how many hours?????​

G(X) = (X - 5)/X

Yes... The domain of G(X) can be any value, EXCEPT zero, because we cannot have a fraction with zero in the denominator

Formalizing the domain of this function: D = {X / X ≠ 0}

(for the sake of information, when X tends to zero, the function tends to +∞)

Answer:

2

Step-by-step explanation:

Given

f(x) = | x - 4 | - 9, then

f(- 7) = | - 7 - 4 | - 9

        = | - 11 | - 9 ( absolute value returns a positive value )

        = 11 - 9

        = 2

Answer:

4(7+3x)

Step-by-step explanation:

We know that a square has all equal sides, otherwise it's not really a square. So if each side of the square is 7+3x units, then the perimeter (which is always side+side+side+side) would be 4 times as great. In other words, since the perimeter is side+side+side+side, and since that multiplication is repeated addition, 4(7+3x) is the same as (7+3x)+(7+3x)+(7+3x)+(7+3x)

Answer: 144

Step-by-step explanation:

Answer:

2,999,875

Step-by-step explanation:

3,000,000m -35=2,999,875

Answer:

HOPE it will be right... Good luck

Answer:

The answer is "GK=37, GH=14, and JK=19 ".

Step-by-step explanation:

In the question, an attachment file is missing.so, please find its attached file.

Given values:

GJ=4x+2

HK=6x-1

GK =37

Find:

HJ=?

GK = GJ+JK

     = GJ+(HK-HJ)

     = 4x+2+((6x-1)-x)

     = 4x+2+6x-1-x

     =  

9x+1...(a)

Solve equation (a) and put the value of x in the equation:

      =9(4)+1

       =36+1

       =37

find GH and JK=?

Given:

GK=37

Formula:  

GH = GJ-HJ

      = 4x+2- x

      = 3x+2....(b)

Solve equation (a):

GK= 9x+1

37=9x+1

36=9x

x=4....(c)

put the value of equation (b) in equation (c)

GH = 3x+2

      = 3(4)+2

      = 12+2

      = 14

Formula:

JK= HK-HJ

    = 6x-1- x

    = 5x-1

put the value of x in the above equation:

     = 5(4)-1

     = 20-1

     =19

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:as we know that arc length is

s=r*∅

as given angle in degree so  convert it in radian we get

angle=2.09 rad

r=3.5 cm

hence we get

s=3.5*2.09 =7.315 cm

perimeter of sector = s +d  where d=2*r=2*3.5=7 cm

perimeter of sector=7.315+7=14.315 cm

if you like it then hit the stars and tag it a brain-list

Answer:

x = 18

∠A = 83

Step-by-step explanation:

Since you have a line intersecting two parallel lines, the angles formed from the intersection will be equal to 180.  This means that you can add up the two angle measures and set them equal to 180.

(6x - 35) + (3x + 53) = 180

6x - 35 + 3x + 53 = 180

9x + 18 = 180

(9x + 18) - 18 = 180 - 18

9x = 162

x = 18

Now to solve for ∠A, plug in the x-value and solve.

∠A = 6x - 35

∠A = 6(18) - 35

∠A = 118 - 35

∠A = 83

The system is:

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

[tex]\frac{x-3}{y-3}=\frac{2}{3}[/tex] (y musn't be 3).

Solving for y in the first equation gives you:

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

Simplify the second equation to:

[tex]2(y-3)=3(x-3)[/tex]

Insert y you solved in first equation to second equation to get:

[tex]\frac{x}{x+2}-6=3x-3[/tex]

Further simplification gets you to quadratic equation:

[tex]x=(3x+3)(x+2)\implies x=3x^2+9x+6[/tex] [tex]3x^2+8x+6=0[/tex].

Solving quadratic equation using quadratic formula gives you two solutions of x in complex plane:

[tex]x_1=\boxed{-\frac{8}{6}+\frac{\sqrt{8}}{6}i}[/tex]

[tex]x_2=\boxed{-\frac{8}{6}-\frac{\sqrt{8}}{6}i}[/tex]

Insert the found x-es into first equation to find the y-s:

[tex]y_1=\boxed{-\frac{1}{2}+\frac{\sqrt{2}}{2}i}[/tex]

[tex]y_2=\boxed{-\frac{1}{2}-\frac{\sqrt{2}}{2}i}[/tex]

So there are two solutions (points) [tex]P_1(x_1,y_1),P_2(x_2,y_2)[/tex] both in [tex]\mathbb{C}[/tex] plane.

And the two fractions are:

[tex]\frac{-\frac{8}{6}+\frac{\sqrt{8}}{6}i}{-\frac{1}{2}+\frac{\sqrt{2}}{2}i}[/tex].

[tex]\frac{-\frac{8}{6}-\frac{\sqrt{8}}{6}i}{-\frac{1}{2}-\frac{\sqrt{2}}{2}i}[/tex].

Hope this helps.

Answer:

approximately 114.28 km/h

Step-by-step explanation:

Distance = rate * time (d = rt)

The distance from Ipoh to Tapah is 60 km, and the rate is 100 km/h. Therefore, the time it took to drive from Ipoh to Tapah is:

60 = 100t

t = 0.6 hours

The total distance from Ipoh to Kuala Lumpur is 220 km, and the average rate is 110 km.

Therefore, the time it took to drive from Ipoh to Kuala Lumpur is:

220 = 110t

t = 2 hours

So since we know that the time taken to go Ipoh -> Tapah is 0.6 hours and the time taken to go Ipoh -> Tapah -> Kuala Lumpur is 2 hours, the time taken to go Tapah -> Kuala Lumpur must be:

2 - 0.6 = 1.4 hours

And the distance from Tapah to Kuala Lumpur must be:

220 - 60 = 160 km

So the speed driven from Tapah to Kuala Lumpur must be:

160 = r * 1.4

r ≈ 114.28 km/h

Answer:

114.3 km/h

Step-by-step explanation:

We need to find te average speed from Tapah to Kuala Lumpur.

speed = distance/time

We need to find the distance and time from Tapah to Kuala Lumpur.

Ipoh to Tapah:

100 km/h over a distance of 60 km

Ipoh  to Kuala Lumpur:

110 km/h over a distance of 220 km

The total distance is from Ipoh to Kuala Lumpur.

speed = distance/time

distance = speed * time

time = distance/speed

time = 220 km / 110 km/h = 2 hours

Ipoh to Tapah.

time = distance/speed

time = 60 km / 100 km/h = 0.6 hour

Distance & time from Tapah to Kuala Lumpur:

220 km - 60 km = 160 km

2 hours - 0.6 hours = 1.4 hours

average speed from Tapah to Kuala Lumpur:

speed = distance/time = 160 km  /  1.4 hours

speed = 114.3 km/h

Answer:

already in order

Step-by-step explanation:

.00001, .0002, .003, .04, .5

Answer:

1^-5=1 2^-4 =6 3^-3=9 4^-2=8 5^-1=5

Step-by-step explanation:

All u have to do is focus on the negative sign!

Answer: If the lengths are 3 1/2, 2, and 4 2/3, the volume is 32 2/3

Step-by-step explanation:

3 1/2 * 2 * 4 2/3 = 32 2/3.

Answer:

The first set of ordered pairs is a function, because no two ordered pairs have the same first coordinates with different second coordinates. The second example is not a function, because it contains the ordered pairs (1,2) and (1,5).

Hope this helps you with your question.

Answer:

Step-by-step explanation:

[tex]\frac{-12}{3} (-8+(-4)^{2} -6)+2[/tex]

-4(-8+16-6)+2

-4(2)+2

-8+2

-6

Answer:

Fraction of the original board left = [tex]\frac{2}{15}[/tex]

Step-by-step explanation:

Let the length of the board is = l feet

Marty saws off [tex]\frac{1}{5}[/tex] of a wooden board.

Length of the board left = l - [tex](\frac{1}{5})l[/tex]

                                        = [tex](\frac{4}{5})l[/tex] feet

He saws off [tex]\frac{3}{4}th[/tex] of the remaining board,

Board left = [tex](\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})][/tex]

                = [tex]\frac{4}{5}l-\frac{3}{5}l[/tex]

                = [tex]\frac{1}{5}l[/tex] feet

He finally saws off [tex]\frac{1}{3}[/tex]rd of the remaining board.

Board left = [tex]\frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l[/tex]

                = [tex](\frac{1}{5}-\frac{1}{15})l[/tex]

                = [tex]\frac{2}{15}l[/tex] feet

Fraction of the original board left = [tex]\frac{\frac{2}{15}l}{l}[/tex]

                                                       = [tex]\frac{2}{15}[/tex]

Answer:

10

Step-by-step explanation:

Given:

End points of a line segment are given as:

(2, 4) and (4, y)

Mid point of the line segment is: (3, 7).

To find:

Value of y = ?

Solution:

If end points of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then mid point of the line ([tex]x, y[/tex]) is given by The Mid Point Formula:

Mid point formula:

[tex]x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}[/tex]

Here,

[tex]x_1 = 2\\x_2 = 4\\y_1 = 4\\y_2 = y\\[/tex]

[tex]x =3\\y=7[/tex]

Putting all the value to find [tex]y[/tex]:

[tex]7 = \dfrac{4+y}{2}\\\Rightarrow 4+y=14\\\Rightarrow \bold{y =10}[/tex]

So, the value of [tex]y[/tex] is 10.

Answer:

9.333

Step-by-step explanation:

[tex]19. \: cross \: multiplying \\ 6a = 7 \times 8 \\ 6a = 56 \\ \frac{6a}{6} = \frac{56}{6 } \\ a =9.333[/tex]

25. Cross multiplying

nx1 =0.19x12

n=2.28

Answer:

[tex]\Large \boxed{{19. \ a \approx 9.33}} \\ \\ \Large \boxed{25. \ n=2.28}[/tex]

Step-by-step explanation:

(19)

[tex]\displaystyle \frac{6}{8} =\frac{7}{a}[/tex]

Cross multiply.

[tex](6)(a)= (7)(8)[/tex]

[tex]6a=56[/tex]

Divide both sides by 6.

[tex]\displaystyle a = \frac{56}{6}=\frac{28}{3}[/tex]

[tex]a \approx 9.33[/tex]

(25)

[tex]\displaystyle \frac{1}{0.19} =\frac{12}{n}[/tex]

Cross multiply.

[tex](1)(n)=(0.19)(12)[/tex]

[tex]n=2.28[/tex]

Complete Question:

A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled, what is the probability of rolling a number greater than 10?

Answer:

[tex]P(T) = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

Number of Sides = 12

Required

Probability of obtaining a side greater than 10

We start by listing out the sample space;

[tex]S = \{1,2,3,4,5,6,7,8,9,10,11,12\}[/tex]

[tex]n(S) = 12[/tex]

Next, we list out digits greater than 10; Represent this with T

[tex]T = \{11,12\}[/tex]

[tex]n(T) = 2[/tex]

Probability of T is calculated as follows;

[tex]P(T) = \frac{n(T)}{n(S)}[/tex]

[tex]P(T) = \frac{2}{12}[/tex]

Divide the numerator and denominator by 2

[tex]P(T) = \frac{1}{6}[/tex]

Hence, the required probability is [tex]\frac{1}{6}[/tex]

Answer:

Step-by-step explanation:

To find the diameter Y of the circle we must first find the radius of the circle

Area of a circle = πr²

where

r is the radius

From the question

Area = 400cm²

Substitute the value into the above formula and solve for the radius

That's

400 = πr²

Divide both sides by π

We have

[tex] {r}^{2} = \frac{400}{\pi} [/tex]

Find the square root of both sides

[tex]r = \sqrt{ \frac{400}{\pi} } [/tex]

radius = 11.28 cm

Since we have the radius we can use it to find the diameter Y using the formula

diameter = radius × 2

radius = 11.28

Y = 11. 28 × 2

We have the final answer as

Hope this helps you

1 hour = 60 minutes.

20 minutes / 60 minutes = 1/3 of an hour.

20 minutes x 3 = 60 minutes = 1 hour

15 km in 20 minutes x 3 = 45 km per hour

Speed = 45 km/hr.

Answer:

[tex]\huge\boxed{v = 45\ km/hr}[/tex]

Step-by-step explanation:

Given:

Time = t = 20 mins = 20/60 = 0.33 hrs

Distance = S = 15 km

Required:

Speed = v = ?

Formula:

v = S/t

Solution:

v = 15 / 0.33

v = 45 km/hr

Answer:

loss per part is  $(-156).

Step-by-step explanation:

Given total loss = $(-$12,480)

no of identical parts produced = 80

let the loss per part be x

then, total loss for 80 parts = 80* loss per part  = 80x

given that total loss = $(-$12,480)

80x =  $(-$12,480)

x =  $(-$12,480) /80 = $(-156)

Thus, loss per part is  $(-156).

Here negative sign implies that it is a loss.

Answer:

4

Step-by-step explanation:

Answer:

20 paitents

Step-by-step explanation:

In the word problem since x represents the number of hours all you have to do is plug in 5 for the x-value.

y = 4 (5)

once you do that, multiply 4 x 5 and you get 20.

Answer:

C. 140

Step-by-step explanation:

C = 1/2 ( 360° - 80°)

c = 1/2 * 280°

c = 140°