Choose the correct expressions using the fewest number of bases possible that are equivalent to the current expression. Select All that apply. (Note: There are 2 correct choices) Question 4 options: 23−13 210 213−3 2−10

Choose The Correct Expressions Using The Fewest Number Of Bases Possible That Are Equivalent To The Current

Answers

Answer 1
2 Answers: Choice B, Choice C

The rule we use here is [tex]\frac{a^b}{a^c} = a^{b-c}[/tex]

If the font size is too small, then it says (a^b)/(a^c) = a^(b-c)

We subtract the exponents when dividing exponentials like this. The bases must be the same.

So this means the exponents 13 and 3 subtract to get 13-3 = 10

We either have an exponent of "13-3" or an exponent of "10" as an equivalent expression. The base stays at 2 the entire time.


Related Questions

The graphs below have the same shape the equation of the red graph is f(x) =x^2. What is the equation of the blue graph?

Answers

Answer:

[tex]G(x)=(x-6)^2[/tex]

which agrees with the answer D of your options

Step-by-step explanation:

Notice that the graph of G(x) has the initial graph shifted horizontally to the right in 6 units, therefore such horizontal shift is accomplished by subtracting the 6 units from the x-variable in the original expression:

[tex]G(x)=(x-6)^2[/tex]

You buy 3 bags of Hot Cheetos
for $2.00 and a coke for $1.50. What is
change if you pay with $10?

Answers

Answer:

2.50

Step-by-step explanation:

Each bag of cheetos are 2 dollars. So 6 dollars for all of them. Add that by 1.50 and get 7.50 total. subtract that from ten and you get 2.50

is 169 a whole number,Interger,Rational, Irrational,or Real?

Answers

Answer:

A whole number, an integer, a rational number and a real number.

Step-by-step explanation:

It is a whole number, which makes it an integer, which makes it rational, which makes it real.

Please PLEASE HELP THIS IS ALGEBRA 2

Answers

Answer:

I hope this helps you

Step-by-step explanation:

this is how you work out algebra

y+ k-h+x+a

f(-3) if f(x) = 4x^2 + 7x

Answers

Answer:

86x

Step-by-step explanation:

I hope this helps you

let's write -3 for x

f(-3)=4.(-3)^2+7.(-3)

f(-3)=4.9-21

f(-3)=36-21

f(-3)=15

Which table shows the reflection of f(x) across the x-axis?
The first picture is the given table and the other three are the possible answers.

Answers

Answer:

The correct option is;

x,                f(x)

-5,               3

-1,               -2

2,               -4

6,                 1

Step-by-step explanation:

The reflection of a point (x, y) across the x-axis is given by the relation;

Coordinate of the pre-image (x, y) [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] Coordinate of image (x, -y)

Therefore, we have for the points as follows;

(-5, -3)  [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] (-5, 3)

[tex](-5, -3) \mapsto (-5, 3)[/tex]

(-1, 2)  [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] (-1, -2)

[tex](-1, 2) \mapsto (-1, -2)[/tex]

(2, 4)  [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] (2, -4)

[tex](2, 4) \mapsto (2, -4)[/tex]

(6, -1)  [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] (6, 1)

[tex](6, -1) \mapsto (6, 1)[/tex]

Does anyone know this?

Answers

Answer:

I can tell you the points

(6 , 11) and (-7 , -11)

Step-by-step explanation:

The correlation coefficient between class attendance and number of problems missed on an exam is –0.77. Which statement regarding this finding is correct?

Answers

Answer: If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.

Step-by-step explanation:

Given: The correlation coefficient between class attendance and number of problems missed on an exam is –0.77.

When correlation coefficient is negative it means negatively correlation.

i.e. If independent variable increases dependent variable decreases or vice-versa

Also, its absolute value is larger than 0.7 it means it indicates a strong correlation.

Variables

Independent: class attendance

Dependent: problems missed on an exam

So by correlation coefficient , correct interpretation would be:

Student with high class attendance is less likely to miss problem on an exam.

i.e. If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.

use the formula V=6s2 to find the surface area of a cube with the sides of length a = 1/3 cm

Answers

Answer:

[tex]V = \frac{2}{3} cm^2[/tex]

Step-by-step explanation:

Given

[tex]V = 6s^2[/tex]

Required

Find the surface area when the length is [tex]\frac{1}{3}\ cm[/tex]

To do this, we simply substitute [tex]\frac{1}{3}\ cm[/tex] for s in the given formula

[tex]V = 6s^2[/tex] becomes

[tex]V = 6 * \frac{1}{3}^2[/tex]

[tex]V = 6 * \frac{1}{3} * \frac{1}{3}[/tex]

Combine Fractions

[tex]V = \frac{6 * 1 * 1}{3 * 3}[/tex]

[tex]V = \frac{6}{9}[/tex]

Simplify Fraction

[tex]V = \frac{2}{3} cm^2[/tex]


HELP can someone know this. It’s just about integers

Answers

I'll do the first two to get you started.

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

Problem 1

Answer:  0-7+11 = 4

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

Explanation:

The bottom arrow is where we start. Specifically at 0 on the number line.

Then we move 7 units to the left. This is represented by -7 on the number line. So -7 is part of the addition equation.

Then we move 11 units to the right to arrive at 4 on the number line. This is the same as adding 11 to -7 to get -7+11 = 4 and that is the same as 0-7+11 = 4

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

Problem 2

Answer:  1 + (-5) + 9 = 5

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

Explanation:

We now start at 1 on the number line. Move 5 units to the left to get to -4

Moving 5 units to the left is the same as subtracting 5, or adding on -5

So far we have 1 + (-5) which simplifies to -4

The last thing we do is add on 9 to go from -4 to 5. In other words, we move 9 units to the right when we go from -4 to 5

In terms of an equation,  -4 + 9 = 5

So overall, that's how I got 1 + (-5) + 9 = 5

What is the total number of common tangents that can be drawn to the circles

Answers

Answer:

A. 0

Step-by-step explanation:

The circles are concentric. I.e there is no point where the circumferences of both circles ever touch each other. Hence there can be no tangent line possible that can be common to both circles at the same time.

-1/2 ÷ 2(9+3)-4 - 3/4 (8)
,​

Answers

Answer:

[tex]-\frac{1}{28}[/tex]

Step-by-step explanation:

-1/2 ÷ 2(9+3)-4 - 3/4(8)

-0.5 ÷ 2(12)-4 - 3/4(8)

-0.5 ÷ 2(12)-4 - 6

-0.5 ÷ 24-4 - 6

-0.5 ÷ 14 = [tex]-\frac{1}{28}[/tex]

Determine what type(s) of angles are described by the following angle measures. Two angles measuring pi/8 and 7pi/8 radians.

Answers

Answer:

Hey there!

These would also be acute angles.

Let me know if this helps :)

a.
Write this expression 5x5x5x5 using
exponent.

Answers

Answer:

5^4

Step-by-step explanation:

i cant really explain except a power means you time that number that many times so so 5 to the 4th power

Answer:

[tex]5^4\\[/tex]

Step-by-step explanation:

Recall that exponents are a convention used to simplify the writing of expressions that involve the multiplication of a repeated factor by using as the base of the exponent the factor that is multiplied, and for the exponent the number of times the actor appears:

[tex]a\,*\,a\,*\,a\,*\,a=a^4[/tex]

so in your case, the base (repeated factor) is 5, and the exponent (number of appearances of the factor 5 is 4:

[tex]5*5*5*5=5^4[/tex]

Factorise the following expression using grouping and use binomial products to simplify.

11x - 55 - 5a + ax

Answers

Answer:

11x-55-5a+ax

11(x-5)+a(x-5)

(11+a)(x-5)

Step-by-step explanation:

First you factor out the common factors

for(11x-55) is would be 11 as both of these figures are the multiple of 11

for(ax-5a) the common factor is a which will be factor out

Then after doing the process you will get

11(x-5)+a(x-5)

then factor out(x-5)which will give you

(11+a)(x-5)

Answer:

Answer is below. I have grouped it.

Step-by-step explanation:

=(11x-55) + (-5a+ax)

=11 ( x - 5) +a ( -5+x)

= 11(x-5)+a(x-5)

(11+a)(x-5)

(x-5)(11+a)

Does anyone know what the equation would be

Answers

equation: 7b=4 (b+30)

Evaluate 12n, if n=9

Answers

Answer:

108

Step-by-step explanation:

if n = 9

Then 12 times n equals 108

108

Answer Explanation:

I need help ASAP
Integrated math II

Answers

Answer:

[tex] \boxed{ \bold{ \sf{x = 16}}}[/tex]

[tex] \boxed{ \bold{ \sf{m < AFD = 82}}}[/tex]

Step-by-step explanation:

[tex] \sf{5x + 18 = 3x + 50}[/tex]

( Being vertically opposite angles)

Vertically opposite angles are always equal.

Move variable to L.H.S and change it's sign

Similarly, Move constant to R.H.S and change it's sign

⇒[tex] \sf{5x - 3x = 50 - 18}[/tex]

Collect like terms

⇒[tex] \sf{2x = 50 - 18}[/tex]

Subtract 18 from 50

⇒[tex] \sf{2x = 32}[/tex]

Divide both sides of the equation by 2

⇒[tex] \sf{ \frac{2x}{2} = \frac{32}{2} }[/tex]

Calculate

⇒[tex] \sf{x = 16}[/tex]

The value of x is 16

Now, let's find value of m<AFD :

[tex] \sf{m < afd + 5x + 18 = 180}[/tex] ( sum of angle in straight line )

plug the value of x

⇒[tex] \sf{m < AFD + 5 \times 16 + 18 = 180}[/tex]

Multiply the numbers

⇒[tex] \sf{m < AFD + 80 + 18 = 180}[/tex]

Add the numbers

⇒[tex] \sf{m < AFD + 98 = 180}[/tex]

Move constant to R.H.S and change it's sign

⇒[tex] \sf{m < AFD = 180 - 98}[/tex]

Subtract 98 from 180

⇒[tex] \sf{m < AFD = 82}[/tex]

Value of m<AFD = 82

Hope I helped!

Best regards!!

What is the difference between 4.5 and - 3.75

Answers

Answer:

.75

Step-by-step explanation:

an Airbus A380 has 1 first class section 1 business class section and 4 economy class sections

the first class section has 14 seats. 6/7 are being used.

the business class section has 64 seats. 7/16 are being used.

each economy class section has 117 seats. 7/13 in each section are being used.

are more than half the seats on the plane being used you must show your working out. ​

Answers

Answer:

Yes, more than half are being used.  (292 out of 546 used)

Step-by-step explanation:

The first part of this problem is to determine the total amount of seats on the plane so we can determine what half of the seats would be.

1st class has 14 seats.

Business-class has 64 seats.

And the 4 economy classes have 117 each, meaning 117 * 4 = 468

So the total amount of seats are 14 + 64 + 468 = 546

So half that amount would be 273.

Now we can determine the number of seats being used.

1st class has (6/7) * 14 = 12 seats used

Buisness-class has (7/16) * 64 = 28 seats being used

Economy has 4 * (7/13) * 117 = 4 * 63 = 252 seats being used

So the total amount of used seats would be 12 + 28 + 252 = 292.

Note that 292 is greater than 273, so there is indeed more than half the seats on the plane being used.

Cheers.

solve 5(2+n)=3(n+6)
it’s for my AQR class

Answers

Answer:

n = 4

Step-by-step explanation:

We can expand, getting 10 + 5n = 3n + 18.

Then, combine all like terms, getting 5n - 3n = 18 - 10, which can be rewritten as 2n = 8.

Solve this by dividing both sides by 2, and get n = 4.

Answer: so its n=4

Step-by-step explanation:   This problem will require distribution

5(2+n) = 3(n+6)

10+5n=3n+18

Move all the variables on one side

5n-3n=18-10

2n=8

Divide by 2

n=4

5 ( 2 + n ) = 3 ( n + 6 )

First distribute the 5 and the 3. By doing that, your equation should look like

10 + 5n = 3n + 18 Now, subtract 3n from both sides, this way all the " n " would be on the same side making it easier to solve

By subtracting 3n from both sides the equation would be

10 + 2n = 18 Now subtract 10 from both sides

By subtracting 10 from both sides your equation should be

2n = 8 Divide 2 from both sides

By dividing your equation should look like

n = 4 which is your answer

In a small town, 68% of the people I need television, 72% owned radio, 12% owned neither television nor radio
Represent the information on a Venn diagram
What percentage of the population owned television only?

Answers

Answer:

The total of people is the 100%.

68% owns a tv.

72% owns radios.

12% does not own anything.

Now, if we add those, we have:

12% + 68% + 72% = 152%.

This is larger than the 100%, then this means that there is a percentage of people that have both Tv and Radio, this percentage is:

152% - 100% = 52%

We have a surpass because we are adding those 52% two times (because they belong in two different groups)

So, the table is:

68% owns a tv.

72% owns a radio.

12% does not own anything.

52% owns both, radio and tv.

68% - 52% = 16% owns only tv.

72% - 52% = 20% owns only radio.

Then the Venn diagram consist in two circles, one with the 72%, other with the 68%, in such way that the circles have an intersection of the 52%.

This is for Algebra 2 I’m stuck I don’t know if I’m right please help

Answers

Answer:

y=a|x-h|+k  (absolute value function)

a= 3/5  (a easier way to know is it is somehow basically the slope of the line but it must be positive.)

h= -3 (you are correct)

k= -1 (you are correct)

GEOMETRY!! SOMEBODY PLEASE HELP ME ON THIS ITS URGENT! I NEED TO COMPLETE THE DILATIONS

Answers

im not going to give u the answer but all you do is

step by step :

#1. D2- (-6*2),(0*2)=(-12,0)

(3*2), (-9*2)= (6,-18)

(12*2),(4*2)=( 24,8)

Mary has planned to save 25% of her weekly earning in savings account. She uses double number line as shown below to determine how much money she will save if she is earns $700 per week.

Answers

Answer:

$175 per week

Step-by-step explanation:

In this problem we are expected to calculate the amount Mary will save per week based on her 25% plan on her weekly earning of $700

hence we have to calculate 25% of $700 and that will be the answer to the problem

we have

weekly savings = (25/100)*700

weekly savings = 0.25*700

weekly savings= $175

Hence Mary will save $175 per week if she follows the  25% plan  of her weekly earnings

Crystal Can Ride her Bike
10 miles
in 21 hours. What is her
velocity ?

Answers

Answer:

Step-by-step explanation:

10 miles isn't very far in 21 hours are those numbers correct?

Velocity is distance/time

10/21 =.476 mph

Evaluate the expression 2(2-y)-x When y = 8 and x = -3, what is the value of the expression?​

Answers

Answer:

-9

Step-by-step explanation:

y = 8

x = -3

2(2-y)-x =                       ⇒ replace x and y with their values2(2 - 8) - (-3) =               ⇒ solve parenthesis2(-6) + 3 =                      ⇒ multiply-12 + 3=                          ⇒ add- 9                                   ⇒ answer

Answer:

Your answer will be (-9)

This is how I got my answer-

2(2-y)-x

2(2-8)-(-3)

2 - 8= (-6)

2 × (-6) = (-12)

(-12) - (-3) = (-9)

Determine the standard form of the equation of the line that passes through (-7, 8) and (0, 2)

Answers

Answer:

The answer is

[tex]y = - \frac{6}{7} x + 2[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation we must first find the slope

Slope of the points (-7, 8) and (0, 2) is

[tex]m = \frac{2 - 8}{0 + 7} = - \frac{6}{7} [/tex]

After that use the formula

y - y1 = m(x - x1)

To find the equation of the line

Equation of the line using point (0,2) and slope - 6/7 is

[tex]y - 2 = - \frac{6 }{7} (x - 0)[/tex][tex]y - 2 = - \frac{6}{7} x[/tex]

We have the final answer as

[tex]y = - \frac{ 6}{7} x + 2[/tex]

Hope this helps you

Natalia bought 8 glitter wands for $50. Determine whether or not each wand purchase below has the same price per wand as glitter wands.

Answers

Answer:

Sparkle wands:  NO

Fairy wands:  YES

Glass wands:  NO

Step-by-step explanation:

To find the price per glitter wand, you have to divide the price of the wands by the amount of wands you have.

$50/8 = $6.25

Divide the price of the wands by the amount you get.

Sparkle wands:  $20/4 = $5

Fairy wands:  $37.50/6 = $6.25

Glass wands:  $65/10 = $6.50

The sparkle wands and the glass wands do not have the same price per wand as glitter wands.

The fairy wands have the same price per wand as glitter wands.

Answer:

Glow wands = no

Fairy Wands= yes

Sparkle Wands = No

Step-by-step explanation:

Khanacademy

Trust

Please help me with this immediately!!!

Answers

Answer:

900

Step-by-step explanation:

45x20=900

maybe be the answer i really don't know, i'm sorry.

Other Questions
in what ways are protests a testing ground for democracy? Describe a time when you struggled to build a relationship with someone important. How did you eventually overcome that The term electron capture best fits which of the following descriptions? A. Electron capture is a phenomenon exhibited by an unstable nucleon that spontaneously converts into a more stable nuclei. B. Electron capture is the combination of a core electron with a proton to yield a neutron within the nucleus. C. Electron capture is the addition of an electron to a neutral atom to form an anion. D. None of the above. Assume that the multiplier in the Chinese economy is 3 and autonomous investment expenditures increase by $100. The Chinese government has a budget deficit of $100 and the income tax rate is 30 percent. The increase in autonomous investment expenditures will: A. increase equilibrium income by $300 and cause the budget deficit to decrease by $90. B. increase equilibrium income by $300 and cause the budget deficit to decrease by $100. C. increase equilibrium income by $300 and cause the budget deficit to increase by $100. D. increase equilibrium income by $300 and cause the budget deficit to increase by $90. Because their posters were so popular, Ms. Ironperson and Mr. Thoro decided to hold a class on how to make a super hero capes. Tickets were sold to cover the costs of the materials for each cape. The admission fee for children was $2.00 and $4.50 for adults. 3250 people showed up and $9625 was collected. How many adults and children attended the class?If x denotes the number of children and y denotes the number of adults, what are the equations needed to solve this problem? Electronics Company A is recognized as the world leader in the production of radios. Theycontrol more than 75% of the radio market, but the market is slowly shrinking. The company alsomakes several high-quality audio products, including CD players. The market for CD players isgrowing, and currently the company cannot make enough to meet the demand. What choiceshould the company make? What is the opportunity cost? Explain your reasoning, write a letter to your friend in another school there him or her four problem your school is facing Financing options for post-secondary education: aAre limited for many students across the country. bInclude scholarships, grants, student loans, and work study. cAre very expensive and outweigh the value of the education attained. Patrick has assets that total $9,500. His liabilities total $1,900. Which expression will find Patricks net worth? The ____ act allowed the us to send weapons to Britain if Britain promised to return them or pay rent for them when the war ended A) NyeB) Neutrality act of 1935C) Lend-LeaseD) destroyers-for-bases a manager of a clothing store always orders 2 small shirts and 3 large shirts for every 4 medium shirts ordered. the manager plans to order 24 medium shirts. How many small shirts and large shirts will the manager order? Show you work. Some traits, such as the color of your eyes and the shape of your nose, are controlled by___ and may affect your health and well-being. "An investor that has been unaffiliated with the issuer for at least 3 months is permitted to sell restricted shares under Rule 144 without being subject to the volume restrictions, after having held the shares for:" I was born in the month of February, what is the probability that I was born in a non-Leap year) beforeValentine's Day? 2. Apples cost $0.99 per pound. Aaliyah has acoupon for $0.50 off her purchase. She paysa total of $2.14 for apples. Let a representthe pounds of apples that Aaliyah buys.Equation:Solve it to find how many pounds of apples she purchased.Type hereSolve the equation and write the equation what is x equal to: 3x=1 Which of the following careers is most likely to require business skills? Given P=0.15M +20. Is P a function of M? explain your choice using the definition of a function Answer it answer it answer it How many significant digits are there in the product of 0.005 and 25.725?