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
marusya05 [52]
4 years ago
11

 WILL GIVE BRAINLIEST ANSWER -Mrs. Vargas is 4 years less than 4 times her daughter Ana's age. Mrs. Vargas' son Leo is 3 years m

ore than two times Ana's age. If Ana is a years old, what is the difference between Mrs. Vargas' age and hers son's age.
Mathematics
1 answer:
egoroff_w [7]4 years ago
7 0
Mrs Vargas = 4A - 4
Leo = 2A +3

Difference = 2A-7

You might be interested in
Write an equation that models the sequence 6, 12, 24, 48... A) y = 6x B) y = 2x C) y = 6x2 D) y = 6(2x-1)
monitta
The answer is B) y=2x
8 0
4 years ago
Read 2 more answers
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = yzi + 4xzj + ex
natima [27]

Answer:

The result of the integral is 81π

Step-by-step explanation:

We can use Stoke's Theorem to evaluate the given integral, thus we can write first the theorem:

\displaystyle \int\limits_C \vec F \cdot d\vec r = \int \int_S curl \vec F \cdot d\vec S

Finding the curl of F.

Given F(x,y,z) = < yz, 4xz, e^{xy} > we have:

curl \vec F =\left|\begin{array}{ccc} \hat i &\hat j&\hat k\\ \cfrac{\partial}{\partial x}& \cfrac{\partial}{\partial y}&\cfrac{\partial}{\partial z}\\yz&4xz&e^{xy}\end{array}\right|

Working with the determinant we get

curl \vec F = \left( \cfrac{\partial}{\partial y}e^{xy}-\cfrac{\partial}{\partial z}4xz\right) \hat i -\left(\cfrac{\partial}{\partial x}e^{xy}-\cfrac{\partial}{\partial z}yz \right) \hat j + \left(\cfrac{\partial}{\partial x} 4xz-\cfrac{\partial}{\partial y}yz \right) \hat k

Working with the partial derivatives

curl \vec F = \left(xe^{xy}-4x\right) \hat i -\left(ye^{xy}-y\right) \hat j + \left(4z-z\right) \hat k\\curl \vec F = \left(xe^{xy}-4x\right) \hat i -\left(ye^{xy}-y\right) \hat j + \left(3z\right) \hat k

Integrating using Stokes' Theorem

Now that we have the curl we can proceed integrating

\displaystyle \int\limits_C \vec F \cdot d\vec r = \int \int_S curl \vec F \cdot d\vec S

\displaystyle \int\limits_C \vec F \cdot d\vec r = \int \int_S curl \vec F \cdot \hat n dS

where the normal to the circle is just \hat n= \hat k since the normal is perpendicular to it, so we get

\displaystyle \int\limits_C \vec F \cdot d\vec r = \int \int_S \left(\left(xe^{xy}-4x\right) \hat i -\left(ye^{xy}-y\right) \hat j + \left(3z\right) \hat k\right) \cdot \hat k dS

Only the z-component will not be 0 after that dot product we get

\displaystyle \int\limits_C \vec F \cdot d\vec r = \int \int_S 3z dS

Since the circle is at z = 3 we can just write

\displaystyle \int\limits_C \vec F \cdot d\vec r = \int \int_S 3(3) dS\\\displaystyle \int\limits_C \vec F \cdot d\vec r = 9\int \int_S dS

Thus the integral represents the area of a circle, the given circle x^2+y^2 = 9 has a radius r = 3, so its area is A = \pi r^2 = 9\pi, so we get

\displaystyle \int\limits_C \vec F \cdot d\vec r = 9(9\pi)\\\displaystyle \int\limits_C \vec F \cdot d\vec r = 81 \pi

Thus the result of the integral is 81π

5 0
4 years ago
Find the equation of the linear function represented by the table below in slope intercept form.
Ulleksa [173]

Step-by-step explanation:

let equation be y = mx + b.

m = (9-5)/(3-1) = 2

sub (1, 5):

5 = 2(1) + b

b = 3

therefore the equation: y = 2x + 3

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

8 0
3 years ago
Name the theorem or postulate that can be used to prove that these triangles are similar
Musya8 [376]

Answer:SAS

Step-by-step explanation:Similar triangles are easy to identify because you can apply three theorems specific to triangles. These three theorems, known as Angle - Angle (AA), Side - Angle - Side (SAS), and Side - Side - Side (SSS), are foolproof methods for determining similarity in triangles.

5 0
3 years ago
Read 2 more answers
What is the quotient of (x^3+3x^2+5x+3) divided by (x+1)
lutik1710 [3]

Answer:

x^2+2x+3 I sent the answer

7 0
4 years ago
Other questions:
  • I need help plez and thanks
    14·2 answers
  • You roll a fair 6 sided die what is the probability you roll a 1 or 3?
    13·2 answers
  • Anybody knows this one
    8·2 answers
  • Kylie invested $7,800 in an account paying an interest rate of 2.6% compounded
    14·1 answer
  • Suppose the population of a town is 15,200 and is growing 2% each year. a. Write an equation to model the population growth. b.
    6·1 answer
  • Alexis divided a 1 3/4 pound bag of apples among 3 friends. how many pounds of apples did each friend receive?
    11·1 answer
  • Belle will randomly select two cards without replacement what is the probability that both will choose two hearts​
    6·2 answers
  • Find the missing ANGLE <br><br> Someone plsss helpppp!!! I’ll give brainliest!!! :(((
    8·1 answer
  • Root 12 of Rood 12, see attached document
    12·1 answer
  • You are a contestant on a game show called “Bargain or No Bargain.” You are presented with three briefcases, which contain rewar
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!