Which equation represents an exponential function that passes through the point (2, 36)?

A. f(x) = 4(3)x
B. f(x) = 4(x)3
C. f(x) = 6(3)x
D. f(x) = 6(x)3

Carli is correct and there is no error in her answer. Hence, it does not require any correction.

We have Carli made 9 greeting cards in 3/4 hour and she determined her unit rate to be 1/12 card per hour.

We have to find her error out and correct it.

The machine will make 1 pencil in -  \(\frac{x}{n}\) hours.

Therefore, the machine will make 'y' pencils in -   \(\frac{xy}{n}\)  hours

According to the question -

Carli made 9 greeting cards in 3/4 hour (45 minutes).

Therefore, she will make one greeting card in -    \(\frac{\frac{3}{4} }{9}\) = \(\frac{3}{4} \times\frac{1}{9}= \frac{1}{12}\)

This means that Carli is correct and there is no error in her answer. Hence, it does not require any correction.

To solve more questions on rate calculations, visit the link below -

https://brainly.com/question/13953868?referrer=searchResults

#SPJ1

Answer:\(\sqrt{181}\)

Step-by-step explanation:

9^2+10^2=c^2

81+100=c^2

181=c^2

\(\sqrt{181}\)=c

You can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

To calculate the probability P(1 < z < 2) for a standard normal random variable, we can use the cumulative distribution function (CDF) of the standard normal distribution.

The CDF gives us the probability that a standard normal random variable is less than or equal to a given value. We can use this information to calculate the probability between two values.

Let's denote the CDF of the standard normal distribution as Φ(z). The probability P(1 < z < 2) can be calculated as follows:

P(1 < z < 2) = Φ(2) - Φ(1)

To calculate this, we need to look up the values of Φ(2) and Φ(1) from a standard normal distribution table or use a calculator/computer software. However, since I don't have access to real-time computations in this environment, I am unable to provide the exact numerical value.

But you can use statistical software or online calculators to find the precise value. Alternatively, you can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

Learn more about probability   from

https://brainly.com/question/30390037

#SPJ11

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

Answer:

8, 0

Step-by-step explanation:

In order for there to be 10 visits, she needs to make 10.

What is system of linear equations?

The intersections or meetings of the lines or planes that represent the linear equations are known as the solutions of linear equations. The set of values for the variables in every feasible solution is known as a solution set for a system of linear equations.

points that piper earned 13.5x + 60

she cannot get free tickets until she has at least 195 points.

so   13.5x + 60 ≥ 195

13.5x ≥ 195 - 60

13.5x ≥ 135 x ≥ 10

So, In order for there to be 10 visits, she needs to make 10.

Learn more about the system of linear equations, by the following link.

https://brainly.com/question/25858757

#SPJ1

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

Learn more about graph from

https://brainly.com/question/19040584

#SPJ11

Answer:

d is correct.

\(y + 1 = - \frac{3}{2} (x - 1)\)

A line passes through the two points (4, 7) and (2, 3).

The equation of the line is y = 2x + 1.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

A line passes through the two points (4, 7) and (2, 3).

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

y - 7 = {(3 -7)/(2 -4)} (x - 4)

y - 7 = 2(x - 4)

y = 2x + 1

Therefore, the equation of the line is y = 2x + 1.

To learn more about the slope;

brainly.com/question/3605446

#SPJ1

Answer:

15, 16, 17

Step-by-step explanation:

let the consecutive numbers be n , n + 1 , n+ 2 , then

n + n + 2 = 32 ( sum of first and third )

2n + 2 = 32 ( subtract 2 from both sides )

2n = 30 ( divide both sides by 2 )

n = 15

n + 1 = 15 + 1 = 16

n + 2 = 15 + 2 = 17

The 3 numbers are 15, 16, 17

Step-by-step explanation:

let the 1st and 2nd consecutive number be

x , x + 1 , x + 2

their sum = 32

so, x + x + 2 = 32

→ 2x + 2 = 32

→ 2x = 32 - 2 = 30

→ x = 30/2 = 15

so,

1st and 3rd consecutive number is

x = 15

x + 2 = 15 + 2 = 17

as they are consecutive number so 2nd number is 16

and a/q sum of 1st and 3rd number is 32

15 + 17 = 32

hope this answer helps you dear...take care and may u have a great day ahead!

Answer: Margo does 48 activities in 4 weeks.

Step-by-step explanation:

In the calendar,

Red dots represent homework, yellow dots represent work, and green dots represent practice.

On a typical week , she uses 5 red dots, 3 yellow dots, and 4 green dots.

That means , total activity he does in a week = 5+3+4=12

Then, total activities in 4 weeks = 4 x 12 = 48

Hence, Margo does 48 activities in 4 weeks.

Answer:

x = 2

Step-by-step explanation:

A = lw

44 = 4(3x+5)

44 = 12x + 20

24 = 12x

x = 2

As there are three players, the game will be played in cycles of 3 rounds. After each cycle is completed, the round after will be the round where every single player has 1 token less than they did at the beginning of the previous cycle.

After the first round of the game, player one will have 12 tokens, player two will have 15 and player three will have 14 left. Looking at this sequence, it is evident that player one will finish first.

Go a few rounds to establish the pattern:

Beginning chips: A B C

15 14 13

1st round:

12 15 14

2nd round: 13 12 15

3rd round: 14 13 12

So after 3 rounds and successive 3 rounds each player has one less than he started with at the beginning of the 3 round series.

So after 36 rounds each will be down 12 from the beginning:

                                            A B C

                                             3 2 1

On the 37 round A will give up his 3 to end at 0

37

For more clear understanding:

As player has one token less at the beginning of a new cycle than he/she had at the beginning of the previous cycle we go (12∗3)+1=37(12∗3)+1=37 to see how many turns it will take them to reach zero.

Learn more about Sequence:
https://brainly.com/question/4626313

#SPJ4

The scale factor from Figure A to Figure B is 1/2

From the figure, the corresponding sides of Figure A and Figure B are:

Figure A = 6 units

Figure B = 3 units

The scale factor from Figure A to Figure B is then calculated as:

Scale factor = Figure B/Figure A

Substitute the known values in the above equation

Scale factor = 3/6

Evaluate

Scale factor = 1/2

Hence, the scale factor from Figure A to Figure B is 1/2

Read more about scale factor at

https://brainly.com/question/15891755

#SPJ1

The upper bound means the highest number that you can round up to the nearest unit, in this case meters. So the upper bound for the distance of 100 meters is 100.4 meters.

Answer:

bye

Step-by-step explanation:

Answer:

60 I

Step-by-step explanation:

because it would be 15 times 4 right I think

Answer:

click on A or fill it in

Step-by-step explanation:

Answer:

√6(x−11)/6

Step-by-step explanation:

f^−1(x)=√6(x−11)/6

The 20 ft/sec is the timing of the string when 500 ft of string has been let out for the kite at a height of 300 ft, the wind carrying the kite horizontally away from her at a rate of 25 ft/sec.

Let dd be the real distance among the kite and the female, vv be the vertical distance among the female and the kite, and hh horizontal distance. Since the vertical distance is a constant (v = 300v=300) we understand that:

v^2 + h^2 = d^2 quad Rightarrow quad 300^2 + h^2 = d^2v 2 +h 2 =d 2 ⇒300 2 +h 2 =d 2

wherein dd and hh are capabilities of time tt, this means that that:

2hdfrac = 2ddfrac2h dtdh =2d dtdd

Since the vertical distance is v=300v=300, and the real distance is d = 500d=500, we understand that:

300^2 + h^2 = 500^2 quad h = sqrt = 400300 2 +h 2 =500 2 ⇒h= 500 2 −300 2 =four hundred

We're inquisitive about the price of extrade of the real distance dd so we have:

begin color dfrac &= dfrac cdot h cdot dfrac = dfrac cdot four hundred cdot 25 = color 20 text enddtdd = d1 ⋅h⋅ dtdh = 5001 ⋅four hundred⋅25=20 ft/sec

Read more about distance;

https://brainly.com/question/17273444

#SPJ4

The image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.  The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Given that the image of (8,12) after dilation by a scale factor of 1/4 centered at the origin.

The image of the dilated point will be:-

x : - 8 ⇒ 8 / 4 = 2

y : - 12 ⇒ 12 / 4 = 3

Therefore, the image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.

To know more about dilation follow

https://brainly.com/question/3457976

#SPJ2

The integral of cos(3πt)i + sin(2πt)j + \(t^3\)k with respect to t is (1/3π)sin(3πt)i - (1/2π)cos(2πt)j + (1/4)\(t^4\)k + c, where c is the constant of integration.

To evaluate the integral, we integrate each component separately.

The integral of cos(3πt) with respect to t is (1/3π)sin(3πt), where (1/3π) is the constant coefficient from the derivative of sin(3πt) with respect to t.

Therefore, the integral of cos(3πt)i is (1/3π)sin(3πt)i.

Similarly, the integral of sin(2πt) with respect to t is -(1/2π)cos(2πt), where -(1/2π) is the constant coefficient from the derivative of cos(2πt) with respect to t.

Thus, the integral of sin(2πt)j is -(1/2π)cos(2πt)j.

Lastly, the integral of \(t^3\) with respect to t is (1/4)\(t^4\), where (1/4) is the constant coefficient from the power rule of differentiation.

Hence, the integral of \(t^3\)k is (1/4)\(t^4\)k.

Putting it all together, the integral of cos(3πt)i + sin(2πt)j + \(t^3\)k with respect to t is (1/3π)sin(3πt)i - (1/2π)cos(2πt)j + (1/4)\(t^4\)k + c, where c represents the constant of integration.

Learn more about derivative here:

https://brainly.com/question/30401596

#SPJ11

Answer:

i'm pretty sure the answer is A

Step-by-step explanation:

Water vapor is an important component of the Earth's atmosphere, and it plays a crucial role in regulating the climate. water vapor makes up about 0-4% of the Earth's atmosphere by volume . So the correct option is A.

It is a greenhouse gas, which means that it can trap heat in the atmosphere and contribute to global warming. The amount of water vapor in the atmosphere can vary depending on location, temperature, and weather conditions. On average, water vapor makes up about 0-4% of the Earth's atmosphere by volume. This may seem like a small amount, but it has a significant impact on weather patterns and climate. As temperatures rise due to climate change, the amount of water vapor in the atmosphere is expected to increase, which could have further impacts on global climate.

Learn more about Earth's atmosphere,

https://brainly.com/question/13154099

#SPJ4

Given the expression:

We use the distributive property for -1:

Now, we factorize x:

Answer`Step-by-step explanation:

The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:

Hope that help, at least a bit.

Answer:

on week 8 he will weight 208 lbs

Step-by-step explanation:

i dont know I guessed and got it right

John weigh 217.7 lbs at the end of 8 week.

An estimate of the line that depicts the actual, but unidentified, linear relationship between the two variables is called a regression line. When the value of the explanatory variable is known, the regression line's equation is used to predict (or estimate) the value of the response variable.

Given:

Using the regression model

In II nd week the calories is 2950 and weight 250.

and, Vth week the calories is 7400 and weight 216.

let Exercise be x and the weight is y then

= (216 - 250)/ (7400- 2950)

= -9/ 4450

So, at the start of week john weight

y= -9/ 4500 x + 230

Now, At the end of 8 week John weighs

= -9/4500 (6100) + 230

= 217.7

Learn more about Regression line here:

https://brainly.com/question/7656407

#SPJ2

Answer:

12.08 pounds of soy nuts and 14.08 pounds of trail mix

Step-by-step explanation:

To determine the number of pounds of each item sold at the health food store, we need to first determine the total number of pounds of soy nuts and Asian trail mix sold. To do this, we can set up the following equation:

1.20p + 1.80q = 21.60

Here, p represents the number of pounds of soy nuts sold, and q represents the number of pounds of Asian trail mix sold. We know that the total sales for these items was $21.60, and that the price of soy nuts is $1.20 per pound and the price of Asian trail mix is $1.80 per pound. We also know that two more pounds of Asian trail mix were sold than soy nuts.

We can rearrange the equation to solve for p:

p = (21.60 - 1.80q) / 1.20

Since two more pounds of Asian trail mix were sold than soy nuts, we can set q equal to p + 2:

p = (21.60 - 1.80(p + 2)) / 1.20

We can then solve for p by dividing both sides by 1.20 and simplifying:

p = 14.50 / 1.20

This gives us a value of p = 12.08. Since the number of pounds of soy nuts sold is 12.08 and the number of pounds of Asian trail mix sold is two more than this, we can say that the number of pounds of Asian trail mix sold is 12.08 + 2 = 14.08.

Therefore, the health food store sold 12.08 pounds of soy nuts and 14.08 pounds of Asian trail mix.

9. Yes, since \(8+12>16\), meaning the side lengths satisfy the triangle inequality.

10. No, since \(5+7<20\), meaning the side lengths do not satisfy the triangle inequality.