If x=am-an then a equals

Mathematics

1 answer:

Iteru [2.4K]3 years ago

6 0

ANSWER: a=x/(m-n)

x=a(m-n)
a=x/(m-n)

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Using transformation (x-2 y+3) find the new coordinates of (7 -5) brainly

trasher [3.6K]

Answer:

(5, -2)

Step-by-step explanation:

In the coordinates (7, -5), 7 is the x-coordinate and -5 is the y-coordinate.

The transformation, (x-2 y+3), states that the x-coordinate, 7, must be subtracted by 2.

When subtracted by two, (7 - 2), the difference is 5.

The transformation, (x-2 y+3), states that the y-coordinate must be increased by 3.

When added by 3, (-5 + 3), the sum is -2.

Therefore, the new coordinates are (5, -2).

3 0

2 years ago

I'm studying a new bacteria that doubles in numbers every 25 minutes. If i start with 50 bacteria, how long until i have 5 milli

dimaraw [331]

Answer:

415.63 minutes

Step-by-step explanation:

Growth can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it grows by using t=25 minutes and $\frac{A_{0}}{A} =2$ or double the amount at that time. The first step we always take is to divide $A_0$ by A.

$[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}$

$2=e^{(25)r}$

To solve for r, we will take the natural log of both sides and use log rules to isolate r.

$ln 2=ln e^{(25)r}\\ln 2=25r (ln e)\\\frac{ln2}{25} =r$

We know $lne=1$ so we were able to cancel it out and divide both sides by 25.

We solve with a calculator $\frac{ln2}{25} =r\\0.0277=r$

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is $A=A_0e^{0.0277t}$ .

We repeat the step above substituting A=5,000,000, $A_0$ =50, and r=0.02777. Then solve for t.

$5000000=50e^{0.0277t}\\\frac{5000000}{50} =e^{0.0277t}\\100000=e^{0.0277t}\\ln100000=lne^{0.0277t}\\ln100000=0.02777t(lne)\\\frac{ln100000}{0.0277} =t$