Find the percent of increase or decrease. Round to the nearest tenth of a percent where necessary.
32 to 40.

Answer:

Proof below.

Step-by-step explanation:

Let f(n)=10+ n^2 - (n - 2)^2.

We want to prove f is even for integer n > or = 1.

Let's show f is even for the base case, n=1.

f(1)=10+1^2-(1-2)^2

f(1)=10+1-(-1)^2

f(1)=11-(1)

f(1)=10

f(1) is even.

Let's assume the for some integer k > or = 1 , we have f(k) is even. This means there is some integer m so that f(k)=2m.

Note: f(k)=10+ k^2 - (k - 2)^2.

We want to show f(k+1) is even.

f(k+1)=10+ (k+1)^2 - ([k+1] - 2)^2

f(k+1)=10+ (k+1)^2 - (k-1)^2

f(k+1)=10+ ((k+1)^2 - (k-1)^2)

That difference is a difference of squares. Let's try factoring it.

f(k+1)=10+ (k+1-[k-1])(k+1+[k-1])

f(k+1)=10+ (2)(2k)

Multiply:

f(k+1)=10+4k

Turns out we didn't even need to use our induction hypothesis since 10+4k is 2(5+2k) which makes f(k+1) even given the factor of 2 present.

This proves for all integers n>=1 that f(n) is even.

We could have this without induction then. Let's do that here below this line.

-------------------

10+ n^2 - (n - 2)^2

10+[n^2 - (n - 2)^2]

Factor difference of squares:

10+(n-(n-2))(n+(n-2))

Simplify:

10+(2)(2n-2)

Factor:

2[5+(2n-2)]

Because of the factor of 2, the given expression is always even for integer n.

Answer:

Resultado es dos (2)

Answer:

2

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

we know that triangles have 180 degrees inside them and quadrilaterals are made up of two triangles, since 180 x 2 is 360 we know it's a quadrilateral.

Answer:

the slope rise/run = 4/6

Answer:

32t

Step-by-step explanation:

parallelogram. two opposite sides r equal.

2(8t+2)+2(8t-2)

16t+4+16t-4

32t

Answer:

55

Step-by-step explanation:

(360 - 125 - 125) / 2 = 55

Opposite angles are the same in a parallelogram.

Answer: 3z+6

Step-by-step explanation:

(3) (z+2)

(3) (z)+(3) (2)

3z+6

Answer:

9528.75

Step-by-step explanation:

1089x8.75, or 1089x8 and 3/4 which is 9528.75

Answer:

B

Step-by-step explanation:

5m+5m8m+4m=24m2 of the primeter

Answer: 18 sqrt= i

Hope this helps :)

Step-by-step explanation:

Answer:

32 square millimeters

Step-by-step explanation:

Parallelogram area formula => B x h

Base = 6 mm

Height = 4 mm

Area = 24 mm^2

Triangle area formula B x h x 1/2

Base = 8 mm

Height = 2 mm

Area = 8 mm^2

Total area = 24 + 8 = 32 mm^2

The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters so option (C) will be correct.

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

If we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.

As per the given parallelogram and a triangle,

The bigger side of parallelogram = 6 + 2 = 8mm

Smaller side = 6mm

The perpendicular distance between the sides of the parallelogram = 4mm

The base of the triangle = 2mm

Height of triangle = 4 mm

Therefore, the complete area ⇒

(1/2)[8 + 6)×4 + (1/2)×2×4 = 32 mm²

Hence "The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters".

To learn more about surface area,

https://brainly.com/question/2835293

#SPJ5

Answer:

104

Step-by-step explanation:

-8 * -13 = 104

104/-8=-13

Answer: The flowering plant grows fruit, while the nonflowering plant doesn't.

Step-by-step explanation: Brainliest please

Flowering plants have reproductive organs, which is an advantage over non-flowering plant.

A plant that produces flowers, fruit, and seeds also called angiosperm.

Given that, advantage a flowering plant have over a non-flowering plant,

Flowering plants have a reproductive advantage over gymnosperms (non-flowering) because of different adaptations, such as having flowers that allow for pollination and fruit for seed dispersal.

Hence, flowering plants have reproductive organs, which is an advantage over non-flowering plant.

For more references on flowering plants, click;

https://brainly.com/question/22687602

#SPJ5

Answer:

1 8/9 - 1 2/3 = 2/

9

≅ 0.2222222

Step-by-step explanation:

How do you solve fractions step by step?

Conversion a mixed number 1 8/

9

to a improper fraction: 1 8/9 = 1 8/

9

= 1 · 9 + 8/

9

= 9 + 8/

9

= 17/

9

To find a new numerator:

a) Multiply the whole number 1 by the denominator 9. Whole number 1 equally 1 * 9/

9

= 9/

9

b) Add the answer from previous step 9 to the numerator 8. New numerator is 9 + 8 = 17

c) Write a previous answer (new numerator 17) over the denominator 9.

One and eight ninths is seventeen ninths

Conversion a mixed number 1 2/

3

to a improper fraction: 1 2/3 = 1 2/

3

= 1 · 3 + 2/

3

= 3 + 2/

3

= 5/

3

To find a new numerator:

a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/

3

= 3/

3

b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5

c) Write a previous answer (new numerator 5) over the denominator 3.

One and two thirds is five thirds

Subtract: 17/

9

- 5/

3

= 17/

9

- 5 · 3/

3 · 3

= 17/

9

- 15/

9

= 17 - 15/

9

= 2/

9

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(9, 3) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 3 = 27. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seventeen ninths minus five thirds = two ninths

Answer:

13/15

Step-by-step explanation:

I took the quiz and solved it out. I would give further explaination but it is kinda hard to do that in text form. Have a nice day!

The value of the expression if m = 3 is 13/15

Given the expression as shown below:

If the value of m = 3, hence the expression will become;

2/5(3) - 1/3

6/5 - 1/3

Find the LCM

6/5 - 1/3 = 3(6)-5/15\

6/5 - 1/3 = 18-5/15

6/5 - 1/3 = 13/15

Hence the value of the expression if m = 3 is 13/15

Learn more on equations here: https://brainly.com/question/13763238

Answer:

m=-2

Step-by-step explanation:

m=y2-y1/x2-x1

m=-2-8/3-(-2)

m=-2-8/3+2

m=-10/5

m=-2

Based on the area of the field and the width as well, the length is most likely 123 feet.

The area of the cornfield is calculated as:

= Length x Width

You have the width so you can substitute it in the equation to find the length:

6,396 = Length x 52

Solving would give:

Length = 6,396 / 52

= 123 feet

In conclusion, the length is 123 feet.

Find out more at https://brainly.com/question/20183786.

Answer:

Option C

Step-by-step explanation:

[tex]\frac{(2x^3y^2z)^2(-3xyz^2)^2}{18x^6y^7z^3} =[/tex]

[tex]\frac{(4x^6y^4z^2)(9x^2y^2z^4)}{18x^6y^7z^3} =[/tex]

[tex]\frac{36x^8y^6z^6}{18x^6y^7z^3} =[/tex]

[tex]\frac{2x^2z^3}{y}[/tex]

Answer:

Solutions: x = 7, y = 9;  or (7, 9)

Step-by-step explanation:

Given the following systems of linear equations:

7x - 8y = -23

7x - 7y = -14

Since the coefficients of x in the given system have the same sign, we could use the process of elimination by subtracting the two equations.

    7x - 8y = -23

-   7x - 7y = -14    

             -y = -9  

Divide both sides by -1 to solve for y:

[tex]\frac{-y}{-1} = \frac{-9}{-1}[/tex]

y = 9

Substitute the value of y into either one of the given equations to solve for x:

7x - 7y = -14

7x - 7(9) = -14

7x - 63 = -14

Add 63 to both sides:

7x - 63 + 63 = -14 + 63

7x = 49

Divide both sides by 7 to solve for x:

[tex]\frac{7x}{7} = \frac{49}{7}[/tex]

x = 7

Double-check whether x = 7 and y = 9 are valid solutions to the given system:

x = 7, y = 9:

7(7) - 8(9) = -23

49 - 72 = -23

-23 = -23 (True statement).

7(7) - 7(9) = -14

49 - 63 = -14

-14 = -14 (True statement).

Therefore, the solution to the given systems of linear equations are x = 7, and y = 9, or (7, 9).

Answer:

69

Step-by-step explanation:

Answer:

Answer

Step-by-step explanation:

H (28) = 41 + 28

H (28) = 69

Each month is +1 cm, which means 41 + 28 = 69 cm is the plant height in 28 months

Answer:

2

Step-by-step explanation:

Slope equals rise over run. use the slope formula

slope= (y2-y1)/(x2-x1)

find two points on the line. I used points (0,1) and points (1,3)

0=x1

1=y1

1=x2

3=y2

plug into the equation and you get

(3-1)/(1-0)=2

Answer:

197

Step-by-step explanation:

https://www.cusd80.com/cms/lib/AZ01001175/Centricity/Domain/8294/HA2%20Chapter%202%20Review%20Key.pdf

Answer:

0.0378788 mph is the correct answer here

for every 13 dogs, there are 25 cats. is the answer.

Answer: A

Step-by-step explanation:

The easiest way to solve this would be to convert everything into a fraction.

9.5, 9 3/8, 9.125, 9 3/4

=

9 4/8, 9 3/8, 9 1/8, 9 6/8

So from greatest to least,

9 3/4, 9.5, 9 3/8, 9.125

So, A

Answer: The answer is F ( 9 3/4 9.5 9 3/8 9.125 )

Step-by-step explanation:

From greatest to least.

1) 9 3/4 = 9.75

2) 9.5 = 9.50 ( 9 1/2)

3) 9 3/8 = 9.37

4) 9.125 = 9.12 ( 9 1/8)

Answer:

B.

Step-by-step explanation:

There is no pause and the use of a connection word (and) makes the sentence seem longer. Hope this helps :) brainliest?? <3

Answer:

Step-by-step explanation:

x= cost per gallon

10x=23

x=2.3

2.3*15= 34.5

Answer:

The inequality for this would be n ≥ 20.

We know this because it must be larger than 40. We also know it can possibly be equal because the statement says "at least".

Step-by-step explanation: