What is the form of the Sum of Cubes identity?

→Answer:

8T - 7lb - 6oz

→Step-by-step explanation:

So 17T 13lb 3oz - 9T 20lb 9oz

This information is asking us to simplify the expression.

To do that we need to combine like terms meaning If t and t are alike variables they go together.

And in this expression we have 3 pairs of alike variables which are T, lb, and oz.

So we need to subtract all the like terms.

_____________

17T - 9T is 8T

13lb - 20lb is -7lb

3oz - 9 oz is -6oz

______________

So,

The expression now shows 8T - 7lb - 6oz.

___________________I do hope this helps!________________

_____________Brainliest is always appreciated!_____________

Answer:

0.6 - 1/4

Convert the decimal to fraction

Thus

0.6 = 3/4

3/5 - 1/4

Find the LCM

the LCM is 20

We get

3/5 - 1/4 = (3(4) - 5)/ 20

= 12-5/20

= 7/20

2/5 + 0.75

0.75 = 3/4

Find the LCM

The LCM is 20

Thus

3/4 +2/5 = ( 3(5) + 2(4))/20

= 15 + 8 /20

= 23 / 20 or 1 3/20

1.75 - 1/6

Convert the decimal to fraction

1.75 = 7/4

Thus we get

7/4 - 1/6

Find the LCM

The LCM is 12

Thus

7/4 - 1/6 = ( 7(3) - 2)/12

= 21 - 2 / 12

= 19/ 12 or 1 7/12

3/10 + 2.125

Convert the decimal to fraction

2.125 = 17/8

Thus

3/10 + 17/8

Find the LCM

the LCM is 40

Thus

3/10 + 17/8 = ( 3(4) + 17(5))/40

= 12 + 85/40

= 97 /40 or 2 17/40

Hope this helps

Answer:

1.15

19/12

2.425

Step-by-step explanation:

2/5+0.75

2/5=4/10

4/10=0.4

0.75+0.4

1.15

1.75-1/6

1.75=7/4

7/4=14/8=21/12

21/12-2/12

19/12, or 1.5833...

3/10=0.3

0.3+2.125=2.425

Answer:

14.86 knots.

Step-by-step explanation:

Given that:

The boats leave the port at noon.

Speed of boat 1 = 12 knots due east

Speed of boat 2 = 8 knots due south

At 2 pm:

Distance traveled by boat 1 = 24 units due east

Distance traveled by boat 2 = 16 units due south

Now, speed of boat 1 changes to 9 knots:

At 3 pm:

Distance traveled by boat 1 = 24 + 9= 33 units due east

Distance traveled by boat 2 = 16+8 = 24 units due south

Now, speed of boat 1 changes to 8+7 = 15 knots

At 5 pm:

Distance traveled by boat 1 = 33 + 2[tex]\times[/tex] 9= 51 units due east

Distance traveled by boat 2 = 24 + 2 [tex]\times[/tex] 15 = 54 units due south

Now, the situation of distance traveled can be seen by the attached right angled [tex]\triangle AOB[/tex].

O is the port and A is the location of boat 1

B is the location of boat 2.

Using pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units[/tex]

so, the total distance between the two boats is 74.28 units.

Change in distance per hour = [tex]\dfrac{Total\ distance}{Total\ time}[/tex]

[tex]\Rightarrow \dfrac{74.28}{5} = 14.86\ knots[/tex]

Answer:

B and C are the answers

Step-by-step explanation:

Answer:

57°

Step-by-step explanation:

Δ AOB has 2 equal sides as radius of the circle, this is isosceles triangle

So the angles ∠OAB= ∠OBA

∠AOB= 66° and sum of 3 angles = 180°

So  ∠OAB= (180° - 66°)/2= 57°

Answer:

6x²-2=13

6x²=13+2=15( transposition method)

x²=15/6

x=√15/6

Answer:

It is the second one.

Step-by-step explanation:

6x²=17

x²=17/6

x=±sqrt(15)/6

Answer:

multiplication property of equality

Step-by-step explanation:

Since we are multiplying by the same amount on each side, we are using the multiplication property of equality

Answer: Multiplication Property of Equality

Step-by-step explanation:

This property states that while simplifying an expression, you can multiply both sides of the equation by any number, and it will stay true.  This property is useful here, because multiplying a fraction by its reciprocal = 1, so the expression would become 1x=-128.

Hope it helps <3

Answer:6z

Step-by-step explanation:

Question:

(4x - 5y + 3z) + (-4x +5y +3z)

First Step:

Remove parenthesis

4x - 5y + 3z + -4x +5y +3z

Second Step:

Add like terms

4x + -4x = 0

-5y + 5y = 0

3z + 3z = 6z

Final Answer

6z

<!> Brainliest is much Appreciated! <!>

Answer:

6z

Step-by-step explanation:

(4x - 5y + 3z) + (-4x +5y +3z)

Combine like terms

4x - 4x   -5y +5y  +3z+3z

0+0+6z

6z

Answer: A. (-3,7)

Step-by-step explanation:

No work needed, you just need to look at the coordinate plane.

Coordinate II is x as a negative and y as a positive

Answer:

D, (5,-1)

5 is in the x axis

-1 is in the y axis

This point is it the second quadent

Hope this helps ( if incorrect try a)

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the SURFACE AREAS AND VOLUMES.

Since the given section is a Sector of a Circle with length as, 8πcm .

Thus then it's folded veltically at an axis to make a cone.

since we know that, The Curved surface area of a cone is given as formula,

C.S.A = πrl

where, r = radius and l = slant height.

also 2πr = circumference of a circle,

we get as, radius = 4 cm.

Answer:

r = 4 cm

Step-by-step explanation:

AB is actually the circumference of the circle

So,

Circumference = 8π cm

Whereas,

Circumference = 2πr

8π = 2πr

Dividing both sides by 2π

=> r = 4 cm

Answer:

f=4

Step-by-step explanation:

6f = 24

÷6    ÷6

f=4

Answer:

f = 4

Step-by-step explanation:

6f = 24

f = 24/6

f = 4

Answer:

326 kg

Step-by-step explanation: weight of the motorcycle: 237 kg

Mass of the rider: 89 kg

Total mass: 237+89:326 kg

Answer:

326 kg

Step-by-step explanation:

tbh im lazy to type it in i owe u a explanation

Answer:

x = 1

Step-by-step explanation:

This is a 30-60-90 triangle, which means that if the long leg is the square root of 3, the hypotenuse is 1.

Answer:

X=1

Step-by-step explanation:

Answer:

12 3/5

Step-by-step explanation:

Distributive property is when you take a number for example 3 and multiple all of the numbers inside the () in this case 4 1/5

1. multiple 3 by 4 =12

2 multiple3 by 1/5= 3/5

3 write your awnser 4 3/5

Hoped this helped

Answer:

(10, 14)

Step-by-step explanation:

To solve this system let's use substitution:

Solve the first equation for x, obtaining x = 24 - y, and then substitute 24 - y for x in the second equation:

3(24 - y) + 5y = 100

Performing the indicated multiplication, we get:

72 - 3y + 5y = 100

Combining like terms results in 72 - 100 = -2y, or -28 = -2y

Thus, y must be 14.

If y = 14, then the first equation tells us that x = 10.

Check:  Is this true?  3(10) + 5(14) = 100  YES

The solution is (10, 14).

What was it about the questions on the best that you were supposed to compare to this solution?

Answer:

B. The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

Assuming that this is the one on edge, it should be this answer!

Answer:

If they are opposite.

Answer:

[tex] x \: \sqrt[5]{ {y}^{5} } [/tex]

Step-by-step explanation:

[tex] \sqrt[5]{ {x}^{5} {y}^{5} } \\ \\ = ({x}^{5} )^{ \frac{1}{5} } \sqrt[5]{ {y}^{5} } \\ \\ = {x}^{5 \times \frac{1}{5} } \times \sqrt[5]{ {y}^{5} } \\ \\ = x \: \sqrt[5]{ {y}^{5} } [/tex]

Answer:

Circle Circumference: 5

Triangle: 8

Circle Area: 3

Regular Polygon: 7

Parallelogram:6

Equilateral triangle: 1

Trapezoid:4

Rectangle:2

Step-by-step explanation:

I don't know how I would do a step by step explanation

Answer:

for the first one ‘x‘: x = -3/2 y -3

for the first one ‘y’: y = -2/3x-2

for the second one ‘x’: x= 2/3 y + -22/3

for the second one ’y’: y = 3/2 x + 11

Step-by-step explanation:

Answer:

Step-by-step explanation:

a.  

L

=

329.9

c

m

2

;

S

=

373.9

c

m

2

.

b.  

L

=

659.7

c

m

2

;

S

=

483.8

c

m

2

.

c.  

L

=

659.7

c

m

2

;

S

=

813.6

c

m

2

.

d.  

L

=

329.9

c

m

2

;

S

=

483.8

c

m

2

.

Surface Area of a Cone:

In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.

The height of the cone is the length of a line segment that joins the base to the vertex of the cone.

The radius of the cone is the same as the radius of the base.

Surface area of a cone

(a) Lateral Surface Area

If  

l

and  

r

are the slant height and radius of a cone then its lateral surface area is given by the formula-

L

=

π

r

l

where  

L

is the lateral surface area of the cone

(b) Total surface area

It is the sum of the area of the circular base and the lateral surface area of the cone.

S

=

L

+

π

r

2

S

=

π

r

l

+

π

r

2

Where  

S

is the total surface area of the cone

Answer and Explanation:

Given that the radius and slant height of a right cone is  

7

c

m

and  

15

c

m

respectively

r

=

7

c

m

l

=

15

c

m

So the lateral surface area of the cone-

L

=

π

r

l

L

=

π

(

7

)

(

15

)

L

=

105

π

L

=

105

(

3.14159

)

L

=

329.866

L

≈

329.9

c

m

2

And the total surface area of the cone-

S

=

L

+

π

r

2

S

=

329.9

+

π

(

7

)

2

S

=

329.9

+

49

(

3.14159

)

S

=

329.9

+

153.937

S

=

483.83

c

m

2

So the lateral area and total area of a right cone are  

329.9

c

m

2

and  

483.8

c

m

2

respectively.

Answer:

Step-by-step explanation:

Step-by-step explanation:

a.  

L

=

329.9

c

m

2

;

S

=

373.9

c

m

2

.

b.  

L

=

659.7

c

m

2

;

S

=

483.8

c

m

2

.

c.  

L

=

659.7

c

m

2

;

S

=

813.6

c

m

2

.

d.  

L

=

329.9

c

m

2

;

S

=

483.8

c

m

2

.

Surface Area of a Cone:

In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.

The height of the cone is the length of a line segment that joins the base to the vertex of the cone.

The radius of the cone is the same as the radius of the base.

Surface area of a cone

(a) Lateral Surface Area

If  

l

and  

r

are the slant height and radius of a cone then its lateral surface area is given by the formula-

L

=

π

r

l

where  

L

is the lateral surface area of the cone

(b) Total surface area

It is the sum of the area of the circular base and the lateral surface area of the cone.

S

=

L

+

π

r

2

S

=

π

r

l

+

π

r

2

Where  

S

is the total surface area of the cone

Answer and Explanation:

Given that the radius and slant height of a right cone is  

7

c

m

and  

15

c

m

respectively

r

=

7

c

m

l

=

15

c

m

So the lateral surface area of the cone-

L

=

π

r

l

L

=

π

(

7

)

(

15

)

L

=

105

π

L

=

105

(

3.14159

)

L

=

329.866

L

≈

329.9

c

m

2

And the total surface area of the cone-

S

=

L

+

π

r

2

S

=

329.9

+

π

(

7

)

2

S

=

329.9

+

49

(

3.14159

)

S

=

329.9

+

153.937

S

=

483.83

c

m

2

So the lateral area and total area of a right cone are  

329.9

c

m

2

and  

483.8

c

m

2

respectively.

Answer:

No.  She only estimated instead of hovering over the intersection to find the exact point.

Step-by-step explanation:

I used a graphing tool to graph the two lines. They pass at (6.25, -6.25). Since Keisha said the solution was (6, -6), which is not correct, she has most likely rounded the two values instead of finding the exact one.

Answer:

No. She used the wrong slopes when graphing the equations.

hope this helps i did it in Edge and got it right

mark me brainliest pls

Answer:

n = √2/8

Step-by-step explanation:

1/4 × √ 2 = 2n

√2/4 = 2n

√2 = 4×2n

8n = √2

n = √2/8

The value of n in

[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]

is n = √2 / 8

The given equation is:

[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]

Multiply through by 4

[tex] \sqrt{2} = 4(2n)[/tex]

This can be further simplified as

[tex] \sqrt{2} = 8n[/tex]

[tex] \frac{ \sqrt{2} }{8} = \frac{8n}{8} [/tex]

The like terms cancel out

[tex]n = \frac{ \sqrt{2} }{8} [/tex]

Therefore, the value of n in

[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]

is

[tex]n = \frac{ \sqrt{2} }{8} [/tex]

Learn more here: https://brainly.com/question/2956399

Answer:

c is right

Step-by-step explanation:

Answer:

[tex] \boxed{\sf (8x + y)(2x + 3y)} [/tex]

Step-by-step explanation:

[tex] \sf Factor \: the \: following: \\ \sf \implies {(5x + 2y)}^{2} - {( 3x - y)}^{2} \\ \\ \sf Factor \: the \: difference \: of \: two \: squares. \\ \sf {(5x + 2y)}^{2} - (3x - y)^{2} = ((5x + 2y) + (3x - y)) \\ \sf ((5x + 2y) - (3x - y)) : \\ \sf \implies ((5x + 2y) + (3x - y))((5x + 2y) - (3x - y)) \\ \\ \sf Grouping \: like \: terms, \: 5x + 2y + 3x - y = \\ \sf (5x +3x) + (2y - y) : \\ \sf \implies \boxed{ \sf( (5x +3x) + (2y - y))}((5x + 2y) - (3x - y) \\ \\ \sf 5x + 3x = 8x : \\ \sf \implies (\boxed{ \sf 8x} + (2y - y))((5x + 2y) - (3x - y)) \\ \\ \sf 2y - y = y : \\ \sf \implies (8x + \boxed{ \sf y})((5x + 2y) - (3x - y)) \\ \\ \sf - (3x-y)=y-3x: \\ \sf \implies (8x + y)(5x + 2y + \boxed{ \sf y - 3x}) \\ \\ \sf Grouping \: like \: terms, \: 5x + 2y + y - 3x = \\ \sf (5x - 3x)(2y + y) : \\ \sf \implies (8x + y) + \boxed{ \sf ((5x - 3x)(2y + y))} \\ \\ \sf 5x - 3x = 2x : \\ \sf \implies (8x + y)( \boxed{ \sf 2x} + (2y + y)) \\ \\ \sf 2y + y = 3y : \\ \sf \implies (8x + y)(2x + \boxed{ \sf 3y})[/tex]

Answer:

(8x+y)(2x+3y)

Step-by-step explanation:

see attached

Step-by-step explanation:

2x+3y=-14------equation i ×1

3x+y=-14--------equation ii ×3

2x+3y=-14

9x+3y=-42

-7x =- 28

x=4

Substitute for x in equation ii

3x+y= -14

3(4)+y=-14

12+y=-14

y=-14-12

y=- 26

Answer:

The statement is true

Step-by-step explanation:

We have been given an equation of hyperbola

In the given equation of hyperbola center is located at h at -1 and k at 2. so:

C:(h,k) = (-1,2)

Coordinated of the foci of the hyperbola are given as:

Foci: (h, k ± c)

Substitute the values of h and k into the coordinated of foci of hyperbola.

Foci: (-1, 2 ± c)

Where c can be found by using the given formula

c = √(a²+b²)

c = √(16+144)

c = 4√10

So the the coordinates of the foci are:

Foci: (-1, 2 - 4√10) and (-1, 2 + 4√10)

Thus, the statement given is true

Answer:

A. 4 people

Step-by-step explanation:

Numbers 15, 3, 1, and 21 are all in common with C & D. This is totaled up to 4 people.

Answer: 4

Step-by-step explanation:

edge

Answer:

[tex]\dfrac{16}{225}[/tex].

Step-by-step explanation:

It is given that,

Number of red markers = 3

Number of blue markers = 5

Number of yellow markers = 3

Number of black markers = 4

Total markers = 3 + 5 + 3 + 4 = 15

Probability of getting a black marker is

[tex]P(Black)=\dfrac{\text{Number of black markers}}{\text{Total markers}}[/tex]

[tex]P(Black)=\dfrac{4}{15}[/tex]

Probability of choosing two black markers if the first marker is put back before the second is drawn, is

Required probability [tex]=P(Black)\times P(Black)[/tex]  

                      [tex]=\dfrac{4}{15}\times \dfrac{4}{15}[/tex]

                      [tex]=\dfrac{16}{225}[/tex]

Therefore, the  probability of choosing two black markers if the first marker is put back before the second is drawn, is [tex]\dfrac{16}{225}[/tex].

Answer:

work is shown and pictured

yes

1.-3

2.3

3.10

4.2

5.3