if the percent of discount is 64% and the sale price is $72 what is the original price

To isolate cc in the equation (1/c - 1), we need to rearrange the equation to solve for cc. By applying algebraic manipulation, we can transform the equation into a form where cc is isolated on one side.

Let's start with the equation:

(1/c - 1)

To isolate cc, we can follow these steps:

Step 1: Combine the fractions by finding a common denominator. The common denominator is cc, so we rewrite 1 as cc/cc:

(cc/cc)/c - 1

Simplifying further, we have:

cc/ccc - 1

Step 2: Combine the terms:

(cc - ccc)/ccc

Step 3: Factor out cc:

cc(1 - cc)/ccc

Now we have cc isolated on one side of the equation.

In summary, by rewriting the equation (1/c - 1) as cc(1 - cc)/ccc, we have successfully isolated cc.

Learn more about fractions here:

https://brainly.com/question/10354322

#SPJ11

If \(\int_{a}^{b} f(x) \cdot g(x){d} x=0\) then functions f(x) and g(x) are orthogonal on [a, b]. So, we can show that sin(n·x) and cos(m·x) are orthogonal on [-π, π] for all 1≤n≤5 and 1≤m≤5 , n≠m.

To prove that sin(n·x) and cos(m·x) are orthogonal on the interval [-π, π], follow these steps:

Therefore, sin(n·x) and cos(m·x) are orthogonal on [-π, π]

Learn more about orthogonal:

brainly.com/question/30772550

#SPJ11

The mean squared error (MSE) is a standard approach to evaluating the accuracy of a time series forecasting model. The formula for MSE is the mean of the squared differences between the predicted values and the actual values.

The mean squared error (MSE) is a standard approach to evaluating the accuracy of a time series forecasting model. The formula for MSE is the mean of the squared differences between the predicted values and the actual values. The steps for calculating MSE for the provided time series are as follows:

Step 1: Calculate the mean of the series. The mean of the series can be calculated by adding all the data points together and dividing by the total number of observations.

This gives us: (55+51+69+69+76+70+97+94) / 8 = 72

Step 2: Calculate the deviations from the mean. Subtracting the mean from each observation gives us the deviation from the mean. These are the errors that we want to measure. For example, the deviation for the first observation is:

55 - 72 = -17

Step 3: Square the deviations. We square the deviations to remove the negative signs and emphasize larger errors. Squaring the deviation for the first observation gives us:

(-17)^2 = 289

Step 4: Calculate the mean squared error (MSE). The MSE is the mean of the squared deviations. This can be calculated by summing the squared deviations and dividing by the total number of observations.

This gives us: (289+441+9+9+16+4+625+484) / 8 = 201.125

So, the mean squared error for this time series is 201.125. The MSE represents the average of the squared differences between the actual values and the predicted values. This tells us how close our forecast model is to the actual values of the time series. In this case, a low MSE indicates that the forecast model is more accurate, while a high MSE indicates that the forecast model is less accurate. Hence, the calculation of MSE helps to determine whether a forecast model is a good fit for the time series data, or if there is a need to improve the model.

The given time series shows the data of a particular product over the past four years. MSE is a statistical measure used to measure the average of the squared differences between actual and predicted values. The formula for MSE is the mean of the squared differences between the predicted values and the actual values. It is an important factor that helps us understand the accuracy of the forecast model. Here, we calculated the mean squared error for the provided time series. The calculated MSE value for the provided time series is 201.125.

To know more about mean squared error visit: https://brainly.com/question/30404070.

#SPJ11

Answer:

R.

Step-by-step explanation: Itś the closes.

If you count them one buy one to each letter.

Answer:

140.04

Step-by-step explanation:

It's 140.4, hope this helped ^^

edit: I did the wrong numbers sorry

Answer:

$20

Step-by-step explanation:

If you buy 4 pounds of chicken, you multiply 5.75 times 4. That gives you $23. You have a coupon for $3 off the final amount. $23-$3 = $20.

Answer:

20

Step-by-step explanation:

(5.75x4)-3

23-3

20

The probability that a student who has an A is a male is 60%.

To find the probability that a student who has an A is a male, we need to calculate the ratio of the number of male students with an A to the total number of students with an A.

Given that there are 19 students in total, and 6 of them are female, we can determine that there are 19 - 6 = 13 male students. Out of these male students, 7 do not have an A. Therefore, the number of male students with an A is 13 - 7 = 6.

Now, we know that there are 10 students in total who have an A. Therefore, the probability that a student with an A is a male can be calculated as the ratio of the number of male students with an A to the total number of students with an A:

Probability = Number of male students with an A / Total number of students with an A

Probability = 6 / 10

Probability = 0.6 or 60%

For more such questions on probability

https://brainly.com/question/30390037

#SPJ8

Answer:

Hope the picture will help you

Answer:

here is my answer. check it out

Answer:

A

Step-by-step explanation:

We can write the complete equation as -

(5n/7 - 11) + (n/7 + 14) = (5n/7 + n/7) + (-11 + 14) = (6n/7)n + (3)

An expression is a combination of terms both constants and variables. For example -

2x + 3y + z

4y + 2x + 9

Given is the expression as -

(5n/7 - 11) + (n/7 + 14) = (x + n/7) + (-11 + y) = zn + w

(5n/7 - 11) + (n/7 + 14) = (5n/7 + n/7) + (-11 + 14) = (6n/7)n + (3)

(5n/7 - 11) + (n/7 + 14) = (5n/7 + n/7) + (-11 + 14) = (6n/7)n + (3)

Therefore, we can write the complete equation as -

(5n/7 - 11) + (n/7 + 14) = (5n/7 + n/7) + (-11 + 14) = (6n/7)n + (3)

To solve more questions on expressions, visit the link below

https://brainly.com/question/15284271

#SPJ1

Answer:   8m^10n^10

Thats the answer i hope i was helpful!

The Maclaurin series for f(x) is:

f(x) = 1 - x¹⁶ + x³² - 2x⁴⁸ + ...

A function can be written as a series (or sum) of terms using its derivatives with the aid of the Maclaurin series formula. This formula aids in determining the function's approximation value.

To find the Maclaurin series for the function f(x) = (cos(x⁸))², we can use the formula:

f(x) = ∑(n=0 to ∞) [\(f^{(n)}(0)\)/n!] * \(x^n\)

where \(f^{(n)}(0)\) is the nth derivative of f(x) evaluated at x=0.

First, we need to find the derivatives of f(x):

f(x) = (cos(x⁸))²

f'(x) = -16x⁷ * sin(x⁸) * cos(x⁸)

f''(x) = -16cos(x⁸)*cos(x⁸) + 128x¹⁴sin(x⁸)sin(x⁸)

f'''(x) = 512x²¹cos(x⁸)sin(x⁸)sin(x⁸) - 128x⁷sin(x⁸)cos(x⁸)cos(x⁸)

and so on. We can see that the derivatives become increasingly complicated as we go higher in order. Instead of computing these derivatives directly, we can use the identity:

cos(2θ) = 2cos²(θ) - 1

to simplify the expression for f(x):

f(x) = (cos(x⁸))² = 1/2 * (1 + cos(2x⁸))

Now, we can find the Maclaurin series for each part of the expression separately:

Maclaurin series for 1/2:

1/2 + 0 + 0 + 0 + ...

Maclaurin series for cos(2x⁸):

cos(0) - 2x¹⁶sin(0)/1! + 2²x³²cos(0)/2! - 2³x⁴⁸sin(0)/3! + ...

= 1 - 2x¹⁶ + 2²x³² - 2³x⁴⁸ + ...

Multiplying these series together, we get:

f(x) = 1/2 + (1 - 2x¹⁶ + 2²x³² - 2³x⁴⁸ + ...) / 2

= 1/2 + 1/2 - x¹⁶ + 2¹x³² - 2²x⁴⁸ + ...

= 1 - x¹⁶ + 2⁰x³² - 2¹x⁴⁸ + ...

Therefore, the Maclaurin series for f(x) is:

f(x) = 1 - x¹⁶ + x³² - 2x⁴⁸ + ...

Learn more about Maclaurin series on:

https://brainly.com/question/28455274

#SPJ4

If the point A= (4,5), then the possible points on the x-axis which are 13 units from point A are (16,0) and (-8,0).

To find all possible points on the x-axis, follow these steps:

So, the possible points on the x-axis that are 13 units away from point A(4,5) are (16, 0) and (-8, 0).

Learn more about distance formula:

https://brainly.com/question/30395212

#SPJ11

The answer is (-1, 2).

Given that the parabola is y = x - x² and the point is (1, 0). In order to find the equation of the normal, we can follow the steps below:

The gradient of the tangent is equal to the derivative of the equation of the parabola: y = x - x² dy/dx = 1 - 2x

The gradient of the tangent at (1,0) is 1 - 2(1) = -1

The gradient of the normal is the negative reciprocal of the tangent gradient at the point of tangency.

The gradient of the normal at (1,0) is therefore 1.

The equation of the normal to the curve at the point (1,0) is therefore y = 1(x - 1) + 0, that is, y = x - 1.

Now we can find the coordinates of the point of intersection of the normal and the parabola by substituting y in the equation of the parabola:

y = x - x²  x - x² = x - 1 x² = 1 x = ±1The normal line to the parabola y = x - x² at the point (1,0) intersects the parabola a second time at the point (-1, 2).

Know more about parabola here:

https://brainly.com/question/11911877

#SPJ11

The equation for such line is 5x - y - 22 = 0, using properties of parallel line and slope of a line.

What are the properties of two parallel line ?

1. These lines never intersect each other.

2. These lines have same slope .

General Equation for a line :

y = mx +c

Where m is slope of a line and c in constant .

As in que , we are given one line ,

so we can find slope of that line , using differentiation

3dy/dx - 15 = 0

slope : (1dy/dx) = 5

From 2nd property :

Slope of another line = 5 and passing point is (5,3)

Put all these information in general equation for a line:

3 = 5*5 + c

c = -22

So, the equation for a line with slope (m):5, constant(c):(-22) is

y = 5x - 22  

or 5x - y - 22 = 0

Learn more about slope of a line using the link :

https://brainly.com/question/3493733

#SPJ1

Answer:

It's still gonna equal 28

Answer:

Step-by-step explanation:

To construct triangle we need pencil, compass and ruler. Therefore, the correct options are A, B and D.

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Constructing shapes like triangles, squares, circles, and other geometrical figures is the subject of the mathematics branch known as geometry. With the aid of geometrical tools like a ruler, protractor, or compass, these figures can be created. Let's read some more about how triangles are made.

Therefore, the correct options are A, B and D.

Learn more about the triangle here:

brainly.com/question/2773823.

#SPJ3

Answer:

3rd option: f(x)⇒ +∞ as x⇒-∞ and f(x)⇒ -∞ as x⇒ +∞

Step-by-step explanation:

This is a negative cubic graph, therefore:

Looking at the graph, as x goes towards negative infinity, the y values go toward positive infinity.

On the other hand, as x goes towards positive infinity, the y values go towards negative infinity.

Answer:

you got it its where you're blue dot is the last one.

Step-by-step explanation:

Answer:

yea its the last one

Step-by-step explanation:

its pretty straight forward what the answer is

Based on the information provided, the promotion method subway is using is sales promotion.

It is a marketing tool that involves letting know potential customers about a product that a company wants to sell.

Most common methods include:

This involves promoting or advertising products through sales, which means customers are offered special discounts or lower prices. This is the method used by the subway because the sub of the day is a sales.

Learn more about sales in: https://brainly.com/question/15375944

The recursive formula for this sequence is f(n) = f(n-3) + 6n - 18.

We can use the method of finite differences to find a possible recursive formula for this sequence.

First, let's compute the first few differences:

f(4) - f(1) = 6

f(7) - f(4) = 6

Since the second differences are zero, we can assume that the sequence is a quadratic sequence. Let's write it in the form f(n) = an^2 + bn + c. We can solve for the coefficients using the given values:

f(1) = a(1)^2 + b(1) + c = 6

f(4) = a(4)^2 + b(4) + c = 12

f(7) = a(7)^2 + b(7) + c = 18

Solving for a, b, and c, we get:

a = 1

b = 5

c = 0

Therefore, the recursive formula for this sequence is f(n) = f(n-3) + 6n - 18.

learn more about recursive formula: https://brainly.com/question/29224065

#SPJ1

The maximum number of grams of CaSO4 that can be produced is calculated by determining the limiting reactant and using stoichiometry to find the corresponding amount of product.

To determine the limiting reactant, we need to compare the moles of each reactant and their stoichiometric ratios in the balanced equation.

1. Calculate the moles of Ca3(PO4)2:

                             = 310.18 g/mol

2. Calculate the moles of H2SO4:

3. Compare the stoichiometric ratios:

  From the balanced equation, the stoichiometric ratio of Ca3(PO4)2 to H2SO4 is 1:3.

  The moles ratio of Ca3(PO4)2 to H2SO4 is 3.22 mol : 10.19 mol.

4. Limiting Reactant:

  Since the stoichiometric ratio is 1:3, we can see that Ca3(PO4)2 is the limiting reactant because it will be completely consumed before H2SO4.

5. Determine the maximum grams of CaSO4:

  The stoichiometric ratio of CaSO4 to Ca3(PO4)2 is 3:1.

  The moles of CaSO4 produced will be equal to the moles of Ca3(PO4)2 used.

  Moles of CaSO4 = 3.22 mol

  Mass of CaSO4 = moles x molar mass = 3.22 mol x (40.08 g/mol) = 129.34 g

Learn more about: Stoichiometry

brainly.com/question/28780091

#SPJ11

Answer:

the paralell slope is -4. The slope intercept equation is -4x-4

Step-by-step explanation:

hope this helps!

The standard deviation is the mean of the sum of the squared deviations between each observation and the mean. The measure of dispersion that is the easiest to compute is the interquartile range.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation implies that the values are dispersed over a wider range, a low standard deviation shows that the values tend to be close to the mean of the collection.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Learn more about standard deviation here

https://brainly.com/question/475676

#SPJ4

Answer:

1 cm : 25000 cm

Convert 25000cm to km = 1cm : 0.25 km

9cm = 9 x 0.25 km

9cm = 2.25 km

Step-by-step explanation:

Answer:

y = (3/2)x - 3

Step-by-step explanation:

given:

coordinates :

(-4, -9) ----- (-4 = x1, -9 = y1)

and

(-2, -6) -----(-2 = x2, -6 = y2)

slope (m) = rise / run = (y2-y1) / (x2-x1)

=> -6- (-9) / -2 - (-4)

=> -6+9 / -2 + 4

=> 3 / 2

=> y= mx + b

=> y = (3/2)x + b

To find (b) or the y-intercept:

=> y = (3/2)x + b

=> y - (3/2)x = b

case 1

=>when x = -2 and y = -6,

=> -6 - (3/2) × -2 = b

=> -6 + 6/2 = b

=> -6 + 3 = b

=> -3 = b

case 2

=> when x = -4 and y = -9,

=> -9 - (3/2) × -4 = b

=> -9 + 12/2 = b

=> -9 + 6 = b

=> -3 = b

so, as we can see, in both the cases of taking different pair of coordinates, we are getting the same value of (b) or the y-intercept.

now,

b = -3

m = (3/2)

therefore,

y = (3/2)x - 3

The number of verbs memorized after two hours (t = 120) is:y = 50 - 15(30/2)^(-1/30)(120)= 45.92. Therefore, the student will memorize about 45 verbs in two hours.

(a) A student studying a foreign language has 50 verbs to memorize. Suppose the rate at which the student can memorize these verbs is proportional to the number of verbs remaining to be memorized, 50 – y, where the student has memorized y verbs. Initially, no verbs have been memorized.

Suppose 20 verbs are memorized in the first 30 minutes.

For part a) we have to find how many verbs will the student memorize in two hours.

It can be seen that y (the number of verbs memorized) and t (the time elapsed) satisfy the differential equation:

dy/dt

= k(50 – y)where k is a constant of proportionality.

Since the time taken to memorize all the verbs is limited to two hours, we set t = 120 in minutes.

At t

= 30, y = 20 (verbs).

Then, 120 – 30

= 90 (minutes) and 50 – 20

= 30 (verbs).

We use separation of variables to solve the equation and integrate both sides:(1/(50 - y))dy

= k dt

Integrating both sides, we get;ln|50 - y|

= kt + C

Using the initial condition, t = 30 and y = 20, we get:

C = ln(50 - 20) - 30k

Solving for k, we get:

k = (1/30)ln(30/2)Using k, we integrate to find y as a function of t:

ln|50 - y|

= (1/30)ln(30/2)t + ln(15)50 - y

= e^(ln(15))e^((1/30)ln(30/2))t50 - y

= 15(30/2)^(-1/30)t

Therefore,

y = 50 - 15(30/2)^(-1/30)t

Hence, the number of verbs memorized after two hours (t = 120) is:y = 50 - 15(30/2)^(-1/30)(120)

= 45.92

Therefore, the student will memorize about 45 verbs in two hours.

(b) Now, we are supposed to determine after how many hours will the student have only one verb left to memorize.

For this part, we want y

= 1, so we solve the differential equation:

dy/dt

= k(50 – y)with y(0)

= 0 and y(t)

= 1

when t = T.

This gives: k

= (1/50)ln(50/49), so that dy/dt

= (1/50)ln(50/49)(50 – y)

Separating variables and integrating both sides, we get:

ln|50 – y|

= (1/50)ln(50/49)t + C

Using the initial condition

y(0) = 0, we get:

C = ln 50ln|50 – y|

= (1/50)ln(50/49)t + ln 50

Taking the exponential of both sides, we get:50 – y

= 50(49/50)^(t/50)y

= 50[1 – (49/50)^(t/50)]

When y = 1, we get:

1 = 50[1 – (49/50)^(t/50)](49/50)^(t/50)

= 49/50^(T/50)

Taking natural logarithms of both sides, we get:

t/50 = ln(49/50^(T/50))ln(49/50)T/50 '

= ln[ln(49/50)/ln(49/50^(T/50))]T

≈ 272.42

Thus, the student will have only one verb left to memorize after about 272.42 minutes, or 4 hours and 32.42 minutes (approximately).

To know more about Number  visit :

https://brainly.com/question/3589540

#SPJ11

Considering the rectangle graphed on the coordinate grid side r has points (4, 1) and (6, 3). The equation of a side that is perpendicular to side r is y = x + 3

Information gotten from the question include

side p has points (1, 4) and (3, 6)

side q has points (3, 6) and (6, 3)

side r has points (4, 1) and (6, 3)

side s has points (4, 1) and (1, 4)

A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

Definition of variables to suit the problem to be solved

y = output function

m = slope

x = input function

c = intercept

The slope, m of r

m = (3 - 1) / (6-4)

m = 2/2

m = 1

slope of perpendicular line

slope of line, m = -1/slope of perpendicular line, m'

m' = -1/m

using points (4, 1)

(y - y') = -1/m(x - x')

y' = 4  

m = 1

x' = 1

(y - 4) = -1(x - 1)

y = -x - 1 + 4

y = -x + 5

Learn more about slope of perpendicular line

brainly.com/question/27589351

#SPJ1