Find the surface area of the pyramid. 64in 56in 88in 118in

Beth is making fruit salad. She adds 4 grapes for every 2 strawberries. If she uses 14 strawberries, how many grapes will she us

kykrilka [37]

Answer:

28 grapes

Step-by-step explanation:

14 divided by 2 is 7 so you multiply 7 by 4 and you get 28

7 0

3 years ago

Read 2 more answers

A plane flies from San Francisco to New York City at 600 miles per hour and returns along the same route at 400 miles per hour.

ozzi

Answer: 500 i think

Step-by-step explanation:

8 0

3 years ago

What s the answer giving brainliest hehe

telo118 [61]

Answer: B.

Step-by-step explanation: B is the only option that provides the division symbol.

5 0

3 years ago

Consider F and C below. F(x, y, z) = y2 sin(z) i + 2xy sin(z) j + xy2 cos(z) k C: r(t) = t2 i + sin(t) j + t k, 0 ≤ t ≤ π (a) Fi

Liono4ka [1.6K]

Answer:

a) $f (x,y,z)= xy^2\sin(z)$

b) $\int_C F \cdot dr =0$

Step-by-step explanation:

Recall that given a function f(x,y,z) then $\nabla f = (\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z})$ . To find f, we will assume it exists and then we will find its form by integration.

First assume that F = $\nabla f$ . This implies that

$\frac{\partial f}{\partial x} = y^2\sin(z)$ if we integrate with respect to x we get that

$f(x,y,z) = xy^2\sin(z) + g(y,z)$ for some function g(y,z). If we take the derivative of this equation with respect to y, we get

$\frac{\partial f}{\partial y} = 2xy\sin(z) + \frac{\partial g}{\partial y}$

This must be equal to the second component of F. Then

$2xy\sin(z) + \frac{\partial g}{\partial y}=2xy\sin(z)$

This implies that $\frac{\partial g}{\partial y}=0$ , which means that g depends on z only. So $f(x,y,z) = xy^2\sin(z) + g(z)$

Taking the derivative with respect to z and making it equal to the third component of F, we get

$xy^2\cos(z)+\frac{dg}{dz} = xy^2\cos(z)$

which implies that $\frac{dg}{dz}=0$ which means that g(z) = K, where K is a constant. So

$f (x,y,z)= xy^2\sin(z)$

b) To evaluate $\int_C F \cdot dr$ we can evaluate it by using f. We can calculate the value of f at the initial and final point of C and the subtract them as follows.

$\int_C F \cdot dr = f(r(\pi))-f(r(0))$

Recall that $r(\pi) = (\pi^2, 0, \pi)$ so $f(r(\pi)) = \pi^2\cdot 0 \cdot \sin(\pi) = 0$

Also $r(0) = (0, 0, 0)$ so $f(r(0)) = 0^2\cdot 0 \cdot \sin(0) = 0$

So $\int_C F \cdot dr =0$

5 0

3 years ago

One third of the candidates for a job were 25 years old or younger. two sevenths of the candidates were at least 50 years old. i

Shalnov [3]

There are three groups of people: 25 years old and younger, between 25 to 50, and 50 years old and older. Their fractions must equal to 1 because these three together form the whole.

1 = 1/3 + 2/7 + x
where x is the fraction for people ages 25 to 50 years old
x = 8/21

So, the actual number of people ages 25 to 50 years old is:

84(8/21) = 32 people

7 0

3 years ago

Find the surface area of the pyramid.64in56in88in118in​

Find the surface area of the pyramid.64in56in88in118in