pls pls pls pls help, i will mark brainliest

Answer:

[tex]\frac{dP}{dt} \ =\ \frac{1}{5}P[/tex]

Step-by-step explanation:

Given

Variation: Directly Proportional

Insects = 10 million when Rate = 2 million

i.e. [tex]P = 10\ million[/tex] when [tex]\frac{dP}{dt} = 2\ million[/tex]

Required

Determine the differential equation for the scenario

The variation can be represented as:

[tex]\frac{dP}{dt} \ \alpha\ P[/tex]

Which means that the rate at which the insects increase with time is directly proportional to the number of insects

Convert to equation

[tex]\frac{dP}{dt} \ =\ k * P[/tex]

[tex]\frac{dP}{dt} \ =\ kP[/tex]

Substitute values for [tex]\frac{dP}{dt}[/tex] and P

[tex]2\ million = k * 10\ million[/tex]

Make k the subject

[tex]k = \frac{2\ million}{10\ million}[/tex]

[tex]k = \frac{2}{10}[/tex]

[tex]k = \frac{1}{5}[/tex]

Substitute [tex]\frac{1}{5}[/tex] for k in [tex]\frac{dP}{dt} \ =\ k * P[/tex]

[tex]\frac{dP}{dt} \ =\ \frac{1}{5}* P[/tex]

[tex]\frac{dP}{dt} \ =\ \frac{1}{5}P[/tex]

Answer:

C

Step-by-step explanation:

Line A is Parallel to Line B

Line C intersects Line A and B

Answer:

line C

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

50 events and C shows 8

50/8 = 16%

Answer:

The Answer is 0.16 = 16%

Answer:

Population - All 5.16 billion mobile phone users

Sample - subset of 1000 chosen from 5.16 billion

Variable - white and black mobile preference

Parameter - statistical characteristics of the population

Statistic - statistical characteristic of the sample ; 23.6% white preference ; 34.6 black preference

Data - facts and figures gathered for the study

Step-by-step explanation:

The population is the total observations who fit into a certain area of interest.

Sample refers to subset of the population which is meant to be representative of the larger population.

Variable refer to groups of characteristics with relates to observations within a dataset.

Parameter - statistical characteristics of the population

Statistic - statistical characteristic of the sample

Data - facts and figures gathered for the study

Answer:

a)18.8

Step-by-step explanation:

Basically, you have to add all the numbers from the data set (188) then divide them by 10 and that equals 18.8

The second part you have to add 32 to 188 ( which equals 210) and that by 11 which equals 20

Answer:

68

Step-by-step explanation:

There are total of 5*5 = 25 rectangles on the wall. 17 of these are painted.

17 / 25 = 17*4 / 100

17 * 4 =  68

Answer 68%

Step-by-step explanation:

Answer:

36 questions was answered correctly

Step-by-step explanation:

80 x .45 = 36

Hope this helps

Have a great day :D

Answer:

L=18.1, W=11.0

Step-by-step explanation:

Answer:16

Step-by-step explanation:

Answer:

eight and zero...

Step-by-step explanation:

hope I help

Answer:

B. 128

Step-by-step explanation:

so the sum of the interior angle is 180

180 - 76 is 104

since both sides are the same divide 104 with 2 to get 52

to find x = 180 - 52 = 128

Answer: They are proportional.

Explanation: To determine whether a table is proportional just simply notice if there is a number you can get to the next number.

Example: on the x values you multiply from left to right by 2 and get the next number. on the y values you multiply by 1. This table is proportional

Answer:

The value of A ,when r=5 then A = 14

Step-by-step explanation:

Answer:

c. t ≤ –3

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

181-7=174

174/2=87

Answer:-5

Step-by-step explanation:

m is considered the slope

y=mx-15

And in this situation m=-5

So slope = -5

Answer:

6, 19, 23?  girl im in 7th and i didnt learn this yet

Step-by-step explanation:

Answer:

what?

Step-by-step explanation:

Answer:

It would be 36

Explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

108/1 ×1/3

Applying the fractions formula for multiplication,

=108×1/1×3 = 108/3

Simplifying 108/3, the answer is

=36

hope it helped. :)

Answer:

3.5 inches

Step-by-step explanation:

Height of tallest baby giraffe = 42.75 inches

Height of shortest baby giraffe = 39.25 inches

Difference in height between the tallest and the shortest baby giraffes = 42.75 - 39.25 = 3.5 inches

Hey there!

5(2x + 6)

= 5(2x) + 5(6)

= 10x + 30

Answer: 10x + 30 ☑️

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

10x + 30

Step-by-step explanation:

When there is a number before parenthesis it means we have to multiply, so we will apply the distribution property.

5(2x) + 5(6)

Then we just multiply

10x + 30

Because we do not know the value of "x" we will leave it like this.

Hope it was helpful ;)

Answer:

the roots of this quadratic expression are: x = -1 and x = 4

Step-by-step explanation:

You need to find at which x-values the graph crosses the x-axis (this is when y = 0, and therefore the roots of the quadratic equation represented via the graph).

In our case notice that the graph crosses the x-axis at the points:

x = -1 (on the left), and x = 4  (on the right)

Therefore the roots of this quadratic expression are: x = -1 and x = 4.

Answer:

First of all, observe that this is a line, since you can rewrite the equation as y−x+1=0 , which follows the pattern of the generic line ax+by+c=0 .

To draw a line you need two of its points, which you can connect.

To find two points, you can plug any value for one variable, and solve for the other.

For example, let's choose

x=0 . The equation becomes

0−1=y , and so y=−1 .

The first point is thus (0,−1).

Then, let's choose

x=1 . The equation becomes 1−1=y , and so y=0 . The first point is thus

(1,0).

Now you only need to draw the points

(0,−1)

Step-by-step explanation:

Hope it is helpful...