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4 years ago

Time (in minutes)

Mathematics

1 answer:

motikmotik4 years ago

7 0

Answer:

Time (in minutes)

Distance (in kilometers)

1010

1515

10.510.5

10.5

10, point, 5

2020

1414

Write an equation to describe the relationship between

, the time, and

, the distance. the constant is 40

Step-by-step explanation:

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how many meatballs are required fora party of 10 adults and 5 childen? fomual is m=4a+2 where c= children and m=meatball and a=

professor190 [17]

The answer is 42 because there are 10 adults and
M=4(10)+2
M=40+2
M=42

3 0

4 years ago

Evaluate the surface integral. s x2 + y2 + z2 ds s is the part of the cylinder x2 + y2 = 4 that lies between the planes z = 0 an

Leya [2.2K]

Parameterize the lateral face $T_1$ of the cylinder by

$\mathbf r_1(u,v)=(x(u,v),y(u,v),z(u,v))=(2\cos u,2\sin u,v$

where $0\le u\le2\pi$ and $0\le v\le3$ , and parameterize the disks $T_2,T_3$ as

$\mathbf r_2(r,\theta)=(x(r,\theta),y(r,\theta),z(r,\theta))=(r\cos\theta,r\sin\theta,0)$
$\mathbf r_3(r,\theta)=(r\cos\theta,r\sin\theta,3)$

where $0\le r\le2$ and $0\le\theta\le2\pi$ .

The integral along the surface of the cylinder (with outward/positive orientation) is then

$\displaystyle\iint_S(x^2+y^2+z^2)\,\mathrm dS=\left\{\iint_{T_1}+\iint_{T_2}+\iint_{T_3}\right\}(x^2+y^2+z^2)\,\mathrm dS$
$=\displaystyle\int_{u=0}^{u=2\pi}\int_{v=0}^{v=3}((2\cos u)^2+(2\sin u)^2+v^2)\left\|{{\mathbf r}_1}_u\times{{\mathbf r}_2}_v\right\|\,\mathrm dv\,\mathrm du+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}((r\cos\theta)^2+(r\sin\theta)^2+0^2)\left\|{{\mathbf r}_2}_r\times{{\mathbf r}_2}_\theta\right\|\,\mathrm d\theta\,\mathrm dr+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}((r\cos\theta)^2+(r\sin\theta)^2+3^2)\left\|{{\mathbf r}_3}_r\times{{\mathbf r}_3}_\theta\right\|\,\mathrm d\theta\,\mathrm dr$
$=\displaystyle2\int_{u=0}^{u=2\pi}\int_{v=0}^{v=3}(v^2+4)\,\mathrm dv\,\mathrm du+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}r^3\,\mathrm d\theta\,\mathrm dr+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}r(r^2+9)\,\mathrm d\theta\,\mathrm dr$
$=\displaystyle4\pi\int_{v=0}^{v=3}(v^2+4)\,\mathrm dv+2\pi\int_{r=0}^{r=2}r^3\,\mathrm dr+2\pi\int_{r=0}^{r=2}r(r^2+9)\,\mathrm dr$
$=136\pi$

7 0

3 years ago

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

GarryVolchara [31]

Answer:

D. $( {x} - 2)^{2} = 7$

Step-by-step explanation:

$3 {x}^{2} - 12x = 9 \\ 3( {x}^{2} - 4x) = 9 \\ {x}^{2} - 4 x= 3 \\ {x}^{2} - 4x + 4 = 3 + 4 \\ {x}^{2} - 4x + {2}^{2} = 7 \\ ( {x} - 2)^{2} = 7$

5 0

3 years ago

a tree increases in diameter each year by an average of 0.51cm. If the tree currently has a diameter of 4 inches, how old do you

Zepler [3.9K]

There are 2.54 cm in 1 inch. Since we are estimating, we can round the average growth per year to .5 cm which would give you roughly 5 years per inch of diameter (2.5 / .5 = 5). Since we have a tree with a 4 inch diameter, we can estimate the age of the tree is...

4 inches x 5 years/inch = 20 years old.

8 0

3 years ago

What is 5 ___ square root 18

sweet [91]

Answer:

Step-by-step explanation:

5 is greater than the $\sqrt{18}$ .

$\sqrt{18}$ = 4.24264068712 ...

<u>Hope this helps and have a nice day!</u>

6 0

3 years ago

Read 2 more answers