Functions and their Properties

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It would take 370 days to build the wall with the given conditions.

If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:

60 men x 40 days = 2400 man-days

However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.

The number of man-days required for the first 10 days is:

60 men x 10 days = 600 man-days

The number of man-days required for the second 10 days is:

5 men x 10 days = 50 man-days

The total number of man-days required for the first 20 days is:

600 man-days + 50 man-days = 650 man-days

The remaining work can be completed by the 5 men in:

2400 man-days - 650 man-days = 1750 man-days

Therefore, the total time needed to build the wall is:

20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days

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Answer:

6=6

Step-by-step explanation:

First, combine like terms on both sides.

3-2=1

1+5=6

8-2=6

6=6

Answer:

19 - 42x

Step-by-step explanation:

To differentiate this, we must use the product rule
f'(x) = (7x+3)'(4-3x) + (4-3x)'(7x+3)
= (7)(4-3x) + (-3)(7x+3)
= 28 - 21x - 21x - 9
= 19 - 42x

Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

Answer:Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3-- A

Step-by-step explanation:

Step 1

In solving 3b + 8 ≥ 14

we first  subtract both sides by 8, which will give

3b+ 8 -8 ≥ 14-8

3b  ≥ 6

Step 2

Then, divide both sides  by 3----Since  we are multiplying by a positive number, 3, the inequalities sign  will not change but will still remain the same.

3b/3  ≥ 6/3

To give answer as b ≥ 2.

Answer:

A

Step-by-step explanation:

Answer:

2x + 2

Step-by-step explanation: I used a app called Photo-math that allows you to get the answers by taking a photo

The probability that 89% or more in the sample will have earned a high school diploma is p ~ N = ( 0.87 , 0.001131 )

The normal distribution can be used to model the sample proportions.

The Central Limit Theorem and the importance of the normal distribution model in statistics (CLT). According to this theory, regardless of the type of distribution, the variables are sampled from, averages calculated from independent, identically distributed random variables have approximately normal distributions (provided it has finite variance).

Given,

N ( sample size ) = 100

probability of earning a high school diploma (p)  = 0.87

probability of not earning a high school diploma ( q ) = 0.13

hence ;

∈( P ) = p = 0.87

Var ( p ) = \(\frac{pq}{n}\)  = \(\frac{0.86*0.13}{100}\)  = 0.001131

therefore ; p ~ N = ( 0.87 , 0.001131 )

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Answer:

12

Step-by-step explanation:

2x4=8

5x4=20

2x4=8

each side is multipled by 4

The coordinates of point H' will be: H'(3, 9)

We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.

The original object's dimensions, orientation, or shape are unaffected by translation.

Translating a point P(x, y) 1 unit up means we need to add to use P'(x, y+1), that is adding 1 unit to the y-coordinate of the point P'(x, y).

Now we have to translate the triangle 1 unit up. So, use the formula

P(x, y) → P'(x, y + 1)

Thus, the coordinates of point H' will be:

H( 3, 8) → H'( 3, 8+1) → H'(3, 9)

Therefore, the coordinates of point H' will be: A'(3, 9).

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Therefore , the solution of the given problem of matrix comes out to be matrix A's (3,4)th place is -1.

A matrix is a group of numbers arranged in rows and columns to form a rectangular array. The numbers make up the matrix's constituents or parts. Matrix algebra is widely used in many branches of mathematics, as well as in the sciences of architecture, physics, economics, and statistics.

Here,

Given that matrix A has 4 rows and 5 columns,

=> it has a dimension of 4 x 6.

=> -1, 2, 3, 4, and 5 are the values in the fourth row of matrix A.

=> 2, 0, 6, and -3 are the values in matrix A's third column.

The entry in matrix A's (3,4)th place is -1.

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1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .

The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.

The length of my book in when measured in millimeters is 280 mm.

In centimeters, this is therefore:

= 280 mm / 10 cm /mm

= 28 cm

Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.

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We have the following kind of parallelograms:

And in the case where A and B are equal, we have a parallelogram that is a rectangle. But for any other combination of A and B, it will not be a rectangle.

From the solution developed above, we are able to conclude that the solution for the present question is:

A parallelogram is SOMETIMES a rectangle

Answer:

Angle at the center is two times the angle at circumferance

Answer:

corresponding

Step-by-step explanation:

<1 and <5 are corresponding angles because they are on the same side of the transversal and on the same side of l and m

The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.

To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:

x | y

-------

O | 1

X | 4

2 | 3

3 | 2

3 | 5

4 |

5 |

From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.

This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).

Therefore, the given table does not represent a function.

The correct answer is D. No, because one x-value corresponds to two different y-values.

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Answer and Step-by-step explanation:

Dog meets the train in = 4 minutes

Train catches up the dog in = 12 minutes

Let x be the time when train leave the route,

Train catch up the dog in 12 minutes, the endpoint of route is x and the dog meet up the train in 4min, so the equation becomes:

                       12 - x = 4

               To find out the value of x, subtract 12 from both sides, we get

                        x = 4 – 12

                         -x = -8

Which gives x = 8, when train leaves the endpoint of route.

These triangles are congruent under the SAS congruence criterion. The angles that face each other at the tip of these two triangles are vertically opposite angles, so their measures will be equal. It is already given that two sides of these two angles are equal. Since two sides and one included angle is equal, the SAS congruence criterion can be used to prove that this triangle is congruent.

These triangles are congruent under the SSS congruence criterion. This criterion states that if all three sides of two triangles are equal then they are congruent triangles. Since two sides and one included/common side of these triangles are equal they can said to be congruent under the SSS congruence criterion.

These triangles can be proved to be congruent using the SAS congruence criterion. Let us prove it using the following steps :

Given :

In triangle 1 :

In triangle 2 :

Since two sides and one included angles of both these triangles are equal, we can conclude that they are congruent under the SAS congruence criterion.

Answer:

lady strange is the best

Step-by-step explanation:

a)

We would simplify by applying the following laws of exponents

a^b * a^c = a^(b + c)

(a^b)^c = a^(bc)

BY applying these laws, we have

(5^6b^-12)(3^-2b^-10)

Recall,

a^-1 = 1/a

a^-2 = 1/a^2

Thus, we have

(15625b^-12)(1/3^2b^-10)

= 15625/9 * b^(- 12 - 10)

= 15625/9(b^-22)

Answer:

im pretty sure the answer is (-5,-7)?

Answer:

The number of men needed to perform a piece of work twice as great in tenth part of the time  working 8 hours a day supposing that three of the second set can do as much  work as four of the first set is:

Step-by-step explanation:

To find the answer, first, we're gonna find how many hours take to make the piece of work in 16 days, taking into account each day just has 10 hours:

Now, we divide the total hours among the number of persons:

This equivalence isn't the real work of each person, we only need this value to make the next calculations. Now, we have a piece of work twice as great as the first, then, we can calculate the hours the piece of work needs to perform it (twice!):

We need to make this work in tenth part of the time working 8 hours a day, it means:

Now, we know three of the second set can do as much  work as four of the first set, taking into account the calculated equivalence, we have:

So, three persons of the second set can make a equivalence of 8 hours. At last, we calculate all the number of workers we need in a regular time:

Remember we need to perform the job not in a regular time, we need to perform it in tenth part of the time, by this reason, we need 10 times the number of people:

With this calculations, you can find the number of men needed to perform a piece of work twice as great in tenth part of the time  working 8 hours a day supposing that three of the second set can do as much  work as four of the first set is 1200 persons.

The corrective action that offices that consistently charged excessive fees would be subject to by JTFH is a. The office will immediately be terminated from the Program.

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Answer:

I think the answer might be 12x⁷

Answer:

312

Step-by-step explanation:

Add the area of each face together

Don't forget the units!

Let's start by finding the right face (12 by 3). From your picture, we can tell its 12m long, and 3m tall. To find the aria of any face, we multiply the length, times the width.
12 x 3 = 36.
Now let's look at where it says 8m. Since that face is just as tall as the first one, we can tell its 3m tall.
8 x 3 = 24.

We can continue this for the top face.
Since the width of the second face we did is 8m, and the width of the first one is 12m, we can tell that the top one is 8 x 12. (96).

We can do this again for the other 3 sides.
A shortcut i like to take, is to do 3 of the sides, (Like the ones we did) and add them together, then double the sum.

36+24+96=156.

156x2=312.

This shortcut should work, because by adding the aria of half the sides together, we get exactly half the answer.

When doing this, it only works to do 3 different sides. it will not work if you do the same side twice, or a parallel side.

I encourage you to let me know if this method works for you! I hope this helps!

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

5.6444 × 10 \(x^{3}\)

Step-by-step explanation:

there is your answer i hope this helps you out bud

Answer:  

= 5.48 × 104

(scientific notation)

= 5.48e4

(scientific e notation)

= 54.8 × 103

(engineering notation)

(thousand; prefix kilo- (k))

Answer:

Arc length, S...is given  by

S  =  r (theta  in radians)

So

S  = 28  (3π/4)      =  28 (3/4)*π =  [ 21 π ]   inches    

Step-by-step explanation:

The length of the arc  intercepted by a central angle that measures 3π/4 radians will be 113.04 millimeters.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The central angle =  3π/4

And, A circle has a radius of  48 millimeters.

Now,

We know that in circle;

Arc = Radius × Angle

Substitute all the values, we get;

⇒ Arc = 48 ×  3π/4

⇒ Arc = 3 × 12 × 3.14

⇒ Arc = 113.04 millimeters

Thus, The length of the arc will be;

Arc = 113.04 millimeters

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Answer:

-14

Step-by-step explanation:

4x-2y                               x=-5       y=-3

4(-5) -2(-3)

-20+6

-14

If its correct i will appreciate brainliest

Answer:-14

Step-by-step explanation:

4x-2y                               x=-5       y=-3

4(-5) -2(-3)

-20+6

-14

The solution of the given equation  y ==2x² - 24r – 56​ :

(6 , -128)

Graph technology aids in the discovery of unknown links in data that cannot be detected or examined using traditional methods. When the broad term graph is introduced as both a topic, it frequently blurs three distinct topics: graph theory, graph analytics, and graph data management.

Graphs and charts are useful visual tools because they deliver information quickly and readily. It is hardly surprising, then, that graphs are widely utilized in print and electronic media. Data can be easier understood when displayed as a graph rather than a table since the graph can illustrate a pattern or comparison.

y =2x² - 24x – 56​

Solving for :

Parabola equation in polynomial form

ax² + bx + c  for x = -b/(2a)

a = 2

b = -24

c = -56.

on solving we get

= -(- 24)/2* 2

= 6

The value of x = 6

putting the value of x to get y:

2x² - 24x – 56​

2(6)² - 24(6) – 56​

-128

the value of y = -128.

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The graph of f is a vertical line that passes through the point (-6,4).

How to find the equation?

To find the equation of a line that is perpendicular to another line, we need to use the fact that the slopes of two perpendicular lines are negative reciprocals of each other.

First, let's find the slope of the given line that passes through the x-intercept of 3 and the y-intercept of -9. We can use the slope-intercept form of a line, which is:

y = mx + b

where m is the slope and b is the y-intercept.

Since the line passes through the point (3,-9), we know that:

-9 = 3m + b

Similarly, since the line passes through the y-intercept of (0,-9), we know that:

-9 = 0m + b

Subtracting these two equations, we get:

0 = 3m

So, m = 0. This means that the slope of the given line is 0, which implies that the line is a horizontal line.

Since the line we want to find is perpendicular to the given line, its slope is the negative reciprocal of 0, which is undefined (since the reciprocal of 0 is undefined). This means that the line we want to find is a vertical line.

We also know that the line passes through the point (-6,4). So, its equation is simply:

x = -6

Therefore, the graph of f is a vertical line that passes through the point (-6,4).

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Answer:

4x-6

Step-by-step explanation:

4x-6

4 is for number of doughnuts in each package, 6 is for the taken doughnuts