A rectangle has a width of 9 inches and a length of 15 inches. If the rectangle is enlarged by a scale factor of 3/2, what is the perimeter of the dilated rectangle

Answer:

[tex](x+y)^5=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex]

[tex](x+y)^6=x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6[/tex]

Step-by-step explanation:

In order to find the values of [tex](x+y)^5[/tex] and [tex](x+y)^6[/tex], you need to apply the binomial theorem (high-level math you most likely don't need to worry about, it's easier than multiplying all the binomials together).

[tex](x+y)^5[/tex] = [tex]\sum _{i=0}^5\binom{5}{i}x^{\left(5-i\right)}y^i[/tex] = [tex]\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5[/tex] = [tex]x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex].

[tex](x+y)^6[/tex] = [tex]\sum _{i=0}^6\binom{6}{i}x^{\left(6-i\right)}y^i[/tex] = [tex]\frac{6!}{0!\left(6-0\right)!}x^6y^0+\frac{6!}{1!\left(6-1\right)!}x^5y^1+\frac{6!}{2!\left(6-2\right)!}x^4y^2+\frac{6!}{3!\left(6-3\right)!}x^3y^3+\frac{6!}{4!\left(6-4\right)!}x^2y^4+\frac{6!}{5!\left(6-5\right)!}x^1y^5+\frac{6!}{6!\left(6-6\right)!}x^0y^6[/tex]= [tex]x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6[/tex].

Answer:

(B)

Step-by-step explanation:

v^2 = v0^2 + 2ax

a = (v^2 - v0^2) / 2x

= (20^2 - 10^2) / 200

= 1.5 m/s

9514 1404 393

Answer:

  5.1

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(25°) = x/12

  x = 12·sin(25°)

  x ≈ 5.1

Answer:

509 adults 1 student

Step-by-step explanation:

2545÷5

Answer:

Interest=PTR/100

110 =P×1×22/100

11000=22P

P=500

Answer:

26 degrees

Step-by-step explanation:

It is the correct solution on delta math

Answer:

Step-by-step explanation:

Use the law of sines:

Answer:

80

Step-by-step explanation:

x + (2x-60) = 180

combine like terms

3x - 60 =180

add 60 to both sides

3x = 240

divide both sides by 3

x = 80

plug it back in to check

80 + (2(80) - 60 = 180

80 + (160 -60) = 180

80 + (100) = 180

180 = 180

Answer:

6.5

Step-by-step explanation:

dude you can search this up

6 1/4

convert both mixed numbers into improper fractions:

multiply the denominator by the whole number and then add the numerator to convert into a improper fraction

4 3/4 = 18/4

1 3/4 = 7/4

then add the two numerators together

the denominator stays the same

18/4 + 7/4 = 25/4

then convert back into a mixed number:

find how many times 4 goes into 25; that's the whole number in your mixed fraction. The remainder is the numerator.

Since 4 goes into 25 6 times and has a remainder of 1, your answer is 6 1/4

9514 1404 393

Answer:

  one solution

Step-by-step explanation:

There will be one solution if the left-side x-coefficient is different from the right-side x-coefficient.

Simplifying, we get ...

x + 1/2x -2 = 1/2x +6x -12

3/2x -2 = 13/2x -12

The left-side coefficient is 3/2, which is different from the right-side coefficient of 13/2. The equation will have one solution.

__

Add 12-3/2x to both sides to get ...

  10 = 5x

  2 = x . . . . . divide both sides by 5. This is the solution.

Answer:

Paul spent $12.65

Step-by-step explanation:

Create a system of equations where p is how much Paul spent and t is how much Tammy spent.

p + t = 37.85

p = t - 12.55

Solve by substitution:

p + t = 37.85

(t - 12.55) + t = 37.85

2t - 12.55 = 37.85

2t = 50.4

t = 25.2

Find how much Paul spent by plugging in 25.5 as t into p = t - 12.55

p = t - 12.55

p = 25.2 - 12.55

p = 12.65

So, Paul spent $12.65

Answer:

they can make 24 2/3 pint jars.

Step-by-step explanation:

16 divided by 2/3 is equal to 24.

Answer:

8 < b

Step-by-step explanation:

since she reads more than 8 it marks out B and D and since b needs to be greater than 8, the answer would be C

Answer:

x=3 and x=1

Step-by-step explanation:

find roots of the equation by equating 4x and x^2+3 to eachother

Answer:

THE LAST THREE ARE THE ANSWERS

Step-by-step explanation:

Answer:

C. 4

Step-by-step explanation:

have a nice day! :)

Answer:

Step-by-step explanation:

Volume formula:

The base is the pentagon, consisting of equal 5 triangles with the height of 4.1 ft and side of 6 ft.

Area of the base:

Volume:

Answer:

1. 30 in

2. 273 mi

3. 248 m

Step-by-step explanation:

For the first circle, you are given the radius. Multiply that by 2 in order to get 30.

For the second circle, you are given the diameter. Divide that by 2 to get 273.

For the third circle, you are given the radius. Multiply that by 2 in order to get 248.

Answer:

1.false

2.false

3.false

Answer:

All three are false.

Step-by-step explanation:

Let's say a equaled 2 and b equaled 5.

For reference: |2| = 2 |5| = 5

2 > 5 - False

|2| > |5| - False

2 > |5| - False

Hope this helps!!

Answer:

n=7

r=2

combination=7*2=14☺️

Awnser : 14

Explanation : N = 7 An R = 2 ∴ 7 × 2 = 14

Hoped This Helped Have a Nice Day :)

Answer:

[tex](a)\ y = 26 + 0.44x[/tex]

[tex](b)\ 114\ copies[/tex]

Step-by-step explanation:

Given

[tex]Base\ Charge = \$26[/tex]

[tex]Rate = 44c[/tex] per copy

Solving (a): Linear Equation

The total charges (y) is: the base charge + the rate * number of copies (x).

So, we have:

[tex]y = 26 + 0.44 * x[/tex]

The 0.44 is 44 cents converted to dollars

[tex]y = 26 + 0.44x[/tex]

Solving (b): Purchase if he budgets $76.16

This implies that y = 76.16

So, we have:

[tex]y = 26 + 0.44x[/tex]

[tex]76.16 = 26 + 0.44x[/tex]

Collect like terms

[tex]0.44x = 76.16 - 26[/tex]

[tex]0.44x = 50.16[/tex]

Solve for x

[tex]x = \frac{50.16}{0.44}[/tex]

[tex]x = 114[/tex]

Answer:

70

Step-by-step explanation:

35 because the 4 segments have to total to 180

Answer:

1) 7/3

2) Undefined

3) 1

4) 7/4

Step-by-step explanation:

Answer:

13.70

Step-by-step explanation:

a^2+b^2=c^2

a = side 1

b = side 2

c = hypotenuse

9.2^2 + b^2 = 16.5^2

272.25 - 84.64 = 187.61 =b^2

√187.61 = b = 13.697 = 13.70

Answer:

see I hope u understand

Answer: B  - 3 3/4 cubic inches

Step-by-step explanation:

A = BH; B = wl

2 * 1 1/4 = B

B = 2 1/2

H = 1 1/2

2 1/2 * 1 1/2 = 3 3/4

Answer:

∫ F dr= 1

c

Step-by-step explanation:

The correct question is -

Given - [tex]F = < \frac{sec^{2} x}{y} , - \frac{tan x}{y^{2} }>[/tex] and C : (0, 1) to [tex](\frac{\pi }{4} , 1)[/tex]

To find - Evaluate and input the result of the following integral.

Proof -

We know that,

dr = dx i + dy j

F = < F1, F2 >

Now, we know

[tex]d(\frac{tanx}{y }) = \frac{d}{dx}(\frac{tanx}{y}) + \frac{d}{dy}(\frac{tanx}{y})[/tex]

So,

[tex]\frac{d}{dx}(\frac{tanx}{y}) =\frac{1}{y} \frac{d}{dx}({tanx}) \\\\ = \frac{sec^{2} x}{y} \\\frac{d}{dy}(\frac{tanx}{y}) = tanx \frac{d}{dy}(y^{-1}) \\ = -\frac{tanx}{y^{2} }[/tex]

Now,

We can see that,

[tex]d(\frac{tanx}{y }) = \frac{sec^{2} x}{y} dx - (\frac{tanx}{y^{2} })dy[/tex]

So,

[tex]\int\limits^{}_C {F. dr} = \int\limits^{}_C d(\frac{tanx}{y} )\\= [\frac{tanx}{y} ]\limits^{(\frac{\pi }{4} ,1)}_{(0,1)}\\= [\frac{tanx}{y} ]\limits^{}_{(\frac{\pi }{4} ,1)} - [\frac{tanx}{y} ]\limits^{}_{(0,1)}\\= \frac{tan(\frac{\pi }{4} )}{1} - \frac{tan 0}{1}\\= 1 - 0\\= 1[/tex]

∴ we get

∫ F dr= 1

c

We are in school 10 months out of the year. What percent of the year are we in school?

Answer:

83.3% (repeating)

Step-by-step explanation:

hope this helps! #HappyCheating

Answer:

3=¢

Step-by-step explanation:

yeahhhhhhh thank youiuuuuuuuuuuuu

Answer:

At the start the total number is 10, male fish = 6

At the second time the total number is 9, male fish = 5

Probability of two male fish is:

Answer:

0.72%

Step-by-step explanation:

Step-by-step explanation:

hope it is helpful to you

Answer:

Y=X+1=2+1=3

Step-by-step explanation:

{

X

=

2

Y

=

3

Explanation:

Combining the two equations, we find:

2

X

−

1

=

Y

=

X

+

1

Subtract

X

from both ends to get:

X

−

1

=

1

Add

1

to both sides to get:

X

=

2

Then:

Y

=

X

+

1

=

2

+

1

=

3