Equation of Exponential Functions

The table of values below represent an exponential function.
Write an exponential equation that models the data.

a. y = 11.76(1.3)× c. y = 11.76(0.7)×
b. y = 24(07)× d. y = 16.8(1.7)×

Please select the best answer from the choices provided.

Equation Of Exponential FunctionsThe Table Of Values Below Represent An Exponential Function.Write An

Answers

Answer 1

Answer:

C. y = 11.76(0.7)×

Step-by-step explanation:

I calculated it logically

Answer 2

The exponential equation that models the data is  y = 16.8×1.7ˣ.

What is a function?

A relation is a function if it has only One y-value for each x-value.

y = a.rˣ is the exponential function.

We can see that the y-values are decreasing, which means that the growth factor must be between 0 and 1.

Additionally, we can divide the y-value for each x by the y-value for the previous x to get an estimate of the growth factor.

Using this method, we find that the growth factor is approximately 0.85, which means that a possible equation is y = a × 0.85ˣ.

To find the value of a, we can substitute one of the data points into the equation.

Lets use the point (-2, 24), we get:

24 = a × 0.85⁻²

a = 24 / 1.551

a = 15.456

Therefore, the exponential equation that models the data is  y = 16.8×1.7ˣ.

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Related Questions

Convert:
30 quarts
=
bushels
Round to the nearest hundredths.

Answers

Answer:

30 quarts= 0.8057 bushels

rounded to the nearest hundredths = 0.81

what is 900,000*9,000

Answers

Answer:

8,100,000,000

Step-by-step explanation:

I used a calculator lol

7. (a) A homeowner wishes to replace the three identical steps leading to her front door with a ramp. Each step is 10 cm high and 35 cm long. Find the length of the ramp. Give your answer correct to one decimal place.​

Answers

Answer: To replace the three steps with a ramp, the height of the ramp must be equal to the total height of the steps. Since each step is 10 cm high, the total height of the three steps is 3 * 10 = 30 cm.

The length of the ramp must be equal to the length of the steps, since the ramp is replacing them. Since each step is 35 cm long, the total length of the three steps is 3 * 35 = 105 cm.

So the length of the ramp to replace the three steps leading to the front door is 105 cm, correct to one decimal place.

Step-by-step explanation:

Which statement is true for log3(x+1)=2?

Answers

log₃ (x+1) = 3
It could be written:
(x+1)= 3³==> x+1 = 27 ==> x =27-1 =26

HOPE THIS HELPS

Answer:

It is A: A: x+1=3^2 on EDG

Step-by-step explanation:

Help me with this !!!!!

Answers

Answer:

3. 30

4. 46

5. 55

Step-by-step explanation:

Anything would help please

Answers

When the points are (2, 6), (2, -2), and (8 units), the polygon's or triangle's area is 8. ( 4 , -2)

what is triangle ?

A triangle, which is a polygon, has three sides and three vertices. One of geometry's basic shapes is it. A triangle with the vertices A, B, and C is referred to as Triangle ABC. A unique plane and triangle are discovered in Euclidean geometry when the three points are not collinear. Having three sides and three corners, a triangle is a polygon. The triangle's corners are defined as where the three sides meet one another end to end. 180 degrees is the sum of the angles in a triangle.

given

area of the polygon ( triangle ) = 1/2 * b * h

= 1/2 * 4 * 4

= 8 units

so When the points are (2, 6), (2, -2), and (8 units), the polygon's or triangle's area is 8. ( 4 , -2)

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Carole worked her 40 regular hours plus 5 O.T. hours at time-in-a-half rate. Her gross pay was $1,163.75. What is her regular hourly rate?​

Answers

Let her standard pay rate = x

She worked 40 hours for x per hour she also worked 5 hours at 1.5x ( time and a half)

Write an equation:

40x + 5(1.5x) = 1163.75

Simplify:

40x + 7.5x = 1163.75

Combine like terms:

47.5x = 1163.75

Divide both sides by 47.5

X = 24.50

Her regular hourly rate is $24.50

Answer:

let rate be x

by question

40x+7.5x=1163.75

x=1163.75/47.5=24.5

her regular income is $24.5 per hour.

just wasting points :P

Answers

Answer:

Ok Cool thx i guess.

Step-by-step explanation:

Its rectangle btw.

DB =4.3cm BC=6.7cm
How do I find x° ?​

Answers

Your answer is 40
x=40

Since angle DCB is 40, this means that angle ACD is 50 because DCB+ACD=90.
Now we just need to subtract 90 and 50 from 180 and the third angle (x) is 40
Hope this helps!

I’ll give brainliest to whoever answers this

Answers

Answer:

[tex] V_{prism} = 222\: cm^3 [/tex]

Step-by-step explanation:

For bottom portion:

l = 8 cm, w = 6 cm, h = 2 cm

[tex] V_1= lwh = 8*6*2= 96 \: cm^3 [/tex]

For top portion:

l = 6 cm, w = 3 cm, h = 9 - 2 = 7 cm

[tex] V_2= lwh = 6*3*7= 126 \: cm^3 [/tex]

[tex] V_{prism} = V_1 + V_2[/tex]

[tex] V_{prism} = 96 + 126[/tex]

[tex] V_{prism} = 222\: cm^3 [/tex]

Another way:

[tex] V_{prism} = 8*6*9-6*5*7[/tex]

[tex] V_{prism} = 432-210[/tex]

[tex] V_{prism} = 222\: cm^3 [/tex]

what is the sum of the IQR of the top data set and the IQR of the bottom data set

Answers

Answer:

IQR = 32 - 26 = 6

Step-by-step explanation:

Answer:

the answer is 11

Step-by-step explanation:

I took the algebra nation test

Determine if the events are independent or dependent

Answers

Answer:

dependent

Step-by-step explanation:

there is no replacement

Answer:

Dependent

Step-by-step explanation:

The cards aren't replaced, so it depends on which ones are taken.

7 movie tickets for $56 -help please lol-

Answers

Answer:

8

Step-by-step explanation:

If 7 tickets equals 56

56/7=8

Answer:

8 Dollars

Step-by-step explanation:

If the question you are asking is how much is a ticket, if 7 tickets cost a total of 56 dollars, then the answer is 8. This is because you would divide the total cost bu how many there are, which would look like 56 / 7 = 8.

Models come in different scales. A model of a G-scale railroad car has a scale ratio of 1:22.5, and the model is 3 in tall, how tall is the actual car?

Please help me answer this, this is due on Monday for me!!!

Answers

The actual car is 66.75 inches tall. The scale ratio of 22.5 means that for every 1 inch of the model, the actual car is 22.5 inches. Therefore, 3 inches of the model is equal to 66.75 inches of the actual car.

Hope this helps!

A pet shelter has 5 cats and 9 dogs.
Enter the ratios in the boxes.
ratio of cats to all animals:
ratio of dogs to cats:

Answers

The ratio of cats to all animals is 5:14

the ratio of dogs to cats is 9:5

Given-

Cats = 5

Dogs = 9

Total animals = cats+ Dogs

     5+9=14

so  the ratio of cats to all animals  = 5: 14

and dogs to the cats= 9:5

Ratio give the relation between quantities of to identies.

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In a class of 23 students, 9 play an instrument and 7 play a sport. There are 3 students who play an instrument and also play a sport. What is the probability that a student does not play an instrument given that they play a sport?

Answers

Answer:

There are 23 students

-- 9 students play neither sport

-- therefore, 23 - 9  =  14 students play at least one of the two sports; some play both sports.

Inclusive or:  the probability will be:  14 / 23 that a student chosen at random will play at least one of the two sports.

Exclusive or: we need to first find how many students play both sports.

Since 14 persons play sports and since 7 play basketball and 12 play baseball, this requires 7 + 12 = 19 students.

Subtracting  19 - 14 = 5 give the number of students who play both sports.

If we eliminate these 5 persons as well as the 9 who play neither sport, we have to eliminate 5 + 9  =  14 persons.

This gives 23 - 14 = 9 persons who play only one of the two sports.

The probability will be:  9/23 play a sport, but only one sport.

Step-by-step explanation:

The probability that a student does not play an instrument given that they play a sport is 6/7 or approximately 0.857.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To find the probability that a student does not play an instrument given that they play a sport, we need to use conditional probability.

Let A be the event that a student plays a sport and B be the event that a student plays an instrument.

We want to find P(not B | A), which is the probability that a student does not play an instrument given that they play a sport.

We know that,

P(A) = 7/23, P(B) = 9/23, and P(A and B) = 3/23.

Using the formula for conditional probability, we have:

P(not B | A) = P(A and not B) / P(A)

We can find P(A and not B) by using the fact that,

P(A and B) = P(B) - P(A and not B).

P(A and not B)

= P(B) - P(A and B)

= 9/23 - 3/23

= 6/23

Substituting into the formula, we get:

P(not B | A) = (6/23) / (7/23) = 6/7

Therefore,

The probability that a student does not play an instrument given that they play a sport is 6/7 or approximately 0.857.

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A bag contains only green balls and red balls. A bal is tim
of taking a green ball is 038. Write down the probability of
a red ball​

Answers

Answer:

It would be 0.62.

Step-by-step explanation:

This is because the total probability is 1 and the chance of it being a green ball is 0.38, so:

1 - 0.38 = 0.62.

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(5x-17)®
(7x-3)
56°

Answers

The measurement of three angles in the triangle are 43°, 81°, 56°.

What are the angles of a triangle?

A triangle's interior angles always add up to 180°, whereas its exterior angles are equal to the sum of the two interior angles that are not adjacent to it.

Given three angles,

∠A = (5x - 17)°

∠B = (7x - 3)°

∠C = 56°

We know that in a triangle ∠A + ∠B + ∠C = 180°

By substituting values,

(5x - 17) + (7x - 3) + 56 = 180

12x -20 + 56 = 180

12 x + 36 = 180

12x = 180 - 36

12x = 144

x = 144/12

x = 12

By substituting values of x we get,

∠A = (5x - 17)°

     = 5 x 12 - 17

     = 60 - 17

     = 43

∠A = 43°

∠B = (7x - 3)°

     = 7 x 12 - 3

     = 84 - 3

     = 81

∠B = 81°

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A shelf has 20 bags of potatoes. Two of the bags have potatoes starting to go bad.

The probability of drawing a bag with bad potatoes is less than 1.
True or False

The probability of drawing a bag with good potatoes is greater than 0.
True or False

What is the probability of drawing a bag with bad potatoes?


What is the expected probability of the complement of the event?

Answers

Answer:

The probability of drawing a bag with bad potatoes is less than 1. True

The probability of drawing a bag with good potatoes is greater than 0. True

What is the probability of drawing a bag with bad potatoes?

The probability of drawing a bag with bad potatoes is (2 bad bags) / (20 total bags) = 0.1 or 10%.

What is the expected probability of the complement of the event?

The complement of the event of drawing a bag with bad potatoes is drawing a bag with good potatoes. The probability of drawing a bag with good potatoes is (18 good bags) / (20 total bags) = 0.9 or 90%.

Uday Tahlan

its 9/16 close to 0, 1/2 or 1 explain

Answers

Answer: It's closer to 1/2

Step-by-step explanation: It's closer to 1/2 and here's why:

So, 1/2 (exact) is 8/16

0 = 0

1 = 16/16

Since 9/16 is the closest to 8/16 or around 1/2 in this case, it'd be about 1/2. I hope this helps!

Solve the triangle. Round to the nearest tenth.
39°
16
84°
B

Answers

Answer:

A. m<C = 57 degrees, a = 12, b = 19

Step-by-step explanation:

First we can start by calculating Angle C by using the rule that all interior angles of a triangle always add to 180 degrees:

180 - (39+84) = C

180 - 123 = C

C = 57

Now let's calculate side a. We can do this by using the sin rule: [tex]\frac{sin A}{a}=\frac{sin C}{c}[/tex]

According to the diagram we know that Angle A is 39 degrees, Angle C is 57 degrees, and side c is 16 so we can substitute these values into the formula and solve:

[tex]\frac{sin39}{a} =\frac{sin 57}{16} \\\\\frac{0.629320}{a} =\frac{0.838671}{16}\\\\0.629320=0.052417a\\0.629320/0.052417=a\\a= 12[/tex]

We can use the same method to solve for side b:

[tex]\frac{sin84}{b} =0.052417 \\0.994522=0.052417b\\0.994522/0.052417=b\\b= 19[/tex]

We now have the following values:

Angle C = 57 degrees, a = 12, b = 19

We can now see that A/Number 1 is the correct option.

Hope this helped!

Brain Builders

Use the graph for Exercises 24 and 25.
24. Before leaving the grocery store, Kenny wrote the
y-coordinate first and the x-coordinate second when telling
his sister where to meet him. To his surprise, she was at
the right location. If his sister did not make an error, where
did the siblings meet? Explain how you know.

Answers

The siblings met at the point (4,7). This can be determined by looking at the graph and seeing that the point (4,7) is the only point with an x-coordinate of 4 and a y-coordinate of 7.

What is coordinate?

Coordinate refers to the pair of numbers used to identify the position of a particular point on a graph, map, or other two-dimensional plane. Each coordinate consists of an x-coordinate and a y-coordinate that indicate the horizontal and vertical position of the point, respectively. Coordinates can be used to plot points, draw shapes, and determine distances between points. For example, the coordinates (4, 7) would tell you that the point is located four units to the right and seven units up from the origin point. Coordinates can also be used to describe the location of a point in three-dimensional space, with the addition of a z-coordinate.

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Help me and I’ll give you brainliest

Answers

Answer: 45°

Step-by-step explanation:

The diagonals in squares are axes of symmetry.

This means the cut the corner angles in half.

90° ÷ 2 = 45°

4 is the slope of a line y - 4x = 0 true or false​

Answers

it is false but 4 is not y-4x=0

The average age of Elliot, Miya and Cara is 4 years more than the average
age of Elliot and Miya.
Cara is 9 years older than Elliot.
Four years ago, Elliot was double the age of Miya.
Work out the ages of Elliot, Miya and Cara.

Answers

Answer:

Elliot = 16 years old

Miya = 10 years old

Cara = 25 years old

Step-by-step explanation:

Define the variables:

x = Elliot's agey = Miya's agez = Cara's age

The average age of Elliot, Miya and Cara is 4 years more than the average age of Elliot and Miya:

[tex]\implies \dfrac{x+y+z}{3}=\dfrac{x+y}{2}+4[/tex]

[tex]\implies \dfrac{x+y+z}{3}=\dfrac{x+y+8}{2}[/tex]

[tex]\implies 2(x+y+z)=3(x+y+8)[/tex]

[tex]\implies 2x+2y+2z=3x+3y+24[/tex]

[tex]\implies 2z=x+y+24[/tex]

[tex]\implies x=2z-y-24[/tex]

Cara is 9 years older than Elliot:

[tex]\implies z = x + 9[/tex]

Four years ago, Elliot was double the age of Miya:

[tex]\implies (x - 4) = 2(y - 4)[/tex]

[tex]\implies x - 4 = 2y-8[/tex]

[tex]\implies x +4 = 2y[/tex]

[tex]\implies y=\dfrac{1}{2}x +2[/tex]

Substitute the equations for z and y into the equation for x and solve for x:

[tex]\implies x=2z-y-24[/tex]

[tex]\implies x=2(x+9)-\left(\dfrac{1}{2}x +2\right)-24[/tex]

[tex]\implies x=\dfrac{3}{2}x-8[/tex]

[tex]\implies \dfrac{1}{2}x=8[/tex]

[tex]\implies x=16[/tex]

Substitute the found value of x into the equation for z and solve for z:

[tex]\implies z = 16 + 9[/tex]

[tex]\implies z = 25[/tex]

Substitute the found value of x into the equation for y and solve for y:

[tex]\implies y=\dfrac{1}{2}(16) +2[/tex]

[tex]\implies y=8+2[/tex]

[tex]\implies y=10[/tex]

Therefore, the ages of Elliot, Miya and Cara are:

Elliot = 16 years oldMiya = 10 years oldCara = 25 years old

Itzel purchased 18 pounds of oranges.
How many ounces of oranges did she
purchase?

Answers

Answer:

288

Step-by-step explanation:

1 pound is equal to 16 ounces

if Itzel purchases 18 pounds, to convert to ounces simply multiply 18 by 16.

Answer:

288

I wish you luck in your assignments.

(I just noticed someone got here in before me and answered WAY better. So I edited this to tell you to give them brainliest.)

Refer to the figure in the picture to determine
the measure of each given angle.

Answers

Check the picture below.

Graph: y - 3 = 1/2 (x + 2)

Answers

Answer:

Slope: [tex]\frac{1}{2}[/tex]

Y-intercept: (0,4)

Step-by-step explanation:

Put the equation into y = mx + b form, which is y = [tex]\frac{1}{2}[/tex] +4. Then create a table.

X: -2, -1, 0, 1, 2

Y: 3, [tex]\frac{7}{2}[/tex], 4, [tex]\frac{9}{2}[/tex], 5

Solve the inequality:
4-3x<16

Answers

Answer:

x > -4

Step-by-step explanation:

This is solved just like as if it was an equation. Its a two-step equation (inequality) The only thing that's different is with an inequality, it is imperative that you flip the inequality symbol if you multiply or divide by a negative number.

Here, we'll subtract 4 from both sides. Then divide by -3 on both sides. Flip! the < to a >.

see image.

Answer:

x > -4.

Step-by-step explanation:

1. Write the expression.

[tex]4-3x < 16[/tex]

2. Subtract "4" from both sides of the equation.

[tex]4-3x-4 < 16-4\\ \\-3x < 12[/tex]

3. Divide both sides by "-3" and switch the inequality symbol.

[tex]\frac{-3x}{-3} < \frac{12}{-3} \\ \\x > -4[/tex]

Important. See that we switched the inequality symbol from "<" to ">", and this is because the symbol of the coefficient of variable "x" changed from negative to positive when it was divided by "-3". This rule will always be true, any time the symbol of the variable changed, the inequality symbol changes.

4. Verify.

If x >-4 is the correct answer, then substituting x by "-4" in the inequation should make the inequation return the same value on both sides of the inequality symbol (>).

[tex]4-3(-4) > 16\\ \\4-(-12) > 16\\ \\4+12 > 16\\ \\16 > 16[/tex]

That's correct! x > -4 is the correct answer.

Find the missing side lengths. Leave your answers as radicals in simplest form.
Please help!!!! Due today

Answers

Answer:

B) x = 5sqrt2, y = 5

Step-by-step explanation:

(y) is equal to 5 because both angles are 45 degrees.

From here you can use the Pythagorean theorem to find (x):

a^2+b^2 = c^2

5^2+5^2 = c^2

25+25 = c^2

50 = c^2

sqrt50 = c

5sqrt2 = c (c is x in this case)

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