What is 2 with an exponent of -2 equal to?

Answers

Answer 1

Answer:

[tex] \boxed{\frac{1}{4} } [/tex]

Step-by-step explanation:

[tex]{2}^{ - 2} = \frac{1}{ {2}^{2} } \\ \\ \: \: \: \: \: \: \: \: \: = \frac{1}{4} [/tex]

[tex] Negative \: exponent \\ \\ = > {a}^{-x} = \frac{1}{{a}^{x}} [/tex]

Answer 2

Answer:

[tex]=\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]2^{-2}\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\2^{-2}=\frac{1}{2^2}\\=\frac{1}{2^2}\\2^2=4\\=\frac{1}{4}[/tex]


Related Questions

PLZ PLZ HELP QUICK VERY QUICK PLZ PLZ
Find the area of the semicircle.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.

Answers

Pi*5 squared= 78.5 (rounded to 1 decimal place)

78.5/2=38.25

I divide it by two becAuse it is a semi circle

Answer=38.25

Answer:

It is 39.25

Step-by-step explanation: Khan Academy

Could someone help me please

Answers

Answer:

Cannot

Can

Cannot

Cannot

Step-by-step explanation:

10+3 < 18

16+8>23

6.5+3.4 < 10.8

7+7< 23

Answer:

what's the question men let me no

[tex]R = \sqrt{ \frac{ax - P}{Q + bx} } [/tex]
solve for x. Please can someone help me ASAP. I need to hand it on today.​

Answers

Step-by-step explanation:

[tex]r = \sqrt{ \frac{ax - p}{q + bx} } \\ {r}^{2} = \frac{ax - p}{q + bx} [/tex]

r² (q + bx) = ax - p

qr² + bxr² = ax - p

qr² + p = ax - bxr²

qr² + p = x (a - br²)

[tex]x = \frac{q {r}^{2} + p}{a - b {r}^{2} } [/tex]

Answer:

[tex]\displaystyle x=\frac{-P-\math{R}^2Q}{\math{R}^2b-a}[/tex]

Step-by-step explanation:

[tex]R=\sqrt{\frac{ax-P}{Q+bx}}[/tex]

[tex]\mathrm{Square\:both\:sides}[/tex]

[tex]R^2=\left(\sqrt{\frac{ax-P}{Q+bx}}\right)^2[/tex]

[tex]R^2=\frac{ax-P}{Q+bx}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}Q+bx[/tex]

[tex]\math{R}^2\left(Q+bx\right)=\frac{ax-P}{Q+bx}\left(Q+bx\right)[/tex]

[tex]\math{R}^2\left(Q+bx\right)=ax-P[/tex]

[tex]\math{R}^2Q+\math{R}^2bx=ax-P[/tex]

[tex]\mathrm{Subtract\:}\math{R}^2Q\mathrm{\:from\:both\:sides}[/tex]

[tex]\math{R}^2Q+\math{R}^2bx-\math{R}^2Q=ax-P-\math{R}^2Q[/tex]

[tex]\math{R}^2bx=ax-P-\math{R}^2Q[/tex]

[tex]\mathrm{Subtract\:}ax\mathrm{\:from\:both\:sides}[/tex]

[tex]\math{R}^2bx-ax=ax-P-\math{R}^2Q-ax[/tex]

[tex]\math{R}^2bx-ax=-P-\math{R}^2Q[/tex]

[tex]\mathrm{Factor}\:\math{R}^2bx-ax[/tex]

[tex]x\left(\math{R}^2b-a\right)=-P-\math{R}^2Q[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}\math{R}^2b-a[/tex]

[tex]\frac{x\left(\math{R}^2b-a\right)}{\math{R}^2b-a}=-\frac{P}{\math{R}^2b-a}-\frac{\math{R}^2Q}{\math{R}^2b-a}[/tex]

[tex]x=\frac{-P-\math{R}^2Q}{\math{R}^2b-a}[/tex]

Simplify an Expression
Quick
Check
Simplify each expression involving signed numbers
-7-2=
12 + (-4)= |
-3(-6) = 1
18

Answers

Answer:

-10827

is the answer for your question I think

Answer:

[tex]-9[/tex]

[tex]8[/tex]

[tex]18[/tex]

Step-by-step explanation:

[tex]-7-2=-9[/tex]

[tex]12+(-4)=8[/tex]

[tex]-3(-6)=18[/tex]

(3×2^2)^9÷(3^3×2)^5​

Answers

Answer:

exact form

8192/729

decimal

11.237

Step-by-step explanation:

cancel common factors

I need help showing my work for the picture I've attached! I already have the answer as you can see below :)

Answers

Answer:

3x²y∛y

Step-by-step explanation:

∛27x⁶y⁴= ∛3³(x²)³y³y= 3x²y∛y

A coordinate plane showing Nina's run. The x-axis shows Time in seconds and the y-axis shows Distance in meters. Four points plotted and labeled. The points are (4, 32), (6, 48), (8, 64), (10, 80). A two column table with four rows. The first column, Time in seconds, has the entries, 4, 6, 8. The second column, Distance in meters, has the entries, 35, 47.5, 60. Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left. Who had a head start, and how big was the head start? had a head start of meters

Answers

Answer:

Ryan had a head start of 10 meters

Answer:

Ryan had a head start of 10 meters.

Have a great day!

Step-by-step explanation:

Please mark me brainliest!

pls answer this qn i need it urgently

Answers

Answer:

First rationalize the surd

(√3 +√2)(√3 - √2)/(√3 - √2)(√3 -√2)

The final answer will be 5 + 2√6

So x = 5 + 2√6

I) x + 1/x

5 + 2√6 + 1/5 + 2√6

Find the LCM

The final answer will be 10

ii) x² +1/x²

(5 + 2√6)² + 1/(5 +2√6)²

= 49 + 20√6 + 1/49 + 20√6

Find the LCM

The final answer will be 98

For i) x = 10

ii) x = 98

Hope this helps.

Answer:

i) 10

ii) 98

Step-by-step explanation:

x= (√3+√2)/(√3-√2)

i)

x+1/x= (√3+√2)/(√3-√2) + (√3-√2)/(√3+√2)= ((√3+√2)²+(√3-√2)²)/(√3+√2)(√3-√2)=(3+2+2√6+3+2-2√6)/(3-2)= 10

ii)

x²+1/x²= (x+1/x)² - 2x*1/x= 10² - 2= 100 - 2= 98

License plates in Ontario have four letters (A-2) followed by three numbers (0-9). Letters and numbers can be repeated.
How many different license plates could be made?
676,000
480,835,200
4,569,760,000
26,000

Answers

Answer:

456976000

Step-by-step explanation:

There are 26 letters and 10 digits

4 letter then 3 numbers

26*26*26*26*10*10*10

456976000

solve for x
8x+1=-71

Answers

Answer:

-9

Step-by-step explanation:

8x + 1 = -71

8x = -72

x = -9

Answer:

x = -9.

Step-by-step explanation:

8x + 1 = -71    Subtract 1 from both sides:

8x + 1 - 1 = -71 - 1

8x = -72

x = -72/8

x = -9.

I really need help with this I don't understand it.

Answers

Answer:

(10x + 37) and (15x+7) are vertical angles which are always equal

10x + 37 = 15x +7

5x = 30

x = 6

The angle (15x +7) equals 97 and the other angle (10x + 37) also equals 97 degrees.  All 4 of the angles add up to 360 degrees.

Therefore, 360 = 2z + 97 + 97

2z = 166

z = 83

Step-by-step explanation:

Calculate the measures of variability for the data set. The range is

Answers


There are four frequently used measures of variability: the range, interquartile range, variance, and standard deviation. In the next few paragraphs, we will look at each of these four measures of variability in more detail.!!!!!!!!

Brad is practicing the piano. He spends 14 hour practicing scales and 16 hour practicing the song for his recital. Find TWO possible common denominators for 14 and 16.

Answers

Answer:

1 and 2

Step-by-step explanation:

A denominator divides a number

to find the two common denominators of 14 and 16,

first we find the factors of 14 and 16.

Factors of 14 are: 1, 2, 7, 14.

Factors of 16 are: 1, 2, 4, 8, 16.

The two common factors between this numbers that will be able to divide these numbers without remainder are 1 and 2, therefore,

the two common denominators of 14 and 16 are 1 and 2

Simplify this equation. 4m(2mn - 8m) +3n (5n-6mn)Please help me and show working as well​

Answers

Answer:8m^2n - 32m^2 + 15n^2 - 18mn^2

Step-by-step explanation:

4m x 2mn = 8m^2n

4m x -8m = -32m^2

3n x 5n = 15n^2

3n x -6mn = -18 mn^2

when you add them all together,

8m^2n - 32m^2 + 15n^2 - 18mn^2

YEAR 9 MATHS -SYMMETRY QUESTION

Tick whether the statement below is true or false for this rectangle.

It has rotational symmetry of order 4

(1 mark)

Answers

Answer:

32cm

Step-by-step explanation:

i think it is  symmetry of order 2 as it's rotational symmetry is 180°

Answer:

It has rotational symmetry of order 2 as it's rotational symmetry is 180°

Factor-8x^3-2x^2-12x-3 by grouping

Answers

Answer:

[tex]=-\left(4x+1\right)\left(2x^2+3\right)[/tex]

Step-by-step explanation:

[tex]-8x^3-2x^2-12x-3\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(8x^3+2x^2+12x+3\right)\\\mathrm{Factor}\:8x^3+2x^2+12x+3:\quad \left(4x+1\right)\left(2x^2+3\right)\\8x^3+2x^2+12x+3\\=\left(8x^3+2x^2\right)+\left(12x+3\right)\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}12x+3\mathrm{:\quad }3\left(4x+1\right)\\12x+3\\\mathrm{Rewrite\:}12\mathrm{\:as\:}3\cdot \:4\\=3\cdot \:4x+3\\\mathrm{Factor\:out\:common\:term\:}3\\=3\left(4x+1\right)[/tex]

[tex]\mathrm{Factor\:out\:}2x^2\mathrm{\:from\:}8x^3+2x^2\mathrm{:\quad }2x^2\left(4x+1\right)\\8x^3+2x^2\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^3=xx^2\\=8xx^2+2x^2\\\mathrm{Rewrite\:}8\mathrm{\:as\:}2\cdot \:4\\=2\cdot \:4xx^2+2x^2\\\mathrm{Factor\:out\:common\:term\:}2x^2\\=2x^2\left(4x+1\right)\\=3\left(4x+1\right)+2x^2\left(4x+1\right)\\\mathrm{Factor\:out\:common\:term\:}4x+1\\=\left(4x+1\right)\left(2x^2+3\right)\\=-\left(4x+1\right)\left(2x^2+3\right)[/tex]

I need help with this :(

Answers

Answer:

1. 4 2. 4 3. 5 4.1

Step-by-step explanation:

first box is 4 second box is 4 third is 5 fourth is 1.

You're welcome.

WILL GIVE BRAINLIEST What are the like terms in the algebraic expression? Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b Negative a squared b and negative 6 a Negative a squared b and 5 a squared b 6 a b and 5 a squared b 6 a b and negative 6 a

Answers

Answer: B

Negative a squared b and 5 a squared b

Step-by-step explanation:

Given that:

Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b. That is,

- a^2b + 6ab - 8 + 5a^b - 6a - b

Collecting the like term by rearranging the expression

5a^2b - a^2b + 6ab - 6a - b

The like terms in the expression above are

5a^2b - a^2b.

The correct option is B:

Negative a squared b and 5 a squared b or (-a^2b and 5a^b)

Answer:

B

Step-by-step explanation:

Negative a squared b and 5 a squared b

Step-by-step explanation:

Given that:

Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b. That is,

- a^2b + 6ab - 8 + 5a^b - 6a - b

Collecting the like term by rearranging the expression

5a^2b - a^2b + 6ab - 6a - b

The like terms in the expression above are

5a^2b - a^2b.

The correct option is B:

Negative a squared b and 5 a squared b or (-a^2b and 5a^b)

What is the slope-intercept form of the equation of the line that passes through the points (−3, 2) and (1, 5)? Help please☹

Answers

Answer:

y=3/4x+17/4

Step-by-step explanation:

Answer:

y = (3/4)x + 17/4

Step-by-step explanation:

The slope-intercept form of the equation of the line is  y = ax + b

This line passes (-3, 2) and (1, 5)

=> 2 = a(-3) + b

=> 5 = a(1) + b

Subtraction 1st equation from 2nd equation, we have:

3 = 4a

=> a = 3/4

From 2nd equation, we have: 5 = 3/4 + b

=> b = 5 - 3/4 = 17/4

=> y = (3/4)x + 17/4

Hope this helps!

Which expression represents the algebraic phrase “the sum of negative three-eighths and four times x minus nine times z”?

Answers

Answer:

-3/8 +4x -9z

Step-by-step explanation:

this should be the translated answer, the variables don't need a multiplication sign because they aren't written as numbers

A) Complete the table of values for y= x^2 - 4x


Answers

Answer:

y = x² - 4x

x = -1 y = 5

x = 0 y = 0

x = 1 y = -3

x = 2 y = - 4

x = 3 y = - 3

x = 4 y = 0

x = 5 y = 5

Hope this helps.

The equivalent values to complete the table are 5, -1, -4 and 0

Given the function according to the table shown:

[tex]y= x^2 - 4x[/tex]

When x = -1

[tex]y= (-1)^2 - 4(-1)\\y=1+4\\y=5[/tex]

When x = 1

[tex]y= (1)^2 - 4(1)\\y=1-4\\y=-3[/tex]

When x = 2

[tex]y= (2)^2 - 4(2)\\y=4-8\\y=-4[/tex]

when x = 4

[tex]y= (4)^2 - 4(4)\\y=16-16\\y=0[/tex]

Hence the equivalent values to complete the table are 5, -1, -4 and 0

Learn more here: https://brainly.com/question/12229583

78% of a number, P, is 23.4 more than 117% of another number, Q. It is further given
that is 40% of P. Find P and Q.

Answers

Answer:

Step-by-step explanation:

"78% of P" looks like this in an algebraic expression: .78P

"117% of Q" looks like this: 1.17Q

"...is 23.4 more than [above]" looks like this: [above] + 23.4

Putting that all together in one equation, knowing that the word "is" means "equals":

.78P = 1.17Q + 23.4

From there, we will now use the fact that Q is 40% of P, which looks like this:

Q = .4P

Now, using that substitution:

.78P = 1.17(.4P) + 23.4 and

.78P = .468P + 23.4 and

.312P = 23.4 so

P = 75

Going back up to what Q is equal to, we will sub in the value of P and solve for Q:

Q = .4P and P = 75, therefore,

Q = .4(75) so

Q = 30

What is the name of the line of reflection for the pair of figures? Enter your answer in the box.

Answers

Answer:

the line of symmetry. It's like a mirror.

Step-by-step explanation:

Match the graph to the correct inequality below.

Answers

The answer is the last one

Answer:

x > -3

Its an open dot so its not the one with the line under it.

Help, please! An explanation would be great, I'm so confused on this question-

Answers

Answer:

a=250 and b=10

Step-by-step explanation:

a=5*100/2=250

b=200*5/100=10

Answer:

a = 250

b = 10

Step-by-step explanation:

1) a = [tex]\frac{5x^2}{2}[/tex]

Putting x = 10

a = 5(10)²/2

a = 5(100)/2

a = 250

2) b = [tex]\frac{2x^2(x-5)}{10x}[/tex]

Putting x = 10

b = 2(10)²(10-5) / 10(10)

b = 2(100)(5) / 100

b = 1000 / 100

b = 10

What is the mean of this data set? If necessary, round your answer to the nearest tenth. 11,16,22,28,29,30,31,34,37,38,43,49,56,78,99

Answers

Answer:

67 to be at work by the end if your here and we can go to the group and we will be in the office Andy I have to go to work and come back to you and get to you by the end of siliconeyiq and the next day or spiral ham and cheese for the day but will be in a

Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?


$ ___

Answers

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

(Brainliest will be given) Determine which of the following descriptions is accurate.

Answers

Answer:

B the size of the circle is a function of the height of the rectangle

Step-by-step explanation:

Please tell me if it is right and give me thanks and brainleist only if right

Please help !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:15

Step-by-step explanation:

its obvious lol simple maths

it is 15. simple math you can plug it in:))

Complete the following: 2197 is the CUBE root of ______

Answers

The Cube root of 2197 is 13.
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