15 is 9 more than 5 j =

Answers

Answer 1

Answer:

15 = 9 + 5j

Step-by-step explanation:

When you want to make words become an equation, the word is usually means = and more usually means +.

In this case, we have 15 is 9 more than 5j.

We can rewrite this as 15 = 9 + 5j.


Related Questions

Whats 1+2+3+4+5 add them together pls

Answers

Answer:

15

*ignore this answers have to be a minimum of 20 characters.

Answer:

15

Step-by-step explanation:

1+2=3

3+3=6

6+4=10

10+5=15.

uber has faced a host of ethics and financial challenges ever since it started in 2011. which of mintzberg's roles is most closely related to uber's senior leadership's responsibility to fix problems the company is facing?

Answers

Answer: C. disturbance handler

Step-by-step explanation:

According to Henry Mintzberg, a manager has 10 roles which can be organized into three categories being; Decisional, Interpersonal and Informational roles.

The relevant role is that of a Disturbance handler and it falls under Decisional roles.

As the Disturbance handler, a manager should take the responsibility of resolving any problems that the company runs into that is under their authority to manage. They are to mediate in the issue to resolve the problem so that it does not disrupt the operations of the business.

The senior managers of Uber should take charge and guide Uber through the financial and ethical issues they are facing as this is their responsibility as disturbance handlers.

Deandre buys candy that costs $6 per pound. He will spend at least $42 on candy. What are the possible numbers of pounds he will buy? Use p for the number of pounds Deandre will buy.

Answers

7p should be the correct answer because when you divide 6 and 42 you get 7

Determine whether the following lines represented by the vector equations below intersect, are parallel, are skew, or are identical.

r(t)=⟨1−t,3+2t,−3t⟩
s(t)=⟨2t,−3−4t,3+6t⟩

Answers

Answer:

r(t) and s(t) are parallel.

Step-by-step explanation:

Given that :

the  lines represented by the vector equations are:

r(t)=⟨1−t,3+2t,−3t⟩

s(t)=⟨2t,−3−4t,3+6t⟩

The objective is to determine if the following lines represented by the vector equations below intersect, are parallel, are skew, or are identical.

NOTE:

Two lines will be parallel if [tex]\dfrac{x_1}{x_2}= \dfrac{y_1}{y_2}= \dfrac{z_1}{z_2}[/tex]

here;

[tex]d_1 = (-1, \ 2, \ -3)[/tex]

Thus;

[tex]r(t) = \dfrac{x-1}{-1} = \dfrac{y-3}{2}=\dfrac{z-0}{-3} = t[/tex]

[tex]d_2 =(2, \ -4, \ +6)[/tex]

[tex]s(t) = \dfrac{x-0}{2} = \dfrac{y+5}{-4}=\dfrac{z-3}{6} = t[/tex]

[tex]\dfrac{d_1}{d_2}= \dfrac{-1}{2} = \dfrac{2}{-4}= \dfrac{-3}{-6}[/tex]

Hence, we can conclude that r(t) and s(t) are parallel.

Simplify these expressions:
1) 8y + 5 - 10y - 2

Answers

Answer:

here I think

Step-by-step explanation:

8y + 5 - 10y - 2 = (8y-10y)+(5-2)=-2y+3

Shota is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 303030 meters below the edge of a volcano, he heard some rumbling, so he decided to climb up out of there as quickly as he could. He climbed up at a constant rate. After 4.54.54, point, 5 seconds, he was 7.57.57, point, 5 meters below the edge of the volcano How fast did Shota climb? In total, how long did it take Shota to reach the edge of the volcano?

Answers

Answer:

Speed = 5m/s

Total time taken = 6 seconds

Step-by-step explanation:

Shota's initial position = 30 metres below the edge of a volcano

If Shota climbed at a constant rate:

Shota's position after 4.5 seconds = 7.5meters below the edge of the volcano

Shota's climbing speed :

Distance covered / time taken

Distance covered = (30 - 7.5) = 22.5 meters

Hence, speed = (22.5 / 4.5) = 5m/s

Time taken to reach edge of volcano:

Time left to reach edge = (distance left to cover / speed)

Time left to reach edge = (7.5 / 5) = 1.5 seconds

Total time taken: (4.5 + 1.5) = 6 seconds

Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. 37 x2 − 6x

Answers

Answer:

[tex]\dfrac{A}{x}+\dfrac{B}{x-6}[/tex]

Step-by-step explanation:

Given the function [tex]\dfrac{37}{x(x-6)}[/tex], to write the form of its partial fraction on decomposition, we will separate the two functions separated by an addition sign. The numerator of each function will be constants A and b and the denominator will be the individual factors of each function at the denominator. The partial fraction of the rational function is as shown below.

[tex]= \dfrac{37}{x(x-6)}\\\\= \dfrac{A}{x}+\dfrac{B}{x-6}[/tex]

Since we are not to solve for the constants, hence the partial fraction is [tex]\dfrac{A}{x}+\dfrac{B}{x-6}[/tex]

if [tex]\frac{10}{x} +\frac{2}{x} =12[/tex], what is x?

Answers

Hi

I guess that the most obvious answer is

x = 1

Answer:

x = 1

Step-by-step explanation:

10/x + 2/x = 12

x(10/x + 2/x) = 12*x

10x/x + 2x/x = 12x

10 + 2 = 12x

12 = 12x

x = 12/12

x = 1

Verify:

10/1 + 2/1 = 12

10 + 2 = 12

At a concert, floor tickets are $20 each, and
balcony seats are $10 each. 324 floor tickets were
sold & the box office collected $10,000. How many
balcony tickets were sold?

Answers

Answer: 352 tickets

Step-by-step explanation:

because multiplying $20 floor tickets by 324 (how many were sold) gives you 6480

subtract from 10000

gives you 3520 (amount made from balcony)

divide by $10

Step-by-step explanation:

Let No. of balcony ticket sold be x

Rate of floor ticket = $20

Rate of balcony ticket = $10

Total Box Office collection :

324 * 20 + 10 * x = $ 10,000

X = 352 tickets

Write 34/9 as a decimal

Answers

Answer:

3.777...

Step-by-step explanation:

You would divide the 2 and once you get the remainder put a decimal after the divisor and keep bringing down 0 until you can divide anymore 3.777...

A man drove 16 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?

Answers

Use the Pythagorean theorem.

Distance = sqrt(16^2 + 5^2)

Distance = sqrt(256 + 25)

Distance = sqrt(281)

Distance = 16.763

Rounded to the nearest tenth = 16.8 miles

4x+12 is greater than or equal to 4x-4

Answers

Answer:

20/:&&:/$/686th

Step-by-step explanation:

ggbnk

Find the anhle measure x in the figure​

Answers

Answer:

x=25°

Step-by-step explanation:

Sum of angles of a triangle equals 180°

x + 10° + 2x + 15° + 3x + 5° = 180°6x + 30° = 180°6x = 180° - 30°6x = 150°x = 150°/6x = 25°

A test of a hybrid car resulted in 4,840 miles driven using
88 gallons of gas. At this rate, how many gallons of gas will this vehicle
need to travel 1,155 miles?

Answers

Answer:

Hey there!

We can write the proportion:

[tex]88/4840 = x/1155[/tex]

101640=4840x

x=21

The car would need 21 gallons of gas to travel 1155 miles.

Let me know if this helps :)

Answer:

21 gallons

Step-by-step explanation:

4,840 miles = 88 gallons

=> 1155 miles = x gallons

=> Cross-multiply

=> 4840 * x = 1155 * 88

=> 4840x = 101640

=> 4840x/4840 = 101640/4840

=> x = 21

The car can travel 1,155 miles using 21 gallons.

One airplane is located 200 km north and 50 km east of an airport. A second plane at the same altitude is located 30 km north and 100 km north and 100 km west.
The distance between the planes is closest to:
A. 150 km
B. 200 km
C. 300 km
D. 350 km
E. 400 km

Answers

Answer: B

Step-by-step explanation:

We can define the North as our positive y-axis, and the East as the positive x-axis.

The position of the airport is the (0, 0)

Then the position of the first plane is: (200 km north and 50 km east)

(50km, 200km)

The position of the other plane is: (30 km north and 100 km west)

(-100km, 30km)

Now, if we have two points (a, b) and (c, d)

The distance between those points is:

D = √( (a - c)^2 + (b - d)^2)

Then the distance between the planes is:

D = √( (50km - (-100km))^2 + (200km - 30km)^2)

D = √( (150km)^2 + (170km)^2)

D = 226.7km

Then the distance is closest to 200km, the correct option is B.

On a coordinate plane, we have:

North represents the positive y-axisSouth represents the negative y-axisEast represents the positive x-axisWest represents the negative x-axis

The closest distance between the planes is 200km

The positions of the two planes is given as:

[tex]A = (50,200)[/tex] --- 50km east and 200km north

[tex]B = (-100,30)[/tex] --- 100km west and 30km north

The distance between the planes is calculated using the following distance formula:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]d = \sqrt{(50--100)^2 + (200-30)^2}[/tex]

[tex]d = \sqrt{150^2 + 170^2}[/tex]

[tex]d = \sqrt{51400}[/tex]

[tex]d = 226.72km[/tex]

From the list of given options, 200km is the closest to 226.72km

Hence, the closest distance between the planes is 200km

See attachment for the positions of both planes

Read more about distance at:

https://brainly.com/question/16310813

If f ' is continuous, f(5) = 0, and f '(5) = 7, evaluate
lim x→0
f(5 + 5x) + f(5 + 6x)
x

Answers

Correct question is;

If f ' is continuous, f(5) = 0, and f '(5) = 7, evaluate;

lim x→0 [f(5 + 5x) + f(5 + 6x)]/x

Answer:

The limit is 77

Step-by-step explanation:

Since we want to evaluate;

lim x→0 [f(5 + 5x) + f(5 + 6x)]/x

Thus, let's plug in 0 for x to get;

lim x→0 [f(5 + 5x) + f(5 + 6x)]/x = [f(5) + f(5)]/0

Since we are told that f(5) = 0, thus we now have;

[f(5) + f(5)]/0 = 0/0

Since, we have a limit of both numerator and denominator as 0,thus let's apply L'Hospital's Rule which states that: if we have an indeterminate form of 0/0 or ∞/∞, we will differentiate the numerator and differentiate the denominator and then take the limit.

Thus, applying L'Hospital's rule and using chain rule in differentiating, we have;

lim x→0 [5f'(5 + 5x) + 6f'(5 + 6x)]/1 = 5f'(5) + 6f'(5) = 11f'(5)

We are given f'(5) = 7

Thus,we now have;

11 × 7 = 77

An indeterminate form is an expression involving two functions whose limit cannot be determined solely from the limits of the individual functions.

After evaluation, [tex]\lim_{x \to 0} \frac{f(5+5x)+f(5+6x)}{x} =77[/tex]

Here, given that, f(5) = 0, and f '(5) = 7

We have to find,

         [tex]\lim_{x \to 0} \frac{f(5+5x)+f(5+6x)}{x}[/tex]

When substituting the limit x=0. We get 0/0 form which is indeterminate form.

So, Here we use L'Hospital's rule, because direct substitution of a limit yields an indeterminate form.

        [tex]\lim_{x \to 0} \frac{5*f'(5+5x)+6*f'(5+6x)}{1} =\frac{5f'(5)+6f'(5)}{1}[/tex]

Substituting the value of f '(5) = 7 in above equation.

            [tex]=\frac{5f'(5)+6f'(5)}{1}=\frac{(5*7)+(6*7)}{1}[/tex]

             = [tex]35+42=77[/tex]

Thus, [tex]\lim_{x \to 0} \frac{f(5+5x)+f(5+6x)}{x} =77[/tex]

Learn more:

https://brainly.com/question/15498027

Mr. Walker asked his students to use the associative property to find an expression that is equivalent to (13 + 15 + 20) + (20 + 47 + 18). The expressions that four students created are shown in the table below. Expressions Generated by Students Student Expression Jeremy (20 + 13 + 15) + (20 + 47 + 18) Layla (20 + 47 + 18) + (13 + 15 + 20) Keith (13 + 20) + (20 + 47 + 18) + 15 Melinda (13 + 15 + 20 + 20) + (47 + 18) How many of the students correctly applied only the associative property to rewrite the expression? one two three four

Answers

Answer:

The correct option is four.

Step-by-step explanation:

The associative property implies that the values are added however we want, i.e. the numbers can be grouped in any way and the answer would still be the same.

The associative property of addition is:

[tex](a+b)+c=a+(b+c)[/tex]

The expression provided is:

(13 + 15 + 20) + (20 + 47 + 18)

The answer provided by four students are:

Jeremy : (20 + 13 + 15) + (20 + 47 + 18)

Layla : (20 + 47 + 18) + (13 + 15 + 20)

Keith : (13 + 20) + (20 + 47 + 18) + 15

Melinda : (13 + 15 + 20 + 20) + (47 + 18)

So, all the four students correctly applied only the associative property to rewrite the expression.

The correct option is four.

Answer: The answer is A or one lol

Step-by-step explanation:

A musical instrument company reduced the time it takes for a worker to build a guitar. Before the reduction it took 5 hours. Now in 7 hours they can build 3 guitars. By how much did they reduce the time it takes to build each guitar?

Answers

Answer:

2 2/3 hours

Step-by-step explanation:

Before it was 5 hours for 1 guitar, or 5 hours/guitar

Now it is 7 guitars in 3 hours or 7/3 hours/guitar

7/3 = 2 1/3

5 hours - 2 1/3 hours = 15/3 hours - 7/3 hours = 8/3 hours = 2 2/3 hours

The reduced the time it takes to build 1 guitar by 2 2/3 hours.

The sprocket on the crankshaft of an engine power the camshaft by a chain assembly. If the engine crankshaft is turning 3250 revolutions per minute and the sprocket has a radius of 1.5 inches, to the nearest inch how many inches of chain travel past the sprocket in one minute? To the nearest foot how many feet of chain travel past the sprocket in one minute?

Answers

Answer:

30,631 inches2553 feet

Step-by-step explanation:

The length of one revolution of the sprocket is ...

  C = 2πr = 2π(1.5 in) = 3π in

Then the length of 3250 revolutions is ...

  3250(3π in) = 30,630.53 in

About 30,631 inches of chain travel past the sprocket in one minute.

__

There are 12 inches in a foot, so the number of feet is ...

  30,630.53 in/(12 in/ft) = 2552.54 ft

About 2553 feet of chain travel past in one minute.

If (x - 3) 2 = 5, then

Answers

Answer:

Step-by-step explanation:

2(x-3) = 5

Distribute.

2x - 6 = 5

Eliminate the 6.

2x = 11

Divide by 2.

x = 11/2

Answer:

[tex]\frac{11}{2}[/tex]

Step-by-step explanation:

We can use distributive property to simplify the equation, [tex]2x-6=5[/tex]. Now, we can move -6 to the right hand side. [tex]2x=11[/tex]. Finally, we can divide 2, [tex]x=\frac{11}{2}[/tex] or [tex]x = 5\frac{1}{2}[/tex]

A weather forecasting website indicated that there was a 60​% chance of rain in a certain region. Based on that​ report, which of the following is the most reasonable​ interpretation? Choose the correct answer below.
A. 60​% of the region will get rain today.
B. In the​ region, it will rain for 60​% of the day.
C. There is a 0.60 probability that it will rain somewhere in the region at some point during the day.
D. None of the above interpretations are reasonable.

Answers

Answer:

C. There is a 0.60 probability that it will rain somewhere in the region at some point during the day.

Step-by-step explanation:

The probability that it will rain is given by =p= 60% = 0.6

60​% chance of rain in a certain region means that the probability of rain in the given region is 0.6 at any time of the day in any part of the region.

So Choice C is the best option.

Choice A is wrong because 60% of the region does not mean 60% of the rain.

Choice B is also wrong because 60​% of the day  does not mean 60% of the rain.

The weather report tells about the rain , not the region or part of the day. So choice C is the best option

What is the value of the expression

Answers

Hi there! Hopefully this helps!

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

The answer: [tex]\frac{7}{9}[/tex].~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]\sqrt[]{2}[/tex] × [tex]\frac{8\sqrt{2} }{3}[/tex] ÷ 3 - 1

First, we express [tex]\sqrt{2}[/tex] × [tex](\frac{8\sqrt{2}}{3})[/tex] ≈ 5.333333333 as a single fraction.

[tex]\frac{\sqrt{2 \times 8\sqrt{2} } }{\frac{3}{3} } - 1[/tex]  ≈ 0.777777778

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Now we express [tex]\frac{\sqrt{2 \times 8\sqrt{2} } }{\frac{3}{3} }[/tex] ≈ 1.777777778 as a single fraction.

[tex]\frac{\sqrt{2 \times 8\sqrt{2} } }{3 \times 3} - 1[/tex]  ≈ 0.777777778

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Multiply [tex]\sqrt{2}[/tex] ≈ 1.414213562 and [tex]\sqrt{2}[/tex] ≈ 1.414213562 to get 2.

[tex]\frac{2 \times 8}{3 \times 3} - 1[/tex] ≈ 0.777777778

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Multiply 2 and 8 to get 16.

[tex]\frac{16}{3 \times 3} - 1[/tex] ≈ 0.777777778

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Multiply 3 and 3 to get 9.

[tex]\frac{16}{9} - 1[/tex] ≈ 0.777777778

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Convert 1 to fraction [tex]\frac{9}{9} = 1.[/tex]

[tex]\frac{16}{9} - \frac{9}{9}[/tex] ≈ 0.777777778

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Since [tex]\frac{16}{9}[/tex] ≈ 1.777777778 and [tex]\frac{9}{9} = 1[/tex] have the same denominator, subtract them by subtracting their numerators.

[tex]\frac{16 - 9}{9}[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Then you get................

[tex]\frac{7}{9}[/tex]

Consider the partial construction of a line parallel to line r through point Q. What would be the final step in the construction? Question 1 options: Draw a line through T and S Draw a line through W and S Draw a line through P and S Draw a line through Q and S

Answers

Answer:

Draw a line through Q and S

Step-by-step explanation:

I took the quiz. I hope this helps :)

what is the length of the hypotenuse triangle if both sides are 36

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{36 \sqrt{2} \: \: units}}}}}[/tex]

Step-by-step explanation:

Given,

Perpendicular ( P ) = 36

Base ( b ) = 36

Hypotenuse ( h ) = ?

Finding the hypotenuse :

Using the Pythagoras theorem :

[tex] \sf{ {h}^{2} = {p}^{2} + {b}^{2} }[/tex]

plug the values

⇒[tex] \sf{ {h}^{2} = {36}^{2} + {36}^{2} }[/tex]

Evaluate the power

⇒[tex] \sf{ {h}^{2} = 1296 + 1296}[/tex]

Add the numbers

⇒[tex] \sf{ {h}^{2} = 2592}[/tex]

Squaring on both sides

⇒[tex] \sf{h = 36 \sqrt{2} }[/tex] units

Hope I helped!

Best regards!!

5 less than a number is equivalent to 1 more than three times the number. what is the number

Answers

Answer:

X = -3

Step-by-step explanation:

x - 5 = 3x + 1

-6 = 2x

x = -3

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

;)

The equation formed by the information, 5 less than a number is equivalent to 1 more than three times the number is x - 5 = 3x + 1. And the number is x = -3.

What are linear equations in one variable?

The simplest equation used to express and solve for an unknown quantity is a linear equation in one variable. It's simple to depict graphically since it's always a straight line. A linear equation is a simple technique to convey a mathematical proposition. Unknown quantities can be represented by any variable or symbol, however, in most cases, the unknown quantity in a linear equation in one variable is represented by the variable 'x'.  A collection of basic strategies are used to solve a linear equation. To determine the final value of the unknown quantity, the variables are isolated on one side of the equation and the constants are isolated on the other side of the equation.

How do we solve the given question?

We are given that 5 less than a number is equivalent to 1 more than three times the number. We are asked to determine the number.

To determine the number, we will let the unknown number be x.

We will now try to make the two equal expressions, equate them to get a linear equation in one variable, and then solve the equation to find x.

First expression: 5 less than the number, that is, x - 5

Second expression: 1 more than three times the number, that is, 3x + 1.

Both the expressions are equal, so we equate them to get our equation:

x - 5 = 3x + 1

To solve for x, we do the following steps.

1. Subtract 3x from both sides of the equation:

x - 5 - 3x = 3x + 1 - 3x

or, -2x -5 = 1 (Simplifying)

2. Add 5 to both sides of the equation:

-2x - 5 + 5 = 1 + 5

or, -2x = 6 (Simplifying)

3. Divide both sides of the equation by (-2):

-2x/(-2) = 6/(-2)

or, x = -3 (Simplifying).

∴ The equation formed by the information, 5 less than a number is equivalent to 1 more than three times the number is x - 5 = 3x + 1. And the number is x = -3.

Learn more about linear equations in one variable at

https://brainly.com/question/24145091

#SPJ2

can someone please help me

Answers

Answer:

Mark answer C and D as correct

Step-by-step explanation:

Recall that a bisector cuts the side in two equal segments, then KH has to be half of 136 that is KH = 68

Also KHZ and HLZ are right angle triangles that share the same hypotenuse, so they are congruent triangles, which means that HL must equal KH  and therefore the full side HJ must be 68 times 2 = 136

Solve for the indicated variable 3x - y = 10; y

Answers

Answer:

y = 3x - 10

Step-by-step explanation:

Starting with 3x - y = 10, add y to both sides:

3x = 10 + y

Then subtract 10 from both sides:

3x - 10 = y

If you switch the sides of the equation, it can also be written as:

y = 3x - 10

Find the equation of the sphere if one of its diameters has endpoints (-8, -3, -10) and (-6, 1, -4) which has been normalized so that the coefficient of x2 is 1.

Answers

Answer:

The  equation is  [tex]x^2 + y^2 +z^2 + 14 x + 3y \ + 14z + 86.25=0[/tex]

Step-by-step explanation:

From the question we are told that  

    The  diameter endpoints is   (-8, -3, -10) and (-6, 1, -4)

Generally the equation of a sphere with center coordinates (a, b , c ) and  radius  r   is mathematically represented as

           [tex](x - a )^2 + (y -b )^2 + (z -c)^2 = r^2[/tex]

Now since we are given the endpoints of the diameter then we can obtain the center coordinates as follows

         [tex](a, b , c) = [ \frac{ -8 +(-6)}{2} , \frac{-3 + (1)}{ 2} , \frac{ -10 + (-4)}{2} ][/tex]

         [tex](a, b , c) = [ -7 , -1.5 , -7 ][/tex]

Now the length of the diameter is evaluated as

    [tex]|d| = \sqrt{ (-8 - (-6 ))^2 + ( -3 - (1) )^2 + ( -10 - (-4))^2 }[/tex]

   [tex]|d| = \sqrt{56 }[/tex]

   [tex]|d| = \sqrt{4 * 14 }[/tex]

   [tex]|d| = 2 \sqrt{ 14 }[/tex]

Now the radius is mathematically represented as

    [tex]r = \frac{|d|}{2}[/tex]

    [tex]r = \frac{ 2 \sqrt{14} }{2}[/tex]

    [tex]r = \sqrt{14}[/tex]

So

   [tex](x - -7 )^2 + (y --1.5 )^2 + (z --7)^2 = ( \sqrt{14} )^2[/tex]

   [tex](x +7 )^2 + (y +1.5 )^2 + (z +7)^2 = 14[/tex]

    [tex]x^2 + 14 x + 49 + y^2 + 3y + 2.25 +z^2 14z + 49 = 14[/tex]

    [tex]x^2 + y^2 +z^2 + 14 x + 3y \ + 14z + 86.25=0[/tex]

What type of solution set will this have?

Answers

Answer:

A) No solution

Step-by-step explanation:

The absolute value of a quantity is either zero or positive. It cannot be negative.

For the absolute value of a quantity to be less than or equal to -1, it means the absolute value of the quantity is negative. This cannot be, so there is no solution.

Answer: A) No solution

Answer:

no solutions

Step-by-step explanation:

An absolute value is non negative

The smallest value of an absolute value is 0

0 ≤ -1

This is never true so there is no solution

Ms. Ironperson and Mr. Thoro are making Avenger posters to give children when they visit Avenger Academy. Ms. Ironperson has completed 12 posters and will complete 6 more per day. Mr. Thoro has not started yet but can make 12 per day. At some point Mr. Thoro will catch up and both will have finished the same number of posters. When this does happen, how many posters will each Avenger have completed? If x denotes the number of days and y denotes the number of posters, what are the equations needed to solve this problem?

Answers

Answer:

The equations needed to solve this problem are:

y = 12 + 6x

y = 12x

The number of posters completed by each Avenger will be 24.

Step-by-step explanation:

The information provided are:

Ms. Ironperson has completed 12 posters and will complete 6 more per day.Mr. Thoro has not started yet but can make 12 per day. The variable x denotes the number of days and y denotes the number of posters.

So, after x day the number of poster completed by Ms. Ironperson will be:

y = 12 + 6x

And after x day the number of poster completed by Mr. Thoro will be:

y = 12x

Thus, the equations needed to solve this problem are:

y = 12 + 6x

y = 12x

Compute the value of x as follows:

12x = 12 + 6x

6x = 12

x = 2

The number of posters completed by each Avenger is:

y = 12x = 12 × 2 = 24

Thus, the number of posters completed by each Avenger will be 24.

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