When two numbers are not equal, an ___ is a sentence that uses the symbols >, <, ≥, ≤, or ≠ to show a relationship.

Answer:

(f ∘ f)(–1) = –1

Step-by-step explanation:

To solve a composite function, rewrite using brackets and solve from inside to outside.

(f ∘ f)(x) is the same as:    f[f(x)]

Given that x = –1 in (f ∘ f)(–1), we are solving for:

f[f(–1)] = ?

Solve for f(–1) inside the square brackets first.

f(x) = x³

f(–1) = (–1)³    Simplify.

f(–1) = –1       Solved the inside.

Substitute f(–1) = –1 into the square brackets.

f[f(–1)] = f[–1]

Now, we can solve the outside.

Solve with the equation of the function, x³.

f[–1] = x³

f[–1] = [–1]³     Substitute x = –1.

f[–1] = (–1)³     Simplify.

f[–1] = –1        Final answer

The two inequalities will be L>W-4 and (L x W) ≤ 32.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

It is given that:-

The length of the garden should be at least 4 ft shorter than the width

The distance around should be no more than 32 ft

The two inequalities will be as follows:-

a)The length of the garden should be at least 4 ft shorter than the width

L>W-4

b)The distance around should be no more than 32 ft

(L x W) ≤ 32.

Hence the two inequalities will be L>W-4 and (L x W) ≤ 32.

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Answer:

t=11

Step-by-step explanation:

so to start we subtract 8 from both sides to get...

5t=63-8

5t=55

now we just divide 5 from both sides so we just have t

t=11

Answer:

t=11

Step-by-step explanation:

Subtract 8 from both sides to get 5t=55 then divide by 5 to get t=11

Answer:

y - 5 = 3(x + 7)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 3 and (a, b ) = (- 7, 5 ) , then

y - 5 = 3(x - (- 7) ) , that is

y - 5 = 3(x + 7)

Answer:

22 in. and o.5 ft i think so

Answer:

6000 pounds or lbs.

Step-by-step explanation:

A ton=2000 lbs.

Hope this helps! ;-)

Answer:

Step-by-step explanation:

Givens

L = 5

w = 3

Formula

Area = L*w

Solution

Area = 3 * 5

Area = 15

Now double both the width and the Length.

New Length = 2*5 = 10

New Width = 2 * 3 = 6

Area = New Length * New Width

Area = 10 * 6

Area = 60

Answer (look at the choices)

The old rectangle has an area of 15. The new Rectangle has an area of 60. If you double 15, do you get 60. No, so the answer is not A

The new rectangle is 60. If you halve it, do you get 15. No so the answer is Not B

C is the answer

D is you multiply 8 * 15, do you get 60? No so the answer is not D

Answer:

Y=45x

Step-by-step explanation:

Y = f(x)

If you plot a chart, you can find that relation is just a linear relation. So y = mx + c

By putting any one case into the equation, you can find c = 0 and m = 45

Retest the equation for other cases to ensure u are correct

Answer:

The correct answer is b)

Step-by-step explanation:

Answer:

(x-6)^2+(y-5)^2=16

Step-by-step explanation:

Focus on the center point ONLY and change the signs of those numbers to negative for your equation. Count how much the outer circle moves back (which is 4) and times that as your radius

Answer:

12

Step-by-step explanation:

7 times 12 is 84. 4 times 21 is 84. The digits have a sum of 3.

Answer:

The rule is "add 5, add 10, add 20" and the rule keeps doubling.

Answer:

2.25 square inches

Step-by-step explanation:

SOLUTION,

HERE,

AREA OF SQUARE = L²

=(1.5)²

= 2.25 INCHES²

Answer:

2.25 inches

Step-by-step explanation:

The area of a square is two of its sides multiplied together. Each side is 1.5 inches. If you multiply 1.5x1.5, you get 2.25 inches.

Using the area of a rectangle, the total floor area to be tiled = area of the dinning room + area of the lounge floor = 32 m²

The area of rectangle = (length)(width).

Total floor area to be tiled = area of the dinning room + area of the lounge floor

Total floor area to be tiled = (4)(5) + (3)(4)

Total floor area to be tiled = 20 + 12

Total floor area to be tiled = 32 m²

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Kate can see across the horizon by 3.33 times further than Paul.

The volume of the cone can be used to determine how far they can see across the horizon from the cone shape.

Using the volume of the cone

[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

For Kate:

[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{50 }{3}}[/tex]

V = 2.12526863 × 10¹⁵ m³

For Paul

[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{15 }{3}}[/tex]

V = 6.3758059 × 10¹⁴ m³

To determine how much further can kate see across the horizon than Paul, we have:

= 2.12526863 × 10¹⁵ m³/6.3758059 × 10¹⁴ m³

= 3.33 times further.

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Answer:

See below ~

Step-by-step explanation:

Answer:

Solve for x , 1x − 2+1x + 2=4(x − 2)(x + 2) .

1x − 2+1x + 2=4(x − 2)(x + 2)

(x − 2)(x + 2)(x − 2)+(x − 2)(x + 2)(x + 2)=4(x − 2)(x + 2)(x − 2)(x + 2)

(x−2)+(x+2)=4

2x=4

x=2

But 2 is excluded from the domain of the original equation because it would make the denominator of one of the fractions zero--and division by zero is not allowed!  .  Therefore, it cannot be a root of the original equation.  So, 2 is an extraneous solution. So, the equation has no solutions.

Step-by-step explanation:

An equal when substitute x = 4, the solution is not extraneous the solution x = 4 is valid for the original equation.

The equation is: √(2x - 7) = 1

Step 1: Square both sides of the equation to remove the square root:

(√(2x - 7))² = 1²

Simplify:

2x - 7 = 1

Step 2: Add 7 to both sides to isolate the term with "x":

2x - 7 + 7 = 1 + 7

Simplify:

2x = 8

Step 3: Divide both sides by 2 to solve for x:

2x / 2 = 8 / 2

Simplify:

x = 4

Now, we have found that the solution for x is 4.

To check if the solution is extraneous, we need to substitute the value of x back into the original equation and see if both sides are still equal:

Original equation: √(2x - 7) = 1

Substitute x = 4:

√(2(4) - 7) = 1

Simplify:

√(8 - 7) = 1

√1 = 1

1 = 1

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If 10 donuts are sold. Then the expected value of the number of sprinkles will be 5.

Binomial distributions consist of n independent Bernoulli trials.

The expected value will be given as

E(X) = np

At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data.

If 10 donuts are sold.

Then the number of the sprinkles will be

The probability will be

p = 3/6

p = 0.5

n = 10

Then the expected value of the number of the sprinkles will be

E(x) = 10 x 0.5

E(x) = 5

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Answer:

x = 10.9 cm

Step-by-step explanation:

Formula for a cone

Here, we are given :

Solving

Answer:

x ≈ 3.6 cm

Step-by-step explanation:

the volume (V) of a cone is calculated as

V = πr²h ( r is the radius and h the perpendicular height )

here diameter = 7 , so r = 7 ÷ 2 = 3.5 , V = 140 and h = x , then

π × 3.5² × x = 140

π × 12.25x = 140 ( divide both sides by 12.25π )

x = [tex]\frac{140}{12.25\pi }[/tex] ≈ 3.6 cm ( to 1 dec. place )

Answer:

1, because 5 and 14 are divisible by no other number except themselves in this instance only, and for this case, that only number is 1.

Your answer is 1.

Hope this helps

Answer:

4.0  

Step-by-step explanation:

Here is one way

By pythag theorem  AD = sqrt (5,5^2 - 4.3^2) =3.42928564

Then pythag theorem again for the lower triangle

   BD = sqrt (5.3^2 - 3.42928564^2) = 4.041

Answer:

Step-by-step explanation:

the number of people that read the Kantipur or gorkhapatra or the  Himalaya Times = 65 + 10 = 75

Then

The number of people that didn't read all three papers = 100 - 75 = 25

The classification of the shapes into the categories described is as follows;

Plane shapes have peculiar characterization in each case. A triangle can either be isosceles (2 sides of equal length) or right (90⁰ angle measure).

Rectangles, squares and Parallelograms all have parallel sides.

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Answer:

0.0064

Step-by-step explanation:

Probability (2 sets of twins) :

Answer:

288

Step-by-step explanation:

1/2*B*H

1/2*(6*12)*8

1/2*72*8

1/2*576

288

Answer:

[tex]V=288\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the volume

[tex]V = \frac{b*h}{2}[/tex]

[tex]V = \frac{(6\ cm * 12\ cm) * (8\ cm)}{2}[/tex]

[tex]V = \frac{72\ cm*8\ cm}{2}[/tex]

[tex]V=\frac{576\ cm^2}{2}[/tex]

[tex]V=288\ cm^2[/tex]

Answer:  [tex]V=288\ cm^2[/tex]

Answer:

B - 181/500

Step-by-step explanation:

To convert percentages to fractions you divide by 100. That would make this 36.2/100. But we dont like fractions with decimal points in so you would multiply the whole thing by 5 to get rid of the .2 this makes the answer 181/500

Answer:

181/500

Step-by-step explanation:

Firstly do

362/1000 so their is no decimals

then

181/500 which is your answer

Answer:

Alice's age = 5 years

Malice's age = 5 years

Bob's age = 5+8 =13 years

Step-by-step explanation:

Let x be the age (in years of Alice and Malice (They have the same age because they are twins).

Age of Bob: x+8  (because he is 8 years older than the twins).

Then the sum of their three ages is 23:

x (Alice's age) + x (Malice's age) +(x+8 ) (Bob's age)= 23

2x + ( x+8) = 23

3x+8 = 23

3x = 15

(3x)/3 = 15/3

x = 5

So ...

Alice's age = 5 years

Malice's age = 5 years

Bob's age = 5+8 =13 years

Answer: The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Step-by-step explanation:

Answer:

b because it is

Step-by-step explanation:

153.2 is a cool number