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defon
3 years ago
13

When solving an equation, Carmen's first step is shown below.

Mathematics
1 answer:
balu736 [363]3 years ago
7 0

Answer:

D) commutative property of addition

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You have to solve this . Calculate the diameter of a human red blood cell is 0.000006 m. Write the diameter in scientific notati
Setler79 [48]

Answer:

6 x 10 to the -6 power

Step-by-step explanation:

Moved the decimal to the right 6, since less than 0 its negative

7 0
2 years ago
The number of possible genetically different gametes for an organism equals 2N, where N is the number of pairs of chromosomes. I
sergeinik [125]
The answer to the given question above would be option B. 8. Given that the number of possible genetically different gametes for an organism equals 2N, and  N is the number of pairs of chromosomes, if the <span>organism has four pairs of chromosomes, it can produce 8 different gametes. Hope this helps.</span>
8 0
3 years ago
Read 2 more answers
Cameron and Sam want to buy a Kindle.
melomori [17]

Answer:

5 weeks

Step-by-step explanation:

Let x represent the number of weeks they have been saving

Create an equation that sets Cameron and Sams' savings equal to each other, then solve for x

4x + 20 = x + 35

3x + 20 = 35

3x = 15

x = 5

So, they will have saved the same amount of money after 5 weeks

7 0
3 years ago
Evaluate the integral below, where C is the curver(t) = ‹sin(t),cos(t), sin(2t)›, 0 ≤ t ≤2π. (Hint: Observe that C lies on the s
nordsb [41]

We can compute the integral directly: we have

\begin{cases}x(t)=\sin t\\y(t)=\cos t\\z(t)=\sin(2t)\end{cases}\implies\begin{cases}\mathrm dx=\cos t\,\mathrm dt\\\mathrm dy=-\sin t\,\mathrm dt\\\mathrm dz=2\cos(2t)\,\mathrm dt\end{cases}

Then the integral is

\displaystyle\int_C(y+9\sin x)\,\mathrm dx+(z^2+4\cos y)\,\mathrm dy+x^3\,\mathrm dz

=\displaystyle\int_0^{2\pi}\bigg((\cos t+9\sin(\sin t))\cos t-(\sin^2(2t)+4\cos(\cos t))\sin t+\sin^3t\bigg)\,\mathrm dt

=\displaystyle\int_0^{2\pi}\cos^2t+9\cos t\sin(\sin t)-\sin^2(2t)\sin t-4\sin t\cos(\cos t)+\sin^3t\,\mathrm dt

You could also take advantage of Stokes' theorem, which says the line integral of a vector field \vec F along a closed curve C is equal to the surface integral of the curl of \vec F over any surface S that has C as its boundary.

In this case, the underlying field is

\vec F(x,y,z)=\langle y+9\sin x,z^2+4\cos y,x^3\rangle

which has curl

\mathrm{curl}\vec F(x,y,z)=-\langle2z,3x^2,1\rangle

We can parameterize S by

\vec s(u,v)=\langle u\cos v,u\sin v,2u^2\cos v\sin v\rangle=\langle u\cos v,u\sin v,u^2\sin(2v)\rangle

with 0\le u\le1 and 0\le v\le2\pi.

Note that when viewed from above, C has negative orientation (a particle traveling on this path moves in a clockwise direction). Take the normal vector to S to be pointing downward, given by

\dfrac{\partial\vec s}{\partial v}\times\dfrac{\partial\vec s}{\partial u}=\langle2u^2\sin v,2u^2\cos v,-u\rangle

Then the integral is

\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_S\mathrm{curl}\vec F(x,y,z)\cdot\mathrm d\vec S

=\displaystyle\int_0^{2\pi}\int_0^1-\langle2u^2\sin(2v),3u^2\cos^2v,1\rangle\cdot\langle2u^2\sin v,2u^2\cos v,-u\rangle\,\mathrm du\,\mathrm dv

=\displaystyle-\int_0^{2\pi}\int_0^14u^4\sin(2v)\sin v+6u^4\cos^3v-u\,\mathrm du\,\mathrm dv

Both integrals are kind of tedious to compute, but personally I prefer the latter method. Either way, you end up with a value of \boxed\pi.

4 0
3 years ago
PLEASE HELP !! it’s for math ...
vaieri [72.5K]

Answer:

Step-by-step explanation:

sum of angles of a triangle= 180°

x+2x+2x+10=180

5x+10=180

5x=170

x=170/5

x=34

.:

x=34°

2x=34×2=68°

2x+10=2×34+10=68+10=78°

3 0
3 years ago
Read 2 more answers
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