The figure below to the left is a graph of f(x), and below to the right is g(x).
The figure below to the left is a graph of f(x), a
(a) What is the average value of f(x) on 0≤x≤2? avg value = __________
(b) What is the average value of g(x) on 0≤x≤2? avg value = __________
(c) What is the average value of f(x)?g(x) on 0≤x≤2? avg value = _________
(d) Is the following statement true?
Average(f)?Average(g)=Average(f?g)
A. Yes
B. No

Answer: 1) 288 inch^3

2) 960 inch^3

3) 188 cm^3

4) 44 inch^3

5) 396 ft^3

6) 552 inch^3

Step-by-step explanation:

1) (2*3)(3*2)(2*4)=288 inch^3

2) (4*5)(4*3)(4*1)=960 inch^3

3) 4*4*8+3*4*5=188 cm^3

4) 2*2*8+2*6*1=44 in^3

5) 4*6*6+6*6*7=396 ft^3

6) 8*6*10+4*3*6=552 in^3

The Dual of Boolean Expression is defined as an expression that is obtained by interchanging the addition and multiplication and interchanging the 0's and 1's .

What is a Boolean Expression ?

The Boolean Expression is defined as an logical statement which results in the Boolean value which can either be True or False.

Sometimes, the synonyms is used to express statement such as ‘Yes’ for ‘True’ and ‘No’ for ‘False’. and also, 1 and 0 are used for digital circuits for True , False .

If in the Boolean expression , the addition and multiplication are interchanged and the binary 0 and 1 are also interchanged then the resulting expression will be called as a Dual Of Boolean Expression .

The given question is incomplete , the complete question is

What is Dual Boolean Expression ?

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Answer:

[tex]\sqrt{75x^4y^7} = 5x^2y^3\sqrt{3y}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{75x^4y^7[/tex]

Required

Rewrite

Express 75 as 25 * 3

[tex]\sqrt{75x^4y^7} = \sqrt{25 * 3x^4y^7}[/tex]

Split

[tex]\sqrt{75x^4y^7} = \sqrt{25} * \sqrt{3x^4y^7}[/tex]

This gives:

[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3x^4y^7}[/tex]

Express y^7 as y^6 * y

[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3*x^4 * y^6 * y}[/tex]

Split

[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3} *\sqrt{x^4} * \sqrt{y^6} * \sqrt{y}[/tex]

Express square roots as exponents

[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3} * x^{(4 * \frac{1}{2})} * y^{(6* \frac{1}{2})} * \sqrt{y}[/tex]

[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3} * x^2 * y^3 * \sqrt{y}[/tex]

Rewrite the factors

[tex]\sqrt{75x^4y^7} = 5 * x^2 * y^3* \sqrt{3} * \sqrt{y}[/tex]

[tex]\sqrt{75x^4y^7} = 5x^2y^3* \sqrt{3} * \sqrt{y}[/tex]

Combine roots

[tex]\sqrt{75x^4y^7} = 5x^2y^3* \sqrt{3y}[/tex]

[tex]\sqrt{75x^4y^7} = 5x^2y^3\sqrt{3y}[/tex]

Answer:

[tex]P=\$40840[/tex]

Step-by-step explanation:[tex]I=840[/tex]

From the question we are told that:

Time interval [tex]t=50-40=>10years[/tex]

Annual contribution [tex]X= 4*1000=>\$4000[/tex]

Annual interest rate [tex]r=2.1\%[/tex]

Generally the 10 years interest I is mathematically given by

[tex]I=X*t*r[/tex]

[tex]I=4000*0.021*10[/tex]

[tex]I=840[/tex]

Generally the equation for  the future value of the investment [tex]P[/tex]  is mathematically given by

 [tex]P=X*t+840[/tex]

 [tex]P=(4000*10)+840[/tex]

 [tex]P=\$40840[/tex]

Answer:

Step-by-step explanation:

Trust me

Answer:

T = (m × 20) + 25

(2.5 × 20) + 25 = 75

75 minutes

110 - 25 = 85

85 ÷ 20 = 4.25

4.25 kilograms

The probability of picking a yellow sweet tart three times in a row is 0

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here, There are  4 pink, 1 blue, 2 yellow, 3 purple and 2 green SweetTarts. P(yellow ball three times in a row) = 2/12 ×1/11 ×0/10

                                                                             = 0

Hence, The probability of picking a yellow sweet tart three times in a row is 0

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x+5 is the way we can write 5 more than a number.

In a formula or equation involving mathematical operations, the representation of numbers by alphabet is referred to as algebra.

Using the knowledge provided above, we must translate the mathematical statement provided in the question into an algebraic expression. Let's say that number is "x". The result of adding 5 to the provided number is a number that is 5 greater than this number. Thus, a number that is 5 more than x is equal to x+5. As a result, "5 more than a number" is represented by the algebraic expression "x+5".

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Answer:

Step-by-step explanation:

the area of the hemisphere is  1/2 [tex]\pi[/tex][tex]r^{2}[/tex]

the radius is 1/2 the diameter,

the diameter is also the hypotenuse of the isosceles triangle

[tex]d^{2}[/tex] = [tex]4^{2}[/tex]+[tex]4^{2}[/tex]

[tex]d^{2}[/tex] = 32

d =[tex]\sqrt{32}[/tex]

r = 1/2[tex]\sqrt{32}[/tex]

1/2[tex]\pi[/tex](1/2[tex]\sqrt{32}[/tex])^2

1/2[tex]\pi[/tex](1/4*32)

(32/8 )*[tex]\pi[/tex]

4[tex]\pi[/tex] ( the entire upper hemisphere )

area of the triangle is  1/2* 4 *4 = 8

then the exact area of the parts of the circle would be

4[tex]\pi[/tex] - 8    

Answer:

Parallelograms have two symmetries but this kite had only one symmetry  

Define symmetry-The symmetry that a figure has if it can be divided by a line into two parts that are mirror images.

Observe my example why its not a parallelogram...

Hope this helps plz like and brainly :D

Much would be appreciated <3

9.6 quarts

First, find the unit rate, which is that when you divide 16 and 5 and you will get 3.2, then you multiply it with 3 for the 3 flower pots, and that's how you end up with the answer

Answer:

Step-by-step explanation:

Since you already know that one of the angles is 21 degrees, this helps you A LOT. In total the line is 180 degrees so to find x you just do 180-21 which equals 159

x+ 159 degrees

Answer:

3.14 x 3.8^2 = 45.3416

* find the surface area

hope this helped

Step-by-step explanation:

Answer:

if your going by 3 as pie you would do this:

Step-by-step explanation:

3*3.8*3.8=43.32

The distance between points L and K is 4 units.

The distance formula between two points (x₁, y₁) and (x₂, y₂) is gien by,

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].

Given, Are two points L and K.

The coordinate points of L(- 2, 6) and K(- 2, 2).

Therefore, The distance between points L and K is,

[tex]|LK| = \sqrt{(- 2 + 2)^2 + (2 - 6)^2}[/tex].

[tex]|LK| = \sqrt{16}[/tex].

[tex]|LK| = 4[/tex].

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Answer:

70 inches

Step-by-step explanation:

From the diagram attached,

Assuming the width, lenght and diagonal of the rectangle forms a right angle triangle.

Applying pythagoras theorem,

a² = b²+c²................... Equation 1

Where a = diagonal =  25 inches, b = width = 3x inches, c = length = 4x inches

Substitute these values into equation 1 and solve for x

25² = (4x)²+(3x)²

625 = 14x²+9x²

625 = 25x²

25x² = 625

x² = 625/25

x² = 25

x = √25

x = 5 inches.

Therefore,

Width(w) = 3×5 = 15 inches

Length(l) = 4×5 = 20 inches

Perimeter (P) = 2(l+b)

P = 2(15+20)

P = 2(35)

P = 70 inches

Hence the perimeter of the frame is 70 inches

Answer:

48cm^2

Step-by-step explanation:

Rectangle=LxW

Triangle=bh/2

Rectangle: 10x4=40cm^2

Triangle: 4x4=16/2=8cm^2

40+8=48cm^2

Hope this helps :)

Answer:

the answer is 64 dollars or pounds or whichever currency

Answer:

The bord game is 64$.

Step-by-step explanation:

80/10=8

8*(8-2)=

64$

The correct option is (d). The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the y axis

The difference between the areas beneath the two curves that form a boundary is the area between the curves. You will then have the area between the two curves, or the difference, between them.

The washer method enables us to use cylindrical discs with holes to compute the volume of solids in a rotation.

[tex]$$\begin{aligned}& V=\int_a^b \pi\left(x_1^2-x_2^2\right) d y \\& =\int_0^1 \pi\left(y^2-\left(y^2\right)^2\right) d y \\& =\int_0^1 \pi\left(y^2-y^4\right) d y\end{aligned}$$[/tex]

Therefore, the solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y² around the y axis.

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Answer:

x = - 7

Step-by-step explanation:

given that the 3 angles in the triangle are congruent, then the triangle is equilateral with the 3 sides congruent , then

x + 16 = 9 ( subtract 16 from both sides )

x = - 7

Answer:

x=-7

Step-by-step explanation:

The triangles sides are all the same in length, therefore, you need all the sides to be equal to 9.

-12+16=4   This addition problem does not equal to 9 so it is not correct.

-7+16=9     This is correct because -7+16 or 16-7 = 9.

-9+16=7    This addition problem does not equal to 9 so it is not correct.

-11+16=5    This addition problem does not equal to 9 so it is not correct.

So, x = -7.

Answer:

ocean crust is thinner

Step-by-step explanation:

Answer:

Oceanic crust is thinner  

hope this helped

Step-by-step explanation:

Answer:

5.9 radian

Step-by-step explanation:

Applying,

S = 2πrФ/360°................. Equation 1

Where s = length of the arc, r = radius, Ф = angle.

make Ф the subject of the equation

Ф = 360S/(2πr)........... Equation 2

From the question,

Given: S = 30.3, r = 5.1

Constant: π = 3.14

Substitute into equation 2

Ф = (360×30.3)/(2×5.1×3.14)

Ф = 340.58°

Ф = (340.58×2×3.14)/360

Ф = 5.9 radian

Parentheses are employed to indicate changes to the usual order of operations.

The well-known () symbols, often known as "round brackets," are used in pairs to group things together or designate the order of operations in an equation. You will frequently need to employ brackets in math when forming or resolving equations. They support number grouping and operation definition.

{}, [] are other type of brackets.

In mathematical expressions, parentheses are employed to indicate changes to the usual order of operations (precedence rules). In an expression like, the portion of the expression enclosed in parentheses,, is first assessed, and the outcome is then incorporated into the remaining portions of the expression.

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Answer:

40%

Step-by-step explanation:

1 and 3/5 as a fraction is 8/5 which as a percent is 160%.

25% of 16 is 4

160%/4 = 40%

Answer:

i think you have to soleve that srry

Answer:

167 feet

Step-by-step explanation:

Please see the attached image.

(90-42)°=48°

The tangent of an angle is the opposite side relative to that angle divided by the adjacent side.

tan(48°)=x/150

x=tan(48°)*150

x≈167

Answer: 167 feet

The AROC is 3 for the interval 2 < x < 5, which is the correct answer that would be option (A).

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

The table is given in the question as follows:

x          y

0         -2

1         -3

2         0

3         3

4         6

5         9

We have to determine the Average Rate of Change in the table below for the interval 2 < x < 5

As per the given table, the required AROC would be as:

⇒ (9 - 3)/(5-3)

⇒ 6/2

Apply the division operation, and we get

⇒ 3

Hence, the correct answer would be option (A).

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The statistical model is not good, and this is true for a negatively skewed curve.

It is a statistical term implies that a curve is skewed at the left side.

In a statistical data for a certain distribution, we can get a negatively skewed curve when most of the data values are located on the right side of the distribution graph. The high concentration of values on the right side of distribution curve forms a long tail in the negative direction.

In general, negatively skewed curve is not good because it expresses the tendency of left tail events. Negatively skewed curves indicate a poor return from an investment. That means a person might be earn lower or no profit from his business. In case of an exam scores, negative skewed data value implies the question was too easy to perform better than usual.

In a word, left skewed or negatively skewed curve or data values inform us to be aware about the current statistical model and inspire us to take proper steps for wellbeing.

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Answer:

n=0

Step-by-step explanation:

0 - 2 = -2

-2 + 2 = 0

Answer:

THE FIRST ONE

Step-by-step explanation: