For which function is the average rate of change over the interval 1 < x < 5 greater than the average rate of change over the same interval for the function g(x) = 1. 8x2?

To prove a number is irrational we divide the integer by another integer is the decimal is non terminating and non repeating then it will be a irrational number .

What are Irrational Numbers ?

The Irrational numbers can be defined  a number that cannot be expressed as a fraction [tex]\frac{p}{q}[/tex] for any integers p and q.

The Irrational numbers have decimal expansions that do not terminate nor repeat (periodic) . Every transcendental number is an irrational number .

(i) To prove a number irrational  when we divide an integer by another integer, and  if decimal expansion does not terminate and do not  repeat then it is an irrational .

(ii) if the number cannot be expressed in the form of [tex]\frac{p}{q}[/tex] , then also the number will be called as irrational numbers .

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The number of times the diameter of Uranus is larger than the diameter of Mars is 7.5 times

From the question, we have the following parameters that can be used in our computation:

The diameters of Uranus and Mars

These diameters are given as

Diameter of Uranus: 5.11×10^4 kilometers

Diameter of Mars: 6.79×10^3 kilometers

Express the diameters properly

So, we have the following representation

Diameter of Uranus: 5.11 × 10⁴ kilometers

Diameter of Mars: 6.79 × 10³ kilometers

This means that

Number of times larger = Diameter of Uranus/Diameter of Mars

Substitute the known values in the above equation, so, we have the following representation

Number of times larger = 5.11 × 10⁴ kilometers/6.79 × 10³ kilometers

Evaluate the quotient

So, we have the following representation

Number of times larger = 7.5

Hence, the number of times is 7.5

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Answer:

The percentage rate is 4.5%

Step-by-step explanation:

The simple interest earned in this situation is $1270 - $1000, or $270.

the simple interest formula is i =prt.

Here, i = $270 = ($1000)(r)(6 yr).

                $270

Then r = ------------------- = 0.045

                $1000(6 yr)

The percentage rate is 4.5%

Answer:

25%

Step-by-step explanation:

55 + 12 + 88 + 45 + 9 + 91=300/12=25=25%

Answer:

ED = AB = 25√3

Step-by-step explanation:

Let ED = AB = X

DC = 100 - BC

Tan 60 = [tex]\frac{\sqrt{3} }{1} = \frac{ED}{DC}[/tex] = [tex]\frac{X}{100-BC}[/tex]

[tex]\sqrt{3} (100-BC) = X[/tex]

Tan 30 = [tex]\frac{1}{\sqrt{3} } = \frac{AB}{BC} = \frac{X}{BC}[/tex]

[tex]\frac{BC}{\sqrt{3} } = X[/tex]

[tex]\sqrt{3} (100-BC) = \frac{BC}{\sqrt{3} } \\3(100-BC) = BC\\300 - 3BC = BC\\300 = BC + 3BC\\300 = 4BC \\75 = BC[/tex]

X = [tex]\frac{BC}{\sqrt{3} } = \frac{75}{\sqrt{3} }\\[/tex]

X = 25√3

The degree of the polynomial  [tex]2xA^2 5xA^2A^37[/tex] is 9

A polynomial's degree is the sum of the degrees of its monomials with non-zero coefficients. A term's degree is the sum of the exponents of the variables in it, and it is thus a non-negative integer.

The degree of a polynomial is the highest or largest power of a variable in a polynomial equation. The degree denotes the polynomial with the maximum exponential power (ignoring the coefficients).

Consider the following polynomial expression with two variables: [tex]x^3 + 6x^2y^4 + 3y^2+5[/tex]

The polynomial has a degree of 6.

This is because the exponent values of x and y in the second term of the algebraic formula, [tex]6x^2y^4[/tex], are 2 and 4, respectively. We get 6 when we sum the exponent values. As a result, the multivariable polynomial expression has a degree of 6.

As per question, polynomial is: [tex]2xA^2 5xA^2A^37[/tex]

The total sum of power is: 1+2+1+2+3=9

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Answer:

Length * Height * Width, or V = L * H * W. Ex: V = 5 in.

Answer:

28

Step-by-step explanation:

We are given the area of a base and the width of the prism.

Volume = area of base * width

Volume = 8/3 * 21/2 = 28

Elimination is a method of solving a system of equations using addition or subtraction to eliminate one of the variables.

Here we will use the elimination method to solve a system of three equations with three variables.

Let's say we have three equations with three variables x, y and z.

Equation 1:  ax + by + cz = d

Equation 2:  ex + fy + gz = h

Equation 3:  ix + jy + kz = l

We will start by multiplying the first equation by a number that will make the coefficients of y in the two equations the same.

Let's say we choose to multiply the first equation by -f, so that we get:

-fax -fby -fcz = -fd

Now we add the two equations to eliminate y:

ax + by + cz + (-fax -fby -fcz) = d -fd

ax -fax + by -fby + cz -fcz = d -fd

(a -f)x + (b -f)y + (c -f)z = d -fd

Now we can multiply the second equation by a number that will make the coefficients of z in the two equations the same. Let's say we choose to multiply the second equation by -k, so that we get:

-kex -kfy -kgz = -kh

Now we add the two equations to eliminate z:

(a -f)x + (b -f)y + (c -f)z + (-kex -kfy -kgz) = d -fd -kh

(a -f)x + (b -f)y + (c -f)z -kex -kfy -kgz = d -fd -kh

(a -f -k)x + (b -f -k)y = d -fd -kh

We can now solve this equation for x:

x = (d -fd -kh - (b -f -k)y) / (a -f -k)

Now we can substitute this expression for x in any of the original equations and solve for y:

Let's choose to substitute in the first equation:

ax + by + cz = d

(d -fd -kh - (b -f -k)y) / (a -f -k) + by + cz = d

y = (d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k) -cz) / (b -f -k)

Now we can substitute this expression for y in any of the original equations and solve for z:

Let's choose to substitute in the second equation:

ex + fy + gz = h

e(d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k)) + f(d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k)) + gz = h

gz = h -e(d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k)) -f(d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k))

z = (h -e(d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k)) -f(d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k))) / g

Now we have

x = (d -fd -kh - (b -f -k)y) / (a -f -k)

y = (d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k) -cz) / (b -f -k)

z = (h -e(d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k)) -f(d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k))) / g

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With standard deviation of 2 pounds, the range of weight 99.7% of dogs have will be approximately 24–36 pounds.

The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed.

We have given,

Mean weight of Eskimo dogs is μ = 30 pound

Standard deviation of Eskimo dogs is σ = 2 pound

The range of weights would 99.7% of the dogs have,

R =  μ ± 3σ

R = 30 ± 3*2

R = 30 ± 6

R = (30 - 6) , (30 + 6 )

R = 24, 36

With standard deviation of 2 pounds, the range of weight 99.7% of dogs have will be approximately 24–36 pounds.

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Answer:

Tori spends $342.00 on coffee over 9 months

Step-by-step explanation:

38 x 9 = 342

= $342.00

On solving the provided question we can say that *629 = n - 99 is an equation. The textbook contains 728 pages*.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

In other words, the geometry book is 99 pages LONGER than the algebra book, which is 99 pages SHORTER. The solution can be obtained using this equation. I'm sorry, but 530 is not the solution.

629 = n - 99 is an equation. The textbook contains 728 pages*.

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The height of the tree to the nearest hundredth of a meter is 10.5 meters.

The length of Jai's shadow = length of tree's shadow - distance of standing of Jai

Length of Jai's shadow = 39.55 - 34.1

Performing subtraction on Right Hand Side of the equation

Length of Jai's shadow = 5.45 meters

Tan theta = height of tree/length of shadow = height of Jai/length of his shadow

height of tree/39.55 = 1.45/5.45

Keep the values in formula

Height of tree = 39.55×1.45/5.45

Performing multiplication

Height of tree = 57.35/5.45

Performing division

Height of tree = 10.5 meters

Thus, the height of tree is 10.5 meters.

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Step-by-step explanation:

credits are also on there

Answer: 5 ft

Step-by-step explanation:

Given

The path of the swimmer is given by

[tex]h=-0.1d^2+0.1d+3[/tex]

The swimmer can go horizontally depends upon the depth

So, find the maximum depth by taking derivative w.r.t height

[tex]h'=-0.2d+0.1[/tex]

Put derivative equal to 0

[tex]\Rightarrow -0.2d+1=0\\\\\Rightarrow d=\dfrac{1}{0.2}\\\\\Rightarrow d=5\ ft[/tex]

thus, the swimmer can go up to a distance of 5 ft.

Answer:

The polygons area is 283 in2

Step-by-step explanation:

lamo why u doin work on the weekend you should go nd enjoy it!

Answer:

It would be C.

Step-by-step explanation:

This is because the given measurement is for the area of the polygon. With this, the tiling of square tiles to measure a polygon is a way of measuring its area.

Answer:

ahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

ahhhhhhhhhhhhhhhhhhhhhhhhh

answ

Answer:

Use this link

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/math/mixednumbers.php copy and paste

Answer: 1/9 of the cake

Step-by-step explanation:

Charlie ate 2/3 of the cake which means that what is left to give the friends is:

= 1 - 2/3

= 1/3 of the cake

This was divided equally amongst three friends so the expression would be:

= 1/3 ÷ 3

This can also be written as:

= 1/3 * 1/3

= 1/9

Each friend got 1/9 of the cake.

Answer:

1/9 of the cake

Step-by-step explanation:

1  -  2/3    =   1/3   left

(1/3)  / 3   =    1/9   =  what each friend got

In  one fell  swoop  we  have  ( 1 - 2/3)  / 3     =   1/9

Answer:

zero is the simplified answer

Step-by-step explanation:

it's just as adding -5 to 5 which are additive inverse to each other so they cancel each other out ,, so -5 + 5 = 0

same for -5x +5X =0

Answer:

Step-by-step explanation:

1 quart =  2 pints  =  4 cups

1 pint = 2 cups

1/2 pint =  1  cup    .....so.....

First question

5 quarts  =  10 pints

10 * (3/4)  =  7.5 pint   contianers   will fill it  3/4  full  

7.5   pints   =    7  pints   +  1 cup

Answer:

7

Step-by-step explanation:

[36 + ( 3 × 2 ) ] ÷ 6 = 7

Answer:

7

Step-by-step explanation:

[ 36 + ( 3 × 2 ) ] ÷ 6

= [ 36 + 6 ] ÷ 6

= [ 42 ] ÷ 6

= 7

Answer:

times it by

Step-by-step explanation:

3×3=9, 9×3=27, 27×3=81, 81×3=243

sorry if this isn't the answer your looking for.

Answer:

b and d

Step-by-step explanation:

slope is  -0.632 which is quite literally what d is saying, (on terms of graphs) for every 1 square over it goes -0.63 squares down

Answer:

3

-3

sqrt(9)

-sqrt(9)

Step-by-step explanation:

What number multiplied by itself will give you 9

3*3 =9

-3*-3 =9

sqrt(9) * sqrt(9) = sqrt(81) = 9

-sqrt(9) * -sqrt(9) = + sqrt(81) =9

Answer:

[tex] 3[/tex]

[tex] - 3[/tex]

[tex] \sqrt 9[/tex]

[tex] - \sqrt 9[/tex]

Step-by-step explanation:

[tex] {x}^{2} = 9 \\ \\ x = \pm \sqrt{9}\\ \\ x = - \sqrt{9}, \:x = \sqrt{9}\\ \\ x = - {3} \: \: x = {3} [/tex]

Angle sum of three angles of ABC triangle must be equal to 180 degrees.

Angle is the space between two intersecting lines or surface or at close to the point where there ends point meet.

A triangle is a polygon that has three straight sides and three angles.

Let, ABC is a triangle. The angles in this triangle can be different types.

All angles in ABC can be lies between 90 degrees and that time triangle is called acute triangle. If ABC has one right angle, then this is termed as right-angled triangle.

If one of the angles is measured greater than 90 degrees, the triangle is called obtuse triangle.

if we find all angles in ABC triangle is equal to 60 degrees, this is termed as equilateral triangle.

But for each triangle, the sum of three angles must be equal to 180 degrees.

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Answer:

x = 38

Step-by-step explanation:

180 - 68 = 112

122 + 20 + x = 180

142 + x = 180

180 - 142 = x

x = 38

Have a nice day!

The triangle in the figure can be proved by ASA, SAS, and AAS

Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules

Some of the rules include

Side -  Side - Side = SSS

Side - Angle - Side = SAS

Angle - Side - Angle = ASA

Angle - Angle - Side = AAS

Hypotenuse and one leg = HL

The problem requires the prove by ASA, SAS, and AAS to ensure that the the triangles are congruent.

Alternate angles in the figure are also equal

According to the ASA rule, two triangles are said to be congruent if any two angles and the side located between the angles of one triangle are equal to the corresponding two angles and side located between the angles of the second triangle.

The Angle-Angle-Side (AAS) Congruence Theorem states that two angles and a non-included side in one triangle must be congruent with two angles and the equivalent non-included side in another triangle for the triangles to be congruent.

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Answer:

uhhugvtrctreex

Step-by-step explanation:

Answer:

(4,-2)

Step-by-step explanation: