A nest of ants has been growing exponentially in such a way that it's population,P, as a function increasing on average more or less than 1600 ants per week? Enter the value per week to the nearest tenth.

Answers

Answer 1

Not sure question is complete, assumptions however

Answer and explanation:

Given the above, the function of the population of the ants can be modelled thus:

P(x)= 1600x

Where x is the number of weeks and assuming exponential growth 1600 is constant for each week

Assuming average number of ants in week 1,2,3 and 4 are given by 1545,1520,1620 and 1630 respectively, then we would round these numbers to the nearest tenth to get 1500, 1500, 1600 and 1600 respectively. In this case the function above wouldn't apply, as growth values vary for each week and would have to be added without using the function.

On one hand, the function above could be used as an estimate given that 1600 is the average growth of the ants per week hence a reasonable estimate of total ants in x weeks can be made using the function.


Related Questions

The executive chef is in charge of the food quality and does not need to worry about sanitation issues such as pest control.


False

True

Answers

Answer:

False

Step-by-step explanation:

False. You wouldn’t want a rat in your food.

how many pepper plants are in 3 plants

Answers

Answer:

tatlo

Step-by-step explanation:

dependi sa lalagyan

Find the value of the unknown angle X.
158°
51°
21°
The diagram is not drawn to scale.
O
2 =
O

Answers

Answer:

x = [tex]130^{o}[/tex]

Step-by-step explanation:

The given figure is a trapezium which is a quadrilateral with four sides.

But,

Sum of angles in a quadrilateral = (n - 2) x 180

where n is the number of sides.

For a quadrilateral, n = 4. So that,

Sum of angles in a quadrilateral = (4 - 2) x 180

                             = 2 x 180

                             = [tex]360^{o}[/tex]

The sum of angles in a quadrilateral is [tex]360^{o}[/tex].

Thus,

[tex]158^{o}[/tex] + [tex]51^{o}[/tex] + [tex]x^{o}[/tex] + [tex]21^{o}[/tex] = [tex]360^{o}[/tex]

[tex]x^{o}[/tex] + [tex]230^{o}[/tex] = [tex]360^{o}[/tex]

[tex]x^{o}[/tex] = [tex]360^{o}[/tex] - [tex]230^{o}[/tex]

   = [tex]130^{o}[/tex]

The value of x is [tex]130^{o}[/tex].

Question 19 of 25
What is the value of the expression below?
(12^1/6)^6
A. 8
B. 64
c. 12
D. 1

Answers

The answer is B. 64
Cause 12^1 just equals 12 and then you divide it by 6 to get 2 and then you end up with 2^6 which is 64

Answer: 12

Step-by-step explanation:


Apply exponent rules.

- (a^b)^c = a^b*c


Multiply exponents.

- 1/6 * 6 = 1


12^1

Apply exponent rule.

- a^1 = a


= 12

350cm³ to 1 litre as a ratio in its lowest terms​

Answers

We need to know about ratio to solve the problem. The ratio of 350[tex]cm^{3}[/tex] to 1 litre as a ratio in its lowest terms is 7:20.

Ratio is the measure of how many times one number contains another in it. We can find the ratio of one quantity to another by dividing one by the other by cancelling out the common factors between the two. We have to find the ratio of 350[tex]cm^{3}[/tex] to 1 litre in its lowest terms. The lowest terms for both the quantities is [tex]cm^{3}[/tex]. We know that 1 litre =1000[tex]cm^{3}[/tex], we will convert the 1 litre to 1000[tex]cm^{3}[/tex] for calculating the ratio.

The ratio of 350 [tex]cm^{3}[/tex] to 1 litre =350/1000=35/100=7/20= 7:20

Therefore we found the ratio of 350 [tex]cm^{3}[/tex] to 1 litre in its lowest terms to be 7:20 by using the concept of ratio.

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What is the slope of a line parallel to the line whose equation is 3x−2y=18. Fully reduce your answer.

Answers

Answer:

3/2x

Step-by-step explanation:

-2y = -3x+18

y = 3/2x-9

Answer:

Slope: [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

3x - 2y = 18

-2y = -3x + 18

y = [tex]\frac{3}{2}[/tex]x - 9

Slope = [tex]\frac{3}{2}[/tex]

A 220-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
The shorter piece is
inches long

Answers

Answer:

let x be the length of the shorter piece.

4x + x= 210

x= 42.

4x= 168

The shorter piece is 42in and the long piece is 168 in.

The length of the shorter piece will be;

⇒ x = 44 inch

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

A 220-inch pipe is cut into two pieces.

And, One piece is four times the length of the other.

Now,

Since,  One piece is four times the length of the other.

Let height of shorter piece = x

Then, The height of longer piece = 4x

Hence, We can formulate;

⇒ x + 4x = 220

Solve for x as;

⇒ 5x = 220

⇒ x = 220 / 5

⇒ x = 44

Thus, The length of the shorter piece will be;

⇒ x = 44 inch

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A cylinder has height 20cm.
The area of the circular cross section is 74cm.
Work out the volume of this cylinder

Answers

Answer:

volume= l*b*h

So, Volume=area*height

= 74*20

=1480cm³

please help me i’ll give brainliest or whatever its called

Answers

Answer:

2.6

Step-by-step explanation:

To solve this, we need to use the Pythagorean theorem to solve this.

The way to solve is by solving for AD by using triangle CAD and then using that result to solve for BD.

3.4² + b² = 6.5²

11.56 + b² = 42.25

42.25 - 11.56 = b²

b = √30.69

b = 5.53985559 or about 5.5

4.9² + b² = 5.5²

24.01 + b² = 30.69

30.69 - 24.01 = 6.68

b = √6.68

b = 2.58456959666 or about 2.6

EDIT: the other user is incorrect, here's why

3.4 + 4.5 = 7.9

6.5² + 4.9² = 7.9²

66.26 doesn't equal 62.41

1/3 + ( -2 1/4) Solve this equation and show your work!
answer has to be a number!

Answers

Answer:

-1.9

Step-by-step explanation:

i used a calculator and the answer was -1.91666666667 and i just cut it down to -1.9 was it right?? im not sure..So you dont have to use that answer!!

Answer:

-1.91666666667

Step-by-step explanation:

1/3 + ( -2 1/4)

1/3 -2 1/4 = -1.91666666667

1. The measure of the largest angle of a triangle is 12 degrees less than the sum of the measures of the other two. The smallest angle measures 58 degrees less than the largest. Find the measures of the angles.

help please:(

Answers

Answer:

13

Step-by-step explanation:

Answer:

to much typing

Step-by-step explanation:

holaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

HIIIIIIIIIIII

Step-by-step explanation:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

What is the sign of -5 × (-1/-2)

Answers

-5 times (- 1/-2)

-5 times -1/-2

-5 times 1/2

-5 times -1/-2

-5/2

And in Alternative form: -2 1/2, -2.5

Please help me with geometry ASAP!!!

Answers

Answer:

asking all these questions why you asking all these questions

Step-by-step explanation:

Roberto buys a car. Because he buys the car from his cousin, he does not have to pay interest. He makes a down payment of $3,000 and pays the rest with monthly payments. The equation that represents the amount owed on the car can be represented by the equation y=−150x+2,500, where x is the number of months that Roberto pays off the loan, and y is the amount he still owes. What does 2,500 represent in this equation? A) The original cost of the car. B) The amount Roberto pays per month. C) The down payment that Roberto makes. D) The amount Roberto has to pay after the $3,000 down payment.

Answers

...........The answer is b

D) After the $3,000 down payment, Roberto must pay the following sum.

What is the real-life use of linear equations?

People utilize linear equations on a regular basis even without utilizing a line graph since the scenarios they confront may involve an unknown number that may be described as a linear equation, such as calculating mileage rates, income over time, and so on. The four basic arithmetic operations are important here: addition, subtraction, multiplication, and division. In this post, we will study more about the applications of linear equations and solve several real-world cases.

Given, Roberto purchases an automobile. He does not have to pay interest because he purchases the automobile from his cousin. He puts down $3,000 and pays the remainder in monthly installments. also given an equation that represents the relation between the number of months Roberto pays and the amount he still owes.

y = -150x + 2500

If we calculate for "0" months then Roberto owes his cousin 2500. and after 1 month of payment, he has to pay 2350$.

Therefore, the meaning of 2500 in this equation is the amount Robert has to pay to his cousin after the down payment.

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PLEASE ANSWER CORRECTLY!!! I REALLY NEED AN ANSWER! WILL MARK BRAINLIEST!!!!



Misha solves the following system of equations using the substitution method.

y=5−2x
3x−y=15

What is the single-variable equation she solves after substituting?


A. 3(5+x)=5−2x

B. 15+3x=5−2x

C. 3x−(5−2x)=15

D. 3x−5−2x=15

Answers

Answer:

C

Step-by-step explanation:

The single equation of the system of equation y=5−2x and 3x−y=15 by substitution will be  3x−(5−2x)=15 thus option (C) will be correct.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given system of equations,

y = 5 − 2x

3x − y = 15

Substitute y = 5 - 2x into 3x − y = 15

3x - (5 - 2x) = 15

Hence "The single equation of the system of equation y=5−2x and 3x−y=15 by substitution will be  3x−(5−2x)=15".

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Transform the equation if necessary, and then solve it to find the value of x that makes the equation true.

11(x+10)=132

Answers

Answer:

11(x+10)=132 x = 2

Step-by-step explanation:

Step 1: Distribute the 11 to the "x" and the "10".

          (Equation now becomes 11x + 110 =132)

Step 2: Subtract the "110" over to the "132"

          (Equation now becomes 11x=22)

Step 3: Divide the "11" and the "22" --> 11x=22

                                                                11    11

Answer : x = 2

The answer is x=2 !!!

Please help me out with this problem

Answers

Answer:

Second choice, 2/5

Step-by-step explanation:

12 + 9 + 10 + 11 + 8 = 50

12 red and 8 blue, the probability of getting either is 12 + 8 = 20/50 which simplified is 2/5

solve the equation f/4 + 5 =17

Answers

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

48/4 = 12,   12+5=17

Uh I need help with this I cant figure it out​

Answers

Sum of it is blurred out by the light srry


1. The graph below displays the height of an airplane. Describe the change
in the airplane's height over time. (Example 1)
Height
Time

Answers

Answer:

there no picture?? what you mean

a
3000
b
300
c
30
d
3 x 103

Answers

Answer:

What is the question. I can't help if there is no question

Urgent !!!! write the equation in form y= mx + b ( slope intersect !)

Answers

It said the answer needed to be at least 20 characters long y=50x+25

if I have a bottling machine that fills 15 bottles of water every 6 seconds, what is my unit rate and what would be my slope on a graph?​

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the unit rate is termed as the slope of the line.

We also know that the slope is normally represented by a fraction which may be expressed as a unit rate found at the point on the graph.

We are given that a bottling machine fills 15 bottles of water every 6 seconds.

We want a unit rate where  1 is in the denominator.

Thus,

unit rate = 15 bottles / 6 seconds

              = 2.5 bottles / 1 second

              = 2.5 bottles per second

Thus,

The unit rate = 2.5 bottles per second

We know that the unit rate represents the slope of the line which is normally represented by a fraction or ratio.

Therefore,

Slope = 15 / 6

          = 2.5

I'll give 30 for the right answer


the new Toyota can go 15 3/4 miles on 3/4 of a gallon of gas. a.) What is the gas mileage in miles per gallon? b.) How far could the car go on 15 gallons?​

Answers

Answer:

Part A. The Toyota uses 21 miles per gallon.

Part B. The Toyota can go 315 miles using 15 Gallons.

Step-by-step explanation:

P.S Can I have brainliest?

The new Toyota can travel 315 miles with 15 gallons of gas.

Given that, the new Toyota can go 15 3/4 miles on 3/4 of a gallon of gas.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

A) Here, 15 3/4 miles can be written as 63/4

Now, the mileage = 63/4 ÷ 3/4

= 63/4 × 4/3

= 21 miles per gallon

B) Number of miles travelled with 15 gallons

= 21 × 15

= 315 miles

Hence, the new Toyota can travel 315 miles with 15 gallons of gas.

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4x^3(5x) = what,
will mark brainliest

Answers

The answer to that is 20x^4

Answer:

25

Step-by-step explanation:

What is the solution to the system
y=-3x+2
y = x - 3
using the table
x 110x):= V 20 Y
-3/4"x+2 0.5*x-3
1.25
-2
0.5
12
3
4
-0.25
-1
175
0:51

Answers

Answer:

I think it’s a

Step-by-step explanation:

On edge

Let gbe a function such that g(x) = -2r + 5 and is defined on the domain (-1,3) State the range of this function in interval notation.​

Answers

Answer:

The range interval is: (7, -1)

Step-by-step explanation:

Given the function

g(x) = -2r+5

As the domain is (-1, 3)

Let us put the domain values in the interval (-1, 3)

Putting x = -1

g(x)=-2r+5

      = -2(-1)+5

      = 2+5

      = 7

Putting x = 0

g(x)=-2r+5

      = -2(0)+5

      =0+5

      = 5

Putting x = 1

g(x)=-2r+5

      = -2(1)+5

      =-2+5

      = 3

Putting x = 2

g(x)=-2r+5

      = -2(2)+5

      =-4+5

      = 1

Putting x = 3

g(x)=-2r+5

      = -2(3)+5

      =-6+5

      = -1

Thus the range interval is: (7, -1)

On a coordinate plane, point D is 1 unit up. Point C is 2 units to the right and 10 units up. Point F is 8 units to the right and 6 units up. Point G is 9 units to the right and 2 units up. Point E is 12 units to the right and 12 units up.

Look at the plotted points. Which statements are true? Select all that apply.

Point C is located at (1, 5).

Point D is located at (0, 1).

Point E is located at (12, 6).

Point F is located at (8, 6).

Point G is located at (9, 2).

Answers

Answer:

point D is 1 unit up; true

Point C is 2 units to the right and 10 units up; false

Point F is 8 units to the right and 6 units up; true

Point G is 9 units to the right and 2 units up; true

Point E is 12 units to the right and 12 units up; false

Step-by-step explanation:

Answer:

The other person is wrong,

Step-by-step explanation:

b, d and e are the correct answers

A set that contains no elements or the number of elements in the set is a natural number is called.

Answers

Answer: It's called a finite. The opposite of a finite is a infinite set.

Step-by-step explanation:

kind of simple I don't know

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