Which expression is equivalent to (4x^(3)y^(5))(3x^(5)y)^(2)

Answers

Answer 1

Answer:

[tex](4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7[/tex]

Step-by-step explanation:

Given

[tex](4x^3y^5)(3x^5y)^2[/tex]

Required

The equivalent expression

We have:

[tex](4x^3y^5)(3x^5y)^2[/tex]

Expand

[tex](4x^3y^5)(3x^5y)^2 = 4x^3y^5*9x^{10}y^2[/tex]

Further expand

[tex](4x^3y^5)(3x^5y)^2 = 4*9*x^3*x^{10}y^5*y^2[/tex]

Apply laws of indices

[tex](4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7[/tex]


Related Questions

a grocery store cashier packed 2 carts of groceries equally into 12 paper bags. what fraction of a cart is in each bag?

Answers

Answer:

Step-by-step explanation:

(2 carts)/(12 bags) = (⅙ cart)/bag

F(x, y, z) = (x + yz)i + (y + xz)j + (z + xy)k, Find the divergence of the vector field.

Answers

The divergence of F is

div(F ) = ∂(x + yz)/∂x + ∂(y + xz)/∂y + ∂(z + xy)/∂z

div(F ) = 1 + 1 + 1

div(F ) = 3

The divergence of the vector field is equal to 3

Data;

(x+yz)i(y + xz)j(z+xy)kDivergence of Vector Field

To find the divergence of the vector field, we have to differentiate the i, j and k component of the vector.

[tex]div F = \frac{\delta}{\delta x} (x+yz) + \frac{\delta}{\delta y} (y + xz) + \frac{\delta}{\delta z} (z + xy)\\div F = (1+0)+(1+0)+(1+0)\\div F = 1 + 1 + 1 \\div F = 3[/tex]

The divergence of the vector field is equal to 3

Learn more on divrgence of vector field here;

https://brainly.com/question/4608972

Given the recursive formula shown, what are the first 4 terms of the sequence?

Answers

Answer:

5,20,80,320

Step-by-step explanation:

a1 = 5

an = 4 an-1

Let n = 2

a2 = 4 * a1 = 4*5 = 20

Let n = 3

a3 = 4 * a2 = 4*20 = 80

Let n = 4

a4 = 4 * a3 = 4*80 = 320

A rectangle has an area of 616 m² and a width of 22m. What is its length?

Answers

Answer:

l=28m

w Width

22

m

A Area

616

Using the formula

A=wl

Solving forl

l=A

w=616

22=28m

hope this will help you

make me brainliest

Answer:

Solve for length

l=28m

W= Width

22

m

A= Area

616

Using the formula

A=wl

Solving formula

l=A

W=616

22=28m

PLS HELP
Let f(x) = -2x - 7 and g(x) = -4x + 6. Find (g o f) (-5)


–6



3



–59



26

Answers

Answer:

-6

Step-by-step explanation:

f(x) = -2x - 7 and g(x) = -4x + 6

Find f(-5)

f(-5) = -2(-5) -7 = 10-7 = 3

The find g(3)

g(3) = -4(3) +6

     = -12 +6 =-6

g(f(-5)) = -6

What is the greatest common factor of 10 and 13?
ANSWER IN LESS THEN 3 MINS AND I'LL GIVE BRAINLIEST

Answers

Answer:

the answer for this would be 1

1. Find the volume of a rectangular block 15 cm long, 5 cm wide and 10 cm length​

Answers

9514 1404 393

Answer:

  750 cm³

Step-by-step explanation:

The volume is given by the formula ...

  V = LWH . . . . where L, W, H represent length, width, height

The volume is the product of the dimensions.

  V = (15 cm)(5 cm)(10 cm) = 750 cm³

The table shows a linear function.

Which equation represents the function?

x f(x)
-6 -1
-3 4
0 9
3 14

A. f(x)= -5/3x+9
B. f(x)= -5/3x-9
C. f(x)= 9x+5/3
D. f(x)= 5/3x+9

Answers

Answer:

D.

Step-by-step explanation:

Try A:

x = -6, f(x) = -1:-

f(-6) =   -5/3(-6) + 9

= 10 + 9 = 19   NOT A.

Try B:

f(-3) = -5/3(-3) - 9

= 5 - 9 = -4  NOT B

Try C:

9(0) + 5/3 = 5/4   NOT C

Try D:

f(3) = 5 + 9 = 14

f(0) = 9, f(-6) = -1 and f(-3) = 4

A researcher wants to better understand the health benefits of eating vegetables. In a study he finds 300 adults aged 45-60 who eat at least 3 servings of vegetables a day on average. He finds another 200 adults who eat less than 3 servings of vegetables a day on average. The researcher looks at rates of cancer and heart disease in each group and compares both groups. In another study, the researcher finds 500 adults aged 45-60 who eat less than 3 servings of vegetables a day on average, and are willing to participate in a study. The researcher randomly assigns 250 of these adults to a diet which includes 4 servings of vegetables a day. The other 250 continue their usual habits. After 4 years, the rates of cancer and heart disease between the two groups are compared
Identify the statement that correctly states the reason for considering the first study as an observational study and second study as an experiment.
a. In the first study, the treatment is not imposed on the subjects, whereas in the second study the treatment is imposed on the subjects.
b. In the first study, the treatment is not imposed on every subject, whereas in the second study the treatment is imposed on every subject.
c. In the first study, the subjects were not randomly chosen, whereas in the second study the subjects were randomly assigned.

Answers

Answer:

a. In first study, the treatment is not imposed on the subjects, whereas in the second study the treatment is imposed on subjects.

Step-by-step explanation:

In the first study, observation are made on 300 adults who eat 3 servings of vegetables a day on average. The second study has further intensified the research which imposed treatment on the subjects. The random samples of adults are observed in both studies.

To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?


i have a time limit someone answer fast plsss (taking this down at 4:20 pm)

Answers

Answer:

The lines are:

3x - 2y = 4

and

9x - 6y = 12

Since after multiplying by -3 the equations sum to 0, the equations are same.

Same equations produce overlapping lines, hence you can see one line only.

3x-2y=49x-6y=12

Divide second equation by 3

3x-2y=4

LInes are same so you can see only one line

Which of the following algebraic steps will solve the equation 5p= -35 and what is the solution

Answers

Answer:

p=-7

Step-by-step explanation:

5p=-35

Divide both sides by 5

5p/5 =-35/5

therefore p=-7

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{5p= -35}\\\\\underline{\huge\text{DIVIDE 5 BOTH SIDES}}\\\\\mathsf{\dfrac{5p}{5p}= \dfrac{-35}{5}}\\\\\large\text{CANCEL out: }\dfrac{5}{5}\large\text{ because that gives you 1}\\\large\text{KEEP: }\dfrac{-35}{5}\large\text{ because that gives you the value of p.}\\\\\large\textsf{p = }\mathsf{\dfrac{-35}{5}}\\\\\mathsf{-35\div5= p}\\\\\large\text{Simplify above and you have your result to the p-value.}\\\\\boxed{\boxed{\huge\text{Therefore your answer is: \textsf{p = -7}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Find a 3 digit number with all these properties: all 3 digits are different, the 1st digit is the square of the second digit in the 3rd digit on one more than twice the second digit

Answers

Answer:

425 or 937

Step-by-step explanation:

First, I listed out all the possible numbers for the first digits, namely, the squares under 10.

1*1=1

2*2=4

3*3=9

Since all the digits have to be different, the first digit cannot be 1 because 1 squared is 1. So that leaves us 4 and 9 to work with, which I tried out one at a time.

Starting with 4:

2 squared is 4.

42

2 times 2 plus 1 equals 5.

425

Starting with 9:

3 squared is 9.

93

2 times 3 plus 1 equals 7.

937

So here we have two numbers that both work and meet the requirements (unless I understood the problem wrong at the part where it says "...the second digit in the 3rd digit on one more than twice the second digit")!

I hope this helped! :D

the x coordinates of the point 2y-x=10 intersect the line yaxis​

Answers

Answer:

Point has co-ordinates, (0, 5)

Step-by-step explanation:

If they cut y-axis, then x = 0

[tex]2y - x = 10 \\ 2y - 0 = 10 \\ 2y = 10 \\ y = 5[/tex]

What is the slope-intercept equation of the line below?

Answers

Answer:

y=-5/4x+3

Step-by-step explanation:

y=mx+c

m = (y1-y2)/(x1-x2) =(-2-3)/(4-0) =-5/4

sub the values y=3, x=0 to find c,

3 =-5/4(0) + c

c = 3

log13 X + log13 (12x-1)=1

Answers

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

x  ≈  0.13893498

Which equation represents the data in
the table?
x 0 1 2 3 4
y -4 -2 0 2 4
F y= x -4
G y= 2x -2
H y = 2x - 4
I y= 4x -4

Answers

Answer:

y = 2x - 4

Step-by-step explanation:

The equations are put in slope intercept form

Slope intercept form: y = mx + b

Where m = slope and b = y intersect

So in order to find the equation of the data represented by the table we will have to find the slope and y intercept

Let's begin!

First let's find the slope

We can find the slope by using the slope formula

m = (y2 - y1) / (x2 - x1) where the x and y values are derived from coordinates from the table

The points chosen may vary but I have chosen the points (0,-4) and (1,-2)

Now that we have chosen the points we will use to find the slope let's define the variables

remember coordinates are written like this: (x,y)

The x value of the second coordinate is 1 so x2 = 1

The x value of the first coordinate is 0

So x1 = 0

The y value of the second coordinate is -2 so y2 = -2

The y value of the first coordinate is -4

So y1 = -4

Now that we have defined each variable let's plug in the values into the formula

Formula: m = (y2 - y1) / (x2 - x1)

Variables: x2 = 1, x1 = 0, y2 = -2, y1 = -4

Substitute values

m = (-2 - (-4) / ( 1 - 0 )

Evaluate

The negative signs cancel out on top and it changes to +4

m = (-2 + 4)/(1-0)

Add top values

m = 2/(1-0)

Subtract bottom numbers

m = 2/1

Simplify fraction

m = 2

So we can conclude that the slope (m) = 2

Now let's find the y intercept or "b"

The y intercept is the value of y when x = 0

If you look at the table when x = 0 y = -4 meaning that the y intercept or "b" is -4

Now that we have found everything let's find the equation of the data represented by the table

The equation is in slope intercept form

y = mx + b

Define variables

m = 2 and b = -4

Substitute values

y = 2x - 4

The equation is y = 2x - 4

Can someone help me find the answer?

Answers

Answer:

a. x = 3/a

Step-by-step explanation:

Add all like terms on left hand side of the equation:

5 ax + 3 ax => 8 ax

Bring like term 4ax on left hand side

8ax - 4ax

=> 4ax

Therefore we get 4ax = 12

ax = 12/4

ax = 3

x = 3/a

how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right.​how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right. plz answer the question steps by step.​

Answers

Answer:

4 walls in my room. The shape of my room is square and my ceiling in square. By looking at it and measuring it. Thats how I found my answer.

I believe this is correct if it is can you mark brainliest? Hope I helped!!!! :)

Answer:

8 walls etc....

Step-by-step explanation:

. Two mutually exclusive projects have projected cash flows as follows:
YEAR PROJECT A PROJECT B
0 Ksh. -2m Ksh. -2m
1 1m 0
2 1m 0
3 1m 0
4 1m 6m





Required:
a) Determine the internal rate of return for each project. [2 Marks]

b) Determine the net present value for each project at discount rates of 0, 5,10,20,30, and 35 percent. [2 Marks]

c) Plot a graph of the net present value of each project at the different discount rates. [2 Marks]

d) Which project would you choose? Why? [ 2 Marks]

e) What is each project’s MIRR if the cost of capital is 12 percent?

Answers

Answer:

yes

Step-by-step explanation:

which of the following are ordered pairs for the given function f(x)=1+x.? (1,2) (3,3) (0,2) (1,0) (0,1)

Answers

Answer:

no,  

(

1

,

0

)

is not an ordered pair of the function  

f

(

x

)

=

1

+

x

.

Step-by-step explanation:

Ordered pairs are usually written in the form  

(

x

,

y

)

by tradition.

so usingthe function,

f

(

x

)

=

1

+

x

we can rewrite it as,

y

=

1

+

x

any pair of x and y that satisfy this equation are solutions to the equation.

so subbing in  

(

1

,

0

)

,

0

=

1

+

(

1

)

0

=

2

which is not true so the point does not make the function true.

It might be easier to see graphically,

graph{1+x [-10, 10, -5, 5]}

any combination of x and y on this line make the equation true and as such are an ordered pair of the function.

Answer:

Step-by-step explanation:

PLS HELP I DONT KNOW THIS ONE

Answers

Answer:

x+3

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

(x-3)(x-2)(x-4)

Step-by-step explanation:

x+4             x^2 -16

---------------÷ -------------

x^2 - 5x+6     x+3

Copy dot flip

x+4                x+3

--------------- * -------------

x^2 - 5x+6     x^2 -16

Factor

x+4                x+3

--------------- * -------------

(x-3)(x-2)     (x-4)(x+4)

Cancel like terms

1                   x+3

--------------- * -------------

(x-3)(x-2)     (x-4)1

x+3

---------------   x cannot equal 3,2,4 -4

(x-3)(x-2)(x-4)

An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 331331 watts with a variance of 144144. What is the probability that the mean amplifier output would be greater than 332.8332.8 watts in a sample of 4949 amplifiers if the claim is true

Answers

Answer: brother

Step-by-step explanation:

A boat travels 400 kilometers in 9.6 hours (with a constant speed). How much time will it take to travel 138 kilometers? (round to the nearest tenth of an hour)

Answers

Step-by-step explanation:

here's the answer to your question

HELP ME PLSSS SUMMER SCHOOL A HARD

Answers

Answer:

y=2x+8

Step-by-step explanation:

Hope this helps

Lấy ngẫu nhiên 25 lọ thuốc Vitamin tổng hợp do một máy tự động đóng chai ta thu được s'2 =0,012(l2).Máyđượcgọilàđạtchuẩnnếuđộphântántheoquyđịnhlà2 =0,005(l2). Với mức ý nghĩa 0,05 hãy kiểm định máy đóng chai có đạt chuẩn không? Biết lượng thuốc trong chai là biến ngẫu nhiên có phân phối chuẩn.

Answers

Answer:

I really can't read this

Step-by-step explanation:

Charla has six segments with which to make two triangles. The segments lengths are 2 in., 3 in., 4 in., 5 in., 6 in., and 7 in. Which are possible side lengths of her two triangles?

2 in., 4 in., 6 in. and 3 in., 5 in., 7 in.
2 in., 5 in., 6 in. and 3 in., 4 in., 7 in.
2 in., 3 in., 4 in. and 5 in., 6 in., 7 in.
2 in., 3 in., 6 in. and 4 in., 5 in., 7 in.

Answers

2, 3, 4, 5, 6, 7. Is the correct answer

Answer:

The answer is option C
2 in., 3 in., 4 in. and 5 in., 6 in., 7 in.

Step-by-step explanation:

Sum of × +1 and × + 2 ​

Answers

Step-by-step explanation:

X +1 + X + 2

X + X + 1 + 2

2x + 3

Therefore it's 2x + 3

2x+3 is the answer….

write down the length of the diameter of the circle​

Answers

Answer:

Diameter = 2 × Radius

Step-by-step explanation:

Answer:

Step-by-step explanation:

The diameter of a circle is the length of the line through the center and touching two points on its edge. In the figure above, drag the orange dots around and see that the diameter never changes. The diameter is also a chord.

Last year, Rob set up the Road Runner Race for his school.
The race was 1,200 meters long and 188 people signed up to
run the race. 38 people did not show up to run. This year,
there will be 3 times as many runners as last year. How
many people will run the race this year?

Answers

Answer:

450 runners

Step-by-step explanation:

You are skiing down a mountain with a vertical height of 1250 feet. The distance that you ski as you go from the top down to the base of the mountain is 3350 feet. Find the angle of elevation from the base to the tep of the mountain. Round your answer to a whole number as necessary. ​

Answers

Step-by-step explanation:

here is the answer to your question

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