find product simplified form: (x√y + z) (x√y - z)

x^2y - z^2
x^2y + 2zx√y - z^2
x^2y - 2^2
x^2y^2 - z^2

Answers

Answer 1

Answer:

[tex]x^{2}y-z^{2}[/tex]

Step-by-step explanation:

Apply [tex](a+b)(a-b) = a^{2} -b^{2}[/tex] where [tex]x\sqrt{y}[/tex] is [tex]a[/tex] and [tex]z[/tex] is [tex]b[/tex].

[tex](x\sqrt{y} )^{2}-z^{2}[/tex]

[tex](x\sqrt{y} )^{2}=x^{2}y[/tex]

[tex]x^{2}y-z^{2}[/tex]

Hope this helps! :]

Answer 2

I really want to thank you for the answer and explanation.


Related Questions

How to solve this with working out please.

Answers

Answer:

11+0.48+0.23=11.71.

If it’s asking for the area then the formula is:
A= 1/2 b*h

A= Area B= Base h= Height

But if it’s asking for the perimeter then the formula is:
P= a+b+c

P= Perimeter A=side B= side C= base

Hope this helps!

Which expressions are equivalent to 4^-2 * 7^-2 Choose 2 answers
A: (4 x 7)^4
B: 1/28^2
C: 7^-2/4^2
D: (4 x 7)^4


please help me, someone

Answers

Answer: B and C

Step-by-step explanation: the expression is 1/784 when u simplify and when u simplify B and C, u will get 1/784 so we can see that B and C is equivalent to the expression

What value of n would make point A the circumcenter?

2

5

4

3​

Answers

The value of n would be 3

Answer:

3

Step-by-step explanation:

edg 2020 says i was right got 100 on test

Evaluate 14 - (2x - y), when x = 3 and y = 2.

Answers

Answer:

-7

Step-by-step explanation:

Plug in your x and y values and use the information

The value of the expression  14 - (2x - y) when x = 3 and y = 2 is 10.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given,  14 - (2x - y) to obtain the value of the expression when x = 3 and y = 2 we'll imply replace the numerical values of x and y which is,

= 14 - (2(3) - 2).

= 14 - 6 + 2.

= 10

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

A fish tank holds 832 gallons but is leaking at a rate of 5 gallons per week. A second fish tank hose 1040 gallons but is leaking any rate of 9 gallons per week after how many weeks with the amount of water in the two fish tanks me the same

Answers

Answer:

Within 52 weeks, the amount of water in the two fish tanks will be the same.

Step-by-step explanation:

First, let's make the two equations equal to each other by placing an equal sign.

832 - 5x = 1040 - 9x

Now, that they are equal to each other, we can solve for x.

Okay, so we can move -5x to the other side by adding both sides with 5x.

832 = 1040 - 4x

Then, subtract 1040 from both sides to move it to the other side.

832 - 1040 = -208

-208 = -4x

Lastly, divide both sides by -4 to get the value of x.

-208/-4 = 52

x = 52

A line passes through the point (3,-1) and has a slope of -2/3. Which of the following points also lies on this line?
A. (9,5)
B. (-3,1)
C. (6,3)
D. (-9,7)

Answers

Answer:

I think its D. -9,7

Step-by-step explanation:

Miguel ran 2 9 10 miles on Monday. On Friday, Miguel ran 5 times as far as he did on Monday. How much farther did Miguel run on Friday than he did on Monday? Miguel ran miles farther on Friday

Answers

Answer:

[tex]11\dfrac{3}{5}$ miles[/tex]

Step-by-step explanation:

Miguel ran [tex]2\dfrac{9}{10}[/tex] miles on Monday.

On Friday, he ran 5 times as far as he did on Monday.

Miles run on Friday

[tex]=5 X 2\dfrac{9}{10}[/tex]

[tex]=5 X \dfrac{29}{10}\\=\dfrac{29}{2}$ miles[/tex]

Difference in Number of Miles Run

[tex]=\dfrac{29}{2}-\dfrac{29}{10}\\=\dfrac{145-29}{10}\\=\dfrac{116}{10}\\=11\dfrac{3}{5}$ miles[/tex]

Therefore, Miguel ran [tex]11\dfrac{3}{5}$ miles[/tex] farther on Friday.

the angles of a quadrilateral are in the ratio 2:3:4:6. find the measure of the angles.

Answers

Answer:

Step-by-step explanation:

2:3:4:6

Angles in a quadilateral 360

2 + 3+4+6 =15

2/15 × 360° =48°

3/15 × 360° = 72°

4/15 × 360° = 96°

6/15 × 360°  = 144°

There are 20 students in class. 12 students are girls; the rest are boys. 5 students wear glasses. What is the probability of a student in the glass being a girl who wears glasses?

Answers

Answer: The probability is 8%

Step-by-step explanation:

Please add a little more detail on what is going on in the problem / question above.

Rob is going 90 mph in a 45. How much faster % is Rob going?

Answers

Answer:

Rob would be going 45 over if he's in a 45

Step-by-step explanation:

90-45=45

And to check your work 45+45=90

There were seven friends playing a video game online when two more players joined the game. If each player had seven lives, how many lives did they have total?

Answers

Answer:

14 lives in total

Step-by-step explanation:

7*7=14

Answer:

63 lives

Step-by-step explanation:

You had 7 players, and two more joined.  Add these together for the total amount of players.

7 + 2 = 9

Now multiply the number of players by the number of lives they each have.

9 × 7 = 63

There are 63 total lives.

What is the sum or difference?
a. 5x4 + 4x4
b. 12x5y − 9x5y

Answers

Answer:

a. 9x^4

b. 3 x^5y

Step-by-step explanation:

a. 5x^4 + 4x^4

Combine like terms

9x^4

b. 12x^5 y − 9x^5 y

Subtract like terms

  3 x^5y

A 12​-tooth gear on a motor shaft drives a larger gear having 42 teeth. If the motor shaft rotates at 700 ​rpm, what is the speed of the larger​ gear? The speed of the larger gear is nothing rpm.

Answers

Answer:

203 rpm

Step-by-step explanation:

The speed of the larger gear can be calculated using the following equation:

[tex] v = \omega*R [/tex]  

Where:

ω: is the angular velocity of the motor = 700 rpm

R: is the gear ratio

The gear ratio is the following:

[tex] R = \frac{n_{(a)}}{n_{(b)}} [/tex]  

Where:

n(a): is the number of teeth on the small gear = 12 teeth  

n(b): is the number of teeth on the larger gear = 42 teeth

The gear ratio is:

[tex]R = \frac{12}{42} = 0.29[/tex]

Now, the speed of the larger gear is:

[tex]v = \omega*R = 700 rpm*0.29 = 203 rpm[/tex]

Therefore, the speed of the larger gear is 203 rpm.

I hope it helps you!                        

Ajar contains 3 red, 4 blue, and 5 white marbles. What is the probability of drawing first a red and then, without
replacement, a white marble?
5/44
31/44
5/48​

Answers

Answer:

5/44

Step-by-step explanation:

3 red, 4 blue, and 5 white = 12 marbles

P(red) = number of red / total

          = 3/12 = 1/4

no replacement

2 red, 4 blue, and 5 white = 11 marbles

P(white) = number of white / total

             = 5/11

P(red, no replacement, whit) = 1/4*5/11 = 5/44

A cylinder has a height of 13 feet and a radius of 9 feet. What is its volume? Use A 3.14
and round your answer to the nearest hundredth.
cubic feet
Submit
Not feeling ready yet? This can help:
Ars of crcles 152)
earch​

Answers

Answer:

A cylinder has a height of 13 feet and a radius of 9 feet. What is its volume? Answer is  V≈3308.1ft³

A girl is flying a kite with a 120ft string attached to the ground is flying directly Selena’s head is standing 24 ft from where the kite is attached to the ground if seleana is 6ft y’all how far above her head is the kite

Answers

Answer:

111.58 feet

Step-by-step explanation:

Given that the length of the string (AB in the attached diagram) is 120 feet.

Selena (at point D) is standing 24 feet from point A, where the kite is attached to the ground.

Since the kite is directly above Selena's head, the problem forms a right triangle.

Using Pythagoras theorem

[tex]|AB|^2=|BD|^2+|AD|^2\\120^2=|BD|^2+24^2\\|BD|^2=120^2-24^2\\|BD|^2=13824\\|BD|=\sqrt{13824} \\|BD|=117.58$ ft[/tex]

Serena's height (CD=6 feet)

The distance of the kite above her head is BC in the drawn diagram.

Therefore:

|BD|=|BC|+|CD|

117.58=|BC|+6

|BC|=117.58-6

|BC|=111.58 feet

The kite is approximately 111.58 feet above Selena's head/

An arc that lies between the two sides of a central angle is called _____

Answers

Answer:

A minor arc

Step-by-step explanation:

Answer:

minor arc

Step-by-step explanation:

Can someone help me please? Thanks!! :)

Answers

Answer:

The answer on the top is the best line for a line of best fit because...

Step-by-step explanation:

there is a noticeable correlation in the first graph- a positive one. The line of best fit should have about the same amount of line plots on the top than on the bottom. Also, there can be a few line plots that is touching the line of best fit as well. Those line plots will be about the middle of the data and provide a good guideline to make your line of best fit the most accurate. The second graph is pretty scattered and doesn't have a clear correlation therefore having no correlation. Hope this helps!!

HELP PLZ HURRY!!!!!!!!!!!!

Answers

Answer:   D

d. because they are not subtracted(C), the two fractions do not add up to 13(B), and the number is not equal to 2(A).

4 2/3 ÷ 4/3


Solve this

Answers

Answer:

3 1/2 if you need decimal then 3.5

Step-by-step explanation:

sorry if wrong

but tell me if I am correct

ASAP plz it's a volume question

find the side x (it is a cube)

Answers

[tex] {x}^{3} = 74.088 \\ x = \sqrt[3]{74.088} \\ x = 4.2[/tex]

Answer:

4.2 cm

Step-by-step explanation:

The side of a cube cubed is equal to the volume.

a³ = V

The volume is already given, solve for the side.

a³ = 74.088

a = ∛74.088

a = 4.2

The side x is 4.2 centimeters.

If the area of a square is 16 square feet, how long are the sides? ​

Answers

Answer:

4 square feet each.

Step-by-step explanation:

A square is 4 times 4 so if you divide 16 divided by 4 it is 4.

Answer:

The sides are going to 4 square feet long.

Step-by-step explanation:

This is true because since a square has equal length sides. And there are 4 sides. So divided 4 by 16 to get 4. So, the answer is 4 square feet long.

Mark brainliest if ya don't mind!

Which of the following equations have infinitely many solutions?
Choose all answers that apply:

A 6x+35=-6x-35

B -6x+35=-6x+35

C 6x+35=-6x+35

D -6x+35=-6x-35
Please answer ASAP

Answers

Answer:

B -6x+35=-6x+35

Step-by-step explanation:

Let's analyze the options:

A ........................

6x+35=-6x-35 6x + 6x = -35 - 3512x = - 70x = -70/12

This one has one solution

B  ........................

-6x+35=-6x+35 - 6x + 6x = 35 -350 = 0

This one has infinitely many solutions as results in true equation for any value of x

C  ........................

6x+35=-6x+35 6x + 6x = 35 -3512x = 0x = 0

This one has one solution

D  ........................

-6x+35=-6x-35-6x +6x = - 35 - 350 = -70

This one has no solutions as results in false equation for any value of x

Here is a list of numbers. 6 7 2 4 6 6 9 5 3 3 find the mean and median

Answers

Mean= 5.1 (Sum of all the terms/number of terms)

‭( 6   +   7   +   2   +   4   +   6   +   6   +   9   +   5   +   3   +   3 )   ÷   10 =‬  5.1

Median= 5.5 (The middle term when you order them from lowest to highest)

2 3 3 4 5 6 6 6 7 9

Step-by-step explanation: The mean of a data set is equal tot he sum of the set of numbers divided by however many numbers are in the set.

So to find the mean of the data set shown here,

let's begin by adding the numbers.

So we have 6 + 7 + 2 + 4 + 6 + 6 + 9 + 5 + 3 + 3.

Adding the numbers, we get 51.

Now, 51 will be divided by the number

of numbers in the set which is 10.

So 51 divided by 10 gives us 5.1.

So the mean of the data set is 5.1.

Now, the median is the middle number in the data set

when the data set is written from least to greatest.

So let's write our data set from least to greatest.

So we have 2, 3, 3, 4, 5, 6, 6, 6, 7, 9.

Notice that there are two numbers in the middle, 5 and 6.

In this situation, add the numbers and divide by 2.

So 5 + 6 is 11 and 11 divided by 2 is 5.5.

So the median is 5.5.

Betty has a checking account and a non-interest bearing savings account. The function C(x), shown below, represents her checking

account balance, where x is the number of months. The function S(x), shown below, represents her saving account balance.

C(x) = -2401 - 140 + 1,400

S(s) = 4503 + 100

Which function represents Betty's total account balance. T(x)?

Answers

Answer:

T(x) or total account balance = C(x) + S(x)

Step-by-step explanation:

where = C(x) = -2401 - 140 + 1,400  

and

S(x) = 4503 + 100

This implies that:

C(x) = 3,661

S(x) = 4,603

Therefore, T(x) 3,661 + 4,603 = 8,264

T(x) is the total account balance or the addition of the balances of checking and saving accounts.

C(x) is the checking account balance.

S(x) is the saving account balance.

Answer

(On attachment)

Step-by-step explanation:

STRUCTURE Write the ratio of the side lengths of the two cubes described in simplest form. a. The volumes of the two cubes are 270x cubic inches and 32x2 cubic inches. b. The surface areas of the two cubes are 6x4 square feet and 6(x + 1) square feet.

Answers

Answer:

a) [tex]2.036x^-\frac{1}{3}[/tex]

b) [tex]\frac{x^2}{\sqrt{x+1} }[/tex]

Step-by-step explanation:

For a cube, all the sides are equal. Let the length of each side be L

a) The volume of a cube (V) = L³

For the first cube:

V = 270x in³

270x = L³

L = ∛(270x) = [tex]6.463x^\frac{1}{3}[/tex]

For the second cube:

V = 32x² in³

32x² = L³

L = ∛(32x²) = [tex]3.175x^\frac{2}{3}[/tex]

Ratio of length = [tex]\frac{6.463x^\frac{1}{3} }{3.175x^\frac{2}{3} }=2.036x^-\frac{1}{3}[/tex]

b) The surface area of a cube (s) = 6L²

For the first cube:

s = 6x⁴ ft²

6x⁴ = L²

L = √6x⁴= 2.45x²

For the second cube:

s = 6(x + 1) ft²

6(x + 1) = L²

L = √6(x + 1)= 2.45√(x + 1)

Ratio of the length = [tex]\frac{2.45x^2}{2.45\sqrt{ (x + 1)}} =\frac{x^2}{\sqrt{x+1} }[/tex]

The tangent of angle X is 2.246.
Work out the size of angle X.
Give your answer to the nearest degree.
____ °

Answers

Tangents are slopes, and there are two angles with the same slope that are 180 degrees apart, not to mention an infinite number of coterminal brethren all with the same tangent.  So this question is a bit ambiguous.

Let's assume they want the principal value of the inverse tangent, between -90 degrees and +90 degrees.  A tangent bigger than 1 means it will be between 45 and 90 degrees.

tan x = 2.246

x = arctan 2.246 = 66.00 degrees

Answer: 66

The rubber track for a toy digger goes around four circular wheels of diameter 8 cm, as shown. (b) Calculate the length of the rubber track that goes around the four wheels. Give your answer correct to one decimal place.

Answers

Answer:

73.1 cm

Step-by-step explanation:

In the drawing, the rubber track is in black and the wheels are in light gray.

As we can see in the figure, the rubber track will have a length of two halfs of a circunference of radius 8 cm plus six diameters of 8 cm. So the total length is:

Length of rubber track = pi * 8 + 6 * 8 = 25.13 + 48 = 73.133 cm

Rounding to one decimal place, we have that the length is 73.1 cm

This question is incomplete because it lacks the diagram of the 4 circular wheels.

Find attached to this answer the appropriate diagram

Answer:

100.5cm

Step-by-step explanation:

The formula to be used in this calculation is the circumference of a circle.

The circumference of a circle can be defined as the actual length of a circle when it is stretch out(opened up) or the distance around a circle.

The formula for the circumference of a circle is given as 2πr where r = radius of the circle

Or πD where D = Diameter of the circle

In the question, we are given the diameter of the circle = 8cm

So we use the Formula

= πD

The length of the rubber track around one wheel is

= π × 8cm = 25.132741229cm

From the attached diagram, we can see we have 4 wheels.

The length of the rubber track that goes around the four wheels is calculated as

4 × 25.132741229cm = 100.53096491cm.

Approximately to one decimal place = 100.5cm

Therefore, the length of the rubber track that goes around the four wheels to one decimal place is 100.5cm

Harper uploaded a funny video of her dog onto a website.
The relationship between the elapsed time, tea, in days since the videos first uploaded, and the total number of views, V(d) that the video received is modeled by the following function
V(d)=4^1.25d
How many views will the video receive after 6 days ? Round the answer to the nearest hundredth

Answers

Answer:

32,768 views

Step-by-step explanation:

Given the relationship between the elapsed time, tea, in days since the videos first uploaded, and the total number of views, V(d) that the video received modeled by the following function

V(d)=[tex]4^{1.25d}[/tex]

In order to know the number of views the video will receive after 6 days, we will substitute the number of days i.e d = 6 into the modeled equation as shown;

[tex]V(6)=4^{1.25(6)}\\V(6)=4^{7.5}\\V(6) = 32,768views[/tex]

Answer:

32,768

Step-by-step explanation:

If triangle ABC defined by the coordinates A(1,1), B(9,1), C(1,9) is dilated by a scale factor of 1/2

Answers

Answer:

The transformed points of the triangle ABC are [tex]A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)[/tex], [tex]B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)[/tex], [tex]C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)[/tex]

Step-by-step explanation:

The new points after applying the scale factor are, respectively:

[tex]A' (x,y) = \frac{1}{2}\cdot (1,1)[/tex]

[tex]A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)[/tex]

[tex]B' (x,y) = \frac{1}{2}\cdot (9,1)[/tex]

[tex]B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)[/tex]

[tex]C'(x,y) = \frac{1}{2}\cdot (1,9)[/tex]

[tex]C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)[/tex]

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