You have one last gift to wrap and you only have 150 square inches of wrapping paper. If the box measures 4 inches by 3 inches by 10 inches, do you have enough paper to wrap the box?

Answer:

[tex]n = 5[/tex]

Step-by-step explanation:

Given

[tex]2(n+1)! + 6n! = 3(n+1)![/tex]

Required

Find n

Simplify (n + 1)!

[tex]2(n+1)*n! + 6n! = 3(n+1)*n![/tex]

Factorize

[tex]n![2(n+1) + 6] = 3(n+1)*n![/tex]

Divide both sides by n!

[tex]2(n+1) + 6 = 3(n+1)[/tex]

Open brackets

[tex]2n + 2 + 6 = 3n + 3[/tex]

[tex]2n + 8 = 3n + 3[/tex]

Collect like terms

[tex]2n - 3n = 3 -8[/tex]

[tex]-n =-5[/tex]

Multiply both sides by -1

[tex]n = 5[/tex]

Answer:

312 cm²

Step-by-step explanation:

The figure is composed of a rectangle and 2 congruent triangles

area of rectangle = 16 × 12 = 192 cm²

area of 2 triangles = 2 × [tex]\frac{1}{2}[/tex] × 12 × 10 = 12 × 10 = 120 cm²

Area of figure = 192 + 120 = 312 cm²

Answer:

c) KJ and JH

Step-by-step explanation:

Answer:

lowkey gonna say B

Step-by-step explanation:

shshevr fcfvdbd

Answer:b

Step-by-step explanation:

Answer:

Step-by-step explanation:

11) strategy:  since they tell us. indirectly,  that the length of  JK is the same as LM then we can set those two equal, solve for X  and then.. when we have X we can figure out the lenght of JK  and LM and then just divide that by 2 go get PK  ( :0 Player Killer ???  no , not that PK)    

solve JK and LM

3x + 23 =9x-19

42 = 6x

7 = x

now that we know x = 7 plug it into either equation to come up with the length of JK or LM .  I'll pick JK just b/c it was 1st

3(7) + 23 = JK

21+23 = JK

44 = JK

now take half of 1/2*JK= 22  that is PK    ( are you sure that 's not player killer?)

PK = 22

12) strategy: set the two arcs BG and GC equal and solve for X, then plug x into either equation and the multiply the answer by 2 to find arc AB

9x-20 = 5x + 28

4x = 48

X = 12

9(12) -20 = BG

88 = BG

2*88 + AB

176 = AB

13) done

14)  strategy: find the angle at L,  and that will also be the arc of MK

copy and past the below helpful trig functions into your computer

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

copy and past the above :

use which ever trig function you want , we have all the sides of the triangle, I'll use CAH

Cos(Ф) = 9/15

Ф = arcCos(9/15)

Ф = 53.13010°

arc MK = 53.13010°

15)   strategy:  arc JK is just 2 times MK

2*MK = 106.26020°

arc MK = 106.26020°

16) find arc JPK   strategy:  JPK is just the remaining part of a full circle of 360 - MK  = 253.7397°

arc JPK = 253.7397°

Answer:

C.

Step-by-step explanation:

Reorder the data set, from least to greatest.

3, 5, 7, 8, 9, 9, 10, 11, 12

Mean: 8.2 -> you get this by adding up all the numbers in the data set by how many numbers in the data set. For example, 3+5+7+8+9+9+10+11+12= 74 divide by 9 (the numbers in the data set) = 8.2 (repeated infinitely).

Median: 9 -> you get this by finding the number in the middle of the data set, which is why you have to reorder the data set for the beginning to make this easier.

Mean (with 45): 11.9 -> 119 when you add up all the numbers, then divide by 10 because that's have many numbers in the new data set.

Median (with 45): 9 -> When there are two numbers in the middle of the data set, add them up and divide by two. For example, 9+9=18/2= 9

Answer: C.

Answer:

8cm

Step-by-step explanation:

let x = width

x^2+6x-112=0

we would solve this using the factorization method

the factors of -112x^2 that would add up to 6x are 14x  8x

x^2 - 8x + 14x - 112 = 0

factorise

x(x - 8) + 14(x - 8) = 0

x+ 14 = 0

x - 8 = 0

x = 8

the width is 8cm

x = -14

Answer:

A = -4

B = 5

C = -3

Step-by-step explanation:

Standard form of a quadratic equation is y = Ax² + Bx + C

In the quadratic y = -4x² + 5x - 3, we can use this standard form to find A, B, and C.

Since -4 is the coefficient to x², A is -4.

Since 5 is the coefficient to x, B is 5.

Lastly, since -3 is the last term, C is -3.

So, the answer is:

A = -4

B = 5

C = -3

Answer:

5062043

Step-by-step explanation:

add the numbers for north and south America, add the numbers for Europe and Africa, and than subtract them. (north America+south America) - (Europe + Africa) = answer

Answer:

B is an arithmetic sequence because the number that you add or subtract between each number has to match

Im not 100% sure what youre asking but if the value for C isnt given then it would be -7c because 3-10 is -7

(if theres a value for C can you let me know I can solve the actual thing it it would help more just lmk :)

Answer:

-7c

Step-by-step explanation:

your welcomeeeeeeeeee

Answer:

1/2

Step-by-step explanation:

Answer: 1/2

length of A is 6 units

length of B is 3 units

dilated / original

3/6 simplified is 1/2

Answer:

3.2 calories

Step-by-step explanation:

4% is .04

so

80 x .04 = 3.20

Answer:

√75, 9, 9.5, √99, 10

Step-by-step explanation:

that's what I got

Answer:

It's C.

Explanation:

I took a test on this

Answer:

You do not use the first derivative to find the rate you need to take the limit ratio as x approaches positive infinity. We use positive and not negative infinity because our function is increasing and not decreasing.  The ratio ends up being 1/1000 meaning that this a finite non zero number. Which proves that they grow at the same rate

Step-by-step explanation:

Answer:

dsefggrgrgrgersd

Answer:

Hi there your answer will be

Zero since when you are dividing with zero your answer will always be zero

NO MATTER WHAT IS YOUR VARIABLE

Step-by-step explanation:

EXAMPLE IF I DID A/B DIVIDE BY 0 MY ANSWER WILL ALWAYS BE ZERO

SO YOUR ANSWER TO NUMBER 6 IS ZERO/ UNDEFINED DEPENDS ON WHAT YOUR TEACHER WANTS.

Answer:

-5

Step-by-step explanation:

-5x+6 = 2(-3x + 1) + x - 16

-5x+6 = -6x + 2 + x - 16

-5x+6 = -5x -14

+6≠-14⇒x∈Ф

Answer:

Hope this helps :D

The answer is 27(If i`m not mistaken)

Answer:

Step-by-step explanation:

There are options:

Number of  possible combinations:

Answer:

Square root: sqrt(5) = √ 5 = 2.23606798

Add: -1 + the result of step No. 1 = -1 + 2.23606798 = 1.23606798

Divide: the result of step No. 2 / 2 = 1.23606798 / 2 = 0.61803399nation:

Answer: I think it is going to be 42.5

Step-by-step explanation: I think that because is you divide the 29 by 7.5 you get 3.86. Multiply the 11 by 3.86 and you get 42.46. If you round to the nearest tenth that would be 42.5