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3 years ago

Is 1.15 a rational number

Mathematics

1 answer:

iragen [17]3 years ago

6 0

Answer:

Step-by-step explanation:

The given number is 1.15. Here, the digits after the decimal are terminating, so the given number is rational, NOT irrational. Thus, 1.15 is NOT an irrational number.

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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.

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

t=415.63 minutes

6 0

3 years ago

Operations with Fractions

Mila [183]

Answer:

option a or c

Step-by-step explanation:

hope it helps u

6 0

2 years ago

Read 2 more answers

Negative one fourths times negative six elevenths

Ipatiy [6.2K]

You multiply fractions simply by multiplying numerators and denominators with each other:

$-\dfrac{1}{4} \times \left(-\dfrac{6}{11}\right) = \dfrac{1 \times 6}{4 \times 11} = \dfrac{6}{44} = \dfrac{3}{22}$

3 0

3 years ago

From Denver yo Chicago =3in if the scale is 1in=300miles

Amiraneli [1.4K]

Basically a proportion so it’d be 1in/300 mi = 3in/x mi
cross multiple that out and you get 300•3=x and then just solve for x. the answer should be 900 miles.

5 0

2 years ago

P(2,-8), Q(8,-8), R(8, -2), S(2,-2)<br> 180° rotation<br> I need help quickly

kompoz [17]

Answer:

P(-2,8) Q(-8,8) R(-8,2) S(-2,2)

Step-by-step explanation: 180 degree rotation rule = (x,y) ---- (-x,-y)

ex : point B (-2, 7) will be B' (2, -7)

6 0

3 years ago