Mathematics College

How do you do this question?

Answers

Answer 1

Step-by-step explanation:

(a) dP/dt = kP (1 − P/L)

L is the carrying capacity (20 billion = 20,000 million).

Since P₀ is small compared to L, we can approximate the initial rate as:

(dP/dt)₀ ≈ kP₀

Using the maximum birth rate and death rate, the initial growth rate is 40 mil/year − 20 mil/year = 20 mil/year.

20 = k (6,100)

k = 1/305

dP/dt = 1/305 P (1 − (P/20,000))

(b) P(t) = 20,000 / (1 + Ce^(-t/305))

6,100 = 20,000 / (1 + C)

C = 2.279

P(t) = 20,000 / (1 + 2.279e^(-t/305))

P(10) = 20,000 / (1 + 2.279e^(-10/305))

P(10) = 6240 million

P(10) = 6.24 billion

This is less than the actual population of 6.9 billion.

P(100) = 7570 million = 7.57 billion

P(600) = 20,000 / (1 + 2.279e^(-600/305))

P(600) = 15170 million = 15.17 billion

Related Questions

Find the slope between the points (0,4) and (1,5).

Answers

Answer:

M = 1

Step-by-step explanation:

The answer is 1.

Use the m=y2-y1/x2-x-1 formula to plug in the given points.

Hope this helps!

Find the measure of angle b.

Answers

Answer:

23 degrees

Step-by-step explanation:

157+b=180

The measure of angle b is 23° because 180°-157°=23°

Select all that apply.

Which of the following decimal numbers are examples of terminating decimals?

0.6868
832.15902...
1,087.59014
9.12 5
23.7
14. 1

Answers

First, third, fifth, and sixth answer

Answer:

First option

Sixth Option

Fifth Option

Third Option

Fourth Option

Step-by-step explanation:

Remember that a terminating decimal is a decimal that has a infinite amount of numbers after the decimal point. In this case we have 0.6868 which keeps going because it's repeating therefore it's a terminating decimal. Same rule goes for all the other options.

Hope this helps.

Find the value of x in the triangle.

Answers

Answer:

X = 65*

Step-by-step explanation:

Each triangle's angles equal 180*. So the equation you would type to find X is

180 - 65 - 50 = X

X = 65

David wants to arrange the cars on his car lot. He wants to park the cars in rows with the same number of each type of car in each row. What is the greatest number of rows David can have?

A. 4
B. 12
C. 24
D. 84

PLEASE HURRY I WILL GIVE BRAINLIEST

Answers

The answer is C. 24

Sorry if I'm wrong

Answer:

Step-by-step explanation:

Estimate the average rate of change of the graphed function, over the interval 0 ≤ x ≤ 2.

Answers

Answer:

A) 2

Step-by-step explanation:

(0,3) and (2,7)

Use slope formula

(7-3)/(2-0) = 4/2 = 2

Answer:

A) 2

Step-by-step explanation:

Find to 3 decimal places the value of t for the distribution for the following.
Area in the left tail 0.005 and n= 25.

Answers

Answer:

-2.797

Step-by-sep explanation:

The area in the left tail is the level of significance = [tex] \alpha = 0.005 [/tex]

n = 25

Since sample size, n, = 25,

Degree of freedom = n - 1 = 25 - 1 = 24

The value of t for the t distribution, that is the t critical value, would be:

[tex] -t\binom{n - 1}{\alpha} = -t\binom{9}{0.005} [/tex]

The t critical value can be gotten from the t-table at the intersection of the row representing 24 degrees of freedom and the [tex] t_{0.005} [/tex] column. This would give us -2.797

The t critical value of the left tail would be critical value is -2.797.

6. A total of 1,022 guests are attending a reception. If eachtable can seat
exactly 12 people, what is the LEAST number of tables needed to seat all
guests? *

Answers

1022/12 is 85.16667

meaning the least amount of tables needed is 85 to hold all 1022 guests

Answer:

Step-by-step explanation:

1022/12 = 85.16666 which would mean that 85 tables would hold 12 people (1020) and 1 table would hold 2 people. So 86 tables to seat all the guests .

Evaluate the expression for the given values of the variables.
(n + 6)2 for n = -8
When n = -8, the expression is equal to
Fastttt

Answers

Answer:

Answer of this is... 4...

Fourrrrrrrrrrrrrrrrrrrrr

Solve 162X - 1 = 64

Answers

Answer:

x=0.4012

Step-by-step explanation:

162X - 1 = 64

162x = 64 +1

162x= 65

x=65/162

x=0.4012

What is this property?

Answers

Answer: Reflexive Property Of Congruence

Step-by-step explanation:

2. The cost of a computer has been discounted by $239, so that the sale price is $1230.
Find the original price of the computer, c, by solving the equation: C – 239 = 1230

Answers

Answer:

5 dolla footlong

Step-by-step explanation:

Working simultaneously, four fudge machines complete a big order in 32 hours. All the machines at the fudge factory work at the same pace. In how many hours will the order be complete with twice the number of working machines?

Answers

Answer:16

Step-by-step explanation:

Answer:

16 hours

Step-by-step explanation:

The measures of the three angles in a tri-
angle are in the ratio 1:2:3.

Answers

Answer:

30,60,90

Step-by-step explanation:

triangle are in the ratio 1:2:3.

Angles=X,2x,3x

X+2x+3x=180

6x=180

X=180/6

X=30

So angles are 30,60,90

Evaluate the expression on top

Answers

Apply PEMDAS.

10^2 + (8)^2 - 5

100 + 16 - 5

116 - 5

Answer: 111

Answer:

The answer is 159!

Step-by-step explanation:

Use

Parantheses

Exponents

Multiplication

Division

Addition

Subtraction

Parantheses first, so your equation is now: 10^2 + 8^2-5

Then exponents! Now your equation is 100+64-5

Then simply do the addition + subtraction left to right, and your answer is 159. Also you don't have to but mind marking Brainliest? :D

Ms. Twillie's class (25 students) and Ms. Grober's class (24 students) are off to the Field Museum for a field trip. Their expenses will be as follows: the program cost $10 per student; the bus costs $235.20; and the group will have lunch at a charge of $2.75 per student. If every student participates in the field trip, how much do each of students have to pay to go on the field trip?

Answers

Answer: Each student need to pay $ 17.55 to go on the field trip.

Step-by-step explanation:

As per given, Total students = 25+24 = 49

Program cost per student = $10

Bus cost = $235.20

Charge per student =$2.75

Total cost of trip = (Program cost+ Charge per student ) (Total students)+ Bus cost

Total cost of trip = $ [( 10 +2.75)(49) + 235.20]

= $[12.75(49)+235.20]

= $ [624.75+235.20]

= $ 859.95

Each student have to pay = (Total cost of trip ) ÷ (Total students)

= (859.95 ) ÷ 49

= $ 17.55 [approx.]

Hence, Each student need to pay $17.55 to go on the field trip.

Amy drew a map of Texas for Mrs.Smith’s class. According to Amy’s map scale, a half inch on the map represents approximately 28.5 kilometers. If the actual distance from Austin to Amarillo is approximately 798 kilometers, what is the approximate distance between Austin and Amarillo on Amy’s map?

Answers

Answer:

the distance between Austin and Amarillo on Amy's map is 14 inches

Step-by-step explanation:

798 ÷ 28.5 = 28

28 ÷ 2 = 14

If m<4=63, what is m<1?

Answers

Answer:

m<11=5.75

Step-by-step explanation:

since you already know what m<4 is

we just have to divide the result (63) by 4

63%4=15.75

therefore m<1= 15.75

How many times does the digital one appear from 101 to 200

Answers

Answer:

119

Step-by-step explanation:

101: 2 times

102-109: 8 times

110: 2 times

111: 3 times

112-119: 16 times

120-129: 11 times

130-139: 11 times

140-149: 11 times

150-159: 11 times

160-169: 11 times

170-179: 11 times

180-189: 11 times

190-199: 11 times

Total: 119 times

Penny makes 5 liters of applesauce. She saves 0.17 liter for dinner and puts the rest in jars. If each jar holds 0.69 liter, how many jars can she fill?

Answers

Answer:

8 jars

Step-by-step explanation:

draw the graph y = 4 x - 1 on the grid

Answers

Answer:

From the graph, it is also clear that at [tex]y=1[/tex], the value

of [tex]x=\frac{1}{2}[/tex].

Step-by-step explanation:

Given the equation

[tex]y = 4 x - 1[/tex]

The graph is attached below.

Putting [tex]y=1[/tex] in the equation to find the value of x

[tex]y = 4 x - 1[/tex]

[tex]1 = 4x-1[/tex]

[tex]2 = 4x[/tex]

[tex]x=\frac{2}{4}[/tex]

[tex]x=\frac{1}{2}[/tex]

From the graph, it is also clear that at [tex]y=1[/tex], the value

of [tex]x=\frac{1}{2}[/tex].

which statement about 4(x-3) is true
A. 4(x-3) is a product
B. 4(x-3) has three terms
C. 4(x-3) has two terms
D. 4(x-3) is a sum
HELPPPP PLZ!!!!!!

Answers

Answer : C. 4(x-3) has two terms

A hole is being dug into the ground at a rate of 5.3 feet per minute. Write an integer to describe the depth of the hole after 15 minutes.

Answers

Answer:

79.5 feet

Step-by-step explanation:

5.3 per minute can also be written as the ratio 5.3:1. so if we have x:15, we can see that we've multiplied the right side by 15 so we have to do the same to the other side. 15 times 5.3 is 79.5. so thats your answer.

i hope this helps :))

The integer that explained the depth of the hole after 15 minutes is 79.5 feet.

Given that,

The rate should be 5.3 feet per minute.The time in minutes should be 15 minutes.

So, the integer that explained the depth of the hole after 15 minutes is

[tex]= Rate \times time \\\\= 5.3 \times 15\\= 79.5\ feet[/tex]

Therefore we can conclude that the integer that explained the depth of the hole after 15 minutes is 79.5 feet.

Learn more about the integer here: brainly.com/question/14232618

given g(x)=-x+3. solve for x when g(x)=-1

Answers

Answer:

Step-by-step explanation:

- x + 3 = - 1 ⇒ x = 4

Answer:

Step-by-step explanation:

g(x) = -x + 3

g(-1) = -(-1) + 3

=1+3

I really need help

Answers

Answer:

PEMDAS.

Step-by-step explanation:

the ratio of basketball to baseball is 5:4 what do i put basketball or basketball

Answers

Answer:

i'm not that sure what you mean but here's what i think your aksing..

Step-by-step explanation:

5 is for basketball and 4 is for baseball

Answer:

hi my name is trey and i have a basketball game tomorrow, well i'm a point guard and i got shoe game.

A plot of grass behind a building is shown.

A composite figure is shown.
The top horizontal side is labeled 16 meters. The left vertical side is labeled 8 meters and the right vertical side is labeled 16 meters. From the bottom corner of the left side, a horizontal side that is labeled 12 meters goes right. From its right end, a vertical side labeled 10 meters goes down. A line connects the bottom of this side to the bottom of the right vertical side.

What is the area of the plot of grass?

Answers

Hey did you ever get the answer to this question because I need it

A gym membership fee is $24 .Members pay an additional $3 each time they go.Non-members don’t pay the fee , but pay $6 each time they go.How many times would you have to go for the cost to be the same?

Answers

Answer:

Step-by-step explanation:

Directions are on the sheet. Please help. 35 is correct btw.

Answers

the answer is 55.6.....

Answer:

Step-by-step explanation:

2x + y = 90.6

2x + 35 = 90.6

2x = 55.6

x = 27.8

Explain how a telescope with a few mirrors inside allows us to see things kilometers away

Answers

Answer:

Telescopes have several curved lenses inside that reflect on mirrors that gather light.

Step-by-step explanation:

You can find more information on NASA as well. They have very interesting explanations and photos there. :)

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