Which of the following is an example of an exponential function?

f(x) = 4x^3 + 2x^2 – 3x + 9
g(x) = log2(x)^3
h of x equals the quantity x squared plus 2x minus 7 end quantity divided by the quantity x plus 1
p(x) = 500(1.02)^x

Answers

Answer 1

Answer:

p(x) = 500(1.02)^x

Step-by-step explanation:

I took the test and got a 100.

Answer 2

The exponential function is p(x) = 500(1.02)×, option (D) is correct.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]

where a is a constant and a>1

We have the functions given in the options:

As we know the standard form of the exponential function is:

f(x) = a(b)×

The exponential function will increase or decrease exponentially.

From the option:

p(x) = 500(1.02)×

p(x) is an exponential function.

Thus, the exponential function is p(x) = 500(1.02)×, option (D) is correct.

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Related Questions

Find HK using proportions and Pythagorean theorem

Answers

Check the picture below.

can you please help me i give you extra pointss

Answers

Answer:

(2,-2), (4,-2), (1,-4), (6,-4)

The area of the circle above is 200.96 units? What is the circumference of the circle? Use a = 3.14.
Circumference = 2777
Area = 792
A. 50.24 units
B. 25.12 units
C. 100.48 units
D. 66.99 units

Answers

Answer:

50.24

Step-by-step explanation:

Area = 200.96

Let's find the raidus from the area formula.

200.96 =  π · r^2

Divide both sides by  π !

64 = r^2

square root both sides

r = 8.

Now since we know the raidus we can find the circumferewnce.

-

c=2πr

c=2*3.14*8

c= 50.24

What is the answer to this question ?

Answers

Answer:

[tex]10x^{3}+x^{2} -1[/tex]

Step-by-step explanation:

Standard form means firstly you will combine like terms (which the problem has already done) and then rewrite the polynomial from greatest power to least power.

We have three separate parts to this polynomial:

-1 [tex]10x^{3}[/tex][tex]x^{2}[/tex]

The part that has the greatest power is [tex]10x^{3}[/tex]. This is because the x is multiplied by a power of 3, which is the largest power given. Next up would be [tex]x^{2}[/tex]. Finally, -1 would come last.

Thus, the rewritten equation should look like this:

[tex]10x^{3}+x^{2} -1[/tex]

I hope this helps! If you have any questions about my work feel free to ask down in the comments!


Which is the length of side AD?

A.1 unit
B.4 units
C.5 units
D.6 units
х
-4
-2
2
4
А
B
-2
-4
D
с

Answers

Answer:

C. 5 units

Step-by-step explanation:

What is the exact value of sin 11pi/6 radians?

Answers

Answer:

-0.5.

Step-by-step explanation:

2pi - 11pi/6 = pi/6

so the angle is in the fourth quadrant  where the sine is negative.

pi/6 = 30 degrees and we know form the 30-60-90 triangle that sin 30 = 0.5,

therefore sin pi/6 = 0.5

and sin 11pi/6 = -0.5

The exact value of sin(11π/6) radians is -1/2 by using unit circle

To find the exact value of sin(11π/6) radians, we can use the unit circle and trigonometric identities.

The angle 11π/6 radians is in the third quadrant of the unit circle.

In the third quadrant, the sine function is negative.

We can find the reference angle by subtracting 2π (or 12π/6) from the given angle:

11π/6 - 12π/6 = -π/6

The reference angle is -π/6 radians.

In the unit circle, the coordinates for the angle -π/6 are (√3/2, -1/2). The y-coordinate represents the value of sine.

Therefore, the exact value of sin(11π/6) radians is -1/2.

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Express the d= rt in terms of the time, t. Use the formula to find the time when the distance is 40 and the rate is 8.

Answers

Answer:

5

Step-by-step explanation:

Divide the expression by r on both times; d/r=rt/r. You'll remain with t=d/r.

then substitute t=40/8 which equals to 5.

Ai Mi just started a running plan where she runs 12 miles the first week and then increases the number of miles she runs by 5% each week. If she keeps up this plan for 12 weeks, how many total miles would Ai Mi have run, to the nearest whole number?

Answers

Answer:

267 miles

please vote me brainliest. Thank you.

At the end of 12 weeks, Ai Mi has run 22 miles.

As mentioned in the question, Ai Mi just started a running plan where she runs 12 miles the first week and then increases the number of miles she runs by 5% each week.

What is an exponential function?

The function which is in format f(x) =a^x  where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

here,
Let the total run be x, for 12 weeks
According to the question,

x = 12×(1 + 5%/100)¹²
x = 12(1.05)¹²
x = 21.55
x ≈ 22 miles


Thus, At the end of 12 weeks, Ai Mi has run 22 miles.

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Pls help me with this! Thank you! God bless you

Answers

Answer:

10) 5.34

11) 2 pack tooth pastes are more expensive

12) Neil

13) 300cm

14) 15cm

15) 448cm

16) 17cm = 170mm

5km = 5000m

17) 20cm = 200mm

Step-by-step explanation:

put as brainliest please

I already put explanation in answer

Answer:

10. $6.28

11. You can see that the 2-pack of toothpaste is more expensive.

12. Neil had more hair cut off, 2.53 > 2.35.

13. 300 centimeters.

14. The ceiling in the hall is 15 centimeters taller than the one in the classroom.

15. 112 centimeters.

16. 5 meters = 500 millimeters

     5 kilometers = 5,000 meters

     17 centimeters = 170 millimeters

17. 5 meters = 5,000 millimeters

     20 centimeters = 200 millimeters

Step-by-step explanation:

10. 2.88 + 2.88 + 0.52 = 6.28

11. Already explained

12. Already explained

13. 1 meter is 100 times a centimeter.

14. 1 meter is 100 times a centimeter.

15. Half of 56 is 28. 4 times 28 is 112.

16. 1 meter is 1000 times a millimeter, 1 kilometer is 1000 times a meter, and 1 centimeter is 10 times a millimeter.

17. 1 centimeter is 10 times a millimeter, and 1 meter is 1000 times a millimeter.

All trapezoids are also_____________________. a. squares c. rectangles b. parallelograms d. quadrilaterals

Answers

Answer:

The answer is D.  quadrilaterals

Step-by-step explanation:

All trapezoids are squares. If a shape is a square, then it is also a rectangle and a rhombus. A trapezoid is a quadrilateral with exactly one set of parallel sides

63. 26 Which expressions are equal to 23 ? 123 126 26 . 33 23 33​

Answers

Hey there!

(6^3 * 2^6) / 2^3

= (6 * 6 * 6 * 2 * 2 * 2 * 2 * 2 * 2) / 2 * 2 * 2

= (36 * 6 * 4 * 4 * 4) / 4 * 2

= (216 * 16 * 4) / 8
= 3,456 * 4 / 8

= 13,824 / 8

= 1,728


Looking for something that gives you the result of: 1,728


Option A.
12^3

= 12 * 12 * 12

= 144 * 12

= 1,728

Option A. is. possible answer


Option B.
6^3

= 6 * 6 * 6

= 36 * 6

= 216

216 ≠ 1,728

Option B. is incorrect


Option C.
12^6

= 12 * 12 * 12 * 12 * 12 * 12

= 144 * 144 * 144

= 20,736 * 144

= 2,985,984

2,985,984 ≠ 1,728

Option C. is also incorrect


Option D.
2^6 * 2^3

= 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

= 4 * 4 * 4 * 4 * 2

= 16 * 16 * 2

= 256 * 2

= 512
512 ≠ 1,728

Option D. is also incorrect

Option E.
2^3 * 3^3

= 2 * 2 * 2 * 3 * 3 * 3

= 4 * 2 * 9 * 3

= 8 * 27

= 216

216 ≠ 1,728

Option E. is also incorrect.


Therefore, the answer should be:

Option A. 12^3



Good luck on your assignment & enjoy your day!



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Answers

Answer:

52

Step-by-step explanation:

180-128

Answer:

the answer is 28 degrees

Step-by-step explanation:

all you do is subtract 180-128 since this is a supplementary angle and not a complimentary one.

20. Which of the following shows the inverse of {0, 4), (5,-2), (-1,8), (2,5)}?

O {(0,-4), (-5, 2), (1,-8)(-2,-5)}
O {0,4), (-5, -2), (1,8), (-2,5)}
O {(4,0), (-2,5), (8,-1), (5, 2)}
O {(0,-4), (5,2), (-1,-8), (2,-5)}

Answers

Answer:

4,0), (-2,5), (8,-1), (5, 2)}

Translate the sentence into an equation.

Nine less then the product of 5 and a number equals 7.

Use the variable x for the unknown number.

Answers

Answer:

9 - 5x = 7

Step-by-step explanation:

Nine (9) less (-) then the product (*) of 5*x, equals (=) to 7

9 - 5x = 7

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. What is C?

Answers

Answer:

C is 6.3

Step-by-step explanation:

We can apply the pythagorean theorum to find C.

A is 2, B is 6

A^2 + B^2 = C^2

2^2 + 6^2 = C^2

C^2 = 40

C = 6.32455532

Congruent yes or no
Congruent? _______
If so, what property? ________

Answers

Answer:

Step-by-step explanation:

Congruent by SSS  ( three sides are equal in length).

The rectangle has an area 125 square inches find the length and width

Answers

Answer:

1 and 125, 5 and 25

Step-by-step explanation:

Any two numbers that multiply to 125 could be considered as the length and width. Because the formula is: A=wl.

You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1.5 feet, and the height will be 20 inches.

Part A
Find the volume of the fish tank in cubic inches.

The volume is
cubic inches.

Part B
Your math teacher tells you that your fish tank will have a capacity of about 976 cups. You have a total of 30 tropical fish. For them to flourish in a fish tank, there needs to be an average of 2 gallons of water for each fish.

Convert 976 cups to gallons.

976 cups equals
gallons.

Answers

Answer:

  A. 14040 cubic inches

  B. 61 gallons

Step-by-step explanation:

The volume of a cuboid is given by the formula ...

  V = LWH

__

A.

One yard is 36 inches, so 1 yard 3 inches is 36 +3 = 39 inches.

One foot is 12 inches, so 1.5 ft = 1.5×12 = 18 inches.

The volume of the fish tank is ...

  V = (39 in)(18 in)(20 in) = 14,040 in³

The volume is 14,040 cubic inches.

__

B.

One gallon is 16 cups, so 976 cups is 976/16 = 61 gallons.

976 cups equals 61 gallons.

_____

Additional comment

One gallon is 231 cubic inches, so the volume of the tank is actually about 972 cups, or 60.8 gallons.

pls help i will mark brainlyest

Answers

Answer:

∠b=82°

Step-by-step explanation:

143°=∠c+∠b (exterior angle property)

143°=61°+∠b

∠b=143-61

∠b=82°

find the distance between (5,5) and (8,1)

Answers

Answer:

5

Step-by-step explanation:

Imagine a triangle with two of the corner points being the points (5,5) and (8,1)

The length and width would be 3 and 4 to find the hypotenuse (distance) do

3^2+4^2=x^2

9+16=x^2

25=x^2

x=5

[tex]here \: is \: your \: answer...[/tex]

Step-by-step explanation:

Let (x1,y1) = (5,5) and (x2,y2) = (8,1)

By using distance formula,

[tex]d \: = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

[tex]d = \sqrt{ {(8 - 5)}^{2} + {(1 - 5)}^{2} } [/tex]

[tex]d = \sqrt{ {(3)}^{2} + {( - 4)}^{2} } [/tex]

[tex]d = \sqrt{9 + 16} [/tex]

[tex]d = \sqrt{25} [/tex]

[tex]d = 5 \: units[/tex]

Therefore, the distance between (5,5) and (8,1) is 5 units

Cam's Cupboard grocery store is having a sale on canned goods. Tiana decides to stock up
and purchases 12 cans of soup. During the sale, cans of soup sell for $0.55 les than full
price. Tiana pays a total of $13.20 for the cans of soup.
Which equation can you use to find the amount, f, each can of soup costs at full price?
0.55(f - 12) = 13.20
12(f - 0.55) = 13.20
0.55f - 12 = 13.20
12f - 0.55 = 13.20
How much does each can of soup cost at full price?
$

Answers

Answer:

1.65

Step-by-step explanation:

equation will be 12(f−0.55)=13.20

12f−6.6=13.20

12f = 19.8

f = 19.8/12 = 1.65

So, each can of soup at full price is $1.65.

A long distance race begins with 28 runners from Team A and 28 runners from Team B. 4 runners from Team A and 12 runners from Team B do not finish the race. What percentage of the runners who finish the race are from Team B?

Answers

The percentage of the runner from team B that finishes the race is 21.4%

How to find the percentage that finish the race from team B?

Team A and Team ran a race. Team A had 28 runners and Team B also had 28 runners.

4 runners from team A finishes the race while 12 runners from team B finishes the race.

Therefore, the percentage from team B that finishes the race can be calculated as follows.

percentage from team B that finishes = 12 / 56 × 100

percentage from team B that finishes = 1200 / 56

percentage from team B that finishes = 21.4285714286

percentage from team B that finishes = 21.4%

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HELP ITS DUE IN 20 MINUTESSSS

Answers

Answer:

first you have to order the numbers

8, 10, 13, 18, 23, 25, 26, 30

Median is between 18 and 23 so we add them then divide the sum by 2

Median: (18 + 23)/2 = 20.5

First Quartile is between 10 and 13 so we add them then divide the sum by 2

First Quartile: (10 + 13)/2 = 11.5

Third Quartile is between 25 and 26 so we add them then divide the sum by 2

Third quartile: (25 + 26)/2 = 25.5

Range: 30 - 8 = 22

Sorry I don't know how to draw a diagram on brainly

Pls help me with this math equation

For F(x)=3x+4 and g(x)= x^2-3x, find g(f(x)).

Answers

Answer:

g(f(x)) = 9x² + 15x + 4

Step-by-step explanation:

Given :

⇒ f(x) = 3x + 4

⇒ g(x) = x² - 3x

=============================================================

Solving :

⇒ g(f(x))

⇒ g(3x + 4) = (3x + 4)² - 3(3x + 4)

⇒ g(3x + 4) = (3x)² + 2(3x)(4) + (4)² - 9x - 12

⇒ g(3x + 4) = 9x² + 24x + 16 - 9x - 12

g(f(x)) = 9x² + 15x + 4

What is the solution of the system below?
x + 2y = 4
y=-2x - 1

Answers

Answer:Point form is (-2,3)

Equation form is x=-2y=3

Step-by-step explanation:

help pleaseeee explain too if you can

Answers

Answer:

x=10

y=[tex]10\sqrt{3}[/tex]

Step-by-step explanation:

Since there is a 30 degree angle, it is a special right triangle, 30 60 90 triangle. The shorter leg represents "a," the longer leg represents "a√3", and the hypotenuse represents 2a.

The triangle has a hypotenuse of 20 and we are trying to find x and y. x=10 because x is the opposite side of 30 degrees and x is half of the hypotenuse. y=[tex]10\sqrt{3}[/tex] because we already know the x value and y is opposite of 60 degrees. As mentioned before, the longer leg represents a√3.

Hope this helps and have a good day.  

The sum of twice a number and 4 times another number is 4. The first number decreased by the
econd number is 5. Find the numbers.

Answers

Answer:

4 and -1

Step-by-step explanation:

Let :

First number = xSecond number = y

Equations formed :

2x + 4y = 4 ⇒ x + 2y = 2x - y = 5

Subtract : Equation 1 - Equation 2

x + 2y - x + y = 2 - 53y = -3y = -1

x - (-1) = 5x + 1 = 5x = 4

The numbers are : 4 and -1

The sum of two numbers is -24. if one of them is -12, find the other number.

Answers

Answer:

-12

Step-by-step explanation:

Answer:

let the unknown number be 'x'

x + (-12) = -24

x = -24+12

x = -12

What is the definition of a narrator?
A. The person who reads the story
B. The person who says all the dialogue
C. The person who writes the story
D. The person who tells the story

Answers

I am pretty sure it is D but if i’m wrong sorry

Answer:

D. The person who tells the story

Step-by-step explanation:

The narrator is the person telling the story, or the voice that an author takes on to tell a story.

The person who reads the story is simply a reader. They aren't narrating.
Someone who says all of the dialouge isn't a narrator either, because only saying the dialouge excludes the rest of the story. It's not telling the story.
The person who writes the story is the author, not the narrator.

Therefore, option D makes the most sense.

hope this helps!

What is 163.28 + 75.459 = ​

Answers

The expression 163.28 + 75.459 is a sum expression, and the result of 163.28 + 75.459 is 238.739

How to solve the expression?

The expression is given as:

163.28 + 75.459

The expression is best solved using a calculator.

However, in the absence of a calculator, the following steps can be applied.

Expand each term

163.28 + 75.459 = 163 + 0.28 + 75 + 0.459

Reorder the terms

163.28 + 75.459 = 163 + 75+ 0.28  + 0.459

Add the decimals and integers

163.28 + 75.459 = 238.739

Hence, the result of 163.28 + 75.459 is 238.739

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