9. Find the area of rectangle.
2x
A=
5x?
please help

Answer:

Length of each pieces= 1/8 inch

Step-by-step explanation:

Length of metal rod= 51/64 inch

1/64 was cut from one end and 1/32 was cut from the other end

Total cut out= 1/64 + 1/32

Total cut out= (1+2)/64

Total cut out= 3/64 inch

Length remaining= 51/64-3/64

Length remaining= 48/64 inch

So the remaining length was cut into six pieces.

Length of each pieces= (48/64) * 1/6

Length of each pieces= 8/64

Length of each pieces= 1/8 inch

Answer: y=x³+2 or f⁻¹(x)=x³+2

Step-by-step explanation:

To find the inverse of the radical function, we replace y with x and x with y. Then, you solve for y.

[tex]y=\sqrt[3]{x-2}[/tex]                        [replace y with x and x with y]

[tex]x=\sqrt[3]{y-2}[/tex]                        [cube both sides to cancel out the cubed root]

[tex]x^3=y-2[/tex]                          [add both sides by 2]              

[tex]x^3+2=y[/tex]

Now that we have switched the variables and solved for y, we know that the inverse function is y=x³+2 or f⁻¹(x)=x³+2.

Answer:

f^-1(x)=x^3+2

Step-by-step explanation:

Answer:

  2

Step-by-step explanation:

The parallel line will have the same coefficients, but a constant suited to the given point:

  x + 3y = constant

That is, A=1, B=3, so B-A = 2.

___

The constant for the parallel line will be -1.

Hi

1 mile = 5280 feet  

at  90 mile per hour, you have  5280 *90  = 475 200 feets  

an hour is  60*60 = 3600 second  

so in 1 second the train travel  :  475 200 /3600 = 4752 /36 = 132 feets

so in 10 seconds  :  132*10 = 1320 feets.

The feet train travel in 10 seconds is  1,320 feet .

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

Train traveling at a constant speed = 90 miles per hour

1 mile = 5280 feet  

By using unitary method:

feet does it travel in 1 seconds = [tex]\frac{90*5280}{60*60}[/tex]  

feet does it travel in 10 seconds = [tex]\frac{90*5280}{60*60} * 10[/tex]

                                                      = 1,320 feet

Hence, the feet train travel in 10 seconds is  1,320 feet .

To know more about unitary method  here:

https://brainly.com/question/22056199

#SPJ3

Answer:

Step-by-step explanation:

Divide the length of the paper strip into four equal sections of 1 inch each.

Mark the left end of the strip '0' and the right end '4.'  Label the '1,' '2,' '3' points.

Between these marks, label the strip as follows:

'1/4,' '1/2,' '3/4,' 1 (already marked), '1 1/4,' '1 1/2,' and so on.

Next time, please be sure to share ALL parts of the question with which you want help.  Thank you.

Answer:

0.62

Step-by-step explanation:

Probability of rain = 34% = 0.34

Probability of wind = 38% = 0.38

Probability of wind and rain = 10% = 0.1

P(wind U rain) = p(wind) + p(rain) - p(both)

= 0.34 + 0.38 -1

= 0.62

The probability that it would be rainy or sunny in any given day in April is 62%

Answer:

My answer is option C.

Step-by-step explanation:

Since you cannot eliminate it immediately then you will need to multiply it by each of the number to make them equal that means you will multiply the first equation by any number in the second equation that is you can use maybe -4 or 2 or 1. and then do the same to the other equation to make them equal...if you use 2 in the second equation for the first equation and you use 7 in the first equation for the second equation the you will make them equal which makes them easier to eliminate and then when you find y which is y=1/22 then you can substitute it into any of the equation and find your x which is x=13/11.

Answer: option c

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \sf{6x - 7(4 - 5)}[/tex]

Distribute 7 through the parentheses

[tex] \sf{6x - 28 + 35}[/tex]

Calculate

[tex] \sf{6x + 7}[/tex]

Hope I helped!

Best regards!!

Answer:

No

Step-by-step explanation:

Assuming that the x- and y- axes are respectively horizontal and vertical, a vertical line has an undefined slope and cannot be diagonal.

Note that only a diagonal line can have a slope defined.

Answer:

The answer is Plane P

Step-by-step explanation:

The reason for the answer is because a closed, two-dimensional or flat figure is called a plane shape. Different plane shapes have different attributes, such as the numbers of sides or corners. A side is a straight line that makes part of the shape, and a corner is where two sides meet.

Answer:

Seven and three million ten thousand and six.

Step-by-step explanation:

703 is in the millions place.

010 is in the thousands place.

and 006 is in the hundredths place.

hope this helps you!

Answer:

  multiplication

Step-by-step explanation:

The evaluation of ...

  13 -2·3 +4/4 +4

starts with the multiplication, because there are no exponents or parentheses.

  13 -6 +4/4 +4

Next is the division:

  13 -6 +1 +4

Finally, the addition and subtraction:

  7 +1 +4

  8 +4

 12

_____

We have assumed your x is not a variable, but is intended to indicate multiplication. We have also assumed that your "divided by" implies no particular grouping, so that the numerator is the first preceding number and only the first following number is in the denominator.

Answer:

(5/3 x - k)/c  =b

Step-by-step explanation:

x = 3 / 5 (cb+k)

Multiply each side by 5/3

5/3x =5/3* 3 / 5 (cb+k)

5/3x = (cb+k)

Subtract k

5/3 x - k = cb +k-k

5/3 x - k = cb

Divide by c

(5/3 x - k)/c  = cb/c

(5/3 x - k)/c  =b

Let

[tex]A=B=\begin{bmatrix}0&1\\1&0\end{bmatrix}[/tex]

Then

[tex]AB=BA=\begin{bmatrix}0&1\\1&0\end{bmatrix}^2=\begin{bmatrix}1&0\\0&1\end{bmatrix}[/tex]

Answer:

Step-by-step explanation:

from focus

[tex]\sqrt{(x+3)^2+(y-2)^2}[/tex]

from directrix

|y-4|

Answer:

D) x + y ≤ -4

    3x + 2y ≤ -5

Step-by-step explanation:

Step(i):-

we will choose the system of inequalities

                                             x + y ≤ -4

                                            3x + 2y ≤ -5

                                          x + y = -4 ...(i)

                                         3x + 2y = -5..(ii)

Multiply equation (i) with '3'

                                    3x + 3y = -12

                                    3x  + 2 y = -5

                                   -      -           +

                                    0 +  y =    -7              

Step(ii):-                              

Substitute   y  = -7  in equation (i)

                        x + y = -4

                       x - 7 = -4

                         x = -4 + 7

                        x = 3

The solution of the given inequalities is ( 3, -7)

Answer:

Step-by-step explanation:

[tex] \mathsf{ \frac{x}{4} = 2}[/tex]

Apply cross product property

[tex] \mathsf{x \times 1 = 2 \times 4}[/tex]

Calculate

[tex] \mathsf{x = 8}[/tex]

Hope I helped!

Best regards!

Answer:

[tex] \frac{x}{4} = 2[/tex]

X=2

Step-by-step explanation:

4•x/4=2•4

X=8

Answer:

The sample size is  [tex]n =419[/tex]

Step-by-step explanation:

From the question we are told that

    The population proportion is  [tex]p = 0.45[/tex]

     The  margin of error is  [tex]E = 0.04[/tex]

Given that the confidence level is  90%

  Then the level of significance can be mathematically represented as

          [tex]\alpha = 100 -90[/tex]

          [tex]\alpha = 10\%[/tex]

         [tex]\alpha = 0.10[/tex]

Next we obtain the level of significance from the normal distribution table the value is    

             [tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]

   Generally the sample size is mathematically represented as  

        [tex]n = [ \frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * p(1- p )[/tex]

substituting values

         [tex]n = [ \frac{1.645 }{0.04} ]^2 * 0.45(1- 0.45 )[/tex]

        [tex]n =419[/tex]

Answer:

15, 22, 88

Step-by-step explanation:

I assume you mean the second number is 7 more than the first.  Write the system of equations:

x + y + z = 125

y = x + 7

z = 4y

Substitute the third equation into the first.

x + y + 4y = 125

x + 5y = 125

Substitute the second equation.

x + 5(x + 7) = 125

6x + 35 = 125

6x = 90

x = 15

Solve for the other variables.

y = 22

z = 88

Step-by-step explanation:

the answer for 6y+21+7=4y−20+5y is

y =16

Step-by-step explanation:

1.

Point M is the bisector of AB

AM = 13...(given)

Therefore, AB = 2AM = 2* 13 = 26

2.

Ray MC is the bisector of AB

AM = 8...(given)

Therefore, AB = 2AM = 2* 8 = 16

3.

Line l is the bisector of angle AB.

BM = 26...(given)

Therefore, AB = 2BM = 2* 26 = 52

Answer:

a.   y = 6

b.  RS = 44

    ST = 37

    RT = 81

Step-by-step explanation:

RS = 7y + 2

ST = 5y + 7

RT = 14y - 3

find:

a.  y

b.  RS, ST, RT

RS + ST = RT

7y + 2 + 5y + 7 = 14y - 3

group like terms

7y + 5y + 2 + 7 = 14y - 3

12y + 9 = 14y - 3

9 + 3 = 14y - 12y

12 = 2y

y = 12/2

y = 6

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

b.

RS = 7(6) + 2

RS = 44

ST = 5(6) + 7

ST = 37

RT = 14(6) - 3

RT = 81

Answer:

a.   y = 6

b.  RS = 44;     ST = 37;     RT = 81

Step-by-step explanation:

RS + ST = RT

7y + 2 + 5y + 7 = 14y - 3

group like terms

7y + 5y + 2 + 7 = 14y - 3

9 + 3 = 14y - 12y

12 = 2y

y = 12/2

y = 6

plug in values to solve RS,  ST,  RT

RS = 7(6) + 2 = 44

ST = 5(6) + 7  = 37

RT = 14(6) - 3  = 81

The third column is optional/extra. It's to show which data values fit in what specific class limit interval.

===================================================

Explanation:

Imagine we had a bunch of cards. Each card will have a number that is from the data set {70, 88, 103, 64, ... etc}

The goal is to sort the cards into 7 boxes. The first box is labeled "60 through 66", the next is "67 through 73", etc.

The first box has 4 cards placed inside it because we have the values {64,65,60,60 } which fit the interval from 60 through 66. Therefore the frequency here is 4.

The next box has the cards labeled {70,69,71,72,70 } inside it. We have 5 cards here, so the frequency is 5.

This pattern is kept up until all of the cards have been sorted into the proper boxes.

What you'll end up with is what you see in the image below. It shows the table of class limits with their corresponding frequencies. I have added a third column to show which values go where, which is optional and likely something you wont put as your answer to the teacher. This third column is just something for you to help keep track of everything.

Answer:

-3.5

Step-by-step explanation:

An example is -3.5.

Answer:

Teachers are the one that teach the doctors how to do their profession. They are both critical parts of society and should both be respected. Though doctors work with patients and determine what problems they have and how to help solve them. They work on treatments and can reassure patients in tough situations. They only goal is to help others and keep everyone has happy and healthy as possible.

Complete Question

The mean height of women in a country (ages 20-29) is 64.4 inches. A random sample of 75 women in this age ground is selected. what is the probability that the mean height for the sample is greater than 65 inches? assume [tex]\sigma = 2.97[/tex]

Answer:

The value is  [tex]P(X > 65) = 0.039715[/tex]

Step-by-step explanation:

From question we are told that

  The mean is [tex]\mu = 64.4 \ inches[/tex]

  The  sample size is  [tex]n = 75[/tex]

The probability that the mean height for the sample is greater than 65 inches is mathematically represented as

     [tex]P(X > 65) = P[\frac{X - \mu }{ \sigma_{\= x} } > \frac{65 - 64.4 }{ \sigma_{\= x} } ][/tex]

Where  [tex]\sigma _{\= x }[/tex] is the standard error of mean which is evaluated as

     [tex]\sigma_{\= x } = \frac{\sigma}{\sqrt{n} }[/tex]

=>   [tex]\sigma_{\= x } = \frac{2.97}{\sqrt{75} }[/tex]

=>    [tex]\sigma_{\= x } = 0.343[/tex]

Generally [tex]\frac{X - \mu }{ \sigma_{\= x } } = Z(The \ standardized \ value \ of \ X )[/tex]

       [tex]P(X > 65) = P[Z> \frac{65 - 64.4 }{0.342 } ][/tex]

So  

    [tex]P(X > 65) = P[Z >1.754 ][/tex]

From the z-table  the value of  

     [tex]P(X > 65) = P[Z >1.754 ] = 0.039715[/tex]

     [tex]P(X > 65) = 0.039715[/tex]

Answer:

The  probability is  [tex]P(X < 20 ) = 0.68807[/tex]

Step-by-step explanation:

From the question we are told that

     The proportion of  total part-time workforce is  [tex]\r p = 0.221[/tex]

     The  sample  size is  n  =  80  

Generally the mean is mathematically represented as

         [tex]\mu = n* p[/tex]

          [tex]\mu = 0.221 * 80[/tex]

        [tex]\mu = 17.68[/tex]

The  proportion of not part - time   workforce

      [tex]q = 1- p[/tex]

=>   [tex]q = 1- 0.221[/tex]

=>   [tex]q = 0.779[/tex]

The  standard deviation is mathematically represented as

     [tex]\sigma = \sqrt{ 80 * 0.221 * 0.779 }[/tex]

     [tex]\sigma = 3.711[/tex]

Now  applying the normal approximation,

Then the  probability that fewer than 20 people from this sample were between the ages of 25 and 34 is mathematically represented as

     [tex]P(X < 20 ) = P( \frac{X - \mu }{ \sigma } < \frac{ 20 - 17.68 }{ 3.711} )[/tex]

Applying  continuity correction

     [tex]P(X < 20 ) = P( \frac{X - \mu }{ \sigma } < \frac{ (20-0.5 ) - 17.68 }{ 3.711} )[/tex]

       [tex]P(X < 20 ) = P( \frac{X - \mu }{ \sigma } < \frac{ (20-0.5 ) - 17.68 }{ 3.711} )[/tex]

      [tex]P(X < 20 ) = P( \frac{X - \mu }{ \sigma } < 0.4904 )[/tex]

Generally

      [tex]\frac{X - \mu }{ \sigma } = Z ( The \ standardized \ value \ of \ X )[/tex]

So  

    [tex]P(X < 20 ) = P( Z< 0.4904 )[/tex]

From the z-table  

        [tex]P( Z< 0.4904 ) = 0.68807[/tex]

The probability is  

         [tex]P(X < 20 ) = 0.68807[/tex]

Answer:

[tex]Volume = 4492.125\ unit^3[/tex]

Step-by-step explanation:

Given

Uniform Distribution X

X: 15 to 18

Required

Determine the expected volume

Since, X is uniformly distributed; We have to first determine the expected value of X as follows;

[tex]Mean(X) = \frac{b + a}{2}[/tex]

Where b = 18 and a = 15

[tex]Mean(X) = \frac{18 + 15}{2}[/tex]

[tex]Mean(X) = \frac{33}{2}[/tex]

[tex]Mean(X) = 16.5[/tex]

Since the box is a square box, the volume is as follows;

[tex]Volume = 16.5 * 16.5 * 16.5[/tex]

[tex]Volume = 4492.125\ unit^3[/tex]

Hence, the expected volume is 4492.125 unit³

Answer:

C            Mark me as brainliest!!!

Step-by-step explanation:

Answer:

Actually It Does Lx-21/x-2 you have to find out what the Letter x stands for and what the letter L stands For for you to be able to find the answer

Step-by-step explanation: