A population of beetles are growing according to a linear growth model. The initial population (week 0) is P0=9, and the population after 7 weeks is P7=37.

Find an explicit formula for the beetle population after n weeks.


After how many weeks will the beetle population reach 93?

Answers

Answer 1

Answer:

y = 4x + 9

week 21

Step-by-step explanation:

first I did 37-9 and got 28 I divide that by 7 ( seven weeks) and got 4 so I know the slope is 4.

so to find how many weeks till 93 I did; 93 = 4x + 9. We have to get x by its self so I minus 9 by both sides and got 84 = 4x. So now we divid both sides by 4 to get x by its self and we end up with 21 = x


Related Questions

Three tickets to a movie costs $37.50. If all tickets were the same price, what would be the cost of 2 tickets?

Answers

Answer:

$25 I believe

Step-by-step explanation:

You would take $37.50 divided by 3 and get $12.50 which is the price of 1 ticket

Then you would multiply $12.50 x 2 to get $25

Answer: $25.00

Step-by-step explanation: First you would divide $37.50 by 3 and get the price of one ticket which would be 12.50. Then you would multiply 12.50 by two and get $25.00.      

The graph shows the number of inches of snow over the course of time.
Which statement is not correct about the relationship shown in the graph?
A It is snowing at a steady rate.
B It is snowing at a rate of inch per hour.
C The amount of snow is proportional to the time.
D The coordinate (2, 1) indicates that it has snowed 2 inches in 1 hour

Answers

Correct OPTIONS:

A It is snowing at a steady rate.

B It is snowing at a rate of ½ inch per hour.

C The amount of snow is proportional to the time.

D The coordinate (2, 1) indicates that it has snowed 2 inches in 1 hour

Answer:

D The coordinate (2, 1) indicates that it has snowed 2 inches in 1 hour

Step-by-step explanation:

Using the graph given, let's analyse each options provided to see which statement is ✅CORRECT or ❌ INCORRECT.

A. "It is snowing at a steady rate."

✅This is CORRECT because a straight line graph has a constant rate of change.

B. "It is snowing at a rate of ½ inch per hour."

✅This is CORRECT, because when x (time in hrs) is 1, y (snow in inches) is ½.

C. "The amount of snow is proportional to the time."

✅This is CORRECT because the line of the graph intercepts the point of origin, (0, 0).

D. "The coordinate (2, 1) indicates that it has snowed 2 inches in 1 hour"

❌This is NOT CORRECT. The coordinate (2, 1) indicates that it has snowed 1 inch in 2 hours rather.

x = 2 => time(hours)

y = 1 => snow(inches)

5^2x=4 Plz Answer I can't figure it out!

Answers

Answer:

In decimal form 0.16

Step-by-step explanation:

0.16, is the asnwerrr

Simplify 32 divided by 7 eigths

Answers

36.57 or 37 is the correct answer:)

Answer:

256/7 = 36 4/7 =36.571

Step-by-step explanation:

FIRST TO HELP IS BRAINLIEST

Answers

Answer:

(0,2)

Step-by-step explanation:

I need help :) plss with this question

Answers

Answer:

it bb

Step-by-step explanation:

You got Among Us :0 YESSSSSSSSSS

Given the equation 3x + 4y = 10, select a second equation that would create a system with no solutions.

3x + 4y = -10

3x - 4y = 10

3x + 4y = 10

3.x - 4y = -10

Answers

Answer:

3x + 4y = -10

Step-by-step explanation:

Here, we want to select which of the options will give a system of two equations coupled with the first such that we have no solutions

Since we already have 3x + 4y = 10

The equation that will give a system leading to no solutions will be a system that equates the exact sum of 3x + 4y to another value

Mathematically, that will be;

3x + 4y = -10

if the bathtube holds 46.2 gallons How many mints will it take to fill the whole tub​

Answers

Answer:

takes 3 minutes

Step-by-step explanation:

se lanza una piedra a un estanque de agua tranquila el cual crea ondas concentricas que aumentan el radio al pasar el tiempo. cuando la onda exterior alcanza 3 metros de radio, aumenta a una rapidez de 5 cm/s¿a que rapidezaumenta dicha areadel circulo por dicha onda?

Answers

This is what she/he is saying:

A stone is thrown into a pool of calm water which creates concentric waves that increase the radius over time. When the external wave reaches a radius of 3 meters, it increases at a speed of 5 cm / s, at what speed does this area of ​​the circle increase by said wave?

8/9+ (-5/6) divided by 1/6

Answers

Answer:

fraction answer: 3/4

decimal answer: 0.75

What is the slope of the line represented by the equation 3x+4y=12?

Answers

Answer:

-3/4

Step-by-step explanation:

3x+4y=12

-3x -3x

4y=-3x+12

÷4 ÷4

y=-3/4x+12

Answer:

-3/4 or -0.75

Example:

If the coefficient of determination for a data set containing 9 points is 1, how
many of the data points must lie on the regression line for the data set?
O A. 9
OB. 8
O C. 6
O D. 7

Answers

Answer: A

Step-by-step explanation:

The coefficient of determination is a number between 0 and 1 used to measure the level of precision with which the regression model created fits the data. A measure of means that the model explains the entire variation between the two variables without error.

Therefore, in this case, if  means that the 9 points are on the line

Answer:

Therefore, in this case, it means that the 9 points are on the line

Step-by-step explanation:

$24.75 - 12.45
i need help and it is to hard

Answers

the answer would be $12.30

Jessica is walking home from a friend's house. After two minutes she is 0.6 miles from home. Twelve minutes after leaving, she is 0.1 miles from home. What is her rate in miles per hour

Answers

ohhhhh hold on i’ll get back to you i used to struggle with this

Convert 1.75 to scientific notation.
0 1.75 x 10°
0 175
0 0.175 x 101
O There is no scientific notation for this number.

Answers

Answer:

1.75x10^0

this is the only possible option for this problem.

A store offers different brands of a product. It decides to eliminate the brand
that is most likely to be returned. The table shows the number of items of
each brand that were returned over the past year and the total sold.
Returns
Total sold
Brand A
33
685
Brand B
15
492
Brand C
29
361
Brand D
31
766
Which brand should the store eliminate?
O A. Brand B
O B. Brand D
O C. Brand C
O D. Brand A

Answers

Answer: They should eliminate Brand C

Step-by-step explanation:

You need to divide the total returns by the total sold to which Brand has the greatest percentage returned.

The brand that the store should eliminate out of the 4 given brands using the data in the table is; Brand C

How to Solve Percentage Problems?

To find the brand that the store should eliminate we need to find the percentage of sold items that were returned and pick the highest percentage as the brand the store should eliminate.

Brand A percentage = [tex]\frac{33}{685}[/tex] × 100 = 4.81%

Brand B percentage = [tex]\frac{15}{492}[/tex] × 100= 3.04%

Brand C percentage = [tex]\frac{29}{361}[/tex] × 100 = 8.03 %

Brand D percentage = [tex]\frac{31}{766}[/tex] × 100 = 4.04%

Brand C has the highest percentage and as such it is the brand that should be eliminated.

Find out more information about Percentage here

https://brainly.com/question/843074

#SPJ2

Find x if f(x) = 2x + 7 and f(x) = -1.
a.5 b.-3 c.-4​

Answers

Answer:

Answer c. -4

Step-by-step explanation:

Equations

Given:

f(x) = 2x + 7

We need to find the value of x such that:

f(x) = -1

Equating:

2x + 7 = -1

Subtracting 7:

2x = -1 - 7

Operating:

2x = -8

Dividing by 2:

x = -8 / 2 = -4

x = -4

Answer c. -4

Evaluate the expression. (5²+17)÷7​

Answers

Answer:

6

Step-by-step explanation:

5x5=25

then add 17, 25+17=42

then divide by 7, 47÷7=6

The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 14 HCF of water is $33.79, and the cost for using 27 HCF is $55.24. What is the cost for using 18 HCF of water?

Answers

Answer:

The cost of using 18 HCF = $40.39

Step-by-step explanation:

A linear function is one that has a constant rate of change for all the values within the distribution. For a linear function, there is a constant, and that constant is known as the slope or gradient of the linear function.

Let us first calculate this constant (slope).

Let:

X₁ = 14 HCF, Y₁ = $33.79, X₂ = 27 HCF, Y₂ = $55.24, m = slope

[tex]m = \frac{Y_2-Y_1}{X_2 - X_1} \\m = \frac{55.24 - 33.79}{27-14} \\m = \frac{21.45}{13} \\m = 1.65[/tex]

at any two points on the linear function, the rate of change of the cost to HCF = 1.65

Now, Let X₃ = 18 HCF, Y₃ = cost for using 18 HCF

[tex]m = \frac{Y_3 - Y_1}{X_3-X_1} \\where\ m= 1.65\\1.65 = \frac{Y_3-33.79}{18-14}\\1.65 = \frac{Y_3 - 33.79}{4} \\6.6 = Y_3 - 33.79\\Y_3 =6.6+33.79\\Y_3 = 40.39[/tex]

Therefore, the cost of using 18 HCF = $40.39

N:B X₂ and Y₂ can also be used with X₃ and Y₃ to find Y₃. You can try it out, you should get the same result

Jacob bought 10 liters of milk at the supermarket. How many gallons of milk did he buy?

Answers

Answer:

2 ,but exact is 2.64172

Step-by-step explanation:

Answer:

2.64 gallons

Step-by-step explanation:

10/3.785= 2.64


the descriptive method:
{4, 8, 12, 16, 20)

Answers

Answer:

The set of the first five positive numbers multiples of 4.

Step-by-step explanation:

The center of a circle and a point on the circle are given. Write the equation of the circle in standard form.
center: (2,-5), point on the circle: (-4,-5)

Answers

Answer:

25= (x-2)² + (y+4)²

Hope this helps!!!

Answer:

[tex](x-2)^2+(y+5)^2=36[/tex]

Step-by-step explanation:

The standard form of a circle is given by the equation:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

We know that the center is (2, -5). So, we can substitute 2 for h and -5 for k. This yields:

[tex](x-(2))^2+(y-(-5))^2=r^2[/tex]

Simplify:

[tex](x-2)^2+(y+5)^2=r^2[/tex]

Now, we need to determine r. We know that a point on the circle is (-4, -5). Thus, we can determine r by substituting -4 for x and -5 for y. This yields:

[tex](-4-2)^2+(-5+5)^2=r^2[/tex]

Evaluate:

[tex](-6)^2+(0)^2=r^2[/tex]

Evaluate:

[tex]36=r^2[/tex]

Hence, the radius squared is 36.

We do not actually need to solve for r, as we will square it anyways.

We will substitute 36 for r squared. Hence, our equation is:

[tex](x-2)^2+(y+5)^2=36[/tex]

The radius will thus be 6 units.

The distance between New York and Philadelphia by railroad is 90 miles; the distance between them by river and ocean is 240 miles. What fraction of the second distance is the first one?

Answers

Answer:

3/8

Step-by-step explanation:

Well, just put the first one over the second one.

90/240

and simplify

=3/8

Answer:

3/8

Step-by-step explanation:

90/240 divided by 10 is 9/24

9/24 divided by 3 is 3/8

3/8 is the simplest form

hope this helps :3

if it did pls mark brainliest

Use this rule to fill in the table.
Rule: Add 7 to the input to get the output.

Answers

Positive 5. 12. 23. Nsnshshshahahshshsgdydysysysyysysgsgshsshhdhdhdhdhdhdhdudeuehd

A motorboat moves across a lake. It begins at 50km from shore after 9 minutes it is 14 km from shore. What’s it’s distance from shore in a function

Answers

Answer:

List all of the solutions.

50 k m =

9 m i n u t e s =

14 k m =

Step-by-step explanation:

Answer:

y = -4x + 50

Step-by-step explanation:

To write the function we'll use y = mx + b, where y is the distance the boat is away from shore, m is how many km/minute the boat moves at, x is how many minutes it's been, and b is how many km away from shore the boat was at the start. We already know the value of b is 50, so we can put that into the equation:

y = mx + 50

To find how many km the boat moves per minute, let's use the given amount of minutes and km (9, 14) and put them into the equation:

14 = m(9) + 50

Now let's solve for m:

14 = 9m + 50

Subtract 50 from both sides to isolate the 9m:

14 - 50 = 9m + 50 - 50

- 36 = 9m

divide both sides by 9 to isolate the m:

-36/9 = 9m/9

-4 = m

The boat moves at -4 km/minute, which is the same thing as saying that  after 1 minute passes, the boat gets 4km closer to the shore. Now we can input this value into the equation and we have our answer:

y = -4x + 50

Write a integer for each situation. Explain the meaning of zero in each situation.

1. 3 miles below sea level

2. Earning $45

Answers

"3 miles below sea level" may be written as -3. The negative indicates you are below sea level. Going above sea level means the value would be positive.

"earning 45 dollars" can be written as +45 or simply 45. If you lost 45 dollars, then it would be -45. If you are in debt 45 dollars, then it would be -45.

simplify (5i-2i) (2+6i)-(4-i) show all work​

Answers

↝ (3i)(2+6i)-(4-i)

↝ 6i+18i²-4+i

↝ 6i-18-4+i [ i² = -1]

Therefore, it's 7i-22

Point Q' is the image of Q(-7,-6) under the translation (x, y) + (x+12, y + 8).
What are the coordinates of Q'?

Answers

Answer:its b

Step-by-step explanation:i took the test

5x-6y=-4
-6x+6y=-6
solve using elimination
HELP.

Answers

Answer:

x=10 y=9

Step-by-step explanation:

Can someone please help, ty!!
(Will mark brainliest)

Answers

Answer:

100

Step-by-step explanatio

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