the value of [tex]\sqrt{6}[/tex] is not -4 because ______.

The Value Of [tex]\sqrt{6}[/tex] Is Not -4 Because ______.

Answers

Answer 1

Answer:

D

Step-by-step explanation:

(-4^2) = 16 not -16

since,

you cant raise a number to an even power and get a negative value


Related Questions

Mark is looking at a blueprint of a skateboard that shows the ramp's length that is 11.4 inches. If the scale on the blueprint is 1 inch: 6 feet, find the actual length of the ramp.

(Someone answer Asap please.)

Answers

Applying the scale factor the actual dimension of the ramp in the blueprint Mark was looking at was found to be 0.158 inches

What is scale factor?

Scale factor represent the amount the image is increased or reduced in the map.

How to find the actual length of the ramp

information from the question include

the scale on the blueprint is 1 inch: 6 feet

the ramp's length that is 11.4 inches

finding the scale factor

1 inch ⇒ 6feet = 72 inches

the scale factor is 1/72

finding the actual dimension

1 inch ⇒  72 inches

? = 11.4 inches

cross multiplying gives

72 * ? = 1 * 11.4

? = 1/72 * 11.4

? = 0.158 inches

Learn more on scale factor

https://brainly.com/question/26855848

#SPJ1

Which is true add a short explanation why it is true thank you if u help

Answers

Answer:[tex]\sqrt{36} > 5 \\[/tex]

Step-by-step explanation:

because [tex]\sqrt{36} =6[/tex]

Therefore  6 > 5

What are the constraints to this problem?

A Virginia Beach farmer has 480 acres of land on which to grow either corn or soybeans.
He figures he has 800 hours of labor available during the crucial summer season. The farmer
can expect a profit of $40 per acre on corn and $30 per acre on soybeans. He knows that
corn requires 2 hours per acre to raise, and soybeans require 1 hour per acre to raise. How
many acres of each should he plant to maximize profit? What is his maximum profit?




Answers

He raise corn in [tex]320[/tex] acres and soybeans in [tex]160[/tex] acres to maximize profit and the maximum profit is [tex]\$18,200[/tex].

A Virginia Beach farmer has [tex]480[/tex] acres of land on which to grow either corn or soybeans.

He has labor available during the crucial summer [tex]=800[/tex] hours

The farmer can expect a profit of [tex]\$40[/tex] per acre on corn.

The farmer can expect a profit of [tex]\$30[/tex] per acre on soybeans.

The corn requires hours to raise [tex]=2[/tex] hours per acre.

The soybeans requires hours to raise [tex]=1[/tex] hours per acre.

We have to find how many acres of each should he plant to maximize profit and his maximum profit.

To solve the question we let he plant [tex]x[/tex] acres of corn and [tex]y[/tex] acres of soybeans.

Total land is available for grow either corn or soybeans is [tex]480[/tex] acre.

So the equation should be

[tex]x+y\leq 480\dots\dots Equation (1)[/tex]

He requires [tex]2[/tex] hours to raise corn per acre and [tex]1[/tex] hours to raise soybeans per acre and he has 800 hours of labor available during the crucial summer season.

So the equation should be

[tex]2x+y\leq 800\dots\dots Equation (2)[/tex]

He expect a profit of [tex]\$40[/tex] per acre on corn and [tex]\$30[/tex] per acre on soybeans.

So profit equation should be

[tex]P=40x+30y[/tex]

Now the subject of constraints

[tex]x+y\leq 480[/tex]

[tex]2x+y\leq 800[/tex]

[tex]x,y\geq 0[/tex]

Now solving the equation [tex]1[/tex] and [tex]2[/tex] to find the value of [tex]x[/tex] and [tex]y[/tex].

Multiplying the equation [tex]1[/tex] by [tex]2[/tex].

After multiplying with [tex]2[/tex] the equation [tex]1[/tex]

[tex]2x+2y\leq 960\dots\dotsEquation (3)[/tex]

Now subtracting Equation [tex](3)[/tex] and Equation [tex](2)[/tex].

[tex]2x+2y-(2x+y)\leq 960-800[/tex]

[tex]2x+2y-2x-y\leq 960-800[/tex]

[tex]y\leq 160[/tex]

Now putting the value of [tex]y[/tex] in Equation [tex](1)[/tex]

[tex]x+160\leq 480[/tex]

Subtract [tex]160[/tex] on both side

[tex]x+160-160\leq 480-160[/tex]

[tex]x\leq 320[/tex]

He raise corn in [tex]320[/tex] acres and soybeans in [tex]160[/tex] acres to maximize profit.

The maximum profit

[tex]P=40x+30y\\P=40\times320+30\times180\\P=12,800+5400\\P=18,200[/tex]

The maximum profit is [tex]\$18,200[/tex].

To learn more about constraints link is here

https://brainly.com/question/13643976

#SPJ1

The vertices of triangle SRQ have coordinates S (1, 1), R (3, 4), and Q (7, 0). If triangle SRQ is rotated about the origin 180°, what are the resulting coordinates of the point R?

Answers

Answer:

Step-by-step explanation:

its 3 4

R' (-3,-4) are the resulting coordinates of the purpose R.

A rotation may be a transformation in a plane that turns every point of a preimage through a specified angle and direction about a fixed point. The fixed point is named the center of rotation . The quantity of rotation is called the angle of rotation and it is measured in degrees. Use a protractor to live the specified angle counterclockwise.

Using the rule for a 180° rotation to seek out the vertices of the rotated triangle.

T: (x, y) (-x, -y)

Given points of triangle: S(1,1) , R (3, 4) and Q (7, 0).

Rotation 180° about the origin.

S (1, 1) → S' (-1,-1)

R (3,4) → R' (-3,-4)

Q (7,0) → Q' (-7,0)

Hence, the coordinate of the R is: R' (-3,-4).

To learn furthermore about Rotations Transformation at

https://brainly.com/question/28823844

 

#SPJ1

I’LL MARK BRAINLIEST!! Graph - 5x + 10y = 20

Answers

Answer:

Step-by-step explanation:

See screenshot
:]

lol I'm improve my rank so brainliest would help a lot :]

The first point, (0,2)
The second point, (2,3)

you were in the garden, there are 34 people in the yard. you kill 30. how many people are in the garden?

Answers

In linear equation, You are the only person in the garden at the time the 34 people.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

You are the only person in the garden at the time the 34 people are on their homicidal spree.

Alternatively, if the backyard and garden are in the same place, then there are no longer any individuals in the garden because you would officially count as one of the 34 people who are all killed.

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

carmen pulled transactions from the month of march to see if there is an association between coffee and breakfast sandwich purchases. after running through confidence and expected confidence calculations, she calculated the lift ratio at 1.52. what association does a calculated lift ratio of 1.52 reflect?

Answers

A lift ratio of 1.52 implies that identifying a person who purchases coffee and a breakfast sandwich is 52% better than guessing that a random person will purchase a breakfast sandwich.

What is the lift ratio about?

Stronger relationships are indicated by higher lift values.We divide the confidence ratio by the support of the consequent to arrive at the lift ratio.

Lift ratios greater than one are typically thought to imply a significant link between the components. Lift ratios below 1 indicate that a purchase of the items is unlikely. Lift is simply the ratio of target response divided by the average response.

Carmen analyzed data from the month of March to see if there was a link between coffee and breakfast sandwich purchases. She calculated the lift ratio to be 1.52 after running confidence and expected confidence calculations.

In this case, she wants to know the association between coffee and breakfast sandwich purchases. There's 52% better off than a random individual.

Learn more about ratio on:

https://brainly.com/question/2328454

#SPJ1

Consider this equation of a circle. x^2-2x+y^2+6y-4=0
The answer is bellow!!!

Answers

Answer:

A

Step-by-step explanation:

x² - 2x + y² + 6y - 4 = 0 ( add 4 to both sides )

x² - 2x + y² + 6y = 4

using the method of completing the square

add ( half the coefficient of the x / y terms )² to both sides

= x² + 2(- 1)x + 1 + y² + 2(3)y + 9 = 4 + 1 + 9

(x - 1)² + (y + 3)² = 14 ← in standard form

Question 5 of 10Which inequality represents all values of x for which theproduct below is defined?x-5.X+2A. X2-2B. X55O C. X25O D. X20SUBMIT

Answers

Answer:

[tex]x\ge-2[/tex]

Explanation: The product has two square-roots being multipled together, the inside of each of the root must be greater than or equal to zero, this in Mathematics can be written as follows:

[tex]\begin{gathered} \sqrt[]{x-5}\times\sqrt[]{x+2} \\ \end{gathered}[/tex]

Therefore, applying the condition leads us to the following conclusion:

[tex]\begin{gathered} \sqrt[]{x-5}\times\sqrt[]{x+2} \\ \therefore\rightarrow \\ x-5\ge0\rightarrow x\ge5 \\ x+2\ge0\rightarrow x\ge-2 \end{gathered}[/tex]

Therefore it follows that x must be:

[tex]x\ge-2[/tex]

Solve for x, y, and z

Answers

Using angle sum property we found that ∠ x = 113°, ∠y = 67°  and ∠z = 49°

What is angle sum property of a triangle?

The angle sum property of triangle states that the sum of all the interior angles of a triangle is 180°.

If ΔABC is a triangle then,

m ∠A + m ∠B + m ∠C = 180°

Given from the figure in the question that 28°, 39° and x° are interior angles of a triangle, then using angle sum property:

28° + 39° + x° = 180°

⇒ 67° + x° = 180°

⇒ x° = 180° - 67° = 113°

∠x and ∠y are on the same line same point therefore their sum will be 180°

⇒ x° + y° = 180°

⇒ 113° + y° = 180°

⇒ y° = 180° - 113° = 67°

Also an exterior angle of a triangle is equal to sum of interior opposite angles.

∴ y ° = 28° + 39° = 67°

Now, 64° , y° and z° are interior angles of same triangle from the figure in the question.

∴ Using angle sum property,

64° + y° + z° = 180°

⇒ y ° + z° = 180° - 64° = 116°

⇒ y° + z° = 116°

⇒ z° = 116° - y° = 116° - 67°  = 49°

Therefore ∠x, ∠y , ∠z are 113° , 67° and 49° respectively

Also, Learn more about triangles from the link below:

https://brainly.com/question/27682397

#SPJ1

If TU = 6 units, what must be true?SU + UT = RT
RT+ TU = RS
RS + SU = RU
TU + US = RS

Answers

The following must be true:

SU + UT = RT

What is meant by length of side?

By dividing the base's length by its height, one may calculate any quadrilateral's surface area. We can conclude that all of the sides are the same length because the shape is square. Using the square root of the area to determine the length of one side, we can then work backwards from this information. A square has four sides, thus to determine the length of one side, divide the perimeter by 4. Assumed Area: Since s2 is the formula for a square's area and that number corresponds to one of its sides, you must get the square root of the area. A side is the line segment that connects two vertices of a shape or two-dimensional figure according to the definition of geometry.

Length of SU

= RS - RT - TU

= 24 - 12 - 6

= 24 - 1

= 6

Thus, the length of the US is 6 units.

To know more about length ,visit:

https://brainly.com/question/8552546

#SPJ13

y = x + 3
y = x² - 2x + 3

Answers

Answer:

y=3 / y=6

x=0 / x=3

Step-by-step explanation:

Follow the steps given in the picture attached above.

I need the dercreasing intervel and my grade is at risk so pls be correct

Answers

Answer:  You are correct

The decreasing interval is (-3, infinity)

This is the same as writing [tex](-3, \infty)[/tex]

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

Explanation:

If a < b and f(a) > f(b), then the function is decreasing.

Visually this means that if the graph is going downhill when moving to the right, the function is decreasing.

The graph shown goes downhill throughout its entire domain of (-3, infinity)

You are completing a math assignment. The number of questions you complete and the time it takes you to complete them have a proportional relationship, as shown in the table.
Number of questions 4 and 7
Time (in minutes) 6 and ?
How much time does it take to complete 7 questions ?
Answer choices
3 min
5 min, 30 sec
9 min
10 min, 30 sec

Answers

Answer:

I think your answer is 10 minutes and 30 seconds. . .

Step-by-step explanation:

What I did was I took 6 and 7 and multiplied them together, then i divided 42 by 4, and got 10.5. which would give you 10 minutes and 30 seconds.

6*7=42/4=10.5 (aka 10min 30sec)

The wholesale price for a necklace is $10.the mark up percent is 200%.what is the mark up

Answers

The mark up is $30.

What is markup?

As stated, markup is the distinction between a product's selling price and its cost price. Retail minus Cost is markup. The term "markup" describes the discrepancy between a product's selling price and its actual cost. It is specified as a percentage over the price. In other words, the seller makes a profit when the price of the commodity or service is higher than the overall cost. A unit's gross profit, which is the sales price less the cost to create or buy it for resale, is divided by its cost to determine the markup %. The markup percentage is computed as (12 - 8) / 8 and is equal to 50% if an item costs the business $8 to produce but is sold for $12.

To know more about markup ,visit:

https://brainly.com/question/11999225

#SPJ13

How do you solve an equation like this?

Answers

Answer:

Step-by-step explanation:

[tex]\displaystyle\\(64x^\frac{2}{3})^{-\frac{1}{3}} =\\\\(4^3x^\frac{2}{3})^{-\frac{1}{3}}=\\\\ 4^{3*(-\frac{1}{3})}x^ {\frac{2}{3}*(-\frac{1}{3} )}=\\\\ 4^{-1}x^{-\frac{2}{9} }=\\\\\frac{1}{4} x^{-\frac{2}{9} }=\\\\\frac{1}{4} (\frac{1}{x^\frac{2}{9}} } )=\\\\\frac{1}{4\sqrt[9]{x^2} }[/tex]

Simplify: 18c - 49 + 1 -2c

Answers

Answer:

16c - 48

Step-by-step explanation:

combine like terms : 18c - 2c - 49 + 1

then you get              16c - 48

1616161bdvdvscscscsaxfayayacscacacaxwxwgwywgww

name the sets of number to which - 2/5 belongs

Answers

The sets of number to which - 2/5 belongs is a rational number.

What is a rational number?

If p and q are integers and q is not equal to 0, then the number is in the form of p/q and is said to be rational. Among the rational number examples are 1/3, 2/4, 1/5, 9/3, and so forth. A rational number is any number that can be expressed as a ratio (or fraction) of two integers.

P/Q is the format for rational numbers, where p and q are open-ended integers and q 0. Thus, natural numbers, whole numbers, integers, fractions of integers, and decimals are all examples of rational numbers.

Learn more about numbers on:

https://brainly.com/question/24644930

#SPJ1

Please someone help me please i need help with this question answer asap

Answers

Answer:

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

the perpendicular bisector of AB passes through the midpoint of AB at right angles.

find the midpoint using the midpoint formula

with A (- 2, 0 ) and B (0, 6 )

midpoint = ( [tex]\frac{-2+0}{2}[/tex] , [tex]\frac{0+6}{2}[/tex] ) = ( [tex]\frac{-2}{2}[/tex] , [tex]\frac{6}{2}[/tex] ) = (- 1, 3 )

find the gradient m of AB using the gradient formula

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

with (x₁, y₁ ) = A (- 2, 0 ) and (x₂, y₂ ) = B (0, 6 )

m = [tex]\frac{6-0}{0-(-2)}[/tex] = [tex]\frac{6}{0+2}[/tex] = [tex]\frac{6}{2}[/tex] = 3

given a line with gradient m then the gradient of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex]

the equation of a line in gradient- slope form is

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

here m = - [tex]\frac{1}{3}[/tex] , then

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

to find c substitute (- 1, 3 ) into the partial equation

3 = [tex]\frac{1}{3}[/tex] + c ⇒ c = 3 - [tex]\frac{1}{3}[/tex] = [tex]\frac{8}{3}[/tex]

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{8}{3}[/tex] ← equation of perpendicular bisector

which one?Please help its extra credit!

Answers

So he deposits a certain amount each week
So he deposited this amount 8 times and got 280 dollars
So clearly he deposits ($280/8) each week
Now he needs 420 dollars
Decide this by the amount deposited each week to get the no of weeks
420 / (280/8) => 12 weeks

Answer:

12 weeks

Step-by-step explanation:

if 280=420

then 8=×

cross multiply

280×=420×8

280×=3360

divide both sides with the co efficient of x

280×/280=3360/280

leaving the answer to be 12

The coordinates of the endpoints of QR are Q(6, 2) and R(18, 18). Point S is on QR and divides it such that QS:RS is 3:1. What are the coordinates of S? Write your answers as integers or decimals.​

Answers

Check the picture below.

[tex]\textit{internal division of a line segment using ratios} \\\\\\ Q(6,2)\qquad R(18,18)\qquad \qquad \stackrel{\textit{ratio from Q to R}}{3:1} \\\\\\ \cfrac{Q\underline{S}}{\underline{S} R} = \cfrac{3}{1}\implies \cfrac{Q}{R} = \cfrac{3}{1}\implies 1Q=3R\implies 1(6,2)=3(18,18)[/tex]

[tex](\stackrel{x}{6}~~,~~ \stackrel{y}{2})=(\stackrel{x}{54}~~,~~ \stackrel{y}{54}) \implies S=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{6 +54}}{3+1}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{2 +54}}{3+1} \right)} \\\\\\ S=\left( \cfrac{ 60 }{ 4 }~~,~~\cfrac{ 56}{ 4 } \right)\implies {\Large \begin{array}{llll} S=(15~~,~~14) \end{array}}[/tex]

seven more then a number is equal to 18. what is the number

Answers

Answer:11

Step-by-step explanation:

What is the value of x in this figure?
x = 22
x = 68
x = 90
I don't know.

Answers

X=68 explaination: it’s a right angle, which is 90 degrees, so you subtract 90-22 which gives you the remaining 68 degrees

A musicians hair was originally 3 inches long. She asked her hair dresser to cut 5/6 of it off. How many inches did she have cut off?

Answers

Answer: 2.5 inches

Step-by-step explanation: 3*5/6= 2.5

write an equation of a line that passes through the point (2,-2) and is parallel to the line 5x-2y=4

Answers

The equation of line is y= 5/2x -7.

What is equation of line?

The slope of the line and a point on the line may be used to create the equation of a line. To better comprehend how the equation for a line is formed. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. The coordinate system's point with the x coordinate and the y coordinate is referred to as the point.

One of the significant forms used to express a straight line algebraically is the two point form.

Written as, y- y1= m (x- x1), where m is slope.

Given:

a line passes through the point (2, -2) and parallel to 5x-2y = 4

Now, writing the given equation of line in the form of slope intercept form

5x- 2y=4

2y = 5x -4

y= 5/2x -2

Here the slope is 5/2 and the required line will also have the same slope as parallel line.

then, m=5/2

Now using y=mx +c

put y=-2 and x=2

-2 = 5/2(2) + c

-2 -5 = c

c=-7

Hence, the equation of line is y= 5/2x -7.

Learn more about equation of line here:

https://brainly.com/question/21511618

#SPJ1

A box is to be made by cutting a square measuring 4 centimeters on a side from a square piece of cardboard. If the volume of the box is to be 100 cubic centimeters, find the length of a side of the original square. Round the answer to the nearest tenth of a centimeter.

Answers

Given the volume of the box is 100 cm^3

And to made the box we need to cut a square measuring 4 centimeters on a side from a square piece of cardboard.

so, the height of the box = 4 cm

so, the volume = height * area of the base

100 = 4 * area of the base

Area of the base = 100/4 = 25 cm^2

so, the side length of the base of the box =

[tex]\sqrt[]{25}=5[/tex]

so, the lenght of the a side of the original square = 5 + 2*4 = 5 + 8 = 13 cm

Alan sees this offer.
Refurbished phone
45% OFF
Now only £88
How much was the phone before the discounted price?

Answers

The cost of the phone  before the discounted price is $160.

Given that, Refurbished phone 45% OFF now only £88.

What is the discount?

Discount is the reduction in the price of goods or services offered by shopkeepers at the marked price. The List price or Marked price is the price of an article as declared by the seller or the manufacturer, without any reduction in price. Selling price is the actual price at which an article is sold after any reduction or discounts in the list price.

Let the original price of the phone be x.

Now, x - 45% of x = 88

⇒ x - 45/100 × x = 88

⇒ x - 0.45x = 88

⇒ 0.55x = 88

⇒ x = 88/0.55

⇒ x = 160

Therefore, the cost of the phone  before the discounted price is $160.

To learn more about the discount visit:

https://brainly.com/question/13501493.

#SPJ1

While birdwatching, Natalie saw 8 robins. If 40% of the birds she saw were robins, how many birds did Natalie see in all?​

Answers

40% of 8 is 3.2

hope this helped

can someone helpp me with this i will give brainlest :)

Answers

Answer:

Step-by-step explanation:

1slice=280 and 6 slices so 280x6 so 0x6=0 then 80x6=6+6x4=48x10=480
then 200x6= 6x2=12x100=1200

add all 0+480+1200=1680

sry i'm not used to showing work i usually do it all in my head

You overhear your friend explaining how to find intercepts to a
classmate. Your friend says, "When you want to find the x-intercept, just substitute 0 for x
and continue to solve the equation."
Is your friend's explanation correct?

Answers

The friend's explanation is not correct.

They are mixing up x and y intercepts.

To find the y intercept, plug in x = 0 to find y.

To find the x intercept, plug in y = 0 and solve for x.

Other Questions
Write the inequality shown by the shaded region in the graph with the boundary line y = -3x +5 2. A membership to the theme park is $48 per year. Marcos cancelled his membership early and is only required to pay for 0.25 of a year. How much will he need to pay? If [H+] = 1.0 x 10-11 M, what is the pH of the solution? The mass of two bodies are attracted with a force of 745N.if their distance of separation is 70.3m, find the mass of one the bodies, if the mass of the other is 2050kg (G=6.7by 10^-11Nm^2kg^2 To which part of the centromere do mitotic spindle fibers attach during prometaphase?. Solve for y 10x -5y=30 Jane welcomes new ideas and change. Janes supervisor tends to resist any kind of change. Jane and her supervisor differ in their level of which personality trait described in the big five personality framework?. A (2,-4), B (3, 3) and C (-1,5) are the vertices of ABC . Find the equation of the altitude of the triangle through C. Sara hiked up a mountain on a steep 3-mile trail. Then she hiked downhill on a lesssteep 5-mile trail. She hiked 0.5 mph faster downhill than uphill.If Sara hiked uphill at a rate of r mph, how fast was she hiking downhill? Jolie is redesigning a water bottle to fit better in her cup holder. The diameter will have to be no larger 2.5 in. The water bottle is straight up and down. What would the height of the bottle be if she wants it to have a 99.34 in3 volume. (Round to nearest whole number) 13. Who is referred to as the grand old man of dentistry?a. Chapin Harrisb. Horace Wellsc. G. V. Blackd. Edmund Kells Your sister fell and landed on her right arm. She complains of right arm pain and an inability to move her elbow. An x-ray reveals that the elbow has been dislocated. What bones and bone structures, specifically, have dislocated from each other in this injury? The trochlea of the (pick one {trochlea, sternum, radius, humerus, carpals, ulna, clavicle, rib}) has been dislocated from the trochlear notch of the (pick one {trochlea, sternum, radius, humerus, carpals, ulna, clavicle, rib}).Can you please provide me with an explanation of this ASAP At four hundred miles they stopped to eat, at a thousand miles they pitched their camp. They had traveled for just three days and nights, a six weeks' journey for ordinary men. When the sun was setting, they dug a well, they filled their waterskins with fresh water, Gilgamesh climbed to the mountaintop Gilgamesh: A New English Translation, Stephen Mitchell Which of the following people developed a model of the human psyche and how it works thats known as psychoanalysis?FreudSkinnerKoffaSocrates machines are good at low-skill, repetitive jobs, and at high-speed, extremely precise jobs. in both cases they work better than humans. this efficiency leads to a more prosperous and progressive world for everyone. this year luke has calculated his gross tax liability at $1,800. luke is entitled to a $2,400 nonrefundable personal tax credit, a $1,500 business tax credit, and a $600 refundable personal tax credit. in addition, luke has had $2,300 of income taxes withheld from his salary. what is luke' The soldiers walked through the rain as they approached the canyon. Theyd been traveling for days to reach the dragons lair. Finally they arrived. Then the dragon approached, and it roared. Yet, the soldiers faced off with the dragon, despite the noise. Which is the best critique explaining why Henrique should revise the paraphrase? Henrique needs to change the sequence of events to be in a logical order. Henrique needs to add some descriptive language to make the story come alive. Henrique needs to add some dialogue to make the point of view consistent. Henrique needs to change the point of view to make the sequence clearer. The sum of three numbers is 23. The third number one more than the sum of the first and second numbers. The first number is ten less than the third number. Find the numbers. In the distribution shown, state the mean and the standard deviation. Hint: The vertical lines are 1 standard deviation apart. (Solve the problem down below & simplify the answer. Round to the nearest hundredth as needed.)