g(n)=n+1 f(n)-n^2-n find g(f(8))

The area of the parallelogram is 475.2 square units.

A parallelogram is a polygon with four sides whose each pair of opposite sides are equal and parallel.

The properties of parallelogram are:

Given base b of the parallelogram a 36 units and height h of the parallelogram as 13.2 units.

Therefore we know from the properties of the parallelogram that area is given by the product of base and height.

∴area = b × h

or, area = 36 × 13.2

or, area = 475.2 square units

Hence the area of the parallelogram is 475.2 square units .

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The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.

Question 17) is a figure of a rectangle and two inscribed circles.

The area of a rectangle is expressed as: A = length × width

The area of a circle is expressed as: A = πr²

Where r is the radius.

To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.

Area = ( Length × width ) - 2( πr² )

Area = ( 40 × 10 ) - 2( π × 5² )

Area = ( 400 ) - 2( 25π )

Area = 400- 50π

Area = 242.9 cm²

Area of the shaded region is 242.9 squared centimeters.

Question 18) is the a figure a sector of a circle and a right triangle.

The area of a sector is expressed as: A = (θ/360º) × πr²

The area of a triangle  is expressed as: A = 1/2 × base × height

To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.

Hence:

Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )

Plug in the values:

Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )

Area = 25π/4 - 12.5

Area = 7.1

Therefore, the area of the shaded region is 7.1 square units.

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a) The equation representing the total area of the pool and the pool deck is: A = (x + 25)(x + 9).

b) The area equation in standard form is A = x² + 34x + 225.

c) The vertex form is A = (x + 17)²- 289

d) The x-intercepts is (-4, 0).

a) The equation representing the total area of the pool and the pool deck is: A = (x + 25)(x + 9).

b) Re-writing the area equation in standard form using the FOIL method:

A = x² + 9x + 25x + 225

A = x² + 34x + 225

c) Re-writing the equation from part b in vertex form by completing the square:

A = (x + 17)²- 289

d) The vertex of the parabola is (-17, -289).

The x-intercepts can be found by setting A = 0:

(x + 17)² - 289 = 0

(x + 17)² = 289

x + 17 = ±17

x = -34, 0 (x-intercepts)

The y-intercept is found by setting x = 0:

A = (0 + 17)² - 289

A = 0 (y-intercept)

e) The graph of the parabola is a downward-opening parabola with vertex (-17, -289).

f) In this problem, only positive values of x make sense because the dimensions of the pool and deck cannot be negative.

g) The point on the graph that shows a total area that includes the pool but not the pool deck is the vertex (-17, -289).

h) When x = 6 yards, the total area of the pool and deck can be calculated by substituting x = 6 into the equation:

A = (6 + 17)² - 289

A = 23² - 289

A = 529 - 289

A = 240 square yards

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Answer:

there is no expression

Step-by-step explanation:

what are you talking about

Answer:

8 and 2 thirds

Step-by-step explanation:

6 and a half divided by 3 is 2 and 1/6, so since the new ned is  a whole (the 6 and a half) and a third of the whole(2 and  1/6) the new weight is 8 and 2/3

Answer:

angle 5 and angle 2

angle 1 and angle 4 + 3

If the diameter of each wheel of a  bicycle is 26 inches and you are traveling at a speed of 20 miles per hour on this bicycle, the number of revolutions per minute are the wheels turning is 258.57 revolutions

The diameter of the wheel = 26 inches

Radius of the circle = 26÷2 = 13 inches

Circumference of the the wheel = \(2\pi r\)

=2×π×13

=81.68 inches

Total distance traveled in one hour = 20 miles

Total distance traveled in one minute = 20/60 miles

1 mile = 63360 inches

20/60 miles =(20/60)×63360

=21120 inches

Number of revolutions to complete 21120 inches = 21120/81.68

=258.5 revolution

Hence, if the diameter of each wheel of a  bicycle is 26 inches and you are traveling at a speed of 20 miles per hour on this bicycle, the number of revolutions per minute are the wheels turning is 258.5 revolutions

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17.5 years.

It takes 17.5 years to double the investment of $1200.

Given ,

P  = $1200

r = 5 % = 0.05

n = 12

A = $2400( Since double of p)

Equation ,

A = \(P ( 1 + r / n)^{nt}\)

2400 = \(1000 ( 1 + .05/ 12)^{12t}\)

  2.4 = \((1 + .05/12)^{12t}\)    

log both sides,

log 2.4 = log\(( 1 + .05/ 12)^{12t}\)

log 2.4 = 12t . log ( 1 + .05/ 12)

(log 2.4) / (12 log (1 + .05/ 12)) = t

t = 17.5 years.

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Answer:

Step-by-step explanation:

1) f(-4) --> if x < or equal to 3

2) 1/(-4)-4

3) The answer is - 1/8

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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Answer:

p > 34

He wrote more than 34 pages before today.

Step-by-step explanation:

Eduardo wrote 16 more pages, increasing his total number of pages above 50.

p = pages he wrote before today

p + 16 > 50

p > 50 - 16

p > 34

He wrote more than 34 pages before today.

Answer: The equation used to find the value of x is 5x - 4 = 3x + 10. The value of x is determined to be 7.

Step-by-step explanation:

Four less than the product of a number (x) and 5 = 5x - 4

8 more than 2 added to 3 times the number = 3x + 2 + 8 = 3x + 10

Four less than the product of a number (x) and 5 is equal to 8 more than 2 added to 3 times the number => 5x - 4 = 3x + 10

                                                         5x - 3x = 10 + 4

                                                         2x = 14

                                                         x = 14/2

                 therefore,                      x = 7

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Answer:

Option (2) and Option (4)

Step-by-step explanation:

From the picture attached,

Length of ladder AC = 20 feet

Height of the highest point of the ladder from ground AB = 16 ft

By Pythagoras theorem,

AC² = BC² + AB²

BC² = AC² - AB²

BC = \(\sqrt{(20)^2-(16)^2}\)

     = \(\sqrt{400-256}\)

     = \(\sqrt{144}\)

     = 12

Now, Sinθ = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}=\frac{\text{AB}}{\text{AC}}\)

                 = \(\frac{16}{20}\)

Cosθ = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{\text{BC}}{\text{AC}}\)

         = \(\frac{12}{20}\)

tanθ = \(\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{\text{AB}}{\text{BC}}\)

        = \(\frac{16}{12}\)

Therefore, Option (2) and Option (4) are the correct options.

The equation that should be used is option 2 and option 4.

Since

Length of ladder AC = 20 feet

Height of the highest point of the ladder from ground AB = 16 ft

So here we apply the Pythagoras theorem,

AC² = BC² + AB²

BC² = AC² - AB²

So,

\(BC = \sqrt{(20)^2 - (16)^22}\\\\ = \sqrt{400 - 256}\\\\ = \sqrt{144}\)

= 12

Now

Sin θ = 16\20

Cos θ = 12\20

tan θ = 16 \12

hence, The equation that should be used is option 2 and option 4.

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Answer:

(1, -1, 3)

Step-by-step explanation:

Given system of linear equations is,

2x + 3y - 2z = -7 ---------- (1)

x - 2y + 4z = 15 ------- (2)

2y + z = 1 ------------ (3)

Equation (2) multiplied by 2 then subtracted from equation (1),

(2x + 3y - 2z) - 2(x - 2y + 4z) = -7 - 30

(2x - 2x) + (3y + 4y) + (-2z - 8z) = -37

7y - 10z = -37 ------ (4)

Equation (3) multiplied by 10 then added to equation (4),

(20y + 10z) + (7y - 10z) = 10 - 37

27y = -27

y = -1

From equation (3),

2(-1) + z = 1

-2 + z = 1

z = 3

From equation (2),

x - 2(-1) + 4(3) = 15

x + 2 + 12 = 15

x + 14 = 15

x = 1

Answer:

the eldest sister is unconcerned about the journey while the youngest sister thinks something is wrong

Answer:

$232

Step-by-step explanation:

Answer:

232

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to identify the given shapes as a regular or irregular polygon, or neither.

A regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.

Polygon E is a regular polygon.

A polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.

Any simple polygon that is not a regular polygon is an irregular polygon.

Polygons A, B, D are irregular polygons.

A circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.

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Answer:

t = - 1/8

Step-by-step explanation:

t ÷ 5/12 = - 3/10

t × 12 ÷ 5 = - 3/10

12t/5 = - 3/10

12t × 10 = -3 × 5

120t = - 15

t = - 15/120

t = - 1/8

Thus, t divided 5/12 = - 3/10 => -1/8

-TheUnknownScientist

Answer:

27115

Step-by-step explanation:

145 x 187 = 27115

Answer:

2 real solutions

Step-by-step explanation:

a=-10, b=-4, c=2

(-4)^2-4x(-10)x2=96

Answer:

see explanation

Step-by-step explanation:

calculate slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

consider the middle dotted line

with

(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line

m = \(\frac{8-(-3)}{6-(-5)}\) = \(\frac{8+3}{6+5}\) = \(\frac{11}{11}\) = 1

consider the line of reflection ( the solid line )

with

(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line

m = \(\frac{4-3}{-1-0}\) = \(\frac{1}{-1}\) = - 1

is △ABC equilateral?  well, we dunno, however let's check for all sides' length.

\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-2}) ~\hfill AB=\sqrt{(~~ -6- (-3)~~)^2 + (~~ -2- 2~~)^2} \\\\\\ ~\hfill AB=\sqrt{( -3)^2 + ( -4)^2} \implies AB=\sqrt{ 25 }\implies \boxed{AB=5}\)

\(B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{0}~,~\stackrel{y_2}{-2}) ~\hfill BC=\sqrt{(~~ 0- (-6)~~)^2 + (~~ -2- (-2)~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 6)^2 + ( 0)^2} \implies BC=\sqrt{ 36 }\implies \boxed{BC=6} \\\\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad A(\stackrel{x_2}{-3}~,~\stackrel{y_2}{2}) ~\hfill CA=\sqrt{(~~ -3- 0~~)^2 + (~~ 2- (-2)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( -3)^2 + (4)^2} \implies CA=\sqrt{ 25 }\implies \boxed{CA=5}\)

well, not quite.

The expression 3x+11y cannot be factorized.

What is factorization?

To factorise an algebraic statement, we first identify the terms' highest common factors before organising the words in the appropriate way. An algebraic expression's factorization is, to put it simply, the process of expansion in reverse. The same way, as the product of their factors, are the algebraic expressions written in algebra. The only difference is that in an algebraic expression, variables and integers are combined to perform mathematical operations like addition or subtraction.

Here the given expression 3x+11y didn't have any common factors.

The given expression has two variables 3x and 11y and they didn"t have any common terms.

Hence the expression 3x+11y cannot be factored.

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Answer:

I think ita would be 2/6 as well

Step-by-step explanation:

simplify it down to 1/3 and the blue take up one third and so does the green socks

Answer:

2/6 socks are white.

Step-by-step explanation:

The denominator (6) is the amount of socks you have.

If 2/6 are blue and 2/6 are green. 4/6 are Blue & Green.

To find the remaining amount of socks you would simply subtract 6/6 by 4/6

That would leave you with 2/6 of the socks being WHITE.

Hope this helps you!! <3

The approximate x-values for the local maximum and the local minimum are given as follows:

D) max ≈ -0.3 , min ≈ 2.3.

Hence the critical points of the graphed function are given as follows:

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Answer:

(x−5) and (x−4)

Step-by-step explanation:

Answer:

dehydration

Step-by-step explanation:

Answer:

She would need 42 cups of flour

Step-by-step explanation:

Answer:

71

Step-by-step explanation:

The square represents 90 degrees.

A triangle’s three angles ALWAYS adds up 180.

To find the missing angle:

180 - 90 = 90

90 - 19 = 71.

Therefore, the answer is 71