The cost in dollars to produce x shovels in a factory is given by the function C(x) = 26x +400. The number of shovels that can be produced in h hours is
given by the function N(h) = 20h.
7. Find the rule for C(N(h)).
8. Find the cost when h=6 hours.

Answers

Answer 1

The amount of shovels that can be produced in h hours is 960 shovels

What is an equation example?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

What is the full meaning of the equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

In the given equation,

The number of shovels produced are

C(x)=26*20+400

=520+400

=920 shovels

To learn more about equation, click the following link:-

https://brainly.com/question/2972832

#SPJ1


Related Questions

In the triangle below, suppose that m/C=(5x-7), m/D= (2x+3)°, and m/E=x°.
Find the degree measure of each angle in the triangle.

Answers

On solving the provided question, we can say that sum of all angles of a triangle is 180, angle 1 = 103, angle 2 = 47 and angle 3 = 22

What is triangle?

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here,

in the given triangle

sum of all angles of a triangle is 180.

5x - 7 +2x +3 +x = 180

8x = 176

x = 22

angle 1 = 103

angle 2 = 47

angle 3 = 22

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

A department store buys 300 shirts at a cost of $1,800 and sell them for $10 each. Find the percent markup rounded to the nearest percent.

Answers

The percent markup of the department store is given as follows:

67%.

How to obtain the percent markup?

The percent markup is obtained applying the proportions in the context of this problem.

A department store buys 300 shirts at a cost of $1,800, hence the cost per shirt is given as follows:

1800/300 = $6.

The shirts are sold by $10, hence the markup is given as follows:

10 - 6 = $4.

The percent markup is given by the division of the markup by the initial price and multiplied by 100%, hence:

4/6 x 100% = 67%.

(rounded to the nearest percent).

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

67%

Step-by-step explanation:

Is triangle ABC congruent to triangle XYZ?

Answers

Therefore , the solution of the given problem of triangle comes out to be ABC is congruent with XYZ.

Describe the triangle.

A triangle is a polygon since it has three parts and three vertices. It is a fundamental geometric figure. A triangle with the corners A, B, & C is referred to as triangle ABC. A single planar and triangle are found in geometric shapes when four elements are not collinear. Due of its three sides and top right corner, triangles are classified as polygons.

Here.

ABC is congruent with XYZ, hence

then,

∠A equals ∠X

∠B is equivalent to ∠Y.

∠C  equals ∠ Z

and,

xy is equivalent to line ab.

yz is identical to line bc.

xz is equivalent to line ac.

Cpct was used to resolve this.

congruent triangle's matching triangle segments

Therefore , the solution of the given problem of triangle comes out to be ABC is congruent with XYZ.

To know more about triangle visit:

brainly.com/question/2773823

#SPJ4

Triangle ABC ~ triangle DEF. Use the image to answer the question.

Determine the measurement of EF.

EF = 1.1
EF = 1.39
EF = 2.37
EF = 3.3

Answers

Answer:

EF = 2.37

Step-by-step explanation:

It's given that these are similar triangles.

In similar triangles, the side lengths are proportional.

We can write the following equation based on this information:

[tex] \frac{11}{3.3} = \frac{7.9}{ef} [/tex]

Cross multiply fractions

11EF = 27.03

Divide both sides by 11

EF = 2.37

what is 8x+y=-16 -3x+y=-15

Answers

Answer:

-1/11, -168/11

The dashes are for a fraction

Step-by-step explanation:

CHALLENGE ACTIVITY 2.3.2: Excel: Linear Regression

Answers

Three main implications for linear regression analysis are as follows:

(1) determining the strength of the predictor, (2) foreseeing an impact, and (3) trend forecasting.

Linear regression:

A fundamental and popular technique for predictive analysis is linear regression. Regression's overarching objective is to look at two things:

Accurately can a group of predictor variables forecast an outcome (dependent) variable.

Factors in particular, and how do they affect the outcome variable, are strongly predictive of both.

There are three main functions for regression analysis:

Assessing predictor power, foreseeing an outcome, and trend forecasting.

The regression equation's simplest version, y = c + b*x, has one dependent and one independent variable.

where,

y is the estimated score for the dependent variable, c is a constant, b is the regression coefficient, and x is the estimated score for the independent variable.

To know more about the linear regression, here

https://brainly.com/question/25987747

#SPJ4

X/2-4=8

Solve it
…….

Answers

Answer: x = 24

Step-by-step explanation:

Answer: x= 24

Step-by-step explanation:

so first you have to find the common dominator which would be 8 then you would have to combine fractions with the common dominator then you need to multiply all the numbers  

How do you use table name in formula?

Answers

Therefore , the solution of the given problem of table comes out to be

the steps for using table name in formula are listed below.

About table.

A statistic list is a group of figures that displays the results of a calculation with several inputs. Data is organized in rows and columns and is composed of descriptions and numbers. It is simple to remember the table and the pattern of 10. The numerals are 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50, in that order. Value mapping is a technique for displaying the relationships between various data elements. The values table can be useful in any science class.

Here,

These are the actions:

1) Enter the table name starting after the opening parenthesis. Excel will display any names that match as you write the initial letter.

2) Select the name of the table in the list using the arrow keys.

3) To add a name to your formula, double-click the chosen name or hit the Tab key.

4) After typing the final parentheses, hit Enter.

Therefore , the solution of the given problem of table comes out to be

the steps for using table name in formula are listed below.

To know more about table visit:

brainly.com/question/30127929

#SPJ4

Select the correct answer from each drop-down menu. two triangles abc and def are represented. segment ac and segment de has single tick mark. angle c and angle d has double tick marks on arc. if , then ∆abc and ∆efd are congruent by the asa criterion. if , then ∆abc and ∆efd are congruent by the sas criterion.

Answers

∆ABC and ∆EFD are congruent by the ASA criterion as segment AC and segment DE has single tick mark, angle A and angle E has single tick marks on arc and angle C and angle D has double tick marks on arc.

The ASA (Angle-Side-Angle) criterion states that if two triangles have two angles and the included side congruent (identical), then the two triangles are congruent.

In this case, both triangles ABC and DEF have two angles congruent (angle A and angle E, and angle C and angle D), and the included side (segment AC and segment DE) congruent. Therefore, by the ASA criterion, the two triangles ABC and DEF are congruent.

To be more precise Angle A and angle E has single tick marks on arc which means both angles are congruent and angle C and angle D has double tick marks on arc which means both angles are congruent. As we know, if two triangles have corresponding parts congruent, the two triangles are congruent.

If segment BC equals to segment FD we can prove that the triangles, ∆ABC and ∆EFD are congruent by the SAS criterion.

--The question is incomplete, answering to the question below--

"Two triangles ABC and DEF are represented. Segment AC and segment DE has single tick mark. Angle A and angle E has single tick marks on arc. Angle C and angle D has double tick marks on arc. If , then ∆ABC and ∆EFD are congruent by the ASA criterion. If , then ∆ABC and ∆EFD are congruent by the SAS criterion."

To know more on congruent triangles

https://brainly.com/question/22062407

#SPJ4

Graph the image of each polygon with the given vertices after a dilation centered at the origin with the given scale factor. What are the coordinates of F'?

K = 1/2

Answers

The coordinate of the point F' after dilation will be (1, -1). Then the correct option is D.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

The coordinate of point F is (2, -2). And the scale factor is 1/2. Then the coordinate of the point F' after dilation will be calculated as,

⇒ (1/2) × (2, -2)

⇒ (1/2 × 2, 1/2 × -2)

⇒ (1, -1)

The coordinate of the point F' after dilation will be (1, -1). Then the correct option is D.

The graph is given below.

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ1

Shop ell 240 necklace in a month. 180 old in hop the ret online. What' the ratio of hop ale and online ale in implet form

Answers

The ratio of shop sales to online sales is 180:60 or 3:1 in simplest form.

The total number of necklaces sold in the shop and online is 240 necklaces.

The number of necklaces sold in the shop is 180 necklaces.

The number of necklaces sold online is 60 necklaces (240 total - 180 shops).

To find the ratio of shop sales to online sales, we divide the number of necklaces sold in the shop by the number sold online.

So, the ratio of shop sales to online sales is 180:60 or 3:1 in simplest form.

This means for every 3 necklaces sold in the shop, 1 necklace is sold online.

Therefore, The ratio of shop sales to online sales is 180:60 or 3:1 in simplest form.

To learn more about ratios,

Visit; brainly.com/question/13419413

#SPJ4

How do you find the vertex of a quadratic function in intercept form?

Answers

The intercept form of a quadratic equation is y = a ( x − p ) ( x − q ) , where is the same value as in standard form, and and are the intercepts

What is quadratic function in intercept form?A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabola is a curve that represents the graph of a quadratic function. Parabolas can have openings that are upward or downward, different "widths" or "steepness's," but they all share the same fundamental "U" shape. Y = a (x p) (x q) is a quadratic equation's intercept form, where and are the intercepts, and and are the same value as in standard form.It is referred to as being in standard form when the quadratic function f(x) = a(x - h)2 + k is not equal to zero. The graph opens either upward or downward depending on whether an is positive or negative. The vertex is the point, while the vertical line x = h is the line of symmetry (h,k).

To learn more about quadratic function refer to:

https://brainly.com/question/25841119

#SPJ4

NEED HELP ASAP - Algebra 2 - 50 Points

Answers

Answer:

what do you need help on there is no question to answer

Step-by-step explanation:

The population of a town increased from 3750 in 2006 to 6150 in 2012. Find the absolute and relative (percent) increase.

Answers

Answer:

The absolute diffrence is 1050

The relative percentage is 32.3076%

Step-by-step explanation:

The work is too complicated to write but if u really do need an explanation let me know and I can do it. Sorry Im tired but I will do if u need it.

Please help me answer this math question

Answers

According to the information, we can infer that she is going to pay $108 as total for the photos; but every photo has a different price from $12 to $0.75

How to calculate the price of each photo?

To calculate the price of each photo we have to take into account how many photos fits in a sheet of pictures. Then we have to divide the total price of each sheet in the number of photos she is going to get from each sheet.

Picture for her parentsMeasures: 8 * 10Quantity: 1Price: 1 * $12 = $12

Pictures for her grandparentsMeasures: 5 * 7Quantity: 8Price of sheets: 4 * $12 = $48Price of each photo: $12 / 2 = $6

Pictures for her aunts and unclesMeasure 3 * 5Quantity: 5Price of sheets: 2 * $12 = $24Price of each photo: $12 / 3 = $4Pictures for her friendsMeasure: Wallet SizeQuantity: 32Price of sheets: 2 * $12 = $24Price of each photo: $12 / 16 = $0.75

Then she is going to use 9 sheets, so she is going to pay $108 in total.

Learn more about photos in: https://brainly.com/question/26478440

#SPJ1

The temperature is -3F at 7:00 a.m during the next 4 hours,the temperature increases to 21F.what is the temperature at 11:00 a.m?

Answers

Answer: 18 degree F

Step-by-step explanation:   we do -3 + 21 = 18

I put RT can someone explain what I did wrong

Answers

Step-by-step explanation:

please see attached for explaination

What are the 3 main viewpoints to look at a 3D object?

Answers

The three main viewpoints for looking at a 3D object are the top view, the side view, and the front view.

What is vector?

Vector is a physical properties.

The top view, also known as the plan view, is a view of the object from above. This view shows the overall shape of the object, as well as its orientation in space. The side view, also known as the elevation view, is a view of the object from the side. This view shows the details of the object's depth, thickness, and height. The front view, also known as the orthographic view, is a view of the object from the front. This view shows the details of the object's width, length, and height. By looking at the object from each of these three views, one can gain a better understanding of its full three-dimensional nature.

To know more about vector click-
https://brainly.com/question/15519257
#SPJ4

What is a table chart?

Answers

A table chart can be used to arrange data in rows and columns. Tables are frequently used in various types of study, communication, and data analysis.

what is sequence ?

A sequence is a group of numbers (sometimes known as "terms"), for instance, 2, 5, 8. Some sequences have a particular pattern that can be used to extend them indefinitely. Use the example of 2,5,8 and continue the series by adding 3. There are formulas that outline the locations of words inside a sequence. Informally, a sequence is a group of objects that are arranged in some way in mathematics. It is made up of parts, much like a set. The entire, potentially infinite number of arranged objects is referred to as the length of the sequence. putting two or more things in a logical order. Chronological.

given

A table chart can be used to arrange data in rows and columns.

Tables are frequently used in various types of study, communication, and data analysis.

Tables can be found in a variety of areas, including printed materials, handwritten notes, software, architectural details, and traffic signs.

To know more about sequence visit:

https://brainly.com/question/21961097

#SPJ4

Which points are reflections of each other across both axes?(–2, 8) and (2, –8)(–7, –1) and (–7, 1)(5, –6) and (–5, –6)(4, –3) and (–3, 4)

Answers

The points (–2, 8) and (2, –8) are reflections of each other across both axes. This can be seen by taking their coordinates and plugging them into the reflection formula, which is (x, y) → (–x, –y).

When we plug in the coordinates for the first point, we get (–2, 8) → (–(–2), –(8)) = (2, –8). This is the coordinates of the second point, so they are reflections of each other.

The points (–7, –1) and (–7, 1) are also reflections of each other across both axes. Using the same reflection formula, we get (–7, –1) → (–(–7), –(–1)) = (7, 1), which are the coordinates of the second point.

The points (5, –6) and (–5, –6) are reflections of each other across both axes. Applying the reflection formula, we get (5, –6) → (–(5), –(–6)) = (–5, 6), which are the coordinates of the second point.

Finally, the points (4, –3) and (–3, 4) are reflections of each other across both axes. Using the reflection formula, we get (4, –3) → (–(4), –(–3)) = (–4, 3), which are the coordinates of the second point.

Learn more about reflections here:

https://brainly.com/question/15487308

#SPJ4

A box that is 4 ft x 4 ft x 4 ft comes with 8 dodge-balls in it. How many dodge-balls can fit into a room that has a volume of 250 ft³
166 dodge-balls
58 dodge-balls
31 dodge-balls
39 dodge-balls

Answers

When the box that is 4 ft x 4 ft x 4 ft comes with 8 dodge-balls in it, 39 dodge balls can fit into a space that has a volume of 250 ft3.

what is volume ?

Its volume is the area that is enclosed by an object's boundaries in three dimensions. The quantity of three-dimensional space occupied by an object is measured by its volume, which is measured in cubic units. An example of a cubic unit is the cm3 or in3. However, a substance's mass can be used to measure how much matter it contains. It's usual practice to calculate an object's mass using its weight (in pounds or kilograms). Contrary to the fundamental equation for the area of a rectangular form, which is length, breadth, and height, the basic equation for volume is length, width, and height.

given

volume of cuboid = l *b*h

= 64ft3

When the box that is 4 ft x 4 ft x 4 ft comes with 8 dodge-balls in it, 39 dodge balls can fit into a space that has a volume of 250 ft3.

To know more about volume visit :-

https://brainly.com/question/13338592

#SPJ1

k/6+8=5
show work
solve k

Answers

Answer: K = -18

Step-by-step explanation:

Given equation: K/6+8=5

Let's subtract 8 from both sides of the equation

K/6 = -3

Multiply both sides by 6

K = -18

Where is 0 latitude and 0 longitude?

Answers

0 degree latitude and 0 degree longitude is at equator

Longitudes: The vertical lines running north-south, join the two poles. They are called the meridians of longitude. They are spaced farthest apart at the equator and converge at a point at each pole.

Horizontal lines called latitudes are used to measure distances north or south of the equator. Vertical lines known as longitudes are used to determine the west or east of the meridian in Greenwich, England. Latitude and longitude work together to help cartographers, geographers, and others find specific locations on the globe.

What is the uses of latitude?

Any location's distance from the equator may be determined using its latitude, which is based on its degree. We can locate any point on Earth using longitude and latitude. The GPS or Global Positioning System uses these coordinates.

The grid system that enables us to locate absolute or precise places on the surface of the Earth is made up of latitude and longitude. Latitude and longitude can be used to pinpoint certain locations. Landmark identification also benefits from knowledge of latitude and longitude.

To know more about longitude refer to:

brainly.com/question/13492273

#SPJ4

Which of the following statements is true? a. Bonds have more risk than stocks, but offer more return. b. Stocks have more risk than bonds, but offer more return. c. Stocks tend to offer a greater risk, while bonds tend to offer a greater return. d. Bonds tend to offer a greater risk, while bonds tend to offer a greater return. Please select the best answer from the choices provided Group of answer choices A B C D

Answers

option A is correct,  Bonds have more risk than stocks, but offer more return.

What is Investment?

Investment is the dedication of money to purchase of an asset to attain an increase in value over a period of time.

We need to find among the given statements which one is tue

Bonds have more risk than stocks, but offer more return.

Stocks have more risk than bonds, but offer more return.

Stocks tend to offer a greater risk, while bonds tend to offer a greater return.

Bonds tend to offer a greater risk, while bonds tend to offer a greater return

In general, investments that are riskier tend to provide higher returns over time than investments with less risk. So the stock and bond markets tend to reward risk- taking over the long term.

Hence, option A is correct,  Bonds have more risk than stocks, but offer more return.

To learn more on Investments click:

https://brainly.com/question/15353704

#SPJ1

find the anwser below in the image (give brainlist)

Answers

The missing length, By calculating is FG length is 24 .

What is Quadrilateral ?

Quadrilateral can be defined as the closed shape in which it contains four sides and sum of interior angles are always 360 degrees .

Given ,

Quadrilateral JKLM is similar to EFGH.

The two quadrilaterals are similar. So,

Given lengths in each Quadrilateral are

KJ = 9  KL =18  LM=12  MJ = 21

EF = 12  GH = 16  EH = 28

JK/KL = EF/FG

9 / 18 = 12 / FG

1/2 = 12 / FG

FG = 24

Hence, the missing length FG length is 24 .

To learn more about Quadrilateral from the given link.

https://brainly.com/question/23935806

#SPJ1

Gladys classifies the following system of equations. Y = 6x + 2 y = 6x + 1 select correct or not correct for each statement.

Answers

Answer:

No statements are included in the question.  Several observations are noted.

Step-by-step explanation:

y = 6x + 2

y = 6x + 1

y=mx+b is the equation for a straight line, where m is the slope and b the y-intercept.  

Observations

1.  These are both straight lines.

2.  The slopes are both the same:  +6.  The lines are parallel.

3.  Since they are parallel, they will never intersect (within the solar system)

4.  The second line is one unit lower than the first:  it's y-intercept is +1, comapared to +2 for the first.

5.  Since they do not intercept, there is no solution for this system of equations.

These will likely match some of the statements.

A fair 6 sided die is rolled twice. What is the probability that the first number that comes up is greater than or equal to the second number?.

Answers

Answer: each time you roll a 6-sided die is 1/6 percent to get any number  

Step-by-step explanation:

'I decided to add 8.6 to my number then multiply the result by 3, After that I subtracted 1.9 then doubled the result. The answer is 59.2'
What number was Savannah first thinking of?

Answers

Answer:

The number was 1.9

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

Let the number be x.

Set up equation to reflect all the operations:

((x + 8.6)*3 - 1.9)*2 = 59.2

Solve it in below steps:

((x + 8.6)*3 - 1.9)*2 = 59.2(x + 8.6)*3 - 1.9 = 59.2/2 (x + 8.6)*3 - 1.9 = 29.6(x + 8.6)*3 = 29.6 + 1.9 (x + 8.6)*3 = 31.5x + 8.6 = 31.5/3 x + 8.6 = 10.5x = 10.5 - 8.6 x = 1.9

The area of a trapezium is 90m². If the sum of the parallel sides is 30m. Find the perpendicular height of the trapezium

Answers

The perpendicular height of the trapezium is given as follows:

h = 6 m.

How to obtain the area of the trapezium?

The area of a trapezium with parallel sides a and b, and height h, is given by the equation presented as follows:

A = 0.5h(a + b).

The sum of the parallel sides is 30m, hence:

a + b = 30.

The area is of 90m², hence the height of the trapezium is obtained as follows:

15h = 90

h = 90/15

h = 6 m.

(as a + b = 30, hence 0.5(a + b) = 15).

More can be learned about the area of a trapezium at https://brainly.com/question/1463152

#SPJ1

We know

Area =1/2(Sum of parallel sides)×height

90=1/2(30)h15h=90h=6m

√15x² • √10x³ process

Answers

Factoring, using square roots, completing the square, and the quadratic formula are the four ways to solve a quadratic equation.

How many techniques exist to identify roots?

Divide the given number into its prime factors as the first step. Form similar factor pairs in which both factors are equal. This is step two. Take one factor from the pair in step three. Step 4: Calculate the product of the factors you got by taking one from each pair of factors.

How do you locate an equation's four roots?

A number's fourth root is the same as its square root's fourth root. The radical is multiplied by 4 to represent the fourth root, representing it as 4. For instance, 16's fourth root is is 2, i.e. 2 × 2 × 2 × 2 = 16.

To know more about roots visit:-

brainly.com/question/16880173

#SPJ1

The complete question is " Simply quadratic equation √15x² • √10x³ . "

Other Questions
Express the following fraction in simplest form, only using positive exponents.20z10(5z2)3(5z 2 ) 320z 10 Which of the following is the best example of dispersal influencing the process of allopatric speciation? A. a newly formed river separates a large population of ground snails. B. a small group of ducks flies on their regular path from Canada to California. C. a small group of finches flies from Japan to a previously uninhibited and isolated island. D. a drop in sea level exposes a new landmass that separates a large population of shrimp. Suppose that the current spot exchange rate is 1.50/E and the one-year forward exchange rate is 1.60/E. The one-year interest rate is 5.4 percent in euros and 5.2 percent in pounds. You can borrow at most 1,000,000 or the equivalent pound amount, that is, 666,667, at the current spot exchange rate. a. Show how you can realize a guaranteed profit from covered interest arbitrage. Assume that you are a euro-based investor. Also determine the size of the arbi- trage profit. b. Discuss how the interest rate parity may be restored as a result of the above transactions. c. Suppose you are a pound-based investor. Show the covered arbitrage process and determine the pound profit amount. tmd goal inc. produces and sells hockey equipment, often custom made for online orders. the company has the following performance metrics on its balanced scorecard: days from ordered to delivered, number of shipping errors, customer retention rate, and market share. a measure map illustrates that the days from ordered to delivered and the number of shipping errors are both expected to directly affect the customer retention rate, which affects market share. additional internal analysis finds that: Consider the system of equation 2x+4y=1, 2x+4y=1 what is true about the system of equations? if a wholesaler's salesforce helps a manufacturer reach many small customers at a low cost, what function does this wholesaler is serving? expression "the lost generation refers toO the high number of European young men killed in World War IO the victims of the Holocaust the citizens of Hiroshima and Nagasaki who died in the first uses of the atomic bombO the people whose adolescence was during the Great Depression and/or World War The US society has experienced multiple large-scale protests, riots, shootings and other incidents in the past year, reflecting the deep divisions and conflicts in the US society. Racial discrimination, political polarization, wealth gap, gun violence and other issues have not been effectively resolved, and the new president Biden also faces strong opposition and distrust from the Republicans and the public. an input to a simulation model that is selected by the decision maker is known as which of the following? A. nonnegativity constraint B. controllable input C. probabilistic input D. random variable what kind of compound will generate the most hydroxide ions in solution? select the correct answer below: strong acid strong base weak acid weak base Which of the following is NOT a factor thatcontributes to human population growth? The most common funds used by private colleges and universities include all of the following except Multiple Choice a. Endowment funds b. Loan funds. c. Sustainable funds d. Plant funds A database administrator creates a MySQL statement with incorrect syntax. What does MySQL Workbench display when the statement is executed?Group of answer choicesSyntax autocorrectInvalid resultNull valueError code How powerful is an engine that can do 400 J of work in 10 seconds?(Provide your answer in both "Watts" and "horsepower".) safety first executives based their decision to use direct mail because, of all media, direct mail Purpose:1. Implement a binary heap using array representation. 2. Understand the time complexity of heap operations through experiments.Task Description:In this project, you are going to build a max-heap using array representation. In particular, your program should: Implement two methods of building a max-heap. o Using sequential insertions (its time complexity: (o), by successively applying the regular add method). o Using the optimal method (its time complexity: (), the "smart" way we learned in class). For both methods, your implementations need to keep track of how many swaps (swapping parent and child) are required to build a heap. tests for specific transfer are most appropriate for which type of motor skill? 1.2 Mr John is to deposit R 5,000 in his bank account. Deposits are calculated as follows: Cash deposit : At ATM: R4,80 +1,20% of the above value. At the Branch R8,00 + 1,50% of the above value. John claims that the difference of depositing R5 000 at ATM and at the Branch is R18, 20 Verify the stament (5) [23 move the demand curve so that it is in the natural monopoly region of the longrun average cost curve (lrac). cost per unit of water quantity of water vYes, I consider Graphic Design art because it's a creative process that combines art and technology to communicate ideas.The developer works with a variety of communication tools to convey communication from a customer to a particular followership. Graphic design is an interdisciplinary branch of design and the fine trades.v