An ant population began with 30 ants. From this point, the population
continuously increased by 4% each hour. Based on this model, how many
hours will it take the population to reach 100 ants?

Answers

Answer 1

Answer:about 5.3

Step-by-step explanation:


Related Questions

9)
5.6 yd
5 yd
12 yd
Find the area. (A = 1/2 ( 61 + b2) h)

Answers

Answer:

Area, A = 63.6 square yards

Step-by-step explanation:

A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.

Let the height of a trapezoid be h.

Let the top base of a trapezoid be b1.

Let the bottom base of a trapezoid be b2.

[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]

Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]

Given the following data;

Length, b1 = 5 yards

Width, b2 = 5.6 yards

Height, h = 12 yard

To find the area of geometrical shape (trapezoid), we would use the above formula;

A = 1/2 (b1 + b2) * h

Substituting into the formula, we have;

A = ½ * (5 + 5.6) * 12

A = ½ * (10.6)*12

A = 5.3 * 12

Area, A = 63.6 square yards

In simplest form, what fraction of the figure is shaded?
2/3
3/4
5/6
7/8

2. Which fraction is equivalent to 3/9? *
1/4
1/3
2/5
1/2

Answers

5/6, 1/3 hope this helps :))

8,782 divided by 2 can you please explain me the process so i can do it

Answers

Answer:

4,391

Step-by-step explanation:

next time use a caculator luv <3

Answer:

4,391

Step-by-step explanation:

You can start of by multiply 100's by 2 and keep going until you get close to 8,782 then start going down some numbers till you get 8,782.

Help please!!!! I’ll appreciate it so much!

Answers

Question 1) x + 6 = 20
x + 6 - 6 = 20 - 6
x = 14

Question 2) x - 2 = 5
x - 2 + 2 = 5 + 2
x = 7

Question 3) 15 + m = 9
15 - 15 + m = 9 - 15
m = -6

solve the inequality and specify the answer
1-3x [tex]\leq[/tex]0
Interval notation

Answers

Step-by-step explanation:

hope it helps

see attached

Guys help I’m failing math this assignment is 100 points it will boost my grade I’m timed..

Answers

Answer:

edf

Step-by-step explanation:

I think it’s real numbers
Sorry if it’s wrong

Find the perimeter of the following triangle.
Write your answer as a mixed number in simplest form.
Be sure to include the correct unit in your answer.

1/7/18 yd
5/12 yd
1/2/9 yd

Answers

Answer:

If I did my math correctly, I'm pretty sure the answer is 3 1/36 yards.

Step-by-step explanation:

1. First, you have to turn them all into an improper fraction.

1 7/18 becomes 25/18

1 2/9 becomes 11/9

5/12 remains the same as it's already an improper fraction.

2. Find a common denominator, which is 36

25/18 becomes 50/36

11/9 becomes 44/36

5/12 becomes 15/36

3. Add them all together and you get 109/36

4. Turn it into a mixed number, and in this case, is 3 1/36

Solution is 3 1/36

Answer:

3 1/36

Step-by-step explanation:

NEED HELP IN FINDING AREA

Answers

Answer:

809 km²

Step-by-step explanation:

I can split this into 3 rectangles. One is 25 by 17, another is 24 by 13, and the last one is 6 by 12. (I had gotten 13 for the second rectangle because 25 - 12 = 13.)

(25 * 17) + (24 * 13) + (6 * 12) {17 is the first number after a multiple of 4 (16). As a result, 25 by 17 will end in "25." 25 by 17 is 425.}

425 + (24 * 13) + (6 * 12) {24 by 13 is 312.}

425 + 312 + (6 * 12) {6 by 12 is 72.}

425 + 312 + 72 {From left to right, add 425, 312, and 72 to get 809}

737 + 72

809 km²

The area of this figure is 809 km².

The sales rate is 8%. If Janelle buys a gymnastics mat priced at $87 , how much tax will she pay?

Answers

Answer: $6.96

Step-by-step explanation:

To find out what 8% of $87 is, you have to convert the 8% into decimal form which is 0.08. Then you have to multiply  that by $87

87*0.08 = 6.96

Now, we know $6.96 is 8% of $87 which is how much she will be paying in tax

X 6.4.7-T
Question Help
Assume that females have pulse rates that are normally distributed with a mean of j = 74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 78 beats per minute.
The probability is
(Round to four decimal places as needed.)
Enter your answer in the answer box and then click Check Answer
2 parts
remaining

Answers

Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then

P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)

… = P(-0.32 < Z < 0.32)

… = P(Z < 0.32) - P(Z < -0.32)

… ≈ 0.6255 - 0.3745

… ≈ 0.2510

where Z is normally distributed with mean 0 and s.d. 1.

• • •

Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,

[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]

Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.

The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have

P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))

… = P(-1.6 < Z < 1.6)

… = P(Z < 1.6) - P(Z < -1.6)

… ≈ 0.9452 - 0.0548

… ≈ 0.8904

Find the surface area of a cylinder with a base diameter of 10 in and a height of 8 in.

Answers

Answej hhjb hgygvhgvhgvhgvhvhgvhvhvgh

If the base of a rectangle is 27.4 mm and the area is 420.92 mm2 what is the height of the rectangle?

Answers

Answer:

15.36mm

Step-by-step explanation:

The area of a triangle can be defined as B x H or L x H,

In your case, I'm assuming you meant base as length, so just plug into the equation:

L x H = 420.92mm2

27.4 x H = 420.92

H = 15.36

If you want to be exact, it is 15.3620438

The required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.

The base of a rectangle is 27.4 mm.
The area is 420.92 mm2.
What is the height of the rectangle is to be determined.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°. Beside of square its pair of opposide sides are named as length and width sometimes base and height according to the mentions.

The area of a rectangle is a product of is two adjacent sides i.e. length * width

Area of the rectangle = height * base
420.92 = 27.4 * height
height = 420.92/27.4
height = 15.36

Thus, the required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.

Learn more about rectangles here:

brainly.com/question/15019502

#SPJ2

I need help with my math assignment please

Answers

Answer:

angles 1 and 6

Step-by-step explanation:

Answer:

C. angle 2 and angle 7

Step-by-step explanation:

hope this helps, have a nice day :)

whats the answer to this please

Answers

bubuoin ba ng salita yan

PLEASE HELP 25 POINTS

The topographic map shows the location of a park ranger at Point X when a message is received that an injured hiker needs help at Point Z.




Which answer correctly identifies the elevations of both points on the map?






Point X= 1500m, Point Z= 2000m


Point X= 1550m, Point Z= 1600m


Point X= 1600m, Point Z= 2050m


Point X= 2050m, Point Z= 1600m

Answers

Answer:Point X= 1600m, Point Z= 2050m

Step-by-step explanation:

help me please and answer correctly people answer wrong on purpose ​

Answers

Sorry for not answering your question but please I am telling you guys don’t fall for someone when they send you links here like this first person above me he send a link don’t press it y’all don’t this is really bad it makes your phone really bad

sinx dx+y[tex]sinx dx+y^{2} dy=0

Answers

use photo math it should help hehe

An algebraic expression that contains three terms is called

Answers

Answer:

Trinomial

Step-by-step explanation:

Traditionally, an expression consisting of 3 terms is called a Trinomial. For example : 3x + 4y -z, 5xy + 4yz + 4 ,a + b –c. And an expression consisting of more than 3 terms is called Polynomial.

hope this helps:)

Answer:  An algebraic expression that contains three terms is called trinomial

Hope this helps!

Chloe wants to buy soda for a party. He buy a case of 24 cans or he can buy 4 six-packs of cans. The case costs $8.44 and each six-pack costs $2.85. Which is the better buy?

Answers

Answer:

the can that costs 8.44 is a better buy

Step-by-step explanation:

Answer:

the 24 can pack

Step-by-step explanation:

2.85 x 4 = 11.4

$11.4 is more expensive than $8.44

Please help me i dont know what to do

Answers

Answer:

Help you with what?

United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills. Each mill has a different
production capacity (in tons per day) for each grade, as follows:
Mill
Aluminum
Grade 1 2
High 6 2
Medium 2 2
Low 4 10
The company has contracted with a manufacturing firm to supply at least 12 tons of high-grade aluminum, 8 tons of medium-grade aluminum, and 5
tons of low-grade aluminum. It costs United $6,000 per day to operate mill 1 and $7,000 per day to operate mill 2. The company wants to know the
number of days to operate each mill in order to meet the contract at the minimum cost.
Formulate a linear programming model for this problem.

Answers

Answer:

uh

Step-by-step explanation:

blank plus 1/5 equals to 1/2

Answers

Answer: 3/10

Step-by-step explanation:

To get the value for the blank, treat it as a variable. Let’s say this blank is x.

x + 1/5 = 1/2

Subtract 1/5 from both sides:

x = 1/2 – 1/5

x = 3/10

The blank is 3/10.

Hope this helps!

The midpoint AB is M (1,1). If the coordinates of A are (-3,-3), what are the coordinates of B

Answers

Answer:

(2,−4).

Step-by-step explanation:

Hope this helps and have a wonderful day!!!!

Each interior angle of a regular nonagon has a measure 13x+10°. What is x?

Answers

Answer:

Step-by-step explanation:

A nonagon has nine sides.

The sum of exterior angles = 360°, so each exterior angle is 360°/9 = 40°.

Each interior angle = 180°-exterior angle = 140°.

13x + 10° = 140°

x = 10°

the probability that a student takes spanish is 70%. The probability that a student takes spanish and they are a freshman is 30% what is the probability that a randomly selected student is a freshman given that he/she takes spanish

Answers

30%....................................

Answer:  At Kennedy Middle School, the probability that a student takes Technology and Spanish is 0.087. The probability that a student takes Technology is 0.68

Step-by-step explanation: u divide

The original price of a mirror was priced at $15 but was on sale. The amount of the discount is $3. What percent is the discount of the mirror?​

Answers

Answer:

20%

Step-by-step explanation:

You do 3 divided by 15 which is 0.2, or 20 percent.

i am so confused. not sure how to solve need step by step instruction to help please

given:f(x)=3x−7 for × ≥0
f(x)=-2x +3 for x >0
find: f(-5)

Answers

Answer:

13

Step-by-step explanation:

Since -5 is less than zero, we use the second equation, and substitute the -5 in for the x.

-2(-5)+3=13

Find the value of x in the parallelogram below.

Answers

Answer:

B)  x = 12

Step-by-step explanation:

m∡EOU = m∡TQE

m∡EOU =180 - (39+45) = 96°

m∡TQE:  7x + 12 = 96

7x = 84

x = 12

can you help me please

Answers

9514 1404 393

Answer:

domain: x ∉ {-4, 3}range: y ∉ {1}horizontal asymptote: y=1vertical asymptote: x=3

Step-by-step explanation:

The expression reduces to ...

  [tex]\dfrac{x^2+9x+20}{x^2+x-12}=\dfrac{(x+4)(x+5)}{(x+4)(x-3)}=\dfrac{x+5}{x-3}\quad (x\ne-4)[/tex]

The domain is limited to values of x where the expression is defined. It is undefined where the denominator is zero, at x=-4 and x=3. The graph of the expression has a "hole" at x=4, where the numerator and denominator factors cancel.

the domain is all real numbers except -4 and +3

The function approaches the value of 1 as x gets large in magnitude, but it cannot take on the value of 1.

the range is all real numbers except 1

As discussed in 'range', there is a horizontal asymptote at y=1. That is the value you would get if you were to determine the quotient of the division:*

  (x+5)/(x-3) = 1 + (8/(x-3)) . . . . quotient is 1

There is a vertical asymptote at the place where the denominator is zero in the simplified expression: x = 3.

vertical asymptote at x=3; horizontal asymptote at y=1

_____

* For some rational functions, the numerator has a higher degree than the denominator. In those cases, the quotient may be some function of x. The "end behavior" of the expression will match that function. (Sometimes it is a "slant asymptote", sometimes a higher-degree polynomial.)

please help i am giving away brainliest

A swimming pool in the shape of a cylinder with a diameter of 10 m and a depth of 3 m is being filled with water. 27,535 L have been added so far. 1 m3 is equal to 1000 L. To the nearest liter, how much more water can the pool hold?

A. 236,000 L
B. 208,084 L
C. 236,616 L
D. 207,314 L

No dam links

Answers

Answer:

207,314

Step-by-step explanation:

V = πr2h =π  · 52·3 ≈ 235.61945 m^3

because 1m^3 = 1000 L, (27,535 / 1000) = the amount of added water in m^3. As this is equal to 27.535, we can substract this from 235.62.

235.62 - 27.535  is about 208.085, or 207.314 because of rounding. As this is in m^3, we multiply by liters to arrive at the answer of 207,314, or option D.

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