the simple form of this is....
[tex] {2}^{3 } \div {2}^{ - 5} [/tex]​

Answers

Answer 1

Answer:  [tex]2^8 = 256[/tex]

Explanation:

The rule to use is

[tex]a^b \div a^c = a^{b-c}[/tex]

We subtract the exponents.

So in this case,

[tex]2^3 \div 2^{-5} = 2^{3-(-5)} = \boldsymbol{2^8} = \boldsymbol{256}[/tex]


Related Questions

Find the value of x.
45°
96°

Answers

Answer:

39

Step-by-step explanation:

all angles of a triangle equal to 180, so you just have to subtract those two known angles from 180, and you will get the answer.

Question : -

Find the value of angle x .

Given : -

First angle = 45°

Second angle = 96°

Third angle = x°

To Find : -

We have to find the value of x .

Concept : -

The concept of this question belongs to angles of triangle . We know that the sum of all the three angles of triangle is 180°.

So let's get started : -

As we know that all the angles of triangle is equal to 180° . So :

1st angle + 2nd Angle + 3rd Angle = 180°

45° + 96° + x° = 180°

141° + x° = 180°

x° = 180° - 141°

x° = 39°

Therefore , angle x is of 39° .

Verifying : -

45° + 96° + 39° = 180°

141° + 39° = 180°

180° = 180°

L.H.S = R.H.S

Hence, Verified .

Thus, our answer is valid .

#[tex] \sf \bold{Keep \: Learning}[/tex]

Which of the following sets of numbers could represent the three sides of a triangle?
{6,18,24}
{5,16,22}
{11, 17, 27}
{ 8, 15, 24}

Answers

Answer: Choice C

{11, 17, 27}

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

Explanation:

Let's go through the answer choices.

A) This won't work because 6+18 = 24 which is not larger than the third side 24. The sum of any two sides must be larger than the other side. Refer to the triangle inequality theorem.B) 5+16 = 21 is not larger than 22, so we rule this out as well.C) We'll come back to this laterD) We rule this out because 8+15 = 23 is not larger than 24.

Now return back to choice C. Notice how adding any two sides leads to a sum larger than the third side

11+17 = 28 is larger than 2711+27 = 38 is larger than 1717+27 = 44 is larger than 11

The three conditions of the triangle inequality theorem are met, so a triangle is possible for choice C.

Would appreciate some help

Answers

Answer:

e) 36x² - 32y³ = (4)(9x² - 8y³)

f) 45a⁴ - 54a³ = (9a³)(5a - 6)

Step-by-step explanation:

e) 36x² - 32y³ = (4)(9x² - 8y³) becuase 4*9 = 36 and 4*8 = 32

f) 45a⁴ - 54a³ = (9a³)(5a - 6) becuase 9*5 = 45 and 9*6 = 54 and when a is multiplied by a³ you get a⁴

(the exponent are added)

PLEASE RATE!! I hope this helps!!
If you have any questions comment below

convert radians to degrees

Answers

Answer:

135 degrees

Step-by-step explanation:

The image shows how i had my answer please

1 message What is the graph of the solution set of b - 4 ≥ -1?

Answers

Answer:

Hope the picture will help you!!

A local restaurant uses a computer to randomly select an appetizer and accompanying sauce. The table below shows all the
possible outcomes when ordering





What is the probability of receiving chicken or ribs and getting a red sauce?

Answers

Answer:

B 1/5

Step-by-step explanation:

there is 20 combinations

4 of the twenty are ribs or chicken with a red sauce

4/20 = 1/5

Evaluate [tex]\frac{1}{2^{-2}x^{-3}y^{5} }[/tex] for x=2 and y=-4.

A)-16
b)-4
c)[tex]-\frac{1}{32}[/tex]
d)16

Answers

Answer:

[tex]\bf C)\: -\cfrac{1}{32}[/tex]

Step-by-step explanation:

[tex]\tt \cfrac{1}{2^{-2}x^{-3}y^5}[/tex]

[tex]\tt x=2\\y=-4[/tex]

~

Substitute ''x'' with '2' & 'y' with "-4":-

[tex]\tt \cfrac{1}{2^{-2}\times \:2^{-3}\left(-4\right)^5}[/tex]

First let's solve [tex]\tt 2^{-2}\times \:\:2^{-3}\left(-4\right)^5[/tex]

[tex]\tt 2^{-2}\times \:2^{-3}=\boxed{\cfrac{1}{32} }[/tex]

[tex]\tt \cfrac{1}{32}\left(-4\right)^5[/tex]

Calculate exponents:- -4^5= -1024

[tex]\tt \cfrac{1}{32}\left(-1024\right)[/tex]

Remove parentheses, apply rule:- [tex]\tt a\left(-b\right)=-ab[/tex]

[tex]\tt-\frac{1}{32}\times \:1024[/tex]

[tex]\tt \cfrac{1}{32}\times \cfrac{1024}{1}[/tex]

Apply fraction rule:-

[tex]\tt -\cfrac{1\times \:1024}{32\times \:1}[/tex]

[tex]\tt \cfrac{1024}{32}[/tex]

Divide numbers:-

[tex]\tt -32[/tex]

Now that we're done factoring the denominator let's bring down the numerator which is ' 1 ':-

[tex]\tt -\cfrac{1}{32}\;\; \bf Answer[/tex]

☆-------☆-------☆-------☆

[tex]\dfrac 1{2^{-2}\cdot x^{-3}\cdot y^5}\\\\=\dfrac 1{2^{-2} \cdot2^{-3} \cdot (-4)^5}\\\\=-\dfrac 1{2^{-2} \cdot 2^{-3} \cdot (2^2)^5}\\\\=-\dfrac{1}{2^{-2} \cdot 2^{-3} \cdot 2^{10}}\\\\=-\dfrac{1}{2^{-2-3+10}}\\\\=-\dfrac 1{2^{5}}\\\\=-\dfrac 1{32}[/tex]

Which statement is a TRUE statement about rectangles?
The sides in a rectangle are not parallel.
The angles in a rectangle are all different.
The opposite sides in a rectangle are equal.
All the sides in a rectangle are equal.

Answers

Answer:

The opposite sides in a rectangle are equal.

Step-by-step explanation:

If all sides were equal, you would have a square.

If the opposite sides were not parallel, you would not have 4 sides that meet at 90 degrees.

All angles in a rectangle are 90 degrees.

Answer:

The opposite sides in a rectangle are equal.

Step-by-step explanation:

hope this helps  hope you get it correct

I’m so confused by this:( Could someone please explain how to do this thoroughly?

Answers

Answer:

A.  Complementary and Adjacent

B.  ∠KLM = 22°  and  ∠MLN = 68°

Step-by-step explanation:

Question A

As ∠KLN is a right angle, ∠KLN = 90°

⇒ ∠KLM + ∠MLN = 90°

When the sum of two angles is 90°, they are called complementary angles.

∠KLM and ∠MLN have a common side of ML and a common vertex (corner point) L.

When two angles have a common side and a common vertex but do not overlap in any way, the are called adjacent angles.

Question B

First find n:

∠KLM + ∠MLN = ∠KLN

⇒ 2n + (6n + 2) = 90

⇒ 2n + 6n + 2 = 90

Combine like terms:

⇒ 8n + 2 = 90

Subtract 2 from both sides:

⇒ 8n = 88

Divide both sides by 8:

⇒ n = 11

Now substitute the found value of n into the expressions for the two angles:

⇒ ∠KLM = 2(11) = 22°

⇒ ∠MLN = 6(11) + 2 = 68°

Four identical circles are lined up in a row with no
gaps between them such that the diameters for a
segment that is 68 centimeters long. What is the
combined area of all the circles to the nearest
hundredth? Use 3.14 for Pi

Answers

Answer: 907.46

Step-by-step explanation:

What is the range of the polynomial y = 3x3 - 3x2 - 3x + 8 in interval notation?

Answers

Answer:

(-∞,∞)

Step-by-step explanation:

Tory is going to the fair with four of her friends. The entrance fee per person is $7.50. They plan to go together on all the rides. The cost of each ride is $3.00. Write an expression to represent the cost of the group to go to the fair for any number of rides.

Answers

Answer:

$37.5+$3r

Step-by-step explanation:

We can assume that the number of rides is r. Since each ride is $3.00, all rides are $3r ($3xr).

We also know that there are FIVE people going to the fair, with Tory being one and each of her friends. Since the entrance fee is 7.50, we can do 7.50x5 which is $37.5.

Then, you can add it which is $37.5+$3r

PLEASE HELP ILL GIVE FIVE STARS AND MARK BRAINLIEST
Ray is x years old. His brother Ron is y years older than Ray.
How old was Ray 3 years ago?

Answers

Ray is [tex]x[/tex] years old.

Ron is [tex]y[/tex] years old.

In 2 years, Ron will be two years older than now, so [tex]x+y+2[/tex] years old.

if you want to find how old ray was 3 years ago, then you don’t need that second piece of info. ray would be x-3 years old.

The graph shows the distance (d) in miles that an animal runs at a constant speed in (t) minutes. Which equation represents this situation.

Answers

There is no graph or equations shown sorry

I dont know how to answer this

Answers

Answer:

sorry the image isnt clear

Answer:

Can you post it again but clearer

66 is 8-% of what number?
4

Answers

The number is 825
66*100/8=825

Determine an exact value for sin _
3π/4-tan 5π/6

Answers

Answer:

[tex]\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex] or [tex]\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}[/tex]

Step-by-step explanation:

[tex]\sin\frac{3\pi}{4}-\tan\frac{5\pi}{6}\\\\\sin\frac{3\pi}{4}-\frac{\sin\frac{5\pi}{6}}{\cos\frac{5\pi}{6}}\\ \\\frac{\sqrt{2}}{2}-\frac{\frac{1}{2} }{-\frac{\sqrt{3}}{2}}\\ \\\frac{\sqrt{2}}{2}+\frac{1}{\sqrt{3}}\\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}\\ \\\frac{3\sqrt{2}}{6}+\frac{2\sqrt{3}}{6}\\ \\\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex]

Can you do number 1 for me

Answers

Answer:

c. 3/5

Step-by-step explanation:

The average gas mileage (mpg) for vehicles produced by a particular automotive company is 26 mpg, with a standard deviation of 2 mpg. What percentage of the vehicles produced by the automotive company have a gas mileage greater than 24?

Note: Assume that a Normal model is appropriate for the distribution of the gas mileages for the vehicles.

Answers

Answer:

above 84°/. of the vehicles have a gas mileage greater then 24 mpg

¿Qué significa un punto en el diagrama de líneas?​

Answers

un punto en un gráfico de líneas es un valor específico que normalmente es un valor de entrada y salida (x)

Order of Operations
40 + (1 + 2) - 2

3[16 - (2 + 5)]^2

100-50/100-3(2+3)^2​

Answers

Answer:

41, 243, 2

Step-by-step explanation:

40 + (1 + 2) - 2

=41

3[16 - (2 + 5)]^2

=243

100-50/100-3(2+3)^2

=2

Which shapes show equivalent fractions?
A.shapes A and B
B.shapes A and C
C.shapes B and C
D.shapes C and D

Answers

I need a picture so I can help you out.


HURRY PLS WILL MARK BRAINLIEST, Find an equation in slope intercept form of the line that has two slope and passes through points A [9, -2 ]

Answers

Answer:

D

Step-by-step explanation:

sub in the x value and if its equal to -2 its on that line

Help Me on this!!

[tex] \: \: \: [/tex]

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution~

Standard equation of a circle is represented as :

[tex]\qquad \sf  \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]

where,

h = x - coordinate of center

k = y - coordinate of center

radius = diameter/2 = [tex]4\sqrt{3}[/tex]

Now, let's plug in the values to find the required equation of circle ~

[tex]\qquad \sf  \dashrightarrow \:(x - 8) {}^{2} + (y - ( - 10)) {}^{2} = (4\sqrt{3} ) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 8) {}^{2} + (y + 10) {}^{2} = 16 \times 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 8) {}^{2} + (y + 10) {}^{2} = 48[/tex]

Answer:

The equation of given circle with centre C ( 8 , - 10 ) and diameter ( 8√3 ) is + - 16x + 20y + 116 = 0

[tex]\quad\rule{300pt}{1pt}\quad [/tex]

Solution:

The standard equation of Circle is given by :

[tex] {\pmb{\sf {\longrightarrow r^2 = (x-h)^2 +( y-k)^2}} }[/tex]

This is the standard form of the equation. Thus if we know the coordinates of center of the circle and it's radius, we can easily find its equation

Here, in this question we are given that the centre C is ( 8 , -10 ) and diameter 8√3.

[tex] \longrightarrow[/tex]h = 8

[tex] \longrightarrow[/tex] k = - 10

[tex] \longrightarrow[/tex] r = [tex] \sf{\dfrac{diameter}{2}}[/tex]

[tex] \longrightarrow[/tex]‎ r = [tex] \sf 4\sqrt{3}[/tex]

[tex] \qquad\qquad\rule{250pt}{1pt}\qquad[/tex]

On putting the values in the formula :

[tex] \sf{:\implies \qquad r^2 = (x-h)^2+ ( y-k)^2 }[/tex]

[tex] \sf{:\implies \qquad (4\sqrt{3})^2 = ( x-8)^2 +(y-(-10))^2 }[/tex]

[tex] \sf{:\implies \qquad (4)^2.(\sqrt{3})^2=(x-8)^2+(y+10)^2}[/tex]

[tex] \sf{:\implies \qquad 16\times 3 =( x^2 + 8^2 -2\times x \times 8 ) + ( y^2 + 10^2 + 2\times y \times 10 )}[/tex]

[tex] \sf{:\implies \qquad 48 = x^2 + y^2 - 16x + y^2 + 100 + 20y }[/tex]

[tex] \sf{:\implies \qquad 48 = x^2 + y^2 -16 x + 20y + 100 + 64 }[/tex]

[tex] \sf{:\implies \qquad 48 = x^2 +y^2 -16x +20y +164}[/tex]

[tex] \sf{:\implies \qquad x^2 + y^2 -16x +20y +164 - 48 = 0}[/tex]

[tex] \sf{:\implies \qquad{\boxed{ \sf x^2 + y^2 -16x + 20y +116 = 0 }}}[/tex]

‎ㅤ‎ㅤ‎ㅤ‎ㅤ~Hence, the required equation of Circle is + - 10x + 20y + 116 = 0

Simplify the expression.

Answers

Answer:

the answer is

[tex] \frac{12 {c}^{8} }{ {d}^{2} } [/tex]

Step-by-step explanation:

[tex] \frac{12}{ {c}^{ - 8} {d}^{2} } [/tex]

CAN SOMEONE PLSSSSS ANSWER BOTH OF THESE QUESTIONS
I WILL MARK BRAINLIEST

Answers

Answer: B and C

Step-by-step explanation:

404 + 50 + 50 = 504

you are buying  144 magazines total

504/144 = cost of one magazine

cost of one = 3.50

you are paying $60 a year for 12 years

60 x 12 = 720

720/144 = 5

5 - 3.50 = 1.50

2.

120x + 180x = 1080

300x = 1080

x = 1080/300

x = 3.6

3.6 x 60 = 216

Since the sample size is always smaller than the size of the population, the sample mean a. must be larger than the population mean b. can be smaller, larger, or equal to the population mean c. must be equal to the population mean d. must always be smaller than the population mean

Answers

Using the mean concept, it is found that the correct option regarding the sample mean is given by:

b. can be smaller, larger, or equal to the population mean.

What is the mean?

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

No matter the population mean, the sample mean is calculated as stated above, having no restrictions about it's value, hence option b is correct.

More can be learned about the mean concept at https://brainly.com/question/24628525

#SPJ1

if i make 8.50 an hr and i work 30 hours a week 5 days a week how much would i make in a month?

Answers

i made about 17.49 in a mouth

Solve the linear differential equation 2xy' + y = 2√x

Answers

Answer:

Step-by-step explanation:

General form of the linear differential equation can be written as:

[tex]\frac{dy}{dx}+P(x)y=Q(x)[/tex]

For this case, we can rewrite the equation as:

[tex]\frac{dy}{dx}+\frac{1}{2x}y=\frac{\sqrt{x}}{x}[/tex]

Here [tex]P(x) =\frac{1}{2x}; Q(x)=\frac{\sqrt{x}}{x}[/tex]

To find the solution (y(x)), we can use the integration factor method:

[tex]Fy(x)=\int Q(x)Fdx+C \rightarrow F=e^{\int P(x)dx[/tex]

Then [tex]F=e^{\int \frac{1}{2x}dx}=e^{\frac{1}{2}\ln|x|\right}=\sqrt{|x|}[/tex]

So, we can find:

[tex]y\sqrt{|x|}=\int \frac{\sqrt{x}\sqrt{|x|}}{x}dx+C[/tex]

Suppose that [tex]x\in \double R[/tex], then [tex]\sqrt{|x|}=\sqrt{x}[/tex] , and we find:

[tex]y\sqrt{x}=x+C \rightarrow y(x)=\sqrt{x}+\frac{C\sqrt{x}}{x}[/tex]

To check our solution is right or not, put your y(x) back to the ODE:

[tex]y' = \frac{1}{2\sqrt{x}}-\frac{C}{2\sqrt{x^{3}}}[/tex]

[tex]2xy'=\frac{x-C}{\sqrt{x}}[/tex]

[tex]2xy'+y=\frac{x-C}{\sqrt{x}}+\sqrt{x}+\frac{C\sqrt{x}}{x}=2\sqrt{x}[/tex]

(it means your solution is right)


cm
1
cm
3x
**2 cm
1. Write an expression that represents the perimeter of the figure and simplify.
3x2 +7X+7
A.
3x?
O
7x? +7x +7
B.
3x?
O
x2+2x +7
C.

3x2 + 7x +21
D.
3x?

Answers

Answer:

The answer is D

Step-by-step explanation:

(7/x² × x²)+(1/3×x²)+(x+2/x × x²)

(7 + x/3 + x²+2x) times 3 to eliminate the 3 under x/3

so u will get 21+x+3x²+6x

Final answer = 3x²+7x+21

Other Questions
The assignment of students to different types of educational programs is considered a. hidden curriculum. c. diversity. b. placement. d. tracking. please select the best answer from the choices provided a b c d in 1977, Pistol Pete Maravich led the NBA with 2273 points. In 2006, Kobe Bryant led the NBA with 2832 points. However, there were many differences between basketball in 1977 and basketball in 2006, including the number of teams and possibility of a three-point shot. The mean number of points for the top 110 players in 1977 was 1198 points with a standard deviation of 379 points. The mean nimber of yards for the top 150 players in 2006 was 1123 points with a standard deviation of 433 points. Who had the better performance, Maravich or Bryant? Explain your reasoning. One-fourth of a gaseous mixture is Argon and 3/4 of the gas is Oxygen. The total pressure in the containeris 8 atmospheres. What is the partial pressure of the Argon? Risa loaned Abi $50 for a month. She charged 5% weekly simple interest for the month. How much did Abi have to pay Risa? pls help mewill give branilest:) Located toward the end of his speech draft, President Wilson states the importance ofwomen's suffrage as it relates to which event(s)? I need this answered please Im in a rush how many molecules of oxygen are contain in 100 ml of air at NTP? (air contains 21% oxygen by volume Consider the following balanced equation:2KCIO3 2KCl + 302How many grams of O2 will be obtained by decomposing98.1 grams of KClO3?38.4 gramsb17.1 grams25.6 grams76.8 grams Which statement BEST describes the passage in terms of how the speaker supports the argument? A) The speaker uses lots of appeals to logic, quoting statistics and facts to support his point. B) The speech is full of logical fallacies that attempt to be persuasive but are in fact misleading. C) The speaker uses a number of rhetorical devices, including figurative language to make an emotional appeal. D) None of these statements accurately describe this speech in terms of rhetorical strategies and devices used to support the claims. Ral calls Roberto from the United States to tell him how his trip has been. To find out how Roberto reacts, write complete sentences using all of the given elements in the spaces provided. The independent clause verb will indicate whether to use the present perfect indicative or present perfect subjunctive in the dependent clause. OJO! Remember that your answers should include correct capitalization, punctuation, and accents.1. ser imposible / t quedarse / en hoteles de cuatro estrellasenter answer2. no creer / t y tu novia / conocer / al presidente de los Estados Unidosenter answer3. estar seguro / tu novia / pasarlo bien / en Washingtonenter answer4. no dudar / t / participar / en tres manifestaciones polticasenter answer5. no pensar / tu novia / decirte / que no quiere volver a Chileenter answer Vitamin D is different from other vitamins in that it has a site of synthesis that is different from the location of action, so it is considered to be a _______. what is seo stands for? The radius of a cylindrical water tank is 6.5ft, and its height is 17ft. What is the volume of the tank?Use the value 3.14 for [tex]\pi[/tex], and round your answer to the nearest whole number.Be sure to include the correct unit in your answer. Help picture below problem 18 Q Internal Cost Social Cost P 100 $40 $60 $80 200 $50 $70 $70 300 $60 $80 $60 400 $70 $90 $50 500 $80 $100 $40 600 $90 $110 $30 The market equilibrium occurs where price is ________ and quantity is ________. Which one of the following pairs of atoms would form a non-polar covalent bond?a. Cl and C1b. Na and ClC. C.and od. N and O Whoever gets it right can have brainliest, but answer ASAP! Why does Sherlock Holmes decide to let James Ryder go free at the end of "The Adventure of the Blue Carbuncle"?Select all correct answers.He knows the stone will be returned, and it is a time of year for forgiveness.He knows that Henry Baker put Ryder up to the theft, and Ryder just went along.He knows that Ryder will not commit any more crimes.He knows that the case against John Horner will collapse, and Horner will go free. Which of the following numbers is the smallest?1/33/102/53/8