What’s the answer for 135.826 - 57.12

A mathematics topic that van be looked into is how linear algebra, graph theory and optimization can be used on the airline industry.

In this case, to solve the scheduling issues faced by airlines such as planning flights, assigning planes and crews to routes - mathematical techniques can be employed.

By leveraging Linear Algebra, operators can simulate the flow of aircrafts and passengers while Graph Theory can help model flight schedules and aircraft routes.

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The end behavior of the graph of f(x) = x⁵ – 8x⁴ + 16x³ does not cross the x-axis at x = 4 and crosses the x-axis at x = 0. This is about the end behavior of a graph of a function at the end of the x-axis. Also, f(x) => -∞ as x => -∞; f(x) => +∞ as x => +∞.

We are given the function;

f(x) = x⁵ - 8x⁴ + 16x³

A) As x approaches negative infinity -∞, x⁵ will also approach negative infinity -∞. This is because when we raise a negative number to the power of an odd number, the result remains negative.

B) As x approaches positive infinity +∞, x⁵ will also approach positive infinity -∞. This is because when we raise a positive number to the power of an odd number, the result remains positive.

Let's now find the roots of this function;

f(x) = x⁵ - 8x⁴ + 16x³

Let's factorize it first to get;

f(x) = x³(x² – 8x + 16)

(x² – 8x + 16) is a perfect square trinomial and can be expressed as (x – 4)(x - 4).

Thus;

f(x) = x³ (x – 4)(x - 4)

C) Since we have found the factorized form to be;

f(x) = x³ (x – 4)(x - 4)

The roots are at f(x) = 0;

The roots are; x³ = 0; (x – 4) = 0 ; (x - 4) = 0

This means the roots of f(x) are; x=0 and x=4.  x = 4

This means the graph has a repeated root and so it will touch the x-axis but not at the repeated root of x=4.

D) Since, 0 is a root and it does not cross at x = 4, the graph will cross at x = 0.

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Answer:

0, -12

Step-by-step explanation:

The measure of the numbered angles of the quadrilaterals in the question are presented as follows;

14. m∠1 = 54°, m∠2 = 36°, m∠3 = 54° m∠4 = 108°, m∠5 = 72°

15. m∠1 = 90°, m∠2 = 45°, m∠3 = 45°, m∠4 = 45°, m∠5 = 45°

16. m∠1 = 64°, m∠2 = 64°, m∠3 = 26°, m∠4 = 90°, m∠5 = 64°

A quadrilateral is a four sided polygon.

14. The figure is a rectangle

The two diagonals of a rectangle are the same length and the diagonals of a rectangle bisect each other, therefore;

The triangles formed by the diagonals of the rectangle are isosceles triangles.

The angle at the vertex of the isosceles triangle that has 36° as the base angle of the triangle is therefore; (180° - 2 × 36°) = 108°

The angle ∠4, is a vertical angle to the angle calculated above, therefore;

m∠4 = 108°

m∠5 = (360° - 2 × 108°) = 72°

m∠5 = 72°

The similar triangles formed by the diagonals indicates that we get;

m∠2 = 36°

m∠1 = (180° - m∠5)/2

Therefore; m∠1 = (180° - 72°)/2 = 54°

m∠1 = 54°

∠1 ≅ ∠3

Therefore; m∠3 = m∠1 = 54°

m∠3 = 54°

15. The quadrilateral is a square, therefore;

The diagonals bisect each other and are perpendicular.

m∠1 = 90° (Definition of perpendicular angles)

m∠5 = (180° - 90°)/2 = 45°

m∠5 = 45°

∠3 ≅ ∠5, therefore;

m∠3 = m∠5 = 45°

m∠3 = 45°

m∠3 + m∠2 = 90° (The vertex angles of a square are 90°)

m∠2 = 90° - m∠3

m∠2 = 90° - 45° = 45° (Substitution property)

m∠2 = 45°

16. The quadrilateral is a rhombus, therefore;

The diagonals of a rhombus perpendicular

Adjacent angles are supplementary

The opposite angles of a rhombus are congruent

The opposite sides of a rhombus are parallel

Diagonals of a rhombus bisect the interior angles

The above properties indicates that we get;

90° + m∠1 + 26° = 180°

m∠1 = 180° - 26° - 90° = 64°

m∠1 = 64°

m∠4 = 90°

The angle ∠3 and the 26° angle are alternate interior angles. Alternate interior angles between parallel lines are congruent, therefore;

m∠3 = 26°

m∠1 = m∠2 (definition of bisected angle), therefore;

m∠2 = m∠1 = 64°

m∠2 = 64°

∠2 and ∠5 are alternate interior angles, therefore;

∠2 ≅ ∠5

m∠5 = m∠2 = 64°

m∠5 = 64°

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Answer:

the answer is 47 sprinklers

Step-by-step explanation:

so the system is 188 and there is one sprinkler every 4 feet

so 188/4 which would give u 47

Answer:

Length = 17

Step-by-step explanation:

So the width is w

The length is w + 11

2w + 2w + 22 = 46

4w = 24

w = 6

l = 17

The length of the rectangle is 17 ft.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Ellie's growth rate is 2.4 pounds per month.

To find Ellie's growth rate in pounds per month, we divide the change in weight by the time period. Let's calculate it using the given information:

Determine the change in weight:

Change in weight = 0.6 pounds

Determine the time period:

Time period = 0.25 months

Calculate the growth rate:

Growth rate = Change in weight / Time period

Substituting the values:

Growth rate = 0.6 pounds / 0.25 months

To divide by a fraction, we multiply by its reciprocal:

Growth rate = 0.6 pounds * (1 / 0.25 months)

Simplifying the fraction:

Growth rate = 0.6 pounds * 4 months

Multiplying:

Growth rate = 2.4 pounds per month

Therefore, Ellie's growth rate is 2.4 pounds per month. This means that, on average, she gains 2.4 pounds every month.

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a is correct

Step-by-step explanation:

Area of Bigger rectangle = 4x2 + 5x - 2

Area of Smaller rectangle = x2 + 3× + 5

diff. = ( 4x2 + 5x - 2) - (x2 + 3x - 5)

= 4x2 + 5x -2-x2 - 3x - 5

= 3x2 + 2x - 7

Answer:

The table that represents g(x) is

x         g(x)

1           1

2          5

3          9

Step-by-step explanation:

From the given information, we have that

f(x) = 2x - 3 and

g(x) = f(2x)

Then,

g(x) = f(2x) becomes

g(x) = f(2x) = 2(2x) -3

g(x) = 4x - 3

Now, we will put the values of x from 1 to 3 into the equation

When x = 1

g(x) = 4x - 3 becomes

g(x) = 4(1) - 3

g(x) = 4 - 3

g(x) = 1

When x = 2

g(x) = 4x - 3 becomes

g(x) = 4(2) - 3

g(x) = 8 - 3

g(x) = 5

When x = 3

g(x) = 4x - 3 becomes

g(x) = 4(3) - 3

g(x) = 12 - 3

g(x) = 9

Hence, the table that represents g(x) is

x         g(x)

1           1

2          5

3          9

Answer:

\(\boxed{2^{\frac{802}{27}} \cdot 3^9}\)

Step-by-step explanation:

I will try to give as many details as possible.

First of all, I just would like to say:

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\($(3^{-2} \cdot 4^{-5} \cdot 5^0)^{-3} \cdot (4^{-\frac{4}{3^3} })\cdot 3^3$\)

Note that

\(\boxed{a^{-b} = \dfrac{1}{a^b}, a\neq 0 }\)

The denominator can't be 0 because it would be undefined.

So, we can solve the expression inside both parentheses.

\(\left(\dfrac{1}{3^2} \cdot \dfrac{1}{4^5} \cdot 5^0 \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{3^3} } }\right)\cdot 3^3\)

Also,

\(\boxed{a^{0} = 1, a\neq 0 }\)

\(\left(\dfrac{1}{9} \cdot \dfrac{1}{1024} \cdot 1 \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{27} } }\right)\cdot 27\)

Note

\(\boxed{\dfrac{1}{a} \cdot \dfrac{1}{b}= \frac{1}{ab} , a, b \neq 0}\)

\(\left(\dfrac{1}{9216} \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{27} } }\right)\cdot 27\)

\(\left(\dfrac{1}{9216} \right)^{-3} \cdot \left(\dfrac{27}{4^{\frac{4}{27} } }\right)\)

\(\left( \dfrac{1}{\left(\dfrac{1}{9216}\right)^3} \right)\cdot \left(\dfrac{27}{4^{\frac{4}{9} } }\right)\)

\(\left( \dfrac{1}{\left(\dfrac{1}{9216}\right)^3} \right)\cdot \left(\dfrac{27}{4^{\frac{4}{27} } }\right)\)

Note

\(\boxed{\dfrac{1}{\dfrac{1}{a} } = a}\)

\(9216^3\cdot \left(\dfrac{27}{4^{\frac{4}{9} } }\right)\)

\(\left(\dfrac{ 9216^3\cdot 27}{4^{\frac{4}{27} } }\right)\)

Once

\(9216=2^{10}\cdot 3^2 \implies 9216^3=2^{30}\cdot 3^6\)

\(\boxed{(a \cdot b)^n=a^n \cdot b^n}\)

And

\($4^{\frac{4}{27}} = 2^{\frac{8}{27} $\)

We have

\(\left(\dfrac{ 2^{30} \cdot 3^6\cdot 27}{2^{\frac{8}{27} } }\right)\)

Also, once

\(\boxed{\dfrac{c^a}{c^b}=c^{a-b}}\)

\(2^{30-\frac{8}{27}} \cdot 3^6\cdot 27\)

As

\(30-\dfrac{8}{27} = \dfrac{30 \cdot 27}{27}-\dfrac{8}{27} =\dfrac{802}{27}\)

\(2^{30-\frac{8}{27}} \cdot 3^6\cdot 27 = 2^{\frac{802}{27}} \cdot 3^6 \cdot 3^3\)

\(2^{\frac{802}{27}} \cdot 3^9\)

Answer:

What the answer

Step-by-step explanation:

Pls

Answer:

Reflect it across the Y axis then do a 90 degree CCW rotation.

Step-by-step explanation:

Answer:

♡ hi there, madi here! ♡

hope your having a great day.

I did the math so here's your answer.

2x−3)(x−3)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

2x-3=0.   x-3=0

Set the first factor equal to 0 and solve.

x=3/2

Set the next factor equal to 0 and solve.

x=3

Therefore, the final solution is all the values that make (2x-3) (x-3)=0 true. x=3/2,3♡

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The volume of the composite figure is 6,330.24 in^3

We know that the volume of half a sphere of radius R is:

V = (2/3)*pi*R^3

Here we know that pi = 3.14 and R = 12 inches, then the volume is:

V = (2/3)*3.14*(12 in)^3 = 3,617.28 in^3

And the volume of a cone of height H and radius R is:

v = (1/3)*pi*R^2*H

So here the volume is:

v = (1/3)*3.14*(12in)^2*18in = 2,712.96 in^3

Then the total volume is:

3,617.28 in^3 +  2,712.96 in^3 = 6,330.24 in^3

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Answer:

A slice of a pie weighs 8 ounces. How many pounds do 6 slices of pie weigh?

Answer: 48 pounds

Step-by-step explanation:

Hope this helps :D

The disadvantages of the mode are: For many sets of data there is no mode.

The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.

However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.

The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.

The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.

The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.

The correct option is: For many sets of data there is no mode.

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The dimensions of the radius is 4/3\(\sqrt{2}\) and that of height is 8/3.

Let r be the radius of the cone,  be the radius of the sphere and h be the height of the cone.

Let's put DˆOB=x with limitations 0≤x≤π.

In the right-angled triangle DOB:

r=DB=Rsinx, OD=Rcosx, than

h=CD=OC+OD=R+Rcosx=R(1+cosx).

So the volume of the cone is:

V=1/3πr²h ⇒V=1/3π(Rsinx)²⋅R(1+cosx)

V=1/3πR³sin²x(1+cosx)

V'=1/3πR³⋅[2sinx⋅cosx⋅(1+cosx)+sin2x(−sinx)]

  =1/3πR³sinx[2cosx(1+cosx)−sin2x]

  =1/3πR³sinx(2cosx+2cos2x−sin2x)

  =1/3πR³sinx(2cosx+2cos2x−1+cos2x)

 =1/3πR³sinx(3cos2x+2cosx−1)

Now let's find the signum of the derivative, since sinx≥0 for every x in the limitations, then:

V'≥0⇒3cos²x+2cosx−1≥0

      ⇒Δ/4=(b/2)²−ac =1+3=4

cosx=(−b/2)±√Δ/4 / a

      =−1±2/3,

So:

cosx≤−1∨cosx≥1/3

The first one has only the solution:

x=π

the second:

−arccos(1/3)≤x≤arccos(1/3), but for the limitations:

0≤x≤arccos(1/3).

The function gros from zero to arccos(1/3), and then it decreases.

So x=arccos(1/3) is the maximum requested.

Let's find now r and h:

r=Rsinx

 =R√1−cos2x

 = 2√1−(1/3)²

 = 2√1−1/9

 =2√9−1/9

 =2√8/9

 =2⋅2√2/3

 =4/3√2

h=R(1+cosx)=2(1+1/3)

 =2(3+1/3)

=8/3.

Therefore the radius is 4/3√2 and the height is 8/3.

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Expand:

-3x - 9 = -3x - 3 - 5

Simplify:

-3x - 9 = -3x - 8

Add 3x to both sides:

-9 = -8

THERE IS NO VALUE FOR X THAT MAKES THIS EQUATION TRUE

62 square yards is the area of the figure.

Area is the measure of a region's size on a surface and the area of a plane region or plane area refers to the area of a shape

In the given figure there are three rectangle in that two are smaller rectangles squares.

The rectangle has length of 10 yd and width of 5 yd.

Area of rectangle (Large)=10×5

=50 square yds

The side length of smaller rectangle is 3 yards and width is 2 yd

Area of rectangle (small)=3×2

6 square yds.

As there are two smaller rectangles, then area will be 2(6)=12 yards.

Now total area = 50+12

=62 square yards.

Hence, the area of the figure is 62 square yards.

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Answer:

I think the answer would be the letter b

Answer:

38

Step-by-step explanation:

perimeter = 2(l+b)

Where l is the length of the rectangle

b is the breadth of the rectangle

P = 2(15+4)

P = 2 × 19

P = 38

It is TRUE to state that w/ a discount factor less than 1, value iteration is guaranteed to converge.

The discount factor ranges from 0 to 1. To represent the importance of a reward R that happens N steps in the future from the current state, multiply it by γⁿ. Consider γ= 0.9 and a reward R = 10 that is three steps ahead of our current condition.

Hence, it is correct to indicate that value iteration is assured to converge if the discount factor 0 < γ < 1.

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Full Question:

For an infinite horizon MDP w/ a finite # of states and actions and w/ a discount factor γ that satisfies 0 < γ < 1, value iteration is guaranteed to converge.

a. true

b. false

(i) The first term (a) is 24 and the common difference (d) is -2.

(ii) The sum of the progression is 2520.

i) Finding the first term and common difference:

Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).

The nth term formula is: An = a + (n-1)d

Using the given information, we can substitute the values:

-54 = a + (40-1)d

-54 = a + 39d

We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:

S15 + S30 = 0

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values for S15 and S30:

[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0

Simplifying the equation:

15(2a + 14d) + 30(2a + 29d) = 0

30a + 210d + 60a + 870d = 0

90a + 1080d = 0

a + 12d = 0

a = -12d

Substituting this value into the equation -54 = a + 39d:

-54 = -12d + 39d

-54 = 27d

d = -2

Now we can find the value of a by substituting d = -2 into the equation a = -12d:

a = -12(-2)

a = 24

Therefore, the first term (a) is 24 and the common difference (d) is -2.

ii) Finding the sum of the progression:

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values:

S40 = (40/2)(2(24) + (40-1)(-2))

S40 = 20(48 - 39(-2))

S40 = 20(48 + 78)

S40 = 20(126)

S40 = 2520

Therefore, the sum of the arithmetic progression is 2520.

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Answer:

4

Step-by-step explanation:

There is only a tenths place so it cannot be rounded to the hundreths or tenths place but it can be rounded to the one's place.

Rounding Rules.

4 and below, round down.

5 and above, round up.

4.3 -> 4

Best of Luck!

The effect on the graph replacing f(x) by f(x)+k is a vertical shift k units.

According to the graph the resulting function is 2 units higher from the original one. This means k has a value of 2.

Answer:

add me as a friend and give me thanks

Step-by-step explanation:

the answer is A for sure

Step-by-step explanation:

first of all, all answer options are basically wrong, because an area is always measured in units² (and not just in units).

the blue colored area is the area of the whole square minus the area of the circle.

the side length of the square is 2 times the radius of the circle (the diameter) : 2×12 = 24 units.

so, the area of the square is

24² = 576 units²

the are of the circle is

pi×r² = pi×12² = 144pi units²

so, the blue area is

576 - 144pi = 123.6106579... ≈ 124 units²

therefore, D is the right answer.

Answer:

Six Hundred and five thousand

Answer: six hundred and five thousand

I hope this help I would appreciate brainliest if possible :)

Answer:

515

Step-by-step explanation:

Answer:

511

Step-by-step explanation:

ur mom