The of the origin of a graph are (0,0)

Mathematics

2 answers:

Delvig [45]2 years ago

8 0

If the question is True or False then the answer is True

elena55 [62]2 years ago

8 0

<span>In the general case, the origin of a graph is (0,0). You can always change the origin at any time, as long as it helps you solve a question that require graphing.</span>

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Click the picture that I sent you

Digiron [165]

Answer: 1211.6585 years

<u>Step-by-step explanation:</u>

The equation for exponential growth is: $P=P_oe^{kt}$

P: final population
P₀: initial population
k: rate of decay (or growth)
t: time

Use the half life information to find k:

$\dfrac{1}{2}P_o=P_oe^{k(800)}\\\\\\\dfrac{1}{2}=e^{800k}\qquad \rightarrow \qquad \text{divided both sides by}\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=800k\qquad \rightarrow \qquad \text{applied ln to both sides}\\\\\\\dfrac{ln(\frac{1}{2})}{800}=k\qquad \rightarrow \qquad \text{divided both sides by 800}\\\\\\\large\boxed{-0.000867=k}$

Next, input the information (65% decayed = 35% remaining) and the k-value to find your answer.

$.35P_o=P_oe^{-0.000867t}\\\\\\.35=e^{-0.000867t}\\\\\\ln(.35)=-0.000867t\\\\\\\dfrac{ln(.35)}{-0.000867}=t\\\\\\\large\boxed{1211.6585=t}$

5 0

3 years ago

What is the center of the circle? Please show steps!

Vika [28.1K]

Answer:

Step-by-step explanation:

The equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the equation:

$x^2+(y-4)^2=25\\\\(x-0)^2+(y-4)^2=5^2$

h = 0, k = 4, r = 5

7 0

3 years ago

If 48% of the students in a certain college are female and there are 1440 female students, what is the total number of students

Andrews [41]

Answer:

3000 students

Step-by-step explanation:

If 48% of the students are female, and there are 1440 female students, we can set up a percentage proportion, assuming x is the total amount of students.

$\frac{1440}{x} = \frac{48}{100}$