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zhannawk [14.2K]
3 years ago
14

Emma is saving for a bicycle that costs $300. This month, she reaches 60% of her

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
5 0

Answer:

180 dollars

Step-by-step explanation:

.6 = 60%

multiply = "of"= ()

.6 (300) = 180

Dmitriy789 [7]3 years ago
4 0

Answer:180 dollars

Step-by-step explanation:

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Draw a line through the point -2,2 with a slope of -3. Draw a line through the point 2,-2 with a slope of -3.
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Answer:

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Step-by-step explanation:

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7 0
3 years ago
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
Read 2 more answers
SuperKrunch candy bars include both peanuts and almonds. Peanuts cost $5.00 per bag and almonds cost $8.50 per bag. The budget a
neonofarm [45]

Answer:

the answer is b

Step-by-step explanation:

got it right on the test

4 0
3 years ago
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Write your answer with an exponent
Scorpion4ik [409]

Answer: 7 to the 12 power

Step-by-step explanation:

when multiplying the same number with different exponents, all u have to do is add the exponents

7 0
3 years ago
Solve for n.<br> n^2–15n–16=0
Fofino [41]
N =  {15   +-  root of ( 225 + 64)  } / 2
  =  {15  +-  root of 289  } / 24
  = 15 + 17 } / 2   or  { 15 -17 } /2 
 = 16  or  -1


5 0
3 years ago
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