What is the value of the expression

Step-by-step explanation:

4⁵ × 4^-7 / 4^-2

it is important to understand that a negative exponent means 1/...

a^-n = 1/(a^n)

in that sense we have therefore

4⁵ × 1/4⁷ × 4² (as (1/ 1/a^n) = a^n)

4⁵ × 4² × 1/4⁷ = 4⁷ × 1/4⁷ = 1

so, "1" is the fully simplified expression equal to the original expression.

Answer:

Step-by-step explanation:

To write fractions with a common denominator, you will most likely need to scale some numbers up! I will explain how.

Let's try it with the fractions

2

3

and

3

12

12 is larger than 3, so we will have to multiply the 3 by some number to equal 12. (We are really finding the Least Common Multiple of the two denominators!) To do this, you have to multiply the 3 by 4, because 3x4=12. But now the numerator doesn't match the denominator. When you scale the denominator up, you have to scale the numerator up too! So the 2 must be multiplied by 4 also.

Now you have the following:

8

12

and

3

12

These fractions now have common denominators! Now they're all set for adding or subtracting fractions.

Try another:

2

6

and

3

5

: The least common multiple of 6 and 5 is 30. (the product of the denominators)

Transform each fraction by multiplying by "1":

2

6

⋅

5

5

=

10

30

and

3

5

⋅

6

6

=

18

30

One last problem:

4

9

and

7

6

What is the least common multiple of 9 and 6? Could you use 54? Absolutely, but it is not the LEAST number that you could use. How about 18? YES!

4

9

⋅

2

2

=

8

18

and

7

6

⋅

3

3

=

21

18

Ready to go...

Hope this helped!

The description of the intersection of plane A and plane B is line CD

From the question (see attachment for the diagram of both planes), we have the following highlights

Both planes meet at the line that joins points C and D.

Hence, the description of the intersection of plane A and plane B is line CD

Read more about planes and lines at:

https://brainly.com/question/13099718

Answer:

The first answer, CD, is correct.

Edg, 2023

Answer:

the correct answer is supposed to be 120, your almost there :)

Step-by-step explanation:

Answer:

5x+15

Step-by-step explanation:

you mulityply 5*x and 5*3

Answer:

Yes

Step-by-step explanation:

5^2 + 5^2 = c^2

25 + 25 = c^2

50 = c^2

[tex]\sqrt{50}[/tex] = c

[tex]\sqrt{50}[/tex] = 5[tex]\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

no, it is an acute isosceles triangle

(5√2 = 7.01)

Answer:

Yes

Domain: 1, -1, 0, -3, 3

Range: 1, -1, 6

Step-by-step explanation:

The domain is in the left oval, the range is in the right oval. To find if its a function you have to make sure the domain (left side) doesn't "cheat". One number in the domain cant have more than one number in the range (right side), BUT (for future reference) the range can cheat. As shown, the right side numbers 1 and 6 have two different arrow pointed at them. As long as the domain doesnt "cheat" it is a function

Answer:

V = 87.92 cubic cm

Step-by-step explanation:

V(cyl) = πr²h

V = 3.14(2²)(7)

V = 87.92

The answer is 6 per team with 2 left over, as (6 x 3) + 2 = 20

I thought of the largest amount that could be multiplied by 3, but the product would be less or equal to 20, that's how I got 6.

Then to find the left over remaining balls that are given out I subtracted 20-18 = 2.

Answer:

Percentage of one lap around the track of

the total race = 0.25%

It will take 300 laps to complete 75% of the race.

Step-by-step explanation:

1.2/480=0.0025

0.0025*100=0.25

480/100*75= 360

360/1.2=300

Answer

55$

Step-by-step explanation:

Answer:

The Principle of Zero Products states that if the product of two numbers is 0, then at least one of the factors is 0.

Step-by-step explanation:

Answer:

when using the zero product rule you know at least one of the factors must equal 0 because and most places anything that is put with zero equal zero because zero have no value

Step-by-step explanation:

Answer: No, this relation is not a function.

Step-by-step explanation:

Two of the points with the same Y axis have different X values (as stated in answer A)

Answer:

3 + 21 = 24 and they are the product to the factors of 63

Step-by-step explanation:

Answer:

AYYYYY GET IT !!!!

Step-by-step explanation:

Answer:

put in the work put in the hour and take what's ours

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

3:1=6:2

They buy 2 pepperoni pizzas.

Answer:

The first option so [tex](3\frac{1}{2}, -4)[/tex] is the answer

Skills required: Graphing Knowledge, Systems Knowledge

Step-by-step explanation:

1) The solution to any system is the intersection between any 2 lines or functions. In this case, we are given two functions on a graph, and need to find the solution to them. That is the intersection.

2) We can see the intersection and see that the x-axis value for the coordinate point is around 3 1/2 (or 3.5 -- whatever you prefer), and that the y-axis value for the point is -4.

Therefore, the coordinate point is: [tex](3\frac{1}{2}, -4)[/tex] since this answer best matches the coordinate values of that point.

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

Select the first option, have a nice day! :D

The equivalent equations of [tex]2x+ 4y = 14[/tex] and [tex]4x + y = 20[/tex]

are [tex]2x+ 4y = 14[/tex] and[tex]-16x -4y = -80[/tex]

The system of equations is given as:

[tex]2x+ 4y = 14[/tex]

[tex]4x + y = 20[/tex]

Multiply both sides of the equations by -4.

So, we have:

[tex]-4 \times (4x + y) = -4 \times 20[/tex]

Distribute the expression

[tex]-4 \times 4x -4 \times y = -4 \times 20[/tex]

Evaluate all products

[tex]-16x -4y = -80[/tex]

So, we have the following system of equations

[tex]2x+ 4y = 14[/tex]

[tex]-16x -4y = -80[/tex]

Hence, the equivalent equations are [tex]2x+ 4y = 14[/tex] and[tex]-16x -4y = -80[/tex]

Read more about equivalent equations at:

https://brainly.com/question/9603710

Rearrange the equation by writing

x² + x - 90 = 0

x² + x = 90

x² + x + 1/4 = 90 + 1/4

Recall that (a + b)² = a² + 2ab + b². Then

x² + 2 • x/2 + (1/2)² = 361/4

(x + 1/2)² = 361/4

x + 1/2 = ± √(361/4)

x = -1/2 ± 19/2

x = 9   or   x = -10

hope this helps. leave a comment if you have a question.

Hello there!

[tex]( - 12x) ÷ ( - 2)[/tex]

This is an algebraic expression.We need to find the result of it.

[tex]\sf \longmapsto (- 12x) \div ( - 2)[/tex]

This algebraic expression may be rewritten as:-

[tex]\sf \longmapsto \: \dfrac{ - 12x}{2} [/tex]

Cancel the minus (-) sign:-

[tex]\sf \longmapsto \dfrac{ \cancel - 12x}{ \cancel - 2} [/tex]

Then,cancel 12 and 2 by 2, 12 ÷ 2 results 6. (Don't cancel x):-

[tex]\sf \longmapsto \: \dfrac{ \cancel {12}x}{ \cancel{2}} [/tex]

[tex]\sf \longmapsto6x[/tex]

Option A

______________________________________

Henceforth the value of the algebraic expression is:

[tex]\boxed{\boxed{\displaystyle \huge 6x}}[/tex]

Option A is correct!

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

The atom's place on the table is determined solely by its number of protons

Since the atomic number is equal to the number of protons an element contains, hence we can conclude that the atom's place on the table is determined solely by its number of protons

Learn more about periodic table here;https://brainly.com/question/14514242

Answer:

number of protons

Step-by-step explanation:

Answer:

y = 14x

Step-by-step explanation:

First Way of Finding the Equation:

We can find the equation for this proportional relationship by subtracting two of the y-values from each other and then dividing that by the difference of two of the x-values. For now, I'll use the points (2, 28) and (1, 14).

[tex]\frac{28-14}{2-1} =\frac{14}{1} =14[/tex]

So, this proportional relationship has an equation of y = 14x.

Second Way of Finding the Equation:

Another way of finding the equation is to simply examine the table given. What are all the x-values multiplied by to get to their corresponding y-values? Well, one easy way of answering this question is looking at the point (1, 14) - 1 × 14 = 14, so the constant of proportionality must be 14.

From this information, we know that the equation must be y = 14x.

Hopefully that's helpful! :)

Answer:

1. A

2. C

Step-by-step explanation:

If they are corresponding, so their angle measures are the same. Hope this helps. :)

Answer:

1) 1 and 6

2) 110. these are corresponding angles so they are congruent

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

[tex]r - 1[/tex]

[tex]( - r - 5) - ( - 2r - 4) \\ ( - r - 5) + 2r + 4[/tex]

[tex]( - r - 5) + 2r + 4 \\ - r - 5 + 2r + 4[/tex]

[tex] - 3 \purple{ - 5} + 2r + \purple{4} \\ - r \purple{ - 1} + 2r[/tex]

[tex] \purple{ - r } - 1 + \purple{2r} \\ \purple{1r} - 1[/tex]

[tex]1r - 1 \\ r - 1[/tex]

Hopefully it's help

I copy MissJoy2 answer cuz her/his answer is right

Answer:

its 7

Step-by-step explanation: