Hi I need help with the question in the image. Step by step, thank you!

Hi I Need Help With The Question In The Image. Step By Step, Thank You!

Answers

Answer 1

The exponential function is [tex]f(x) = 18(12)^{-x-4} + 2[/tex]

How to determine the equation?

An exponential function is represented as:

y = b^x

Where b represents the base.

The base is given as:

b = 12

So, we have:

y = (12)^x

It is vertically compressed by a factor of 1/8.

So, we have:

y = 18(12)^x

When reflected across the y-axis, we have:

[tex]y = 18(12)^{-x}[/tex]

The horizontal asymptote is y = 2.

So, we have:

[tex]y = 18(12)^{-x} + 2[/tex]

It passes through the point (-3, 4).

So, we shift the function to the right by 4 units

[tex]y = 18(12)^{-x-4} + 2[/tex]

Express as a function

[tex]f(x) = 18(12)^{-x-4} + 2[/tex]

Hence, the exponential function is [tex]f(x) = 18(12)^{-x-4} + 2[/tex]

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Related Questions

Please help ill give whoever answers the best the brainliest answer

Answers

the third chart i think


In a group of 60 students, 18 students take Algebra I, 20 students take
Algebra II, and 10 students take both subjects. How many students don't take
either of these subjects?
A. 12
B. 32
C. 34
D. 36

Answers

Answer:

32...................

look at image............

Answers

Answer:

f(x)=2x-3

Step-by-step explanation:

cause fir example if you put x=2 the y became 1.

If m ∠4 = m ∠5, then r||s. Summarize the postulate or theorem that makes this a true statement.
can someone please explain how to solve this

Answers

The statement, m∠4 = m∠5, then then r||s is true based on the converse of corresponding angles theorem.

What is the Converse of Corresponding Angles Theorem?

Based on the converse of corresponding angles theorem, if two corresponding angles, angles 4 and 5 are congruent or equal to each other, then the lines on which they lie on, lines r and s are congruent.

Therefore, based on the converse of corresponding angles theorem, m∠4 = m∠5, then then r||s.

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The following figure shows a square-based pyramid.
5
6
Which expression represents the surface area of the pyramid?
Choose 1 answer:

Answers

The expression that shows the surface area of the pyramid is (2 * 2) + 4(0.5 * 2 * 3)

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The surface area of  pyramid = sum of individual area of the surface

Surface area = (2 * 2) + 4(0.5 * 2 * 3)

The expression that shows the surface area of the pyramid is (2 * 2) + 4(0.5 * 2 * 3)

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number 8. use the Steps in the construction to determine which statement is true

Answers

Answer:

choice C

Step-by-step explanation:

The circle is circumscribed because circles drawn on the outside is known as circumscription. The circle is clearly outside touching the three vertices of the triangle.

Which ratio is equivalent to 4:5 ?

Answers

Answer:

Step-by-step explanation:

Maybe..

8/10

12/15

16/20

20/25

24/30

28/35

32/40

36/45

40/50

Any one of these is equal to the ratio of 4 over 5.

Answer:

No, the person who answered first is wrong

I'll give you the correct answer

Step-by-step explanation:

He the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

thank you, this is the correct answer

hope that hepls

Solve each triangle – find any missing side and angle measures. Round answers to the nearest tenth.

Answers

Step-by-step explanation:

HELP QUICKKK What is the difference between –4 and 6?
–10
–2
2
10

Answers

Answer:

10

Step-by-step explanation:

Plugin your answer: -4 + 10 = 6

Answer:

10

Step-by-step explanation:

Please help! I can't figure this out, i'll give a brainliest

Answers

The linear equation that best fits the data is: y = 10x + 15.

How to Write the Linear Equation of a Data?

First, find the slope/unit rate (m) and the y-intercept/starting value, then substitute the values into y = mx + b.

Using two points on the graph, (1, 25) and (2, 35), find the slope (m):

Slope (m) = (35 - 25)/(2 - 1)

Slope (m) = 10/1

Slope (m) = 10

Substitute (x, y) = (1, 25) and m = 10 into y = mx + b to find b

25 = 10(1) + b

25 - 10 = b

b = 15

Substitute m = 10 and b = 15 into y = mx + b

y = 10x + 15

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Can someone pls help me?

Answers

Answer:

[tex] \frac{8}{24} [/tex]

Step-by-step explanation:

If Adam's family uses 8lb of apples to make pie. We know that 3 x 8 = 24, so it's probably approximately 3 out of 18.

7. A student on the cross-country team runs 30 minutes a day as a part of her training.
Write an equation to describe the relationship between the distance she runs in miles, , and her running speed, in miles per hour, when she runs:
a. at a constant speed of 4 miles per hour for the entire 30 minutes.

Answers

The relationship between the distance she runs in miles, , and her running speed is Distance = speed * time

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The distance travelled in 30 minutes is:

Distance = speed * time = 4 mph * 0.5 h = 2 miles

The relationship between the distance she runs in miles, , and her running speed is Distance = speed * time

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Missing value of why worth 20 points pls help

Answers

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The value of x, y and z is 90°, 53°, and 100°, respectively.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

In ΔABD is made on the diameter of the circle, therefore, the measure of ∠BAD = 90°. Therefore,

x° = 90°

In ΔAOD, the measure of ∠AOD is 74°, also, the triangle is an isosceles triangle with OA and OD of equal length. Therefore, the sum of the angles can be written as,

y° + y° + 74° = 180°

2y° = 106°

y = 53°

Similarly, ΔBOC is an isosceles triangle with OB and OC having an equal length. Therefore, ∠OBC=∠OCB. Also, the sum of all the angles can be written as,

∠BOC + ∠OBC + ∠OCB = 180°

∠BOC + 40° + 40° = 180°

∠BOC = 100°

Hence, the value of x, y and z is 90°, 53°, and 100°, respectively.

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(−7)^-2 and more letters cause needed

Answers

Answer:

1/49.

Step-by-step explanation:

(−7)^-2

=  1 /(- 7)^2

= 1/49.


.
help me please gang

Answers

Answer:

Not similar

Step-by-step explanation:

There is only one side and one angle, which insufficient to prove triangle similarity.

4
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Answers

2/7 = 6x/4x+17

X= 1
The answer will have to be 1

PLEASE HELPPPP!
Susan's calculator has a key that replaces the number displayed with its cube. If a² is displayed, how many times must Susan press the " cubing" key to display a number that is greater than 10?

Please explain it step-by-step! Also, I will give you a brainlist!!

Answers

Answer:

10

Step-by-step explanation:

This is because you would have to start with 109 = 23x

then solve it using logarithms

Then once you get the x value, it becomes

X>_10__(whatever number you found)

Which expressions represent exponential decay? Check all that apply.

900(0.05)t
700(0.9)x
53(1.75)(0.3)x
90(1.2)t
300(2.4)(1.2)y
2x2 + 9
18 – 3y

Answers

The expressions that represent exponential decay are 900(0.05)^t, 700(0.9)^x and  53(1.75)(0.3)^x

How to determine the expressions?

An exponential function is represented as:

y = ab^x

The above means that options (f) and (g) are not exponential functions

When b is less than 1, then the function is an exponential decay.

From the list of options, we have:

900(0.05)^t => b = 0.05

700(0.9)^x => b = 0.9

53(1.75)(0.3)^x => b = 0.3

Hence, the expressions that represent exponential decay are 900(0.05)^t, 700(0.9)^x and  53(1.75)(0.3)^x

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A room has a length of 8 m. A scale diagram is drawn of the room. In the diagram, the room has a length of 1 cm. What is the scale of the diagram? Give your answer as a ratio in the form 1 : k , where k is an integer.

Answers

The scale of the diagram as described in the task content is; 1: 8 where k= 8.

What is the scale of the diagram?

It follows from the task content that the original length of the room in discuss is 8cm. It therefore follows that the length of the room in the scale diagram is 1cm. On this note, the scale of the diagram in discuss is; 1 : 8 as 1cm on the diagram corresponds to 8cm actual length.

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The following table shows a proportional relationship between jjj and mmm.
jjj mmm
444 333
121212 999
202020 151515
Write an equation to describe the relationship between jjj and mmm.

Answers

Answer:

The equation representing the proportional relationship between j and m is m = 3j/4 .

Step-by-step explanation:

Writing an Equation to Represent a Proportional Relationship

What is proportional relationship?

A proportional relationship between two quantities is when the two quantities vary directly with one and other. Meaning if one item is doubled, the other item is also doubled.

Going back to the given problem above, we have the table showing the proportional relationship between j and m.

j | 4 | 12 | 20 |

m | 3 | 9 | 15 |

Solution:

Step #1

The proportional relationship can be written as:

m/j = ¾ = ‌9⁄12‌ = ‌15⁄20‌ = ¾

Step #2

So, the equation representing this proportional relationship is:

m = ¾ × j/1 = 3j/4

Final Answer:

The equation representing the proportional relationship between j and m is m = 3j/4 .

Step-by-step explanation:

Members of the band sold juice and popcorn at a college football game to raise money for an
upcoming trip. Each juice bottle sold costs $2.50, and each container of popcorn sold costs
$1.25.

a. write an equation to represent how much money was made
b. be sure to specify what the variables represent.

Answers

Answer:

2.50x+1.25y=z

Step-by-step explanation:

Let the number of juice bottles = x

And the number of containers of popcorns=y

And the total number of juice bottles and containers of popcorns=z

Total number of juice bottles=x times $2.50

Total number of containers of popcorn= y times $ 1.25

equation; 2.50x+1.25y=z

Which of the following situations involve opposite quantities combining to make 0?

·Krista has a new piggy bank. She adds 3 quarters on Tuesday, and then adds another 3 quarters on Thursday.

·Carlyns opens a new checking account with $30. His first purchase, made with his new debit card, totals $28.

·Bekzod makes 1.5 liters of lemonade and drinks it all during the afternoon.

·Daisy is writing a novel. She wrote 4 new pages to finish Chapter 1. When she reviews Chapter 1, she discards these 4 pages and an additional 4 pages.

Answers

Bekzod makes 1.5 liters of lemonade and drinks it all during the afternoon. This is the only one of the examples given that would ultimately equal zero.

Given that y = 12 cm and 0 = 45°, work
out a rounded to 1 DP.

The diagram is not drawn accurately.
X
cm

Answers

The value of x is 8.5 cm

How to solve for x?

The complete question is in the image

The given parameters are:

y = 12 cm

[tex]\theta = 45^o[/tex]

The value of x is calculated using the following sine ratio

[tex]\sin(\theta) = \frac xy[/tex]

This gives

[tex]\sin(45^o) = \frac x{12}[/tex]

Multiply by 12

[tex]x = 12 * \sin(45^o)[/tex]

Evaluate

x = 8.5

Hence, the value of x is 8.5 cm

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A motorcycle traveling at 70 miles per hour overtakes a car traveling at 40 miles per hour that had a three-hour head start. How far from the starting point are the two vehicles

Answers

A motorcycle traveling at 70 miles per hour overtakes a car traveling at 40 miles per hour that had a three-hour head start. How far from the starting point are the two vehicles.

----------------------

The car is 120 miles away when the motorcycle starts.

The bike gains on the car at 30 mph (70-40).

It takes 4 hours for the bike to close the gap (120/30).

In 4 hours, the bike and the car are 280 miles from the starting point.

---------

4*70 = 280

7*40 = 280

Since Distance = Speed x Time, and in this case, the distances are equal, we, therefore, have: 70T = 40(T + 3)

70T = 40T + 120

30T = 120

T=4, which makes the distance that both vehicles traveled, highlight_green280miles, calculated as (70 * 4), or (40 * 7).

It also means that the motorcycle took 4 hours to travel 280 miles, and the car took 3 hours more, or 7 hours to travel the same distance.

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CAN ANYONE HELP PLSS

Answers

Answer:

CD = 13

Step-by-step explanation:

since Δ ABD and Δ CBD are congruent , then corresponding sides are congruent, so

CD = DA = 13

Answer:

13

Step-by-step explanation:

We know that if two triangles are congruent, the corresponding element of those are also equal.

Given that,

ABD Δ ≡ CBD Δ

Therefore, the corresponding elements are also equal.

AD = CD

AD = 13 units

CD = 13 units

Look at this table.
Hours of Monthly
Pay
1220
1420
1620
1820
2020
2220
2420
Training
10
20
30
40
50
60
70
According to the table, how many hours of training would you need to have a
monthly pay of $1500?

Answers

Using a linear function, it is found that you would need roughly 24 hours of training to have a monthly pay of $1500.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Looking at the table, the pay increases $200 each 10 hours of work, hence the slope is:

m = 200/10 = 20

Then:

y = 20x + b

When x = 10, y = 1220, hence:

y = 20x + b

1220 = 20(10) + b

b = 1020.

Then the pay for x hours of training is:

y = 20x + 1020.

For a pay of $1500, we have that:

y = 20x + 1020.

1500 = 20x + 1020.

20x = 480

x = 24

You would need roughly 24 hours of training to have a monthly pay of $1500.

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Given that
x
= 8 cm and
y
= 23 cm, work out

BCA rounded to 3 SF.

Answers

The value of the angle ∠BCA when approximated to 3 significant figures is;  20.4°

How to use Trigonometric Ratios?

From the attached image of the triangle ABC showing the side lengths x and y, we can see clearly that it is a right angle triangle.

Now, since we want to find the value of the angle ∠BCA, then it means we have to use trigonometric ratio to get;

x/y = sin BCA

Plugging in the relevant values gives us;

8/23 = sin BCA

∠BCA = sin⁻¹(8/23)

∠BCA = 20.355

Approximating to 3 significant figures gives us;

∠BCA = 20.4°

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Please help ASAP
Please help ASAP
Please help ASAP
Please help ASAP

Answers

Substituting L = 7.29,

[tex]t = 2.01 \sqrt{7.29} \approx \boxed {5.4}[/tex]

The black graph is the graph of y= f(x). Choose the equation for the red graph
a. y=f(x+3)
b. y=f(x-3)
c. y+3=f(x)
d. y-3=f(x)

Answers

Answer:

[tex]D[/tex]

Step-by-step explanation:

Notice that the red graph does not globally differ from the black graph: it would have been approximately the same one unless it had been displaced by 3 units up. Therefore, it was only the ordinate axis that underwent our change: [tex]y - 3 = f(x) \Leftrightarrow y = f(x) + 3[/tex].

Answer:

C

Step-by-step explanation:

Let $m$ be a positive integer such that $m$ has exactly 5 positive divisors. How many distinct prime factors does $m$ have

Answers

If m has exactly 5 positive divisors then there can only be one prime factor.

According to statement

m has exactly 5 positive divisors AND

Let A^p,B^q,.... are the possible factors of integer m then

assume that p and q ≥ 1.

then the number of possible divisors cannot be 5 because there are no two integers  p, q ≥ 1, such that (p +1)(q + 1) = 5

So, If m has exactly 5 positive divisors then there can only be one prime factor.

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