An online retailer has determined that the average time for credit card transactions to be electronically approved is 1.8 seconds. (Round your answers to three decimal places.) (a) Use an exponential density function to find the probability that a customer waits less than a second for credit card approval. (b) Find the probability that a customer waits more than 3 seconds. (c) What is the minimum approval time for the slowest 5% of transactions

Answers

Answer 1

Answer:

a) 0.426 = 42.6% probability that a customer waits less than a second for credit card approval.

b) 0.189 = 18.9% probability that a customer waits more than 3 seconds.

c) The minimum approval time for the slowest 5% of transactions is 5.39 seconds.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

\(f(x) = \mu e^{-\mu x}\)

In which \(\mu = \frac{1}{m}\) is the decay parameter.

The probability that x is lower or equal to a is given by:

\(P(X \leq x) = \int\limits^a_0 {f(x)} \, dx\)

Which has the following solution:

\(P(X \leq x) = 1 - e^{-\mu x}\)

The probability of finding a value higher than x is:

\(P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}\)

An online retailer has determined that the average time for credit card transactions to be electronically approved is 1.8 seconds.

This means that \(m = 1.8, \mu = \frac{1}{1.8} = 0.5555\)

(a) Use an exponential density function to find the probability that a customer waits less than a second for credit card approval.

This is \(P(X \leq 1)\).

\(P(X \leq 1) = 1 - e^{-0.5555*1} = 0.426\)

0.426 = 42.6% probability that a customer waits less than a second for credit card approval.

(b) Find the probability that a customer waits more than 3 seconds.

This is P(X > 3).

\(P(X > x) = 1 - P(X \leq 3) = 1 - (1 - e^{-0.5555*3}) = 0.189\)

0.189 = 18.9% probability that a customer waits more than 3 seconds.

(c) What is the minimum approval time for the slowest 5% of transactions

This is x for which \(P(X \leq x) = 0.95\)

So

\(P(X \leq x) = 1 - e^{-\mu x}\)

\(0.95 = 1 - e^{-0.5555x}\)

\(e^{-0.5555x} = 0.05\)

\(\ln{e^{-0.5555x}} = \ln{0.05}\)

\(-0.5555x = \ln{0.05}\)

\(x = -\frac{\ln{0.05}}{0.5555}\)

\(x = 5.39\)

The minimum approval time for the slowest 5% of transactions is 5.39 seconds.


Related Questions

Emaly is a massage therapist at a resort where she earns an automatic gratuity of 18% on all of her services. Determine the value of services she must provide in a day to earn a gratuity of $200.

Answers

gratuity is 18% of the value of services

g = 0.18 · s

200 = 0.18 · s

200/0.18 = s

s ≈ 1111.11

Techincaily, she'd need to services would need to provide 1111.12 to break the $200 mark cleanly, but with rounding, 1111.11 should still work.

A motorboat travels 150 miles in 6 hours going upstream. It travels 270 miles going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?

Answers

Answer:

The rate of the boat is 35, and the rate of the current is 10.

Suppose X,Y and Z are three different random variables. Let X obey a Bernoulli Distribution. The probability distribution function is. c is a constant here.
Let Y obey the Standard Normal (Gaussian) Distribution, which can be written as Y N(0,1). X and Y are independent. Meanwhile, let Z = XY.
Calculate the covariance of Y and Z (Cov(Y, Z)) and determine whether values of c would affect the correlation.

Answers

The value of c does not affect the covariance of Y and Z.

How did we arrive at this assertion?

The covariance of Y and Z can be calculated as Cov(Y, Z) = E[YZ] - E[Y]E[Z]. Since X is Bernoulli with parameter p and E[X] = p, we have E[Z] = pE[Y]. Hence,

Cov(Y, Z) = E[YZ] - E[Y]E[Z]

= E[YXY] - pE[Y]^2

= pE[Y^2 X] - pE[Y]^2

= p(E[Y^2]E[X] + Var[Y]p) - pE[Y]^2

= p(1 * p + 1 * p^2) - p^2

= p - p^2

It can be seen that the value of c does not affect the covariance of Y and Z.

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Rewrite the following equation in slope intercept form 8x - 2y = -15Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

The given equation is

\(8x-2y=-15\)

To express it in slope-intercept form, we have to solve the equation for y.

\(\begin{gathered} -2y=-15-8x \\ 2y=15+8x \\ y=\frac{8x+15}{2} \\ y=4x+\frac{15}{2} \end{gathered}\)Hence, the equation in slope-intercept form is\(y=4x+\frac{15}{2}\)

What is the quotient of
15y^3+ 28y^2+ 7y-6 / 5y+6?

Answers

Answer: The quotient is 3y² + 2y - 1.

Step-by-step explanation:

You can use long division to solve this expression by setting the dividend under the roof and the divisor outside as you would normally do when dividing numbers.

1) Look at the first term of the dividend, 15y³, and the first term of the divisor, 5y. Determine what value multiplied by 5y would give you 15y³. The answer is 3y², and given the number, you multiply it by the WHOLE divisor.

3y²(5y + 6) = 15y³ + 18y² <-- subtract this from the dividend.

2) Continue this process and make sure to drag down the next term for each new value you form after subtracting. Keep in mind of any negative values! When you reach up to -5y, determine what value multiplied by 5y would give you the value of -5y, which would be -1.

3) You should be left with a remainder of 0, leaving you with a quotient of 3y² + 2y - 1.

easy math question help solve for x

easy math question help solve for x

Answers

Answer:

x=100

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

53+ (x-22) = 131

x+31 = 131

Subtract 31 from each side

x +31-31 = 131-31

x = 100

I NEED HELP WITH THIS QUESTION ASAPP!!!

I NEED HELP WITH THIS QUESTION ASAPP!!!

Answers

The speed of the ball after one second is given as follows:

9.175 m/s.

How to obtain the speed of the ball?

The speed function is the derivative of the position function, which is graphed in this problem.

The position function, in meters, for a projectile's height, is given as follows:

h(t) = -4.9t² + v(0)t + h(0).

In which:

v(0) is the initial velocity.h(0) is the initial height.

From the graph, the initial height is given as follows:

h(0) = 6.

When t = 4, h = 2.5, hence the initial velocity is obtained as follows:

2.5 = -4.9(4)² + 4v(0) + 6

4v(0) = 2.5 - 5 + 4.9(4)²

4v(0) = 75.9

v(0) = 75.9/4

v(0) = 18.975.

Then the position function is of:

h(t) = -4.9t² + 18.975t + 6.

The velocity function is the derivative of the position, hence:

v(t) = -9.8t + 18.975.

Then the velocity after one second is of:

v(1) = -9.8 + 18.975 = 9.175 m/s.

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For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.

Answers

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Compare the two parking garages.

Garage A
charges $5
plus $2
for every hour.
Garage B
charges $4.50
an hour, with no flat fee.

Answers

Garage B is more cost-effective for any parking duration exceeding 2 hours.

When comparing Garage A and Garage B based on their pricing structure, it's important to consider both the flat fee and the hourly rate to determine which option is more cost-effective.

Garage A charges a flat fee of $5, regardless of the duration of parking, and an additional $2 for every hour parked. This pricing structure benefits those who need to park for shorter durations, as the flat fee is relatively low.

However, for longer parking durations, the hourly charge can accumulate significantly, making it less favorable for extended stays.

On the other hand, Garage B follows a different approach by charging a rate of $4.50 per hour with no flat fee. This pricing structure is more suitable for those who require shorter parking times, as they only pay for the exact duration of their stay. In such cases, Garage B would likely be more cost-effective compared to Garage A.

However, for longer stays, Garage A might offer better value. For example, if someone needs to park for 6 hours, Garage A would charge $17 ($5 flat fee + 6 hours * $2/hour) while Garage B would charge $27 ($4.50/hour * 6 hours). In this scenario, Garage A would be the more affordable option.

Ultimately, the choice between Garage A and Garage B depends on the individual's specific parking needs. If the stay is anticipated to be short, Garage B's hourly rate is preferable.

However, for longer durations, Garage A's combination of a flat fee and hourly rate may result in lower overall costs. It's essential to consider the anticipated length of stay to make an informed decision.

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please fast if could

please fast if could

Answers

Answer:9/41

SOH = opposite over hypotenuse

Step-by-step explanation:

If you can get this before I do I'll give brainliest

If you can get this before I do I'll give brainliest

Answers

Answer:

The answer is B

Step-by-step explanation:

hope this helps,

please give brainliest if you like my answer,

have a great day

The answer is going to be No since I know that the community property of addition tells that it does not matter if we change the order of the addends, so therefore the sum of this equation would leave it just like that.

So the actual equation that I put into this piece would be 4/5+6.9y-8

Now you have to rewrite this from only trying the (+) sign which comes as

4/5+6.9y+(-8)

So in this first number it’s 4/5 not -4/5 and the other number is -8 not 8.

Therefore Maggie differentiated the signs from these following numbers. Since Maggie did the communitive incorrectly.

Anyone able to help?

Anyone able to help?

Answers

Answer:

Technically he isn't, but he is off by only 0.5 cm.

Step-by-step explanation:

To check, we can use pythagorean theorem:

22.8^2 + 13.82^2 = about 22.6

However, Mr. Lim got it as around 26.1

560/17 participate in a football tournament if each team plays against every other team ones, how many matches will be played tota

Answers

According to the information, it can be inferred that the total matches that would be played in total are 160,461.

What is a mathematical combination?

A combination is a term to refer to an arrangement of elements in no particular order. For example:

When we put together a sandwich with salami, ham and turkey. The order in which the deli meats are placed does not matter as long as they are in a sandwich. There is only one way to stack the meat on the sandwich when the order doesn't matter.

How to calculate how many matches will be played in total?

To calculate how many matches will be played in total we have to perform the following procedure:

\(= ^{567} C_{2} \\= \frac{(567)!}{2!565!} \\= \frac{567 * 566 * (565)!}{2 * (565)!} \\= 567 * 283\\= 160,461\\\\\)

As we can see after the combination, the number of games that would be played in this tournament would be 160,461.

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Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10​

Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10

Answers

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

How to find the elements in a set?

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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On a coordinate plane, circle has its center at the point (3, −6). The point (−1, −2) is on circle .



Which of these statements are correct? Choose ALL that are correct.

Responses

The line = − 1 is tangent to circle at P
The line = − 1 is tangent to circle at P

The area of the circle is 32 square units
The area of the circle is 32 square units

The radius of the circle is 4√2
The radius of the circle is 4√2

The range of the circle is (−6 − 4√2) ≤ ≤ (−6 + 4√2) -
The range of the circle is (−6 − 4√2) ≤ ≤ (−6 + 4√2) -

The point (4, −0.5) is on the circle.
The point (4, −0.5) is on the circle.

The equation of the circle is ( − 3)² + ( + 6)² = 32

On a coordinate plane, circle has its center at the point (3, 6). The point (1, 2) is on circle .Which

Answers

We can conclude that the equation of the circle is (x - 3)² + (y + 6)² = 32, where (3, -6) is the center and 4√2 is the radius. Option 3 and 6 are correct  options.

Based on the information given, we know that circle has its center at the point (3, -6) and a radius of 4√2. We also know that the point (-1, -2) and (4, -0.5) are on the circle.

Using the distance formula, we can confirm that the distance between the center of the circle and each of these points is indeed 4√2.

This equation can be simplified to x² - 6x + y² + 12y + 1 = 0 by expanding and combining like terms. This is the equation of circle , and any point that satisfies this equation will be on the circle. Option 3 and 6 are correct  options.

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It Quiz: Graphs and Measurement
Diana is making enough soup to feed 9 people. She plans to serve all of the soup to her guests in 6-ounce bowls.
In order to make enough soup, she needs to add a total of 4.75 cups of water. There are 8 ounces in a cup.
How many total ounces of water did Diana add to her soup? What is the total number of ounces of the other
ingredients in her soup? Explain how you found your answers.
Type your answer in the box below.
mentum
Copyright© 2022 Edmentum, Inc. All Rights Reserved
Privacy Policy California Priv
Mar 10
11:

Answers

Answer:

1. 57/16 or 3.5625 ounces of water

8 : 4.75

1 : 19/32  -----> divide both by 8

19/32x6=57/16 = 3.56 ounces

2. 2.4375 ounces of other ingredients

6-3.5625=2.4375

Find x. √11 X = √17 VIRI X​

Answers

1.243 is the measure of the value of x from the given expression

Solving rational equations

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.


Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

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Terrell sells clay pots. He sells 2 clay pots for $6, 3 clay pots for $9, and 4 clay pots for $12. What is the unit rate of dollars per clay pot?

A
1

B
2

C
3

D
4

Answers

Answer is C, which is 3
The answer to this is 3 which choice c because all i did was ask myself what times the given numbers get me to 6,9, and twelve

Fill in the table using this function rule.
y=-3x-3
X
-2
-1
0
1
y
0
0
0
X
Ś

Fill in the table using this function rule.y=-3x-3X-2-101y000X

Answers

Answer:

X    |   y

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

-2   |   3

-1   |   0

0   |  -3

1   |  -6

Y = -3
x - 5y = 7
I have the answer I don’t know how to show my work

Answers

Answer:

Step-by-step explanation:

To use substitution in this problem, you find the Y which ='s -3. That we have clear. Now, the second equation becomes x - 5(-3) =7. A negative times a negative is a positive, so 15. Now, we have x + 15 = 7. Subtract 15 from 7 to get x = -8. Your coordinates, or your answer, will be (-8, -3)

Answer:

  (x, y) = (-8, -3)

Step-by-step explanation:

"Show your work" means write down the work you did.

Very likely, you put -3 where y is in the second equation. That is what "substitution" means.

  x -5(-3) = 7

  x +15 = 7 . . . simplify

  x = -8 . . . . . subtract 15 from both sides

The solution to this system is ...

  (x, y) = (-8, -3)

In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were obtained. 0.10 0.13 0.16 0.15 0.14 0.08 0.15 (a) Construct a 99% confidence interval for the mean nitrogen-oxide emissions of all cars. (b) If the EPA requires that nitrogen-oxide emissions be less than 0.165 g/mi, based on the 99% confidence interval in (a),

Answers

The question is incomplete. Here is the complete qeustion.

In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were obtained: 0.10 0.13 0.16 0.15 0.14 0.008 0.15

(a) Construct a 99% confidence interval for the mean nitrogen-oxide emissions of all cars.

(b) If the EPA requires that nitrogen-oxide emissions be less than 0.165 g/mi, based on the 99% confidence interval in (a), can we safely conclude that this requirement is being met?

Answer: (a) 0.089 ≤ μ ≤ 0.171

(b) No

Step-by-step explanation:

(a) To determine the confidence interval, first calculate the mean (X) and standard deviation (s) of the sample

X = \(\frac{0.1+0.13+0.16+0.15+0.14+0.08+0.15}{7}\)

X = 0.13

s = \(\sqrt{\frac{(0.1-0.13)^{2} + (0.13 - 0.13)^{2} + ... + (0.15 - 0.13)^{2}}{7-1} }\)

s = 0.029

The degrees of freedom is

N - 1 = 7 - 1 = 6

And since the confidence is of 99%:

α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005

The t-test statistics for \(t_{6,0.005}\) is 3.707

(Value found in the t-distribution table)

Now, calculate Error:

E = \(t_{6,0.005}\) . \(\frac{s}{\sqrt{N} }\)

E = 3.707. \(\frac{0.029}{\sqrt{7} }\)

E = 0.041

The interval will be:  

0.13 - 0.041 ≤ μ ≤ 0.13+0.041

0.089 ≤ μ ≤ 0.171

(b) No, because according to the interval, the nitrode-oxide emissions range from 0.089 to 0.171, which is greater than required by EPA.

A table of data is given.
x f(x)
-2 128
-1 27
0 5
1 1
2 0.1
Which exponential model best represents the data?

Answers

The exponential equation will be y = 10 (0.1)ˣ.

What is an exponent?

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

The table of data is given.

x         f(x)

-2        128

-1          27

0          5

1            1

2         0.1

Then the equation will be

f(x) = abˣ

At x = 1, the value of f(x) is 1.

1 = ab ...1

At x = 2, the value of f(x) is 0.1.

0.1 = ab² ...2

Then from equations 1 and 2, we have

0.1 = b

Then the value of a will be

a = 1 / 0.1

a = 10

Then the exponential equation will be

y = 10 (0.1)ˣ

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Answer: f(x)=5(0.2)x

Step-by-step explanation:

I GOT IT RIGHT

A table of data is given.x f(x)-2 128-1 270 51 12 0.1Which exponential model best represents the data?

What is the northerly Component of a wind blowing at 15ms from the South East?​

Answers

The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.

To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.

A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.

To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.

If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.

The northerly component can be found using the sine of the angle:

Northerly Component = Wind Speed * sin(Angle)

Northerly Component = 15 m/s * sin(45°)

Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:

Northerly Component ≈ 15 m/s * 0.707

Northerly Component ≈ 10.605 m/s

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(a)
There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get?

Answers

Answer: 0.3

Step-by-step explanation:

Two rectangles of the same shape have areas of 676 and 3,457 square centimetres. If the shorter side of the larger rectangle is 41 centimetres, what are the dimensions of the smaller one?

Answers

The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.

Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).

We know that the area of the smaller rectangle is 676 square centimeters:

L * W = 676    ----(1)

We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.

The area of the larger rectangle is 3457 square centimeters:

41 * H = 3457    ----(2)

Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.

In order to find H, we can use equation (2):

H = 3457 / 41

H ≈ 84.22

Now we can substitute this value of H into equation (1):

L * W = 676

We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.

Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676

By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:

L = 13

W = 52

Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.

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Graph y=100(1+0.06)x

Graph y=100(1+0.06)x

Answers

Answer:

Step-by-step explanation:

Graph y=100(1+0.06)x

Are 22 42 60 a right triangle or not?

Answers

Answer:First things first, let's explain what a right triangle is. The definition is very simple and might even seem obvious for those who already know it: a right-angled triangle is a triangle where one and only one of the angles is exactly 90°. The other two angles will clearly be smaller than the right angle because the sum of all angles in a triangle is always 180°.

In a right angled triangle the sides are defined in a special way. The side opposing the right angle is always the biggest in the triangle and receives the name of "hypotenuse". The other two sides are called catheti. The relationship between the hypotenuse and each of the cathetus is a very simple one, as we will see when we will talk about Pythagoras' theorem.

Hypotenuse calculator

If all you want to calculate is the hypotenuse of a right triangle, this page and its right triangle calculator will work just fine. However, we would also recommend to use the specific tool we have developed at Omni Calculators: the hypotenuse calculator. The hypotenuse is opposite the right angle and can be solved by using the Pythagorean theorem. In a right triangle with cathetus a and b and with hypotenuse c, Pythagoras' theorem states that: a² + b² = c².

To solve for c, take the square root of both sides to get c = √(b²+a²). This extension of the Pythagorean theorem can be considered as a "hypotenuse formula". A Pythagorean theorem calculator is also an excellent tool for calculating the hypotenuse.

Let's now solve a practical example of what it would take to calculate the hypotenuse of a right triangle without using any calculators available at Omni:

Obtain the values of a and b,

Square a and b,

Sum up both values: a² + b²,

Take the square root of the result,

The square root will yield a positive and negative result. Since we are dealing with length, disregard the negative result,

The resulting value is the value of the hypotenuse c.

Now let's see what the process would be using one of Omni's calculator, for example, the right triangle calculator on this web page:

Insert the value of a and b into the calculator

Obtain the value of c immediately

As a bonus, you will get the value of the area for such a triangle.

Step-by-step explanation:Hope this helped u also may i have brainlist plz?

PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((

PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((

Answers

Answer:I’m pretty sure it would be two tenths

Step-by-step explanation:

I haven’t done it in a while so I’m not sure

What is the slope of the line that passes through the points (1, -7) and (1, 13)?
Write your answer in simplest form.

Answers

Answer:

Undefined

Step-by-step explanation:

An expression in mathematics which does not have meaning and so which is not assigned an interpretation. For example, division by zero is undefined in the field of real numbers.

Please answer ASAP I will brainlist

Please answer ASAP I will brainlist

Answers

Answer:

log(3x⁹y⁴) = log 3 + 9 log x + 4 log y

Answer:

\(\log 3+ 9\log x +4 \log y\)

Step-by-step explanation:

Given logarithmic expression:

\(\log 3x^9y^4\)

\(\textsf{Apply the log product law:} \quad \log_axy=\log_ax + \log_ay\)

\(\log 3+\log x^9 +\log y^4\)

\(\textsf{Apply the log power law:} \quad \log_ax^n=n\log_ax\)

\(\log 3+ 9\log x +4 \log y\)

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