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
Lubov Fominskaja [6]
2 years ago
8

Yasmin swims at a constant rate of 2 km/h for 2.5 h. How far does Yasmin swim? 4.5 km 5 km 6 km 6.5 km

Mathematics
1 answer:
Neporo4naja [7]2 years ago
3 0
She swims for 2.5 hours at a rate of 2 km/hr
Multiply 2.5 * 2 = 5 km
You might be interested in
Find the minimum value of c = 4x + 3y
shutvik [7]

Step-by-step explanation:

C=4x+3y Constraints: x is greater than or equal to 0 2x + 3y is greater than or equal to 6 3x - 2y is less than or equal to 9 x + 5y is less than or equal to 20

8 0
2 years ago
Use the Fundamental Theorem for Line Integrals to find Z C y cos(xy)dx + (x cos(xy) − zeyz)dy − yeyzdz, where C is the curve giv
Harrizon [31]

Answer:

The Line integral is π/2.

Step-by-step explanation:

We have to find a funtion f such that its gradient is (ycos(xy), x(cos(xy)-ze^(yz), -ye^(yz)). In other words:

f_x = ycos(xy)

f_y = xcos(xy) - ze^{yz}

f_z = -ye^{yz}

we can find the value of f using integration over each separate, variable. For example, if we integrate ycos(x,y) over the x variable (assuming y and z as constants), we should obtain any function like f plus a function h(y,z). We will use the substitution method. We call u(x) = xy. The derivate of u (in respect to x) is y, hence

\int{ycos(xy)} \, dx = \int cos(u) \, du = sen(u) + C = sen(xy) + C(y,z)  

(Remember that c is treated like a constant just for the x-variable).

This means that f(x,y,z) = sen(x,y)+C(y,z). The derivate of f respect to the y-variable is xcos(xy) + d/dy (C(y,z)) = xcos(x,y) - ye^{yz}. Then, the derivate of C respect to y is -ze^{yz}. To obtain C, we can integrate that expression over the y-variable using again the substitution method, this time calling u(y) = yz, and du = zdy.

\int {-ye^{yz}} \, dy = \int {-e^{u} \, dy} = -e^u +K = -e^{yz} + K(z)

Where, again, the constant of integration depends on Z.

As a result,

f(x,y,z) = cos(xy) - e^{yz} + K(z)

if we derivate f over z, we obtain

f_z(x,y,z) = -ye^{yz} + d/dz K(z)

That should be equal to -ye^(yz), hence the derivate of K(z) is 0 and, as a consecuence, K can be any constant. We can take K = 0. We obtain, therefore, that f(x,y,z) = cos(xy) - e^(yz)

The endpoints of the curve are r(0) = (0,0,1) and r(1) = (1,π/2,0). FOr the Fundamental Theorem for Line integrals, the integral of the gradient of f over C is f(c(1)) - f(c(0)) = f((0,0,1)) - f((1,π/2,0)) = (cos(0)-0e^(0))-(cos(π/2)-π/2e⁰) = 0-(-π/2) = π/2.

3 0
3 years ago
Please help!! I’m not sure how to answer this question!!
nlexa [21]
<h3>Answer:  9V</h3>

=============================================================

Reason:

The volume expression of a cone with radius r and height h is

\frac{1}{3}\pi*r^2*h

Let's plug in the given height h = 12 and we'd get

\frac{1}{3}\pi*r^2*h\\\\\frac{1}{3}\pi*r^2*12\\\\\left(\frac{1}{3}*12\right)\pi*r^2\\\\4\pi*r^2\\\\

This is the volume of the first cone. We're told the first cone has a volume of V, so we can say V = 4\pi r^2

We can't find the actual numeric volume because we don't know what value replaces r. So we leave it as is.

The second cone has the same height (h = 12) but the radius is now 3 times in size. Instead of r, we use 3r

Replace every copy of r with 3r. Then simplify

4\pi*r^2\\\\4\pi*(3r)^2\\\\4\pi*9r^2\\\\9(4\pi r^2)\\\\9V\\\\

The radius tripled which results in a volume that's 9 times bigger.

3 0
1 year ago
Complete the equation so that it has solutions of –5 and 7.<br> +<br> = 0
nekit [7.7K]

Answer:

the answer is - 2

Step-by-step explanation:

7-5=2-2=0

8 0
2 years ago
What is the domain of F(x)=9-x??<br> F F(x) &gt;9<br> G All real numbers<br> H-3 1 x59
Julli [10]
I’m pretty sure it’s h because the lines meet in the x axis
8 0
2 years ago
Other questions:
  • The square of five is
    14·1 answer
  • How are your suppose to simplify 4y-y
    14·2 answers
  • Which of the following points is in the solution set of y
    8·1 answer
  • Write an algebraic expression for nine more than a number h.
    7·1 answer
  • Which postulate or theorem proves that these two triangles are congruent?
    7·2 answers
  • Which is true about the polynomial ?
    14·1 answer
  • Guys l forgot how to do this l knew how to buy can someone please remind me what to do asap pleasee
    9·1 answer
  • How much does a whole herd of yak’s weight?<br> A.) 33 ounces <br> B.) 33 pounds<br> C.) 33 tons
    9·2 answers
  • In a particular baseball park, the distance from home plate down the third baseline to the bottom of the left field wall is 306
    12·1 answer
  • The Tropical Bay Resort complex is building a new irrigation system to ensure proper watering of their luscious landscape. Assum
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!