A power line stretches down a 400-foot country road. A pole is to be put at each end of the road, and 1 in the midpoint of the wire. How far apart is the center pole from the left-most pole?

Answer:

0,1,2,3

Step-by-step explanation:

There is an open circle at -1 so it is not included

There is a closed circle at 3 so it is included

The integers between and including 3 are good

0,1,2,3

Answer:

-1,3

Step-by-step explanation:

Answer:

cot(45 -A) = cot(90 - (45 + A)) =  tan(45 + A) = tan2A + sec2A

Step-by-step explanation:

cot(45 -A) = tan2·(A) + sec2·(A)

We have;

tan2(A) + sec2(A) = sin2(A)/cos2(A) + 1/cos2(A) = (sin2(A) + 1)/cos2(A)

= (sin²(A) + cos²(A) + 2·sin·(A)cos(A))/(cos²A - sin²A)

= (sin(A) + cos(A))²/((cos(A) -sin(A))(cos(A) +sin(A)))

= (sin(A) + cos(A))/((cos(A) -sin(A)))

= (cos(A)(1 + sin(A)/cos(A)))/(cos(A)(1 - sin(A)/cos(A)))

= (1 + tan(A))/(1 - tan(A))

= (tan 45 + tan(A))/(1 - tan(45)·tan(A)) = tan(45 + A)

cot(π/2 - x) = tan(x)

= cot(π/2 - (45 + A)) =  tan(45 + A)

π/2 = 90°

= cot(90 - (45 + A)) =  tan(45 + A)

cot(45 - A) =  tan(45 + A) =  tan(2A) + sec(2A).

Answer:

x = -2

Step-by-step explanation:

x = -2, is a vertical line, y = 5 is a horizontal line.

Answer:

x=-2

Step-by-step explanation:

x=-2

Answer:

Option 2) [tex]x^{\frac{1}{8}}y^8[/tex]

Step-by-step explanation:

=> [tex](x^{\frac{1}{4} } y ^{16} )^\frac{1}{2}[/tex]

=> [tex]x^{\frac{1}{4} * \frac{1}{2} } * y ^{16*\frac{1}{2} }[/tex]

=> [tex]x^{\frac{1}{8}}y^8[/tex]

Answer:

0.628 m (This is the correct answer but I cant find it in your options)

Step-by-step explanation:

Radius = 10 cm = 0.1 m

Now, The circumference:

=> Circumference = [tex]2\pi r[/tex]

=> C = 2(3.14)(0.1)

=> C = 0.628 m

Answer:

B. 62.8m

Step-by-step explanation:

C= 2πr= 2*3.14* 10 m= 62.8 m

Assumed radius is 10 m as the answer options are in metre

Answer:

No it is not because it is only once when you get the fee

Step-by-step explanation:

So if you look at it, first of all there is not multiplication going on, so there are not ratios, second when there is only once that the fee added no matter to the amount of tickets, it means no propotion

Answer:

d

Step-by-step explanation:

(x,y,z)=(2,-3,0)+t(1,0,-1)

(x,y,z)=(2,-3,0)+(t,0,-t)

(x,y,z)=(2+t,-3,-t)

x=2+t

y=-3

z=-t

If you don't understand, you can ask me :)

Explanation:

The plan outlined here makes nearly best use of available resources and job constraints. It results in job completion in about 12 weeks, or 3 months.

__

For simplicity, we choose to work 5 hours per day, 5 days a week. Each skilled volunteer will complete their weekly 10 hours by working 2 days. Each unskilled volunteer will complete their 15 hours by working 3 days. Some volunteers will work an "interrupted" schedule that consists of non-consecutive work days. The purpose of this is to provide compliance with job site limitations, volunteer hour limitations, and to maximize continuity of communication as the job progresses.

A weekly schedule along these lines is shown in the attachment. It has 2 skilled volunteers and 6 or 7 unskilled volunteers on site each day. The ratio of skilled to unskilled volunteers is 31% : 69%. Each works the maximum number of hours for their skill level.

The net result is that 50 skilled hours and 165 unskilled hours are worked each week.

__

We assume the wording "three times as many unskilled volunteers are required to complete any job compared to skilled volunteers" means that 3 unskilled hours are equivalent to 1 skilled hour. (An alternative interpretation is that 45 hours of unskilled labor is equivalent to 10 hours of skilled labor.)

Using this assumption, job completion occurs at the equivalent rate of ...

  50 +165/3 = 105 . . . equivalent skilled hours per week

The total job requirement of 1200 skilled hours can be met in 12 weeks' time, well within the 6-month desired completion period. (Even using the alternate interpretation of labor equivalent, the job can be done in 14 weeks.)

__

In any given week, the 5 skilled volunteers are designated s1–s5, and the 11 unskilled volunteers are u1–u11. The days they're scheduled to work are identified by the weekday labels M, T, W, T, F. Skilled volunteer s1 works only Monday and Friday, and is responsible for week-to-week tie-in. Unskilled volunteers u2, u4, u7, u9 get two (2) days off in the middle of each week.

Answer:

m=5/3

y=5/3 x -5

Step-by-step explanation:

(3,0) , (0,-5)

m=y2-y1/x2-x1

m=-5-0/0-3

m=-5/-3

m=5/3

euation: y=mx+b when x=0 y=b=-5

y=5/3 x -5

check : y=0 , 5x/3=5 then x=15/5=3 correct

Answer:

y= 5/3x -5

Step-by-step explanation:

The rise from the first point is 5, and the run is 3. Seeing that rise over run = slope, the slope is 5/3. The line intercepts the y axis at -5 also, so the y-intercept is negative 5. Written in slope intercept form, y= mx+ b, the answer is y= 5/3x -5. 5/3 also equals 1.6 repeating. I am 100% sure.

Hey there! :)

Answer:

Choice 4: π/4, 3π4, 7π/4

Step-by-step explanation:

For the values of θ to have the same reference angles, the denominators of the radians must be the same. Therefore:

Choice 1: π/6, π/3, 5π/6 - incorrect. π/3 will have a different reference angle as it has a denominator of 3.

Choice 2: π/3, 5π/6, 4π/3 - incorrect. 5π/6 will have a different reference angle as it has a denominator of 6.

Choice 3: π/2, 5π/4, 7π/4 - incorrect. π/2 will have a different reference angle.

Choice 4: π/4, 3π4, 7π/4 - correct. All of these radians contain the same denominator, and will each have the same reference angles of π/4.

Answer:

A. 41

Step-by-step explanation:

19 - (-8) - (-14) =

19+8+14

Remember: Two negatives=One positive ;)

27+14

41

A. 41

Answer:

[tex]\mathrm{A.} \: 41[/tex]

Step-by-step explanation:

[tex]19 - (-8) - (-14)[/tex]

[tex]\mathrm{Apply \: rule:} \: -(-a)=a[/tex]

[tex]19+8+14[/tex]

[tex]\mathrm{Add \: the \: numbers.}[/tex]

[tex]=41[/tex]

Answer:

WX = 7.9

Step-by-step explanation:

By applying tangent rule (law of tan) in the given right triangle WXY.

tan(W) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(27)° = [tex]\frac{\text{XY}}{\text{WX}}[/tex]

0.509525 = [tex]\frac{4}{\text{WX}}[/tex]

WX = [tex]\frac{4}{0.509525}[/tex]

WX = 7.85

WX ≈ 7.9

Therefore, length of side WX is 7.9 units.

Answer:

84

Step-by-step explanation:

-3 multiplied by -28 equals 84. The two negatives cancel out.

Answer: ur answer would be  84

-3*-28

84

Answer:

a. +3

b. -12a

Step-by-step explanation:

Here, we want to know the steps that are involved in those unoccupied segments

let’s start with the output

6a + 18

So what turned a to 6a + 18

Let’s call that output x

Let’s reverse the last step that multiplied that term and a

Thus (6a + 18)/6 = a + 3

Thus the x-term we are looking for is + 3 before the multiplication by 6

Now for the second part;

a * 4 -3 = -12a

Answer:

n= 35/8

Step-by-step explanation:

7/n= 8/7

7/8 = n/7

7²/8 = n

n = 49/8

Answer:

Step-by-step explanation:

[tex] \frac{7}{n} = \frac{8}{7} [/tex]

Cross multiply

We have

49 = 8n

Divide both sides by 8

Hope this helps you

Answer:

Inga will have to sell $12,533 to earn more in commission than in salary.

Step-by-step explanation:

As the commission is the percentage of sales amount so, need to calculate the minimum sales value required.

Igna's salary = $375

Commission rate = 3%

Sale to earn more than salary = $376 / 3% = $12,533.33

Igna has to make a minimum sale of $12,533 per week in order to earn more commission than her salary.

[tex] < or \: [/tex]

i am not so sure

Answer: 81

Step-by-step explanation:

We know that to find the area of a square you have to square the side length.

So since we know that he area is 36 cm square, then we will find the square root of 36.

36/4= 9      Now we know that the side length is  9 and a square has four sides which are all equal. The perimeter is the distance around the shape.

So just multiply 9 by 9 to find the area

9*9 = 81

Answer:

7/20.

Step-by-step explanation:

Simply convert 35% to a fraction. You get 35/100. Then, you are expected to leave your fraction in its simplest form. Do the simplification, and you will derive 7/20.

Answer:

The value of x in this equation is 8.

Step-by-step explanation:

5x - 1 = 6x - 9

Subtract 6x on both sides.

-x - 1 = -9

Add 1 to both sides.

-x = -8

Divide by -1 on both sides.

x = 8

Answer:

the slope is 5

Step-by-step explanation:

y = 5 x – 3

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

the slope is 5 and the y intercept is -3

Answer:

The Slope is 5

Step-by-step explanation:

As seen in the y-intercept equation, 5x is shown as the slope of the line.

Answer:

y=-1/4(x+3)²+3

Step-by-step explanation:

Answer and explanation:

We khow that the standard form of a parabola is written this way:

ax^2 + bx +c

It can be factored if it has roots

◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇

In the graph we notice that the parabola has two x-intercepts wich means two roots

Let p and q be the roots

The equation can be written as:

a (x-p) (x-q)

We can khow the value of p and q from the graph

The parabola crosses the x-axis in -6,25 and 0.5

So the equation is:

Y=a(x-0.5) (x+6.25)

a is missing but we can find it

□□□□□□□□□□□□□□□□□□

Replace x and y bu the coordinates of a point in the parabola

Let's take (-3;3)

3= a (3-0.5) (3+ 6.5)

3 =a* 2.5* 9.5

a= 3/(2.5*9.5) = 0.12

So the equation is :

y= 0.12(x-0.5)(x+6.5)

y= (0.12x-0.6)(x+6.5)

y= 0,12x^2 + 0.78x -0.6x- 3.9

y= 0.12x^2 +0.18x-3.9

Divide by 3 to simplify :

y= 0.4x^2+0.6x-1.3

Multiply by 10 to get rid of the decimal numbers

y= 4x^2 + 6x -13

Answer: y=1/2x

Step-by-step explanation:

The equation we can use is slope-intercept form. The formula is y=mx+b. The m represents the slope, and b is the y-intercept. The line passes through the y-axis at (0,0). therefore, the y-intercept is 0.

To find the slope, we can take any two points and use the formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] to solve for slope. Let's use (2,1) and (4,2).

[tex]m=\frac{2-1}{4-2} =\frac{1}{2}[/tex]

The slope is 1/2. Our equation is y=1/2x+0 or y=1/2x.

Answer:

y=1/2x+0

Step-by-step explanation:

slope : 1/2

y=mx+b is the equation

y-intercept is 0 therefore the equation becomes:

y=1/2x+0

Answer:

1/8.

Step-by-step explanation:

12 1/2 %

= 12 1/2 / 100

= (25/2) / 100

= 25/200        Now 200/25 = 8 so the answer is

 1/8.

Answer:

31hr

Step-by-step explanation:

Answer:

I got 41000 cell phones.

Step-by-step explanation:

Step 1: I figured out the amount of each workers from 90

US Sock Production: 18 workers

Thailand Sock Production: 15 workers

US Cell Production: 27 workers

Thailand Cell Production: 30 workers

Step 2: I adjusted the workers amounts to the question's changes

US Sock Production: 18 - 10 = 8 workers

Thailand Sock Productions: 18 + 15 = 33 workers

US Cell Production: 27 + 10 = 37 workers

Thailand Cell Production: 30 - 18 = 12 workers

Step 3: Find the total amount of cell phones produced

4(1000) + 37(1000) = 41000 cell phones

*12/3 = 4 because 3 workers are needed to make 1000 cell phones

Answer:

The answer is given below

Step-by-step explanation:

The question is not complete because it does not contain the line plot. A line plot is attached and steps on how to calculate.

From the line plot, if  Maria stacked the books that were 3/4 inches thick on top of the books that were 1 inches thick, the result would be as follows.

A line plot shows the frequency of data using a number line. As seen from the line plot, 5 books are 3/4 inches thick and 4 books are 1 inches thick. If the 1 inches thick books was stacked on the 3/4 inches thick book, the resulting thickness would be: [tex]Thickness\ of\ books=\frac{3}{4} inches/book *5\ books+1\ inches/book*4\ books\\ = 3.75\ inches+4\ inches = 7.75 \ inches[/tex]

Therefore Maria pile of books as a result of stacking 3/4 inches thick on top of the books that were 1 inches thick = 7.75 inches

Answer:

7.75

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

A) because what Omyra found is the distance for an hour and what she should have found is the distance for an hour and a half.

B) because the pythagorean theorem is a^2+b^2=c^2. The legs of an triangle should always be squared before being added.

Answer:

For this case the distance will be given by:

d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2

Rewriting we have:

d ^ 2 = (18) ^ 2 + (12) ^ 2

d ^ 2 = 324 + 144

d ^ 2 = 468

d = root (468)

d = 21.63 Km

Answer:

1) She did not find the full distance each traveled in 1.5 hours.

2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.

Step-by-step explanation:

Answer:

61 / 90, 62 /90, 63 /90, 64/90, 65/90

Explanation:

2/3 = 2 x 5 / 3  x 5 

       = 10 / 15 

4/5 = 4 x 3 / 5 x 3 

       12 / 15 

we can find 5 rational numbers betwen 2/3 and 4/5 by multiplying them with 5 + 1 = 6 

10 / 15  X 6 /6 

= 60 / 90 

12/ 15 X 6 /6 

= 72 / 90 

the rational numbers = 61 / 90  62 /90  63 /90  64/90  65/90  

Answer:

31/45, 32/45, 11/15, 34/35, 7/9.

Step-by-step explanation:

The LCM of 3 and 5 is 15 so we can write 2/3 and 4/5 as:

10/15 and  12/15 so one rational number between these is 11/15.

Now 11/15 = 33/45 and 4/5 = 36/45

So 2 rationals between these are 34/45 and 35/45 = 7/9

2/3 = 30 /45 and 11/15 = 33/45

so  2 rationals between these are 31/45 and 32/45.