Does anyone know how to solve this question. Coach kunal stacks all of the tennis balls in a square pyramid. The number of tennis balls, P(n), in n layers of the square pyramid is given by P(n) = P(n - 1) + n^2. Which could not be the number of tennis balls Coach Kunal has? A. 30 B. 5 C. 14 D. 9

Answers

Answer 1

Answer:

D. 9

Step-by-step explanation:

From the question, we are given the following information:

The number of tennis balls represented by P(n), in n layers of the square pyramid is given as

P(n) = P(n - 1) + n²

In other to solve for n, we would be taking some values for n

Step 1

Let's take the first layer,

n is represented by 1

n = 1

P(1) = P(1 - 1) + 1²

P(1) = 1 tennis ball.

Step 2

Let's take the second layer

n is represented by 2

P(2) = P(2 - 1) + 2²

P(2) = P(1) + 2²

Note that: P(1) above = 1

P(2) = 1 + 2²

P(2) = 5 tennis balls

Step 3

Let's take the third layer

n is represented by 3

P(3) = P(3 - 1) + 3²

P(3) = P(3 - 1) + 3²

P(3) = P(2) + 3²

Note that: P(2) above = 5

P(3) = 5 + 3²

P(3) = 14 tennis balls

Step 4

Let's take the fourth layer

n is represented by 4

P(4) = P(4 - 1) + 4²

P(3) = P(4 - 1) + 4²

P(3) = P(3) + 4²

Note that: P(3) above = 14

P(3) = 14 + 4²

P(3) = 30 tennis balls

We can continue this process, on and on

From the above solution for the number of the tennis balls in first four layers will be: 1, 5, 14, 30,

Hence, the number of tennis balls that Coach Kunal could not have is 9.


Related Questions

due in 5 min need help please ?

Answers

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:

If two similar cones have volumes of 320 cm³ and 1,080 cm³, find the scale factor.
A. 1/3
B. 2/3
C. 3/4
D. 7/8​

Answers

Answer:

B. 2/3

Step-by-step explanation:

The scale factor is B.2/3

What value from the set {2, 4, 6, 8} can be substituted for x to make an inequality x > 7 true?

Answers

Answer:

8

Step-by-step explanation:

8 is greater than 7

Help me answer this PLEASE !!

Answers

Answer:

1. A = 2184 yd. P = 212 yd.

Step-by-step explanation:

1. To find the perimeter of an object you need to do this formula: 2L * 2W which is 2 times the length times 2 times the width.

To find the Area you have to do this formula: H * W which means height times width.

2. They would need the area to fill the rectangle since you need to fill it and the area is the inside of the rectangle

3. She will need the perimeter since she is walking around the field and the perimeter is the outside (around) the shape.

Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots. At 2 pm the wind diminishes and Boat 1 now sails at 9 knots. At 3 pm, the wind increases for Boat 2 and it now sails 7 knots faster. How fast (in knots) is the distance between the two ships changing at 5 pm. (Note: 1 knot is a speed of 1 nautical mile per hour.)

Answers

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]

Work out the value of n 1/4 × √ 2 = 2 n | 1/4 is a fraction

Answers

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

A factory can work its employees no more than 6 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve
the inequality to determine the range in hours if the work day is 6.5 hours. Show all of your
work and explain each of your steps. Explain your answer.

Answers

Answer:

13<x<39 (range of hours)

Step-by-step explanation:

2<x<6 (x is the range of days)

Since each workday is 6.5 hours, multiply everything by 6.5:

13<x<39 (the new x is the range of hours)

I need help thank you!!

Answers

Answer:

1

Step-by-step Explanation

Step-by-step Explanation

[tex] \huge{ \red{ \csc \: \frac{\pi}{2}} = \purple{ 1}} \\ [/tex]

Answer is 1 like the guy above me said^

Identify the lateral area and surface area of a right cone with radius 7 cm and slant height 15 cm a. L = 329.9 cm2 ; S = 373.9 cm2 b. L = 329.9 cm2 ; S = 483.8 cm2 c. L = 659.7 cm2 ; S = 483.8 cm2 d. L = 659.7 cm2 ; S = 813.6 cm2

Answers

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.

PRE CALC PLEASE HELP PLEASE

Answers

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

Given the following system of equations, solve it by using substitution and elimination. Do
you get the same answer? Why or why not? Explain using complete sentences.
2x+3y = -14
3x + y =-14

Answers

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

On a piece of paper, graph y - 3 > 2x + 2. Then determine which answer choice matches the graph you drew. A. Graph A B. Graph B C. Graph C D. Graph D

Answers

Answer: Graph C

Step-by-step explanation:

The correct graph is C.

What is an inequality?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given : On a piece of paper, graph y - 3 > 2x + 2.

To find : determine which answer choice matches the graph you drew,

y - 3 > 2x +  2

y > 2x + 5

x = 0

y > 5

x = - 3

y > - 1

at x = 0,  y = 5

0 < 5

origin does not lie in the shaded region,

as y > 2x + 5

line y = 2 x+ 5 is not part of solution (dotted line)

Hence Graph C is correct

Learn more about linear inequalities click;

brainly.in/question/14103805

#SPJ7

In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression? Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. Repeat part (b) using a confidence level of 80%. Compare the confidence levels from parts (b) and (c) and identify the interval that is wider. Why is it wider?

Answers

Answer:

( a ) 463 " human resource professionals " believe that the appearance of a job applicant is most important for a good first impression

( b )  Percent wise the confidence interval should be from about 86.6% to 93.4%

Step-by-step explanation:

I believe these first two parts here is sufficient enough to get you started!

" In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. Part A: Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression?

Part B: Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. "

_____

( a ) We are given that n = 514, and p = 90%. The number of human resource professionals that said that the appearance of a job applicant is most important for a good first impression, should be the following -

514 x [tex]\frac{90}{100}[/tex]

= [tex]\frac{46260}{100}[/tex]

= 462.6

As the count of people can't be expressed as a fraction, the solution should be about 463 " human resource professionals. "

_____

( b ) Here the confidence level is 0.99 percent. Knowing that -

1 - ∝ = 0.99,

∝ = 1 - 0.99... = 0.01

Therefore, a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression should be calculated as directed in the attachment. By that the interval ranges as such -

0.8659 < p < 0.9341

And percent wise the confidence interval should be from about 86.6% to 93.4%

Given the function f(x) = | -2x + 4 |. Complete the table.
-the table is in the picture provided help me complete it please (algebra 1)

Answers

Answer:

See below.

Step-by-step explanation:

To complete the table, start by copying the given function.

f(x) = |-2x + 4|

Now let's start with the first line of the table: x = 6.

You are finding the value of function f when x = 6.

Replace x with 6 and evaluate the expression.

f(6) = |-2(6) + 4|

f(6) = |-12 + 4|

f(6) = |-8|

f(6) = 8

Second line of table:

x = -1

f(x) = |-2x + 4|

f(-1) = |-2(-1) + 4|

f(-1) = |2 + 4|

f(-1) = |6|

f(-1) = 6

For the third and fourth lines, you are given a y value, or the value of function f, and you are looking for x. Now you use the given value to set the function equal to, and you solve for x.

Line 3: f(x) = 4

f(x) = |-2x + 4|

|-2x + 4| = 4

-2x + 4 = 4   or   -2x + 4 = -4

-2x = 0   or   -2x = -8

x = 0    or   x = 4

Line 4: f(x) = 14

f(x) = |-2x + 4|

|-2x + 4| = 14

-2x + 4 = 14   or   -2x + 4 = -14

-2x = 10   or   -2x = -18

x = -5    or   x = 9

The table looks like this:

x          f(x)

6         8

-1         6

0,4      4

-5, 9     14

[tex] \end{center} [/tex]

For the given function f(x) = | -2x + 4 |, the data is shown in the table below.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that the function is,  f(x) = | -2x + 4

Let's begin with the table's first line: x = 6, When x equals 6, you are determining the value of function f. Evaluate the equation after substituting 6 for x.

f(6) = |-2(6) + 4|

f(6) = |-12 + 4|

f(6) = |-8|

f(6) = 8

For the Second line of the table,

x = -1

f(x) = |-2x + 4|

f(-1) = |-2(-1) + 4|

f(-1) = |2 + 4|

f(-1) = |6|

f(-1) = 6

The third line of the table,

f(x) = 4

f(x) = |-2x + 4|

|-2x + 4| = 4

-2x + 4 = 4   or   -2x + 4 = -4

-2x = 0   or   -2x = -8

x = 0    or   x = 4

Line 4: f(x) = 14

f(x) = |-2x + 4|

|-2x + 4| = 14

-2x + 4 = 14   or   -2x + 4 = -14

-2x = 10   or   -2x = -18

x = -5    or   x = 9

Thus, for the given function f(x) = | -2x + 4 |, the data is shown in the table below.

Learn more about the function here,

brainly.com/question/5245372

#SPJ2


2. In the diagram below, angle AOB = 66°
Find angle OAB, giving reasons for your answer.​

Answers

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°

how many real roots and how many complex roots are possible with a root of 9

Answers

Answer:

12

Step-by-step explanation:

because the more the root the faster the plant grows

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.

x + y = 24

3x + 5y = 100

What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.

Answers

The test contains 10 three-point questions and 14 five-point questions is the answer

2 Points
Which of the following is the correct factorization of the trinomial below?
- 7x2 - 5x + 18
A. (-7x- 9)(x + 2)
B. -7(x-6)(x + 1)
C. -1(7x-9)(x + 2)
O D. (-7x+ 9)(x-2)
SUBMI

Answers

Answer:

C

Step-by-step explanation:

Factor: -7x^2 -5x+18

Factor -1 out of 7x^2 -5x +18:

−(7x^2+5x−18)

Factor.

1. 18 is negative, so a negative number multiplied by a postive number.

2. You can't factor 7, so 7x times x.

(7x−9)(x+2)

Answer: the correct answer is C

Step-by-step explanation:

WXY is congruent to CBA, If

Answers

Answer:

If they are opposite.

help will give brainliest

Answers

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)

Consider the system of equations in standard form. 5x + y = 25, x + 5y = –25 Keisha used the graphing calculator and identified the solution as (6, –6). Is she correct? If not, what was her mistake? Yes, Keisha is correct. No. She switched the x and y values No. She only estimated instead of hovering over the intersection to find the exact point. No. She picked a point on one line instead of the intersection point.

Answers

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

17T 13lb 3oz − 9T 20lb 9oz

Answers

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!_____________

Find the volume of a pyramid with a square base, where the side length of the base is
12.8 in and the height of the pyramid is 20.4 in. Round your answer to the nearest.
tenth of a cubic inch.

Answers

Answer:

Volume = 1114.1 [tex]in^3[/tex]

Step-by-step explanation:

Recall that the formula for the volume of a pyramid is given by:

[tex]Volume=\frac{1}{3} \,B\,*\,H[/tex]

where B is the area of the pyramid's base (in our case a square of side 12,8 in), and H the pyramid's height (in our case 20.4 in).

Then the square base of the pyramid has an area given by: [tex](12.8\,\,in)^2=163.84\,\,in^2[/tex]

Finally,we can now write the volume of the pyramid as:

[tex]Volume=\frac{1}{3} \,B\,*\,H\\Volume=\frac{1}{3} \,(163.84)\,*\,20.4\,\,in^3\\Volume=1114.112\,\,in^3[/tex]

Rounding the answer to a tenth of a cubic inch, we get:

Volume = 1114.1 [tex]in^3[/tex]

Please help me match these formulas thank you :)

Answers

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

Mary bought 10 quarts of juice at the grocery. How many gallons of juice did she buy?

Answers

Answer:

2.5 gallons

Step-by-step explanation:

Quarts of juice Mary bought = 10 quarts

1 quart = 0.25 gallons

10 quarts = 0.25×10 = 2.5 gallons

Therefore she bought 2.5 gallons

Hope this helps : ) . Have a nice day !

In a newspaper, it was reported that yearly robberies in Springfield were down 2% to 245 in 2014 from 2013. How many robberies were there in Springfield in 2013?

Answers

Answer:

250

Step-by-step explanation:

245 / 0.98 = 250

how do I find the radius

Answers

[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

AWARDING FIRST CORRECT ANSWER WITH BRANLIEST

Answers

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

Select the expression that is equivalent to 3(2x + 5) − 4x. A. 2x + 15 B. x + 8 C. x + 15 D. 2x + 5

Answers

Answer:

A. 2x + 15

Step-by-step explanation:

3(2x + 5) - 4x =

= 6x + 15 - 4x

= 2x + 15

Answer: A. 2x + 15

Answer:

2x +15

Step-by-step explanation:

3(2x + 5) − 4x

Distribute

6x + 15 -4x

Combine like terms

2x +15

10 points! Please answer within next 5 minutes!

Explain how to use the distributive property to find the product (3)(4 1/ 5)

Answers

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

Other Questions
what should I include in my short biography when applying for volunteering? Langstraat was seventeen when he purchased a motorcycle. When applying for insurance, he signed a "Notice of Rejection," declining to purchase uninsured motorist coverage. He was involved in an accident with an uninsured motorist and sought to disaffirm his rejection of the uninsured motorist coverage on the basis of infancy. May he do so? How does his handling of them change during the course of the story? What causes this change? Use evidence from the story to support your ideas. THE STORY is the treasure of lemon brown. Help me plzzzzz!!!! A surveyor is trying to find the height of a hill. He/she takes a sight on the top of the hill and find that the angle of elevation is 40. He/she move a distance of 150 metres on level ground directly away from the hill and takes a second sight. From this point, the angle of elevation is 22. Find the height of the hill, correct to 1 d.p. A lightbulb is rated by the power that it dissipates when connected to a given voltage. For a lightbulb connected to 120 V household electricity, decreasing the resistance of the filament will _____ the current through the bulb and _____ the power dissipated by the bulb. A lightbulb is rated by the power that it dissipates when connected to a given voltage. For a lightbulb connected to 120 V household electricity, decreasing the resistance of the filament will _____ the current through the bulb and _____ the power dissipated by the bulb. Decrease, decrease Decrease, increase Increase, increase Increase, decrease list out 8 rules and regulations which you should flow at national zoo Myocardial cells have long refractory periods in order to ensure each contraction is____. This is due to the presence of_______channels in these cells that allow the_____of_____ ions right afterions have entered. A recent survey found that 80% of jeans have back pockets, 65% have front pockets, and 48% have both back andfront pockets. Suppose a pair of jeans is selected at random and it is determined that it has front pockets. What is theprobability that a randomly selected pair of jeans with front pockets also has back pockets?0.520.600.740.81 not sure what to do here uculating the Perimeter of a TriangleGOyTriangle ABC is an isosceles triangle in which sideAB = AC. What is the perimeter of triangle ABC?54O 5+ 10 units32O 10 + 10 units1210/10 units2.3- 5 4 -3 -2 -1-145O 50 unitsB-2c-5 Evaulate 9^sqrt{3} in it to the nearest ten thousandth Currently, a U.S. trader notes that in the 6-month forward market, the Japanese yen is selling at a premium (that is, you receive more dollars per yen in the forward market than you do in the spot market), while the British pound is selling at a discount. Which of the following statements is correct?a) If interest rate parity holds among the three countries, the United States should have the highest 6-month interest rates and Britain should have the lowest rates.b) If interest rate parity holds among the three countries, the United States should have the highest 6-month interest rates and Japan should have the lowest rates.c) If interest rate parity holds among the three countries, Japan should have the highest 6-month interest rates and Britain should have the lowest rates.d) If interest rate parity holds, 6-month interest rates should be the same in the U.S., Britain, and Japan.e) If interest rate parity holds among the three countries, Britain should have the highest 6-month interest rates and Japan should have the lowest rates. Today, the waves are crashing onto the beach every 4.8 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.8 seconds. 61% of the time a person will wait at least how long before the wave crashes in? Using the diagram below, solve the right triangle. Round angle measures to thenearest degree and segment lengths to the nearest tenth. Psyche is a Greek word meaning Which are elements of plot structure that the reader can study in order to understand the resolution? Check all that apply. Yo ir contigo. Correct Incorrect Read the excerpt from Part 2 of The Odyssey. Why not take these cheeses, get them stowed, come back, throw open all the pens, and make a run for it? We'll drive the kids and lambs aboard. We say put out again on good salt water!' Ah, how sound that was! Yet I refused. I wished to see the caveman, what he had to offer no pretty sight, it turned out, for my friends. What theme is supported by the excerpt? A. It is important to see new sights. B. People should indulge their curiosities. C. It is wise to follow the counsel of trusted friends. D. People should trust their instincts. A triangle with side lengths of 4 , 5 , 6 , what are the measures of it angles to the nearest degree ?