Could someone explain why (-4)² is equal to 16 but -4² is equal to -16​

Answers

Answer 1

Answer:

It's all about the brackets.

Step-by-step explanation:

If we do (-4)^2, the brackets make it -4 x -4 and the two negatives make a positive of 16.

If we do -4^2, that means that the 4 is squared before putting the minus sign there so you have 4x4 = 16 then put the minus to get -16.

Hope this helps!

treviglaslibrary

Answer 2

Answer:

4^2= 16

Step-by-step explanation:

This is because when you square something your are multiplying that number by itself. So in this case you must multiply 4 x 4 which is sixteen. Another example of this is 3^2 which is 9. In this case you must multiply 3 x 3 which is nine.


Related Questions

Find the next three terms of the arithmetic sequence 5, 9, 13, 17, … .

Question 9 options:

a)

21, 23, 25


b)

41, 45, 49


c)

21, 41, 61


d)

21, 25, 29

Answers

Hi there!

The answer is D. 21, 25, 29

The arithmetic sequence has a pattern of +4. From 17 you add 4, resulting to 21 and you continue.


Hope this helps !

The next three terms of the arithmetic sequence 5, 9, 13, 17 is 21, 25, 29.

Given that,

The given arithmetic sequence is 5, 9, 13, 17.We need to find the next three terms.

Based on the above information, we can see that

There is the addition of 4 in each next number i.e.

5 + 4  = 9

9 + 4 = 13

13 + 4 = 17

17 + 4 = 21

21 + 4 = 25

25 + 4 = 29

Therefore, the option d is correct

Hence, the other options are incorrect.

Therefore we can conclude that the next three terms of the arithmetic sequence 5, 9, 13, 17 is 21, 25, 29.

Learn more: brainly.com/question/14069515

Find two consecutive whole numbers that 82 lies between.

Answers

Answer: The question as written is incomplete, but square root of 82 is between the whole numbers 9 and 10, whose squares are 81 and 100 respectively. (Vote me brainliest please)

Which correctly describes a cross section of the cube below? Check all that apply.

A cross section parallel to the base is a square measuring 4 cm by 4 cm.
A cross section parallel to the base is a rectangle measuring 4 cm by greater than 4 cm.
A cross section perpendicular to the base through the midpoints of opposite sides is a rectangle measuring 2 cm by 4 cm.

Answers

Answer:

check the first one only

Step-by-step explanation:

in a cube, no matter which side it is, there will never be a rectangle, it will all be squares

not exactly good at drawing but I drew out what the description looks like and hope you can somehow understand it better!

The relationship between the number of pounds (lb) of peppers and the
total cost in dollars is shown in the graph. What is the unit price of
peppers?

(Brainly this isn't a quiz for me so don't at me) ​

Answers

Answer:   3 dollars per pound

Explanation:

The unit price is the price of 1 unit, in this case one pound. So we locate x = 1 on the x axis, draw a vertical line upward til we get to the diagonal line, and then draw a horizontal line until we reach the y axis. You should arrive at y = 3.

Answer:

3$/1lb

Step-by-step explanation:

thats the answerrrr

 What are the similarities and differences between the standard form and vertex form of a quadratic equation?

Answers

Step-by-step explanation:

Standard form is ax^2 + bx + c. Vertex form is a(x-h)^2 + k, which reveals the vertex and axis of symmetry. Factored form is a(x-r)(x-s), which reveals the roots.

I need help, what is 1/4 x 5.

Answers

Answer: it would be 1.25 since 1/4 is a fraction

1st 1/4 x 5/1

2nd 1+4 =5  keep the denominator

so the final product would be 5/4 or 1.25

Solution of expression 1/4 × 5 is 1.25

What is division?

Division is an operation that represents the basic idea of repeated subtraction of the same number. It is inverse of multiplication operation.

Given expression

1/4 × 5

= 5/4

= 1.25

Hence, 1.25 is solution of given expression.

Learn more about division here:

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Find the volume round to the nearest tenth ( show work)

Answers

Answer:

2,144.7

4 x pi x (radius x radius x radius / 3)

4 x pi = 12.5663706

8 x 8 x 8 / 3 = 170.66

12.5663706 x 170.67 =2,144.66 rounded is 2,144.7

Hope this helps

Step-by-step explanation:

Determine the value of y. answers : A) 46° B) 226° C) 180° D) 134°

Answers

Answer:

a) 46

Step-by-step explanation:

The total degrees of a straight line is 180, so if the angle on the other side of y is 134, then you subtract 180-134, to know the y value

180-134=46

What is the solution to the system of linear equations?
2x + y= 5
5x+4y= 11
(3,-1)
(-5,9)
(2, -1)
(5.-7)

Answers

Answer:

(3, -1)

x is 3

y is -1

Step-by-step explanation:

Solving for x:

2x+y=5

Subtract y from both sides

2x= -y+5

Subtract 5 from both sides

2x-5= -y

Multiply both sides by 4

8x-20= -4y

5x+4y=11

Subtract 4y from both sides

5x= -4y+11

Subtract 11 from both sides

5x-11= -4y

Combine equations:

5x-11=8x-20

Subtract 5x from both sides

-11=3x-20

Add 20 to both sides

9=3x

3x=9

Divide both sides by 3

x=3

Solving for y:

2x+y=5

Subtract y from both sides

2x= -y+5

-y+5=2x

Multiply both sides by 5

-5y+25=10x

5x+4y=11

Subtract 4y from both sides

5x= -4y+11

-4y+11=5x

Multiply both sides by 2

-8y+22=10x

Combine equations:

-8y+22= -5y+25

Add 8y to both sides

22=3y+25

Divide both sides by 25

-3=3y

3y= -3

Divide both sides by 3

y= -1

If you draw a number tile from the following set of number tiles, how many possible outcomes are there? {2,4,6,8} A. 2 B. 3 C. 4 D. 5

Answers

Answer:

if you draw a single number tile there are 4 possible outcomes 2, 4, 6, or 8

Step-by-step explanation:

there are 4 number tiles 2, 4, 6, and 8 so there are 4 different possibilities 2, 4, 6, or 8

Answer:

4 possible outcomes

Step-by-step explanation:

please mark me brainliest!

Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi? 0.25n≥3+0.15n 0.25n+3<0.15n 0.25n>0.15n+3 3+0.15n>0.25n

Answers

Answer:

0.25n>0.15n+3

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

Since Purple taxi charges 0.25 per mile, the cost of using Purple taxi is:

0.25n  

Where n is the number of miles.

ABC Taxi charges $3 for pick-up and $0.15 per mile

So, the cost for using ABC taxi is equal to the fixed fee per pick up (3) , plus the cost per mile (0.15n)

3+0.15n

To find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi, the cost of a cab ride with purple taxi must be higher (>) than the cost of a cab ride with ABC taxi.

0.25n>0.15n+3  

Using Equations to Compare Linear Functions
Consider the function and its inverse:
f(x) =
) = x -2
-(x) = (x + 2)
The slope, a, of the inverse function is
and the x-intercept of the inverse function is at x =
Intro

Answers

Answer:

[tex]a=3[/tex] and the x-intercept of the inverse function is [tex]x=-2[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=\frac{x}{3}-2[/tex]

[tex]f^{-1}(x)=a(x+2)[/tex]

To find: slope, a, of the inverse function and the x-intercept of the inverse function

Solution:

Let [tex]y=f(x)=\frac{x}{3}-2[/tex]

[tex]y=\frac{x}{3} -2\\\frac{x}{3}=y+2\\x=3(y+2)\\[/tex]

So, [tex]f^{-1}(x)=3(x+2)[/tex]

On comparing [tex]f^{-1}(x)=a(x+2)[/tex] with [tex]f^{-1}(x)=3(x+2)[/tex], [tex]a=3[/tex]

To find the x-intercept of the inverse function, put [tex]f^{-1}(x)=0\Rightarrow 3(x+2)=0\Rightarrow x=-2[/tex]

The slope, a, of the inverse function is  3 , and the x-intercept of the inverse function is at x =  -2 .

Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

x=36

Step-by-step explanation:

3x+2x=180 (because they're supplementary angles)

5x=180

x=36

Find the value of T when T = 2U + 4V when U = 4 and V = -5

Please help

Answers

________________________________

Hey!!!

Solution,

U=4

V=-5

Now,

T=2U+4V

=2*4+4*(-5)

=8+(-20)

=8-20

=-12

So the value of T is -12.

hope it helps

Good luck on your assignment

_____________________________

Answer: -12

Explanation:
2x4=8
4x-5=-20
8+-20=-12

Solve for x. 9x=3x−3

Answers

Answer:

x=-1/2

Step-by-step explanation:

9X = 3X + -3

Reorder the terms:

9X = -3 + 3X

Solving

9X = -3 + 3X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-3X' to each side of the equation.

9X + -3X = -3 + 3X + -3X

Combine like terms: 9X + -3X = 6X

6X = -3 + 3X + -3X

Combine like terms: 3X + -3X = 0

6X = -3 + 0

6X = -3

Divide each side by '6'.

X = -0.5

Answer:

x = -0.5

Step-by-step explanation:

In an equation, the goal is the isolate the variable. We do this by undoing the operations done to result in the given equation.

Step 1: Subtract 3x

6x = -3

Step 2: Divide by 6

-0.5

Step 3: Check

9(-0.5) = 3(-0.5) - 3

-4.5 = -4.5 ✅

I'm always happy to help :)

If an electric circuit is not grounded, it is best to reach out and touch it to
provide the ground.
O A. True
O B. False

Answers

the answer is B because it is not safe to touch it

Mr. Hinkcley owns 83 acres of land. He divides the land into eight equals sections to sell to eight buyers. What phrase describes how much land, in acres, each buyer will receive

A) more than 9 less than 10

B) more than 10 less than 11

C) more than 11 less than 12

D) more than 12 less than 13


Answers

The answer will be a all you do is divide 83 by eight witch gives you 10.37

A polynomial function has -5+√3t as a root. Which of the following must also be a root of the function? a) -5-√3t b) -5+√3t c) 5-√3t d) 5+√3t

Answers

Answer:

a

Step-by-step explanation:

Radical roots occur as conjugate pairs

Given - 5 + [tex]\sqrt{3}[/tex] t is a root , then

- 5 - [tex]\sqrt{3}[/tex] t is also a root → a

Eva can type 320 words in 4 minutes. How many words per minute can Eva type?
words per minute​

Answers

Answer:

80 words per minute

Step-by-step explanation:

320/4

80 wpm

Answer:80 wpm

Step-by-step explanation:

Divide 320 by 4.

That should give you 80.

Hope i helped :)))

Find the greatest and the smallest numbers that can be written using three ‘ones’, decimal points and/or exponents.

Answers

Answer:

Biggest = 111

Smallest = 0.1^(11) = 0.00000000001

Step-by-step explanation:

The smallest number I believe you can get is 0.1^11 this results in a number of 0.00000000001 and I believe the biggest number is 111.

Which of the following is the equation of a line in slope-intercept form for a line with slope =1/4 and y-intercept at (0,-1)?
A. y=-1/4x - 1/4
B. y= 1/4x - 1
C. y= 1/4x +1
D. y=4x - 1

Answers

Answer: b.y=1/4x-1

Step-by-step explanation:

Y=mx+b

Y=1/4x-1 because 1/4 is the slope which is what you put in m and -1 is the y-intercept which is where it starts and is what you put in b.

Answer:y=1/4x-1

Step-by-step explanation:

Please explain how you got your answer( worth 10 points)

Answers

*formula*
(Number of beds)lwh/soil cubed

*substituted*
4 x 10 x 5 x 1.5/1.5
(4x10)
40 x 5 x 1.5/1.5
(40 x 5)
200 x 1.5/1.5

(Here you can do two things continue with current bedmas, or get rid of things that cancel each other out)

*continuing*
(200 x 1.5)
300/1.5
200
Therefore
She would need 200 bags

If you canceled things out you would emidiatly have 200

Please let me know if my work is incorrect and I’ll correct is ASAP

I’ll fine you brainlist if you answer please answer it’s URGENT

Answers

Answer:

6, 0, 10

B

Step-by-step explanation:

Plug in the values of x into the equation to find the y coordinate. Then match the coordinates in the table to the graph.

One number is six times another number. Their difference is 35. What are the two numbers?

Answers

Answer:

The numbers are 7 and 42

Step-by-step explanation:

Let x and y be the numbers

x = 6y

x-y = 35

Substitute the first equation into the second equation

6y -y = 35

Combine like terms

5y = 35

Divide by 5

5y/5 = 35/5

y = 7

Now find x

x = 6*y

x = 6*7

x = 42

Answer:

The two numbers are 42 and 7.

Step-by-step explanation:

6x-x=35

5x=35

x=7

6(7)=42

7=7

What is the value of the rational expression below when xis equal to 3?
17 + x/x+2
A. 4
B. 3.4
C. 10
O D. 8.5

Answers

The answer is A
Step by step
4.3454

Answer: A

Step-by-step explanation:

Marci hiked 15 miles from Park Headquarters to Blue Lake in 5 hours. What was her average speed?

Answers

Answer:

3 miles per hour

Step-by-step explanation:

The formula for average speed is: [tex]R = \frac{D_{total} }{T_{total} }[/tex] R being rate, D being distance, T being time. We substitute the values to get [tex]R = \frac{15}{5}[/tex] Simplified 3. Her average speed was 3 miles per hour. Hope this helps!

Answer:

3 miles per hour.

Step-by-step explanation:

15 divided by 5 is 3

each hour he would have covered 3 miles of distance.

What is the measure of arc AB? A) 60° B) 75° C) 125° D) 150°

Answers

Answer:

150

Step-by-step explanation:

The arc would be the same as the angle that is in it's center because this is a circle.

The measure of arc AB is equal to the 150 degree, as central angle is equal to the intercepted arc. Option D is the correct option.

What is the central angle of the arc?

The central angle is the angle which is subtended by the arc of the circle at the center point of that circle. The formula which is used to calculate the central angle of the arc is given below.

[tex]\theta=\dfrac{s}{r}[/tex]

Here, (r) is the radius of the circle, (θ) is the central angle and (s) is the arc length.

In the given circle, suppose the center of it is O. The central angle AOB given as,

[tex]\angle AOB=150^o[/tex]

The central angle is equal to the intercepted arc of the angle. Thus,

[tex]\text {arc } AB=\angle AOB\\\text {arc } AB=150^o[/tex]

Thus, the measure of arc AB is equal to the 150 degree as central angle is equal to the intercepted arc. Option D is the correct option.

Learn more about the central angle of the arc here;

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Dominique is buying water. She needs 2 liters. A​ half-liter of water costs ​$2.46. A 250​-milliliter container of water costs ​$1.48. What should Dominique buy so she gets 2 liters at the lowest​ price? Explain.

Answers

Answer:

[tex]\fbox{\begin{minipage}{15em}A half-liter of water costs 2.46$\end{minipage}}[/tex]

Step-by-step explanation:

Dominique wants to buy [tex]2[/tex] liters of water.

Case 1:

A half-liter of water costs [tex]2.46[/tex].

The [tex]2[/tex] half-liters is [tex]1[/tex] liter => The cost of a liter of water ([tex]A[/tex]) is calculated by multiply  the cost of [tex]1[/tex] half-liter by [tex]2[/tex]:

[tex]A = 2.46[/tex] x [tex]2[/tex] = [tex]4.92[/tex]

=> The cost of two liters: [tex]A_{1}[/tex] = [tex]A[/tex] x [tex]2[/tex] = [tex]4.92[/tex] x [tex]2[/tex] = [tex]9.84[/tex] $

Case 2:

A quarter-liter of water costs [tex]1.48[/tex].

The 4 quarter-liters is [tex]1[/tex] liter => The cost of a liter of water ([tex]B[/tex]) is calculated by multiply the cost of [tex]1[/tex] quarter-liter by [tex]4[/tex]:

[tex]B = 1.48[/tex] x [tex]4[/tex] = [tex]5.92[/tex]

=> The cost of two liters: [tex]B_{1} = 5.92[/tex] x [tex]2[/tex] = [tex]11.84[/tex] $

Compare [tex]A_{1}[/tex] and [tex]B_{1}[/tex], the cost of second buying method is more expensive.

=> She should buy the water, in which a​ half-liter of water costs ​$[tex]2.46[/tex]

Hope this helps!

:)

ANSWERR ASAPP!!! I GIVE BRAINLIESTT!!

Answer b and correct c and a if wrong ​

Answers

Answer:

b is (4,55). c is correct I believe.

Step-by-step explanation:

You need to find where the lines cross on the graph. You see that at point (4,55)

Answer:

BBBBBBBBBB is the anwser!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

A. -3/2
B.2/3
C.-2/3
D.3/2
I need help pls

Answers

Answer:

The slope of the line is D. 3/2.

Step-by-step explanation:

D. 3/2 (go up 3 and to the right 2)
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I dont know whether the ambulance driver forgot to bring in the list, or gave it to the wrong person, or what, but they couldnt find it. My dad must be on 12 different medications so I wasnt sure I could remember them correctly. I called the nursing home and we went over the list with them, and then I gave the handwritten list to the nursing station. In the meantime, my dad was admitted to the hospital and moved to a hospital room. Again, a nurse came in with a computer and asked me to tell them what meds he was talking. I tried to tell them that the emergency room had the list, but she said it would be the next morning before the list got updated online. Nevertheless, the nurse called down to the emergency room and was faxed up the list of medications. Only the fax was unreadable, so they came back to me. It was a few hours before his next meds were due, so I drove over to the nursing home, had them make several legible copies of the meds list and drove back to the hospital. 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