Given f(x) = e^x and g(x) = x – 2, what is the range of (g*f)(x)

Final answer:

The population of 15,000 blue trout is expected to increase to approximately 36,621 individuals after 5 years using the given growth function.

Explanation:

The question asks what happens to the population of 15,000 blue trout released into the Meherrin River after 5 years, given the function f(x) = 15,000(9/8)^x. To find out the population after 5 years, we substitute x = 5 into the function. The calculation proceeds as follows:

Therefore, after 5 years, the blue trout population is expected to increase to approximately 36,621 individuals, assuming ideal conditions without factors like predation or disease significantly impacting the population.

Answer:

- 12, - 7, - 2, 3, 8

Step-by-step explanation:

The general terms of an arithmetic sequence are

a, a + d, a + 2d + ....... + a + (n - 1 )d

To obtain consecutive terms in the sequence add d = 5 to the previous term

[tex]a_{1}[/tex] = - 12

[tex]a_{2}[/tex] = - 12 + 5 = - 7

[tex]a_{3}[/tex] = - 7 + 5 = - 2

[tex]a_{4}[/tex] = - 2 + 5 = 3

[tex]a_{5}[/tex] = 3 + 5 = 8

Answer:185  workers left

Step-by-step explanation:

Answer:

the answer is 185 workers left

Step-by-step explanation:

there are 200 workers but 15 were chosen so you have to subtract 200-15 whis is 185

I agree with ZOMBIE0O That the question is somewhat confusing. I see two options as being possible, depending on the nature of the question. The first option, 49, is a possibility. This would be the answer if the second two numbers were insignificant to the number of books (for example, if it were describing the dimensions of the books as 5•40). The second option is also a possibility, if the question is wanting you to add (49•5)+(5•40).

Answer: The first one is incorect. It may be the second one

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It would have to be C because that is the only one longer than the height of the Empire State Building and you can see it has to be larger by the 8:6 ratio between Pablo's shadow and Pablo's height

Answer:

164 sq. meters

Step-by-step explanation:

So to make it easier, you can break the shape up in a smaller shape. So now it'll look like 2 big rectangles on each side with a small rectangle in the middle. Now you can find the area.

For the big rectangle on the left:

5 × 15 = 75

For the big rectangle on the right:

5 × 15 = 75

For the small rectangle in the middle:

It doesn't say what the length is but if you subtract 8 from 15, that's what the length will be.

15 - 8 = 7

L = 7

7 × 2 = 14

Now add all the areas up.

75 + 75 + 14 = 164

Answer:

C, C

Step-by-step explanation:

1. The opposite sides are equal length and parallel, so this is a parallelogram.

Answer C.

2. The length of the midsegment of a trapezoid is the average of the lengths of its top and bottom.

9.2 = 1/2 (12.6 + x)

18.4 = 12.6 + x

x = 5.8

Answer C.

The first one is a parallelogram because it has 2 sets of congruent sides

The second one is (C) AB=5.8 cm

Answer:

2 feet

Step-by-step explanation:

The model is  the actual size. This means that for every 6 feet measured on the actual car, the model will span 1 foot.

Note that the model length is in the numerator and the actual length is in the denominator.

Thus, if the car is 12 feet long and L represents the length of the model, then write the ratio as .

Set the two ratios equal to each other to obtain the proportion below.

The length of the model is given below.

Therefore, the length of the model is  feet.

The question is about scale conversion in mathematics. Given that Paul's full-sized car is 12 feet long and his model is 1/7th the size of the actual car, the length of the model car would be about 1.71 feet.

The question involves a scale conversion in mathematics. If Paul's car is 12 feet long in real life, and his model is going to be 1/7th the size of the actual car, we need to determine the length of the model using this scaling factor.

To find out the length of the model, you multiply the actual length of the car by the scale factor, which in this case is 1/7. So, the calculation would be as follows:

12 feet (length of the car) * 1/7 (scale factor) = 1.71 feet (approx)

Therefore, the length of Paul's model car would be approximately 1.71 feet.

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There are 120 ways we can list 5 basketball players in order in a program.

Permutations are the selection in order from a given set of values. Here, the order is of importance.

There are five basketball players.

We are asked to find the number of ways in which they can be listed in order.

We can use permutations to find the answer.

We can find the number of ways in which the basketball players can be listed in order as follows:

Total number of ways = 5*4*3*2*1

= 20*3*2*1

= 60*2*1

= 120 ways.

The number of ways in which the basketball players can be listed in order is found. The basketball ball can be listed in 120 ways.

Therefore, we have found that there are 120 ways we can list 5 basketball players in order in a program.

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Hey There!

To find how many seats are needed to be added, you need to subtract 15,340 by 13,451. You need to find the difference between the seats you need and the seats you have. So...

15,340-13,451= 1,889

You need to add 1,889 more seats.

Hope This helped!

Godspeed,

SongBird

Answer:

The required equation is 13451 + x = 15340,

1,889 seats are needed.

Step-by-step explanation:

Given,

Original number of seats = 13,451,

Also, the number of people who needed to be seated = 15,340,

Let x seats were added,

So, the new number of seats = 13451 + x

Thus, 15,340 will get the seat,

If total seats = 15340

⇒ 13451 + x = 15340

Which is the required equation,

Subtract 13451 on both sides,

We get,

x = 1889

Hence, 1889 seats are needed to accommodate all the people.

Answer:

a) Ellipse

b) Sphere

c) Great circle

d) Triangle

e) Circle

Step-by-step explanation:

A) Diagonal cross section of cylinder

Ellipse

B) Shape created when a semi circle is rotated about y axis

Sphere

C) Diagonal cross section through the widest part of sphere

Great Circle

D) Perpendicular cross section of cone

Triangle

E) Cross section parallel to the base of cone

Circle.

Answer:

-20

Step-by-step explanation:

-2(3^2)+3-5

-2(9)+3-5

-18+3-5

-18-2

-20

Answer:

-20

Step-by-step explanation:

The guy before me said so

For this case we have the following expression:

[tex]7x^{10} + 6x ^ 5 + 5[/tex]

We must rewrite it quadratically:

By definition, a quadratic equation is of the form:

[tex]ax ^ 2 + bx + c = 0[/tex]

Now, suppose [tex]u = x ^ 5[/tex]

Rewriting the given expression with the change of variable we have:

[tex]7u ^ 2 + 6u + 5[/tex]

So, we have a quadratic expression.

Returning the change we have:

[tex]7 (x ^ 5) ^ 2 + 6 (x ^ 5) +5[/tex]

ANswer:

Option B

Let's assume x is the blank.

The equation is therefore:

[tex]

7\times(5-2)=(7\times5)-(x\times2) \\

7\times3=35-2x \\

21=35-2x \\

21-35=-2x \\

-14=-2x\Longrightarrow x=\frac{-14}{-2}=\boxed{7}

[/tex]

Answer:

Step-by-step explanation:

7x(3) = 21

(7x5) - (7x2) = 21

35-14=21

Answer is (7 x 2)or 7

Suppose there is a function [tex]f(n)=3n^2, n\in\mathbb{N}[/tex].

We start counting by 1 from the first element in domain of natural numbers so: 1, 2, 3, 4.

We assemble the definition set [tex]A=\{1,2,3,4\}[/tex] than use the function f(n) to create transformation set:

[tex]f(A)=3\{1,2,3,4\}^2\Longrightarrow\{3,6,9,12\}^2 \\

\boxed{B=\{9,36,81,144\}}

[/tex]

So the first four terms are defined in transformation set B.

Hope this helps.

r3t40

Answer:

The radius of the cylinder is [tex]r=3\ ft[/tex]

Step-by-step explanation:

we know that

The volume of the cylinder is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]V=169.65\ ft^{3}[/tex]

[tex]h=2r\ ft[/tex]

assume

[tex]\pi=3.14[/tex]

substitute the values and solve for r

[tex]169.65=(3.14)r^{2} (2r)[/tex]

[tex]169.65=(6.28)r^{3}[/tex]

[tex]r^{3}=169.65/(6.28)[/tex]

[tex]r=3\ ft[/tex]

Hello There!

Area = ½( 8 * 6) = 24

Answer:

Step-by-step explanation:

Answer: A=24

To figure this out multiply 8 and 6 to get 48.

A triangle is half of a square.

Divide 48 by 2 to get 24.

:)

I first plotted the three points and from from their position it was clear which pairs to join to start a rectangle.

At this point you need to check to make sure the angle at B is a right angle. Find the slope of the line segments AB and BC and check that the product of the slopes is -1.

From the diagram you can now see where the fourth point D has to be. If AB and CD are parallel then D must be 3 units to the left of C and 2 units above C. Find the coordinates of D and then check by finding the slopes of CD and DA and showing that the angle at D is a right angle.

I hope this helps

Answer:(3,-3)

Step-by-step explanation:

So 25% of $199 is $49.75. If you subtract the promotion off you get 199-49.75=149.25. Then the sales tax is 6% so you take the new cost $149.25 and multiply it by .06 which equals 8.955. so then you add on the tax so $149.25+8.955=$158.205. Your answer is $158.205 or approximately $158.21

Answer:

$94.61

Step-by-step explanation:

Tax is on reduced and not original price

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

-6 because 96 divided by 16 is, 6. But since it's -16 it would be a negative, making the answer -6!

Answer:

this is my answer -6 or 16 whatever question you had

Step-by-step explanation:

Answer:

25 dollars

Step-by-step explanation:

To calculate the cost of a 75 credits card, we first find the cost per credit and the initial cost of the card, which are $0.18 and $8 respectively. The total cost is then $21.5.

We know Jude bought a card with 50 credits for $17 and Audrey got one with 80 credits for $26. We can say that the cost per credit is constant. To find this cost per credit, we first need to calculate the difference between the costs and then divide the result by the difference in number of credits: So, cost per credit = (26-17) / (80-50) = 0.18. This implies for each credit the cost is 18 cents. For a 75 credit card, the price would be 75 * 0.18 = $13.5. However, this doesn't account for the initial cost to purchase the game card. If we say the initial cost is a flat fee included in the price Jude and Audrey paid, we need to subtract the total cost of the credits from their total spend to work this out: Jude’s initial cost = $17 - (50 * $0.18) = $8. Audrey’s initial cost = $26 - (80 * $0.18) = $8. As we supposed, initial cost is a constant of $8. Hence, the cost of a 75 credits card would include this initial cost: 75 credits would cost = $8 + 75 * $0.18 = $21.5.

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sure dm me and i will tell you all about it i actually still do that and it seems very easy to me

Answer:

Final answer is n = 3.

Step-by-step explanation:

Given equation is [tex]\frac{2}{n}=\frac{2}{3}[/tex]. Now we solve that equation for n then select best matching choice from the given choices.

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

cross multiply

[tex]2 \times n = 2 \times 3[/tex]

[tex]2 \times n = 6[/tex]

[tex] \frac{2 \times n}{2} = \frac{6}{2}[/tex]

[tex] n = 3[/tex]

Hence final answer is n = 3.

Hence correct choice is C.

Answer:

The reasonable range is limited to the whole numbers when 0 ≤ y ≤ 144,000.

Step-by-step explanation:

Notice that even though the range of the function is mathematically defined for all real numbers, in the real world you can't have more than 144,000 granola bars; that occurs when you have no boxes, or in other words, when x = 0

On the other hand, in the real word you can't have a negative quantity of a thing (you can't have minus 2 popsicles, for example). Given that granola bars are things, you must have at least 0 granola bars; in other words the quantity of granola bars must be greater or equal zero.

We know that in the real word you cant have more than 144,000 granola bars, and you must have at least 0 granola bars; therefore, the reasonable range of the function f(x) = –12x + 144,000 is 0 ≤ y ≤ 144,000.

Since we are talking of full granola bars here, the range is limited to whole numbers (whole granola bars).

We can conclude that the correct answer is: The reasonable range is limited to the whole numbers when 0 ≤ y ≤ 144,000.

Final answer:

The accurate statement is: The reasonable range is limited to the whole numbers when 0 ≤ y ≤ 144,000.

Explanation:

The question asks to identify the limitation of the reasonable range compared to the mathematical range for a function modelling the stock of granola bars, f(x) = – 12x + 144,000, based on the number of boxes, x, packaged by a machine.

The mathematical range could theoretically be any real number, but practically, since we are counting discrete items (granola bars), the reasonable range should be limited to whole numbers reflecting the actual possible quantities of granola bars in stock.

Additionally, since the stock cannot be negative and is started with 144,000 granola bars, the stock can range only down to 0 but not below, thus making the reasonable range from 0 to 144,000.

Therefore, the accurate statement is: The reasonable range is limited to the whole numbers when 0 ≤ y ≤ 144,000.

Answer:

Neither A or B

Answer: Option A

Step-by-step explanation:

Given two variables X and Z, it is said that there is a correlation between X and Z if both variables change together.

That is, if when the variable X increases the variabl Z increases also then there is a positive correlation

if when the variable X increases the variable Z decreases then there is a negative correlation.

Now observe the graphs that are shown in the image. Note that in both cases the points are scattered and there is no clear relationship between the variables. Therefore the correlation is zero in both cases

Examples of strong positive and negative correlations are shown in the attached image

The histogram displays the distribution of fish counts in 10 tanks, ranging from 30 to 45 fish, with varying frequencies in each interval.

To create a histogram of the given data showing the number of fish in each tank, we'll first need to organize the data into intervals or bins and then count the frequency of fish counts falling within each interval. Here's how we can do it:

1. Determine the intervals or bins to represent the range of fish counts.

2. Count the frequency of fish counts falling within each interval.

3. Draw the histogram with the intervals on the x-axis and the frequency of fish counts on the y-axis.

Given the data: 30, 32, 41, 38, 42, 30, 35, 38, 40, 45

Let's choose intervals of width 5 starting from 25 to 50. Then, we count how many fish counts fall within each interval:

Interval 25-29: 0

Interval 30-34: 3 (30, 32, 30)

Interval 35-39: 3 (38, 35, 38)

Interval 40-44: 3 (41, 42, 40)

Interval 45-49: 1 (45)

Now, we can draw the histogram:

```

Frequency

   |     *

   |     *     *

   |     *  *  *  *

   |     *  *  *  *

   |_____________________

      25  30  35  40  45

```

Each asterisk (*) represents one tank with the corresponding number of fish. The x-axis represents the intervals, and the y-axis represents the frequency of fish counts.

This histogram visually represents the distribution of fish counts in the 10 fish tanks at the pet store.

Check the picture below.

The answer above is corrected

Answer:

Cone= [tex]\frac{1}{3} *pi*r^{2}*h[/tex]    Cylinder= [tex]pi*r^{2} * h[/tex]

Step-by-step explanation:

Cone volume= 1/3 × π × r²×h            Cylinder volume= π × r² × h

                        1/3 × π × 15²×7                                         π × 15² × 7

                        1/3 × π × 225×7                                       π × 225 × 7

                        525π                                                       1575π

Final answer:

The problem involves finding the base 'b' and height 'h' of a parallelogram with an area of 216 cm², where the height is 2/3 of the base. By substituting h = (2/3)b into the area formula, base x height, and solving, we find that the base is 18 cm and the height is 12 cm.

Explanation:

To find the base and height of the parallelogram given that the area is 216 cm² and the height is 2/3 of its base, we use the formula for the area of a parallelogram:

Base x Height = Area of parallelogram

Let the base be 'b' and the height be 'h'. According to the problem, h = (2/3)b, so we can substitute 'h' in the area

formula:

b x (2/3)b = 216 cm²

Which simplifies to:

(2/3)b² = 216 cm²

Now, solve for 'b' to find the base, and use that to find 'h' (the height):

b² = (216 cm²) x (3/2)

b² = 324 cm²

b = √(324 cm²)

b = 18 cm

Therefore, the base is 18 cm. Now we find the height:

h = (2/3) x 18 cm

h = 12 cm

The base of the parallelogram is 18 cm and the height is 12 cm.