Write each of the following expressions without using absolute value. |z−6|−|z−5|, if z<5

Answer:

1290000

Step-by-step explanation: Given that

The volume of the Sun is about = 1.41 x 10^18 cubic kilometers.

The volume of Earth is about 1.09 x 10^12 cubic kilometers.

The number of Earths that can fit inside the Sun can be found by dividing the Sun's volume by Earth's volume.

= Volume of Sun ÷ Volume of the Earth

= 1.41 x 10^18 cubic km/1.09 x 10^12 cubic km

= 1.41 x 10^18/1.09 x 10^12

=(1.42/1.09)× 10^18-12

= 1.29×10^6

n is 1.29×10^6.

Hence the number of Earth that can be fitted in the Sun is 1290000

Answer:

Step-by-step explanation:

The area of a parallelogram is equal to the product of the length of its side and the height of the parallelogram perpendicular to that side.

H = 9 cm

S = 21 cm

A = S•H = 21 cm • 9 cm = 189 cm²

Answer:

[tex]\boxed{Option \ A}[/tex]

Step-by-step explanation:

y-intercept = b = 2   [y-intercept is when x = 0]

Slope = m = -3/7

Putting this in slope-intercept equation

=> [tex]y = mx+b[/tex]

=> [tex]y = -\frac{3}{7}x + 2[/tex]

Answer:

a

Step-by-step explanation:

here is your formula then

Answer:

19

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

< DBG = 1/2 ( DG)

< DBG = 1/2 ( 360 - BD - BG)

           = 1/2 ( 360 - 172 - 150)

           = 1/2 (38)

           = 19

Answer:

Lines a and c.

Step-by-step explanation:

m∠1=42° and m∠3=138°. 42 + 138 = 180, so the two angles form a 180° angle. That means that lines a and c are parallel.

Hope this helps!

Answer:A is parallel to C

Step-by-step explanation:

Statement            |    Reason

42*+138*=180*     |Corresponding angles

There fore A||C aka a parallel to c

42*+140*=180*   | Same side int. angles

Therefore A no || B aka A is not parallel to B

138*=140*            | Same side int. Angles

Therefore B And C are not parallel and A,B. and C are not parallel

The answer is A||C or A is parallel to C

Answer:

49

Step-by-step explanation:

[tex]3x^2+5x-2 = 0[/tex]

Apply discriminant formula : [tex]D = b^2- 4ac[/tex]

[tex]D=discriminant\\b=5\\a=3\\c=-2[/tex]

[tex]D = b^2- 4ac[/tex]

Plug in the values for a, b, and c.

[tex]D = 5^2- 4(3)(-2)[/tex]

Evaluate.

[tex]D = 25- 12(-2)[/tex]

[tex]D = 25- - 24[/tex]

[tex]D=25+24[/tex]

[tex]D=49[/tex]

Answer:

49

Step-by-step explanation:

3x²+5x-2 = 0

This is in the form

ax^2 + bx + c=0

a=3  b=5  c = -2

The discriminant is

b^2 -4ac

5^2 -4(3) (-2)

25 + 24

49

The discriminant is 49

Answer:

g(x)= 0.05x represents the amount of bonus, f(x)=x-3,000 represents weekly sales over $3,000.

Step-by-step explanation:

The function f(x) represents how much money earned by sales person weekly over $3000.

And function g(x) represents the amount of bonus earned by salesperson.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) is called function.

According to the given question.

The percent of bonus earned by salesperson weekly on sales over $3,000 is 5%.

Also, we have two functions.

[tex]f(x) = x - 3000[/tex]

and [tex]g(x) = 0.05x[/tex]

For the function, f(x) if x is the amount of money earned salesperson in a week, then f(x) will represents how much money salesperson earned apart form $3000.

And the function g(x) represents the amount of bonus earned by the salesperson.

Hence, the function f(x) represents how much money earned by sales person weekly over $3000. And function g(x) represents the amount of bonus earned by salesperson.

Find out more information about function here:

https://brainly.com/question/12431044

#SPJ2

Answer:

[tex]39x^2-416xy[/tex]

Step-by-step explanation:

To simplify, we have to distribute the 13x to 3x and -32y. To distribute, we multiply 13x with the first number, and then the second.

[tex]13x*3x=39x^2\\13x-32y=-416xy\\39x^2-416xy[/tex]

The first number is squared ([tex]39x^2[/tex]) because when two [tex]x[/tex]s get multiplied by each other, then it creates a square. We never do this: [tex]39xx[/tex]

Our answer is:

[tex]39x^2-416xy[/tex]

Hope this helps!

Answer:

[tex]\boxed{39x^2-416xy}[/tex]

Step-by-step explanation:

[tex]13x(3x-32y)[/tex]

First step into solving the problem will be to apply the distributive law.

[tex]13x(3x)+13x(-32y)[/tex]

Multiply the terms and simplify.

[tex]39x^2 +-416xy[/tex]

Answer:

more explanation ?

Step-by-step explanation:

Answer:

Pretty Simple!

Now that you know about ratios and all that, this is pretty tame compared to the last problem.

Now, the problem is talking 2D(2 Dimensions)

The ratio is not going to work because it has only one parameter.

Thus, we need to square it!

[tex](\frac{1}{20})^{2} =\frac{1}{400}[/tex]

Thus, we have your correct ratio.

Now, we only need to do the same thing for the triangle problem. Meaning that, we need to compare the ratios, with x as the thing we are looking for.

[tex]\frac{1}{400}=\frac{219}{x} \\x=87,600[/tex]

See? X is practically handed to us.

Hope this helps!

Answer:

false

Step-by-step explanation:

x/11 +1=7/15

x/11 =7/15 - 1

x/11 = -8/15

They are unequal .So, It is false

Answer:

C) False

D) True

Step-by-step explanation:

C. False

[tex] \frac{x}{11} + 1 = \frac{7}{15} = \frac{x}{11} = \frac{7}{15} + 1 = \frac{7 + 15}{15} = \frac{22}{15} [/tex]

We can see that they are never equal.

D. True

Both have 'x' and 'y' as they terms.

Hope this helps ;) ❤❤❤

Answer: 1/5

Step-by-step explanation:

Given the following :

Total number of ducks in pool = 30

Mark 1 = 15 ducks

Mark 2 = 9 ducks

Mark 3 = 6 ducks

Probability of picking a duck with Mark 3:

Probability = (number of required outcomes / total possible outcomes)

Number of required outcomes = number of ducks with mark 3 = 6 ducks

P(picking a duck with Mark 3) = 6/30

6/30 = 1/5

= 1/5

Answer:

x = 3.

Step-by-step explanation:

In this case, the x-value never changes, no matter the value of the y. So, x will always equal 3. Your equation is x = 3.

Hope this helps!

Answer:

x=3

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

The final had an extra credit as 25, so without it it would be 135. Then, you would divide by three to find that the first test had 45 points.

Answer:

45

Step-by-step explanation:

The final had an extra credit as 25, so without it it would be 135. Then, you would divide by three to find that the first test had 45 points.

Answer:

yes, by AAS there are two sides of corresponding angles

Step-by-step explanation:

HOPE this helps...

Answer:

Last option..

Yes by AAS

Step-by-step explanation:

the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal

Therefore by this statement we understand that these two are the sides of the corresponding angles!

Hope it helps!

Answer:

UV=10.5

Step-by-step explanation:

in triangle XUV it is a right angle at U

sin41=opp/hyp

sin 4` =UV/16

UV=16sin41°

UV=10.5

Answer:

Step-by-step explanation:

The gray shadowed area is below descending function and the line is dashed.

It means coefficient x is m<0 and the sign of inequality is y <  

So the inequality wich  fit it is  y < -1/2x + 2

The blue shadowed area is above ascending function and the line is uninterrupted.

It means coefficient x is m>0 and the sign of inequality is y ≥

So the second inequality of system (y ≥ 3x - 1)  also match.

The system of linear inequalities represented by this graphed solutions are y ≤ -1/2x + 2  and y < 3x - 1​

The standard equation of a line is expressed as y = mx + b;

For the blue line, the y-intercept is at y = -1. For the slope passing through (0, -1) and (2, 5):

m = 5+1/2-0

m= 6/2

m = 3

The equation of the line is y = 3x - 1

Since the line is dashed and the left part shaded, the inequality expression will be y < 3x - 1

For the black line, the y-intercept is at y = 2. For the slope passing through (0, 2) and (4, 0):

m = 0-2/4-0

m= -2/4

m = -1/2

The equation of the line is y = -1/2x + 2

Since the line is solid and the lower part shaded, the inequality expression will be y ≤ -1/2x + 2

Hence the system of linear inequalities represented by this graphed solutions are y ≤ -1/2x + 2  and y < 3x - 1​

Learn more on inequality graph here: https://brainly.com/question/9774970

Answer:

tan θ × sin θ

From trigonometric identities

[tex] \tan(θ) = \frac{ \sin(θ) }{ \cos(θ) } [/tex]

So we have

[tex] \frac{ \sin(θ) }{ \cos(θ) } \times \sin(θ) [/tex]

We have the final answer as

[tex] \frac{ \sin(θ)^{2} }{ \cos(θ) } [/tex]

Hope this helps you

Answer:

  0 < x < 3/2

Step-by-step explanation:

The dimensions are positive when ...

  18 -2x > 0   ⇒   x < 9

  3 -2x > 0   ⇒   x < 3/2

  x > 0

So, the values of x where the model makes sense are ...

  0 < x < 3/2

Answer:

360°

Step-by-step explanation:

The sum of all the exterior angles of a triangle is equal to 360 degrees.

Answer:

It would be 360*

Step-by-step explanation:

112+129+119

Answer:

79%

Step-by-step explanation:

To find the median, you need to arrange the numbers in ascending order. Than pick the middle number. If there are two middle numbers then you add them together and then divide by 2.

Answer:

79%

Step-by-step explanation:

Answer:

18m square

Step-by-step explanation:

Formula for rectangular- based pyramid is L x W x H divided by 3

= 3 x 5 x 3.6 divided by 3 = 18

So you would need 18 m square for the sculpture

Answer:

There is not enough information.

Step-by-step explanation:

Answer: 180

Step-by-step explanation:

Let the tons of ice the ship was carrying when it set sail be y.

We are told that one third of the original cargo was lost because it had melted on the voyage and that it arrived in Calcutta with 120 tons remaining of its cargo of ice.

This means that (1 - 1/3 = 2/3) remained which was the 120 tons remaining. This implies that:

2/3 × y = 120

2y/3 = 120

2y = 120 × 3

2y = 360

y = 360/2

y = 180

The ship was carrying 180 tons of ice when it set sail

Answer:

y = 3x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x - y + 12 = 0 ( subtract 3x + 12 from both sides )

- y = - 3x - 12 ( multiply through by - 1 )

y = 3x + 12 ← in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , thus

y = 3x + c ← is the partial equation

To find c substitute (2, 5) into the partial equation

5 = 6 + c ⇒ c = 5 - 6 = - 1

y = 3x - 1 ← equation of parallel line

Answer:

2 - bedroom apartment = 4

3 - bedroom apartment = 2

Step-by-step explanation:

Given the following :

2 - bedroom apartment = $700 / month

3 - bedroom apartment = $900 / month

Last month:

Number of vacant apartment = 6

Amount of Lost rent = $4600

Let a = 2 - bedroom apartment and b = 3 - bedroom apartment

Vacant apartment :

a + b = 6 - - - (1)

Lost rent :

700a + 900b = 4600 - - - (2)

From (1),, a = 6 - b

Substitute a = 6 - b into (2)

700(6 - b) + 900b = 4600

4200 - 700b + 900b = 4600

4200 + 200b = 4600

200b = 4600 - 4200

200b = 400

b = 400/200

b = 2

From (1) ;

a + b = 6

a + 2 = 6

a = 6 - 2

a = 4

a = 2 - bedroom apartment = 4

b = 3 - bedroom apartment = 2

Answer:

VX = 8.8 in

Step-by-step explanation:

By applying Sine rule in the right triangle WXV,

Sin(∠W) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

             = [tex]\frac{\text{VX}}{\text{WX}}[/tex]

Sin(34)° = [tex]\frac{VX}{15}[/tex]

VX = 15.Sin(34)°

     = 8.8379

     ≈ 8.8 in.

Therefore, measure of side VX is 8.8 in.

Answer:

[tex]x=0\\y=2[/tex]

Step-by-step explanation:

El método de reducción también llamado Suma y Resta, consiste en multiplicar una o ambas ecuaciones de tal manera que los coeficientes de una de las incógnitas sean iguales y de signo contrario, de tal forma que se eliminen al sumar las ecuaciones.

Nuestras ecuaciones son:

[tex]-x+3y=6\\x+y=2[/tex]

En este caso podemos observar que x y -x son iguales y de signo contrario así que no tendremos que multiplicar y podemos sumar ambas ecuaciones.

Al sumarlas tenemos que:

[tex]4y=8\\y=2[/tex]

Ahora sustituímos el valor que encontramos de y en la segunda ecuación para poder obtener el valor de x.

[tex]x+y=2\\x+2=2\\x=2-2\\x=0[/tex]

Por lo tanto, x = 0 y y = 2