simplify completely 10x6y3+20x3y2/5x3y​

Answers

Answer 1

Answer:

[tex]\large\boxed{\dfrac{10x^6y^3+20x^3y^2}{5x^3y}=2x^3y^2+4y}[/tex]

Step-by-step explanation:

[tex]\dfrac{10x^6y^3+20x^3y^2}{5x^3y}=\dfrac{(5x^3y)(2x^3y^2)+(5x^3y)(4y)}{5x^3y}\\\\=\dfrac{5x^3y(2x^3y^2+4y)}{5x^3y}\qquad\text{cancel}\ 5x^3y\\\\=2x^3y^2+4y[/tex]


Related Questions

HELP ME PLSSSSSS OMG!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

The graph has a negative slope of 3, so him earning $3 wouldn't make sense, nor would him earning or spending $0.30

Ellie wants to buy a computer for $900. She can save $75 a month in a savings account and earn $2 for every $100 saved and buy the computer when she has enough money. Or, she can pay back $75 a month on a bank loan for $900 and pay interest of $7 for every 100 borrowed. How much will she pay for the computer for each of the two choices?

Answers

Answer:

For savings: 924$ paid. For loan: 963$ paid

Please help me I need your help please I need your need your help please help me I need your help badly plz help me I need your help I’m on begging you

Answers

____________________________________________________

Answer:

Your answer would be D). Since -2 is to the left of 1, -2 < 1.

____________________________________________________

Step-by-step explanation:

The reason why this would be the correct answer is because it numerically makes sense, and the statement said in the answer choice is correct on the number line.

The numbers that are on the left side of the number line, the negatives, are a lower value than the numbers on the right. To sum it up, the numbers that are more to the left are less value than the ones more to the right.

In the answer choice D, it says, "Since -2 is to the left of 1, -2 < 1."

This is correct because -2 is less than 1, so when you use the the less than sign, it makes sense since -2 is less than 1. To sum it uyp, 1 is greater than -2.

D should be your FINAL answer.

____________________________________________________

Why the other answer choices are incorrect:

The reason why answer choice "A" is incorrect because:

-2 is actually not greater than -1. Remember, The numbers that are more to the right are greater than the numbers on the left. -2 is to the left of -1, which means that -1 would be greater than -2. This statement would be incorrect. This is the reason why this answer choice would be wrong.

The reason why answer choice "B" is incorrect because:

-1 is not equal to 1. -1 is more to the left than 1, and since the negative sign is there, they wouldn't be the same. Even though they have the same number, they don't have the same value. If the equation said 1 =1, it would be true, but that's not the case in this answer choice, which would make it incorrect. This is the reason why this answer choice would be wrong.

The reason why answer choice "C" is incorrect because:

-2 is not  greater than 1/3. -2 is negative, while 1/3 is positive, therefore making the 1/3 greater than -2. In the answer choice, it's saying that -2 is greater than positive 1/3, which is incorrect. This is the reason why this answer choice would be wrong.

____________________________________________________

Answer:

D

Step-by-step explanation:

Choose the coordinate pairs that are NOT shown on the graph.

(3, 2)

(−6, 3)

(1, −1)

(−6, −4)

(4, −2)

Answers

Answer:

(3, 2)

(−6, −4)

Step-by-step explanation:

Which of the following is a polynomial function in standard form with zeros at -8,-1 and 3? Help needed!!! 10 points!!! Math 3

Answers

ANSWER

[tex]f(x) = {x}^{3} + 6 {x}^{2} - 19 - 24[/tex]

EXPLANATION

The polynomial function has zeros at:

-8,-1 and 3

This means the polynomial can be factored as:

[tex]f(x) = (x + 8)(x + 1)(x - 3)[/tex]

We expand the last two factors:

[tex]f(x) = (x + 8)( {x}^{2} - 2x - 3)[/tex]

We expand further to get:

[tex]f(x) = {x}^{3} - 2 {x}^{2} - 3x + 8 {x}^{2} - 16x - 24[/tex]

[tex]f(x) = {x}^{3} + 6 {x}^{2} - 19 - 24[/tex]

The polynomial in descending powers of x is said to be in standard form.

Help pls and thank you!!!

Answers

Answer:

16

Step-by-step explanation:

The perimeter = sum of the three sides.

1/2 + 1/2 = 1

4 + 5 + 6 + 1 = 16

This week jake is scheduled to work 11 hours as a cashier and 17 hours as a grocery stocker. What will be the total amount he earns from the two jobs if he works all the scheduled hours?

Answers

Answer:

$305

Step-by-step explanation:

Answer:

A/281.75

Step-by-step explanation:

1st step.

81.00/9=9

129/12=10.75

2nd step

9*11=99

10.75*17=182.75

3rd step

99+182.75=

281.75 or a

hope this helped!!!!

An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t) = 144 – 16t2. How many seconds will it take the object to reach the ground? second(s)

Answers

Answer:

t = 3 seconds

Step-by-step explanation:

We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.

The equation is:

[tex]h (t) = 144 - 16t ^ 2[/tex]

Where t is the time in seconds and h is the height in feet.

To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.

So:

[tex]0 = 144 - 16t ^ 2\\\\16t ^ 2 = 144\\\\t ^ 2 = \frac{144}{16}\\\\t ^ 2 = 9\\\\t_1 = 3\\t_2 = -3[/tex]

We take the positive solution.

Therefore the object takes 3 seconds to reach the ground

Answer:

t=3 seconds

Step-by-step explanation:

We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.

The equation is:

Where t is the time in seconds and h is the height in feet.

To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.

So:

We take the positive solution.

Therefore the object takes 3 seconds to reach the ground

Read more on Brainly.com - https://brainly.com/question/12606814#readmore

The stem and leaf plot shown matches which set of data?

Answers

Stem and Leaf Plot Advantages. The stem and leaf plot essentially provides the same information as a histogram, with the following added benefits: The plot can be constructed quickly using pencil and paper. The values of each individual data point can be recovered from the plot.

A coin is tossed at the same time a die is rolled. Are the
events independent or dependent? Why?
A. The events are dependent. There is no way the outcome
of the coin toss can affect the rolling of the die and vice
versa.
B. The events are dependent. The number rolled on the die
can be affected by what is flipped on the coin.
C. The events are independent. There is no way the
outcome of the coin toss can affect the rolling of the die and
vice versa,
D. The events are independent. The number rolled on the die
can be affected by what is flipped on the coin.

Answers

Answer:

c

Step-by-step explanation:

common sense

There were two containers of oil. There was twice as much oil in the second container as in the first one. After using 13 liters of oil from the first container and 7 liters from the second one, the second container still had 3 times more oil than the first one. How many liters of oil in total were in both containers originally?

PleASE HELP

Answers

Answer:

There are 96 liters of oil in both containers originally

Step-by-step explanation:

* Lets change the story problem to mathematics equation

- Let the first container had A liters of oil and the second container

 had B liters of oil

- The quantity of oil B in the second container is twice the quantity

  of oil in A in the first container

∴ B = 2A ⇒ (1)

- After using 13 liters from the quantity of oil A in the first container,

 the container had (A - 13) liters

- After using 7 liters from the quantity of oil B in the second container,

 the container had (B - 7) liters

-  After that the quantity of oil in the second container is 3 times

 more oil than the first one

∴ B - 7 = 3(A - 13) ⇒ simplify

∴ B - 7 = 3A - 39 ⇒ add 7 and subtract 3A from both sides

∴ B - 3A = -39 + 7

∴ B - 3A = -32 ⇒ (2)

- Substitute the value of B from (1) into (2)

∴ 2A - 3A = -32

∴ -A = -32 ⇒ × -1

∴ A = 32 liters

- Find the value of B by substitute value of A in (1)

∴ B = 2(32) = 64 liters

- Now find the total liters of oil in both containers

∴ A + B = 32 + 64 = 96 liters

* There are 96 liters of oil in both containers originally

I NEED HELP ASAP!! create a line plot to display the data

the table shows the lengths of the different leaves In centimeters

To create a line plot hover over each number on the number line then click and drag up to the plot the data

Answers

7.5 xxx. 8.0 xxx 8.5 xxx 9.0 xxxxx 9.5 xxxx

The sum of 5 consecutive integers is 110.
What is the fourth number in this sequence?

Answers

Answer:

Step-by-step explanation:

let:  x , x+1 , x+2 ,x+3 , x+4 ....( 5 consecutive integers is 110)

x+x+1 +x+2 +x+3+x+4=110

5x +10 = 110

5x =100

x=100/5

x=20

the fourth number in this sequenceis : x+3  so : 23

.
Write in vertex form y=2x^2+8x+10

Answers

Answer:

(-2,2)

hope this helps!!!

norton22aa

Step-by-step explanation:

Answer:

[tex]y=2(x+2) ^ 2 + 2.[/tex]

Step-by-step explanation:

For a quadratic equation written in the general form [tex]y=ax ^ 2 + bx + c[/tex],

the x coordinate of its vertex is:

[tex]x = -\frac{b}{2a} = h[/tex]

Then this equation written in the form of vertex is:

[tex]y=a(x-h) ^ 2 + k.[/tex]

Where the point (h, k) is the vertex of the parabola.

In this case we have the equation

[tex]y=2x^2+8x+10[/tex]

Then the x coordinate of its vertex is:

[tex]x=-\frac{8}{2(2)}\\\\x= -2[/tex]

Therefore the y coordinate of its vertex is:

[tex]f(-2) = 2(-2)^2+8(-2)+10\\\\f(-2) = 2[/tex]

The vertice is (-2, 2)

Then

[tex]h=-2\\\\k = 2[/tex].

This equation written in the form of vertex is

[tex]y=2(x+2) ^ 2 + 2.[/tex]

Which conic section is represented by the polar equation r=3/(4+2sintheta)?
A. ellipse
B. hyperbola
C. parabola
D. circle

Answers

Answer:

The conic is an ellipse  ⇒ answer A

Step-by-step explanation:

* Lets explain how to solve the problem

- The polar form equation of a conic with a focus at the origin, the

 directrix is y = ± p where p is a positive real number, and the

 eccentricity is a positive real number e is r = ep/(1 ± e sin Ф)

# If 0 ≤ e <1, then the conic is an ellipse

# If e = 1, then the conic is a parabola

# If e > 1, then the conic is an hyperbola

- Lets solve the problem

∵ The equation of the conic is r = 3/(4 + 2 sin Ф)

∵ The form of the equation is r = ep/(1 ± e sin Ф)

- We must divide up and down by 4 to make the 1st term of the

 denominator equal 1

∴ r = (3/4)/(1 + (2/4) sin Ф)

∴ ep = 3/4

∴ e = 2/4

- Lets use the rules above to identify the type of the conic

∵ e = 2/4 = 1/2

∴ 0 ≤ e < 1

The conic is an ellipse

Answer:

A C D are the answers

Step-by-step explanation:

Ellipse, r=1/1-cos theta, r=3/2-3cos theta

what is the prime factorization of 25n^2​

Answers

5??? Not 100% Sure If Im Correct.

What is the value of n?

Answers

Answer:

C. 95°

Step-by-step explanation:

The up angle of the triangle is 180° - 121° = 59°

The right angle of the triangle is 180° - 144° = 36°

The left angle of the triangle is 180° - (59°+36°) = 180° - 95° = 85°

=> n° = 180° - 85° = 95°

Answer:

C. 95°

Step-by-step explanation:

Deduct each exterior angle from 180°, according to the Supplementary Angles Theorem, to get your interior angles:

-144° + 180° = 36°

-121 + 180° = 59°

You have two of the interior angles, so to find the final one, we do this:

-95° + 180° = 85°

You now have your third interior angle measure, and now, it is hooked up to the exterior angle, n°. This is where the Supplementary Angles Theorem comes in again:

-85° + 180° = 95°

So, the m∠n is 95°.

I am joyous to assist you anytime.

Salary, tips and interest earned are all included in ____.

Answers

Answer:

Gross annual income

Annual income i think lol

Which point is part of the solution of the inequality y<=|x+4|-3

Answers

Hello!

The answer is: The point (0,0) is part of the solution.

Why?

To find which point is part of the solution of the inequality, we need to evaluate each of the given points. If the inequality is satisfied, then the point is part of the solution, otherwise, if the inequality is not satisfied, the point is not part of the solution.

We are given the inequality:

[tex]y\leq |x+4|-3[/tex]

So, evaluating we have:

- First point (-2,1)

[tex]y\leq |x+4|-3\\\\1\leq |-2+4|-3\\\\1\leq |2|-3\\\\1\leq 2-3\\\\1\leq -1[/tex]

Now, since 1 is not less or equal to -1, the point (-2,1) is not part of the solution.

- Second point (1,3)

[tex]y\leq |x+4|-3\\\\3\leq |1+4|-3\\\\3\leq |5|-3\\\\3\leq 5-3\\\\3\leq 2[/tex]

Now, since 3 is not less or equal to 2, the point (1,3) is not part of the solution.

- Third point (-4,2)

[tex]y\leq |x+4|-3\\\\2\leq |-4+4|-3\\\\2\leq |0|-3\\\\2\leq 0-3\\\\2\leq -3[/tex]

Now, since 2 is not less or equal to -3, the point (-4,2) is not part of the solution.

- Fourth point (0,0)

[tex]y\leq |x+4|-3\\\\0\leq |0+4|-3\\\\0\leq |4|-3\\\\0\leq 4-3\\\\0\leq 1[/tex]

Now, since 0 is less than 1, the point (0,0) is part of the solution.

Hence, we have that the point (0,0) is part of the solution.

Have a nice day!

What is the recursive formula for this geometric sequence

6, -24, 96, -384,...



Answers

Answer:

see explanation

Step-by-step explanation:

The recursive formula allows us to calculate the next term in the sequence from the previous term.

The common ratio r = [tex]\frac{-24}{6}[/tex] = - 4

Thus multiplying any term by - 4 gives the next term, that is

[tex]a_{n+1}[/tex] = - 4 [tex]a_{n}[/tex] with a₁ = 6


Find cos<FHE.
a.3/4
b.4/5
d. 4/3​

Answers

Answer:

b.4/5

Step-by-step explanation:

step 1

In the right triangle FGH

Find HF

we know that

HG=GF ----> by triangle 45°-90°-45°

Applying the Pythagoras Theorem

[tex]HF^{2} =\sqrt{8}^{2} +\sqrt{8}^{2} \\ \\HF^{2} =16\\ \\HF=4\ units[/tex]

step 2

In the right triangle FEH

Find HE

Applying the Pythagoras Theorem

[tex]HE^{2} =4^{2} +3^{2} \\ \\HE^{2} =25\\ \\HE=5\ units[/tex]

step 3

Find the cos(∠FHE)

cos(∠FHE)=HF/HE

substitute the values

cos(∠FHE)=4/5

Help help help help find volume

Answers

Answer:

20 mm^3

Step-by-step explanation:

Formula

V = 1/3 B * h

Givens

B = 15 mm^2

h = 4 mm

Solution

V = 1/3 * 15 * 4

V = 20 mm^3

What’s three-dimensions figure can be made from their net

Answers

A "Geometry Net" is a flattened out three dimensional solid (a three dimensional shape) -- like a cube, a prism or a pyramid.

The counting numbers, together with 0, are called the _____ numbers.

Answers

natural numbers. they are also called counting numbers. hope this helps :)

The answer is Whole.

A car travels 35 miles on each gallon of gas. How far will it travel on 6 gallons?

Answers

Answer:

210 miles

Step-by-step explanation:

35 x 6

What is next term in sequence 54,-18,6

Answers

Answer:

-2

Step-by-step explanation:

its a geometric sequence where every term is being divided by -3

Answer:

-2

Step-by-step explanation:

This is a geometric sequence.  We need to find the common ratio

Take the second term and divide by the first

-18/54 = -1/3

Take the third term and divide by the second

-18/6 = -1/3

The common ratio is -1/3

The next term is the third term times the common ratio

6 * -1/3 = -2

The fourth term  is -2

Find x I need help don’t really understand it

Answers

you would use sine

sine = opposite side / hypotenuse

and solve for opposite side (x)

so sine of 70*14= which is about 13.146

Check the picture below.

make sure your calculator is in Degree mode.

The London theater offers child tickets at 10$each and adult tickets at 20$ each.Mrs burham buys 34 tickets at a total cost of 570 if C is the number of child tickets and A is the number of adult tickets write the system of equations which represents this situation

Answers

Answer:

A+C=34

10C+20A=570

A baker uses 4 cups of flour. She uses 1/4 cup to flour the counters and rest to make 8 identical muffins. How much flour is in each muffin? Answer must be in fractional form.

Answers

Answer:

15/32 cup

Step-by-step explanation:

Apparently, you're to assume that flour used on the countertop does not end up in the muffins. If that is the case, then the amount of flour in the 8 muffins is ...

4 cups - 1/4 cup = 3 3/4 cups

When that is divided evenly among 8 muffins, the amount in each is ...

(1/8)·(3 3/4 cups) = (1/8)·(15/4 cups) = 15/32 cup

Answer: 15/32

Step-by-step explanation: Because she uses 1/4 to flour the counter you need to subtract 1/4 from four which gives you 3 3/4. 3 3/4 divided by eight equals 15/32

Stefan sells Jin a bicycle for ​$173 and a helmet for ​$19. The total cost for Jin is 160​% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

Answers

Answer:

a) $ 120

b) $ 53

Step-by-step explanation:

Cost of Bicycle paid by Jin = $173

Cost of Helmet = $ 19

Total amount paid by Jin = $173 + $19 = $192

This amount is 160% of what Stefan originally spent. Let the amount he originally spent was n, so we can write:

192 = 160% of n

192 = 1.6n

n = [tex]\frac{192}{1.6} = 120[/tex]

Thus, Stefan originally spent $120 for buying the bicycle and the helmet.

Profit which he made from this sale = $ 173 - $ 120 = $53

So he made $53 by selling Jin a bicycle and a helmet

Final answer:

To find the original cost Stefan spent, we calculate 160% of the original cost equal to the total selling price of $192. Divide $192 by 1.60 to find the original cost. Subtract this cost from $192 to find Stefan's profit.

Explanation:

The student's question pertains to calculating the original cost and the profit made from a sale. To solve this, we can set up an equation where 160% of the original cost (which we will call 'x') is equal to the total selling price of the bike and helmet, which is $173 for the bicycle and $19 for the helmet, adding up to $192.

This equation can be represented as 1.60x = $192. To find the original cost (x), divide the total cost by 1.60: x = $192 / 1.60. Calculating this gives us the original cost that Stefan spent.

To find the profit, we subtract the original cost from the total selling price. If x represents the original cost, then the profit is $192 - x. The step-by-step explanation helps the student understand how to set up and solve equations involving percentages, a key concept in mathematics related to business and personal finance.

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