(8^4)(6^3)(16^-2)÷32

Answers

Answer 1

Answer:

108

Step-by-step explanation:

8^4 = 4096

6^3 = 216

16^-2 = 0.00390625

4096x216x0.00390625 = 3456

3456/32 = 108

Answer 2

Answer:

(3/2)^3

Step-by-step explanation:

The trick here is to identify the common base (it is 2) and express all factors except for 3^2 as powers of 2 that can be added or subtracted.

Note that 8 = 2^3, 6 = 2 * 3, 16 = 2^4 and 32 = 2^5.  Using this info, we can immediately begin reducing the given expression:

                                         (2^3)(2^3)(3^3)        2^6*3^3             3^3

(8^4)(6^3)(16^-2)÷32  =>  ----------------------- = ----------------  =  --------------

                                          2^4*2^5                 2^9                   2^3                                      

                                           

                                                                                               = (3/2)^3


Related Questions

Sort of confused me, not really good with graphs so please help! :)

Answers

Answer:

Step-by-step explanation:

okay on your garph look at the line with the negative numbers and the line with positive numbers. Once you spot them, start with ploting (-8,0) fined -8 and make sure you also fined 0 on the positive line. You have to connect the line to make sure -8 and 0 are on the same line. Then do the same for 0,6 but both are on the positive line so it won't be hard

justin purchased n notebook. they were 4 dollars each. write and equation to represent the total cost c that Justin paid.

Answers

Answer:

c=4n

Step-by-step explanation:

hope this helps

The diagram shows a circle inside a square.
a
16 cm
Work out the area of the circle.

Answers

Answer 234

hope helped

Come up with your own system to measure angles. What would you call your unit of measure and how would it work. Describe your system and give some examples of typical angle measures like the corner of a room or a slice of pizza.

Answers

Answer:

You can try a picture memory method to help students

An example write down notes of what the triangle laws are for angles.

Then interpret them into your picture measurement theory.

Example could be the perpendicular measures of a right angle can be used

to find an area would be the M but as we are finding angles we could use the Big A instead of degrees sign.

We could provide pictures of cars to represent trigonometry

Where back wheels opposite angles and sides from slant are both the unit measure used in  Side/sin( A) x sin (B)   so this way you label the car wheel angle above of the square boot 'side on' and this angle is A

The B is the one above it linking the slant to find the other measure.

You are asked to design a theme around measuring angles so you need to look at other sin cos and tan calculus to design a picture that can create an image like i've given to find slant.

You need to one that finds angles.

However if you do find a car can help you can always call it square boot as in square root, considering 2/3 of sin cos and tan are square root measures.

Step-by-step explanation:

See the attached ideas and trigonometry

Picture memory Trigonometry

Picture 1. Sunrise Ah side looks for side measure.

The number above is the hypotenuse

A/H = cos ( ) x hyp =base A/H = cos ( ) x hyp = side

Picture 2.Sunrise Soh looks for side measure.

The number above it is the hypotenuse

O/H = sin ( ) =p (for product) take the p x hyp.

Picture 3 Sunrise Toast (Toa) looks for side measure = O/A

Tan ( lower angle ) x base = side

Picture 4 Side of car (Soh) with window as hypotenuse.

Two wheels are the 2 angles given and the back seat is perpendicular to both wheels =

so the triangle structure looks like this /00|7

so you type in 7/sin ( 1st wheel) x (2nd wheel) = hypotenuse.

Both angles given or worked out this is when this is used.

Picture 5 Electric mast looking for slope SIN =S/P = O/A

Angle at top

We have the side at 70 and looking for the slope

Sin( top angle) = p then side/p = hyp

Picture 6

Top angle and base given creates a T this means half both of them before dividing.

To find hypotenuse

Half = 1/2 base / sin (1/2) = hypotenuse

Picture 7

Top angle and base given creates a T this means half both of them before dividing.

To find height =

Half = 1/2 base /Tan 1/2) = Triangle height.

Key checker after pictures are drawn is;

sunrise = low angle x side or low angle x base = hypotenuse.

car = backseat x wheels = hypotenuse always remember when car on side the first

wheel first, second wheel 2nd first in the calculator. The wheels are the 2 angles that

make the car when flipped.

Half = 1/2 base / sin (1/2) = hypotenuse

Half = 1/2 base / tan (1/2) = height

Just take care with top angle and lower angle key words in the drawing descriptions and then the pictures will help.

There are 20 cars competing in a race. In how many ways can the cars be awarded first, second, and third place?

826,880
6,840
1140
51,680

Please help me!

Answers

Answer:

6,840

Step-by-step explanation:

The total number of possible ways in which the position can be awarded are 1140.

What is the formula to expand the combination function f(n, r) = C(n, r)?

We can write the combination expansion formula as -

f(n, r) = C(n, r) = n!/(n - r)!r!

Given is that there are 20 cars competing in a race. We have to find in how many possible ways can the cars be awarded first, second, and third place.

Total number of cars = {n} = 20

Total number of positions = {r} = 3

Total number of ways in which the position can be awarded -

C(20, 3) = 20!/(20 - 3)!3!

C(20, 3) = 20!/17!3!

C(20, 3) = (20 x 19 x 18 x 17!)/(17! x 3 x 2)

C(20, 3) = (20 x 19 x 18)/6

C(20, 3) = 20 x 19 x 3

C(20, 3) = 1140

Therefore, the total number of possible ways in which the position can be awarded are 1140.

To solve more questions on permutation & combination, visit the link below-

https://brainly.com/question/30649574

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Please help! I need help on this and it's due today!!! Help help help!

Answers

Answer:

20 feet

Step-by-step explanation:

Answer:

20 more feet

Step-by-step explanation:

|-20| = 20 more feet

Can some one help me with 27?

Answers

Answer:

11.8

Step-by-step explanation:

Maybe D but I’m not sure

Find the interquartile range (IQR) in the data plot below. I WILL GIVE THE BRAINIESTTO THE RIGHT ANSWER!!!

Answers

Answer:

3.5

Step-by-step explanation:

0 1 1 3 3 3 4 5 7

median= 3

Q1= 1

Q3= 4.5

4.5-1= 3.5

Answer: 11...

If wrong I am soooo sorry

The container that hold water for the football team is 1/2 full. After poring 9 gallons of water , it is 5/6 full. How many gallons can the container hold?

Answers

Answer:

24 or 18 gallons

Step-by-step explanation:

Answer:

18 gallons. I think.

Construct a stem-and-leaf plot listing the scores below in order from lowest to highest.

14, 10, 22, 27, 35, 39, 53​​

Answers

1 | 0 4
2 | 2 7
3 | 5 9
5 | 3

(7 x 10^5) divide (2 x 10^2)

Answers

Answer:

3.5 ⋅ 10^3

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

(7 x 10^5) divide (2 x 10^2)

(7 x 100000) divide (2 x 100)

700000 divide 200

500

What is the volume of a hemisphere with a radius of 9.2 cm, rounded to the nearest tenth of a cubic centimeter?

Answers

Answer:

volume of the hemisphere   ≈1577.5 cm³

Step-by-step explanation:

To find the formula for calculating the volume of a hemisphere, we will follow the steps below:

write the formula for calculating the volume of a hemisphere.

volume of a hemisphere = volume of a sphere ÷2

                                        = [tex]\frac{4}{3}[/tex]πr³   ÷   2

                                        =[tex]\frac{2}{3}[/tex] πr³

WHERE r is the radius

from the question given, radius= 9.2 cm  

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the equation

volume of a hemisphere =  [tex]\frac{2}{3}[/tex] πr³

                                          = [tex]\frac{2}{3}[/tex] × 3.14 ×9.2³

                                           = [tex]\frac{2}{3}[/tex] × 3.14 ×753.571

                                          ≈1577.5 cm³   to the nearest tenth of cubic centimeter

volume of the hemisphere   ≈1577.5 cm³

 

Answer:

3261.8

Step-by-step explanation:

someone please help on this questions and I will mark as brainelist if it is correct

Answers

Answer: 45 degrees

Step-by-step explanation:

It’s a square so every corner is 90 but it bangs to know half of it which is 45

Which number is written in scientific notation?

A. 4.5 x 10^-3
B. 14.5 x 10^2
C. 0.78 x 10^-6
D. 5.7 x 4^8

Answers

Answer:

B hope this helped:) (please tell me if it was right or wrong)

Pleaseee helppppp!!!
A rectangular prism has a length of 3 m, a width of 4 m, and a height of 2 m.
Which expressions can be used to find the volume of the prism?
Select each correct answer
3.4.2
2( 3 / +44)
(15.2)
153.2

Answers

Answer:

The first one and the last

Step-by-step explanation:

Answer:

3[tex]\frac{1}{2}[/tex] . 4[tex]\frac{1}{2}[/tex] . 215[tex]\frac{3}{4}[/tex] . 2

Step-by-step explanation:-)

Volume of a Rectangular prism :

                                                     Volume=Width×Height×Length

                                                     Volume=    3[tex]\frac{1}{2}[/tex]  ×     4[tex]\frac{1}{2}[/tex]   ×  2

A point lies on the line y = 3x - 2
Its x-coordinate is 4
Write down the coordinates of this point.

Answers

Answer:

(4, 10)

Step-by-step explanation:

It gives the x coordinate of 4. The y coordinate is found when you plug the x value into the equation. This makes it y = 3(4) - 2. This equals y = 10. So the y coordinate is 10

Answer:

the coordinates are (4,10)

Step-by-step explanation:

y = 3(4) - 2

y = 10

x = 4

Hours Spent Studying
Students were asked how many hours during the
weekend they studied for a Monday exam. Each row of
the table represents one sample from the class. Find
the mean of each sample.
11
8
9
4.
6
CO
6
N
Mean of samples in row 1:
14
0
3
7
Mean of samples in row 2:
6
4.
6
N
Mean of samples in row 3:
Mean of samples in row 4:

hellppp

Answers

Answer:

the answer is

mean of samples in row 1: 8

Mean of samples in row 2:  5

Mean of samples in row 3:  6

Mean of samples in row 4:   4

Answer:

Mean of samples in row 1:  

✔ 8

Mean of samples in row 2:  

✔ 5

Mean of samples in row 3:  

✔ 6

Mean of samples in row 4:  

✔ 4

Shen picks a rational number. What is true about the opposite of his number?

Answers

Answer:

It is the same distance from 0 as the original number

a rational number is any number that can be written as a fraction.

lets say she picked 1/4...the opposite would be -1/4...both are equidistant from 0.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Opposite:  Shen's number changes sign, e. g., -2 to +2.

If you meant "reciprocal," then you must ensure that the denominator of the 'new' number is never zero.  3/5  =>  5/3 is ok.   But x/6  = 6/x is OK ONLY for x not equal to zero.

what is the solution of...

Answers

The answer is for sure A.

helpppppp me im stupid

Answers

Answer:

c

Step-by-step explanation:

Answer:

270,000

Step-by-step explanation:

That is the answer

Please answer CORRECTLY !!!!!!!!! Will mark brainliest !!!!!!!!!!

Answers

-4x -6 = -5y + 2
5y = 4x + 6 + 2
5y = 4x + 8
Y = g(x) = 4/5x + 8/5

F and H are sets of real numbers defined as follows.

F={w | w>3}

H={w | w>6}

Write FUH and Fn H using interval notation.

If the set is empty, write Ø.

Answers

Answer:

[tex](a)F \cup H=(3, \infty)\\(b)F \cap H=(6, \infty)[/tex]

Step-by-step explanation:

Given the sets F and H of real numbers defined as given:

F={w | w>3}

H={w | w>6}

To write a set in interval  notation, we use these brackets, (  ) for < or > while we use [ or ] for [tex]\leq $ or \geq[/tex].

Since our sets are defined by strict inequalities(< or >)

In interval notation

[tex]F=(3,\infty), H=(6,\infty)[/tex]

[tex](a) F \cup H =(3,\infty) \cup (6,\infty) \\\\F \cup H=(3, \infty)\\\\(b) F \cap H =(3,\infty) \cap (6,\infty) \\\\F \cap H=(6, \infty)[/tex]

Select ALL the correct answers.
Consider the following graph of function f.
Which transformations will change function f into function g given below.

Answers

Answer:

2nd and 6th options

Step-by-step explanation:

y = |x+4| - 4 has a vertex of (-4, -4), and the vertex of the given graph is (3, 1). The shift between the first and second points given is 7 units to the left (6) and 5 units down (2)

The transformation that will change from f to g will be

the verical shift down 5 unitsthe horizontal shift left 7 units

What is corner of a function?

Corner point of a function is the point where continuous function will not be differentiable.

here the function in the graph has the corner point at (3,1).

so now we have to transform the function f to function g where

g(x)= |x+4|-4

in the function g(x) the corner point will be the point where the value changes sudddenly.

so the corner point will be x+4=0

⇒x=-4

at x=-4, the value of the g(x)=|-4+4|-4=-4

so the corner point of function g will be (-4,-4).

Now the corner point of function f is (3,1).

Therefore to trnsform function f to g we have to first displace (3,1) to (-4,-4).

in x direction the displacement will be = -4-3 =-7 i.e.  horizontal shift left 7 units

in y direction the displacement will be =-4-1=-5 i.e. verical shift down 5 units

Therefore the transformation that will change from f to g will be

the verical shift down 5 unitsthe horizontal shift left 7 units

Learn more about corner point

here: https://brainly.com/question/12977428

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Need help with this question thank you

Answers

I'm pretty sure it's A and D

What is the equation of the linear function ?

Answers

Answer:

B: -1/2x +3

Step-by-step explanation:

the graph is up 3 units, making the +3. Rise/run to determine slope. it rises 1 unit for every 2 units it runs. i

Justin rolled a number cube 48 times. The cube landed on the number six
4 times. Is the experimental probability greater than or less than the
theoretical probability? Explain.

Answers

Answer:

Dam emily really got the answer tho-

Step-by-step explanation:

Because i made a random acc and typed in this  to get the answer

Terry had $6.20. He then paid for his lunch with 3 quarters, 6 dimes and 9 nickels. How much money does he have now?​

Answers

He has $4.40, the quarters, nickels, and dimes added up to $1.80, subtract that from $6.20 and you get $4.40

I will mark as BRAINLIEST ​

Answers

Answer:

the answer will be k^3

Step-by-step explanation:

What’s the area of the triangle for this question

Answers

Answer:

75

Step-by-step explanation:

to find the area of a triangle, multiply the base by the height, and then divide by 2. the division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. for example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.

Answer:

75

Step-by-step explanation:

The formula is hb/2

What is 3 120/10 simpfly to

Answers

Answer:

15

Step-by-step explanation:

3 120/10

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