi r h


4 0
3 years ago
Examine Tamika's work below. What is Tamika's error? 18a^-5b^-6/30a^3b^-5=3a^-2b^-11/5
vlada-n [284]

Answer:

She added the exponents

Step-by-step explanation:

:) hope that helps

3 0
3 years ago
Read 2 more answers
6. Solve for x.<br> 10x - 4 = +(8x + 14)
Nuetrik [128]

Simplify brackets

10x - 4 = 8x + 14

Add 4 to both sides

10x = 8x + 14 + 4

Simplify 8x + 14 + 4 to 8x + 18

10x = 8x + 18

Subtract 8x from both sides

10x - 8x = 18

Simplify 10x - 8x to 2x

2x = 18

Divide both sides by 2

x = 18/2

Simplify 18/2 to 9

<u>x = 9</u>

3 0
3 years ago
Read 2 more answers
A car can travel 65 miles in 1 hour. If the car continues at that speed for 12 hours, how many miles will it travel? (please sho
seropon [69]
A car can travel 65 miles per hour.

Over 12 hours, it will travel 780 miles.

12 * 65 = 780
3 0
3 years ago
Read 2 more answers
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