Use Exponential Functions

From the table below, determine whether the data shows an exponential function. Explain why or why not.

a. Yes; the domain values are at regular intervals and the range values have a common factor 8.
b. Yes; the domain values are at regular intervals and the range values have a common factor 4.
c. No; the domain values are not at regular intervals.
d. No; the domain values are at regular intervals and the range values have a common factor 4.

Please select the best answer from the choices provided.

Step-by-step explanation:

[tex]5x - 4 {x}^{2} + 3[/tex]

[tex]5(1) - 4 {(1)}^{2} + 3 \\ 5 - 4 + 3 = 4[/tex]

Step-by-step explanation:

Given polynomial

5x - 4x² + 3

put x = 1

→ 5(1) - 4(1)² + 3

→ 5 - 4(1) + 3

→ 5 - 4 + 3

→ 8 - 4

→ 4.

Answer:

9 + y > 28

Step-by-step explanation:

Answer:

9 + y ≤ 27

Hope this helps!

if you need to know the y value, then y ≤ 18

Hope this helps!

I think its G  dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddeddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddeddded

Answer:

an angle with 90 degree is a right angle

Answer:

∠BEC = 119°

Step-by-step explanation:

∠BAC = 47° because it is an alternate interior angle to 47°

∠BEA = 180 - 47 - 72 = 61°

∠DEC = ∠BEA because they are vertical angles

∠BEC = ∠DEA because they are vertical angles

∠BEC + ∠DEA + ∠BEA + ∠DEC = 360°

∠BEC + ∠DEA + 61 + 61 = 360°

∠BEC + ∠DEA = 238°

since ∠BEC = ∠DEA, then ∠BEC = 238/2 = 119°

On solving the provided question, we can say that - the value of the function is = x-5/x + 2 => x= 2  => -3/4

The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.

x-5/x + 2

x= 2

-3/4

ans also  4x² = 4 *2*2 = 16

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Answer: C. 20

Step-by-step explanation:

1 inch is equal to 2.54 cm.

So we have to divide the amount of centimeters given by how many centimeters are in an inch to find how many inches.

50.8 ÷ 2.54 = 20

Hope this helps!!! :)

The number that goes beneath the radical is 7

The Pythagoras theorem is used to find side or angle of a right angled triangle.

If you are dealing with any right triangle with  given sides, using the Pythagorean Theorem, as shown below, makes things relatively simple.

Note that the Pythagorean Theorem: is  a²+b²=c²

a  and b are both the smaller sides of the triangle, while c is the hypotenuse (the longest side of the triangle).

This impies in this case, that  we have 4 equivalent right triangles with given sides  and  for the hypotenuse, so let's see what we need to solve for by writing down what we know in a form following the Pythagorean Theorem.

The Pythagoras Equation is a²+b²=c²

Where  a=3, b =? c=4

Isolate the unknown value without plugging in our known values yet. This step is unnecessary, but can help if you have trouble with making mistakes with your algebra.

a²+b²=c²

⇒b²=c²-a²

a=√(c²-a²)

Plug in our given values and solve for .

a=√(4²-3²)

a=√(16-9)

a=√7

Conclusively, the radical number that goes beneath 7

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Complete question :

The complete question is found on the attachment

Answer:

9. 6.6

10. 6

11. 8.9

Step-by-step explanation:

Pythagorean theorem states that a^2 + b^2 = c^2 where a and b are legs, and c is the hypotenuse (the longest side of the triangle).

For the first one, you're given the leg (3.1 in) and the eg (5.8 in), so you can substitute those into the equation:

a^2 + b^2 = c^2

(3.1)^2 + (5.8)^2 = c^2

Then simplify

9.61 + 33.64 = c^2

43.25 = c^2

To isolate c, take the square root of both sides.

The square root of 43.25 is 6.57647322, but they want you to round it to the nearest tenth, so round it to 6.6

For the second one, you're given one leg length and the hypotenuse.

8^2 + b^2 = 10^2

64 + b^2 = 100

To solve for b, subtract 64 from both sides

b^2 = 36

and take the square root of both sides

b = 6

For the last one, you're given a leg length and the hypotenuse

a^2 + 4.3^2 = 9.9^2

a^2 + 18.49 = 98.01

to isolate a, subtract 18.49 from both sides

a^2 = 79.52

then take the square root of both sides

a = 8.91739872 which rounds to 8.9

Answer:

write 4/27 as the product of a prime raised to a power

Answer:

B

Step-by-step explanation:

The sum of the angle 1, 2 and 3 is 180 degrees , so B is the correct answer, because 70 + 110 = 180

Answer:

b

Step-by-step explanation:

To be honest  i dont know  but u can try to find something like that to help u ?

Answer:

mean of 8,3,5 = 5.333 or 16/3

mean of 44,89,23 = 52

Step-by-step explanation:

Answers and step-by-step explanations:

To find the mean, first, we are going to add all of the numbers, and divide by how many numbers there were. The first data set is:

8, 3, 5

Add them all up:

8 + 3 + 5 = 16

Then, since there were three numbers, we divide 16 by 3.

16/3 = 5.33

Therefore, the mean of 8, 3 and 5 is around 5.33.

The second data set is:

44, 89, 23

Add them up:

44 + 89 + 23 = 156

Then, divide it by how many numbers there were, which is 3.

156/3 = 52

Therefore, the mean of 44, 89 and 23 is 52. Hope this helps!

Answer:

The probability that the chosen song is not a classical song is 92.4%.

Step-by-step explanation:

Given that Suki has 54 rock songs, 92 dance songs and 12 classical songs on her playlist, to determine what is the probability that the chosen song will not be a classical song, the following calculation must be performed:

54 + 92 + 12 = 158

158 - 12 = 146

158 = 100

146 = X

146 x 100/158 = X

14600/158 = X

92.4 = X

Therefore, the probability that the chosen song is not a classical song is 92.4%.

Answer:

92.4

Step-by-step explanation:

Answer:

112 in^2

Step-by-step explanation:

Given data

Length =2in

Width= 4in

Height=8 in

The expression for the total surface area is

SA=2lw+2lh+2hw

SA= 2*2*4+2*2*8+ 2* 4*8

SA= 16+ 32+ 64

SA= 112 in^2

Hence the surface area is 112 in^2

The Lateral area or the total surface area of the prism is 112 [tex]in^{2}[/tex].

The lateral surface area of a rectangular object is the sum of the surface areas of all the sides, which is its total surface area.

According to the question, let us assume,

width w = 2 in

length l = 4 in

height h = 8 in

The lateral surface area is  

S = 2lw + 2lh + 2hw  since the opposite faces have same dimensions

S = 2×4×2 + 2×4×8 +2×2×8

S = 112 [tex]in^{2}[/tex]

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Answer: 174

Step-by-step explanation:

Split into two rectangles, first one has area of 54, other has area of 120. Add

Answer:

[tex]y=2x-3[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (2,1) and (4,5)

[tex]m=\frac{5-1}{4-2}\\m=\frac{4}{2}\\m=2[/tex]

Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex] :

[tex]y=2x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=2x+b[/tex]

Plug in one of the given points and isolate b

[tex]1=2(2)+b\\1=4+b[/tex]

Subtract both sides by 4

[tex]1-4=4+b-4\\-3=b[/tex]

Therefore, the y-intercept of the line is -3. Plug this into [tex]y=2x+b[/tex]:

[tex]y=2x-3[/tex]

I hope this helps!

Answer:

Step-by-step explanation:

Slope formula:

[tex]\sf{\dfrac{Y_2-Y_1}{X_2-X_1}[/tex]

y2=5

y1=1

x2=4

x1=2

Solve.

5-1/4-2

Subtract.

5-1=4

4-2=2

Divide.

4/2=2

The slope is 2.

You have to solve with slope-intercept form.

[tex]\sf{y=mx+b}[/tex]

m represents the slope.

b represents the y-intercept.

y-intercept is -3.

[tex]\sf{\boxed{y=2x-3}[/tex]

So, the correct answer is y=2x-3.

Answer:

B) 1

Step-by-step explanation:

any number (except zero) raised to the zero power is equal to 1

Answer:

32

Step-by-step explanation:

The number to the right of the decimal is higher than 5, meaning you would round up.

Answer:

D

Step-by-step explanation:

Divide and multiply

:)

Answer:

it d

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

add 4 each time

Answer:

34

Step-by-step explanation:

It is in a sequence.

Continue by adding 4 each time

Answer:

2

Step-by-step explanation:

Count how many edges use that vertex as an endpoint. In this case B and E.

Therefore ,We can see that in equation 1 plunk yields the most lorgs at 30. So the plunk coin is the most valuable.

A mathematical statement known as an equation is created by joining two expressions using the equivalent sign. For instance, 5x - 5 = 25 is an equation. We can find that the variable x has a value of 6  by resolving this equation.

Here,

we need to convert everything to the same unit in order to establish a legitimate comparison when comparing units like inches, feet, and yards. Therefore, we would have to convert everything, for example, to inches. For these five coins, the same concept holds true. Either lorgs, sinds, plunks, harps, or dalts must be used for everything (pick one of those five).

It's equivalent to attempting to change a dollar amount into cents (for example, $1.37 becomes 137 cents). The alternative is to think about it as 1 dollar = 100 cents, 1 quarter = 25 cents, 1 dime = 10 cents, and so on.

The procedures in the various parts below are designed to convert all coinage to lorgs, which will serve as our base unit. Trial and error led me to the conclusion that the lorg coin had the lowest worth, thus I'm striving to obtain everything in lorgs.

The four equations provided are

4 lorgs to a sind

5 dalts x 2 plunks

2 harps from 5 sinds.

3 harps equal 1 plunk.

In that order, I'll refer to them as equations (1) through (4).

One sind equals four logs (1)

5 sinds = 20 lorgs; add 5 to both sides.

2 harps = 20 lorgs; in the equation, swap out "5 sinds" with "2 harps" (3)

1 harp = 10 lorgs; multiply both sides by 2, then write this as an equation (5)

Equation: 1 plunk = 30 lorgs (6)

Each of those equations enables us to determine the lorg value of the coins sind, dalt, harp, and plunk.

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The complete question is : " A nation has five types of coins: sinds, dalts, lorgs, harps, and plunks.1 sind = 4 lorgs ,2 plunks = 5 dalts ,5 sinds = 2 harps , 1 plunk = 3 harps Which coin is the most valuable? a) sindb) daltc) harpd) plunk"

On solving the provided question we can say that the it will 4 hrs to walk all the way around the crater, on doing the radius.

The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle. Diameter

here,

D= 1

r = 1/2 = .5

A = 40

T = 40/10 4 hrs.

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The requried, Mark will have paid a total of $34,389.55 after 5 years. The answer is option E, $34,389.55.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

We can use the formula for compound interest to find the total amount Mark will have paid after 5 years:

[tex]A = P(1 + r/n)^{(nt)}[/tex]

where A is the total amount paid, P is the principal (the original loan amount), r is the annual interest rate (as a decimal), n is the number of times per year the interest is compounded, and t is the time in years.

In this case, we have:

P = $25,690

r = 0.052 (5.2% expressed as a decimal)

n = 12 (compounded monthly)

t = 5

Substituting these values into the formula, we get:

[tex]A = $25,690(1 + 0.052/12)^{(12*5)}[/tex]

A = $34,389.55

Therefore, Mark will have paid a total of $34,389.55 after 5 years. The answer is closest to option E, $34,389.55.

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Answer:

1072.33 cm^3

Step-by-step explanation:

formula

(2/3)*pi*(r)^3

Answer:

um-

Step-by-step explanation:

Answer:

I hope this helps. Do let me know if you have any doubts and wish me luck I have my maths exams tomorrow!