1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IceJOKER [234]
3 years ago
11

3.) Light travels at a speed of 1.25 x 107 miles per minute. Pluto's average distance from the

Mathematics
1 answer:
daser333 [38]3 years ago
3 0

I have no idea whether those numbers are correct, and I'm not gonna bother looking them up.

But you gave us a speed and a distance, and you asked for a time.

We can just go ahead and use the formula:  Time = (distance) / (speed) .

<em>IF</em> your numbers are true, then

Time = (distance) / (speed)

Time = (3.55 x 10⁹ mi) / (1.25 x 10⁷ mi/min)

Time =  (3.55 x 10⁹ / 1.25 x 10⁷) minutes

Time =  2.84 x 10² minutes

<em>Time = 284 minutes</em>

Time = 4 hours 44 minutes

You might be interested in
Find each product.<br> (2.05).(0.004)
AlladinOne [14]

Answer:

(2.05).(0.004) \\  = ( \frac{205}{100} ).( \frac{4}{1000} ) \\  =  \frac{820}{100000}  \\  =  \frac{82}{10000}  \\  = 0.0082

3 0
3 years ago
If anyone knows about definite integrals for calculus then please I request help! I
kicyunya [14]

Answer:

\displaystyle \int\limits^9_5 {\frac{1}{x^3}e^\big{4x^{-2}}} \, dx = \frac{1}{8} \bigg( e^\Big{\frac{4}{25}} - e^\Big{\frac{4}{81}} \bigg)

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Property [Multiplied Constant]:                                                           \displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Integration

  • Integrals

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

Integration Property [Multiplied Constant]:                                                         \displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx

U-Substitution

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle \int\limits^9_5 {\frac{1}{x^3}e^\big{4x^{-2}}} \, dx

<u>Step 2: Integrate Pt. 1</u>

<em>Identify variables for u-substitution.</em>

  1. Set <em>u</em>:                                                                                                             \displaystyle u = 4x^{-2}
  2. [<em>u</em>] Differentiate [Basic Power Rule, Derivative Properties]:                       \displaystyle du = \frac{-8}{x^3} \ dx
  3. [Bounds] Switch:                                                                                           \displaystyle \left \{ {{x = 9 ,\ u = 4(9)^{-2} = \frac{4}{81}} \atop {x = 5 ,\ u = 4(5)^{-2} = \frac{4}{25}}} \right.

<u>Step 3: Integrate Pt. 2</u>

  1. [Integral] Rewrite [Integration Property - Multiplied Constant]:                 \displaystyle \int\limits^9_5 {\frac{1}{x^3}e^\big{4x^{-2}}} \, dx = \frac{-1}{8}\int\limits^9_5 {\frac{-8}{x^3}e^\big{4x^{-2}}} \, dx
  2. [Integral] U-Substitution:                                                                              \displaystyle \int\limits^9_5 {\frac{1}{x^3}e^\big{4x^{-2}}} \, dx = \frac{-1}{8}\int\limits^{\frac{4}{81}}_{\frac{4}{25}} {e^\big{u}} \, du
  3. [Integral] Exponential Integration:                                                               \displaystyle \int\limits^9_5 {\frac{1}{x^3}e^\big{4x^{-2}}} \, dx = \frac{-1}{8}(e^\big{u}) \bigg| \limits^{\frac{4}{81}}_{\frac{4}{25}}
  4. Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:           \displaystyle \int\limits^9_5 {\frac{1}{x^3}e^\big{4x^{-2}}} \, dx = \frac{-1}{8} \bigg( e^\Big{\frac{4}{81}} - e^\Big{\frac{4}{25}} \bigg)
  5. Simplify:                                                                                                         \displaystyle \int\limits^9_5 {\frac{1}{x^3}e^\big{4x^{-2}}} \, dx = \frac{1}{8} \bigg( e^\Big{\frac{4}{25}} - e^\Big{\frac{4}{81}} \bigg)

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

Unit: Integration

4 0
2 years ago
6. In both Mr. Jacquez's Math 2 classes, Period 2 and Period 3 were given the same test. The table below shows the results from
umka2103 [35]

Answer: pass 12 fail 12 passes 15 fail1 3

Step-by-step explanation:

pass 12 fail 12

pass 15 fail 13

3 0
2 years ago
Mr smiths loan balance has decreased by 71.4%. Calculate the change in his loan balance
nikklg [1K]
Can you write the full question
4 0
3 years ago
What is y=2x can someone pleas help me
strojnjashka [21]

Answer:

Slope:  2

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Banks use negative balances to represent when the customer owes the bank money and positive balances to represent when the bank
    7·2 answers
  • Alpha Printing will make 400 brochures for $60. Omega Printing will make 1,000 brochures for $60. How much money will you save o
    6·2 answers
  • a cell phone company plans to market a new smartphone. they have already sold 612 units durning the first week of the campaign.
    5·1 answer
  • H(x) = x^2 - 1<br> Over which interval does h have a negative average rate of change?
    13·1 answer
  • Which statement is true about every rectangular pyramid?
    7·2 answers
  • Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
    15·1 answer
  • What does 3x + 2x - 4 equal
    12·1 answer
  • Please help me<br><br> If 6 times a number = 3 times the same number,<br> What is that number?
    10·2 answers
  • Identify the variables, the constant, the coefficients, and the exponents in the algebraic
    7·1 answer
  • 3x10^-2 divided by 8x10^-1
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!