How do we change
change a whole number to a fraction?

The number of months until the insect population reaches 40 thousand is 14.29 months and the limiting factor on the insect population as time progresses is 250 thousands.

Given that population P(t) (in thousands) of insects in t months after being transplanted is P(t)=(50(1+0.05t))/(2+0.01t).

(a) Firstly, we will find the number of months until the insect population reaches 40 thousand by equating the given population expression with 40, we get

P(t)=40

(50(1+0.05t))/(2+0.01t)=40

Cross multiply both sides, we get

50(1+0.05t)=40(2+0.01t)

Apply the distributive property a(b+c)=ab+ac, we get

50+2.5t=80+0.4t

Subtract 0.4t and 50 from both sides, we get

50+2.5t-0.4t-50=80+0.4t-0.4t-50

2.1t=30

Divide both sides with 2.1, we get

t=14.29 months

(b) Now, we will find the limiting factor on the insect population as time progresses by taking limit on both sides with t→∞, we get

\(\begin{aligned}\lim_{t \rightarrow \infty}P(t)&=\lim_{t \rightarrow \infty}\frac{50(1+0.05t)}{2+0.01t}\\ &=\lim_{t \rightarrow \infty}\frac{50(\frac{1}{t}+0.05)}{\frac{2}{t}+0.01}\\ &=50\times \frac{0.05}{0.01}\\ &=250\end\)

(c) Further, we will sketch the graph of the function using the window 0≤t≤700 and 0≤p(t)≤700 as shown in the figure.

Hence, when the population P(t) (in thousands) of insects in t months after being transplanted by P(t)=(50(1+0.05t))/(2+0.01t) then the number of months until the insect population reaches 40 thousand 14.29 months and the limiting factor on the insect population is 250 thousand and the graph is shown in the figure.

Learn more about limiting factor from here brainly.com/question/18415071.

#SPJ1

Answer:

2

Step-by-step explanation:

Y = 5

x = 4

Substitute

5 + 1 - 4

6 - 4

2

Answer:

Given that x = 4 and y = 5,

\(\sf 5 + 1 - 4\\(5 + 1) - 4\\5 + 1\\= 6\\= 6 - 4\\= 2\)

Therefore, the answer is 2.

Answer:

Step-by-step explanation:

STEP 1: Show the array of values.

The array is {199, 16, 186, 115, 158, 135, 186, 14, 10}

STEP 2: Determine the number of elements/values.

Here, it is 9

STEP 3: Starting from zero, assign number tags to each value.

Since the values are 9 in number, the numerical tags will be 0, 1, 2, ..., 8

mv

STEP 3: Check if the sub-array is a base case.

This sub-array has at least 2 figures or values, hence is not a base case.

STEP 4:

Answer:

125 ft^3

Step-by-step explanation:

V = length x width x height so for a cube V= side^3

V= 5 x 5 x 5 or 5^3 = 125

Hope this helps!

i. Costco is more effective at collecting its accounts receivable faster.

ii. The trend in the accounts receivable turnover ratio and the number of days sales in accounts receivable for both companies is that they are both decreasing.

iii. Costco is more effective at collecting its accounts receivable faster than Sam's Club.

Accounts Receivable Turnover: Year ended in 2022: 10.2 times; Year ended in 2021: 10.1 times.

Number of Days Sales in Accounts Receivable: 2022: 38.6 days; 2021: 39.1 days.

Sam's Club

Accounts Receivable Turnover: Year ended in 2022: 8.6 times; Year ended in 2021: 8.5 times.

Number of Days Sales in Accounts Receivable: 2022: 45.2 days; 2021: 46.2 days.

This could be due to a number of factors, such as the economic environment, changes in customer payment habits, or changes in the way that the companies are managing their receivables.

This could be due to a number of factors, such as the companies' different business models, customer bases, or payment terms.

So, Costco is more effective at collecting its accounts receivable faster.

The trend in the accounts receivable turnover ratio and the number of days sales in accounts receivable for both companies is that they are both decreasing. Costco is more effective at collecting its accounts receivable faster than Sam's Club.

For such more questions on accounts

https://brainly.com/question/1859113

#SPJ8

9514 1404 393

Answer:

  yes, EF || GH

Step-by-step explanation:

Using the slope formula, we can compare the slopes of EF and GH.

  m = (y2 -y1)/(x2 -x1) . . . . . slope of segment between (x1, y1) and (x2, y2)

Slope of EF is ...

  m = (1 -5)/(7 -2) = -4/5

Slope of GH is ...

  m = (5 -(-3))/(-8 -2) = 8/-10 = -4/5

The slopes of the segments are the same, so they are parallel.

Answer:

go on

Step-by-step explanation:

math,way, ., com

A. The following are sets A and B:

A = {2, 3, 5, 7, 11}

B = {1, 2, 3, 4, 6, 12}

C. Elements not in A or A' = ∅

B. The Venn diagram is attached

A universal set is a set which consists of all elements related to the given sets. It is denoted by U.

A. Set A:

A = {2, 3, 5, 7, 11}

Set B:

B = {1, 2, 3, 4, 6, 12}

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

A' = {1, 4, 6, 8, 9, 10, 12}

C. Elements not in A or A' = ∅

Complement of set A is refers to a set that contains the elements present in the universal set but not in set A.

Hence, the Venn diagram of sets A, B and U has been attached.

Read more on set theory:

https://brainly.com/question/13458417

#SPJ1

Answer:

46/79 = 0.5 so 50% rounded up

Step-by-step explanation:

The probability distribution of the number of customers that enter the store on a given day is described as follows:

Poisson with a mean of 70 customers.

In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:

Hence the mean is of:

8 + 16 + 18 + 28 = 70 customers.

More can be learned about the Poisson distribution at https://brainly.com/question/7879375

#SPJ1

The correct statements regarding the transformations are given as follows:

Examples of transformations are given as follows:

Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.

More can be learned about transformations in a figure at https://brainly.com/question/28687396

#SPJ1

Answer:

Ann traveled 165 miles on 5 gallons of gas

Step-by-step explanation:

First we must know how many miles are in a gallon (in this situation). Last weekend Ann drove 132 miles with 4 gallons of gas, we can divide to find out how many miles she drove on 1 gallon. 132/4 = 33. This means Ann drove 33 miles on 1 gallon of gas. To get your answer, simply multiply 5 and 33. 5 times 33 = 165.

Answer:

x = y + 14

Step-by-step explanation:

y = x - 14 ( isolate x by adding 14 to both sides )

y + 14 = x

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

It is the distance that –5 is from 5 on the number line.

Step-by-step explanation:

It is the distance that –5 is from 5 on the number line.

Answer:

5 to 5 on the number line!

Step-by-step explanation:

Have a jolly weekend!^_^

Answer:

https://www.portnet.org/cms/lib6/NY01001023/Centricity/Domain/290/Scanned-image.pdf

Step-by-step explanation:

...

The standard deviations above the mean that a student have to score to be publicly recognized will be 0.674.

From the information given, it was stated that the students who score in the top 16 percent are recognized publicly for their achievement by the Department of the Treasury.

Based on the information given, it should be noted that the appropriate thing to do is to find the z score for the 75th percentile.

This will be looked up in the distribution table. In this case, the value is 0.674. Therefore, standard deviations above the mean that a student have to score to be publicly recognized will be 0.674.

Learn more about standard deviation on:

brainly.com/question/475676

#SPJ1

The two solutions to the linear equation is given by the ordered pairs (0, 6) and (-4, 5).

In order to to graph the solution to the given linear equation on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point that lie on it;

y = 0.25x + 6.00

Next, we would use an online graphing calculator to plot the given system of equations as shown in the graph attached below.

Based on the graph (see attachment), we can logically deduce that a possible solution for the linear equation is the ordered pairs (-4, 5) and (0, 6).

Read more on solution here: https://brainly.com/question/29283759

#SPJ1

Answer:

300%

Step-by-step explanation:

because 9/3×100=900/3=300 so it is 300%

Answer:

300%

Step-by-step explanation:

9/3 * 100%

900%/3 = 300%

The rate of change over the interval is the difference in the y coordinate over the difference in x-coordinate over between the endpoints of the interval.

Now, in our case

Hence, choice C is correct.

Answer:

16801.2cm²

Step-by-step explanation:

Cone :

SA = πrl

SA = π · 28 ·  45                     90-45 = 45

SA = 3958.406744

Cylinder :

SA = 2 · π · r · ( r+h)

SA = 2 · π · 28 ( 28 +45 )

SA = 2 · π · 28 (73)

SA = 12842.83077

12842.83077 + 3958.406744 =

16801.2cm²

Answer:

(x + 2)² + (y - 2)² = 3²

Step-by-step explanation:

Equation of a circle is (x - a)² + (y - b)² = r²,

where a is the x-coordinate of the centre of the circle, b is the y-coordinate of the centre of the circle, r is the circle's radius.

So, we have (x - -2)² + (y - 2)² = 3²

subtract a minus means we add.

(x + 2)² + (y - 2)² = 3²

A fair price for the seller's 1800 square foot house is $183.68 thousand, option B is correct

Two or more expressions with an Equal sign is called as Equation.

The given linear equation represents a relationship between the square footage (x) and the price (y) of houses in the neighborhood.

We can use this equation to estimate the fair price for the seller's house by plugging in the square footage (x) of the house and solving for y:

y = 0.074x + 50

y = 0.074(1800) + 50

y = 133.2 + 50

y = 183.68

Hence, a fair price for the seller's 1800 square foot house is $183.68 thousand, option B is correct

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

13 friends make up 48.1%

14 friends make 51.8%

51.8-48.1 = 3.7

3.7% decrease

Step-by-step explanation:

the distributing ratio is 2:5.

that means for every 2 white marbles there must be 5 blue marbles.

so, we are taking about "groups" or multiples of 7 (2+5 = 7).

now, even 7×7 = 49 is too small.

but the next multiple of 7 (7×8 = 56) is now big enough to include at least 50 marbles.

so, in order to keep the 2:5 ratio strictly in place, the minimum number of marbles in the bag is 56.

Answer:

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Step-by-step explanation:

For a dilation at the origin, multiply each of the coordinates by the scale factor.

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

In order to show that △ ABC ≅ △ DEF by SAS congruence, we need the sides of triangles ABC and DEF with the angle between the respective sides.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. "" is the congruence symbol. When two figures are comparable to one another in terms of their size and shape, this is what mathematicians mean by congruence. In essence, there are four congruence principles that demonstrate if two triangles are congruent. However, locating all six dimensions is essential. As a result, the congruence of triangles can be assessed using just three of the six variables.

Congruency Requirements:

SSS (Side-Side-Side)

SAS (Side-Angle-Side)

ASA (Angle-Side-Angle)

AAS (Angle-Angle-Side)

RHS (Right angle-Hypotenuse-Side) 

To learn more about congruency of the triangle, visit:

brainly.com/question/6108628

#SPJ4