Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. 4y2 + 25y + 6

Answers

Answer 1

Answer:

  (4y +1)(y +6)

Step-by-step explanation:

We can rewrite the middle term and factor by grouping.

  4y^2 + 25y + 6 = (4y^2 +24y) +(y +6)

  = 4y(y +6) +1(y +6)

  = (4y +1)(y +6)


Related Questions

A college dining hall took a survey of 260 students on their favorite meals. one fifth of students selected macaroni and cheese as their favorite and 15% selected breakfast as their favorite answer. How many students chose a food other than the two above?

a. 52
b. 65
c. 91
d.169

Answers

Answer:

d. 169

Step-by-step explanation:

1/5 * ( 260) = 52

0.15 ( 260)=  39

out of 260 students 39 + 52 = 91 students chose a food / meal

the rest are 260 - 91 = 169 students chose a food other than the two

Subtracting polynomials

Answers

Answer:

-11xy

Step-by-step explanation:

Subtracting a negative means adding.

-14xy - (-3xy) = -14xy + 3xy = -11xy

You are out with friends. Half of you want to go bowling and the other half want to go to a movie. How will you make a fair decision about wether to go to a movie or go bowling using a fair coin and assuming that all of you want to go to either of the places together?

Answers

Answer:

A fair coin because at the end of the day it will be fun no matter where you guys go

Step-by-step explanation:

Using the fair coin one group could call heads while the other calls tails, whichever it lands on is where you’ll go. This would be a good decision as it’ll be at random and either way you’ll all be together and enjoy your time.

which basic geometric figure is labeled as cd

Answers

Answer:

a geometric figure labeled CD would be a segment

Step-by-step explanation: you need to attached the pictures with the question

how many solutions if both slopes are the same but the y-intercepts are different

Answers

Answer:

No solutions.

Step-by-step explanation:

You will only have solutions when the two lines meet. But since the slopes are the same, the two lines are parallel. Since the y-intercepts are different, that means that the two slopes will never intersect, which means that there are no solutions.

Hope this helps!

Answer: no solution

Step-by-step explanation: When lines have the same slope, the graphs of the two lines are parallel which means they never intersect.

Let's look at an example.

Below, you will see two equations.

Both of the lines have a slope of 1.

So, they must be parallel which means they don't cross.

So there is no solution.

0.25 multiplied by 15 = ?
What is ?

Answers

Answer:

Your correct answer is 3.75

Step-by-step explanation:

0.25 x 15 = 3.75

Answer:

3.75

Step-by-step explanation:

You can do this many ways. Write a table that looks like this:

0.25

   15

--------

Ignore all decimal points. Multiply the 5's together and carry the 2 to the next column. Multiply 2 x 5 + 2, write the second digit (which is 2) and carry the 1. Multiply 0 by 5 + 1 = 1, so your top number should be 125. Then, multiply all the numbers by the 1. 5 x 1 = 5; 2 x 1 = 2; 0 x 1 = 0. We now have something that looks like:

   0.25

       15

   --------

    1  2  5

0  2  5

Add these numbers together and add the decimal point 2 numbers from the right, since that's what was in the original decimal.

    1  2  5

0  2  5

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

    3.75

Find the standard divisor to two decimal places (hundredth) for the given population and number of representative seats.


Population : 140,000

# seats : 9


A) 15,555.56

B) 17,055.56

C) 13,056

D) 14,055.56

E) 16,055

Answers

Answer:

A

Step-by-step explanation:

A divisor refers to a number by which another number is to be divided.

So what this question is practically asking us is that which of the values in the options to 2 decimal places is the result dividing the population by the number of seats

Thus we have;

140,000/9 = 15,555.55555 which to 2 decimal places is 15,555.56

The number of mold cells doubles every 12 minutes. At this moment, there are x mold cells present on a piece of bread. Which of the following represents the number of mold cells present one hour from now?

Answers

Answer:

Step-by-step explanation:

Suppose that at time [tex]t_0[/tex] we have x mold cells. We are told that after 12 minutes the amount present is double. That is a [tex]t= t_0+12[/tex] we have 2x cells. Then, at [tex]t = t_0+24[/tex] we have (2x)*2 = 4x. We can continue as follows

[tex]t: t_0+36[/tex] we have (4x)*2 = 8x.

[tex]t: t_0+48[/tex] we have (8x)*2 = 16x

[tex]t: t_0+60[/tex] (one hour later) we have (16x)*2 = 32x.

So after one hour from now we have 32x cells.

The no. of mold cells one hour from now will be 32[tex]x[/tex].

Given,

The number of mold cells doubles every 12 minutes.

Let at time [tex]t[/tex] we have x mold cells.

So, after 12 minutes, the no of molds at[tex],t_{12} =t+12[/tex]  the no. of mold will be[tex]2x.[/tex]

After further 12 minutes at, [tex]t_{24} =t+24[/tex], the no. of mould will be [tex]4x[/tex].

After further 12 minutes at, [tex]t_{36} =t+36[/tex], the no. of mold will be [tex]8x[/tex].

After further 12 minutes at, [tex]t_{48} =t+48[/tex], the no. of mold will be [tex]16x.[/tex]

After further 12 minutes at, [tex]t_{60} =t+60[/tex], the no. of mold will be [tex]32x[/tex].

Hence the no. of mold cells one hour from now will be 32[tex]x[/tex].

For more details follow the link:

https://brainly.com/question/11897796

a number is one more than twice the other number. their product is 36. what are the numbers​

Answers

The answer is 4 and 9 hope this helps :)

Answer:

Possible solution 1: -4.5 and -8

Solution 2: 4 and 9.

Step-by-step explanation:

Let the two numbers be a and b.

One of them (let it be b) is 1 more than twice the other one. In other words,

b= 1+ 2a.

Their product is 36. Or:

a(b) = 36.

Substitute b:

a(1+2a) = 36

2a^2 + a = 36

2a^2 + a - 36 = 0

This is now a quadratic. We can factor to solve it. Find two numbers that equals 2(-36)=-72 and add to 1. We can use 9 and -8. Thus:

2a^2 - 8a + 9a - 36 = 0

2a(a - 4) +9(a-4) = (2a+9)(a-4) = 0

So, a = -9/2 = -4.5 or a = 4.

Thus, b can equal 1 + 2(-4.5) = -8 or 1 + 2(4) = 9

The vector x is in a subspace H with a basis Bequals​{Bold b 1​,Bold b 2​}. Find the​ B-coordinate vector of x. Bold b 1equals[Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 2 3rd Row 1st Column negative 3 EndMatrix ]​, Bold b 2equals[Start 3 By 1 Matrix 1st Row 1st Column negative 4 2nd Row 1st Column negative 7 3rd Row 1st Column 11 EndMatrix ]​, xequals[Start 3 By 1 Matrix 1st Row 1st Column negative 10 2nd Row 1st Column negative 17 3rd Row 1st Column 27 EndMatrix ]

Answers

Answer and Step-by-step explanation: To find the B-coordinate vector of x:

[tex]b_{1} = \left[\begin{array}{ccc}1\\2\\-3\end{array}\right][/tex] , [tex]b_{2} = \left[\begin{array}{ccc}-4\\-7\\11\end{array}\right][/tex], x = [tex]\left[\begin{array}{ccc}-10\\-17\\27\end{array}\right][/tex]

The augmented matrix will be:

[tex]\left[\begin{array}{ccc}1&-4&-10\\2&-7&-17\\-3&11&27\end{array}\right][/tex]

Transforming into reduced row-echelon form:

= [tex]\left[\begin{array}{ccc}1&-4&-10\\0&1&3\\0&-1&-3\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}1&-4&-10\\0&1&3\\0&0&0\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}1&0&2\\0&1&3\\0&0&0\end{array}\right][/tex]

The values for the vector will be:

x = 2

y = 3

The B-coordinate vector is of the form:

V = [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex]

V = [tex]\left[\begin{array}{ccc}2\\3\end{array}\right][/tex]

The B-coordinate vector of x is V = [tex]\left[\begin{array}{ccc}2\\3\end{array}\right][/tex]

how many terms are in the expression 6y+3+y+4y+5​

Answers

Answer:

  5

Step-by-step explanation:

The 5 terms in the expression are ...

  6y

  3

  y

  4y

  5

__

If like terms were combined, the expression could be reduced to one with 2 terms:

  11y +8

Answer:

5 terms

Step-by-step explanation:

In an expression, a term can be a number, a variable, or a number and variable multiplied together. Terms are separated by addition or subtraction.

In the expression:

6y+3+y+4y+5

There are 5 terms. The 5 terms are:

1. 6y

2. 3

3. y

4. 4y

5. 5

We can simplify this expression by combining like terms. We can add the constants (just numbers) and the terms with variables being multiplied by numbers.

6y+3+y+4y+5

(6y+y+4y)+(3+5)

11y+(3+5)

11y+8

Dertemine the direction that this parábola opens: y=-x^2-2x-5 (up or down)

Answers

Answer:

down

Step-by-step explanation:

x is negative

Find the volume of each solid. Round to the nearest tenth. IMG_7097.HEIC

Answers

Answer:

You didn't put an attachment to show what solid you wanted rounded

Step-by-step explanation:

g The equation for the change of position of a train starting at x = 0 m is given by The dimensions of b are Select one: a. L-1T-1 b. LT-1 c. T-3 d. LT-2 e. LT-3

Answers

Answer:

B. LT⁻¹

Step-by-step explanation:

The question is incomplete. Here is the complete question,

The equation for the change of position of a train starting at x = 0 m is given by x =(1/2)at² + bt³. The dimensions of b are__

from the equation of motion given, the constant b is the velocity of the body. For us to get the dimension of b, we have to find the dimension of the velocity .

Since velocity is the rate of change of displacement of a body, then;

VELOCITY = DISPLACEMENT/TIME

displacement is measured in metres while time in seconds.

expressing the formula in terms of its fundamental unit,

v = metre/secs

Since the fundamental quantity of the metre is length (L) and that of seconds is the time (T); the dimensions is expressed as;

V = L/T

V = L * 1/T

V = L * T⁻¹

V = LT⁻¹

Hence the dimension of b is  LT⁻¹.

Note that the dimension of a body is written in terms of its fundamental quantities.

The dimensions of b from the given equation are; B: LT⁻¹

Dimensional Analysis

The complete question is;

The equation for the change of position of a train starting at x = 0 m is given by x =(1/2)at² + bt³. The dimensions of b are__

Now, in that equation above, b represents the velocity of the motion. Now, the formula for velocity is;

Velocity = Distance/Time

Now, distance is also called Length and represented by L in basic parameters units while Time is represented by T.

Thus, the dimensions of b are; L/T or expressed as LT⁻¹

Read more on dimensional analysis at; https://brainly.com/question/1528136

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 249 cubic units.
What is the height of the cylinder?
O2 units
4 units
O 6 units
O 8 units

Answers

Answer:

h = 6 units

Step-by-step explanation:

Volume of a cylinder = πr²h

where r is the radius

h is the height

The height of a right cylinder is 3 times the radius of the base is written as

h = 3r

Volume = 249cubic units

So we have

249 = π r²(3r)

249 = π3r³

Divide both sides by 3π

r³ = 249/3π

r = 2

h = 3(2)

h = 6 units

Hope this helps you

which is true about the solution to the system of inequalities shown?

A) y ≥ 1/3x + 3 AND 3x - y > 2

B) y ≥ 1/2x + 3 AND 3x - y > 2

C) y ≥ 1/3x + 3 AND 3x + y > 2

D) y ≥ 1/3x + 3 AND 2x - y > 2

Answers

Answer:

the solution to the system of inequality is C

Find the slope of the line passing through the points (-3, -8) and (4,6).

Answers

Answer:

slope = 2

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have

[tex](-3;\ -8)\to x_1=-3;\ y_1=-8\\(4;\ 6)\to x_2=4;\ y_2=6[/tex]

Substitute:

[tex]m=\dfrac{6-(-8)}{4-(-3)}=\dfrac{6+8}{4+3}=\dfrac{14}{7}=2[/tex]

The formula for the slope m of the line that passes through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is the following:

[tex]m=\dfrac{y_1-y_2}{x_1-x_2}[/tex]

We have points (4,6) and (-3,-8). Let's plug these values into the formula for slope:

[tex]m=\dfrac{6-(-8)}{4-(-3)}[/tex]

[tex]=\dfrac{14}{7}=2[/tex]

The slope of the line passing through the two points is 2. Let me know if you need any clarifications, thanks!

In the diagram below, AB is parallel to CD. What is the value of X?

A. 60
В. 100
C.120
D. 80

Answers

The answer would have to be 60
Where is the diagram ?

Sam borrows $5700 at 4.5% simple interest for 3 years. Find the interest

Answers

Answer:

The interest is

$ 769.50

Step-by-step explanation:

Simple interest is given by

[tex]I = \frac{P \times R \times T}{100} [/tex]

where

P is the principal

R is the rate

T is the time given

From the question

The principal / P = $ 5700

The rate / R = 4.5%

The time given / T = 3 years

So the interest is

[tex]I = \frac{5700 \times 4.5 \times 3}{100} [/tex]

[tex]I = \frac{76950}{100} [/tex]

We have the final answer as

I = $ 769.50

Hope this helps you

You want to order carpet for an area in your house. The room measures 12 feet by 10 feet. The carpet is sold in square yards. How many square yards of carpet will you need?

Answers

Answer:

yards of carpet you need: 4*10/3=40/3=13.3333 yd^2

Step-by-step explanation:

convert feet to yard:

1 yard=3 feet so

12 feet=4 yards

10 feet=10/3 yard=3.33333 yard

yards of carpet you need: 4*10/3=40/3=13.3333 yd^2

6th grade math, help me please

Answers

Answer:

1. 2/5

Step-by-step explanation:

When it says the ratio is 5 to 2, that means 5 is always first:

5 : 2 is correct

5/2 is correct

10 : 4 is correct (multiplied 2 on both sides)

2/5 is incorrect because 2 is first. That means that this ratio would be 2 to 5, not 5 to 2.

Answer:

2/5

Step-by-step explanation:

because you are not supposed to flip the two numbers. You need to keep them in the same order.

Sorry, if this isn't the greatest answer. Its my first time.

Which expression is equivalent to 6 cubed? 6 times 3 6 times 6 times 6 6 times 6 times 6 times 6 3 times 3 times 3 times 3 times 3 times 3

Answers

The expression that is equivalent to 6 cubed is: 6 times 6 times 6.

This is true since cubed indicates that the base number is multiplied by itself 3 times.

So, 6^3 equates to 6 x 6 x 6.

Answer:

The expression that is equivalent to 6 cubed is: 6 times 6 times 6.

This is true since cubed indicates that the base number is multiplied by itself 3 times.

So, 6^3 equates to 6 x 6 x 6.

Step-by-step explanation:

A certain car model has a mean gas mileage of 34 miles per gallon (mpg) with a standard deviation A pizza delivery company buys 54 of these cars. What is the probability that the average mileage of the fleet is between 33.3 and 34.3 mpg?

Answers

Answer:

[tex] z =\frac{33.3- 34}{\frac{5}{\sqrt{54}}}= -1.028[/tex]

[tex] z =\frac{34.3- 34}{\frac{5}{\sqrt{54}}}= 0.441[/tex]

An we can use the normal standard table and the following difference and we got this result:

[tex] P(-1.028<z<0.441)= P(z<0.441) -P(z<-1.028) = 0.670 -0.152 =0.518[/tex]

Step-by-step explanation:

Assuming this statement to complete the problem "with a standard deviation 5 mpg"

We have the following info given:

[tex]\mu = 34[/tex] represent the mean

[tex]\sigma= 5[/tex] represent the deviation

We have a sample size of n = 54 and we want to find this probability:

[tex] P(33.3 < \bar X< 34.3)[/tex]

And for this case since the sample size is large enough >30 we can apply the central limit theorem and then we can use this distribution:

[tex]\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})[/tex]

And we can use the z score formula given by:

[tex] z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And replacing we got:

[tex] z =\frac{33.3- 34}{\frac{5}{\sqrt{54}}}= -1.028[/tex]

[tex] z =\frac{34.3- 34}{\frac{5}{\sqrt{54}}}= 0.441[/tex]

An we can use the normal standard table and the following difference and we got this result:

[tex] P(-1.028<z<0.441)= P(z<0.441) -P(z<-1.028) = 0.670 -0.152 =0.518[/tex]

Please help me. The function g(x) is a transformation of f(x). If g(x) has a y-intercept at 3, which of the following functions could represent g(x)?

Answers

Answer: D. g(x) = f(x)+4

The graph shows f(x) to have a y intercept at -1, which is where the diagonal line crosses the y axis. We want the y intercept to move to 3. So we must add 4 to the old y intercept to get the new y intercept.

We do this with every single point on f(x) to get g(x) = f(x)+4. This shifts the graph up 4 units.

I have attached the file

Answers

Answer:

sorry i am not able to understood

Step-by-step explanation:

Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. y=x^{3 / 2}, \ y=8, \ x=0y=x 3/2, y=8, x=0

Answers

Answer:

The volume of the solid using shell method is V= π(284/7)

Step by step Explanation:

Shell method is a method device to calculate the volume of a solid of revolution.

From the question, we were given

y=x³/₂

y=8,

x=0

then f(x)=8-x³/₂

The volume we were told to find , using the shell formula can be calculated using below formula

V=2π∫xf(x)dx

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

Answer the following question by entering the numeric value with appropriate units. If the length of one side of a square is 12.0 mm, what is the perimeter of the square? Express the perimeter with the appropriate units.

Answers

Answer:

48.0 mm

Step-by-step explanation:

A square has 4 equal sides. If one side is 12.0 mm the ll 4 sides are the same. so you can just multiply 12*4 and get 48.0 mm. That would be the answer. The   second way to solve it is to add 12 .0 mm 4 times and you would get 48.0 mm.

There were 3 adults and 9 children on the bus. What was the ratio of adults to children? Enter your answer in reduced form. (add explanation please!) (70 points!!!!!)

Answers

Answer:

1/3

Step-by-step explanation:

Ratios are basically comparisons of multiple numbers that shows their quantity relationship with each other. If we want to find the ratio of x to y, then the ratio is written as x : y or x/y.

Here, we want the ratio of adults to children. There are 3 adults and 9 children, so we have:

adults / children = 3 / 9 = 1/3

The answer is thus 1/3.

~ an aesthetics lover

Answer:

1:3

Step-by-step explanation:

The ratios of two terms is written as x:y.

3 ⇒ adults

9 ⇒ children

The ratio of adults to children:

3:9

Simplify the ratio.

1:3

How many ten-digit numbers have at least two equal digits?
Please explain!

Answers

Between 1,000,000,000 and 9,999,999,999 there are 9,000,000,000 different ten-digit numbers. Of those, 9*9! (9 times 9 factorial) = 3,265,920 have all ten digits different, i.e., no two equal digits. Take the difference of those two numbers, and you will have your answer.

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

Hope this helps!

Brainliest would be great!

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

With all care,

07x12!

a store specializing in mountain bikes is to open in one of two malls if the first mall is selected the store anticipates a yearly profit of $825,000 if successful a yearly loss of 275,000 otherwise the probability of success is 1/2 if the second mall is selected it is an estimated that the yearly profit will be 550,000 if successful otherwise the annual loss will be 165,000 the probability of success at the second mall is three Force​

Answers

Complete question :

a store specializing in mountain bikes is to open in one of two malls if the first mall is selected the store anticipates a yearly profit of $825,000 if successful a yearly loss of 275,000 otherwise the probability of success is 1/2 if the second mall is selected it is an estimated that the yearly profit will be 550,000 if successful otherwise the annual loss will be 165,000 the probability of success at the second mall is three Fourth (3/4).

What is the expected profit of thesecond mall?

Answer:

$453,750

Step-by-step explanation:

Given the following :

First mall:

Profit if successful = $825,000

Loss if otherwise = $275000

Probability of success = 1/2

Second mall:

Profit if successful = $550,000

Loss if otherwise = $165,000

Probability of success = 3/4

Expected profit of second mall:

If probability of profit ' P(profit)' = 3/4

Then,

Probability of loss P(loss) = 1 - P(profit)

P(loss) = 1 - 3/4 = 1/4

Expected profit:

[P(profit) * profit] + [P(loss) * loss])

(0.75 * $550,000) + (0.25 * (-$165,000))

$412,500 - $41,250 = $453,750

Other Questions
27) Jake tells a joke to 3 people and each of those people tells the joke to 3 more people,and so on. How many people will hear the joke in the 4th round of jokes told? Howmany people will hear the joke in total after the fourth round? Use the formula for the area of a circle to find the area of the bulls eye and the next ring together A. 22,686.5 mm2O B. 31,400 mm2O C. 452.39 mmO D. 314 mm2 the first nation to become independent from colonial rule. Choose the best estimate for the division problem below.68.362/7.12 A8 B. 10 C. 13 A free negro of the African race, whose ancestors were brought to this country and sold as slaves, is not a "citizen within the meaning of the Constitution of the United States. When the Constitution was adopted, they were not regarded in any of the States as members of the community which constituted the State, and were not numbered among its "people or citizens. Consequently, the special rights and immunities guarantied to citizens do not apply to them. And not being "citizens within the meaning of the Constitution, they are not entitled to sue in that character in a court of the United States, and the Circuit Court has not jurisdiction in such a suit.Dred Scott v. Sandford,Supreme Court of the United StatesWhich details does Taney use as evidence to support his reasoning? Check all that apply.A free negro of the African racewhose ancestors were brought to this country and sold as slavesnot a citizen within the meaning of the Constitution of the United Statesthey were not regarded in any of the States as members of the communitynot numbered among its people or citizens what is a perfect market? Internal corporate venturing consists of creating something new of value either by redefining the company's current products or services, developing new markets, or forming more formally autonomous or semiautonomous units or firms.A. TrueB. False One friend is stressing out over life and is over-eating to deal with all of the stress. The other friend says You are so grossing me out, aren't you worried you will get fat! Which one of the following stocks is correctly priced if the risk-free rate of return is 3.6 percent and the market risk premium is 8.1 percent? Stock Beta Expected Return A. 89 7.83% B. 1.52 12.59 C. 1.25 11.27 C 1.27 14.50 D. 80 10.08 5. Friday morning the Matthews family goes to town to buy groceries. The following threeoptions are available for cereal:CEREALCEREALCEREALOption 1:300 g for $3.89Option 2:450 g for $4.77Option 3:600 g for $6.59Which option is the best buy? Justify your answer. (17) If a curse was defined as something that causes trouble harm which inference best describes the one legged gypsy Use Lagrange multipliers to solve the given optimization problem.Find the maximum value of f(x, y)-xy subject to x + 2y 52. fmax=______ Also find the corresponding point (x, y)=__________. What is the correct chronological order of important evolutionary events? Group of answer choices Evolution of bipedalism; regular use of stone tools; enlargement of brain to around 1,450 cc; increase in enamel thickness. Blood returning from the body (systemic circulation) enters which chamber of the heart?right ventricle right atrium left ventricle left atrium Find the length L of the curve[tex]y = \sqrt{x} [/tex]from the point P(0,0) to the point Q(4,2) hi if anyone is good with extraneous solutions pleaseeeeeee help meeee tessa solves the equation below by first squaring both sides of the equationx^2-3x-6=x-1 what extraneous solution does tessa obtain x= What is the future value of a $900 annuity payment over five years if interest rates are 8 percent? (Do not round intermediate calculations and round your final answer to 2 decimal places.) what was the affect on the mandate system on former ottoman territory in the Middle East Find the distance between (-3,5) and (-9,5). Which of the following is an example of specific immunity?Coughing expels foreign materials from the body.OT-Lymphocytes recognize, attack, and destroy a pathogen.Phagocytes engulf and destroy microbes.The skin blocks the entrance of pathogens.