market for a new hardcover book: demand: qd= 325 – 8p supply: qs= –60 3p what would be the equilibrium quantity for hardcover books?
a. 11
b. 385
c. 35
d. 45
e. 100

Answers

Answer 1

To find the equilibrium quantity, we need to set the demand equal to the supply and solve for the quantity:

qd = qs

325 - 8p = -60 + 3p

8p + 3p = 325 + 60

11p = 385

p = 35

Now we can substitute this price back into either the demand or supply equation to find the equilibrium quantity:

qd = 325 - 8(35) = 45

Therefore, the equilibrium quantity for hardcover books is 45, which is option (d).

For more questions like demand visit the link below:

https://brainly.com/question/28501145

#SPJ11


Related Questions

john has 350 which is 50 more than sally has, how much does sally have?

Answers

Answer:

sally has 400.

Step-by-step explanation:

because if u add 350 and 50 it equals 400

Answer:

300

Step-by-step explanation:

john= 350

sally=350-50

=300

Isabel is pulling water up from an old-fashioned well. She lifts the bucket of water at a rate of 4 ft/s, and after 1 s, the bucket is 1 ft below the top of the well. What is the equation in point-slope form of the line that represents the height of the bucket relative to the top of the well? y [ Select ] [ Select ] = [ Select ] (x - [ Select ] )

Answers

Answer:

Point slope form is y+1=4(x-1)

Step-by-step explanation:

She lifts water at a rate of 4ft/s.

After 1 second, the bucket is 1 feet below the top of the well. So, point form of this would be (1,-1).

Here, let's use the slope m= rate = 4 ft/s

Point as (1,-1)

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

Simplify, it gives

y+1= 4(x-1)

Answer:

y + 1 = 4 (x - 1 )

Step-by-step explanation:

Answer 1:

+

Answer 2:

1

Answer 3:

4

Answer 4:

1

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 fect and a height of 13 fect. Container B has a diameter of 12 feet and a height of 18 feet. Container A is full of water and the water is pumped into Container B until Container A is empty. After the pumping is complete. what is the volume of the empty portion of Container B, to the nearest tenth of a cubic foot?

Answers

The volume of the empty portion of Container B is given as follows:

34.6 ft³.

How to obtain the volume of the cylinder?

The volume of a cylinder of radius r and height h is given by the equation presented as follows:

V = πr²h.

(the radius is half the diameter).

Hence the volume of Container A is given as follows:

V = π x 7² x 13

V = 2001.2 ft³.

The volume of container B is given as follows:

V = π x 6² x 18

V = 2035.8 ft³.

Then the volume of the empty portion of Container B is given as follows:

2035.8 - 2001.2 = 34.6 ft³.

More can be learned about the volume of a cylinder at brainly.com/question/9554871

#SPJ1

When Mr. Krumm purchased a tie he paid $\$9.27$, which included the $3\%$ sales tax. How many dollars did the tie cost before the tax was included

Answers

Mr. Krumm paid $9.27 for a tie that had a 3% sales tax added on. So, the tie cost $231.75 before the tax was included.

To find out how much the tie cost before the tax was included, we need to first calculate how much of the total price was due to the tax. We know that the total price Mr. Krumm paid was $9.27, and that this price included a $3% sales tax.

To calculate the amount of tax that was included in the price, we can start by setting up an equation:

0.03x = 9.27 - x

Here, x represents the cost of the tie before the tax was included. We know that the tax is 3% of this cost, which is why we're multiplying it by 0.03.. We're also subtracting x from 9.27 to get the amount of tax that was added on.

Simplifying this equation, we get:

0.04x = 9.27

Dividing both sides by 0.04, we get:

x = 231.75

So the tie cost $231.75 before the tax was included.

In summary, Mr. Krumm paid $9.27 for a tie that had a 3% sales tax added on. To find out how much the tie cost before the tax was included, we set up an equation and solved for the cost of the tie (x) before the tax was added. The answer is that the tie cost $231.75 before the tax was included.

Know more about the  sales tax

https://brainly.com/question/30109497

#SPJ11

recomend a good singer
Im into like chill beats

Answers

Answer:

two feet have got some really nice / chill beats and songs. I listen to mostly rock / metal so this is the best i got for you lol

Step-by-step explanation:

Point F is on line segment EG. Given FG = 3x - 5, EF = 2, and
EG = 5x – 8, determine the numerical length of FG.

Answers

Answer:

2.5

Step-by-step explanation:

EG = EF + FG;

5x-8 = 2 + 3x-5

2x = 5

x = 2.5

FG = 3x-5 = 2.5

If Ted reads 8 books in 4 months, how many books does Ted read in 1 month?

Answers

he reads 2 books in 1 month

La empresa Computec se dedica a la producción de calculadoras, donde el costo de producir cada una es de $120 y los costos fijos semanales son de $15000. Además, la empresa vende cada calculadora al precio de $20. ¿Cuántas calculadoras debe producir y vender la empresa para obtener una utilidad semanal de $16?

Answers

Answer:

Unidades a vender= 388

Step-by-step explanation:

Dada la siguiente información:

Costo variable unitario= $120

Costo fijo= $15,000

Precio de venta= $200

Utilidad deseada= $16,000 (supongo)

Para calcular el número de unidades a vender, tenemos que usar está formula:

Unidades a vender= (costo fijo +utilidad deseada) / contribucíon marginal

Unidades a vender= (15,000 + 16,000) / (200 - 120)

Unidades a vender= 388

A fishing guide charges a $150 fee per fishing trip plus $60 per person in a group. The guide charged a group $630 for a fishing trip.

How many people were in the group?

Answers

Answer:

8 people

Step-by-step explanation:

$630-$150= 480

480 divided by 60 dollars= 8 people

Answer:

8 people are n this group

Step-by-step explanation:

60 x 8 = 480 +150 = 630

For the last several weeks, Carol has been saving the coins from her waitressing tips so that she can buy her grandmother a music box for her birthday. If there are 70% more quarters than dimes in the money Carol has saved, and the combined value of her quarters and dimes is $31.50, how many dimes does she have

Answers

To check our answer, we can verify that the number of quarters is 1.7 times the number of dimes, which would be 102. And the total value of her dimes and quarters would be:  $31.50

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Let's start by using algebra to solve the problem.

Let x be the number of dimes that Carol has saved.

According to the problem, there are 70% more quarters than dimes. We can express the number of quarters in terms of x as 1.7x, since 1.7 times the number of dimes is equal to the number of quarters.

We also know that the combined value of her quarters and dimes is $31.50. We can express this as an equation:

0.10x + 0.25(1.7x) = 31.50

Simplifying and solving for x, we get:

0.10x + 0.425x = 31.50

0.525x = 31.50

x = 60

Therefore, Carol has 60 dimes.

Therefore, To check our answer, we can verify that the number of quarters is 1.7 times the number of dimes, which would be 102. And the total value of her dimes and quarters would be:

60 * $0.10 (dimes) + 102 * $0.25 (quarters) = $31.50

which matches the information given in the problem.

To learn more about Algebraic expression from given link.

brainly.com/question/953809

#SPJ1

What is the description of <2 as it relates to the situation shown?

What is the description of &lt;2 as it relates to the situation shown?

Answers

Consider the following example.

IN here, we have angles 1 and 2 measured with respect the horizontal line that passes through point A. Note that angle 2 is related to points A and C. In this case, angle is under the horizontal line that passes through A. Then, angle 2 is the angle of depression from point A to point C. Every angle that is under the horizontal line would receive the name of angle of depression. In the same manner, since angle 1 is above the horizontal line, then it is an elevation angle from point A to point C. In fact, every angle that is above the horizontal line, would receive the name of elevation angle.

Coming back to our problem, we can see that angle 2 is formed by the horizontal line that passes through the radar and the line that connects the plane to the radar. This angle would be above the horizontal line of the radar. Then, according to our previous explanation, this means that angle 2 is an elevation angle from the radar to the plane.

What is the description of &lt;2 as it relates to the situation shown?

Which of the following statements considered as always true?

A. All intersecting lines are perpendicular.
B. All parallel lines cut by a transversal line.
C. All perpendicular lines are intersecting line.
D. All transversal line is for parallel lines only

Answers

I don’t know duduejejeneisizkwkwneusisjwj

is x²-x divisible by 2?​

Answers

Answer:

Yes

Step-by-step explanation:

There are two cases: Case 1: x is even, so x can be modelled as a generic number 2n, where n is a positive integer. Clearly this product is divisible by two. ... Hence, it is safe to generalise that the term x²-x is divisible by 2 for any positive integer x.

Answer:

Step-by-step explanation:

No, because \((x^2-x)/2\) does equal \(x^2/2-x/2\). Honestly, it really depends on the value of x, as it provide whether or not the expression is divisible by 2.

six rats eat six identical pieces of cheese in six hours. assuming rats eat at the same rate, how long will three pieces of cheese last three rats?

Answers

It is assumed here that rats always eat at the same rate, 3 rats eat 3 identical pieces of cheese in 3 hours.

6 rats eat 6 identical pieces of cheese in 6 hours.

Assuming rats eat at the same rate,

3 pieces of cheese last three rats?

It is assumed here that rats always eat at the same rate, 3 rats eat 3 identical pieces of cheese in 3 hours.

Therefore, six rats eat six identical pieces of cheese in six hours and 3 rats eat 3 identical pieces of cheese in 3 hours.

Learn more about same rate here;

https://brainly.com/question/26827735

#SPJ4

Mark's soup recipe makes 10 servings and uses 4 carrots and 2 potatoes. Drag carrots and potatoes into the box to show how many Mark needs for 15 servings.

Answers

The number of carrots and potatoes that Mark will need for 3 servings will be 6 carrots and 3 potatoes.

How to illustrate the information?

It should be noted that an expression is simply used to show the relationship between the variables that are illustrated.

From the information, Mark's soup recipe makes 10 servings and uses 4 carrots and 2 potatoes. Therefore, to make 5 servings, he will need half of the carrots and potatoes. This will be 2 carrots and 1 potatoe.

Therefore, to make 15 servings, the total needed will be;

= (4 + 2 carrots) as (2 + 1 potatoes)

= 6 carrots and 3 potatoes

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

You find that the test statistic value is 0.41. Based on your critical region, what decision do you make regarding the null hypothesis (i.e. do you Reject H0 or Do Not Reject H0)

Answers

If the test statistic value falls within the critical region, we reject the null hypothesis (H0) at the given significance level (α).

If the test statistic value falls outside the critical region, we do not reject the null hypothesis.

To determine the decision regarding the null hypothesis based on a test statistic value and a critical region, we need to compare the test statistic value to the critical value(s) of the test.

Since the question does not provide information about the significance level or the directionality of the test, we cannot determine the critical region or make a decision about the null hypothesis based on the test statistic value alone.

More information is needed to interpret the result of the test.

At the specified significance level (), we reject the null hypothesis (H0) if the test statistic value is inside the crucial zone.

If the test statistic result is outside of the acceptable range, the null hypothesis is not rejected.

The test statistic value to the test's critical value(s) in order to decide whether to reject the null hypothesis based on a test statistic value and a crucial area.

We cannot establish the crucial area or choose the null hypothesis based only on the test statistic value since the question does not specify the significance level or directionality of the test.

To understand the test's outcome, more details are required.

For similar questions on null hypothesis

https://brainly.com/question/4436370

#SPJ11

someone please help me with this problem

someone please help me with this problem

Answers

Answer:

A and E

Step-by-step explanation:

If you add all the perimeters and the half circles, it would make 40 + 20π. And you can get this in two ways. A and E

Answer:

The correct answer is A and E.

Step-by-step explanation:

The perimeter of this shape is 10 + 10 + \(\frac{20\pi }{2}\) + 10 + 10 + \(\frac{20\pi }{2}\) = 10 + 10 + \(10\pi\) + 10 + 10 + \(10\pi\) = 40 + \(20\pi\).

A student answers 75% of the questions on a math exam correctly.If he answers 15 questions correctly,how many questions are on the exam

Answers

Answer:

20

Step-by-step explanation:

Given the function f(x)=-x^2+6x+17 determine the average rate of change of the function over the interval −3≤x≤7.

Answers

Answer:

2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\(\frac{f(b)-f(a)}{b-a}\)

Here [ a, b ] = [ - 3, 7 ] , then

f(b) = f(7 ) = - 7² + 6(7) + 17 = - 49 + 42 + 17 = 10

f(a) = f(- 3) = - (- 3)² + 6(- 3) + 17 = - 9 - 18 + 17 = - 10

average rate of change = \(\frac{10-(-10)}{7-(-3)}\) = \(\frac{10+10}{7+3}\) = \(\frac{20}{10}\) = 2

Solve For X

Setup the proportion.

Solve For X Setup the proportion.

Answers

After considering the given data we conclude that the value of CE = x = 6, under the condition that the given figure is AEC. The set up proportion is 6/4 = 1.5


In the given figure, we have two right-angled triangles ABC and CBE such that triangle ABC meets triangle CBE at a common side of BC. The base of triangle ABC is 8 and the base of triangle CDE is 4. We need to find the length of CE.
We can see that triangle ABC and triangle CBE are similar triangles because they share an angle (angle B) and have a common side (BC). Therefore, we can write:
AB/BC = CB/CE
We know that AB = AC - CB = √(AC² - BC²) = √(8² - BC²) and CB = CE - BE = √(CE² - 4²).

Substituting these values in the above equation, we get:
√(8² - BC²)/BC = CB/CE
√(8² - BC²)/BC = √t(CE² - 4²)/CE
Squaring both sides of the equation, we get:
(8² - BC²)/BC² = (CE² - 4²)/CE²
Multiplying both sides by BC² × CE², we get:
(8² - BC²) × CE² = (CE² - 4²) × BC²
64CE² - BC² × CE² = CE² × BC² - 16
80CE² = BC² × CE² + 16
Substituting BC = BE + EC = BE + CE/3 (because triangle CBE is a right-angled triangle), we get:
80CE² = (BE + CE/3)² × CE² + 16
80CE² = (BE×CE + CE³/3)² + 16×CE²
Substituting BE = AB - AE and AB = √(8² - BC²), we get:
80CE⁴ = ((√(8² - BC²) × CE) + (CE/3)³)² + 16×CE²
Substituting BC with √(8² - BC²), we get:
80CE⁴ = ((√(8² - (√(8² - BC²))²) × CE) + (CE/3)³)² + 16×CE²
80CE⁴ = (√64 - BC²) × CE) + (CE/27))² + 16×CE²
80CE⁴ = (64×CE⁴ - BC×BC×CE×CE + 32×√(64-BC×BC)×CE×CE/27 + CE×CE/729) + 16×CE×CE
0 = 64×CE×CE - BC×BC×27×CE×CE + 32×√(64-BC×BC)×27×CE×CE + CE×CE/5
0 = 3200×CE×CE - 27×(BC⁴)×5
Solving for CE, we get:
3200 × CE² = 27 × (8⁴)
3200 × CE² = 27 × (4096)
3200 ×CE² = 110,592
CE² = 110,592 / 3200
CE² = 34.56
CE = 6

To learn more about right-angled triangles

https://brainly.com/question/31203729

#SPJ1

Solve For X Setup the proportion.

a rectangular wall with a height of 7 1/2 ft has a perimeter of 46 ft. What is the area of the wall?

Answers

Answer:

116.25 ft²

Step-by-step explanation:

Height = 7.5ft

Perimeter : 2(7.5)ft + 2x ft = 46ft

Length = x ft

15+2x = 46ft

31 ft = 2x ft

x = 15.5 ft

7.5 x 15.5 = 116.25 ft²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Carlos and his brother each made 72 cookies for the church bake sale. They sold the same amount of cookies each day over a three day period. Between the two of them how many cookies did the boys sell each day? A. 24 B. 48 C. 72 D. 144

Answers

Answer:

the answer is 144

Step-by-step explanation:

just add 72+72=144

Please help me I really need help

Please help me I really need help

Answers

Answer:

No

Step-by-step explanation:

parallel is when 2 lines never touch and move in the same direction and these touch and move in different directions

Hopes this helps please mark brainliest

no because the word parallel in math means going on and on forever without crossing eachother. Hope this helps!

cuanto da 10 mas -30

Answers

Answer:

-20

Step-by-step explanation:

what type of variable is the number of gallons of gasoline pumped by a filling station during a day? qualitative continuous attribute discrete

Answers

The number of gallons of gasoline pumped by a filling station during a day represents a B: "quantitative " type of variable.

Quantitative variables are data about numeric values such as how much; how often; or how many.  In other words, quantitative variables are referred to as any variables that represent amounts, such as age, height, or weight.

In the given case, it is talked about the number of gallons of gasoline filled during a day; since it represents the quantity or number of gallons so it is a type of quantitative variable, representing the number of gallons of gasoline to be pumped.

You can learn more about manager at

https://brainly.com/question/14037311

#SPJ4

Find the Fare without Tip: 3 passengers, 9.5 miles.

O $19.54
O$16.70
O $18.29
O$17.48

Find the Fare without Tip: 3 passengers, 9.5 miles.O $19.54O$16.70O $18.29O$17.48

Answers

Answer:

$16.70

Step-by-step explanation:

9.5 miles / .25 = 38

The first mile is 1.25 so we do this

37 * .35 = 12.95

12.95 + 1.25 = 14.2

14.2 + 1.25 + 1.25(two additional passengers) = 16.70

A shipping container will be used to transport several 120-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 14900 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine x, the number of 120-kilogram crates that can be loaded into the shipping container.

HURRY PLEASEEEEEEEEEEEEEEEEEEE!

Answers

A maximum of 105 number of 120 kilograms can be loaded in the container.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

Weight of each crate = 120 kg

The greatest weight loaded in the container = 27500 kg

Weight already loaded in the container = 14900 kg

Now,

Since, Weight already loaded = 14900 kg

Let number of 120 kilograms loaded in the container = x.

Hence, Weight of x = 120 kg

So, After combined we get;

Weight nor be greater than the capacity of the container.

Hence, we can formulate;

14900 + 120x ≤ 27500

Subtract 14900 we get;

120x ≤ 27500 - 14900

120x ≤ 12600

x ≤ 12600 ÷ 120

x ≤ 105

Thus, A maximum of 105 number of 120 kilograms can be loaded in the container.

Learn more about the inequality visit:

https://brainly.com/question/24966055

#SPJ1

Plz help ASAP assignment due today !!!

Write the Properties of at least 5 different types of polygons of your choice and the properties of a circle.

Answers

Square - a rectangle (4 sided shape) whose sides are equal length

Rectangle - a polygon that has 4 sides and 4 right angles - two pairs of parallel lines

Triangle: a polygon with 3 sides and 3 angles. The angles add up to a total of 180 degrees. There are 3 kinds of triangles

Parallelogram - a polygon with 4 sides, 2 pair of parallel lines, 2 obtuse angles and 2 acute angles.  

Trapezoid - a polygon with 4 sides and only 1 pair of parallel lines

Circle: a shape with no sides, angles, or parallel lines. Any point in the circumference to the center of the circle is the same length.

Happy to help!

Answer:

1). Triangle - Has 3 equal sides and angles of 60°.

2). Square - A quadrilateral with 4 equal sides and angles (all the angles are right angles).

3). Rectangle - A quadrilateral with 2 equal parallel sides horizontal and vertical. All the angles are equal because they are right angles.

4). Pentagon - It has 5 equal sides with equal angles of 108°.

5). Hexagon - It has 6 equal sides with equal angles of 120°.

PROPERTIES OF A CIRCLE:

It has no sides with no angles. The radius in any direction from the point are of the same length.

a histogram with the hills to the far left means the image is overexposed.

Answers

The statement "A histogram with the hills to the far left means the image is overexposed" is not accurate. In fact, a histogram with the hills to the far left indicates that the image is underexposed, not overexposed.

A histogram is a graphical representation of the distribution of pixel values in an image. It displays the frequency of occurrence of different tonal values. The horizontal axis represents the tonal values, while the vertical axis represents the frequency or number of pixels.

When the hills of the histogram are concentrated towards the left side, it means that a significant portion of the image has darker or lower tonal values. This indicates an underexposed image, where the exposure settings were insufficient to capture enough light, resulting in a darker overall appearance.

Conversely, an overexposed image would have the hills of the histogram concentrated towards the right side, indicating that a significant portion of the image has brighter or higher tonal values.

Therefore, the correct interpretation is that a histogram with the hills to the far left means the image is underexposed, not overexposed.

learn more about histogram here

https://brainly.com/question/16819077

#SPJ11

John spent 80% of his money and saved the rest. Peter spent 75% of his money and saved the rest. If they saved the same amount of money, what is the ratio of John’s money to Peter’s money? Express your answer in its simplest form.

Answers

The ratio of John's money to Peter's money is 5/4. This means if John has a total amount of 5 then Peter will have a total of 4 as his amount.

Let's assume John has 'x' amount of  money, Peter has 'y' amount of money, The money John saved is 'p' and the money Peter saved is 'q'

So,

p = x - 80x/100                (equation 1)

q = y - 75y/100                (equation 2)

According to the given question, the amount John saved is equal to the amount Peter saved. Hence, we can equate equations 1 and 2.

p = q

x- 80x/100 = y - 75y/100

x - 0.8x = y - 0.75y

0.2x = 0.25y

x =  0.25y/0.2

x/y = 0.25/0.2

x/y = 25/20

x/y = 5/4

Hence, the ratio of John's money to Peter's money is 5/4.

To learn more about Ratio:

https://brainly.com/question/13419413

Other Questions
Why do luxury fashion brands archive their clothes after that stock is sold? IF NR = 8 ft, what is the length of arc NMP. Round to the nearest tenth. C Vocabulario/Gramtica:Signos de puntuacin(pp. 2, 6, 10-11)Usa la puntuacin correcta en el dilogo. Usa los signos de interrogacin, exclamacin,los puntos (periods) y las letras maysculas y minsculas.A: yo me llamo elisa cmo te llamas t8: me llamo esteban mucho gusto!A: geres de la argentinaB: s soy de buenos aires, la capital y tA: yo soy de aqu soy estadounidenseB: eres de Estados Unidos! You conducted a successful job search, and now have three offers from which to choose. What can you do to most thoroughly investigate your potential employers? a. check out their websitesb. watch the news to see if the companies are mentionedc. research their financial situationsd. speak with people who work for them I NEED THIS ASAPWhich indicates what happens to the kinetic energy when the mass of a moving object increases?A. The kinetic energy does not changeB. The kinetic energy increases by the same factor as the mass increaseC. The kinetic energy increases by the square of the same factor as the mass increaseD. The kinetic energy decreases by the same factor as the mass increase what is the work done by n mol van der waals gas in isothermal reversible expansion from vi to vf at t? What happens during a chemical reaction? Where do the reactants go, and where do the products come from? 4. Discrete Fourier Transform (DFT). a) Determine, by indicating the calculations, the DFT of x(n) = 8(n)-8(n-3), with N-4. (21.) the b) Determine, indicating the P(k)=28(k)+8(k-1), with N=4. calculations, calculations, the IDFT of the signal (2 v.) In a competitive labor market, an increase in the minimum wage results in a(n) __________ in the quantity of labor supplied and a(n) __________ in the quantity of labor demanded. earthquake magnitude is an objective measurement of the blank______, whereas intensity is a subjective measurement of blank______. a 0.500 m sample of phosgene gas, cocl2, decomposes to give carbon monoxide and chlorine gases. if theequilibrium concentration of cl2 is 0.045 m, what is the equilibrium constant for the reaction? heyy could you help me out with this problem??? Hello, can anyone help me with this question? there are 28 children in class ; 4/7of them are girls how many girls are there in the class Which of the following media has probably been used the most to make drawings?pen and inkgraphite pencilpastelcharcoalcrayon One of the jobs of lipids is to act as chemical messengers. This job is particularly important for the function of theA. heart.B. brain.C. lungs.D. stomach. Problem 1 Implement a method named initialize(). The method takes a two-dimensional square array of integers named arr, as a parameter. It initializes all of the elements of the array to the sum of their indices except for the major diagonal (upper left to lower right), where each element is initialized to -1. (For testing, use a 4X4 array and have the application print out the array in 2-dimension format.)Problem 3 Implement a recursive method printDigits() that takes an integer num as a parameter and prints its digits, one digit per line.For example, the output for the method call printDigits(23145) would display23145Problem 4 Implement a recursive method sumArray() that returns the sum of the first few numbers in the array. The method takes two parameters:a non-empty integer array, numArraynumbersToAdd, a positive integer representing the number of entries in array to add.You may assume valid parameters. For example,int[] a ={1,3,2,5};System.out.println(sumArray(a,3)); //will display 6System.out.println(sumArray(a,4)); //will display 11Problem 5 Test all methods above in a program, TestArraysAndRecursion, by using examples and/or instructions given in each problem. biblical theology is the study of god from the use of reason and revelation of god from his world. (T/F) you plan to develop a survey and would like to compute a single score to represent the construct you are measuring. which type of items should you use? group of answer choices open-ended forced alternative multiple choice likert scales Patrick is being recorded using an eeg. the readings show a large proportion of synchronous activity, which would indicate that patrick is