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Varvara68 [4.7K]
3 years ago
6

You leave a 12% tip for a $25 meal. How much is the tip, in dollars?

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
5 0

Answer:

3 dollars

Step-by-step explanation: divide 25 by .12=3.00

Fynjy0 [20]3 years ago
4 0

Answer:

$3

Step-by-step explanation:

25 X 1.12 = 28       $28-$25= 3 dollar difference.

(0.12 is the decimal form of 12%)

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Can anyone explain why this two is being added before the integral? Does it have something to do with integral symmetry?
PIT_PIT [208]

Yes it's exactly due to symmetry. Specifically, symmetry about the x axis.

Simply writing \displaystyle \int_{-8}^{-4}\left[\sqrt{x+8} \ \right]dx, without the 2 out front, will only get you the area of the portion shown in red (see diagram below).

The blue region has equal area of the red region due to symmetry.

So,

\displaystyle 2\int_{-8}^{-4}\left[\sqrt{x+8} \ \right]dx

represents the red and blue regions combined.

The portion in green is \displaystyle \int_{-4}^{8}\left[\sqrt{x+8} - \frac{x}{2} \ \right]dx which is the integral of the difference of the upper and lower curves over the interval -4 \le x \le 8

---------------

In all honesty, it's probably easier to integrate with respect to y since the given functions are in terms of y initially. Also, there isn't a junction point in which the curves swap places in terms of which one is larger. However, it doesn't hurt to have practice in integrating with respect to x.

If you're curious about what the y integral looks like, then it would be

\displaystyle \int_{-2}^{4} \bigg[ (2y) - (y^2-8)\bigg] dy

You can use a tool like WolframAlpha to check that both integral expressions result in 36 to help confirm that they represent the same overall area (just in different ways of course).

5 0
2 years ago
Read 2 more answers
What is the length of the diagonal of a rectangle that is 12 inches long and 6 inches wide?​
lakkis [162]
To find the diagonal of the rectangle we have to use Pythagorean theorem!

Pythagorean theorem is used to find the length of a missing angle such as the hypotenuse or the sides a and b.

Steps to solve:

1. 12 in is the length or the base of the right triangle, and 6 in is the wide or the side a.
2. Now use the formula: a^2+b^2=c^2, and plug in the numbers!
3. 6^2+12^2=c^2, now just solve the squared numbers.
4. 36+144=c^2
5. 180=c^2
6. Find the square root of 180.

And that is you answer!
If helped mark me the brainiest!!
4 0
3 years ago
Can someone solve this? Number 25 only please.
V125BC [204]
0.06x0.06 = 0.0036 

dont wory about the zeros just the actual numbers than add the zeros
6 0
3 years ago
Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs
lions [1.4K]

Answer:

3H - 2 ≤ 14 I believe.

If i'm wrong forgive me

6 0
2 years ago
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