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Evgen [1.6K]
4 years ago
11

Time (in minutes)

Mathematics
1 answer:
motikmotik4 years ago
7 0

Answer:

Time (in minutes)

Distance (in kilometers)

1010

10

10

77

7

7

1515

15

15

10.510.5

10.5

10, point, 5

2020

20

20

1414

14

14

Write an equation to describe the relationship between

tt

t

t

, the time, and

dd

d

d

, 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
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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
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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
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