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3 years ago

This graph shows the amount of charge left on my computer, c, after I have been awake for h hours.

Mathematics

1 answer:

timurjin [86]3 years ago

6 0

Looks like 4.5. You want to find what h equals when c equals zero

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Factor the following expression. 27y^3 - 343

Solnce55 [7]

Answer:

(3y - 7)(9y^2 + 21y + 49)

Step-by-step explanation:

brainliest?

7 0

3 years ago

Read 2 more answers

What is the length of the line segment that begins at (2,6) and ends at (7,6)?

ivolga24 [154]

$\sqrt{(2-7)^2 + (6-6)^2} = \sqrt{25} = 5$

5 0

4 years ago

A 12-cm-long thin rod has the nonuniform charge density λ(x)=(2.0 nC/cm)e−|x|/(6.0 cm), where x is measured from the center of t

Inessa [10]

Answer:

the total charge is

$Q=24(1-\exp(-1))nC\approx15.171nC$

Step-by-step explanation:

Since x is measured from the center, that means that x=0 is the center so the edges of the rod correspond to x=-6 and x=6. that meas that the total charge can be calculated as

$Q=\int^{6}_{-6}2\exp\left(\frac{-|x|}{6}\right)dx$

separating the integral from -6 to 0 and from 0 to 6, taking into account that |x|=-x for x<0 and |x|=x for x >=0, we get $Q=\int^{0}_{-6}2\exp\left(\frac{x}{6}\right)dx+\int^{6}_{0}2\exp\left(\frac{-x}{6}\right)dx$

using the substitution x=-u in the first integral we get $\int^{0}_{-6}2\exp\left(\frac{x}{6}\right)dx=-\int^{0}_{6}2\exp\left(\frac{-u}{6}\right)du=\int^{6}_{0}2\exp\left(\frac{-u}{6}\right)du$

which is the same as the first integral. Thus, the total charge is given by

$Q=2\int^{6}_{0}2\exp\left(\frac{-x}{6}\right)dx$

integrating we get

$Q=4(-6\exp\left(\frac{-x}{6}\right))\big|^{6}_{0}=-24(\exp(-6/6)-\exp(0))=24(1-\exp(-1))$

4 0

3 years ago

27. Which expression is NOT equivalent to the other expressions?

Dahasolnce [82]

Answer:

Step-by-step explanation:

Choice A:

$(4x^2y)^2=(4x^2y)(4x^2y)=(4 \cdot 4)(x^2 \cdot x^2)(y \cdot y)=(16)(x^{2+2})(y^{1+1})=16x^{4}y^{2}$

Choice B:

$16x^4y^2$ appears exactly the same as choice A simplified.

Choice C:

$16x^2y^4$ is not the same as A or B since x doesn't have power 4 and y doesn't have power 2.

Choice D:

$4^2x^4y^2=(4 \cdot 4)x^4y^2=16x^4y^2$ is the same as A and B.

So the only odd ball is C.

6 0

3 years ago

Toan is building tables for the park Department. He needs 20 bolts for each table. If he has 60 bolts at his workplace and he ge

vodomira [7]

Roam can build 18 tables 300 plus the 60 he already had and then you divide it by 20 since that’s how much he needs for 1 table which means he can make 18 after dividing

5 0

3 years ago