PLEASEE SHOW WORK ON ALL (except #3 but also answer :D) 10 POINTS EACH QUESTION SO 50 POINTS + BRAINLY

What are the next geometric sequences? The calculator won’t seem to give right answers

dalvyx [7]

5. the numbers are being multiplied by 4 each time, so the geometric sequence would be

an= 1/2(4) ^(n-1)

6. the numbers are being multiplied by 1/4 each time, so the geometric sequence would be

an= 32(1/4)^(n-1)

an in the formula is what ever term in the sequence.
32 or 1/2 is the a which is the first term in the sequence.
4 or 1/4 is the r in the sequence because it is the common ratio so what the equation was multiplied by to get the next term.
(n-1) is because when you are using this equation to solve for whatever term (an) you must subtract the first number in the sequence to get an accurate number

an you can input whatever number when trying to solve.

6 0

2 years ago

All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hou

beks73 [17]

Answer:

All the members of a construction crew work at the same pace. Four of them working together are able to pour concrete foundations in 32 hours.

Step-by-step explanation:

8 0

2 years ago

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

2 years ago

I NEED IT<<< I WILL MAKE YOU THE BRAINLIEST IF YOU CAN HELP ME

erma4kov [3.2K]

Answer:$728

Step-by-step explanation:

$156,000 less 20% is $124,800.

That is the amount that is being financed. If the rate is7% per year the first months interest is:

124,800*.07/12 = $728

You didn't ask but if the mortgage is like most conventional mortgages the 30 * 12 = 360 payments are all approximately equal, with less money expended on paying down the principal at first. Their equal payment would be: $830.30

5 0

2 years ago

What does U mean in geometry

Nata [24]

Answer:

So the union of sets A and B is the set of elements in A, or B, or both. The symbol is a special "U" like this: ∪ Example: Soccer = {alex, hunter, casey, drew}

Step-by-step explanation:

3 0

2 years ago