The fourth term of a sequence is 375. Each term after the first is five times the previous term. Write an explicit function that models the general term of the sequence f(n)

The expression that represents how much James keeps from his pencil and notebook sales at the school store is 0.2 (2p + 4n).

Let x be the total amount of money James earns from selling pencils and notebooks. We can represent the total amount of money James earns from selling pencils as 2p, since each pencil costs $2.

Similarly, we can represent the total amount of money James earns from selling notebooks as 4n, since each notebook costs $4.

Therefore, the total amount of money James earns from selling pencils and notebooks can be represented as the sum of the money he earns from selling pencils and the money he earns from selling notebooks, or 2p + 4n.

Since James gets to keep 20% of his sales, we can represent the amount of money he keeps as 0.2 (2p + 4n).

Thus, the expression to represent how much James keeps from his sales is 0.2 (2p + 4n).

Learn more about expression in math here: brainly.com/question/1859113

#SPJ4

The 95% confidence interval estimate for the population mean, given the values X = 320, σ = 70, and n = 228, is from 313.14 to 326.86.

To calculate the confidence interval, we use the formula:

CI = X ± (Z * σ/√n)

where X is the sample mean, Z is the Z-score corresponding to the desired confidence level (in this case, 95% corresponds to a Z-score of 1.96), σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

CI = 320 ± (1.96 * 70/√228)

Calculating this expression, we find that the lower bound of the confidence interval is 313.14 and the upper bound is 326.86.

This means that we can be 95% confident that the true population mean falls within this interval. In other words, if we were to take multiple samples and construct confidence intervals using the same method, approximately 95% of those intervals would capture the true population means.

To learn more about Population mean, visit:

https://brainly.com/question/13084203

#SPJ11

Answer:

Ax + By = C

3x - 4 = 12

Your answer would be: 3x - 4y = 12

Step-by-step explanation:

brainliest pls

Answer:

3x=16

Step-by-step explanation:

In the ratio of 2:6 , Lacey will get 6 cards and Martha will get 18 cards

Total number of cards = 24

Let Lacey gets "x" numbers of cards and Martha gets "y" numbers of cards

Ratio of cards given to Lacey to Martha = 2:6

x:y = 2:6

and we also know that total cards are 24

x + y = 24

x = 24 - y

putting value of x in the ratio,

\(\frac{24 - y}{y} = \frac{2}{6}\\\)

cross multiplication,

6(24 - y) = 2y

144 - 6y = 2y

8y = 144

y = 18

Substituting value of y ,

x = 24 - 18

x = 6

Hence , Lacey will get 6 cards and Martha will get 18 cards.

To know more about Ratios here

https://brainly.com/question/13419413

#SPJ1

Answer:

1. Abra Excel. Busque y abra la hoja de cálculo a partir de la cual desea hacer un gráfico de barras.

2. Seleccione todos los datos que desee incluir en el gráfico de barras.

3. Asegúrese de incluir los encabezados de columna y fila, que se convertirán en las etiquetas del gráfico de barras. Si desea etiquetas diferentes, escríbalas en las celdas de encabezado correspondientes.

4. Haga clic en la pestaña Insertar y luego en el botón Insertar columna o gráfico de barras en el grupo Gráficos. Verá muchas opciones cuando seleccione este botón, como columnas 2-D y columnas 3-D, así como barras 2-D y 3-D. Para estos propósitos, estamos seleccionando columnas 2-D.

5. Aparecerá el gráfico. También verá barras horizontales con los nombres de sus encabezados en la parte inferior de su gráfico.

6. A continuación, asigne un nombre a su gráfico. Haga clic en la sección Título del gráfico en la parte superior del gráfico y la sección se vuelve editable.

7. Decida dónde colocar el gráfico de barras. Se puede colocar en una hoja separada o se puede incrustar en la hoja de cálculo. Entonces guárdalo.

8. Si desea eliminar el gráfico y empezar de nuevo, coloque el cursor en el borde del gráfico (aparecerá una ventana emergente que dice "área del gráfico") y presione la tecla Suprimir.

The net value of the items purchased is ₹ 900.

Raman purchased books and stationery items and paid the total amount of rupees 963.

Paid tax = 7%

Let the net value of the items purchased be `x.

VAT = 7%

Selling price = ₹x + (7% of x)

                    = ₹x+ ₹ ( 7/100 * x)  

                    =₹( x +7 x /100)

                    = ₹ 107 x /100

But Raman purchased books and stationery items for ₹963.

107x/100 = ₹963

               x =  963 x 100/107

               x = 900

Hence the answer is the net value of the items purchased is ₹ 900.

To learn more about tax click here https://brainly.com/question/1775528

#SPJ9

Answer:

A) 3

B) 0

C) -1

Step-by-step explanation:

A) 15-5+-3+7-11

= 15-5-3+7-11

= 3

B)  -8+15-2-(-6)-11

= -8+15-2--6-11

= -8+15-2+6-11

= 0

C) 25+7-20+-16+3

= 25+7-20-16+3

= -1

I hope this helps you :)

-KeairaDickson

The final values are:

(a) 15 - 5 + (-3) + 7 - 11 is 2

(b) -8 + 15 - 2 - (-6) - 11 is 0

(c) 25 + 7 - 20 + (-16) + 3 is -1

Given,

(a) 15 - 5 + (-3) + 7 - 11

(b) –8 + 15 – 2 - (-6) -11

(c) 25 + 7 – 20 + (-16) + 3

We ned to find the final value of each question.

It stands for

P - parenthesis

E - exponents

M - multiplication

D - division

A - addition

S - subtraction

We solve the expression in the given order.

We also must know that:

Negative x Negative = Positive

Positive x Negative = Negative

Positive x Positive = Positve

We have,

15 - 5 + (-3) + 7 - 11

= 15 - 5 - 3 + 7 - 11

= 15 + 7 - 5 - 3 - 11

= 22 - 19

= 2

-8 + 15 - 2 - (-6) - 11

= -8 + 15 - 2 + 6 - 11

= 15 + 6 - 8 - 2 - 11

= 21 - 21

= 0

25 + 7 - 20 + (-16) + 3

= 25 + 7 - 20 - 16 + 3

= 25 + 7 + 3 - 20 - 16

= 35 - 36

= -1

Thus the final values are:

15 - 5 + (-3) + 7 - 11 = 2

-8 + 15 - 2 - (-6) - 11 = 0

25 + 7 - 20 + (-16) + 3 = -1

Learn more about how to use PEMDAS order here:

https://brainly.com/question/20876480

#SPJ2

The percent of change is calculated as follows:

Substituting with old price = 120, and new price = 200, we get:

Confounding variables are any other variable that also has an effect on your dependent variable.

What is a confounding variable?

A confounding variable, also called a confounder or confounding factor, is a third variable in a study examining a potential cause-and-effect relationship.

A confounding variable is related to both the supposed cause and the supposed effect of the study. It can be difficult to separate the true effect of the independent variable from the effect of the confounding variable.

In your research design, it's important to identify potential confounding variables and plan how you will reduce their impact.

For example, if you are researching whether drinking both sample lead to taste test, then drinking both sample  is your independent variable and taste test is your dependent variable. Confounding variables are any other variable that also has an effect on your dependent variable.

learn more about of confounding variable here

https://brainly.com/question/16930107

#SPJ4

Answer:

x=3 is one solution

3=3 has infinitely solutions

6=3 has one solutions.

Step-by-step explanation:

I got it correctt on Edg.

Answer: x = 3 one solution

3=3 infinitely many solutions

6=3 no solution

From the given information provided, the value for the marginal revenue when 24 units are sold is $160.

A derivative in mathematics is a measurement of the change in a function with changing input. It is a fundamental idea in calculus and is used to determine curve slopes, rates of change, and other crucial mathematical characteristics of functions.

Marginal revenue is the additional revenue generated by selling one additional unit of a product.

The marginal revenue is the derivative of the revenue function with respect to the quantity sold, evaluated at a specific quantity. In this case, we have:

R(q) = -5q² + 400q

Taking the derivative with respect to q, we get:

\(\frac{dR}{dq} = -10q + 400\)

To find the marginal revenue at 24 units, we evaluate this expression at q = 24:

\(\frac{dR}{dq} = (-10*(24)) + 400 = 160\)

Learn more about derivative

brainly.com/question/23819325

#SPJ4

Answer:

the answer is 47

Step-by-step explanation:

the bottom box is 15 because 3x5=15 the side is seven and u subtract 3 bc it was already used so u have 4x8=32. 32+15= 47

Answer:

x = -8

Step-by-step explanation:

☽------------❀-------------☾

Hi there!

~

Answer:

\(x = -8\)

Step-by-step explanation:

Step 1: Subtract 4x from both sides.

\(7x + 23 - 4x = 4x - 1 - 4x\)

\(3x + 23 = -1\)

Step 2: Subtract 23 from both sides.

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

\(3x = -24\)

Step 3: Divide both sides by 3.

\(\frac{3x}{3} = \frac{-24}{3}\)

\(x = -8\)

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

if you have a total of 679 peaches and you split them up into 4 different groups, you will have 169 whole peaches in each but you'll have .75 of a peach left over.

Step-by-step explanation:

Answer:

10 hours

Step-by-step explanation:

49kilograms/7hours = 7 kilograms per hour

70 kilograms ÷ 7 kilograms per hour = 10 hours

Answer:

-3/2

Step-by-step explanation:

The expected value of X+Y conditional on Y = 52 is approximately 2.816, rounded to at least four decimal places.

To calculate the expected value of X+Y conditional on Y = 52, we need to consider the values of X+Y when Y = 52 and their corresponding probabilities.

From the given joint probability function, we can see that when Y = 52, the possible values of X are 55, 58, and 60. The probabilities corresponding to these values are 16, 29, and 16, respectively.

Now let's calculate the expected value:

E(X+Y | Y = 52) = (55 * 16/125) + (58 * 29/125) + (60 * 16/125)

E(X+Y | Y = 52) = 0.704 + 1.344 + 0.768

E(X+Y | Y = 52) = 2.816

Therefore, the expected value of X+Y conditional on Y = 52 is 2.816, rounded to at least four decimal places.

To learn more about probabilities visit : https://brainly.com/question/25839839

#SPJ11

Answer:

33.6

Step-by-step explanation:

this is a circle

so

the area of a circle = pi x radius squared(since it's a 2-D shape)

but this is 3-D

so

V = 2664.31 = (4/3)(\(\pi\)\(r^{3}\))

you could also use

A = ³√(36 * π * V²) when A is the surface area

but those are too long, so let us just use the answer choices

V = 3.14 x answer choice x radius sqaured

V = 3.14 x 8.6 x radius sqaured

2664.31 = 3.14 x 8.6 x radius sqaured

radius sqaured =  2664.31/3.14 x 8.6

radius sqaured =  2664.31/27.004

radius sqaured can't be made with this

lets skip V

radius sqaured =  2664.31/3.14 x 17.2

radius sqaured = 2664.31/54.008

since 27.004 didn't work, and 54.008 is 2 times as that

radius sqaured = 2664.31/3,14 x 33.6

radius sqaured =  2664.31/105.504 ≈ 25

25 square rooted is 5

so

33.6

Answer: 13.99

Step-by-step explanation:

Using sine rule

((sin 90)/18)= ((sin (180-(90+39)))/x)

((sin 90)/18)=((sin 51)/x)

(1/18)=(0.7771/x)

Cross multiply

x= 0.7771*18

x= 13.99

The graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

The question is incomplete:

The complete question is:

Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?

Please refer to the attached picture.

The given line:

y = 4x - 2

The slope of the line m = 4

The slope of the line which is perpendicular to the above line:

M = -1/4 = -0.25

The graph second has a slope of -0.25

\(\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)\)

y - 2 = -0.25x - 1

y = -0.25x + 1

Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ1

The appropriate critical value for constructing a confidence interval in this setting is 1.88.

To find the appropriate critical value for constructing a confidence interval at a 94% confidence level, we can use a standard normal distribution table or a calculator.

First, we need to find the value of alpha, which is the significance level, which is equal to 1 - the confidence level. In this case, alpha is equal to 1 - 0.94 = 0.06.

Next, we need to find the critical value z* from the standard normal distribution table or calculator, which corresponds to the area to the right of z* being equal to alpha/2 = 0.03.

Using a standard normal distribution table or calculator, we can find that the critical value z* is approximately 1.88.

Learn more about critical value here

brainly.com/question/28233701

#SPJ4

a. If the data is weight, the z-score for someone who is overweight would be positive.

b. If the data is IQ test scores, an individual with a negative z-score would have a low IQ.

c. If the data is time spent watching TV, an individual with a z-score of zero would watch the average amount of TV.

d. If the data is annual salary in the U.S and the population is all legally employed people in the U.S., the z-scores of people who make minimum wage would be negative.

The z-score represents how far a data point is from the mean in terms of standard deviations. If someone is overweight, their weight would be above the mean weight, so their z-score would be positive.

Again, the z-score represents how far a data point is from the mean in terms of standard deviations. If someone has a negative z-score for IQ test scores, it means their score is below the mean score, so their IQ would be low.

A z-score of zero means the data point is exactly at the mean, so someone with a z-score of zero for time spent watching TV would watch the average amount of TV.

Again, the z-score represents how far a data point is from the mean in terms of standard deviations. If someone is making minimum wage, their salary would be below the mean salary, so their z-score would be negative.

Learn more about z-score here: https://brainly.com/question/28096232

#SPJ11

The solution to the initial value problem is:

y(t) = (-3/4) * e^(-4t+4) + (3/8) * e^(2t+8)

To solve a second-order linear homogeneous differential equation the equation is y′′ 2y′-8y = 0.

Given initial conditions: y(102) = 3 and y′(102) = -12.

To solve this differential equation, we can use the characteristic equation: r^2 + 2r - 8 = 0

Factoring this equation, we get: (r + 4)(r - 2) = 0

So the roots of the characteristic equation are r = -4 and r = 2.

The general solution to the differential equation is:

y(t) = c1 * e^-4t + c2 * e^2t

To find the values of c1 and c2, we can use the initial conditions.

We know that y(102) = 3, so we can substitute t = 2 into the general solution:

3 = c1 * e^-8 + c2 * e^4

We also know that y′(102) = -12, so we can take the derivative of the general solution and substitute t = 2:

y′(t) = -4c1 * e^-4t + 2c2 * e^2t

y′(102) = -4c1 * e^-8 + 2c2 * e^4 = -12

Solving for c1, we get:

c1 = (-3/4) * e^4 + (3/4) * e^-8

Solving for c2, we get:

c2 = (3/8) * e^8 - (3/8) * e^-4

Therefore, the solution to the initial value problem is:

y(t) = (-3/4) * e^(-4t+4) + (3/8) * e^(2t+8)

To know more about the initial value problem click here:

https://brainly.com/question/30547172

#SPJ11

Answer:

2/5

Step-by-step explanation:

first select the line that is positive which is the purple one

slope = change in y / change in x

two clear points are (0,2) and (5,4)

so you do y2-y1 / x2-x1

=(4-2)/(5-0)

=2/5

so the slope is 2/5

Answer: it is an acute triangle

Explanation:

Because an acute triangle has three equal less-than-90-degree-angle corners. Hope this helps!

Answer:

=14

Step-by-step explanation:

...................

The solutions to the quadratic equation \(2x^2 + 6x - 1 = 0\), obtained by completing the square, are x = -3 + √10 and x = -3 - √10.

To solve the quadratic equation\(2x^2 + 6x - 1 = 0\)by completing the square, follow these steps:

Ensure that the coefficient of \(x^2\) is 1. In this case, it is already 2, so we don't need to make any changes.

Move the constant term to the other side of the equation. Add 1 to both sides:

\(2x^2 + 6x = 1\)

Divide the coefficient of x by 2 and square it. In this case, (6/2)^2 = 9.

Add the result from step 3 to both sides of the equation:

\(2x^2 + 6x + 9 = 1 + 9\)

Simplifying, we get:

\(2x^2 + 6x + 9 = 10\)

Write the left side of the equation as a perfect square trinomial. In this case, it is \((x + 3)^2.\)

\((x + 3)^2 = 10\)

Take the square root of both sides:

\(√[(x + 3)^2] = ±√10\)

Simplifying:

\(x + 3 = ±√10\)

Solve for x by subtracting 3 from both sides:

x = -3 ± √10

So, the solutions to the quadratic equation \(2x^2 + 6x - 1\)= 0, obtained by completing the square, are x = -3 + √10 and x = -3 - √10.

Learn more about quadratic equation here:

https://brainly.com/question/30098550

#SPJ11

As per the provided figure, we can see that line QR is tangent to circle O at R, given SR = 36, so we have TR = 36 as well. And TR bisects line SQ, so we can say that TS = SR/2 = 18.So, QS = QT + TSQT = QS - TSQT = 36 - 18QT = 18We know that the tangents from an external point are equal in length.

Therefore, we can say that PQ = PRS o, ∠QPR = ∠RQP, since PQ = PR we can say that these two angles are equal in measure. ∠PQR is a right angle since QR is tangent to circle O. And therefore, ∠TQR + ∠QPR + ∠PQR = 180°∠TQR + ∠RQP + 90° = 180°∠TQR + ∠RQP = 90°∠TQR = 90° - ∠RQP Making use of Pythagorean Theorem we can find that QP = 30. Therefore, by using trigonometric ratios we can say that :sin ∠RQP = PQ/QR sin ∠RQP = 30/36 sin ∠RQP = 5/6 cos ∠RQP = QR/PR cos ∠RQP = 36/30 cos ∠RQP = 6/5tan ∠RQP = PQ/QR tan ∠RQP = 30/36 tan ∠RQP = 5/6Therefore,m∠RQP = m ∠QPR = 53.13° (rounded to the nearest tenth)m ∠TQR = 90° - m ∠RQP m ∠TQR = 90° - 53.13°m∠TQR = 36.87°Rounding it off to the nearest tenth, we get, m∠ TQR ≈ 36.9°Thus, the required measure of angle TQR is approximately equal to 36.9 degrees.

Learn more about tangent here:

https://brainly.com/question/31309285

#SPJ11