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Talja [164]
3 years ago
13

Place the following decimals in order from least to greatest 2.09,2.005,.2,2.033,2.1,2.05

Mathematics
1 answer:
tino4ka555 [31]3 years ago
5 0

Answer:

.2,2.,2.005,2.033,2.05,2.09,2.1

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A particle moves along the x-axis so that at any time t, t ≥ 0, its acceleration is a(t) = -4sin(2t). If the velocity of the par
sasho [114]

The velocity of the particle is given by

v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du

Since a(t)=-4\sin2t and v(0)=7, we get

\displaystyle\int_0^ta(u)\,\mathrm du=\int_0^t-4\sin2u\,\mathrm du=2\cos2u\bigg|_0^t=2\cos2t-2

\implies v(t)=2\cos2t+5

Similarly, the position function is obtained via

x(t)=x(0)+\displaystyle\int_0^tv(u)\,\mathrm du

We know v(t) and we're told that x(0)=0, so

\displaystyle\int_0^tv(u)\,\mathrm du=\int_0^t(2\cos2u+5)\,\mathrm du=\sin2u+5u\bigg|_0^t=\sin2t+5t

\implies x(t)=\sin2t+5t

making the answer A.

3 0
3 years ago
Select the correct answer.<br> Which graph shows a function and its inverse?
labwork [276]

Answer:

See below

Step-by-step explanation:

If a function is bijective and 1-to-1, then it will have an inverse function. Consequentially, they will be symmetrical about the line y=x, which is a diagonal line passing through the origin at a 45 degree angle.

None of the graphs look correct though, but it also seems that some options are cut out, so make sure to choose the correct graph given the characteristics I've previously described.

6 0
2 years ago
Read 2 more answers
Lila decided to make more baked goods for the bake sale. She used 1/8 lb less flour to make bread than to make cookies. She used
lord [1]

Answer:

Ok so we are trying to find out how much flour she used to make brownies so we already know that she used 1/2 flour to make bread and She uses 1/8 flour less flour to make bread than to make cookies so if we add 1/2 and 1/8 we will get the amount of flour she used to make the cookies so 1/2 + 1/8 = 5/8 so now that we have the amount of flour she used to make the cookies  we know that that is 1/4 more flour than brownies so if we subtract 5/8 by 1/4 we will get are answer to how much flour she uses to make brownies so 5/8 - 1/4 = 3/8 and that's your answer do you understand?

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Can anybody help? this is a test pleasee..!
Evgen [1.6K]

Answer:

16

Step-by-step explanation:

so 20% is 160 and 10% of that is 16

5 0
3 years ago
Determine the equation whose roots are –1 –5 and –3
Alexus [3.1K]
Well you are given the roots.

if we have 3 it would.have to be x^3. So something like:

y = ax^3 + bx^2 + cx + d

this could.also be written:

y = (x + a) (x + b) (x + c)

when you are able to write it like this, we know that the opposite of a, b, and c are roots. this is because if we can make any of the insides of the 3 parenthesis equal 0 then y = 0 and that x.is a root. Well if we know the 3 roots that x will be then we just have to figure out the a, b, and c. So let's plug our roots in.

y = (-1 + a) (-5 + b) (-3 + c)

now we have to make each parenthesis equal 0 to find what a, b, and c should be. It is obvious a = 1 to make.that one zero and b = 5 and c = 3. So we know a, b, and c. now let's plug.those into our first equation.

y = (x + 1) (x + 5) (x + 3)

this is your equation. You can multiply out if necessary
5 0
3 years ago
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