ITS AN EMERGENCY PLEASE HELPP MEEEE !!!!

Jessica earns $63.70 in 6.5 hours. How much does she earn in 1 hour?

hichkok12 [17]

She earned 9.8 bc if u cross multiply and a proportion of 63.7/6.5=x/1 u get 63.7=6.5x divide 6.5 for both sides of the equal sign and get 9.8

8 0

3 years ago

On the assembly line it takes 2 ½ minutes to complete task one, 3 minutes 10 seconds to complete task two and 1 minute to comple

Arlecino [84]

I dont know thats a hard one

3 0

3 years ago

Read 2 more answers

Let f(x,y,z) = ztan-1(y2) i + z3ln(x2 + 1) j + z k. find the flux of f across the part of the paraboloid x2 + y2 + z = 3 that li

Sophie [7]

Consider the closed region $V$ bounded simultaneously by the paraboloid and plane, jointly denoted $S$ . By the divergence theorem,

$\displaystyle\iint_S\mathbf f(x,y,z)\cdot\mathrm dS=\iiint_V\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV$

And since we have

$\nabla\cdot\mathbf f(x,y,z)=1$

the volume integral will be much easier to compute. Converting to cylindrical coordinates, we have

$\displaystyle\iiint_V\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\iiint_V\mathrm dV$
$=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=2}^{z=3-r^2}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle2\pi\int_{r=0}^{r=1}r(3-r^2-2)\,\mathrm dr$
$=\dfrac\pi2$

Then the integral over the paraboloid would be the difference of the integral over the total surface and the integral over the disk. Denoting the disk by $D$ , we have

$\displaystyle\iint_{S-D}\mathbf f\cdot\mathrm dS=\frac\pi2-\iint_D\mathbf f\cdot\mathrm dS$

Parameterize $D$ by

$\mathbf s(u,v)=u\cos v\,\mathbf i+u\sin v\,\mathbf j+2\,\mathbf k$
$\implies\mathbf s_u\times\mathbf s_v=u\,\mathbf k$

which would give a unit normal vector of $\mathbf k$ . However, the divergence theorem requires that the closed surface $S$ be oriented with outward-pointing normal vectors, which means we should instead use $\mathbf s_v\times\mathbf s_u=-u\,\mathbf k$ .

Now,

$\displaystyle\iint_D\mathbf f\cdot\mathrm dS=\int_{u=0}^{u=1}\int_{v=0}^{v=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(-u\,\mathbf k)\,\mathrm dv\,\mathrm du$
$=\displaystyle-4\pi\int_{u=0}^{u=1}u\,\mathrm du$
$=-2\pi$

So, the flux over the paraboloid alone is

$\displaystyle\iint_{S-D}\mathbf f\cdot\mathrm dS=\frac\pi2-(-2\pi)=\dfrac{5\pi}2$

6 0

3 years ago

if you deposit 4500 at 5% annual interest compounded annually how much money will be in the account after 30 months

Alja [10]

Answer:

A = $ 50,978.44

Step-by-step explanation:

First, convert R percent to r a decimal

r = R/100

r = 5%/100

r = 0.05 per year,

Then, solve our equation for A

A = P(1 + r/n)nt

A = 45,000.00(1 + 0.004166667/12)(12)(2.5)

A = $ 50,978.44

8 0

2 years ago

A baseball stadium has 45,000 seats. If tickets have been brought for 5/8 of the seats for the next game, how many seats are sti

Nadusha1986 [10]

Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of seats that are available in the stadium is 16,875.

<h3>What is subtraction?</h3>

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given that a baseball stadium has 45,000 seats, out of this 45,000 seats, 5/8 of the seats are bought for the next game.

Therefore, the number of seats that are still available is,

Number of seats available

= Total number of seats - Seats already sold

= 45,000 - (45,000 × 5/8)

= 45,000 - 28,125

= 16,875

Hence, the number of seats that are available in the stadium is 16,875.

Learn more about Subtraction here:

brainly.com/question/1927340

#SPJ1

6 0

1 year ago