which situations described can be modeled by an exponential function?

A. car rental for $38 plus $0.40 mile driven
B. bacteria colony of 5,000 triples every 60 minutes
C. city with a population of 20,000 doubles every 8 years.
D. amusement park membership that costs $40 and then just $5 per visit​

Answers

Answer 1

Answer:

I did this exact same question on USATestPrep and here's what I answered that I got correct:

B, C and this one isn't an answer choice but the additional answer was: "1,000 grams of radioactive material with a half-life of 6 hours."

Hope this helps! I'm sorry if it doesn't help future people who sees this :/

Answer 2

The situations described can be modeled by an exponential function will be options B and C.

What is an exponent?

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

Let's check all the options, then we have

A. Car rental for $38 plus $0.40 mile driven, it is an example of a linear function.

B. Bacteria colony of 5,000 triples every 60 minutes, it is an example of an exponential function.

C. City with a population of 20,000 doubles every 8 years, it is an example of an exponential function.

D. Amusement park membership costs $40 and then just $5 per visit​, it is an example of a linear function.

The situations described can be modeled by an exponential function will be options B and C.

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Related Questions

Which of these graphs represents a function

Answers

Answer: C.

Explanation: A function only has one y value for every x value. This means that an x cannot have more than one y value. You can do the vertical line test on graphs to figure out if it is a function or not. In this case, graph C is the only one that passes the vertical line test.

is (1,3) a solution of the graphed inequality, y=5/2x-3?

Answers

Answer:

Yes

Step-by-step Explanation:

The image below shows proof that the point (1,3) is part of the inequality y>5/2x-3

Hope this helps! :)

Solve the exponential equation for x
64^7x-8 = 1

Answers

X=9/64^7

Hope this helps

Answer:

2.4 x 10^-12

Step-by-step explanation:

that is the explanation for the question

A red hot air balloon is at an altitude of 260 feet above the ground. It is descending at a rate of 9 feet per minute. A green hot air balloon is at an altitude of 75 feet and is ascending at a rate of 7 feet per minute. Which inequality represents the number of minutes it will take for the green hot air balloon to have a greater altitude than the red hot air balloon?

Answers

Answer:

To solve this problem you must follow the steps below:

1. The problem says that:

- The hot air balloon is at an altitude of 240 feet.

- It descends at 30 feet per minute.

2. Therefore, you have:

x: the time in minutes.

y: the altitute in feet.

3. Keeping all this information on mind, you can write the following equation:

y=240-30x

4. Therefore, as you can see, the answer is:

y=240-30x

Step-by-step explanation: Hope this helps plz mark brainliest

Answer:

y=240-30x

Step-by-step explanation:

2m divided by 3/9; m = 3/2

Answers

Answer:

Not completely sure but I think 9

Step-by-step explanation:

In order to solve this equation, you would need to first multiply m by 2 to get 2 m. 3/2=1.5; 1.5*2 =3. 3/9 simplifies to 1/3

Then you would want to solve. So, you would need to divide 2 by 1/3 which would give you 9.

2x-5=3

This equation has…
a) two distinct rational solutions c) one distinct real solution
b) two distinct irrational solutions d) no real solutions

Answers

Answer:

I am pretty sure it would be c

Step-by-step explanation:

Answer:

The correct answer is True because the solutions of the quadratic equation in the standard form

Choose the correct graph of the function y = x +1

Answers

Answer:

No answer

Step-by-step explanation:

y=x+1 is a LINE

HELPMEPLZZZZZ!!!
23. Solve the equation: 7x−3+2x = −x+87 Answer:
24. 3x−2=4x+1 353
a. x = 1 1 33
b. x = 3 4 21
c. x = 2 7 31
d. x = 2 2 11
25. x
= 2(3x+1) 18 9
a. x=−35


b . x = − 59
c. x=−25
d. x = − 4 11
I need all the answers pls!,!!!
Ignore the boxes.
You’ll be my bestie if y’all help

Answers

The answer is x=9 that what I got when u did it

please help me with geometry it is due in one hour

Answers

Answer:

7

Step-by-step explanation:

7 x 4 = 28 - 5 = 23

7 + 16 = 23

A pitcher contains 41/2 pints of iced tea. How many fluid ounces of iced tea are in the pitcher?

Answers

Answer:

72 ounces

Step-by-step explanation:

1 pint = 16 ounces

4.5 pints* 16 ounces = 72 ounces

*4.5=4 1/2

Help ASAP! Will give brainliest if correct. aa god pls be correct

Answers

Answer:

Option D: [tex]\frac{3}{2}[/tex] is the correct answer.

Step-by-step explanation:

Given points are:

P(-8,5) and Q(-2,1)

Slope is the steepness of a straight line.

We will find slope of PQ

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{1-5}{-2-(-8)\\m=\frac{-4}{-2+8}\\m=\frac{-4}{6}\\m=\frac{-2}{3}[/tex]

The product of slopes of two perpendicular lines is equal to -1.

Let,

x be the slope of other line.

m.x = -1

[tex]\frac{-2}{3}x=-1\\x=\frac{3}{2}[/tex]

Therefore,

The slope of a line perpendicular to the line PQ is [tex]\frac{3}{2}[/tex].

Hence,

Option D: [tex]\frac{3}{2}[/tex] is the correct answer.

Solve the system using elimination.
2x + 3y = -2
3x - 6y = 18

Answers

Answer:

x= 2 y= -2

(2, -2)

I hope this helps you!

The solutions to the equation is

The value of x = 2

The value of y = -2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be A

The value of A is

2x + 3y = -2   be equation (1)

Let the second equation be B

The value of B is

3x - 6y = 18   be equation (2)

Now , on simplifying the equation , we get

Multiply equation (1) by 3 , we get

6x + 9y = -6   be equation (3)

Multiply equation (2) by 2 , we get

6x - 12y = 36   be equation (4)

Subtracting equations (3) and equation (4) , we get

21y = -42

Divide by 21 on both sides of the equation , we get

y = -2

Substitute the value of y in equation (1) , we get

2x + 3 ( -2 ) = -2

2x - 6 = -2

Adding 6 on both sides of the equation , we get

2x = 4

Divide by 2 on both sides of the equation , we get

x = 2

Therefore , the value of x and y is 2 and -2 respectively

Hence , the solutions to the equations is x = 2 and y = -2

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Simplify 4(x - 3) - 2x + 9.
O A. -4x + 24
O B. 6x + 3
O C. 2x-3
О D. 2x + 6

Answers

Answer:

c. 2x-3

Step-by-step explanation:

factor the 4 into the parenthesis. To do this you multiply 4 by x and then -3. This will give you 4x-12-2x+9. combine like terms and you get 2x-3

Answer:

O C. 2x-3

Step-by-step explanation:

Valgo a la derecha, a la izquierda nada. ¿Quién dice esto?

Answers

Answer:

Nadie me ama a la izquierda

a la derecha quien puede verme!

Por un lado no entro ni salgo,

pero en el otro bien que valgo

Solución:

El cero.

Step-by-step explanation:

The sides of a Right Angled Triangle: 18cm, 14cm, and 17cm.
Find the area of the triangle if the height is 14cm.



Sorry if the question is confusing. That's how it was giving to me​

Answers

I’m not sure but I hope this helps

2 - (3x – 4) = 2x – 9​

Answers

Answer:

2 - (3x – 4) = 2x – 9​

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2−(3x−4)=2x−9

2+−1(3x−4)=2x−9(Distribute the Negative Sign)

2+−1(3x)+(−1)(−4)=2x−9

2+−3x+4=2x−9

2+−3x+4=2x+−9

(−3x)+(2+4)=2x−9(Combine Like Terms)

−3x+6=2x−9

−3x+6=2x−9

Step 2: Subtract 2x from both sides.

−3x+6−2x=2x−9−2x

−5x+6=−9

Step 3: Subtract 6 from both sides.

−5x+6−6=−9−6

−5x=−15

Step 4: Divide both sides by -5.

−5x

−5

= −15

−5

x=3

evaluate mathematical problem for one by two
[tex] 1000 \times 10[/tex]

Answers

1000*10

Multiply values together

10000
1000*10=10000. Just add 1 zero to the back because 10 has 1 zero.

PLSSS HELP I NEED THE RIGHT ANSWER I WILL GIVE BRAINLY

Answers

Answer:

y=-4/3x-1

Step-by-step explanation:

(-3,-5) (0,-1)

m = -1 + 5/0+3

The line is negative so the slope is negative

Slope = -4/3

Y-intercept = -1

WATCH YOUR SIGNS.

Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x overbarequals103.26​, y overbarequals102.05​, requals0.897​, ​P-valueequals​0.000, and ModifyingAbove y with caret equals negative 13.47 plus 1.12 x​, where x represents the IQ score of the twin born first. Find the best predicted value of ModifyingAbove y with caret given that the twin born first has an IQ of 105​? Use a significance level of 0.05.

Answers

Answer

The  value is  [tex]P = 131.07[/tex]

Step -by -step -explanation :

 From the question we are old that

         The sample size is  n =  20  

         The sample mean for the first person of each twin is  [tex]\= x = 100.45[/tex]

         The sample mean for the second person of each twin is  [tex]\= y = 103[/tex]

          The  correlation between both data is  r =  0.908

         The p-value is  p-value  =  0.000

          The  equation  [tex]\^ y = 13.47 + 1.12 x[/tex]

         

Here we are told that x represents  the first person to be given birth to among each twin  

       The value of x  considered is  x = 105

          Generally given that p-value  =  0.000

Then  the  Predicted value of  [tex]\^ y[/tex]  is mathematically represented as

           [tex]P = 13.47 + 1.12 (105)[/tex]

=>         [tex]P = 131.07[/tex]

           

write a subtraction equation that equals -4 and includes a number divisible by 7 and a number divisible by 2​

Answers

-28-(-24)=-4

14-18=-4

28-32=-4

Any of these should work and there are plenty more that would work as well

1) Arthur wants to remodel his home by building a pool in the backyard.
Which term best describes the tax that will be affected by the pool addition?

A) Payroll tax
B) Income tax
C) Property tax
D) Sale tax​

Answers

Answer:

c

Step-by-step explanation:

he wanted to build a pool on his property therfore property tax.

sometimes u have to pay to add something to your property so that makes property tax.

1. What is the result when x4 – 4x3 – 5x2 + 5x – 12 is divided by x + 2?

Answers

Answer:dsafasdfasdf

dasdasdasdasdasdasdasdfasdfasdfasdf

Step-by-step explanation:

sadasdasdasdasdasdsadfasdfasf

the answer is in the picture below

hey guys

what is 10+12-34+68-4778855+5676+77-6865666+3456-7658×45×23+35566÷79997 = ?​

Answers

Answer:

-19561285.5554

Step-by-step explanation:

Answer:

-19561285.5554

Which equation shows how to use equivalent fractions to evaluate 5/8 - 3/10

Answers

Answer:

I don't know the options, but you would find the lowest common denominator as possible, in this case it's 40. so, you figure out how you get from the original denominator to the common one, and then do the exact same thing to the numerators.

[tex]\frac{5}{8} =\frac{25}{40}[/tex] and [tex]\frac{3}{10} = \frac{12}{40}[/tex]

and then take the two new fractions and subtract the numerators to get what the answer is:

[tex]\frac{25}{40} - \frac{12}{40} = \frac{13}{40}[/tex]= 0.325

normally you would simplify, but this fraction is already in it's simplest form. so you could convert to a decimal, but only if the directions say to.

Anybody know the anwser

Answers

Answer:

A 3 goes in the parentheses. The expression evaluates to 59.

Step-by-step explanation:

b = 3

2b^3 + 5 =

= 2(3)^3 + 5

= 2 * (3 * 3 * 3) + 5

= 2 * 27 + 5

= 54 + 5

= 59

Peter bought 3 pieces of candy for $0.75. What was the unit price for each piece of candy?

Answers

Answer:

hi! your unit price for each piece of candy is 0.25 cents a piece look below for an explanation!

Step-by-step explanation:

ok so to find the unit price you are going to divide and once you do it is 25 cents!

hope this helps! may i plz have brainliest?

There are two researched formulas to find a
maximum heart rate m in terms of age a.
• m = 220 - a
• m = 206 - (0.88 x a)


Answers

Answer:

hi

Step-by-step explanation:

F(x)=4x+2 and g(x)=4(x−9)+2. What transformation occurs from function f to function g? a translation 9 units right a horizontal compression by a factor of 9 a horizontal stretch by a factor of 9 a translation 9 units down

Answers

Answer:

A translation 9 units right

Step-by-step explanation:

Given

[tex]f(x) = 4x + 2[/tex]

[tex]g(x) = 4(x -9)+ 2[/tex]

Required

Translation of f(x) to g(x)

To do this, we take the options one after the other.

A translation 9 units right

When an original function f(x) is translated to the right by h points, the resulting function g(x) is

[tex]g(x) = f(x - h)[/tex]

So, we have that:

[tex]f(x) = 4x + 2[/tex]

When translated to the right by 9 points,

[tex]g(x) = 4(x - 9) + 2[/tex]

Hence, option A answers the question

what binomials are
multiplied together to equal x2+4x+4?

Answers

Answer:

(x+2) (x+2)

Step-by-step explanation:

x2+ (2+2)x + 4

x2 + 2x + 2x + 4

x(x+2) + 2(x + 2)

(x+2) (x+2)

Write an equation that represents the transformations formed by the following items:


(a) horizontally shifting the graph 4 units to the left of f(x) = √x and then vertically compression by a factor of 1/3

(b) vertically stretching the graph by a factor of 4 of f(x) = √x and then vertically shifting the graph 3 units up

(c) horizontally stretching the graph of f(x) = √x by a factor of 2 and then vertically shifting the graph 6 units down

Answers

Answer:

a) [tex]f(x) = \frac{1}{3} \sqrt{x+4}[/tex]

b) [tex]f(x)=4\sqrt{x} + 3[/tex]

c) [tex]f(x) = 2\sqrt{x} -6[/tex]

Step-by-step explanation:

a) The function will be;

⇒ f (x) = 1/3 √(x + 4)

b) The function will be;

⇒ f (x) = 4√x + 3

c) The function will be;

⇒ f (x) = 2√x - 6

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

There are some transformations are given.

Now,

For (a);

The function is horizontally shifting the graph 4 units to the left of

f(x) = √x.

So, The function become;

f (x) = √(x + 4)

And, Then vertically compression by a factor of 1/3.

So, The function become;

f (x) = 1/3 √(x + 4)

For b:

The function is vertically stretching the graph by a factor of 4 of f(x) = √x.

So, The function become;

f (x) = √x + 3

And, Then vertically shifting the graph 3 units up.

So, The function will be;

⇒ f (x) = 4√x + 3

For c;

The function is horizontally stretching the graph of f(x) = √x by a factor of 2.

So, The function become;

f (x) = 2√x

And, Then vertically shifting the graph 6 units down.

So, The function will be;

⇒ f (x) = 2√x - 6

Thus,

a) The function will be;

⇒ f (x) = 1/3 √(x + 4)

b) The function will be;

⇒ f (x) = 4√x + 3

c) The function will be;

⇒ f (x) = 2√x - 6

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,

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