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
Bad White [126]
3 years ago
13

Find the quotient of 4.13 x 10^-8 and 0.04 x 10^5. In two or more complete sentences, explain each step in your calculations.Inc

lude the quotient as part of your final answer.
Mathematics
1 answer:
poizon [28]3 years ago
6 0

we know that

Quotient is the number resulting from the division of one quantity by another

Let

x--------> the first quantity

y------> the second quantity

q------> the quotient

So

q=\frac{x}{y} -------> equation 1

in this problem

x=4.13*10^{-8} \\ y= 0.04*10^{5}

Substitute the values in the equation 1

q=\frac{4.13*10^{-8}}{0.04*10^{5}}

Simplify

q=\frac{4.13*10^{-8}}{0.04*10^{5}}=\frac{4.13}{0.04}*10^{-8}*10^{-5}=\frac{4.13}{0.04}*10^{-13}\\ \\q=103.25*10^{-13}\\ \\q= (1.0325*10^{2})*10^{-13}\\ \\q= 1.0325*10^{-11}

therefore

<u>the answer is</u>

The quotient is equal to 1.0325*10^{-11}

You might be interested in
An=−2+32(n−1)<br><br> What is the 21st term of the sequence?
OLEGan [10]

Answer:

a₂₁ = 638

Step-by-step explanation:

substitute n = 21 into the explicit formula

a₂₁ = - 2 + 32(21 - 1) = - 2 + 32(20) = - 2 + 640 = 638

5 0
2 years ago
State of the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statemen
Blababa [14]

Answer:

SSS, UVD, the answer is D

Step-by-step explanation:

90/9 = 10

70/7 = 10

80/8 = 10

triangle LMN congruent triangle UVD

6 0
3 years ago
A 1000-liter (L) tank contains 500 L of water with a salt concentration of 10 g/L. Water with a salt concentration of 50 g/L flo
djverab [1.8K]

Answer:

a) y(t)=50000-49990e^{\frac{-2t}{25}}

b) 31690.7 g/L

Step-by-step explanation:

By definition, we have that the change rate of salt in the tank is \frac{dy}{dt}=R_{i}-R_{o}, where R_{i} is the rate of salt entering and R_{o} is the rate of salt going outside.

Then we have, R_{i}=80\frac{L}{min}*50\frac{g}{L}=4000\frac{g}{min}, and

R_{o}=40\frac{L}{min}*\frac{y}{500} \frac{g}{L}=\frac{2y}{25}\frac{g}{min}

So we obtain.  \frac{dy}{dt}=4000-\frac{2y}{25}, then

\frac{dy}{dt}+\frac{2y}{25}=4000, and using the integrating factor e^{\int {\frac{2}{25}} \, dt=e^{\frac{2t}{25}, therefore  (\frac{dy }{dt}+\frac{2y}{25}}=4000)e^{\frac{2t}{25}, we get   \frac{d}{dt}(y*e^{\frac{2t}{25}})= 4000 e^{\frac{2t}{25}, after integrating both sides y*e^{\frac{2t}{25}}= 50000 e^{\frac{2t}{25}}+C, therefore y(t)= 50000 +Ce^{\frac{-2t}{25}}, to find C we know that the tank initially contains a salt concentration of 10 g/L, that means the initial conditions y(0)=10, so 10= 50000+Ce^{\frac{-0*2}{25}}

10=50000+C\\C=10-50000=-49990

Finally we can write an expression for the amount of salt in the tank at any time t, it is y(t)=50000-49990e^{\frac{-2t}{25}}

b) The tank will overflow due Rin>Rout, at a rate of 80 L/min-40L/min=40L/min, due we have 500 L to overflow \frac{500L}{40L/min} =\frac{25}{2} min=t, so we can evualuate the expression of a) y(25/2)=50000-49990e^{\frac{-2}{25}\frac{25}{2}}=50000-49990e^{-1}=31690.7, is the salt concentration when the tank overflows

4 0
3 years ago
Casey wants to buy a gym membership. Gym A has a $150 joining fee and costs $35 per month. Gym B has no joining fee and costs $6
MariettaO [177]

Answer:

Step-by-step explanation:

Gym A has a $150 joining fee and costs $35 per month.

Assuming that Casey wants to attend for x months, the cost of using gym A will be

150 + 35 times x months. It becomes

150 + 35x

Gym B has no joining fee and costs $60 per month.

Again, assuming that Casey wants to attend for x months, the cost of using gym B will be

60 × x months = 60x

A) To determine the number of months that it will both gym memberships to be the same, we will equate them.

150 + 35x = 60x

60x - 35x = 150

25x = 150

x = 150/25 = 6

It will take 6 months for both gym memberships to be the same.

B) If Casey plans to only go to the gym for 5 months,

Plan A will cost 150 + 35×5 = $325

Plan B will cost 60 × 5 = $300

Plan B will be cheaper

6 0
3 years ago
How would you write 105% as a decimal?
kondor19780726 [428]
105% as a decimal would be 1.05 in decimal form
4 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following equations is non-linear?
    12·1 answer
  • Which of the following is equivalent to 14x2 + 35x when it is completely factored? 7x(2x + 5)
    15·2 answers
  • Please help thank you
    10·2 answers
  • I need help with this question thx​
    13·2 answers
  • Twice the difference of a number and three is negative two. Find the number
    6·1 answer
  • The equation Y-3=-2(x+5) is written in point-slope form. What is the y-intercept of the line?
    6·2 answers
  • Which is equivalent to the expression (2x+4)(x-6)?
    8·1 answer
  • Which table represents a nonlinear function?
    7·1 answer
  • Please help 6 points​
    14·2 answers
  • Among 43,592 in-hospital patients who had cardiac arrest during the day, 23,549 survived. Among 27,963 patients at night, 7,804
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!