A gym subscription runs several promotions. Customers can choose from the following offers.



Option A: 25% off an annual subscription of $308. 00


Option B: pay $29 per month


How much will a customer save by purchasing the annual subscription over paying per month?



a


$348


b


$231


c


$79


d


$117

The coordinate of first stop of bus which is halfway through the route. is (9, -9).

What is coordinate?

Using the horizontal and vertical separations from the two reference axes, a coordinate is a pair of numbers that expresses a point's location on a coordinate plane. generally expressed by the x-value and y-value pair (x,y).

We have to find the coordinate of first stop of bus which is halfway through the route.

It means, We have to find the coordinates of the midpoint of line segment which has start point and end point coordinates as A(-10, 10) and B(8, -8).

The formula to get the mid point coordinate of a line segment which start point and end point coordinates as A(x₁, y₁) and B(x₂, y₂) is:

\(M(a,b) = (\frac{x_2 -x_1}{2} , \frac{y_2-y_1}{2} )\)

putting the value from question:

\(M(a,b) = (\frac{8 -(-10)}{2} , \frac{-8-10}{2} )\)

M(a, b) = (9, -9)

Therefore the coordinate of the midpoint is (9, -9)

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Answer:

504 is the correct answer.

Step-by-step explanation:

The ideal way to organize electronically the raw data for a study is to create a structured database or spreadsheet that can easily and efficiently store, sort, and analyze the data.

This will allow for easy retrieval and manipulation of the data, as well as the ability to perform statistical analysis and generate reports. It is important to ensure that the data is accurately recorded and labeled to prevent errors and ensure consistency. Additionally, proper data security measures should be in place to protect the confidentiality and integrity of the data.

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The ideal way to organize electronically the raw data for a study is to use a standardized format, such as a spreadsheet or database, with clear and consistent labeling for each variable.

It is important to ensure that the data is accurate, complete, and easily accessible, and to maintain appropriate security and privacy measures to protect the confidentiality of study participants. Additionally, it is recommended to create a data management plan outlining the procedures for data collection, storage, and sharing throughout the study. This plan should be reviewed and updated regularly to ensure that it remains effective and compliant with relevant regulations and ethical standards. The ideal way to organize electronically the raw data for a study is to use a structured and systematic approach, such as creating a well-designed database or spreadsheet. This allows for efficient data management, easy access, and accurate analysis.

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Answer is 41

Hope it help you

Answer:Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form. 1.23 × 108; If you observe carefully, 1.23 is a decimal number between 1.0 and 10.0 and so we have the standard form of 123,000,000 as 1.23 × 10 8.

Step-by-step explanation:

P.S i am emo

The volume of the spherical cap is approximately 186624π cubic units.

A spherical cap is a portion of a sphere that lies between two parallel planes that intersect the sphere. To find the volume of a spherical cap with radius and height , we can use the following formula:

V = \(\frac{\pi h^{2}}3(3r-h)\)

where is the radius of the sphere.

Substituting the given values of and , we get:

V=\(\frac{\pi (24)^{2}}3(3*37-24)\)

Simplifying this expression, we obtain:

V= \(\frac{\pi (576)}3(81)\)

V=186624\(\pi\)

Therefore, the volume of the spherical cap with radius 37 and height 24 is approximately 186624π cubic units.

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The volume of the spherical cap is approximately 186624π cubic units.

A spherical cap is a portion of a sphere that lies between two parallel planes that intersect the sphere. To find the volume of a spherical cap with radius and height , we can use the following formula:

V = \(\frac{\pi h^{2}}3(3r-h)\)

where is the radius of the sphere.

Substituting the given values of and , we get:

V=\(\frac{\pi (24)^{2}}3(3*37-24)\)

Simplifying this expression, we obtain:

V= \(\frac{\pi (576)}3(81)\)

V=186624\(\pi\)

Therefore, the volume of the spherical cap with radius 37 and height 24 is approximately 186624π cubic units.

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Answer:

Each person will get 4 and 2/10 brownies.

Step-by-step explanation:

21 divided by 5 =4.2

Answer:

Classify the sequence {1, 6, 11, 16, 21, …}.

The pattern is +5:

1 + 5 = 6

6 + 5 = 11

11 + 5 = 16

16 + 5 = 21

21 + 5 = 26

And so on

Step-by-step explanation:

You're welcome

Answer:

B) (-2,6)

Step-by-step explanation:

Where do the two lines intersect? That is where the solution is.

Hope this helps

Answer:

I believe the answer B ( I think)

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the linear equations.

hence , we equate this equation to zero.

p(x) = 0

===> 5x+7 = 0

hence, x = -7/5

====> zero of the polynomial, x => -7/5

Answer:

x = - \(\frac{7}{5}\)

Step-by-step explanation:

To find the zero let p(x) = 0 , that is

5x + 7 = 0 ( subtract 7 from both sides )

5x = - 7 ( divide both sides by 5 )

x = - \(\frac{7}{5}\) ← zero

Answer:

y = 8*(9/4)^x

Point (1.5, 27)

Step-by-step explanation:

We can solve each unknown in separate steps.  The first step is to take advantage of given point (0,8) to find the value of a.  Since x is zero, b^x will just be 1, regardless of b.  That makes it easy to solve for a, which is found to be 8.      

Once a is known, we can use the next point (1,18) to solve for b.  b is (9/4).  

Once we have a and b, we have the full equation:  y = 8*(9/4)^x

k is found by entering the x value and solving for y (which is k).  k = 27

See attached worksheet

Answer:

C

Step-by-step explanation:C

The correct points are (1, 2) and (0,1).

To find the points that lie in the inverse of the graph of a function g(x), we need to swap the x and y values of the original graph.

Let's start by representing the original graph of g(x):

x | g(x)

-1 | 0.5

0 | 1

1 | 2

2 | 4

3 | 8

Now, we swap the x and y values:

y | x

0.5 | -1

1 | 0

2 | 1

4 | 2

8 | 3

These are the corresponding points for the inverse function.

So, the points that lie in the inverse of the graph of g(x) are:

(-1, 0.5), (0, 1), (1, 2), (2, 4), (3, 8).

Hence the correct points are (1, 2) and (0,1).

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Answer:

A right 4 down 5

Step-by-step explanation:

counting the grid spaces from any point for example R and going to the point R' (R prime) will give you the translation

Answer:

See below.

Step-by-step explanation:

They invested in a ratio of Julie:Kristen of 5:12.

5 + 12 = 17

Julie invested 5/17 of the amount, and Kristen invested 12/17 of the mount.

a.

Julie: 5/17 * $51,000 = $15,000

Kristen: 12/17 * $51,000 = $36,000

b.

Kristen owns 12/17 of the business.

As a percent, 12/17 = 12/17 * 100% = 70.6%

c.

The percent of the business each owns does not change with the amount the company is worth.

Kristen owns 70.6%, so Julie owns 100% - 70.6% = 29.4%

There are 4095 proper subsets contained in V, which is the set of odd positive integers less than 20. A proper subset excludes the set itself, and the total number of subsets can be calculated using the formula \(2^n\).

To determine the number of proper subsets contained in V, we need to understand the concept of subsets. A subset is a collection of elements taken from a given set without considering the order or repetition of elements. In this case, the set V consists of positive odd integers less than 20.

To calculate the number of subsets, we can use the formula \(2^n\), where n is the number of elements in the set. However, since we are looking for proper subsets, we need to subtract one from the total number of subsets to exclude the empty set.

In this case, the set V contains 10 positive odd integers less than 20, which are {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}. Therefore, the total number of subsets would be \(2^1^0\) = 1024. However, since we need to exclude the empty set, the number of proper subsets would be 1024 - 1 = 1023.

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The sum of the numbers is  (2x + z) + (2y + 10)i. If the difference of two complex number is -10i and the product is 34.

Let the two complex numbers be x + yi and z + wi, where x, y, z and w are real numbers.

We are given that their product is 34, thus

(x + yi) (z + wi) = 34

z(x + yi) + wi(x + yi) = 34 + 0i_____(1)

We are also given that their difference is -10i, thus

(x + yi) - (z + wi) = -10i

(x - z) + (y - w)i = 0 - 10i_____(2)

Simplifying equation (2), we get

x - z = 0 and y - w = -10

We are asked to find the sum of the numbers, thus

(x + yi) + (z + wi) = 2x + 2yi___(3)

We can simplify equation (1) as follows:

34z + wi = 34x + 34yi - wi - yi

We can substitute equation (2) into the above equation:

34z + wi = 34x + 34yi + yi - 10i

We can further simplify the above equation as:

34z + wi = 34x + 35yi - 10i

We can then use the fact that x - z = 0 to express one variable in terms of the other.

Solving for w in equation (2), we get:

w = y + 10

Thus, we can substitute w = y + 10 into equation (3) and simplify as follows:

(x + yi) + (z + (y + 10)i)

= 2x + 2yi + z + 10i

= (2x + z) + (2y + 10)i

The sum of the numbers is thus (2x + z) + (2y + 10)i.

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Answer:

Step-by-step explanation:

B

h(-1) is undefined in the real number system since the square root of a negative number is not a real number.

What is the real number?

Real numbers are a set of numbers that include all rational and irrational numbers. They can be represented on the number line and are often used to represent physical quantities such as distance, time, and temperature.

To find h(-1), we substitute -1 for x in the given equation for h(x) and simplify:

h(x) = (√x+5)/(6x-2)

h(-1) = (√(-1)+5)/(6(-1)-2) [Substitute x=-1]

= (√(-1) is not a real number, since the square root of a negative number is not real]

Therefore, h(-1) is undefined in the real number system since the square root of a negative number is not a real number.

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Answer:

$24,800

Step-by-step explanation:

that's how much the car costs at year 0

Answer:

Step-by-step explanation:

The starting value, y intercept, is just the initial value as it has not depreciated when time or x is zero.

The equation described is y=24800(0.88)^x

Jaden may have had a ["smaller", "larger"] sample size. The correct choice is: "larger."

Jaden may have had ["more", "less"] variability (a ["larger", "smaller"] standard deviation) in his survey responses.
Your answer: more (a larger standard deviation)

In statistics, the sample size is the measure of the number of individual samples used in an experiment. For example, if we are testing 50 samples of people who watch TV in a city, then the sample size is 50. We can also term it Sample Statistics.

Sample size refers to the number of participants or observations included in a study. This number is usually represented by n.

The size of a sample influences two statistical properties:

1) the precision of our estimates and

2) the power of the study to draw conclusions.

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The size of each section of the circle graph are 40%, 20%, 10%, 15%, and 15%.

A circle graph representing the data in this survey is shown below.

In Mathematics, a circle graph is sometimes referred to as a pie chart and it can be defined as a type of graph that is used for the graphical representation of the proportional relationship between each part to a whole, especially by dividing a circle into various sectors or sections.

Since there were 180 students surveyed, their preference can be calculated as follows:

Strawberries = 72/180 × 100 = 40%

Grapes = 36/180 × 100 = 20%

Bananas = 18/180 × 100 = 10%.

Oranges = 27/180 × 100 = 15%.

Apples = 27/180 × 100 = 15%.

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Answer:

4

Step-by-step explanation:

first substitute 1 on the x on the function

which is -2(1)²+ 2(1) + 4

then next simplify to -2 + 2 + 4

when you add the answer is 4

In statistical experiments, each time the experiment is repeated, a different outcome may occur. The correct answer is C.

Statistical experiments involve random processes, such as the random selection of individuals from a population, the random assignment of subjects to groups, or the random measurement of a variable.

The outcome of a statistical experiment is influenced by chance and is inherently uncertain, so it is not possible to guarantee that the same outcome will occur every time the experiment is repeated. Different outcomes may occur, even if the experimental conditions are kept constant, due to the random nature of the processes involved.

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a)  The only possible value of x that satisfies the equation is x = 7/6.

b)  Therefore, the only possible value of x that satisfies the equation is x ≈ 4.2.

a) In x + In 2 = ln 7 - In 3

We can simplify the left-hand side of the equation using the property that the logarithm of a product is the sum of the logarithms of the factors:

In(x * 2) = ln(7/3)

Taking the exponential of both sides (with base e), we get:

x * 2 = e^(ln(7/3)) = 7/3

Dividing both sides by 2, we obtain:

x = (7/3) / 2 = 7/6

Therefore, the only possible value of x that satisfies the equation is x = 7/6.

b) log4(x-3) + log4(x + 9) = 3

Using the property that the logarithm of a product is the sum of the logarithms of the factors, we can combine the two logarithms on the left-hand side into a single logarithm:

log4((x-3)(x+9)) = 3

Writing the right-hand side as a logarithm with base 4, we have:

log4(64) = 3

Therefore, we can rewrite the equation as:

log4((x-3)(x+9)) = log4(64)

By the one-to-one property of logarithms, we know that the argument of both logarithms must be equal:

(x-3)(x+9) = 64

Expanding the left-hand side, we get:

x^2 + 6x - 27 = 0

Using the quadratic formula, we can solve for x:

x = (-6 ± sqrt(6^2 - 4*(-27)))/2

x = (-6 ± sqrt(180))/2

x ≈ -10.2 or x ≈ 4.2

However, we must check that these solutions satisfy the original equation. For x ≈ -10.2, both arguments of the logarithms become negative, which is not allowed. For x ≈ 4.2, we have:

log4(1) + log4(13) = 0 + 1.34 ≈ 1.34

which is indeed equal to 3. Therefore, the only possible value of x that satisfies the equation is x ≈ 4.2.

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Answer:

f(x)=9x-8

y=9x-8 replace y with x

x=9y-8

x+8=9y

y=(x+8)/9

f^-1(x)=(x+8)/9

Step-by-step explanation:

Answer:your answer to this prob,problem, is c) $108.75

Step-by-step explanation:

dz/dy = \(\frac{1}{2\sqrt{x^2+y^2}\cdot tan^2 \sqrt{x^2+y^2}}\cdot \frac{\partial (x^2+y^2)}{\partial y} \cdot z^{1-x}\) - \(6xz^x\)e^6y\)

Given that z is a function of x and y, and tan √y^2+x^2 = z^x e^6y,
the derivatives dz/dx and dz/dy are to be found.
We have, tan √y^2+x^2 = z^x e^6y...(1)
Taking log both sides of equation (1), we have;
log (tan √y^2+x^2) = log (z^x e^6y)
log (tan √y^2+x^2) = log z^x + log e^6y
Taking derivative with respect to x on both sides, we get;
\(\(\frac{1}{tan^2 \sqrt{x^2+y^2}}\cdot \frac{1}{2\sqrt{x^2+y^2}} \cdot \frac{\partial (x^2+y^2)}{\partial x}\) = \(z^x \cdot \frac{1}{z}\cdot\frac{\partial z}{\partial x}\) + \(6ye^{6y}\)\)
Taking derivative with respect to y on both sides, we get;
\(\(\frac{1}{tan^2 \sqrt{x^2+y^2}}\cdot \frac{1}{2\sqrt{x^2+y^2}} \cdot \frac{\partial (x^2+y^2)}{\partial x}\) = \(z^x \cdot \frac{1}{z}\cdot\frac{\partial z}{\partial x}\) + \(6ye^{6y}\)\)
Hence,
\(dz/dx = \(\frac{1}{2\sqrt{x^2+y^2}\cdot tan^2 \sqrt{x^2+y^2}}\cdot \frac{\partial (x^2+y^2)}{\partial x} \cdot z^{1-x}\) - \(6yz^x\)e^6yand dz/dy = \(\frac{1}{2\sqrt{x^2+y^2}\cdot tan^2 \sqrt{x^2+y^2}}\cdot \frac{\partial (x^2+y^2)}{\partial y} \cdot z^{1-x}\) - \(6xz^x\)e^6y\)

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What initial investment must be made to accumulate $120000 in 12 years if the money is invested in a mutual fund that pays 14%

annual interest, compounded monthly?

Remember that

The compound interest formula is equal to

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

A=$120,000

t=12 years

r=14%=14/100=0.14

n=12

substitute in the given formula

Solve for P

Answer:

36x + 60y

explanation:

Answer:

36 x + 60 y

Step-by-step explanation: