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
yKpoI14uk [10]
2 years ago
5

Solve for y.

Mathematics
1 answer:
Inessa05 [86]2 years ago
6 0

Answer:

The answer is the 2nd bullet point (B)

You might be interested in
Find the solution of the differential equation dy/dt = ky, k a constant, that satisfies the given conditions. y(0) = 50, y(5) =
irga5000 [103]

Answer:  The required solution is y=50e^{0.1386t}.

Step-by-step explanation:

We are given to solve the following differential equation :

\dfrac{dy}{dt}=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.

From equation (i), we have

\dfrac{dy}{y}=kdt.

Integrating both sides, we get

\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]

Also, the conditions are

y(0)=50\\\\\Rightarrow ae^0=50\\\\\Rightarrow a=50

and

y(5)=100\\\\\Rightarrow 50e^{5k}=100\\\\\Rightarrow e^{5k}=2\\\\\Rightarrow 5k=\log_e2\\\\\Rightarrow 5k=0.6931\\\\\Rightarrow k=0.1386.

Thus, the required solution is y=50e^{0.1386t}.

8 0
3 years ago
Read 2 more answers
What is the perimeter of this pentagon?
exis [7]

Answer:

the perimeter of the Pentagon is 2.75cm

Step-by-step explanation:

add each side together in decimal form

8 0
3 years ago
En un triangulo ABC, el angulo B mide 64° y el angulo C mide 72°. La bisectriz interior CD corta a la altura BH y a la bisectriz
nadezda [96]

Answer:

The difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Step-by-step explanation:

The question is:

In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.

Solution:

Consider the triangle ABC.

The measure of angle A is:

angle A + angle B + angle C = 180°

angle A = 180° - angle B - angle C

             = 180° - 72° - 64°

             = 44°  

It is provided that CD and BM are bisectors.

That:

angle BCP = angle PCH = 36°

angle CBQ = angle QBD = 32°

angle BHC = 90°

Compute the measure of angle HBC as follows:

angle HBC = 180° - angle BHC + angle BCH

                  = 180° - 90° - 72°

                  = 18°

Compute the measure of angle BPC as follows:

angle BPC = 180° - angle PCB + angle CBP

                  = 180° - 18° - 36°

                  = 126°

Then the measure of angle BPQ will be:

angle BPQ = 180° - angle BPC

                  = 180° - 126°

angle BPQ = 54°

Compute the measure of angle PBQ as follows:

angle PBQ = angle B - angle QBD - angle HBC

                  = 64° - 32° - 18°

angle PBQ = 14°

Compute the measure of angle BQP as follows:

angle BQP = 180° - angle PBQ - angle BPQ

                  = 180° - 14° - 54°  

angle BQP = 112°

So, the greatest and the smallest angle of the triangle PBQ are:

angle BQP = 112°

angle PBQ = 14°

Compute the difference:

<em>d</em> = angle BQP - angle PBQ

  = 112° - 14°

  = 98°

Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.

4 0
3 years ago
16|r-5|=-32<br><br><br><br><br>HELP i suck at algebra plz ​
Ivan

Answer:

12

Step-by-step explanation:

5 0
3 years ago
Please answer correctly !!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
rodikova [14]

<em>A</em><em>+</em><em>2</em><em>2</em><em>°</em><em>=</em><em>9</em><em>0</em><em>°</em><em> </em><em>(</em><em>SUM</em><em> </em><em>OF</em><em> </em><em>COMPLEMENTRY</em><em> </em><em>ANGLES</em><em> </em><em>)</em>

<em>A</em><em>=</em><em>9</em><em>0</em><em>°</em><em>-</em><em>2</em><em>2</em><em>°</em>

<em>A</em><em>=</em><em>6</em><em>8</em><em>°</em><em> </em><em>ANSWER</em><em>.</em>

5 0
3 years ago
Read 2 more answers
Other questions:
  • Py+7=6y+q<br> what is the answer for this question (linear equations with unknown coefficients)?
    14·2 answers
  • Solve the quation.
    14·1 answer
  • Which of the following rational functions is graphed below?
    9·1 answer
  • If the volume of the pyramid shown is 12cm^3, what is its height?
    15·2 answers
  • Determine the intercepts of the line.<br> x-intercept: (___,___)<br> y-intercept: (___,___)
    6·1 answer
  • Which equation represents the line that passes through points B and C on the graph
    7·1 answer
  • Which statement best reflects the solution(s) of the equation?
    12·1 answer
  • Out of 18 cookies 2/3 are chocolate chip how many of the cookies are chocolate chip​
    13·2 answers
  • Solve the following:
    14·2 answers
  • HELP ME PLEASE
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!