What is the reciprocal of 1 4/13

The average value of f is 16.25.

A contour line of a function of two variables is a curve along which the function has a constant value, so that the curve joins points of equal value. It is a plane section of the three-dimensional graph of the function f parallel to the-plane.

Given that, a contour map is shown for a function f on the square R = [0, 8] [0, 8].

Since the given square is 8 by 8 and we are using m=n=2, then each sub-rectangle is 4 by 4. So, the area of the given rectangle is 64 and the area of each sub-rectangle is 16, that is, ΔA=16

Furthermore, the centers of the sub-rectangles are (2,2),(2,6),(6,2),(6,6).

a) The estimated value of [tex]\int\limits\int\limits_R f{x} \, dA[/tex]

=16⋅f(2,2)+16⋅f(2,6)+16⋅f(6,2)+16⋅f(6,6)

≈16⋅27+16⋅3+16⋅12+16⋅23

≈1040

b) The average value of f will be

[tex]f_{avg}=\frac{1}{A}.\int\limits\int\limits_R (x, y) \, dA[/tex]

≈ 1/64 ×1040

≈ 16.25

Therefore, the average value of f is 16.25.

Learn more about the contour map here:

https://brainly.com/question/15942208.

#SPJ1

Answer: 35 would be the median

Step-by-step explanation: Put the numbers in order and whichever one is the middle value is the median

Answer:

35

Step-by-step explanation:

The median is the middle price when listed from smallest to largest

31, 34,   35,    48, 50

The middle price is 35

The median is 35

Balance after 8 years is $2,306.86 at an interest rate of 15 % compounded yearly.

Compound interest simply refers to the fact that an investment, loan, or bank account's interest accrues exponentially over time as opposed to linearly over time. The word "compound" is crucial here.

given, Melissa opened a savings account and deposited $700.00 as principal. The account earns 15% interest

from the general formula of compound interest

A = [tex]P(1 + r/n)^{nt}[/tex]

where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years.

Given, P = 700$

r = 15%

t = 8 years

A = 700(1 + 15/100)⁸

A = 2306.86$

Therefore, At a 15% annual compounded interest rate, the remaining balance after 8 years is $2,306.86.

Learn more about compound interest here:

https://brainly.com/question/14295570

#SPJ1

Answer:

5

Step-by-step explanation:

Answer:I believe it would be 5

Step-by-step explanation:

because if you do it on a table chart you reach five first as the same number

The remainder on dividing 2x⁴-3x+3 by x-1 is 2

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here: 2x⁴-3x+3 by x-1

The remainder theorem states that when a polynomial p(x) is divided by (x - a), then the remainder = f(a)

∴ The remainder would is f(1) = 2×1-3+3

                                                 =2

Hence, The remainder on dividing 2x⁴-3x+3 by x-1 is 2

Learn more about functions here:

https://brainly.com/question/28303908

#SPJ1

The required exponential function is given as y = aˣ where the value of a should be positive always.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

here,
Since from the above definition exponential function is given as y = aˣ,
This shows the exponential increase and decrease, by means of exponential increase and decrease, a sudden in increase and sudden decrease of function as the value of a varies, see in the graph after the answer. And the value of an always remains positive.

Thus, the required exponential function is given as y = aˣ where the value of a should be positive always.

Learn more about exponential function here:

brainly.com/question/15352175

#SPJ1

Rami's glass is fuller than Will's glass by 1/8

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

Rami's glass is 1/2 full. Will's glass is 3/8 full.

Convert the fractions to decimal

This gives

Rami's glass is 0.5 full. Will's glass is 0.375 full.

0.5 is greater than 0.375

So, Rami's glass is fuller

To do this, we calculate the difference

So, we have

Difference = 0.5 - 0.375

Evaluate

Difference = 0.125

Rewrite as

Difference = 1/8

Hence, it is 1/8 fuller

Read more about fraction at

https://brainly.com/question/2929160

#SPJ1

Answer:

3

Step-by-step explanation:

[tex] \sin(45) = \frac{a}{7 \sqrt{2} } [/tex]

[tex]a = 7[/tex]

[tex] \tan(30) = \frac{7}{c} [/tex]

[tex]c = 7 \sqrt{ 3} [/tex]

therefore 3 is required in the green box

The reference angle of 7pi/4 is pi/4

The acute angle formed by the terminal arm or side and the x-axis is known as the reference angle.

There is always a positive reference angle. The reference angle is, in other words, the angle formed by the terminal side and the x-axis. It must always be positive and less than 90 degrees.

considering angle 7 pi/4, the angle is pi/4 away from 2 pi.

7 pi/4 + pi/4 = 8 pi/4 = 2 pi

We can therefore conclude that 7 pi/4 is an angle on the third quadrant and the reference angle is pi/4.

Learn more about reference angle at:

https://brainly.com/question/1603873

#SPJ1

Therefore , the solution to the given problem of trigonometry comes out to be  Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.

Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every straight-sided form may be reduced to a set of triangles. Amazingly intricate connections exist between trigonometry and other areas of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series.

Here,

Geometry has a wide variety of shapes depending on the size. The 2-d shapes include a variety of polygonal forms and the following: circle, triangle, square, rectangle, kite, trapezium, parallelogram, and rhombus.

The fundamental shapes in three dimensions are cube, cuboid, sphere, cone, and cylinder.

Many sports use geometric forms to help delineate the precise areas of play.

View the soccer field below to see how it is composed of quadrilaterals, rectangles, 90-degree angles, and circles.

Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.

Therefore , the solution to the given problem of trigonometry comes out to be  Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.

To know more about trigonometry , visit

brainly.com/question/12068045

#SPJ1

will she have enough time for 12 slides?  we dunno, but we know it takes 1/6 hour to make one hmmm for 12 slides that'd be simply their product

[tex]\stackrel{slides}{12}\cdot \stackrel{\textit{it takes one}}{\cfrac{1}{6}}\implies \cfrac{12}{6}\implies 2~hours\qquad \textit{yeap, she has enough time}[/tex]

she even has an extra 30 minutes to check out what's for dinner.

Answer: The equation Y-5 = -7/3(X-3) in standard form is:

3Y - 15 = -7X + 21

Step-by-step explanation:

The amount of change that Tina got back would be = $10

The amount of hours Tina spent in canoeing = 6 hours

The amount paid per hour for canoeing = $4

Therefore the total amount spent on canoeing = 6×4 = $24

The cost of the life jacket = $6

Therefore the total amount Tina spent = total amount spent on canoeing + cost of the life jacket.

That is; 24+6 = $30

The change Tina will receive from the two twenty dollars bills = (2×20) - 30

= 40-30 = $10

Learn more about addition here:

https://brainly.com/question/25421984

#SPJ1

Answer:

59.5765%

Step-by-step explanation:

$35.74/$59.99

If we compare the given values then we can find that database B is more likely to have a smaller standard deviation.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.

While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

Given that the values in database A are 0 from 100 and have a mean of 50 and Database B has entries from 49 to 51 and also has a mean of 50.

We are required to find the database whose standard deviation is lower.

Standard deviation measures the variation of values. It is calculated after finding the mean. The square of a standard deviation is known as a variance.

Database A has values from 0 to 100 and has a mean of 50. Because the values are somewhat very larger than 50 and database B has values from 49 to 51, there are more chances that the standard deviation of database B will have a smaller value than the standard deviation of database A.

Hence if we compare the given values then we can find that database B is more likely to have a smaller standard deviation.

Learn more about standard deviation at

brainly.com/question/475676

#SPJ1

The given polynomial is a factor of P(x) because P(-5)=0.

The Remainder Theorem states that if a synthetic division of a polynomial by x = a results in a zero remainder, then x = an is a zero of the polynomial (thanks to the Remainder Theorem), and x an is also a factor of the polynomial (courtesy of the Factor Theorem).

The Factor Theorem states that x - c is only a factor of P(x) when P(c) = 0.

To know more about Remainder Theorem visit:-

brainly.com/question/9160275

#SPJ1

The polynomial 4 · x³ is a monomial of degree 3.

In algebra there are two types of numbers: constants and variables. Constants are constant real numbers, while variables are real numbers that may represent more than a real number.

Polynomials are the result of combination of constants, variables and fundamental operators (addition, multiplication) and can be classified according to the number of terms:

Monomial - Polynomial with one term.

Binomial - Polynomial with two terms.

Trinomial - Polynomial with three terms.

Polynomial - Polynomial with four or more terms.

The grade of the polynomial is the maximum power that accompany a term in a polynomial in standard form. Then, we can bring an example of polynomial with a degree 3 below:

p(x) = 4 · x³

This is a monomial (polynomial with one term) with degree 3.

To learn more on polynomials: https://brainly.com/question/20121808

#SPJ1

By finding a common factor, we can rewrite the expression as:

54 + 72 = 18*(3 + 4)

The distributive property says that we can write:

C*(A + B) = C*A + C*B

In this case, we want to rewrite the expression:

54 + 72

So the first thing we need to find is a common factor between these two numbers.

We can rewrite these as:

54 = 2*3*3*3

72 = 2*2*2*3*3

The maximum common factor between these two nmbers is:

2*3*3 = 18

Then we can rewrite:

54 = 18*3

72 = 18*4

Then we can rewrite the expression as:

54 + 72 = 18*3 + 18*4 = 18*(3 + 4)

Learn more about the distributive property:

https://brainly.com/question/4077386

#SPJ1

If the height of a right triangular prism is 1⁵/₆ inches. The surface area of the solid formed is 598.33 in².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.

First step:-

Right triangular prism=1⁵/₆ inches= 11/6 inches

Height of the base=8²/₃ inches = 26/3 inches

Second step:-

Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)

Surface area = 5(100) +43.33+ 3(18.33)

Surface area = 500) +43.33 + 55

Surface area = 598.33 in²

Therefore the surface area of the solid formed is about 598.33 in²

Learn more about the surface area here:

brainly.com/question/27232541

#SPJ1

The newly rewritten function expression of V(x) is V(x) = (x)(x + 1)(x – 2)/1000

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

A function expression

The function expression is given as

V(x) = (x)(x + 1)(x – 2)

Where if x is in centimeters and V(x) is in cubic centimeters

The new function for the volume of the refrigerator is stated to be in cubic millimeters

Using the above as a guide, we have the following:

1 cubic centimeters = 1000 cubic millimeters

So, we have

V(x) = (x)(x + 1)(x – 2)

1 cubic centimeters = 1000 cubic millimeters

Cross multiply

V(x) * 1000 = 1* (x)(x + 1)(x – 2)

Divide both sides by 1000

V(x) = (x)(x + 1)(x – 2)/1000

Hence, the function is V(x) = (x)(x + 1)(x – 2)/1000

Read more about function at

https://brainly.com/question/28277110

#SPJ1

Answer:

7 times a number increased by 4 times the number

Let a number and the number be an arbitrary variable. Let's call it x. We have an algebraic expression. Let's take it in pieces:

7 times a number: 7x

4 times the number: 4x

The phrase increased by means we add 4x to 7x:

7x + 4x

Simplifying, we get: (7 + 4)x

11x

Step-by-step explanation:

Answer:

A. 4

Step-by-step explanation:

4 is a positive number which is larger to 3 and bigger than negative numbers.

Answer:

Step-by-step explanation:

i\        

i  \

i   \

i    /

i  /

Answer:

There could be 12 red pens and 21 black pens

Step-by-step explanation:

a) The degree of the polynomial is 5.

b) The second difference is -726        -126        -6        114         714

c) The difference when they are constant is 480.

What is a polynomial?

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.

y values:      -999           -140          -7          0           1         116          945

1st difference        859           133          7           1          115         829

2nd difference               -726        -126        -6        114         714

3rd difference                           600      120      120       600

4th difference                                  -480      0         480

5th difference                                           480     480

The degree of a polynomial is the number of difference where it is constant.

The degree of the polynomial function is 5.

The constant is the 5th difference which is 480.

To learn more about polynomial click on the below link:

https://brainly.com/question/7807270

#SPJ1

Answer:

In geometry, a polygon can be defined as a flat or

plane, two-dimensional closed shape bounded with

straight sides. It does not have curved sides. The

sides of a polygon are also called its edges. The

points where two sides meet are the vertices (or

corners) of a polygon

1. polygon with four sides is called a Quadrilateral

2. polygon with six sides is called hexagon

3. polygon with five sides is called pentagon

Hope this helps?

On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is 500

obtained is 400

so, percentage - 400/500 X 100 = 80%

To know more about percentage visit:

brainly.com/question/29306119

#SPJ1

Answer:

Step-by-step explanation:

C.) 15 upgraded phones

Tee welding joints are formed when two members intersect at a 90-degree angle that makes the edges come together in the center of a plate or component

The function's general shape is a downward-opening parabola.

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

f(x)=-x^4+8x^3+8x^2-96x-144

Express properly

So, we have

f(x) = -x⁴ + 8x³ +8x² - 96x - 144

Next, we plot the graph (see attachment)

From the attached graph, we can see that the function opens down

This means that the general shape is a downward-opening parabola.

The function faces down (as shown on the graph)

Here, we set x = 0

So, we have

f(0) = -(0)⁴ + 8(0)³ + 8(0)² - 96(0) - 144

Evaluate

f(0) = -144

So, the y-intercept is -144

We start by setting the factor to 0

So, we have

x - 6 = 0

Solve for x

x = 6

From the graph;

When x = 6, y = 0

This means that x - 6 is a factor

Read more about polynomial at

https://brainly.com/question/4142886

#SPJ1