The population of a certain species of insect is given by a differentiable function P , where P(t) is the number of insects in the population, in millions, at time t , where t is measured in days. When the environmental conditions are right, the population increases with respect to time at a rate that is directly proportional to the population. Starting August 15, the conditions were favorable and the population began increasing. On August 20, five days later, there were an estimated 10 million insects and the population was increasing at a rate of 2 million insects per day. Which of the following is a differential equation that models this situation?

a. P=2(tâ5)+10
b. dP/dt=2/5t
c. dP/dt=1/5P
d. dP/dt=5P

Answer:

Step-by-step explanation:

Parallel lines have same slope.

y= mx + b

Slope = m  & b = y-intercept

y = 3/4 x - 1

m = 3/4 ;   (-4 , -1)

y - y1 = m(x - x1)

[tex]y - [-1]=\frac{3}{4}(x -[-4])\\\\y + 1 = \frac{3}{4}(x+4)\\\\y +1 = \frac{3}{4}*x + 4*\frac{3}{4}\\\\y + 1 = \frac{3}{4}x+3\\\\y =\frac{3}{4}x+3-1\\\\y =\frac{3}{4}x+2[/tex]

Answer:

61

Step-by-step explanation:

90 divided by 36 is 2.5 add 10 to the 90 then multiply 10 by 2.5 you get 25 then add 25 to 36 witch gives u 61.  90/36=2.5x10=25+36=61

/ is for division. Hope it helps.

Answer:

65 is the answer okkkkkk

Best of luck

Answer:

The above calculator compounds interest monthly after each deposit is made. Deposits are applied at the beginning of each month. If you want to make deposits at the end of each month, then please subtract the first deposit from the initial savings amount.

Step-by-step explanation:

Answer:

2.34 cm

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle at the centre (θ) = 34°

Radius (r) = 4 cm

Length of chord (C) =?

The length of the chord can be obtained as follow:

C = 2rSine(θ/2)

C = 2 × 4 × Sine(34/2)

C = 8 × Sine 17

C = 8 × 0.2924

C = 2.34 cm

Therefore, the lenght of the chord is 2.34 cm.

Your answer is:

V(n) = 30(0.95)^n

Why?

Well here is why!

Rate of decrease = 5%

Period, n = 10 days

Initial stock price = $30

Value of share price as a function of n:

Value, V(n)

Initial price = A

V(n) = Initial price(1 - rate)^n

V(n) = 30(1 - 0.05)^n

V(n) = 30(0.95)^n

Hope this helps if it did mark brainlist!

Answer:

n,.bnmvm

Step-by-step explanation

mnmnmm,

Answer:

The nth term is given by: [tex]a_n = -9 + 3(n-1)[/tex]

The 30th term is 78.

Step-by-step explanation:

Arithmetic sequence:

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference between terms.

-9, -6, - 3,0

This means that [tex]a_1 = -9, r = -6 - (-9) = -6 + 9 = 3[/tex]. So

[tex]a_n = -9 + 3(n-1)[/tex]

30th term:

[tex]a_30 = -9 + 3(30-1) = -9 + 87 = 78[/tex]

The 30th term is 78.

Step-by-step explanation:

The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, for example, that 2(3 + 4) = 2×3 + 2×4.

Answer:

440 + 220 = 660

670 + 220 = 890

189 + 756 = 945

Step-by-step explanation:

Answer:

45 hihihihihihihihihihihihih

Step-by-step explanation:

Answer:

Your answer doesnt say how much the beetle wighs, probably the grasshopper though

Step-by-step explanation:

Answer:

I got 16.82692308 if that helps

Answer:

29

Step-by-step explanation:

PEMDAS

PARENTHESIS: [3-10]=7

EXPONENTS: 3^3= 27

MULTIPLICATION:8×7=56

DIVISION:NONE

ADDITION:NONE

SUBTRACTING: 56-27=29

ANSWER: 29

Answer:

2/3 * 1/3 = 2/9

Step-by-step explanation:

You see the top 2 lines being shaded which is 2/3's of the whole square.

The second shaded part only covers 1/3 of the whole square.

Thus, you multiply both parts to figure out the darkest shaded part!

Answer:

they have to give money back

Step-by-step explanation:

i said so

Answer:

x = 28

Step-by-step explanation:

(x + 18)° + (5x - 6)° = 180° (supplementary angles)

Solve for x

x + 18 + 5x - 6 = 180

Add like terms

6x + 12 = 180

6x = 180 - 12 (subtraction property of equality)

6x = 168

x = 168/6 (division property of equality)

x = 28

Answer:

bet power of 7

Step-by-step explanation:

I'm help you 2 cubed plus b times 4

[tex]y\cdot \:2\frac{1}{2} =[/tex] [tex]2\frac{1}{2}=\frac{2\cdot 2+1}{2}=\frac{5}{2}[/tex] [tex]=\frac{5y}{2}[/tex]

a) [tex]2y+\frac{1}{2}=\frac{4y+1}{2}[/tex]

b) [tex]2y+\frac{1}{2}y=\frac{5y}{2}[/tex]

Answer:

we cant see the numbers in the picture

Answer:

£217.80

Step-by-step explanation:

198 increase 10% =

198 × (1 + 10%) = 198 × (1 + 0.1) = 217.8

Answer: Believe you can and you're halfway there

Step-by-step explanation: Have a great day

Answer:

The third answer is correct, AED=CEB

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

first, substitute the value for x into the expression. since x = 6, you will be plugging in 6 for x.

4x + 2 ⇒ 4(6) + 2

simplify the expression, starting with 4 · 6.

4(6) + 2 ⇒ 24 + 2

then add 24 + 2.

24 + 2 ⇒ 26

aaaand your answer is 26! hope this helps. have a lovely day! <3

Step-by-step explanation:

you have to have some number for someone to solve it

Answer:

55+3/8 -1/2=55-3×2/8=55-3/4=54.25

Answer:

R = 0.8815 ;

y = 6.14679X + 2.33028 ;

14.624

Step-by-step explanation:

Using an online correlation Coefficient calculator, the correlation Coefficient, R between the number of lawn fertilizer sold and the number of lawn mowers sold is 0.8815. This R value depicts a strong positive correlation between both variables.

The regression line equation obtained by Plotting the values to generate a linear model is :

y = 6.147X + 2.330

With ;

Slope or gradient being 6.147

Intercept = 2.330

C.)

x = 2

y = 6.147X + 2.330

y = 6.147(2) + 2.330

y = 14.624