1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
goblinko [34]
3 years ago
5

Click the picture that I sent you

Mathematics
1 answer:
Digiron [165]3 years ago
5 0

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}

You might be interested in
Find 1/3 of 5 times 6
hoa [83]
5 times 6 is 30 and 1/3 of 30 is 10. the answer is 10
6 0
3 years ago
6x^2-66x+144=0 solving quadratic equation
madam [21]

Factor out the common term 6

6(x^2 - 11x + 24) = 0

Factor x^2 - 11x + 24

6(x - 8)(x - 3) = 0

Solve for x;

<u>x = 8,3</u>

6 0
3 years ago
If y = x2 + 2x , find the value of y when x = 5
Arturiano [62]

Answer:

Step-by-step explanation:

Okay so you are gonna substitute x for 5 so the equations will look like y= (5)2+(5)2

So 10+10 = 20

So y=20

8 0
3 years ago
Can someone please help me with number 2?I don't know what I did wrong.​
Dmitry [639]

Part A

Let's say point P is the starting point and point Q is the endpoint

x = one-way distance from P to Q, and vice versa

The goal is to find x, then compute 2x to find the round trip distance traveled.

We'll use this idea

distance = rate*time

which solves to

time = distance/rate

So when going from P to Q, the driver is going 70 mph and travels x miles

So the driver does this for distance/time = x/70 hours.

When going back, the driver slows down to 55 mph so the time taken here is x/55 hours.

The total time values add to x/70 + x/55 hours

Set this equal to the total driving time of 7 hours and solve for x

x/70 + x/55 = 7

70*55*(x/70 + x/55) = 70*55*7

70*55*(x/70) + 70*55*(x/55) = 26,950

55x + 70x = 26,950

125x = 26,950

x = (26,950)/125

x = 215.6 which is the one-way distance in miles

which then means,

2x = 2*215.6 = 431.2

Therefore, the total distance traveled is 431.2 miles

<h3>Answer: 431.2 miles</h3>

=========================================================

Part B

To find the duration of each trip, we simply need to evaluate x/70 and x/55. Those are the durations when going 70 mph and 55 mph respectively. These durations are measured in hours.

x/70 = (215.6)/70 = 3.08

x/55 = (215.6)/55 = 3.92

Note how 3.08+3.92 = 7 to help verify the answers.

<h3>Answers:</h3>
  • When going 70 mph, it takes about 3.08 hours
  • When going 55 mph, it takes about 3.92 hours
6 0
3 years ago
T-5 &gt;3(-2+t) <br> please help me
Vladimir79 [104]

Answer:

t < 1/2

Step-by-step explanation:

Isolate the <u>v</u><u>a</u><u>r</u><u>i</u><u>a</u><u>b</u><u>l</u><u>e</u> by dividing each side by <u>f</u><u>a</u><u>c</u><u>t</u><u>o</u><u>r</u><u>s</u> that don't contain the <u>v</u><u>a</u><u>r</u><u>i</u><u>a</u><u>b</u><u>l</u><u>e</u>.

Inequality Form: t < 1/2

Interval Notation: ( -infinity, 1/2)

3 0
2 years ago
Other questions:
  • Ana knows the perimeter of her backyard is 6x+14x. if the length of her yard is 2x+3x-7,what is the width of her backyard? answe
    7·1 answer
  • In △ABC, m∠A=15°, a=9, and b=12. Find c to the nearest tenth.
    15·2 answers
  • Evaluate (f-g)(3t) for f(x)=x²+1 and g(x)=x-4
    14·2 answers
  • How else can the ratio 14:1 be written
    7·1 answer
  • The bottom of a rectangular swimming pool has a perimeter of 142 meters and an area of 1,050 square meters. What are the dimensi
    10·1 answer
  • Which expression represents the sentence? Quadruple a number minus 17?
    9·2 answers
  • brodrick answered 21 of the 25 questions of his history correctly. what decimal represents the fraction of problems he answered
    7·2 answers
  • Kayla is blowing up balloons for her sister’s birthday party. She tries to blow up each balloon to a maximum diameter of 5 inche
    13·1 answer
  • Molly played an online game three times.Her score were 5.5. -3.6 and 12.8.What was her average score for the three games?
    9·1 answer
  • How many differnt triangles can you make if you are given these three measurements for angles
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!