The holiday health club has reduced its annual membership by 10%. if jorge sanchez purchases a years membership and pays $270, what is the regular membership fee?

Answer:

B) 131°

Step-by-step explanation:

-4a + 139 = 4a + 123 because they are vertical angles

-4a + 139 = 4a + 123

reduce:

8a = 16

a = 2

4(2) + 123 = 131°

7: -69

8: -2+3-4 = -3

9: $ (5y+10)

The standard deviation is 7.35.

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group

In order to determine the standard deviation, take the following steps:

Determine the mean of the observation: (87 + 91 + 74 + 73 + 80 + 84 + 68 + 75) / 8 =79

Determine the difference between each value and the mean and then square the result:

(87 - 79)² + ( 91 - 79) ² + (74 - 79)² + (73 - 79)² + (80 - 79)²  + (84- 79)²  + (68 - 79)²  +( 75- 79) ²

64 + 144 + 25 + 36 + 1 + 25 + 121 + 16 = 432

Determine the mean of the sum of the squared differences and then find the square root of the mean:

√432 / 8 = 7.35

To learn more about standard deviation, please check: https://brainly.com/question/26201837

#SPJ1

Answer:

x=25, y=19

Step-by-step explanation:

130+2x=180

x=25

54+2x+4y=180

y=19

Answer:

x = 25 , y = 19

Step-by-step explanation:

130° and 2x° are adjacent angles on a straight line and sum to 180° , so

130 + 2x = 180 ( subtract 130 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25

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

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

130° is an exterior angle of the triangle , then

54 + 4y = 130 ( subtract 54 from both sides )

4y = 76 ( divide both sides by 4 )

y = 19

The vertex, focus, and directrix of the parabola 5x^2 + 16y = 0 are (0, 0), (-4/5, 0), and x = 4/5, respectively.

To find the vertex, focus, and directrix of the parabola with the equation 5x^2 + 16y, we can use the standard form of the equation for a parabola:

y = (1/4p)(x - h)^2 + k

where (h, k) is the vertex and p is the distance between the vertex and the focus or the vertex and the directrix.

Comparing the given equation to the standard form, we have:

5x^2 + 16y = 0
=> 16y = -5x^2
=> y = -(5/16)x^2

From this, we can determine that the vertex is at the origin (0, 0).

To find p, we can use the formula p = 1/(4a), where a is the coefficient of x^2. In this case, a = -5/16, so p = 1/(4*(-5/16)) = -4/5.

Therefore, the vertex is (0, 0), the focus is (-4/5, 0), and the directrix is x = 4/5.

In conclusion, the vertex, focus, and directrix of the parabola 5x^2 + 16y = 0 are (0, 0), (-4/5, 0), and x = 4/5, respectively.

Know more about directrix here,

https://brainly.com/question/29498952

#SPJ11

Answer:

1. 48 sticks, 49 dots

2. 60 sticks, 61 dots

3. figure 13, 157 dots

Step-by-step explanation:

The pattern increases by 12 sticks each time. The number of dots is equal to the number of lines plus 1. An easy way to figure it out is to multiply the figure number by 12 to find the number of lines and then add one more for the number of dots. To solve 3, divide the number of sticks by 12 to find the figure number, and add one to the number of sticks to get the number of dots.

The Answer is x2=4, x1=0, and x3=0; S1=1, S2=0. Therefore, S2=0 is basic and S1=1 is nonbasic. x1=0 is basic and X1=6, X2=4, and X3=0 are nonbasic.

The basic feasible solution from the given tableau X1 X2 Хз S1 S2 Z 0 0160 6 -1 1 1 0 148 2 4 0 -6 -10 -5 0 0 1143 is:x2=4, x1=0, and x3=0; S1=1, S2=0. Therefore, S2=0 is basic and S1=1 is nonbasic. x1=0 is basic and X1=6, X2=4, and X3=0 are nonbasic. The basic feasible solution is achieved when all the constraints in a linear programming problem are met. The constraints can be in the form of equations or inequalities. The linear programming problem provides the optimal values for a given objective function. The optimal values are determined by the constraints that are involved in the problem. In the given problem, X2 and S1 are basic, and X1, Xx3, and S2 are nonbasic. Indicate which variables are basic and which are nonbasic.The variables that are basic and nonbasic can be calculated from the tableau. The basic variables are those that have the coefficients of 1 in the final column. The nonbasic variables are those that have the coefficients of 0 in the final column. Therefore, x2=4, x1=0, and x3=0; S1=1, S2=0. Therefore, S2=0 is basic and S1=1 is nonbasic. x1=0 is basic and X1=6, X2=4, and X3=0 are nonbasic.

Learn more about Tableau

brainly.com/question/25531734

#SPJ11

The expression

f(t) = 5t + 11

Is read verbally as, "function of t at 5t plus 11."

This is alredy

Answer:

either take the value as 3.14 or press     SHIFT      x10^x

Answer:

D

Step-by-step explanation:

You are looking for a triangle that has the sides 14mm and 15mm forming an angle of 100 degrees

First, you can eliminate A and B because they don't have an angle that is 100 degrees!

Now all you have left is C and D

In figure C, the sides 14 and 15 do not make up the angle of 100 degrees

But 14 and 15 make a 100 degree angle in figure D!

Therefore the answer is D

Answer:

434.9

Step-by-step explanation:

The circumference is 29.53.

Hope that this helps!

Answer:

\(-\frac{22}{91} = x\)

Step-by-step explanation:

To solve the equation \(3x - 23 = 94x - 1\), we'll follow these steps:

Start by simplifying the equation by combining like terms. In this case, we have terms with x on both sides, as well as constants:

\(3x - 23 = 94x - 1\)

To isolate the x terms, we can subtract 3x from both sides of the equation:

\(3x - 3x - 23 = 94x - 3x - 1\)

Simplifying further, we get:

\(-23 = 91x - 1\)

Next, we want to isolate the constant term on one side of the equation. We can do this by adding 1 to both sides:

\(-23 + 1 = 91x - 1 + 1\)

Simplifying further:

\(-22 = 91x\)

Finally, we can solve for x by dividing both sides of the equation by 91:

\(-\frac{22}{91}=\frac{91x}{91}\)

Simplifying further:

\(-\frac{22}{91} = x\)

Therefore, the solution to the equation \(3x - 23 = 94x - 1\) is \(-\frac{22}{91} = x\)

Answer:

Step-by-step explanation:

To determine which option is better for Jan Schmidt, we need to calculate the potential return on investment for each option.

Option 1: Farm Purchase

If Jan purchases the farm for $500,000, he will have a physical asset that he can potentially sell for a profit in the future. However, owning a farm also comes with expenses such as maintenance, taxes, and insurance. Assuming he does not sell the farm and the value remains constant, his return on investment would be 0%.

Option 2: Equity Fund Investment

If Jan decides to invest his money in an equity fund that has earned 14% over the past seven years, we can calculate his potential return on investment using the compound interest formula:

A = P(1 + r/n)^(nt)

where:

A = the future value of the investment

P = the principal amount invested

r = the annual interest rate (as a decimal)

n = the number of times interest is compounded per year

t = the number of years

Assuming Jan invests $500,000 in the equity fund and it compounds annually, his potential return on investment after 7 years would be:

A = 500,000(1 + 0.14/1)^(1*7)

A = $1,308,956.92

Therefore, investing in the equity fund would potentially yield a return on investment of approximately $808,956.92 (A - P).

Based on these calculations, it seems that investing in the equity fund would be the better option for Jan Schmidt, as it has the potential to yield a higher return on investment compared to purchasing the farm.

The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.

A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.

The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.

You can learn more about pivot column at

https://brainly.com/question/29786913

#SPJ4

After calculating and analyzing the given question, the bank officer should be inclined to take a sample of at least 133 under the condition of within $200 (MOE) of the actual average with 99% confidence.

In the event of determining the size sample needed for understanding average total monthly deposits by implementing the formula

n = (z x Σ / E)²

here,

n = sample size,

z = z-score involving  the desired level of confidence,

Σ = population standard deviation,

E = margin of error

Staging the values in the formula

n = (2.576 * 1000 / 200)² = 132.71

≈ 133

After calculating and analyzing the given question, the bank officer should be inclined to take a sample of at least 133 under the condition of within $200 (MOE) of the actual average with 99% confidence.

To learn more about monthly deposits,

https://brainly.com/question/31112326

#SPJ4

We can be 95% confident that the true mean loss in value for all bids in this community is between $8397.81 and $9342.19 based on the given sample.

Yes, we can use the given data to construct a 95% confidence interval for the mean loss in value for all bids in this community.

To construct the confidence interval, we first need to calculate the standard error of the mean, which is the standard deviation of the sample divided by the square root of the sample size. In this case, the standard error of the mean is:

standard error of the mean = \($\frac{1645}{\sqrt{49}}=235.08$\)

Next, we use a t-distribution with 48 degrees of freedom (since we used a sample size of 49) to find the margin of error for a 95% confidence interval. The t-value for a 95% confidence interval with 48 degrees of freedom is 2.01.

margin of error = 2.01 * (235.08) = 472.19

Finally, we can construct the 95% confidence interval by adding and subtracting the margin of error from the sample mean:

95% confidence interval = $8870 ± $472.19 = ($8397.81, $9342.19)

To learn more about standard error

https://brainly.com/question/14524236

#SPJ4

Answer:

1.98*1/8=0.2475

0.2475=0.25

Answer:

535.78

Step-by-step explanation:

Dont how to explain

Answer:

the answer is d

Step-by-step explanation:

so ur welcome

Answer:

I say the same.

Step-by-step explanation:

I hope it is right

An augmented matrix is invertible if the linear system has a unique solution.

The augmented matrix is known as a rectangular matrix.

The properties of an augmented matrix includes:

Note that the inverse of a matrix must be unique

And If A is invertible, then its inverse is unique.

If the linear system is unique, then the augmented matrix is invertible.

Thus, an augmented matrix is invertible if the linear system has a unique solution.

Learn more about augmented matrices here:

https://brainly.com/question/12994814

#SPJ12

The steps of atp synthesis include as the c ring rotates, the y subunit rotates and interacts with the c subunit, and each B subunit binds ADP, protons from the intermembrane space bind to protons binding sites on c subunits.

Hence, The steps of atp synthesis include as the c ring rotates, the y subunit rotates and interacts with the c subunit, and each B subunit binds ADP, protons from the intermembrane space bind to protons binding sites on c subunits.

To learn more about Adenosine diphosphate refer to:

https://brainly.com/question/897553

#SPJ1

Answer:

Hey! This is already answered on Brainly but here you go!

Step-by-step explanation:

Though my apologies if this isn't what you were looking for...

Option D is correct. 73.9 percent of the workforce between the ages of 25 and 65 has achieved post-secondary educational credentials in Canada.

According to the most recent data from Statistics Canada, approximately 73.9 percent of the workforce between the ages of 25 and 65 has achieved post-secondary educational credentials in Canada. This data shows a significant increase in the number of Canadians who have pursued higher education in recent years, reflecting a trend towards increased investment in education and training as a means of achieving higher levels of skills and knowledge.

This high percentage of workers with post-secondary credentials is a positive indicator of the strength of Canada's economy, as it demonstrates a well-educated and highly skilled workforce. This, in turn, attracts investment and contributes to the growth of industries, creating new job opportunities and fostering economic prosperity.

Furthermore, the attainment of post-secondary education is associated with higher earnings and improved job prospects, both of which contribute to greater overall financial security and stability. As such, the high percentage of the workforce with post-secondary credentials in Canada is a testament to the country's commitment to education and the pursuit of economic and personal success.

To know more about Canada click here:

https://brainly.com/question/4280791#

#SPJ11

The average weight of the colony over the interval [1,4] is 47.83 newtons

The average value of a function is found by taking the integral of the function over the interval and dividing by the length of the interval.

Given,

\(w(t)=12.5e^{0.5t}\)

The average value of the given function

\(w_{avg} =\frac{1}{b-a}\int\limits^a_b {w(t)} \, dt\)

Here the interval is [1,4]

Therefore, a=1 and b= 4.

Substitute the values of w(t),a and b in the equation

\(w_{avg}= \frac{1}{4-1}\int\limits^4_1 {12.5e^{0.5t} } \, dx \\w_{avg}= \frac{1}{3}\int\limits^4_1 {\frac{25e^{0.5t} }{2} } \, dx\)

Consider,

\(u=\frac{t}{2}\\ \frac{du}{dt}=\frac{1}{2}\\dt=2du\)

Then,

\(w_{avg}= \frac{25}{3}\int\limits^4_1 {e^{u} } \, du\\ w_{avg}= \frac{25}{3}[e^{4/2}-e^{1/2}]\\ w_{avg}= \frac{25}{3}[e^{2}-\sqrt{e}]\\ w_{avg}= \frac{25}{3}[5.74]\\ w_{avg}=47.83\)

Hence, the average weight of the colony over the interval [1,4] is 47.83 newtons

Learn more about average value here

brainly.com/question/14402983

#SPJ4

it's important to recognize that different individuals have unique ways of coping with and releasing tension.

Some people find solace in activities such as meditation, exercise, or engaging in hobbies and creative pursuits. Others may seek support from friends, family, or therapists to talk through their feelings and find healthy outlets.

It's crucial to find healthy and constructive ways to release tension rather than resorting to harmful or destructive behaviors. This could involve engaging in physical activities like running, yoga, or sports to channel and release pent-up energy. Creative outlets like writing, painting, or playing an instrument can provide a means of self-expression and emotional release.

Ultimately, finding a release that works for each individual depends on personal preferences, interests, and circumstances. It's essential to explore different options and identify healthy outlets that promote well-being and help manage stress and tension effectively.

To learn more about tension click here:

brainly.com/question/10169286

#SPJ11