Calculate $x^{6} + (y^{2} \div z^3)\cdot w^3$ assuming that $x=2$, $y=3^2$, $z=3$, and $w=4$.
pleeeeeeease help i am struggling

Answers

Answer 1

Answer:

this copy and paste is to hard to read making it impossible to solve sorry.

Step-by-step explanation:

Answer 2

The value of the expression is 256.

What is simplification of an expression?

Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.

For the given situation,

The expression is  $x^{6} + (y^{2} \div z^3)\cdot w^3$

⇒ [tex]x^{6}(\frac{y^{2} }{z^{3} } )(w^{3} )[/tex]

Substitute $x=2$, $y=3^2$ = 9$, $z=3$, and $w=4$,

⇒ [tex]2^{6}(\frac{9^{2} }{3^{3} } )(4^{3} )[/tex]

⇒ [tex]64+(\frac{81}{27} )(64)[/tex]

⇒ [tex]64+(3)(64)[/tex]

⇒ [tex]64+192[/tex]

⇒ [tex]256[/tex]

Hence we can conclude that the value of the expression is 256.

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Related Questions

h - 15 = -22
Help please

Answers

Answer:

-7

Step-by-step explanation:

H - 15 = -22

H= -22+15

H= -7

Value of H is -7

Answer:

- 7

Step-by-step explanation:

h - 15 = - 22

h = 15 - 22

h = - 7

Thus, The value of h is - 7

-TheUnknownScientist

Anyone willing to help? Surprise included

Answers

Answer:

An arithmetic sequence has a constant difference between each term.

For example: 2,4,6,8,10,12,…

We can see clearly that all the terms differ by +2.

We call this the common difference, d.

A geometric sequence has a constant ratio (multiplier) between each term.

An example is: 2,4,8,16,32,…

So to find the next term in the sequence we would multiply the previous term by 2.

This is called the common ratio, r.

These sequences are closely related as they both have the same first term, but I hope you can see how different they become if they have a common difference or a common ratio.

We can create a decreasing arithmetic sequence by choosing a negative common difference.

Similarly, a decreasing geometric sequence would have a common ratio of less than 1.

Step-by-step explanation:



Problem

The formula for the remaining volume of fuel in a car's tank is I-E\cdot DI−E⋅DI, minus, E, dot, D, where III is the initial volume of fuel, EEE is the fuel efficiency, and DDD is the distance traveled.

Carson drove a distance of 120120120 kilometers. He initially had 303030 liters of fuel, and his car's fuel efficiency is 100100100 cubic centimeters per kilometer.

What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?

Answers

Answer:

18 litres

Step-by-step explanation:

The formula for the remaining volume of fuel in a car's tank is expressed as;

V = I - E.D

where;

I is the initial volume of fuel,

E is the fuel efficiency, and;

D is the distance traveled.

Given

I = 30 litres

1m³ = 1000L

x = 30L

x = 30/1000

x = 0.03m³

I = 0.03m³

E = 100cm³/km

E = 100*10^-6m³/km

E = 10^-4m³/km

E = 10^-4m³/1000m

E = 10^-7m²

D = 120km

Convert km to metres

D = 120km = 120,000m

Substitute the results into the formula;

V = I - E.D

V = 0.03 - (10^-7)(120,000)

V = 0.03 - 0.012

V= 0.018 m³

Convert 0.018 m³ to litres

Since 1 m³ = 1000L

0.018 m³ = y

cross multiply;

y  = 1000 * 0.018

y = 18 litres

Hence volume of fuel that remains in Carson's tank by the end of the drive is 18 litres

2x+7y=4 −2x−8y =−2 ​

Answers

Answer:

-y = 2.

Step-by-step explanation:

2x + 7y= 4

- 2x – 8y = -2  

Adding we eliminate   x because 2x + -2x = 0:-

0 - y = 4  + -2

-y = 2.


2. Manakah yang merupakan PLSV? Jelaskan!
a. 2x + 5 25
b. y + 10 = 7
C. x+3y = 12
d. x + 2 = 10​

Answers

Step-by-step explanation:

10 -3 10+3*-3= 12 x=10-8=6

6
Lisa wrote 10 letters on 10 slips of paper. She put the slips of paper in a hat to be randomly selected. The table below
shows the probability for each letter to be randomly selected,
Letter Probability
A
0.2
С
0.2
E
0.3
L
0.1
R
0.1
T
0.1
Which event is most UNLIKELY to occur?
A
A consonant at the beginning of the alphabet is chosen
B The letter A or T is chosen.
C A vowel near the beginning of the alphabet is chosen
D A consonant is chosen.
Am I right

Answers

Answer:

b

Step-by-step explanation:

Event is most UNLIKELY to occur is L, R and T. Therefore, option D is the correct answer.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given that, Lis

Lisa wrote 10 letters on 10 slips of paper.

If the event is “likely” to happen, the probability will be between 1/2 and 1.

If the event is “unlikely” to happen, the probability will be between 0 and 1/2.

From the table,

Probability of getting letter L, R and T is 0.1

Therefore, option D is the correct answer.

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1) Find f(g(x)) and
9(f(c)).
Given: f(x) = 5x; g(x) = x - 3
f(g(x))

Answers

Step-by-step explanation:

= f(g(x)) = g(f(x))

= f(x - 3) = g(5x)

= 5(x- 3) : 5x - 3

: 5x - 15

what is 1/2 of 6/7 ​

Answers

Answer:

3/7

Step-by-step explanation:

6/14 which equals 3/7

At Cheng's Bike Rentals, it costs 31 to rent a bike for 6 hours.
How many hours of bike use does a customer get per dollar?

Answers

Answer:

0.2hrs/dollars

Step-by-step explanation:

Given parameters:

Cost of bike = $31

Time duration  = 6hrs

Unknown:

Hours customers get per dollar = ?

Solution:

The number of hours customer gets per dollar is;

      Number of hrs/dollar = [tex]\frac{time duration }{cost}[/tex]

    Number of hrs/dollar  = [tex]\frac{6hrs}{31}[/tex]  

    Number of hrs/dollar = 0.2hrs/dollars

You start at 1,0. You move left 1 unit. Where do you end?

Answers

Answer:

(1-1,0) = (0,0)

Step-by-step explanation:

The measures of the angles of the triangle solve for x

Answers

Answer:

x = 8

Step-by-step explanation:

if the angle is equal to 36º that means (3x+12)º = 36º so simplify the equation and solve for x

3x+12 = 36

3x = 24

x = 8

Answer:

x = 8

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

3x + 12 + 54 + 90 = 180, simplify

3x + 156 = 180 ( subtract 156 from both sides )

3x = 24 ( divide both sides by 3 )

x = 8

Which factors of 18 are also factors of 36?

Answers

Answer:

21

Step-by-step explanation:

:) ur welcome its not rlly the answer btw

Helpppppppppppppppppppppppp pleaseeeeeeeeeee

Answers

Answer:

true

Step-by-step explanation:

Answer:

im just starting 6th grade sheeeeeesh

Step-by-step explanation:

if i were u i would just guess its ok to get 1 thing wrong :)

Some animals on farms eat hay to get energy. A horse can eat 20 pounds of hay each day. Write and evaluate an expression to find how many pounds a group of 17 horses can eat in two weeks.

Answers

Answer:

The amount of hay these 17 horses can eat in 2 weeks is 4,760 pounds.

Step-by-step explanation:

It is provided that a horse can eat 20 pounds of hay each day.

There is a group of 17 horses.

Compute the amount of hay these 17 horses can eat in 2 weeks as follows:

[tex]\text{Total amount of hay} = 20 \times \text{Number of days} \times \text{Number of Horses}[/tex]

                                [tex]=20\times 14\times 17\\\\=4760[/tex]

Thus, the amount of hay these 17 horses can eat in 2 weeks is 4,760 pounds.

Which statement is true about this equation?
-9(x + 3) + 12 = -3(2x + 5) - 3x
ОА.
The equation has one solution, x= 1.
OB.
The equation has one solution, x = 0.
OC. The equation has no solution.
OD.
The equation has infinitely many solutions.

Answers

Answer:

D

Step-by-step explanation:

-9x-27+12 = -6x-15-3x

0=0

D) the equation has infinitely many solutions

Relative maximum and minimum of f(x) = -x^4+2x^2-x-2

Answers

Man I don’t even know

Step-by-step explanation:

Solve the absolute value equation. Graph the solution. |x-3|=1

Answers

Answer:

4

Step-by-step explanation:

hihihihihihihihihihi

2) Five and one-half feet is
equal to how many inches?

Answers

Answer:

66

Step-by-step explanation:

What is the measure of Z PRQ?
62°
108°
P.
N
R

Answers

The measure of PRQ is 46 degrees.

For which function will both ordered pairs (3,6) and (4,8) be solutions?

Answers

You just have to try them all:
Y=x+3 ≈ 6=3+3 ≈ 6=6 √
Y=x+3 ≈ 8=4+3 ≈ 8=7 X
So the first function doesn't work

Y=2x ≈ 6=2(3) ≈ 6=6 √
Y=2x ≈ 8=2(4) ≈ 8=8 √
Second function works

Y=x+4 ≈ 6=3+4 ≈ 6=7 X
Third function does not work

Y=12-x ≈ 6=12-3 ≈ 6=9 X
Fourth function doesn't work

So your answer is Y=2X :)

what is x times x times y times y plz

Answers

Answer:

im sorry if im wrong but im sure its xy

Step-by-step explanation:

Answer: x^2y^2

Step-by-step explanation:

x*x=x^2

y*y=y^2

how do I get the answer for this quadratic equation in simplest form?
[tex]4( x - 7)^2 - 48 = 12[/tex]

Answers

Answer:

x=7+√15

x=7-√15

Step-by-step explanation:

A :-) 4 ( x - 7 )^2 - 48 = 12
= 4 ( x^2 - 49 ) - 48 = 12
= 4x^2 - 196 - 48 = 12
= 4x^2 - 244 = 12
= 4x^2 = 12 + 244
= 4x^2 = 256
= x^2 = 256 by 4
= x^2 = 64
= x = _/64
= x = 8

.:. x = 8

Which proportional relationship has the greatest rate of change?

Answers

Answer:

The answer is A.

Step-by-step explanation:

A- slope is 7

B- slope is 3

C- slope is 4

D- slope is 6

The first option, [tex]y=7x[/tex] has greatest rate of change.

Any relationship which have greatest slope, that relationship will also have greatest rate of change.

First option is,  [tex]y=7x[/tex] , compare with y = mx

Slope = 7

Slope of option B is,  [tex]=\frac{12}{4} =3[/tex]

Slope of option C is,  [tex]=\frac{8}{2}=\frac{16}{4} =4[/tex]

Slope of option C is,  [tex]=\frac{2}{1}=\frac{4}{2}=2[/tex]

From slope of all options , it is observed that  function y = 7x has greatest slope.

Hence, first option y = 7x has greatest rate of change.

Learn more:

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simplify -6/3 divided by 2/-9

Answers

Answer:

9

Step-by-step explanation:

Answer:

its 4 over 9 :)

Step-by-step explanation:

Write an equation in slope-intercept form of the line that passes through the points (4,1) and (8,2)

Answers

Answer:

y=1/4x

Step-by-step explanation: in image below

I think y=1/4x I’m not that good at this kind of thing

Write the equation of the line, in point-slope form, that has a slope of and passes through the point (-6, 4). Fill in point-slope form. Y-___ =___(x-__)

Answers

Answer:

y - 4 = -5(x - -6)

Step-by-step explanation:

its correct

Find the value of x in the triangle shown below.
x = ___°

Answers

I think x= 70 rights

The town of Simpsonville has two tow truck companies. Company A charges an initial fee of $30 plus $2 per mile. Company B charges an initial fee of $20 plus $4 per mile. Use the graph to determine when it's cheaper to use Company B instead of Company A. Question 11 options: A) Towing 5 miles

Answers

Answer:

What are the other options? Any option with a number of miles less than 5 is right

Step-by-step explanation:

Answer:underlined and bold is answer!!

A)

Towing 5 miles

B)

Towing more than 5 miles

C)

Towing more than 5 miles but less than 15 miles

D)

TOWING  FEWER THAN 5 MILES

Step-by-step explanation:

List two main differences between an expression and an equation

Answers

Answer

A expression is an number or a variable and a combination of numbers in variables and operation symbols. A equation is made up of two expressions or connected by an equal sign.

Step-by-step explanation:

50 POINT QUESTION ANSWER PLEASE!!!!

Answers

Work out the area of each triangle

A=Height squared x base divided by 2
Hope this helps

Answer:

A=Height squared x base divided by 2

Step-by-step explanation:

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