Simplify the following:
Show all steps.

[tex]\sqrt{108} x^{2} y^{3} -\sqrt{12} x^{2} y^{3} +x\sqrt{75} y^{3}[/tex]

Answers

Answer 1

Answer:

[tex]\sqrt{3} xy^{3}[/tex]×(4x+5)

Step-by-step explanation:

6[tex]\sqrt{3} x^{2} y^{3} - 2\sqrt{3} x^{2} y^{3} + x \sqrt{75} y^{3}[/tex]        simplify

4[tex]\sqrt{3} x^{2} y^{3} +x\sqrt{75} y^{3}[/tex]          collect like terms

[tex]\sqrt{3} xy^{3}[/tex]×(4x+[tex]\sqrt{25}[/tex])      factored out [tex]\sqrt{3} x y^{3}[/tex]

[tex]\sqrt{3} xy^{3}[/tex]×(4x+5)        simplify


Related Questions

Solve: sin(11pi/2 +x)= -1/2 for [pi, 2pi]

Answers

Step-by-step explanation:

Step-by-step explanation: Given the expression sin(11pi/2 +x) =-1/2. Take the arcsin of both sides. sin⁻¹[sin(11pi/2 +x)]

Show all work to multiply quantity 6 plus the square root of negative 64 end quantity times quantity 3 minus the square root of negative 16 end quantity

Answers

Answer: 50

Step-by-step explanation:

[6+√-64] × 3-√-16

(6+8i)(3-4i)

6(3-4i)+8i(3-4i)

18-24i+24i+32

18+32=50

the answer is 50

Answer:

fifty

Step-by-step explanation:

fifty

Which graph represents the function f(x)=0.5x+4?


Which graph represents the function f(x)=−2x−1?

Answers

Answer:

Step-by-step explanation:

1.)The 4th picture will be the correct one.

Step-by-step explanation:

The first picture shows the graph of f(x) and in the options there are pictures of graph of g(x) = f(x) -1

So, it is clear from the equation of the functions that the graph of f(x) and g(x) will be similar but the the y value in g(x) will be 1 less than the y value in f(x) corresponding to a certain x value.

So, the graph will translate down by 1 unit.

Therefore, the 4th picture will be the correct one.

2.)-(2^x) - 1 will have a y-intercept of -1-1 = -2, a horizontal asymptote of y=-1, and will be decreasing everywhere. The third selection is the graph that has these characteristics.

Answer:

graph 4

Step-by-step explanation: because I love you <3 ;)

The Astronomical Telescope shop plans to introduce a new model based on the following information: Rent and utilities per period are $ {fixed}; variable cost per unit is $ 217; selling price per unit is $ 305; determine the break-even point in units if rent and utilities are increased to $ 5420.

Answers

Using the profit concept, it is found that the break-even point is of 61.6 units.

Profit is given by revenue subtracted by cost.The break-even point is when the revenue is the same as the cost, which means that the profit is zero.

In this problem:

Variable cost per unit x of $217, fixed cost of $5,420, thus, the cost equation is given by:

[tex]C(x) = 217x + 5420[/tex]

Selling price per unit of $305, thus, the revenue equation is given by:

[tex]R(x) = 305x[/tex]

The break-even point is the value of x for which:

[tex]R(x) = C(x)[/tex]

Then

[tex]305x = 217x + 5420[/tex]

[tex]88x = 5420[/tex]

[tex]x = \frac{5420}{88}[/tex]

[tex]x = 61.6[/tex]

The break-even point is of 61.6 units.

A similar problem is given at https://brainly.com/question/4001746

solve both pls brainliest

Answers

Answer:

x= 4.66

v-9= 63

Step-by-step explanation:

Hope this helps! :)

*Victor was 72 btw*

a stock market fell 25 points the following day it dropped another 12 points what was the total change in the stock market after two days

Answers

Answer: its either c or b

Step-by-step explanation:

Find the mass of 250 ml of water. The density of water is 1 g/ml.
D= Density
M=
Volume - 10ml
What is the Mass?
V=
Mass - 70
Density
Alaalam

Answers

Answer:

250g

Step-by-step explanation :

250ml x 250g/ml = 250 g

To get the mass (in grams), you need to divide the ml's off and get the g alone.

No one answered the palm tree question so I will put this question up for 15 points. Please answer now it’s due!

Answers

Answer:

15 feet

Step-by-step explanation:

Answer:

15 feet is the answer ok

a school has 400 feet of fencing to build a set of 3 athletic fields as shown below. What dimensions should they use to build the largest possible athletic complex. Include appropriate units with your answer.

Answers

The area of a shape is the amount of space it occupies.

The dimensions to build the largest possible athletic complex is 100 by 50 feet

Assume the length of the fence is y.

So, we have:

[tex]\mathbf{Area = xy}[/tex]

[tex]\mathbf{Perimeter = 2y + 4x}[/tex]

Substitute 400 for perimeter

[tex]\mathbf{2y + 4x = 400}[/tex]

Divide through by 2

[tex]\mathbf{y + 2x = 200}[/tex]

Make y the subject

[tex]\mathbf{y = 200 -2x}[/tex]

Substitute [tex]\mathbf{y = 200 -2x}[/tex] in [tex]\mathbf{Area = xy}[/tex]

[tex]\mathbf{Area =x(200 - 2x)}[/tex]

[tex]\mathbf{Area =200x - 2x^2}[/tex]

Differentiate

[tex]\mathbf{A' =200 - 4x}[/tex]

Set to 0

[tex]\mathbf{200 - 4x = 0}[/tex]

Collect like terms

[tex]\mathbf{4x = 200}[/tex]

Divide both sides by 4

[tex]\mathbf{x = 50}[/tex]

Recall that: [tex]\mathbf{y = 200 -2x}[/tex]

So, we have:

[tex]\mathbf{y = 200 - 2 \times 50}[/tex]

[tex]\mathbf{y = 200 - 100}[/tex]

[tex]\mathbf{y = 100}[/tex]

Hence, the dimensions to build the largest possible athletic complex is 100 by 50 feet

Read more about areas and perimeters at:

https://brainly.com/question/11957651

Find the value of x. 1/2 - 15 = 2/5x - 7​

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)

Step-by-step explanation:

In pic

(Credit: Symbolab )

x = 80

Erin ran 5 km in 25 minutes. What is her speed in km per minute? (Answer as a decimal)​

Answers

Answer:

what what what what what what what what

Which property of multiplication is shown? 3 * (5 * 7) = (3 * 5) * 7

Answers

Answer:

the associative property

Answer:

It is the associative property of multiplication

Step-by-step explanation:

It is generally expressed as

(ab)c=a(bc)

3*(5*7)=(3*5)*7

105=105

At a farm the ratio of cows to horses was 8 : 3. If there were 24 cows at the farm, how many horses were there?

Answers

9 Horses or 24:9

Since there are 24 cows we can do 24/8 and get 3. Then multiply the amount of horses by 3.

3(3) = 9.

Therefore there would be 9 horses.

In the rectangle below, AE = 2x+5, CE=5x-13, and mZECD=28°.
Find BE and m ZEBC.
А
WO
B
E
B
B
m ZEB
D
С

Answers

Answer:

https://www.portnet.org/cms/lib6/NY01001023/Centricity/Domain/290/Scanned-image.pdf

Step-by-step explanation:

...

Needs to show work.
Find the X intercept and the Y intercept for 2x-6y=12

Answers

Answer:

x: (6,0)

y: (0,-2)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y intercept, substitute in  0  for  x  and solve for  y .

Ex -

X : 2x -6(0)=12

2x=12

2 cancels out with 2

12/2 = 6

Y: 2(0 )- 6y =12

-6y=12

negative 6 times negative 6 cancels

12/-6 = -2

Answer:

See Below

Step-by-step explanation:

Given: 2x-6y=12

Plug 0 in the equation for y:

y is zero

2x-6(0)=12

2x=12

The x-intercept:  (6,0)

Plug 0 in the equation for x:

x is zero

2(0)-6y=12

−6y=12

The y-intercept:  (0,−2)

Cómo hallar el dominio de una función identidad?

Answers

Answer:

Cómo hallar el alcance de una función cúbica? or How to find the scope of a cubic function?

Step-by-step explanation:

can anyone heelp me pls

Answers

Answer:

lotion 3,. suspension 2, capsule 1 , I think

the nth term of a sequence is n(n-8)÷√n+3
find the 1st and 6th terms

Answers

Answer:

-4 and -2✓6+3

Step-by-step explanation:

use pemdas

1(1-8)÷✓1 + 3

-7÷1+3

-4

6(6-8)÷✓6+3

-12÷✓6+3

multiply fraction by ✓6 on bottom and top to get rid of square root on bottom

-12✓6÷6+3

divide -12 by 6 and put radical next to it

-2✓6+3

James has $10 less than three times the amount Amy has. Which expression represents James' amount if Amy has d dollars?

Answers

Answer:

james has 3d-10

Step-by-step explanation:

Amy has d dollars

james has 10 less than 3 times Amy's amount

so the answer will be 3d - 10

hope it helps : )

The expression that represents James' amount is 3d - 10. Then the correct option is A.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

A sentence-to-equation translation is a process of turning a given statement into an expression or equation.

James has $10 less than Amy, who has three times as much money.

Let d be the amount Amy has. Then the expression is given as,

⇒ 3d - 10

The expression that represents James' amount is 3d - 10. Then the correct option is A.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ5

The missing options are given below.

a) 3d - 10

b) 10 - 3d

c) 3d - 30

d) 30 - 3d

Pls answer the question in the photo

Answers

Answer:

correct answer to the problem is x= -9

Joe answered correctly.

Answer: nick

Step-by-step explanation: subtract 6 from both sides to get 0 on one side and then divide both sides by 2 to get x on its own

Which equation represents a line which is parallel to the line 3y−2x=−24?

Answers

Answer:

Any equation of the line with slope 2/3.

Parallel lines have identical slope.

Step-by-step explanation:

3y - 2x = - 24

3y = 2x - 24

y = 2/3x - 8

what is rhe vertex of the graph of the function f(x)=x²+6x+9​

Answers

what is rhe vertex of the graph of the function f(x)=x²+6x+9

What is answer to 2 + 3m =

Answers

You can't really do anything with it cause it's fully simplified

Answer:

Nothing you can do because it is already simplified. So yea

Step-by-step explanation:

If y varies directly with x which equation describes x = 72 and y = 36?

Answers

Answer:

k = 1/2

Step-by-step explanation:

direct variation equation is y = kx where 'k' is the constant of variation

substitute 36 for 'y' and 72 for 'x' to get:

36 = 72k

solve for 'k' to get:

k = 36/72 or k = 1/2

Use the Quadratic Formula to solve for x and then determine whether your solution is real or
complex.
y = x2 - 4x + 9
**Remember y = 0**
O Real
o Complex

Answers

Answer:

[tex] {x}^{2} - 4x + 9 = 0 \\ x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x=\frac{-( - 4)\pm\sqrt{( - 4)^2-4(1)(9)}}{2(1)} \\x=\frac{ 4\pm\sqrt{ 16-36}}{2} \\ x=\frac{ 4\pm\sqrt{ - 20}}{2} \\ x=\frac{ 4\pm2i\sqrt{ 5}}{2} \\ x = 2\pm \: i\sqrt{ 5} \\ D = {b^2-4ac} \\D = { 16-36} \\ = - 20 < 0 \rightarrow \: x \in \: \mathbb{C} \: \\ x \: is \: complex [/tex]

Write an algebraic expression to represent the coast of m gallons of gassoline if each gallon coast $1.45

Answers

Answer:

$1.45m

Step-by-step explanation:

The radius of a circle with centre O is 5 cm. The lengths of the chords AB and BC are 6 cm and 8 cm respectively. The midpoints of the chords are X and Y respectively. Find the perimeter of the quadrilateral OXBY. ​

Answers

Answer:

Step-by-step explanation:

AB=6 cm

BX=1/2 AB=1/2 ×6=3 cm

BC=8 cm

BY=1/2×BC=1/2×8=4 cm

perpendicular bisector of a chord always passes through the center.

so quadrilateral OXBY is a rectangle.

Perimeter=2(BX+BY)=2(3+4)=2×7=14 cm.

An inlet pipe on a swimming pool can be used to fill the pool in 15 hours. The drain pipe can be used to empty the pool in 20 hours. If the pool is [tex]\frac{1}{3}[/tex] filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool? Round your answer to two decimal places, if needed.


_____________ hours

Answers

Answer:

40 hours

Step-by-step explanation:

Rate of filling is 1/15Rate of draining is 1/20

If both lines are open the rate of filling is:

1/15 - 1/20 = 4/60 - 3/60 = 1/60 per hour

Since tank is 1/3 full we need to fill the remaining 2/3 of it.

Time required:

2/3 : 1/60 = 2/3*60 = 40 hours

The population of a city decreases by 0.9% per year. If this year's population is 338,000, what will next year's population be, to the nearest individual?​

Answers

Answer:

The population will be 334,958.

Step-by-step explanation:

Multiply 338,000 by 0.009 to get the answer. The reason is to multiply by a percentage, you move the decimal two spots to the left. For example, 0.9 -> 0.009.  Another would be 3 -> 0.03.

The owner of a used car dealership is trying to determine if there is a relationship between the price of a used car
and the number of miles it has been driven. The owner collects data for 25 cars of the same model with different
mileage and determines each car's price using a used car website. The analysis is given in the computer output.
Predictor Coef SE Coef t-ratio
р
Constant 2415712 2164.1 2.965
0.046
Mileage
-0.181 0.024 5.377
0.000
s = 3860.7
R-S = 68.0%
R-Sq (Adi) = 69.59
Using the computer output, what is the value of the coefficient of determination?
00.46
0.68
N
0.70
0.82

Answers

The value of the coefficient of determination is gives the percentage of the variation which is explained by the regression line. The value of the coefficient of determination is the value which is 68%.

The Coefficient of determination is the proportion of change in the regression model caused by the regression line.

From the computer output, the coefficient of determination is denoted as R² ; which is given as 0.68

Expressing the value as a percentage ; 0.68 × 100% = 68%

Therefore, the coefficient of determination is 0.68

Learn more : https://brainly.com/question/25178853

Answer:

B)  .68

Step-by-step explanation:

EDGE

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