numbers less than 20 which have exacly 3 factors pls!

Answer:

independent

Step-by-step explanation:

The area of the figure is 528units²

The space enclosed by the boundary of a plane figure is called its area. The area is measured in square units.

The figure contains several rectangles by dividing it into different shapes.

The first part is a rectangle;

area = l×w

= 16×8 = 128 units²

for the second part ;

area = l× w

= 8× 24

= 192 units²

for the third part

The area of the whole rectangle

= l×w

= 8× 24

= 192 units²

area of the cut out section

= 12 × 4 = 48 units²

Therefore area of the figure = 128+192+192-48

= 528 units²

learn more about area of figures from

https://brainly.com/question/11423300

#SPJ1

The point of partition of the line segment AB in the ratio 2:3 with endpoints at A(9,5) and B (4,-5) is (7,1) .

What is Partition ?

The Simple words Partition means to separate or to divide . and

we know that , the point of partition of the line segment AB in the ratio a:b , can be calculated using the formula :

\(P=\frac{bA+aB}{a+b}\) ;

Substituting the values of end points A(9,5) and B (4,-5) and the ratio \(a=2\) , \(b=3\) ,

we get ;

P = \(\frac{3(9,5) +2(4,-5)}{2+3}\) = \(\frac{(27,15) + (8,-10)}{5}\) = \(\frac{(35,5)}{5}\) ;

Simplifying further ,

we get ;

P = (7,1) .

Therefore , the point of partition P is (7,1) .

The given question is incomplete , the complete question is

How do I find the point that partitions the segment AB into a 2:3 ratio with endpoints at A(9,5) and B (4,-5) ?

Learn more about Partition here

https://brainly.com/question/16410883

#SPJ4

Answer:

9 hours and 30 mins

Step-by-step explanation:

Betsy works for about 9 hours 30 minutes daily.

What are mathematics operations?

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Calculating time of Betsy total work for getting paid :

Betsy Working from 6:00 AM to 12:00 PM =  6 hour

Betsy takes an unpaid lunch break from 12:00 PM to 1:00pm = 1 hour

Betsy Working from  1:00 PM to 3:30 PM =  2.5 hour

Now adding-up all the time = 6 + 1 +  2.5 hour = 9.5 hours or 9 hours 30 minutes.

Therefore,  Betsy works for about 9 hours 30 minutes daily.

Read more about mathematics operations at:

https://brainly.com/question/1512595

#SPJ2

Answer:

32x^(7)V^(36)-4x^(9)V^(6)

Step-by-step explanation:

To convert decimal number 123 to quinary, follow these steps:

1. Divide 123 by 5 keeping notice of the quotient and the remainder.

2.Continue dividing the quotient by 5 until you get a quotient of zero.

3. Then just write out the remainders in the reverse order to get quinary equivalent of decimal number 123.

Answer:

$115/hr    The 10 hr mechanic

$50/hr    The 5hr mechanic

Step-by-step explanation:

let the 10 hr mechanic charge x

then the 5 hr mechanic charges 165 - x

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

10x + 5(165 - x) = 1400

10x + 825 - 5x = 1400

5x = 575

x = 115    The 10 hr mechanic

165 - x = 50    The 5hr mechanic

Note Receivable account is decreased by Br. 900.00c. Interest income account is increased by Br. 12.002. Entry for deposit in transit:a. Cash in Bank account is increased by Br. 1,852.213. Entry for outstanding checks:a. Increase Accounts Payable account by Br. 3,265.274. Entry for Bank service charges:a. Bank Charges account is increased by Br. 8.20

The bank reconciliation statement of XYZ Company for the month of April is shown below:Balance per Bank Statement at April 30, 2021Br. 10,443.11Add:Deposit in TransitBr. 1,852.21Note collected by bankBr. 912.00Total AdditionsBr. 2,764.21Deduct:Outstanding ChecksBr. 3,265.27Bank ErrorBr. 18.00Total DeductionsBr. 3,283.27Adjusted Bank BalanceBr. 9,924.05Balance per booksBr. 9,941.45Add:Error in recording the checkBr. 90.00Total AdditionsBr. 90.00Deduct:Outstanding ChecksBr. 3,265.27Total DeductionsBr. 3,265.27Adjusted Book BalanceBr. 6,766.18Journal Entries:1. Entry for the Bank collection of note:a. Cash in Bank account is increased by Br. 912.00b.. T the above entries should be recorded by XYZ Company.

for more search question income

https://brainly.com/question/28352034

#SPJ8

Mixture is kept undisturbed for some time. After some time, sand being heavier and insoluble in water, settles down at the bottom of container.

Sand and water are separated in this situation using filtering. The filter funnel, which is lined with filter paper, is filled with the sand and water mixture.

The paper allows the water to escape and accumulate in the beaker. Sand particles build up in the filter funnel because they can't pass through the filter paper. One of humankind's first methods of water treatment, distillation desalination is still a widely used treatment method today.

Many ancient civilizations employed this method to turn seawater into drinkable water aboard their ships. The differing densities of salt and sand are the basis for another physical separation technique. Sand has a density of 2.65 g/cm3, but salt has a density of 2.16 g/cm3. 

To learn more about Sand and water refer to:

https://brainly.com/question/29407326

#SPJ1

The volume of the rectangular box can be represented as 4w²h.

To find the volume of a rectangular box, you need to multiply the width, height, and length. Given that the base length (l) is four times the width (w), we can represent the length as l = 4w. Let's use the given variables w, h, and l to denote the width, height, and length, respectively.

Write the formula for the volume of a rectangular box.
Volume = width × height × length
Replace the length (l) with the expression in terms of width (w).
Volume = w × h × (4w)
Simplify the expression.
Volume = 4w²h
The volume of the rectangular box can be represented as 4w²h, where w is the width, h is the height, and l is the length, which is four times the width.

Know more about volume here,

https://brainly.com/question/28058531

#SPJ11

To find the variance, the mean of the lengths of the rivers has to be calculated first. The variance formula is then used to calculate the variance. The variance is 1057.58. Thus, the correct option is C.

The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the  T as man Sea are given below: River Length (km)Hollyford76Cascade64Arawhata68Haast64Karangarua37Cook32Waiho32

Whataroa51Wanganui56Waitaha40Hokitika64Waimea48Motueka108Takaka72Aorere72Heaphy35

Karamea80Mokihinui56Buller177Grey121Taramakau80Arahura56The mean length of the rivers is given by `bar(x)=(76+64+68+64+37+32+32+51+56+40+64+48+108+72+72+35+80+56+177+121+80+56)/21=69.19`.The variance is calculated using the following formula: `s^2=sum_(i=1)^n (x_i-bar(x))^2/(n-1)`.

Therefore, `s^2=(76-69.19)^2+(64-69.19)^2+(68-69.19)^2+(64-69.19)^2+(37-69.19)^2+(32-69.19)^2+(32-69.19)^2+(51-69.19)^2+(56-69.19)^2+(40-69.19)^2+(64-69.19)^2+(48-69.19)^2+(108-69.19)^2+(72-69.19)^2+(72-69.19)^2+(35-69.19)^2+(80-69.19)^2+(56-69.19)^2+(177-69.19)^2+(121-69.19)^2+(80-69.19)^2+(56-69.19)^2)/(21-1)=1057.58`.

Therefore, the variance is 1057.58.

Thus, the correct option is C.

To know more about Variance  visit :

https://brainly.com/question/28521601

#SPJ11

Answer:

4 feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

4

Answer:

B is a convex polygon cause it points out

Answer: C. 2 6/7

Hope that helped! :)

The relation accepts reflexive, symmetry, and transitive.

Recall that a relation R is reflexive if the element (x, x) belongs to R for all elements X in the domain of R.

If (x, y) belongs to R, then follows that (y, x) must likewise belong to R, making the situation symmetric.

And it is transitive if (x, y) and (y, z) belongs to R necessarily implies that (x, z) belongs to R.

Given r is a relation on the set of all nonnegative integers R(a,b)

Reflexive - YES. A given number a will always have the same remainder when divided by 5.

Symmetric - YES. If a and b have the same remainder when divided by 5, then b and a are the same pair, so again they will have the same remainder.

Transitive - YES. If a and b as well as b and c have the same remainder when divided by 5, this is possible if both a and c also have the same remainder when divided by 5.

Therefore the relation accepts reflexive, symmetry, and transitive.

To learn more about reflexive & symmetry visit

https://brainly.com/question/3014815

#SPJ4

The matrix B that organizes the data is given as follows:

B = [13, 36, 27,

      10, 15, 0,

       23, 51, 27].

The matrix that shows the total value of each cap size in each location is given as follows:

C = [247, 684, 513,

      190, 285, 0,

      437, 969, 513].

The matrix B is defined considering that it will have three rows and three columns, as follows:

Then the matrix B is defined as follows:

B = [13, 36, 27,

      10, 15, 0,

       23, 51, 27].

The cost of each baseball cap is of $19, thus the cost matrix is obtained multiplying the matrix B by the constant of 19.

When a matrix is multiplied by a constant, all the elements of the matrix are multiplied by the constant, hence the cost matrix is given as follows:

C = [247, 684, 513,

      190, 285, 0,

      437, 969, 513].

More can be learned about matrices at https://brainly.com/question/2456804

#SPJ1

Answer:

y = 130

Step-by-step explanation:

(4x+8) + (3x-19) + (x+7) = 180

4x + 8 + 3x - 19 + x + 7 = 180

(4x + 3x + x) + (8 -19 + 7) = 180

8x - 4 = 180

8x -4 +4 = 180 +4

8x = 184

8x/8 = 184/8

x = 23

3(23) - 19 = 50

50 + y = 180

180 - 50 = y

y = 130

Answers:
(a) There is one z-intercept at (0, 0, 0).
(b) y = ±21z.

a. The intercepts with the coordinates
The x-intercepts:
To get the x-intercepts, let y = 0 and z = 0.
Hence,
0 - x^2/441 = 0x^2 = 0x = 0
Therefore, there is one x-intercept at (0, 0, 0).
The y-intercepts:
To get the y-intercepts,
let x = 0 and z = 0.
Hence,
y^2/441 - 0 = 0y^2 = 0y = 0
Therefore, there is one y-intercept at (0, 0, 0).
The z-intercepts:
To get the z-intercepts,
let x = 0 and y = 0.
Hence,0 - 0/441 = zz = 0
Therefore, there is one z-intercept at (0, 0, 0).
b. The equations of the xy, xz and yz traces if they exist
The xy-trace: To get the xy-trace,
let z = 0.
Hence,
y^2/441 - x^2/441 = 00
= y^2 - x^2y^2 = x^2
This implies that y = ±x.
Thus, the xy-trace is the pair of straight lines:
y = x and y = −x.The xz-trace: To get the xz-trace,
let y = 0.
Hence,0 - x^2/441 = zz^2/21 = xx = ±21z
This implies that x = ±21z.
Thus, the xz-trace is a pair of straight lines:
x = 21z and x = −21z.
The yz-trace: To get the yz-trace, let x = 0.
Hence,
y^2/441 - 0 = zy^2/441 = zz = ±21y
This implies that y = ±21z.
Thus, the yz-trace is a pair of straight lines:
y = 21z and y = −21z.
c. The sketch of the graph of the surface
The graph of the surface is shown in the image below:
In mathematics, a quadric surface is a type of algebraic geometry surface. It is a surface that can be defined by a quadratic polynomial. In other words, a quadric surface is the graph of a quadratic function of three variables.The intercepts are the points at which a curve or surface crosses one of the three coordinate planes. A point is said to be an x-intercept if the curve or surface crosses the x-axis, a y-intercept if it crosses the y-axis, and a z-intercept if it crosses the z-axis. To find the intercepts of a quadric surface, we can set one of the variables to zero and then solve for the remaining variables.
The xy, xz, and yz traces of a surface are the intersections of the surface with the three coordinate planes. To find the xy-trace, we can set z=0, to find the xz-trace we can set y=0, and to find the yz-trace we can set x=0. Once we have set one of the variables to zero, we can solve for the other two variables to get the equations of the traces.
To sketch the graph of a quadric surface, we can use the intercepts and traces that we have found, along with our knowledge of the general shape of quadric surfaces. Depending on the type of quadric surface, the graph may be a point, a line, a plane, or a more complex curved surface.

To know more about geometry surface visit:
https://brainly.com/question/29365283
#SPJ11

Answer:

the answer is B  (2,1)

Step-by-step explanation:

Given the simultaneous equation

\(2x+3y=7 .....1\\x+y=3 ..........2\\\)

Using substitution method

from equation 2 :

\(x=3-y ....3\)

Substitute equation 3 into 1:

\(2(3-y)+3y=7\)

Open the bracket

\(2(3)-2y+3y=7\\6-2y+3y=7\\6+y=7\\y=7-6\\y=1\)

Substitute y=1 into x=3-y

\(x=3-1\\x=2\)

Hence the solution to the equation is (2,1)

PLEASE MARK ME AS BRAINLIEST

Answer:

the sale price of the flip flops after tax is $12.87.

Step-by-step explanation:

To calculate the sale price of the flip flops after tax, we need to consider both the discount and the sales tax. Here's how we can calculate it:Calculate the discounted price:

The flip flops cost $15, and there is a 20% discount. To find the discounted price, we subtract the discount amount from the original price:

Discounted price = $15 - (20% of $15)

To calculate the discount amount, we multiply the original price by the discount percentage (expressed as a decimal):

Discount amount = 20% of $15 = 0.20 * $15Discounted price = $15 - (0.20 * $15)Calculate the sale price after tax:

After applying the discount, we need to calculate the sales tax on the discounted price. To do this, we add the sales tax amount to the discounted price:

Sale price after tax = Discounted price + (7.25% of Discounted price)

To calculate the sales tax amount, we multiply the discounted price by the sales tax percentage (expressed as a decimal):

Sales tax amount = 7.25% of Discounted price = 0.0725 * Discounted priceSale price after tax = Discounted price + (0.0725 * Discounted price)Now, let's substitute the values and calculate:Discounted price = $15 - (0.20 * $15) = $15 - ($3) = $12Sale price after tax = $12 + (0.0725 * $12) = $12 + $0.87 = $12.87

Answer:

All of them are parallel

Step-by-step explanation:

This is due to the all of the 90 degree angle which would make the rest of the line a would be another 90 degree angle Which are found on every line. This would make all of the lines parallel because it is a total of 180 degrees.

Answer:

Option B

Step-by-step explanation:

Let 'x' represents the number of miles traveled and 'y' represents the total cost of of the taxi ride.

Cost of ride with a rate of $2.25 per mile = $2.25x

Since, service charge of the taxi = $3 for first mile

Total cost of the ride = 2.25x + 3

Equation for the cost of the ride will be,

y = 2.25x + 3

Since, farthest distance that the taxi can travel = 35 miles

That means value of x may vary between x = 0 to x = 35 (including x = 25)

Therefore, domain for the situation will be,

0 < x ≤ 35

Option B will be the answer.

The minimum value for the given expression is 1.

The expression you provided, a^2 b^2 /(a b)^2, can be simplified to (ab)^2 /(ab)^2.

Let's simplify this further. (ab)^2 means (a * b) * (a * b), which is equal to a^2 * b^2. Similarly, (ab)^2 is equal to a^2 * b^2.

So, (ab)^2 /(ab)^2 can be rewritten as a^2 * b^2 / (a^2 * b^2).

In this expression, a^2 * b^2 is the numerator, and a^2 * b^2 is the denominator. Dividing the numerator by the denominator, we get 1.

This means that, regardless of the values of a and b (as long as they are positive real numbers), the expression will always have a minimum value of 1.

Learn more about finding the minimum value of a function:

https://brainly.com/question/23824723

#SPJ11

On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

For more details about waiting time

https://brainly.com/question/24168195

#SPJ4

We can equate both the functions to evaluate value of x and that will be the solution of \(f(x) = g(x)\).

The solution is given as: \(x = 1\)

Solution of the equation \(f(x) = g(x)\)

\(f(x) = g(x)\\2x + 1 = -x + 4\\\\\text{Adding x on both the sides}\\2x + x + 1 = -x + x + 4\\3x + 1 = 4\\\\\text{Subtracting 1 from both the sides}\\3x + 1 - 1 = 4 - 1\\3x = 3\\\\\text{Dividing both the sides by 3}\\\dfrac{3x}{3} = \dfrac{3}{3}\\\\x = 1\)

Thus, the solution of given equation is given as \(x = 1\).

Learn more about solution of linear equations here:

https://brainly.com/question/10439298

Answer: { (-1/2)x - 1, -2 ≤ x ≤ 4

Step-by-step explanation:

Let's start with the first line:

The line passes through two points: (-5, 8) and (-2, 2). The hollow circle at (-5, 8) indicates that this point is not included in the graph, while the closed circle at (-2, 2) indicates that this point is included.

We can find the slope of the line using the two points:

slope = (change in y) / (change in x) = (2 - 8) / (-2 - (-5)) = -6 / 3 = -2

Using point-slope form, we can write the equation of the line as:

y - 2 = -2(x - (-2))

Simplifying:

y - 2 = -2x - 4

y = -2x - 2

Next, let's consider the second line:

The line passes through two points: (-2, -2) and (4, -5). The hollow circle at (-2, -2) indicates that this point is not included in the graph, while the closed circle at (4, -5) indicates that this point is included.

We can find the slope of the line using the two points:

slope = (change in y) / (change in x) = (-5 - (-2)) / (4 - (-2)) = -3 / 6 = -1/2

Using point-slope form, we can write the equation of the line as:

y - (-2) = (-1/2)(x - (-2))

Simplifying:

y + 2 = (-1/2)x + 1

y = (-1/2)x - 1

Now we can write the piecewise function:

f(x) = { -2x - 2, -5 ≤ x < -2

{ (-1/2)x - 1, -2 ≤ x ≤ 4

This piecewise function represents the two lines graphed on the given axes, where the first line is defined for x values between -5 and -2 (inclusive on -2 but not on -5), and the second line is defined for x values between -2 and 4 (inclusive on both).

Answer:

last year = 530570

this year = 424456

decreased plants = 530570-424456 = 106114

decreased percent = 106114÷530570×100%

= 20%

therefore 20% is the decrease precent in the number of potted plants ordered anually