What is the completely simplified equivalent of 2 over 5+i? the 'i' is 1! thx for the help!

Answer:

C. -n - 2

Step-by-step explanation:

Since there are no parenthesis for 3n + 2, you only distribute the 2 to (-2n - 1):

3n - 4n - 2

-n - 2

Answer:

C. -n - 2

Step-by-step explanation:

3n + 2(-2n - 1)

Expand the brackets.

3n + - 4n - 2

Add like terms.

- 1n - 2

-n - 2

Answer:

A

Step-by-step explanation:

Answer:

( a ) 463 " human resource professionals " believe that the appearance of a job applicant is most important for a good first impression

( b )  Percent wise the confidence interval should be from about 86.6% to 93.4%

Step-by-step explanation:

I believe these first two parts here is sufficient enough to get you started!

" In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. Part A: Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression?

Part B: Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. "

_____

( a ) We are given that n = 514, and p = 90%. The number of human resource professionals that said that the appearance of a job applicant is most important for a good first impression, should be the following -

514 x [tex]\frac{90}{100}[/tex]

= [tex]\frac{46260}{100}[/tex]

= 462.6

As the count of people can't be expressed as a fraction, the solution should be about 463 " human resource professionals. "

_____

( b ) Here the confidence level is 0.99 percent. Knowing that -

1 - ∝ = 0.99,

∝ = 1 - 0.99... = 0.01

Therefore, a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression should be calculated as directed in the attachment. By that the interval ranges as such -

0.8659 < p < 0.9341

And percent wise the confidence interval should be from about 86.6% to 93.4%

Answer:

(2,1)

Step-by-step explanation:

The point (2,1) is the only point that is not included in the shaded region so I would assume that it's not a solution to the system.

Answer:

n^2(n + 3)

Step-by-step explanation:

n^3 + 3n^2 factors as follows:  n^2(n + 3).  Note that this is an expression, not an equation.

Answer:

2.5 gallons

Step-by-step explanation:

Quarts of juice Mary bought = 10 quarts

1 quart = 0.25 gallons

10 quarts = 0.25×10 = 2.5 gallons

Therefore she bought 2.5 gallons

Hope this helps : ) . Have a nice day !

Answer:

1 & 2

Step-by-step explanation:

Remote interior angles are the angles inside of a triangle but not on the same straight line as the exterior angle (4)

Answer:

<1 and <2 are the remote interior angles for angle 4

Step-by-step explanation:

The remote interior angles that correspond to angle 4 are the angles that are in the triangle that are not adjacent to angle 4

<1 and <2 are the remote interior angles

Answer:

Step-by-step explanation:

a.  

L

=

329.9

c

m

2

;

S

=

373.9

c

m

2

.

b.  

L

=

659.7

c

m

2

;

S

=

483.8

c

m

2

.

c.  

L

=

659.7

c

m

2

;

S

=

813.6

c

m

2

.

d.  

L

=

329.9

c

m

2

;

S

=

483.8

c

m

2

.

Surface Area of a Cone:

In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.

The height of the cone is the length of a line segment that joins the base to the vertex of the cone.

The radius of the cone is the same as the radius of the base.

Surface area of a cone

(a) Lateral Surface Area

If  

l

and  

r

are the slant height and radius of a cone then its lateral surface area is given by the formula-

L

=

π

r

l

where  

L

is the lateral surface area of the cone

(b) Total surface area

It is the sum of the area of the circular base and the lateral surface area of the cone.

S

=

L

+

π

r

2

S

=

π

r

l

+

π

r

2

Where  

S

is the total surface area of the cone

Answer and Explanation:

Given that the radius and slant height of a right cone is  

7

c

m

and  

15

c

m

respectively

r

=

7

c

m

l

=

15

c

m

So the lateral surface area of the cone-

L

=

π

r

l

L

=

π

(

7

)

(

15

)

L

=

105

π

L

=

105

(

3.14159

)

L

=

329.866

L

≈

329.9

c

m

2

And the total surface area of the cone-

S

=

L

+

π

r

2

S

=

329.9

+

π

(

7

)

2

S

=

329.9

+

49

(

3.14159

)

S

=

329.9

+

153.937

S

=

483.83

c

m

2

So the lateral area and total area of a right cone are  

329.9

c

m

2

and  

483.8

c

m

2

respectively.

Answer:

Step-by-step explanation:

Step-by-step explanation:

a.  

L

=

329.9

c

m

2

;

S

=

373.9

c

m

2

.

b.  

L

=

659.7

c

m

2

;

S

=

483.8

c

m

2

.

c.  

L

=

659.7

c

m

2

;

S

=

813.6

c

m

2

.

d.  

L

=

329.9

c

m

2

;

S

=

483.8

c

m

2

.

Surface Area of a Cone:

In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.

The height of the cone is the length of a line segment that joins the base to the vertex of the cone.

The radius of the cone is the same as the radius of the base.

Surface area of a cone

(a) Lateral Surface Area

If  

l

and  

r

are the slant height and radius of a cone then its lateral surface area is given by the formula-

L

=

π

r

l

where  

L

is the lateral surface area of the cone

(b) Total surface area

It is the sum of the area of the circular base and the lateral surface area of the cone.

S

=

L

+

π

r

2

S

=

π

r

l

+

π

r

2

Where  

S

is the total surface area of the cone

Answer and Explanation:

Given that the radius and slant height of a right cone is  

7

c

m

and  

15

c

m

respectively

r

=

7

c

m

l

=

15

c

m

So the lateral surface area of the cone-

L

=

π

r

l

L

=

π

(

7

)

(

15

)

L

=

105

π

L

=

105

(

3.14159

)

L

=

329.866

L

≈

329.9

c

m

2

And the total surface area of the cone-

S

=

L

+

π

r

2

S

=

329.9

+

π

(

7

)

2

S

=

329.9

+

49

(

3.14159

)

S

=

329.9

+

153.937

S

=

483.83

c

m

2

So the lateral area and total area of a right cone are  

329.9

c

m

2

and  

483.8

c

m

2

respectively.

Answer:

[tex]\frac{5}{2} ; -4[/tex]

Step-by-step explanation:

2x² + 3x - 20 = 0

a = 2 ; b = 3 ; c = -20

[ -b ± √(b² - 4ac) ] /2a = [-3±√(3²-4*2*-20]/2*2

                                 = [-3±√(9+160)]/4

                                = [-3±√169 ]/4

                                = [-3± 13]/4

                                = [tex]\frac{-3+13}{4} ;\frac{-3-13}{4}\\\\=\frac{10}{4} ; \frac{-16}{4}\\\\=\frac{5}{2} , -4[/tex]

2x² + 3x - 20 = 0

2x² + 8x - 5x - 20 = 0

2x(x+4) - 5(x+4) = 0

(x+4)(2x-5) = 0

x+4 = 0

x = -4

2x - 5 = 0

2x = 5

x = 5/2

Answer:

57°

Step-by-step explanation:

Δ AOB has 2 equal sides as radius of the circle, this is isosceles triangle

So the angles ∠OAB= ∠OBA

∠AOB= 66° and sum of 3 angles = 180°

So  ∠OAB= (180° - 66°)/2= 57°

Answer:

50 in.

Step-by-step explanation:

Real building:

height 300 ft

width 200 ft

Model building:

height 6 in.

width 50 in.

300/6=50

Hope this helps! :) :)

The scale model of building is 4 inches wide.

The height of a building is 300 feet
its width is 200 feet
A scale model of the building is 6 inches high

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

let scale model of the building is "x" inches wide.
= 300/6 = 200/x
x = 4

Thus, The scale model of building is 4 inches wide.

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Answer:

Step-by-step explanation:

To answer this question we should analyze both functions :

here we must solve both equations :

the first one is obvious x=0 the scond is more interesting :

x²+2=0⇔x²=-2 wich is impossible since x²≥0 unless we use complex numbers .

So we notice thatf has one intercept.

we added 2 to f to get g but no real intercepts

Answer:

Area of ΔDEF = 12 in²

Step-by-step explanation:

Since they are similar, we have to find the scale factor

Scale Factor = [tex]\frac{Side OfDilated Triangle}{Side of Original Triangle}[/tex]

Scale Factor = 4/2

Scale Factor = 2

This means The area of ΔABC is 2 times the area of ΔDEF

So,

ΔABC = 2(ΔDEF)

Where Area of ΔABC = 24 in²

24 = 2(ΔDEF)

Dividing both sides by 2

=> Area of ΔDEF = 12 in²

Step-by-step explanation:

2x+3y=-14------equation i ×1

3x+y=-14--------equation ii ×3

2x+3y=-14

9x+3y=-42

-7x =- 28

x=4

Substitute for x in equation ii

3x+y= -14

3(4)+y=-14

12+y=-14

y=-14-12

y=- 26

Answer:

0.6 - 1/4

Convert the decimal to fraction

Thus

0.6 = 3/4

3/5 - 1/4

Find the LCM

the LCM is 20

We get

3/5 - 1/4 = (3(4) - 5)/ 20

= 12-5/20

= 7/20

2/5 + 0.75

0.75 = 3/4

Find the LCM

The LCM is 20

Thus

3/4 +2/5 = ( 3(5) + 2(4))/20

= 15 + 8 /20

= 23 / 20 or 1 3/20

1.75 - 1/6

Convert the decimal to fraction

1.75 = 7/4

Thus we get

7/4 - 1/6

Find the LCM

The LCM is 12

Thus

7/4 - 1/6 = ( 7(3) - 2)/12

= 21 - 2 / 12

= 19/ 12 or 1 7/12

3/10 + 2.125

Convert the decimal to fraction

2.125 = 17/8

Thus

3/10 + 17/8

Find the LCM

the LCM is 40

Thus

3/10 + 17/8 = ( 3(4) + 17(5))/40

= 12 + 85/40

= 97 /40 or 2 17/40

Hope this helps

Answer:

1.15

19/12

2.425

Step-by-step explanation:

2/5+0.75

2/5=4/10

4/10=0.4

0.75+0.4

1.15

1.75-1/6

1.75=7/4

7/4=14/8=21/12

21/12-2/12

19/12, or 1.5833...

3/10=0.3

0.3+2.125=2.425

a) a as a column vector is [tex]\left(\begin{array}{c}1\\-2\end{array}\right)[/tex]

b) 2a -b as a column vector is [tex]\left(\begin{array}{c}1\\-7\end{array}\right)[/tex]

To write a vector as a column vector, the number at the top is the magnitude of the x component (horizontal component) of the vector and the number at the bottom is the magnitude of the y component (vertical component) of the vector

Magnitude of the vertical component = 1

Magnitude of the vertical component = -2

NOTE: Negative sign indicates that the direction of the vector is downwards

Thus, vector a as a column vector is

[tex]a = \left(\begin{array}{c}1\\-2\end{array}\right)[/tex]

Hence, a as a column vector is [tex]\left(\begin{array}{c}1\\-2\end{array}\right)[/tex]

Magnitude of the vertical component = 1

Magnitude of the vertical component = 3

[tex]b = \left(\begin{array}{c}1\\3\end{array}\right)[/tex]

Now, we are to work out 2a - b

That is,

[tex]2a -b = 2 \left(\begin{array}{c}1\\-2\end{array}\right)-\left(\begin{array}{c}1\\3\end{array}\right)[/tex]

[tex]2a -b = \left(\begin{array}{c}2\\-4\end{array}\right)-\left(\begin{array}{c}1\\3\end{array}\right)[/tex]

[tex]2a -b = \left(\begin{array}{c}2-1\\-4-3\end{array}\right)[/tex]

[tex]2a -b = \left(\begin{array}{c}1\\-7\end{array}\right)[/tex]

Hence, 2a -b as a column vector is [tex]\left(\begin{array}{c}1\\-7\end{array}\right)[/tex]

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Answer: A. (-3,7)

Step-by-step explanation:

No work needed, you just need to look at the coordinate plane.

Coordinate II is x as a negative and y as a positive

Answer:

D, (5,-1)

5 is in the x axis

-1 is in the y axis

This point is it the second quadent

Hope this helps ( if incorrect try a)

Answer:

12

Step-by-step explanation:

because the more the root the faster the plant grows

Answer:

No.  She only estimated instead of hovering over the intersection to find the exact point.

Step-by-step explanation:

I used a graphing tool to graph the two lines. They pass at (6.25, -6.25). Since Keisha said the solution was (6, -6), which is not correct, she has most likely rounded the two values instead of finding the exact one.

Answer:

No. She used the wrong slopes when graphing the equations.

hope this helps i did it in Edge and got it right

mark me brainliest pls

Answer:

f=4

Step-by-step explanation:

6f = 24

÷6    ÷6

f=4

Answer:

f = 4

Step-by-step explanation:

6f = 24

f = 24/6

f = 4

Answer:

If they are opposite.

Answer:

The statement is true

Step-by-step explanation:

We have been given an equation of hyperbola

In the given equation of hyperbola center is located at h at -1 and k at 2. so:

C:(h,k) = (-1,2)

Coordinated of the foci of the hyperbola are given as:

Foci: (h, k ± c)

Substitute the values of h and k into the coordinated of foci of hyperbola.

Foci: (-1, 2 ± c)

Where c can be found by using the given formula

c = √(a²+b²)

c = √(16+144)

c = 4√10

So the the coordinates of the foci are:

Foci: (-1, 2 - 4√10) and (-1, 2 + 4√10)

Thus, the statement given is true

Answer:

Circle Circumference: 5

Triangle: 8

Circle Area: 3

Regular Polygon: 7

Parallelogram:6

Equilateral triangle: 1

Trapezoid:4

Rectangle:2

Step-by-step explanation:

I don't know how I would do a step by step explanation

Answer:

a) 90°

b) 56°

Step-by-step explanation:

If we connect O with B to get two isosceles triangles: ΔAOB and ΔBOC

∠BOC= is central angle ans is twice as ∠BAC, so equals to 2*34°= 68°

Then ∠BCA= (180°- 68°)/2= 56°

∠ABC= ∠ABO+∠CBO= 34°+56°= 90°

Answer:

12 3/5

Step-by-step explanation:

Distributive property is when you take a number for example 3 and multiple all of the numbers inside the () in this case 4 1/5

1. multiple 3 by 4 =12

2 multiple3 by 1/5= 3/5

3 write your awnser 4 3/5

Hoped this helped

Answer:

1. A = 2184 yd. P = 212 yd.

Step-by-step explanation:

1. To find the perimeter of an object you need to do this formula: 2L * 2W which is 2 times the length times 2 times the width.

To find the Area you have to do this formula: H * W which means height times width.

2. They would need the area to fill the rectangle since you need to fill it and the area is the inside of the rectangle

3. She will need the perimeter since she is walking around the field and the perimeter is the outside (around) the shape.

Answer:

5

Step-by-step explanation:

LM + MN = LN

4+5x = 9x

Subtract 5x from each side

4+5x-5x = 9x-5x

4 = 4x

Divide by 4

4/4 = 4x/4

1 =x

We want MN

5x =5*1 = 5

MN =5

Answer:

the length of MN is 5(1), or 5

Step-by-step explanation:

Segments add up to 9x here:  4 + 5x = 9x, so 4 = 4x and x must therefore be 1.

Then the length of MN is 5(1), or 5, and the length of LN is 9(1) = 9.

Answer: h(x) = 3*(1/6)^(x + 4)

Step-by-step explanation:

if we have a function g(x), and we want to create another function h(x) such that:

h(x) is a vertical contraction/dilation of factor a.

Then h(x) = a*g(x).

h(x) is a right shift of N units (N positive):

h(x) = g(x - N)

Then:

A vertical shink of factor 1/3 means that:

h(x) = (1/3)*g(x)

And a left shift of 4 units (or a right shift of -4 units) means that

h(x) = (1/3)g(x - (-4)) = (1/3)*g(x + 4)

and we know that:

g(x) = 9*(1/6)^x

Then:

h(x) = (1/3)*9*(1/6)^(x + 4) = 3*(1/6)^(x + 4)

Answer:

13<x<39 (range of hours)

Step-by-step explanation:

2<x<6 (x is the range of days)

Since each workday is 6.5 hours, multiply everything by 6.5:

13<x<39 (the new x is the range of hours)