An insect population is growing at a rate of 2t/8 insects per day. Find the size of the insect population after 24 days assuming that there are 100 insects at time t=0.

Answers

Answer 1

Answer:

244

Step-by-step explanation:

Number of insects at time [tex]t[/tex] = 0 are 100.

Rate of growth of insects = [tex]\frac{2t}8[/tex] insects per day

Time, Number of days = 24 days

To find:

Number of insects or size of insect population after 24 days.

Solution:

Given that rate of growth of insects = [tex]\frac{2t}8[/tex] insects per day

We are given that, [tex]t[/tex] = 24 days

Rate of growth =

[tex]\dfrac{2\times 24}{8} = 2\times 3 = 6[/tex]

Growth in Insect population after 24 days = [tex]24\times 6 = 144[/tex]

Initial population = 100

Therefore, the answer is:

The size of insect population after 24 days = 100 + 144 = 244


Related Questions

Carly can paint 6/7 of a picture in 3/14 of an hour how many pictures can they paint in a full hour

Answers

28/7 which is equivalent to 4 painting in a full hour, this is because Carly can paint 2/7 in 1/14 of an hour multiply the 2 times 14 and get 28/7 or 4 which is you’re answer

Answer:

4 paintings in a full hour

Work:

Carly painted 6/7 of a picture in 3/14 hours:

6/7=3/14

Which means Carly painted 2/7 of a picture in 1/14 hours:

2/7=1/14

We need to find how many paintings she can paint in 1 full hour, or 14/14 of an hour, how do you get from 1/14 to 14/14? You do multiplication:

1/14 x 14 = 14/14

but there is a rule that says what you do to one side of the equation, you need to do it to the other side too so:

2/7 x 14=1/14 x 14

28/7=14/14

28/7=4  

how could we graphically visualize the relationshio between the age of a used car and the selling price if a used car

Answers

The best type of graph to use is a Scatter diagram.

how can patterns help me divide multiples of 10?

Answers

The most common way it helps is because: when you lay them out you know/ see what you are dividing,

2.Larry's car travels 230 miles on 10 gallons of fuel. What is the ratio of miles to
gallons for Larry's car?
A 10 Miles to 1 Gallon
B 10 Gallons to 1 Mile
<
23 Miles to 1 Gallon
D 23 Gallons to 1 Mile

Answers

Answer:

D

Step-by-step explanation:

If he travels 230 miles on 10gallons of fuel, then he will travel 23 miles on 1 gallon of fuel. So it is 230 gallons to one mile.

The plumber added an extra $35 to her bill

Answers

Answer:

you just add 35 to her bill

An airplane flew 2400 miles in 4 hours if the plane for the same number of miles each hour how many miles it fly in 1 hour

Answers

Answer:

600?

Step-by-step explanation:

you do 2400÷4 which would be 600 for each hour

I gotchu all. Download the file and read what's inside I hope it makes you feel better if you're having a bad day :>

Answers

have a good day !!!!

what is 8 divided by 3/5

Answers

Answer:

13 1/3. have a great day!! :D

Step-by-step explanation:

To solve the equation, you first need to multiply 8 by 3/5's reciprocal, which is 5/3. Reciprocal basically means to flip the fraction. By multiplying 8 by 5/3 you'll get 40/3, which you can simplify to 13 1/3.

4

Which function family does f(x)=5(x-2)2 + 3 belong to?

Answers

Answer:

Quadratic

Step-by-step explanation:

The type of quadratic function in the question is in vertex form.

Quadratic is the right answer

-4/5 divided by -2

Pls help

Answers

Answer:

-2/5 or -0.40

Step-by-step explanation:

Answer:0.4

Step-by-step explanation:

44. Time to Complete a Task Two machines can complete a task in t hours, where t must satisfy the
equation t/8+t/12 = 1. How long will it take for the two machines to complete the task?



Answers

Answer:5 h 48 min

Step-by-step explanation:

t/8+t/12=1

=> 3t+2t =24

5t=24

t=24/5

t=5 and 4/5 h

That equal to 5 h and 8/10 h or 5h and 8*6 min

So the answer is 5 h 48 min

PLEASE HELP ME
15 POINTS

Gabriela is weighing quarters on a scale. She weighs various numbers of quarters, n, and
records their total weight, w, in grams. Find the ratio of the weight of the quarters to the
number of quarters for all three columns of the table. Express your answer using decimals.

Number of quarters, n 4,10,24

Tirol weight, w 22,55,132

Answers

The ratio of the weight of the quarters to the number of quarters will be 11: 2

What is the ratio of two quantities?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b Remember that the ratio should always be taken of quantities with the same unit of measurement. Also, the ratio is a unitless(no units) quantity.

We have been given that Gabriela is weighing quarters on a scale. They weigh various numbers of quarters, n, and record their total weight, w, in grams.

Number of quarters, n; 4,10,24

Tirol weight, w;  22,55,132

The ratio of the weight of the quarters to the number of quarters will be;

w: n

22 : 4 = 11 : 2

Also, 55: 10

11: 2

Again,

132: 4

11: 2

Hence, The ratio of the weight of the quarters to the number of quarters will be 11: 2

Learn more about ratios here:

brainly.com/question/186659

#SPJ1

Given q(x)=3x and r(x)=x2.

What is (r∘q)(2)?
a. 36
b. 10
c. 12
d. 24

Answers

Answer:

36

Step-by-step explanation:

(r∘q)(2)=

= ((3x)^2(2)

=(3*2)^2

=6^2

=36

Solve -2(5x – 3) = 41.

Answers

Answer:

Divide both sides by the numeric factor on the left side, then solve.

Exact Form:

x=−7/2

Decimal Form:

x=−3.5

Mixed Number Form:

x=−3 1/2

Step-by-step explanation:

Answer:

- 3.5

Step-by-step explanation:

hope this helps :)

3. Use the given information about the polynomial graph to write out the equation.
Degree 5, Roots of multiplicity 2 at x = 3 and x = -2 and a root of multiplicity 1 at x = 4,
y-intercept at (0,12).

Answers

Answer:

[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]

Step-by-step explanation:

The standard form for a polynomial equation in its factored form is:

[tex]f(x)=a(x-p)(x-q)...[/tex]

Where p and q are the zeros and a is the leading coefficient.

We know that the degree of the polynomial is 5.

We are also given roots at x=3 and x=-2. Hence, our factors are (x-3) and (x+2).

These have a multiplicity of two, so we will square them.

We also know that there is a root at x=4. Hence, the factor is (x-4). This has a multiplicity of 1.

Therefore, our polynomial is now:

[tex]f(x)=a(x-3)^2(x+2)^2(x-4)[/tex]

We know that the y-intercept is 12. Therefore, if we substitute in 0 for x, we should get 12 for y. Here, we are solving for our a. Therefore:

[tex]12=a(0-3)^2(0+2)^2(0-4)[/tex]

Evaluate:

[tex]12=a(9)(4)(-4)[/tex]

Evaluate:

[tex]-144a=12[/tex]

Divide both sides by -144:

[tex]a=-1/12[/tex]

Hence, our entire polynomial is:

[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]

(x-5)²+2y³(x-5)+y[tex]{6}[/tex]

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]( {x - 5})^{2} + 2 \times ( x - 5 ) \times ( {y}^{3} ) + ({ {y}^{3} })^{2} = \\ [/tex]

[tex]( \: {(x - 5) + {y}^{3} } \: )^{2} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Anna is x years old, her sister Jane is y years younger. What will the sum of there ages be in 3 years. SORRY IM DUMB

Answers

You are not dumb. No one is dumb. Einstein failed math in high school.

Anna is x years old.

Jane is y years younger.

This means the Jane is x - y years old.

In three years, Anna will be x + 3 years old.

In three years, Jane will be (x - y) + 3 years old.

Let S = the sum of their ages in 3 years.

S = x + 3 + (x - y) + 3

S = 2x + 6 - y

Got it?

How do the final lines of “A Blessing” emphasize the author’s peaceful tone?

1 The final two lines, in which the speaker states, “I would break into blossom,” indicate that flowers blossom in the spring.
2 The final two lines, in which the speaker states, “I would break into blossom,” indicate the feeling of beauty and growth from contact with the horses.
3 The final two lines, in which the speaker states, “That if I stepped out of my body,” indicate the feeling of excitement when watching horses run.
4 The final two lines, in which the speaker states, “That if I stepped out of my body,” indicate the feeling of death and dying.

Answers

Answer:

4

Step-by-step explanation:

A gas tank holds 16 1/2 gallons of fuel. If you used 7 1/4 gallons of fuel yesterday and 3 1/2 gallons of fuel today, how many gallons of fuel are left in the tank?

Answers

Answer:

5 3/4 gallons of fuel left in the tank

Step-by-step explanation

16 1/2 - 7 1/4 = 9 3/4

9 3/4 - 3 1/2 = 5 3/4

Help please!!!!!!!!!!​

Answers

Answer:

A)Two times the quantity of seven less than a number equals thirty-three

Find the value of the variable

Answers

The answer would be D

[tex] \LARGE{ \underline{\underline{ \tt{Required \: answer:}}}}[/tex]

The above quadrilateral is a square because of the marking shown for the equilaterality of sides.

We have,

Side of the square = 13

We need to find:

Variable x and y?

Solution:

x is the side of the square and y is the diagonal. Hence,

[tex] \large{ \boxed{ \sf{x = 13}}}[/tex]

And for finding the diagonal which can use the Pythagoras theoram where the leg sides (p and b) are the sides of the triangle. Hence,

➝ y = √13² + 13²

➝ y = √338.

[tex] \large{ \boxed{ \sf{y = 13 \sqrt{2} }}}[/tex]

The correct option is Option (D)

☃️[tex] \large{ \purple{ \bf{FadedElla}}}[/tex]

Help please! Due today
Solve: |x|-7<15

Answers

Answer:

No Solution

Step-by-step explanation:

Answer:

pretty sure its

0.466666

Step-by-step explanation:

Which of the following pairs of functions are inverses of each other?

Answers

Answer:

The answer is (B).

Step-by-step explanation:

A). y = f(x) = 6(x - 2) + 3 ⇔ y = 6x - 12 + 3 ⇔ 6x = y + 9 ⇔ x = [tex]\frac{y+9}{6}[/tex]

g(x) = [tex]\frac{x+9}{6}[/tex] is inverse function of f(x) and ≠ [tex]\frac{x+2}{6}[/tex] - 3

B). y = f(x) = [tex]\frac{5x}{4}[/tex] - 3 ⇔ 4y = 5x - 12 ⇔ x = [tex]\frac{4y+12}{5}[/tex]  

g(x) = [tex]\frac{4(x + 3)}{5}[/tex] is inverse of f(x)

Is h = 11 a solution to the inequality below? 22 over h > 11

Answers

Answer:

no because if you insert 11 as h you get the inequality 2>11 wich isnt true

Step-by-step explanation:

Please Help Asap thank you soo much god bless you

Answers

1) x ≤ 30

2) 5x + 2x ≥ 14

3) xy ≤ 4

4) y - 5 < 20

Step-by-step explanation:

please mark me as brainlest

4(3x + 2) = 4(2x + 3) + 4x

Answers

Answer:

x = -4

Step-by-step explanation:

4(3x + 2) = 4(2x + 3) + 4x (distribute the 4's on both sides)

12x + 8 = 8x + 12 + 4x (collect like terms)

12x + 8 = 13x + 12 (subtract 12x on both sides)

8 = x + 12 (subtract 12 on both sides)

-4 = x

Hope this helps ya!

PLZ HELP!!!! Explain 72. Determine the value of r so that a line through the points with the coordinates (r, 4) and (-2,3) has
slope 1/4
a. 4.5
b. 6
c. -2
d. 2

Answers

9514 1404 393

Answer:

  d.  2

Step-by-step explanation:

The point-slope form of the equation for the line can make use of the given slope and point:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -3 = 1/4(x +2) . . . . line with slope 1/4 through point (-2, 3)

Filling in the unknown point values, we have ...

  4 -3 = 1/4(r +2)

  4 = r + 2

  2 = r

_____

Alternate solution

The way the question is worded, you seem to be expected to use the slope formula.

  m = (y2 -y1)/(x2 -x1)

For the given points and slope, you have ...

  1/4 = (3 -4)/(-2 -r)

  -2 -r = 4(-1) . . . cross multiply

  2 = r . . . . . . . . add r+4 to both sides

When Brandon went bowling, it cost $4.95 per game, plus a one-time fee to rent the shoes. Brandon played 5
games and paid $32. Write and solve a linear equation to find the cost to rent the shoes.

Answers

7.25 the shoes I think

Find the value of the expression when b= 9 c= 5 and d=10 ............ ½d + c² - b

Answers

Answer:

1/2d+c^2-b = 21

Step-by-st ep explanation:

= 1/2(10) + 5^2 -9

= 5 + 25 - 9

= 30 - 9

= 21

10. How many linear feet of cove molding are needed to trim the ceiling of a

12-foot by 16-foot family room?

Answers

Answer:

24 look it up on Google and your welcome I hope I'm right good day

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