Which of the following is the inverse of F(x) if F(x) = 6x?
O A. F(x) = 6x
O B. F(x) = x-6
O C. F(X) -
O D. F(x) = x + 6

Which Of The Following Is The Inverse Of F(x) If F(x) = 6x?O A. F(x) = 6xO B. F(x) = X-6O C. F(X) -O

Answers

Answer 1
The best answer is d
Answer 2

The correct inverse of F(x) = 6x is y = x/6 according to given question

To find the inverse of a function, we need to interchange the roles of the dependent variable (x) and the independent variable (F(x)) and solve for the new dependent variable.

Given that F(x) = 6x, to find the inverse, we can follow these steps:

Replace F(x) with y: y = 6x.

Swap x and y: x = 6y.

Solve for y: Divide both sides by 6 to isolate y: y = x/6.

Therefore, the inverse function of F(x) = 6x is given by y = x/6.

Out of the options provided:

A. F(x) = 6x: This is the original function, not the inverse.

B. F(x) = x-6: This is not the correct inverse function.

C. F(X): This option is incomplete; it does not provide an equation for the inverse.

D. F(x) = x + 6: This is not the correct inverse function.

Therefore, the correct inverse of F(x) = 6x is y = x/6.

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Related Questions

Write the given number in expanded form. 3.724 = (3 × ) + (7 × ) + (2 × ) + (4 × )

Answers

Answer:

3.724

Step-by-step explanation:

 3.724 =

 3  

+   0.7

+   0.02

+   0.004

3.724 =

 3 × 1  

+ 7 ×   0.1

+ 2 ×   0.01

+ 4 ×   0.001

answer this please pretty please​

answer this please pretty please

Answers

Answer:

Wassup Obito

Step-by-step explanation:

I would have done it if you had asked for only 1 question but you have asked someone to do more than 10 q

You must be mad to think someone will do the entire thing

Mark me brainliest

A rectangle piece of metal has an area of 32 square centimeters. Its perimeter is 24 centimeters. What are the dimensions of the piece

Answers

The dimensions of the piece are l = 8 and b =4.

What are dimensions?

The minimal set of coordinates required to specify any point within a mathematical space is the dimension of that space. Because only one coordinate is required to specify a point on a line, it has a dimension of one.

Here,

Let the length of a rectangular piece of metal = l cm

And the breadth of a rectangular piece of metal = b cm

Perimeter of a rectangular piece of metal = 2(l+b) = 24 cm

Or, l+b = 24/2

Or, l+b = 12 -------- (1)

Area of a rectangular piece of metal = l×b = 32 cm²

Or, l×b = 32 ------- (2)

We know that,

(l - b)² = (l+b)² - 4×l×b

(l - b)² = (12)² - 4×32

(l - b)² = 144 - 128

(l - b)² = 16

(l - b)² = 4

l - b = 4 --------- (3)

Adding equations (1) and (3), we get

l+b+l-b = 12 + 4

2l = 16

l = 8

Now, we put the value of l in equation(1) and we get

8 + b = 12

b =4

Hence, the dimensions of the piece are l = 8 and b =4.

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PLEASE ANSWER WILL MARK BRAINLIEST!!

The table shows the soil density of several soil samples at different depths.

(a) Write the quadratic regression equation that models the data. Let x = depth below the surface
and let y = soil density.
(b) Use the equation to estimate the soil density of a sample at a depth of 20 m. Show your work.

PLEASE ANSWER WILL MARK BRAINLIEST!! The table shows the soil density of several soil samples at different

Answers

Answer:

(a) y = -0.4931x² + 23.3798x + 996.0289

(b) x = 20

y = -0.4931x² + 23.3798x + 996.0289

y = -0.4931(20)² + 23.3798(20) + 996.0289

y = -0.4931(400) + 467.596 + 996.0289

y = -197.24 + 467.596 + 996.0289

y = 1266.3849

Write a system of equations to represent the scenario.
2) Clark and Bruce went to Taco Hut for lunch. Clark bought 4 burritos and 5 tacos, which cost him $6.71. Bru
bought 5 burritos and 3 tacos, which cost him $7.12.

Answers

Answer:

Step-by-step explanation:I need the same answer lol

Answer:

Step-by-step explanation:

Look for factors that will help you determine what type of economy exists in Country A.

Based on the clues in this passage, what type of economy does Country A have?

developed
developing
transitioning
command

Answers

Answer is on quizlet

developing:

a low GDP


an economy based on agriculture

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

find the third, fourth, and fifth terms of the sequence defined by
a1 = 1, a2 = 3,
and
an = (−1)nan − 1 + an − 2
for
n ≥ 3.

Answers

The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.

The sequence is defined by the following formula:

a1 = 1, a2 = 3,

and

an = (-1)nan - 1 + an - 2 for n ≥ 3.

To find the third term (a3), we substitute n = 3 into the formula:

a3 = (-1)(3)(a3 - 1) + a3 - 2.

Next, we simplify the equation:

a3 = -3(a2) + a1.

Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:

a3 = -3(3) + 1.

Simplifying further:

a3 = -9 + 1.

Therefore, the third term (a3) is equal to -8.

To find the fourth term (a4), we substitute n = 4 into the formula:

a4 = (-1)(4)(a4 - 1) + a4 - 2.

Simplifying the equation:

a4 = -4(a3) + a2.

Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:

a4 = -4(-8) + 3.

Simplifying further:

a4 = 32 + 3.

Therefore, the fourth term (a4) is equal to 35.

To find the fifth term (a5), we substitute n = 5 into the formula:

a5 = (-1)(5)(a5 - 1) + a5 - 2.

Simplifying the equation:

a5 = -5(a4) + a3.

Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:

a5 = -5(35) + (-8).

Simplifying further:

a5 = -175 - 8.

Therefore, the fifth term (a5) is equal to -183.

In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.

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Please help me!

For a certain company, the cost for producing x items is 50x + 300 and the revenue for selling x items is 90x - 0.5x^2.

The profit that the company makes is how much it takes in (revenue) minus how much it spend (cost). In economic models, one typically assumes that a company wants to maximize its profit or at least wants to make a profit:
Set up an expression for the profit from producing and selling x items
Find two values of x that will create a profit of $300

Answers

Using the profit concept, we have that:

The expression is: P(x) = -0.5x² + 40x - 300.A profit of $300 is found with x = 20 and x = 60.

What is the profit concept?

Profit is given by revenue subtracted by costs.

In this problem, we have that:

The revenue is: R(x) = 90x - 0.5x².The costs are: C(x) = 50x + 300.

Hence the expression for the profit is given as follows:

P(x) = R(x) - C(x)

P(x) = 90x - 0.5x² - 50x - 300

P(x) = -0.5x² + 40x - 300.

A profit of $300 is found when P(x) = 300, hence:

300 = -0.5x² + 40x - 300

0.5x² - 40x + 600 = 0.

x² - 80x + 1200 = 0.

(x - 60)(x - 20) = 0.

Hence the values are:

x - 60 = 0 -> x = 60.x - 20 = 0 -> x = 20.

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To solve a(b + c) = d for a in 1 step:

Answers

Answer:

a = \(\frac{d}{b+c}\)

Step-by-step explanation:

a(b + c) = d

isolate a by dividing both sides by b + c

a = \(\frac{d}{b+c}\)

Solve by graphing. x2 + 2x – 3 = 0

Answers

By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.

To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.

First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.

We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.

1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:

  0 = x^2 + 2x - 3.

  This quadratic equation can be factored as (x + 3)(x - 1) = 0.

  Therefore, x = -3 or x = 1.

2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.

3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).

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for small changes in temperature, the formula for the expansion of a metal rod under a change in temperature is: g-l=al(t-t), where g is the length of the object at temperature t, and l is the length at temperature t, and a is a constant which depends on the type of metal. a rod is 135 cm long at 115 degrees f and made of a metal with a=10^-3. write an equation giving the length of this rod at temperature t(because a=10^-3 is very small, give an exact answer: do not round expand multiplied numerical products to get rounded decimals).

Answers

Equation giving the length of this rod at temperature is g = 0.000085t + 84.991075 cm.

What is temperature ?

A temperature is a unit used to represent voguishness or coolness on any of a number of scales, including Fahrenheit and Celsius. According to temperature, heat energy will naturally move from a hotter( body with an advanced temperature) to a colder( body with a lower temperature)( one at a lower temperature).

Given that,

Temperature denoted by T

G - L = aL(t - T)

G = aLt +  L(1 - aT)

Slope = aL

Intercept = L(1 - aT)

g = 0.000085t + 84.991075 cm

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help pls I need help

help pls I need help

Answers

-14 is the answer.
Also sorry if it’s wrong

please answer this question​

please answer this question

Answers

The integration of the provided integration expression which is evaluated without using the beta function is equal to 1/1011.

What is integration?

It is the reverse of differentiation. The differentiation is the rate of change of the function with respect to variables.

The integration is given below.

\(\rightarrow \rm \int _0^{\infty} \dfrac{x^{1010}}{(1 +x)^{2022}} \ dx\)

Then the integration can be written as

\(\rightarrow \rm \int _0^{\infty} \dfrac{x^{1010}}{[(1 +x)^{1011}]^2} \ dx\)

Let (1 + x)¹⁰¹¹ = t. Then 1011x¹⁰¹⁰ dx = dt.

Then we have

\(\rightarrow \int_{1}^{\infty } \dfrac{dt}{1011 \ t^2}\)

Then integrate

\(\rightarrow \dfrac{1}{1011} \left [ \dfrac{-1}{t} \right ]_{1}^{\infty }\\\\\\\rightarrow \dfrac{1}{1011} \left [ \dfrac{1}{t} \right ]^{1}_{\infty }\\\\\\\rightarrow \dfrac{1}{1011} \left [ 1- 0 \right ]\\\\\\\rightarrow \dfrac{1}{1011}\)

The integration of the provided integration expression which is evaluated without using the beta function is equal to 1/1011.

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solve the following quadratic equation using the quadratic formula and then choose the correct solution set 8x2-6x+1=0

Answers

Answer:

The solutions to the quadratic equation using the quadratic formula will be:

\(x=\frac{1}{2},\:x=\frac{1}{4}\)

Step-by-step explanation:

Given the equation

\(8x^2-6x+1=0\)

solving with the quadratic formula

\(\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\)

\(x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\)

\(\mathrm{For\:}\quad a=8,\:b=-6,\:c=1\)

\(x_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:8\cdot \:1}}{2\cdot \:8}\)

as

\(\sqrt{\left(-6\right)^2-4\cdot \:8\cdot \:1}=2\)

so

\(x_{1,\:2}=\frac{-\left(-6\right)\pm \:2}{2\cdot \:8}\)

Separating the solution

\(x_1=\frac{-\left(-6\right)+2}{2\cdot \:8},\:x_2=\frac{-\left(-6\right)-2}{2\cdot \:8}\)

solving

\(x_1=\frac{-\left(-6\right)+2}{2\cdot \:\:8}\)

    \(=\frac{6+2}{2\cdot \:8}\)

   \(=\frac{8}{16}\)

   \(=\frac{1}{2}\)

and

\(x_2=\frac{-\left(-6\right)-2}{2\cdot \:8}\)

   \(=\frac{6-2}{2\cdot \:\:\:8}\)

    \(=\frac{4}{16}\)

    \(=\frac{1}{4}\)

Therefore, the solutions to the quadratic equation using the quadratic formula will be:

\(x=\frac{1}{2},\:x=\frac{1}{4}\)

Answer:

1/4 1/2

Step-by-step explanation:

5 The price of a bag of bagels is equal to 0.9 times the number of bagels. Model the price as p, and the number of bagels as n. Which could be the proportional relationship between quantity and price? С c A n = 0.9p B. n = 9.0p C. p = 0.9n c D. p = 9.On 0 O Type here to search

Answers

Let the price of a bag of bagels be P

Let the number of bagels be n

Since we have been told that the price, P is 0.9 times the number of bagels

=> P = 0.9 x n

=> P = 0.9n

A point has been translated left and down. Based on the graph, which could be true? Check all that apply. A is the image of C. A is the image of D. B is the image of D. B is the image of E C is the image of A. C is the image of D. D is the image of E.​ please please hurry with the answers.

Answers

From the image that we have here, the translation of the image would be:

B is the image of D. B is the image of E.C is the image of D.

What is translation in mathematics?

In the field of mathematics, this is the type of transformation which would take points in an image and move it in similar distance and direction.

It has to do with the movement of points in an horizontal manner or in a vertical manner.

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A point has been translated left and down. Based on the graph, which could be true? Check all that apply.

Factor this polynomial expression. X2 – 16 O A. (x - 16)(x - 16) O B. (x + 4)(x – 4) C. (x + 16)(x - 16) D. (x-4)(x - 4)



Answer is: (x+4)(x-4)​

Answers

Answer:

Yeah that's the answer. Nice job

A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table below shows the data:

Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31

Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)

Part B: Write a function which best fits the data. (3 points)

Part C: What does the slope and y-intercept of the plot indicate about the plant? (3 points)

Answers

It would be 9 Hope it helps us

Which statement about the slopes of the functions is true?

Which statement about the slopes of the functions is true?

Answers

Answer:

A or D

Step-by-step explanation:

I'm pretty sure its D

The statement that is true is A

A bicycle has a listed price of $794.95 before tax. if the sales tax rate is 8.75% find the total cost of the bicycle with sales tax included.

round your answer to the nearest cent, as necessary.

Answers

Answer:

Step-by-step explanation:

$794.95(1.0875) = 864.508125 = $864.51

Emma has 16 markers. She gave Jack some, Seven markers are left. How many
markers did Emma give Jack?


Answers

Emma gave Jack 9 markers. 16-7=9
9 markers

msjsjsjs

16-9= 7

what is 20 squared 2 + 6(9 + 3)

Answers

Answer:

\(\sf 872\)

Step-by-step explanation:

Parentheses

\(9 + 3 = 12\)

\(=20^2\cdot \:2+6\cdot \:12\)

Exponents

\(20^2=400\)

\(=400\cdot \:2+6\cdot \:12\)

M/D(Multiply/Div.)

\(6\cdot \:12 = 72\)

\(=800+72\)

A/S(Add/Sub.)

\(800+72=872\)

\(\sf Thus,\\= 872\)

The equation y=195(1.10)x can be used to represent growth in the number of Salad Supreme restaurants since 2005. Which is the most reasonable conclusion based on this information? A. Salad Supreme had 110 restaurants in 2005. B. Salad Supreme is increasing the number of restaurants by 10% each year. C. Salad Supreme is increasing the number of restaurants by 195 each year. D. Salad Supreme is increasing the number of restaurants by 110% each year.

Answers

The most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year. Option B

How to determine the most reasonable conclusion

Based on the given equation y = 195(1.10)^x, where x represents the number of years since 2005 and y represents the number of Salad Supreme restaurants, we can draw the following conclusions:

A. Salad Supreme had 110 restaurants in 2005: This conclusion is not supported by the given equation.

B. Salad Supreme is increasing the number of restaurants by 10% each year: This conclusion is supported by the equation.

C. Salad Supreme is increasing the number of restaurants by 195 each year: This conclusion is not supported by the equation.

D. Salad Supreme is increasing the number of restaurants by 110% each year: This conclusion is not supported by the equation. The growth factor of 1.10 (or 10%) indicates a 10% increase each year, not 110%.

Therefore, the most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year.

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1. Prove ~ (Pvq) <=> (~P^~9).
Algebra of propositional variables
2. P^ q = q^q
P v q = q v p

show that both are commutative

Answers

Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

How to explain the commutative property.

It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property

From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.

In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.

Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

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A bag contains 5 red marbles, 8
green marbles, 6 orange marbles, and
11 yellow marbles. What is the
probability of randomly choosing
an orange marbles

Answers

Answer:

1/5

Step-by-step explanation:

First you need to find the total amount of marbles

5+8+6+11= 30

There are 6 orange marbles

So the probability is 6/30 which reduces to 1/5

Evaluate the expression for x^2×x^1 for x=9​

Answers

Answer:

729

Step-by-step explanation:

x^2*x^1 = (9)^2 * (9)^1

            = (9)^3

            = 729

Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase under her bed, modeled by the function s(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two, and describe any simplification that can be done.

Answers

Answer:

Add both of the function together.

Step-by-step explanation:

s(x) + a(x) = 450 + 6(x - 2)

Answer:

1) The function that represents how the money in her suit case is s(x) = 450

The function that represents the amount she is able to make from baby sitting is a(x) = 6(x - 2)

Given that the values of the two function are the same units, dollars, and the amount are to be put to the same use for spending money for her first year of college, the combination of the two functions is the sum of their values given as follows;

f(x) = s(x) + a(x) = 450 + 6(x - 2)

2) For simplification, we expand the second term and add the constant terms as follows;

f(x) = 450 + 6·x - 12

f(x) = 450 + 6·x - 12

f(x) = 438 + 6·x

The sum of the two terms becomes, f(x) = 438 + 6·x

determine the number of significant figures in the measurement 6.07 m . express your answer numerically as an integer.

Answers

The total number of significant figures ( numerically as an integer ) in the given measurement 6.07 m is equal to 3.

Significant figures are the count of digit present in the given number.Zeros between two non zero digit of the given number is also significant figure.Leading zeros of the number are not considered as significant figure.

Here in the measurement 6.07 m

Zero is in between two non zero digit 6 and 7.

Zero is countable.

Total number of significant figure in 6.07 m is 3.

Therefore, the number of significant figure in the 6.07 m is equal to 3.

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Jack is two years older than bob. If bob is x years old, what is the sum of jacks age and bobs age

Answers

Expression 2(x+1) represents the sum of bob and Jacks age.

What is Expression?

An expression is combination of variables, numbers and operators.

Given,

Bob is x years old,

Jack is two years older than bob=x+2

we need to find the sum of jacks age and bobs age

x plus x plus two

x+x+2

Two times of x plus two

2x+2

Take two as common, two times of x plus one

2(x+1)

Hence expression 2(x+1) represents the sum of bob and Jacks age.

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Line segment BA¯¯¯¯¯¯¯¯ has endpoints B(−3,0) and A(5,4). What are the coordinates of the point located 14 of the way from B to A?

(1,2)
(3,3)
(−1,1)
(1,−1)

Answers

Answer: P'(9, -1), L'(3, 1)

Step-by-step explanation:

I dont have a an explanation but this is the correct answer.

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Having accurate health records is essential;if a record is incomplete,a ____ can be sent to request the required information.In a traditional health record system,_____ may be placed where a file has been removed.____ team may be involved in optimizing the way that information technology is used to manage patient data.HIM professional can support from ____,the professional society for HIM careers. Please help with this spanish homework. I'm really confused Given the domestic demand and supply curves: Pp= 50-Qp and Ps=5+2Q5 . By how much did producer surplus fall given a world price of $29? a) $81 b) $144 c) $225 d) $200 what is it called when a nation conquers and settles another country for its own benefit I need it really quick Genetic abnormalities result in a cluster of distinct characteristics that tend to occur together respective to a given: at this point, the conclusions of studies on the evolutionary interpretations of mating behavior suggest that these behaviors are ____. 25Find the inequality represented by the graph. the place within a replication bubble where replication is actually occurring is called a _____. a client, admitted with a diagnosis of addison disease, is emaciated and reports muscular weakness and fatigue. which disturbed body process would the nurse determine is the root cause of the client's clinical manifestations? The main idea of the second paragraph is that A. dogs shouldn't be punished when they do something wrong. B. positive dog training is beneficial to dogs and owners. C. owners should have a positive relationship with their dogs. D. dogs get rewards for not chasing squirrels or jumping. A company manufactures 16-oz boxes of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in weight is more than 0. 15 oz, the production is stopped. What is the range of acceptable values for production to continue?. he area of a rectangle is 22.5 cm the length is 10.5 the width of the rectangle is ( x+.6)cm what is the width Please look at picture for question. Hydrogen fuel cells combine hydrogen and oxygen to produce water and energy. Assume 1 kg of fuel is used, and the mass of the water produced is 1.10 x 10^-11 kg. How much energy is produced by this fuel cell? What effect does exercise have on cellular respiration?A.) exercise will decrease how much cellular respiration happensB.) exercise does not effect how much cellular respiration happensC.) exercise will increase how much cellular respiration happens What two components contribute to species diversity? Explain how two communities with the same number of species can differ in species diversity. Fractional reserve banking contributes to _____ because banks do not keep enough cash on hand to pay off depositors if they were all to decide to withdraw their deposits at one time. Select the correct answer from each drop-down menu.A candy company designs a package to hold chocolates. The height of the container is 13 inches and the diameter of its bottom is 9 inches.9 in i13 inWhich shape best models the package, and what is the approximate surface area of the package?The best model for the package is aThe approximate surface area issquare inches. Which finding would the nurse identify as normal when assessing the chest of an older adult patient?