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3 years ago

Write an algebraic expression for the word phrase six times a lenght w?

1 answer:

5 0

Depending on what you trying to say...

Six times a length (w) is 6w
or
Six times a length is w, is 6l=w

But I can't tell because of the typo

Hope this helps!

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Find the coordinates of T' after the given translation.

Karo-lina-s [1.5K]

I believe it’s C because the original coordinates where (1, -3) all you will have to do it’s subtract -6 by 1 and add 2 and -3

8 0

2 years ago

The rate at which an assembly line workers efficiency E (expressed as a percent) changes with respect to time t is given by E'(t

zavuch27 [327]

By the fundamental theorem of calculus,

$E(t)=E(1)+\displaystyle\int_1^t E'(u)\,\mathrm du$

So we have

$E(t)=92+\displaystyle\int_1^t(75-6u)\,\mathrm du$

$E(t)=92+(75u-3u^2)\bigg|_1^t$

$E(t)=20 + 75 t - 3 t^2$

4 0

2 years ago

A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the

serious [3.7K]

Answer:

The equation is $A=6000e^{-0.23t}$ at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it decays by using t=3 hours and A=3000. This means $A_0=6000$ in this context.

$A=A_0e^{rt}\\3000=6000e^{r(3)}$

$0.5=e^{(24.5)r}$

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

$ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r$

We know $lne=1$ so we were able to cancel it out and divide both sides by 3.

We solve with a calculator $\frac{ln0.5}{3} =r\\-0.23=r$

We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.

The equation is $A=6000e^{-0.23t}$

5 0

3 years ago

An=-31+(n-1)-11 find the eleventh term

Lilit [14]

An=-31+(n-1)-11 find the eleventh term

a11 = -31 + (-11) (11-1)

a11 = -31 +-11(10)

a11 =-31 +-110

a11 = -142

3 0

3 years ago

What is the value of x in the equation? 3(2x+3)=27

seropon [69]

Answer:

x=3

Step-by-step explanation:

3(2x+3)=27

2x+3=27/3=9

2x=9-3=6

x=6/2=3

7 0

2 years ago