The solution to an inequality is given in set-builder notation as {x l x > two-thirds}. What is another way to represent this solution set?

Answer:

Y= -1/5x + 1

Step-by-step explanation:

Just type it on a graphing calculator an click graph

Answer:  $26.70 per hour

Step-by-step explanation:

Regular hours consists of 8 hrs

Overtime hours is 12 - 8 = 4 hours

Regular pay at "x" per hour = 5(8)(x) = 40x

Overtime pay at "2x" per hour = 5(4)(2x) = 40x

                                                  Total pay = 80x

Total Pay = $2136 = 80x

                     [tex]\dfrac{\$2136}{80}=x[/tex]

                   $26.70 = x

Answer:

x = 8; y = 12.

Step-by-step explanation:

x + y = 20

x = -y + 20

3x + 4y = 72

3(-y + 20) + 4y = 72

-3y + 60 + 4y = 72

y = 12

x + 12 = 20

x = 8

Check your work!

3(8) + 4(12) = 72

24 + 48 = 72

72 = 72

Hope this helps!

Answer:

X=-12 and Y= 32

Step-by-step explanation:

x+y=20 -> 1

3x+4y=72 -> 2

Form 1,

[x+y=20]×4

4x+4y=60 ->3

Form 2,

3x+4y=72

4y= 72 -3x ->4

Sub (4) into (3)

4x+72-3x= 60

x = -12

Sub X=-12 into (1)

-12+y=20

y= 32

Hope this helps.

Step-by-step explanation:

Hi, there!!!!

The main purpose of developing si unit is to have standard unit of measurements and to bring uniformity in whole world in terms of measurements.

I hope it helps you...

Answer:

2 / 5.

Step-by-step explanation:

The slope is the rise over the run.

In this case, the rise is 2 - (-6) = 2 + 6 = 8.

The run is 4 - (-16) = 4 + 16 = 20.

So, the slope is 8 / 20 = 4 / 10 = 2 / 5.

Hope this helps!

Answer:

the slope of the line that goes through (4,2) and (-16,-6) is 2/5

m= 2/5

Step-by-step explanation:

in order to find the slope we use the ∆y/∆x which is really the change in y over the change in x.

so all you have to do is find your y's and X's.

your y's are -6 and 2

your X's are -16 and 4

now in order to find the change in y and x you subtract your y's and x'x

the formula for this is:

∆y/∆x = y1-y2/x1-x2= (m aka the slope)

y1 is -6

and y2 is 2

-6 - 2 = -8

now do the X's

X1 is -16

and X2 is 4

-16 - 4 = -20

put that in fraction form and it's -8/-20

simplify that you get 2/5

Answer:

1,675.516

Step-by-step explanation:

The formula for a cone is V = pi r^2 h/3.

Plugging in the values of the radius and height, V = pi 10^2 16/3

Solving, you get:

V = pi 100 5.3333333

V = 1,675.516

Answer:

x = 6

Step-by-step explanation:

The x-intercept of the equation is where the graph crosses the x-axis when y = 0. So, we simply plug in 0 for y:

2(0) - x = -6

0 - x = -6

-x = -6

x = 6

Alternatively, you can graph the equation into a graphing calc and analyze where the graph crosses the x-axis.

Answer:

-∞ < x< -∞

Step-by-step explanation:

The domain is the values that x takes

The values that x can take is all real values of x

-∞ < x< -∞

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

Explanation:

Subtract straight down. The x terms subtract to 5x-2x = 3x. The y terms subtract to 3y-3y = 0y = 0, so the y terms go away and are eliminated. The terms on the right hand side subtract to 31-25 = 6.

After all that subtraction, we end up with the equation 3x = 6 which solves to x = 2 after dividing both sides by 3.

Use x = 2 to find the value of y

5x+3y = 31

5(2)+3y = 31

10+3y = 31

3y = 31-10

3y = 21

y = 21/3

y = 7

or

2x+3y = 25

2(2)+3y = 25

4+3y = 25

3y = 25-4

3y = 21

y = 21/3

y = 7

Using either equation has x = 2 lead to y = 7.

Therefore, the solution is (x,y) = (2,7)

If you were to graph the two original equations, then they would intersect at (2,7).

Answer:

1/4

Step-by-step explanation:

The slope of a graph is always the rate of change for every value of x, in this case, days. Since she is adding 1/4 of a mile to her run each day, this means that the slope of this linear relationship is 1/4.

She increases a full mile in 4 days, just a little note.

Answer:

20

Step-by-step explanation:

Given that:

The study group n = 4

number of participants = 10

the sum of squares for the between-groups source of variation is  60

The objective is to determine the mean square  between groups in this study

The mean square  between groups in this study compares the means of the group with the  sum of squares for the between-groups source (i.e the grand mean)

For this analysis;

the degree of freedom = n-1

the degree of freedom = 4 - 1

the degree of freedom =  3

Thus; the mean square between groups = [tex]\dfrac{60}{3}[/tex]

the mean square between groups = 20

Answer:

b) tiene la mayor frecuencia

Step-by-step explanation:

Las medidas de tendencia central se refieren a un centro alrededor del cual se encuentran todos los datos y estas medidas son: la media, la moda y la mediana. La media es el valor promedio de un grupo de datos, la moda es el dato que se repite más veces y la mediana es el valor que se encuentra en el centro cuando los datos se ubican de menor a mayor. De acuerdo a esto, la respuesta es que la moda es una medida de tendencia central que tiene la mayor frecuencia.

Los otras opciones no son correctas porque el tamaño del conjunto de datos no depende de las medidas de tendencia central, esto depende de cada situación y pueden ser muchos o pocos datos. Además la opción "al ordenar los datos de menor a mayor es el dato que se ubica en el centro" se refiere a la mediana.

Answer:

Step-by-step explanation:

a. Given,

v = 34 , a = 5 , t = 3

[tex]v = u + at[/tex]

plugging the values:

[tex]34 = u + 5 \times 3[/tex]

Calculate the product

[tex]34 = u + 15[/tex]

Move 'u' to L.H.S and change its sign

[tex] - u + 34 = 15[/tex]

Move constant to RHS and change its sign

[tex] - u = 15 - 34[/tex]

Calculate

[tex] - u = - 19[/tex]

The difference sign (-) will be cancelled in both sides:

[tex]u = 19[/tex]

b. Given,

v = 50 , u = 20 , a = 5

[tex]v = u + at[/tex]

plugging the values

[tex]50 = 20 + 5 \times t[/tex]

[tex]50 = 20 + 5t[/tex]

Move 5t to L.H.S and change its sign.

Similarly, Move 50 to R.H.S and change its sign

[tex] - 5t = 20 - 50[/tex]

Calculate

[tex] - 5t = - 30[/tex]

The difference sign (-) will be cancelled in both sides

[tex]5t = 30[/tex]

Divide both sides of the equation by 5

[tex] \frac{5t}{5} = \frac{30}{5} [/tex]

Calculate

[tex]t = 6[/tex]

c. Given,

v = 22 , u = 8 , t = 7

[tex]v = u + at[/tex]

plugging the values

[tex]22 = 8 + a \times 7[/tex]

[tex]22 = 8 + 7a[/tex]

Move 7a to LHS and change its sign

Similarly, Move constant to R.H.S and change its sign

[tex] - 7a = 8 - 22[/tex]

Calculate

[tex] - 7a = - 14[/tex]

The difference sign (-) will be cancelled in both sides

[tex]7a = 14[/tex]

Divide both sides of the equation by 7

[tex] \frac{7a}{7} = \frac{14}{7} [/tex]

Calculate

[tex]a = 2[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

t > 212

Step-by-step explanation:

Given

Boiling point = 212°F

Required

Inequality that shows temperature greater than the boiling point

From the question, temperature is represented with t.

The inequality "greater than" is represented with >

So, temperature greater than the boiling point implies that t > 212

Answer: t > 212

Step-by-step explanation:

The question says "Write an inequality that is true only for temperatures that are higher than the boiling point of water."

This means t has to be higher than 212 since it says only for temperatures that are higher than the boiling point.

But since we have to write an inequality the answer would be: t > 212.

I know I did this very late and you probably don't need it but i was bored

Answer:

8.3miles

Step-by-step explanation:

Here Jeff's sister drives 14 miles

his brother only drives 57/10 miles then the question is only asking the difference between their distance of driving to school knowing fully well that Jeff's sister drive farther than his brother, then we find the difference between their drives which is done bow

14miles -57/10 miles

= 83/10

= 8.3miles

Therefore, Jeff's sister drive 8.3miles farther than his brother

Answer:

Step-by-step explanation:

let the parabola be y=a(x+5)²+0

or y=a(x+5)²

∵ it passes through (-3,1)

1=a(-3+5)²

4a=1

a=1/4

so parabola is y=1/4(x+5)²

Answer

5.85

Step-by-step explanation:

$0.05 x 1.5 = 0,075 x 1 hour (60) = 4,5

$0.03 x 1.5 = 0,045 x half an hour (30) = 1,35

So 4.5 + 1.35 = 5.85

Answer:

Step-by-step explanation:

Cost of the conference call before 8 pm =0.15 * 0.05 = $ 0.075

Cost of the conference call after 8 pm   = 0.15 * 0.03 = $ 0. 045

Cost of the conference call from 7pm to 8pm that last  60 minutes= 0.075 * 60

= $ 4.50

Cost of the conference call 8pm to 8:30pm =0.045 * 30 = $ 1.35

Cost of the conference call 7 pm to 8:30 pm = 4.50 + 1.35 = $ 5.85

Answer:

x=5,y=-1

Step-by-step explanation:

5x– 2y = 27

-3x +2y=-17

Add the two equations together to eliminate y

5x– 2y = 27

-3x +2y=-17

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

2x  = 10

Divide by 2

2x/2 = 10/2

x = 5

Now find y

-3x +2y = -17

-3(5)+2y = -17

-15+2y =-17

Add 15 to each side

-15+15 +2y = -17+15

2y = -2

Divide by 2

2y/2 = -2/2

y =-1

Answer: A. Factor 2 => 4x greater

                   Factor 3 => 9x greater

                   Factor 5 => 25x greater

Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:

A = 2.π.r.h

A cylinder of radius r and height h has area:

[tex]A_{1}[/tex] = 2πrh

If multiply both dimensions by a factor of 2:

[tex]A_{2}[/tex] = 2.π.2r.2h

[tex]A_{2}[/tex] = 8πrh

Comparing [tex]A_{1}[/tex] to [tex]A_{2}[/tex] :

[tex]\frac{A_{2}}{A_{1}}[/tex] = [tex]\frac{8.\pi.rh}{2.\pi.rh}[/tex] = 4

Doubling radius and height creates a surface area of a cylinder 4 times greater.

By factor 3:

[tex]A_{3} = 2.\pi.3r.3h[/tex]

[tex]A_{3} = 18.\pi.r.h[/tex]

Comparing areas:

[tex]\frac{A_{3}}{A_{1}}[/tex] = [tex]\frac{18.\pi.r.h}{2.\pi.r.h}[/tex] = 9

Multiplying by 3, gives an area 9 times bigger.

By factor 5:

[tex]A_{5} = 2.\pi.5r.5h[/tex]

[tex]A_{5} = 50.\pi.r.h[/tex]

Comparing:

[tex]\frac{A_{5}}{A_{1}}[/tex] = [tex]\frac{50.\pi.r.h}{2.\pi.r.h}[/tex] = 25

The new area is 25 times greater.

B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.

Answer:

Correct answer is option D. 96.4 yd.

Step-by-step explanation:

Please refer to the attached figure for labeling of the given diagram.

ABC is a triangle with the following labeling:

A is the hole, B is the Tee and C is the point where the ball is.

Sides are labeled as:

[tex]a =255\ yd\\c = 305\ yd\\\angle B =17^\circ[/tex]

To find:

Side [tex]b = ?[/tex]

Solution:

Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.

We can use cosine formula here to find the value of the unknown side.

[tex]cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]

Putting all the values:

[tex]cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd[/tex]

So, the distance between the Ball and hole is 96.42 yd

Correct answer is option D. 96.4 yd.

Answer:

D.) 96.4 yd

Step-by-step explanation:

I got it correct on founders edtell

Answer:

V = 200

Step-by-step explanation:

Cylinder

V = pi r^2 h

150 = pi r^2 h

We know that h = r

150 = pi r^2 r

150 = pi r^3

Divide each side by pi

150 /pi = r^3

Take the cube root of each side

( 150 / pi ) ^ 1/3 = r

3.627831679 = r

Rounding to 3.63

Now find the volume of the sphere

V = 4/3 pi  r^3

Replacing r^3 with 150 /pi

V = 4/3 * pi ( 150/pi)

V = 4*150 /3

V = 200

Answer:

266.67 feet^2.

Step-by-step explanation:

The scale is 1:40.

That means that if the scale has a width of 4 inches, the room will have a width of 4 * 40 = 160 inches. 160 / 12 = 80 / 6 = 40 / 3 feet.

The length in the model is 6 inches, so the room has a length of 6 * 40 = 240 inches. 240 / 12 = 120 / 6 = 60 / 3 = 20 feet.

The area will then be (40 / 3) * 20 = 800 / 3 = 266.67 feet^2.

Hope this helps!

Answer:  10 hours

Step-by-step explanation:

The 10hp pump takes x hours to empty the pool which means it gets [tex]\dfrac{1}{x}[/tex] of the job done in one hour.

The 6hp pump takes x+5 hours to empty the pool which means it gets [tex]\dfrac{1}{x+5}[/tex] of the job done in one hour.  

Together, they can get [tex]\dfrac{1}{x}+\dfrac{1}{x+5}[/tex] of the job done in one hour.

It is given that together they get the job done in 6 hours which means they get [tex]\dfrac{1}{6}[/tex] of the job done in one hour.

10 hp pump + 6 hp pump = Together

[tex]\dfrac{1}{x}\quad +\quad \dfrac{1}{x+5}\quad =\quad \dfrac{1}{6}[/tex]

Multiply by 6x(x+5) to eliminate the denominator:

[tex]\dfrac{1}{x}(6x)(x+5) +\dfrac{1}{x+5}(6x)(x+5) = \dfrac{1}{6}(6x)(x+5)[/tex]

Simplify and solve for x:

6(x + 5) + 6x = x(x + 5)

6x +  30 + 6x = x² + 5x

       12x + 30 = x² + 5x

                  0 = x² - 7x - 30

                  0 = (x - 10)(x + 3)

                  0 = x - 10         0 = x + 3

                  10 = x             -3 = x

Since the number of hours cannot be negative, disregard x = -3.

So, the only valid answer is x = 10.

Answer:

158

Step-by-step explanation:

The sequence is 3, 8, 13, ..., 253.

Going backwards, it's 253, 248, 243, ..., 3.

First term is 253, common difference is -5.

The nth term is:

a = 253 − 5(n − 1)

The 20th term is:

a = 253 − 5(20 − 1)

a = 158

Answer:

Step-by-step explanation:

First we must know that the sum of all the exterior angle of all polygons is 360°.

Measure of each angle of a polygon = 360°/total sides of the polygon

Since a regular nonagon has 9 sides, the measure of each angle of a polygon is expressed as thus;

Measure of each angle of a polygon  = 360°/9

Measure of each angle of a polygon  = 40°

Hence the measure of an exterior angle x of a nonagon is 40°

Answer:

B in Edg

Step-by-step explanation:

Answer:

[tex]\boxed{d = 54 yards}[/tex]

Step-by-step explanation:

Formula for diagonal is as follows:

[tex]d = \sqrt{l^2+w^2}[/tex]

Where d is diagonal, l is length (50 yards) and w is width (20 yards)

[tex]d = \sqrt{(50)^2+(20)^2}[/tex]

[tex]d = \sqrt{2500+400}[/tex]

[tex]d = \sqrt{2900}[/tex]

d = 53.85 yards

d ≈ 54 yards

Answer:

[tex]\boxed{\mathrm{54 \: yards}}[/tex]

Step-by-step explanation:

The shape of the pool is a rectangle.

The diagonal of a rectangle can be found through a formula by using Pythagorean theorem.

[tex]d^2=l^2 +w^2[/tex]

[tex]d=diagonal\\l=length\\w=width[/tex]

The length is given 50 yards, and width is given 20 yards. Find the diagonal.

[tex]d^2 =50^2 +20^2[/tex]

[tex]d^2 =2500+400[/tex]

[tex]d^2 =2900[/tex]

[tex]d=\sqrt{2900}[/tex]

[tex]d \approx 53.851648[/tex]

[tex]d \approx 54[/tex]

Answer:

first one

Step-by-step explanation:

Step-by-step explanation:

Let the other endpoint be (x,y)

Since, (1,6) is the midpoint between (9,1) and (x,y)

Therefore,

1=(9+x)/2

=> 2=9+x

=> x= -7

and,

6=(1+y)/2

=>12= 1+y

=> y=11

So, the other endpoint is ( -7, 11)

Answer:

Step-by-step explanation:

Let the coordinates of Endpoint 2 be

(x ,y)

The midpoint of the endpoints is given by

[tex](1,6) = ( \frac{9 + x}{2} , \frac{1 + y}{2} )[/tex]

Where x and y are coordinates of Endpoint 2

Comparing with the midpoint we have

[tex]1 = \frac{9 + x}{2} \\ 2 = 9 + x \\ \\ x = 2 - 9 \\ \\ x = - 7[/tex]

[tex]6 = \frac{1 + y}{2} \\ 12 = 1 + y \\ \\ y = 12 - 1 \\ \\ y = 11[/tex]

Therefore x = - 7 and y = 11

The coordinates of Endpoint 2 are

Hope this helps you

Hi there! :)

Answer:

Choice D. (y - 4) = 3(x + 2)

Step-by-step explanation:

An equation in point-slope form is:

(y - y1) = m(x - x1)

Where:

y1 = y-coordinate of a point

m = slope

x1 = x-coordinate of a point

In this instance, the point given is (-2, 4) with a slope of 3. Therefore, the equation in point-slope form would be Choice D. (y - 4) = 3(x + 2)

Answer:

Step-by-step explanation:

answer is C

Because formula of equation of slop is

Y-y1=m(x-x1)

Answer:

1.26 * 10 ^6

Step-by-step explanation:

1260000

Scientific notation is of the form a* 10 ^b

where a is a number between 1 and less than 10

Move the decimal 6 places to the left

1.26 ( dropping the extra zeros)

b = +6 since we moved the decimal 6 places)

1.26 * 10 ^6

The number 1260000 in scientific notation is 1.26 x [tex]10^6[/tex].

We have,

1260000

Write the zeroes in powers of 10.

Write a number between 1 to 10 along with the power of 10.

Now,

126 x 10000

This can be written as,

126 x [tex]10^4[/tex]

Now,

126 can be written as 126/100 x 100.

i.e

1.26 x 100 or 1.26 x 10²

Now,

1.26 x 10² x [tex]10^4[/tex]

1.26 x [tex]10^{2 + 4}[/tex]

1.26 x [tex]10^6[/tex]

Thus,

The number 1260000 in scientific notation is 1.26 x [tex]10^6[/tex].

Learn more about scientific notation here:

https://brainly.com/question/18073768P

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