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wariber [46]
2 years ago
14

Jade is buying a dress for winter formal. Tax was $4.30 and her total bill was $63 with tax included. How much was the dress?

Mathematics
1 answer:
Ivenika [448]2 years ago
4 0

Answer:

$63-$4.30=$58.70

Step-by-step explanation:

The tax is $4.30 so you just subtract the tax from the total amount. Hope this helped:)

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Evaluate the definite integral from pi/3 to pi/2 of (x+cosx) dx
Vadim26 [7]

Answer:

\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{5 \pi ^2}{72} + 1 - \frac{\sqrt{3}}{2}

General Formulas and Concepts:

<u>Calculus</u>

Integration

  • Integrals

Integration Rule [Reverse Power Rule]:                                                           \displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C

Integration Rule [Fundamental Theorem of Calculus 1]:                                 \displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)

Integration Property [Addition/Subtraction]:                                                   \displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx

<u>Step 2: Integrate</u>

  1. [Integral] Rewrite [Integration Property - Addition/Subtraction]:           \displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {x} \, dx + \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {\cos x} \, dx
  2. [Left Integral] Integration Rule [Reverse Power Rule]:                           \displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{x^2}{2} \bigg| \limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} + \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {\cos x} \, dx
  3. [Right Integral] Trigonometric Integration:                                             \displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{x^2}{2} \bigg| \limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} + \sin x \bigg| \limits^{\frac{\pi}{2}}_{\frac{\pi}{3}}
  4. Integration Rule [Fundamental Theorem of Calculus 1]:                         \displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{5 \pi ^2}{72} + \bigg( 1 - \frac{\sqrt{3}}{2} \bigg)

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

3 0
2 years ago
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What number is equivalent to 4.054
yaroslaw [1]
4.054 = 4054/1000 = 2027/500
3 0
3 years ago
What is RD.sharma and S.chand ??​
Irina18 [472]

Answer:

how are you

Step-by-step explanation:

RD Sharma, a prominent mathematician, educator and author of several textbooks. Prominent mathematician, educator and author of several textbooks and guides practically sleeps, eats, breathes equations, formulas and more. The name RD Sharma is enough to make the average student feel a chill down the spine.

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A store sells small notebooks for ​$6 and large notebooks for ​$10. If a student buys 6 notebooks and spends ​$52​, how many of
NISA [10]

Answer:

you can say he bought 2 small notebooks and 4 big notebooks

Step-by-step explanation:

we have 52 dollars here

so if we have 4 large notebooks that will cost 40 dollars and if we have 2 small notebooks on addiction to that, that will cost 12 more dollars

now adding up 40 and 12 we get $52 !

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Find the domain of the graphed function. (Please help me)
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Answer:

Step-by-step explanation:

I belive it is a .

8 0
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