Simplify.
Rewrite the expression in the form 4^n.
4^8
4^3

9514 1404 393

Explanation:

In base 10, the digits we use to represent numbers are 0 to 9. Each location in a base-10 number has a place-value. That is, the value of the digit is dependent upon its place in the number.

Any number in base 10 can be written in expanded form like this:

  8765.432

  = 8·10³ +7·10² +6·10¹ +5·10⁰ +4·10⁻¹ +3·10⁻² +2·10⁻³

We hope you recognize that in this form, the place value of a digit is a power of the base, and that those powers increase to the left and decrease to the right. The "units" place has a power of 0.

__

Hexadecimal works the same way. In that base-16 number system, the digits 0-9 and A-F are used. The corresponding decimal values are ...

  A = 10, B = 11, C = 12, D = 13, E = 14, F = 15

As above, an expanded hexadecimal number would use powers of the number system base:

  A73B.16E

  = 10·16³ +7·16² +3·16¹ +11·16⁰ +1·16⁻¹ +6·16⁻² +14·16⁻³ . . . (all numbers decimal)

_____

The method of converting a number from hexadecimal is generally to evaluate the expanded form, as just shown. (The base-10 value of the number shown is 42,811.08935546875.)

There are a number of methods for converting numbers to hexadecimal. For integers, one can work right to left, with each successive digit of the hex number being the remainder from division by 16. The quotient is then used for developing further digits to the left.

Example:

  9243/16 = 577 11/16

  577/16 = 36 1/16

  36/16 = 2 4/16

  9243₁₀ = 241B₁₆

In the above, we have identified the base of the numbers being used with a subscript. If the base is understood, that is unnecessary. (However, it is useful in ambiguous cases.)

__

Some calculators have modes for converting and/or calculating with hexadecimal integers. They are generally limited to 48 bits (12 hex digits) or less. I have not seen any that convert or calculate fractions in non-decimal bases. There may be apps or web products that will do fraction conversion—generally for the purpose of showing you the IEEE-754 representation used internally by digital computers.

Answer:

10) Total Discount = $15 dollars; New Amount = $60 dollars.

11) Total Markup = $3,750 dollars; New Amount = $28,750 dollars.

12a) Percent Increase from $100 to $150: 50% increase.

12b) Percent Decrease from $150 to $100: 33.33% decrease.

Step-by-step explanation:

I would be more than happy to show my work, but I see that you have to submit your test soon, so I will just leave it at this for now. If you need any clarification, I am more than happy to help. Feel free to give me Brainliest if you feel this helped! Have a good day, and good luck on your test. :)

Answer:

Your answer is 14

Step-by-step explanation

56÷4=14

Answer:

the last answer choice is one of them for sure.

Step-by-step explanation:

Line A and F intersects line BC

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

There are a couple of different ways that division of fractions can be done.

1) "invert and multiply"

  [tex]\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\times\dfrac{5}{7}\\\\=\dfrac{14}{7}\times\dfrac{5}{15}=\boxed{\dfrac{2}{3}}[/tex]

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2) use the numerators when the denominators are the same

  [tex]\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\div\dfrac{21}{15}\\\\=\dfrac{14}{21}=\boxed{\dfrac{2}{3}}[/tex]

Answer:

C. x divided by 5 times 5

Answer: A

Step-by-step explanation: X is a variable is does not actually have a value also because 10/2 =5 and that's the same as x 5 or 5 x

Answer:

a

Step-by-step explanation:

Hello!

Find the coordinate where x = -1:

At x = -1, y = 1, so the coordinate is (-1, 1).

Find the coordinate where x = 2:

At x = 2, y = -2, so the coordinate is (2, -2).

Find the rate of change between the points using the slope formula:

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Plug in the coordinates above:

[tex]slope = \frac{-2-1}{2-(-1)}[/tex]

Simplify:

[tex]slope = \frac{-3}{3} = -1[/tex]

Thus, the rate of change between the points is -1.

Answer:

attached below is the solution

Step-by-step explanation:

|x| < 7

= -7 < x < 7

| y | < 3

= -3< y < 3

attached below is the shaded region in the xy-plane

Answer:

Step-by-step explanation:

I'll try

arc = angles of radii endpoints.

angle ROS=arc RS

angle SOT=arc ST

angle TOQ=arc TQ

angles ROS + SOT + TOQ =angle ROQ

angle ROQ=arc RQ

I belive the answer is arc = angles of radii endpoints.

angle ROS=arc RS

angle SOT=arc ST

angle TOQ=arc TQ

angles ROS + SOT + TOQ =angle ROQ

angle ROQ=arc RQ

Answer:

The amount of weeks is your independent variable, or X variable, and the height is you dependents variable.

Step-by-step explanation:

I don't know what this question is about so I'm gonna use plants as an example. The amounts of weeks that you are growing a plant is not dependent on anything. Nothing can cause change to that variable, so it would be your X. The height that your plant has grown DOES depend on how long you've grown it, so the amount of weeks, making it your Y variable.

Answer:

Which of the following sets of possible side lengths forms a right triangle?

6, 12, and 13

9, 40, and 45

12, 35, and 38

Step-by-step explanation:

[tex] \sqrt{ {11}^{2} + {60}^{2} } \\ = \sqrt{121 + 3600} \\ = \sqrt{3721} \\ = \sqrt{ {61}^{2} } \\ = 61[/tex]

Answer:

9 cm

Step-by-step explanation:

Answer:

it is 9 cm because 9 x 8 is 72

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

C is congruent to A

Answer:

19

Step-by-step explanation:

t-7=12

or,t=12+7

or,t=19

Answer:

I would say the answer is 13.5

Step-by-step explanation:

Times 7.5 (hours) and $1.80 (dollars).

The reason why this works:

It is $1.80 per hour so if you multiply it by 7.5 the amount of hours that would make it so you'd get the answer $13.5

Answer:

c) 10 units

The length of side RT of the polygon  RT = 10

Step-by-step explanation:

Step(i):-

Given the coordinates of vertices R and T

R( -7 ,3) and T (3 ,3)

we have to find the length of side RT

We will use distance formula

RT  = [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]

Step(ii):-

RT  [tex]= \sqrt{(3-3)^{2} +(3-(-7))^{2} }[/tex]

[tex]RT = \sqrt{0+(10)^{2} }[/tex]

RT = √100

RT = 10

The length of side RT of the polygon  RT = 10

Answer:

40 cups of lemonade

Step-by-step explanation:

you turn the 1 gallon in to quarts(qt) which would give you 4qt and you add that to the 6qt to get 10qt of lemonade then you turn that in to cups to get 40 cups

Step-by-step explanation:

[tex] - 6x + 3y = 15 [/tex]

[tex]3y = 15 + 6x[/tex]

[tex]y = \frac{15 + 6x}{3} \\ [/tex]

[tex]y = 5 + 2x[/tex]

Answer:

It’s the last one

Step-by-step explanation:

Plz mark me brainliest

Answer:

See proof below

Step-by-step explanation:

If C is the midpoint of AB, then AC = CB

Given

AC=7x−10;

CB=3x+10

Then 7x - 10= 3x+10

Add 10 to both sides

7x-10+10 = 3x +10+10

7x = 3x + 20

7x - 3x   = 10+10

4x = 20

x = 20/4

x = 5

Get AC

AC = 7x - 10

AC= 7(5) - 10

AC = 35-10

AC = 25 (Proved)

Answer: 1010$

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

p=x+y , P=22+10 , P=32

Answer:

4(2h + g)

4h + 4h +3g + g

2(4h + 2g)

Answer:

hey there is a snowman challenge for virtual

Step-by-step explanation:

join challenge at #snowmanchallenge

Answer: 3a + 2c = 73   (last night)

2a + 5c = 89 (last week)

Step-by-step explanation:

Answer:

P= 25 so

25+75= 100

Step-by-step explanation:

100-75

Answer:

P=25

Step-by-step explanation:

P+75=100

  -75  -75

_________

P=25

Student take 7hours30 mins to drive.