Sunnyvale School is having their

annual lobster race. A team

consists of five lobsters. The

team score is the average of the five finishing place positions. His sister sally’s team has consistently finished behind his team, however, an unusual pattern has been noticed. For example, Sally’s first lobster finished right behind Peter’s first lobster. Her second lobster finished 2 places behind peter’s second lobster. Her third lobster finished 3 places behind peter’s third, her fourth was 4 places behind his fourth and her fifth was 5 places behind his fifth.

What is Sally's team score?

A trapezoid will appear smaller than the original trapezoid if it is dilated with a scale factor between 0 and 1.

An open, flat shape with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel.

What three characteristics do trapezoids have? An isosceles trapezoid has equal base angles and diagonals. The midpoints of the two opposing sides are parallel to the point where the diagonals intersect. An isosceles trapezoid has opposite sides that are congruent to one another or have the same length.

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The rectangular prism's volume is equal to [tex]$V=9.375 \mathrm{~m}^3$[/tex]. Prism volume (V) is equal to B ×h, where h is the prism's height and B is the area of the base.

1.25 metres in length, 2.5 metres in width, 3 metres in height, and a diagonal length of 4.10030487 metres make up the total surface area. [tex]$\mathrm{S}_{\text {tot }}[/tex]=[tex]28.75 \mathrm{~m}^2$[/tex] , Latitudinally exposed area [tex]$S_{\text {lat }}=22.5 \mathrm{~m}^2$[/tex] , maximum surface area is [tex]$S_{\text {top }}=3.125 \mathrm{~m}^2$[/tex] , surface area of the ground is [tex]$S_{\text {bot }}=3.125 \mathrm{~m}^2$[/tex] so that the volume is [tex]$V=9.375 \mathrm{~m}^3$[/tex]

When determining the volume of a rectangular prism , we multiply its length, width, and height. The base's area multiplied by the height gives the rectangular prism its volume. Length, width, and height are the cubic units that make up a rectangular prism's volume. Any rectangular solid's volume, V, is equal to the sum of its dimensions, height, width, and depth. In terms of the area of the base, we might alternatively express the formula for a rectangular solid's volume. Size times width equals the base's area, B.

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Answer:

Step-by-step explanation:

Derivation of composite functions concept.

h'(x)=g'(f(x))·f'(x)=(sin(5x))'×(5x)'=cos(5x)×5=5cos(5x)

The area for 2 pounds of fertilizer is 400 square feet

How to determine the amount of fertilizer for 2 pounds?

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

seven pounds of fertilizer can cover 1400 square feet

This means that

7 pounds of fertilizer = 1400 square feet

Divide both sides of the equation by 7

So, we have the following representation

1 pounds of fertilizer = 200 square feet

Multiply both sides of the equation by 2

So, we have the following representation

2 pounds of fertilizer = 400 square feet

Hence, the area is 400 square feet

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Answer:

16.62 cm²

Step-by-step explanation:

A = πr² is the appropriate equation here.

If r = 2.3 cm, then A = π(2.3 cm)² = 16.62 cm²

Answer:

I think 6.15in is the answer (hope u get it right)

Step-by-step explanation:

Answer:

tan

Step-by-step explanation:

its the opposite over adjacent

Answer:

tan

Step-by-step explanation:

sinx=Opposite/adjacent

Tanx=8.78/12

a) An equation to find the percent P of recorded music sold as full-length cassettes for any year x between 2001 and 2006 : y = -0.5x + 3.4

b) The percent of recorded music sold as full-length cassettes in 2004 = 1.9%

As, between 2001 and 2006, the percent of recorded music sold was decreased by about 0. 5% per year.

This means, the slope m = -0.5

In 2001, full-length cassettes represented 3. 4% of total music sales.

This means the y-intercept would be c = 3.4

So, an equation to find the percent P of recorded music sold as full-length cassettes for any year x between 2001 and 2006 would be,

y = mx + c

Substituting value of m and c,

y = -0.5x + 3.4

Now  to find the percent of recorded music sold as full-length cassettes in 2004

Here, the number of years x would be

x = 2004 - 2001

x = 3

So, the percent of recorded music sold would be,

y = (-0.5 × 3) + 3.4

y = 1.9%

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Answer:

C. domain: {x ≤ 2}; range: {–∞ < y < ∞}

that's the right answer pramis:)

The student is partially correct as -5 is less than -4 but ln |-5| is not less than ln |-4|.

What is reasoning?

We can ascertain the veracity of the supplied propositions using mathematical reasoning, often known as the mathematical reasoning principle.

A student said that -5 is less than -4.

This statement is correct and the reasoning is -

According to the number line, 0 is the midpoint.

From 0 to the right side of infinity the digits increases.

So, 1 is bigger than 0, 2 is bigger than 1, 3 is bigger than 2, and so on.

Similarly, from 0 to the left side of negative infinity the digits decreases.

So, -1 is smaller than 0, -2 is smaller than -1, -3 is smaller than -2, and so on.

The student also said that ln |-5| is less than ln |-4|.

This statement is false and the reasoning is -

First simplify ln |-5| and ln |-4| -

ln |-5| = ln (5)

ln (5) = 1.6094

ln |-4| = ln (4)

ln (4) = ln (2^2)

ln (2^2) = 2 ln (2)

2 ln (2) = 1.3862

Therefore, the student is partially correct.

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On solving the provided, we can say that - here in graphs by solving the equation - [tex]x^2 + y^2 = > 2^2 = > 4[/tex]

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

here from graph,

x= 0

and y = 2

so, in equation

[tex]x^2 + y^2 \\2^2\\4\\[/tex]

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a) Bearing from A to B is 253°.

b) Bearing from B to A is 287°.

What is a bearing?

A bearing is an angle measured clockwise from north in mathematics. Typically, bearings are expressed as a three-figure bearing.

a)

The bearing of 73° and the co-interior angle formed must total 180°. The counter-clockwise angle from B to A is 107°.

However a bearing must always be measured clockwise from north. 107° is counter-clockwise from north.

The clockwise angle on the other side is needed. Use the angle fact that angles in a full turn add to 360°.

To work the bearing, subtract 107° from 360°.

360° – 107° = 253° and so, the bearing of A from B is 253°.

b)

The bearing of 107° and the co-interior angle formed must total 180°. The counter-clockwise angle from A to B is 73°.

However a bearing must always be measured clockwise from north. 73° is counter-clockwise from north.

The clockwise angle on the other side is needed. Use the angle fact that angles in a full turn add to 360°.

To work the bearing, subtract 73° from 360°.

360° – 73° = 287° and so, the bearing of B from A is 287°.

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Answer:

3 quarts and 1 pint

Step-by-step explanation:

2 pints equal 1 quart

The initial value of the function is equal to 5.

In order to determine the initial value of the function, we would have to find the slope from line graph and then write the required equation based on the data points contained in the table by using the slope-intercept form.

Mathematically, the slope-intercept form of a line is modeled by this mathematical equation:

y = mx + c

Where:

Next, we would determine the slope of the data points as follows;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (5 - 7)/(0 + 1)

Slope, m = -2/1

Slope, m = -2.

At point (0, 5), an equation of this line can be calculated in slope-intercept form as follows:

Note: The y-intercept or initial value is equal to 5.

y = mx + c

y = -2x + 5

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Answer:

6.472

Step-by-step explanation:

Answer:

x = 2 ± 2√5     Exact solution

x = {-2.472, 6.472}    Decimal approximation

Step-by-step explanation:

x² - 4x + 4 = 20

Subtract 4 from both sides

x² - 4x = 16

Complete the square using half the x coefficient, (-4/2 = -2),  as the complete the square term

(x - 2)² = (-2)² + 16

(x - 2)² = 20

Take the square root of both sides

x - 2 = ±√20

x - 2 = ±2√5

Add 2 to both sides

x = 2 ± 2√5     Exact solution

x = {-2.472, 6.472}    Decimal approximation

---------------------

Note this could also be solved using the quadratic formula

Answer: [tex]\sqrt{45}\\[/tex]

Step-by-step explanation:

Use Pythagorean Theorem-

a^2 + b^2= c^2

6^2 + 3^2 = c^2

36+9= c^2

c=[tex]\sqrt{45}\\[/tex]

Answer:

El polinomio ordenado de forma ascendente y con relación a [tex]x[/tex] es [tex]p(x,y) = y^{5}+6\cdot y^{4}\cdot x -7\cdot y^{3}\cdot x^{2}-y^{2}\cdot x^{3}+x^{4}\cdot y -5\cdot x^{5}[/tex].

Step-by-step explanation:

El polinomio está en términos de dos variables: [tex]x[/tex], [tex]y[/tex]. Puesto que necesitamos ordenar el polinomio con relación a

[tex]p(x, y) = \Sigma\limits_{i = 0}^{n} \,c_{i} (y)\cdot x^{i}[/tex] (1)

Where:

[tex]i[/tex] - Índice i-ésimo del polinomio asociado al polinomio i-ésimo.

[tex]c_{i}(y)[/tex] - Coeficiente i-ésimo en función de [tex]y[/tex].

[tex]x, y[/tex] - Variables independientes.

[tex]p(x,y)[/tex] - Variable dependiente.

[tex]n[/tex] - Grado del polinomio.

A partir de esto y comparando (1) con la expresión del enunciado, encontramos que el último está formado por seis monomios y tiene grado 5. Al aplicar las propiedades algebraicas correspondientes tenemos que:

[tex]p(x,y) = y^{5}+6\cdot y^{4}\cdot x -7\cdot y^{3}\cdot x^{2}-y^{2}\cdot x^{3}+x^{4}\cdot y -5\cdot x^{5}[/tex]

Answer:c

Step-by-step explanation:45x9.25=416.25. 50x3=150. 416.25+150=566.25

Answer:

According to arithmetic progression, natural numbers can be written down as 1, 2, 3, 4, 5, 6, 7, and 8 to 100. Basically, the sum of the first 100 natural numbers is equal to 5050.

Answer:

28451= 20000+8000+400+50+1

value of 8 =8000

Step-by-step explanation:

The general formula of a polynomial is:

P(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_2x^2 + a_1x + a_0

A polynomial is a mathematical expression consisting of variables (such as x), coefficients, and exponents. The general formula of a polynomial is P(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_2x^2 + a_1x + a_0. Here, a_n, a_(n-1), ... , a_2, a_1, and a_0 are coefficients, and n is the degree of the polynomial. The highest exponent in the polynomial is the degree of the polynomial. For example, in the polynomial 3x^2 + 5x – 8, x^2 is the highest exponent, so the degree of the polynomial is 2. The coefficient of the highest exponent is known as the leading coefficient. In the example above, 3 is the leading coefficient. Polynomials can be used to represent a variety of functions, from simple linear equations to complex curves.

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Answer: HHHHHMMM DEPENDING ON MY BRAIN IT IS 6

sorry if im wrong

Step-by-step explanation:

The answer is :6.5g

Answer:35° being the smallest interior angle of the triangle, the exterior angle attached to it is the largest. It measures 180° - 35° = 145°.p.

Step-by-step explanation:

Answer:

It means the area of the square is 17.

Step-by-step explanation:

To find the area of a square you must multiply the length by the width (A=LxW)

to find area of square you would have to multiply squareroot of 17 by squareroot of 17 (because all 4 sides of a square are equal to each other). That would equal squareroot of 289. When you simplify that further, the answer would be 17.

Answer:

14

Step-by-step explanation:

Hope this helps

The difference is quartiles 3 - quartiles 1 = 2.05 - 1.79 = 0.26

The first quartile (Q1) is the 25th percentile of a dataset, which separates the lowest 25% of the data from the rest. The third quartile (Q3) is the 75th percentile of a dataset, which separates the lowest 75% of the data from the highest 25%. To find the difference between Q1 and Q3, you would subtract Q1 from Q3.

In this specific dataset, you would need to sort the values first in increasing order:

1.61, 1.75, 1.79, 1.84, 1.96, 2.09, 2.11

The first quartile (Q1) is the median of the lowest half of the dataset, which is 1.79

The third quartile (Q3) is the median of the upper half of the dataset, which is 2.05

so the difference is Q3 - Q1 = 2.05 - 1.79 = 0.26

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Answer:hello

Step-by-step explanation:

Answer:

V = 180 [tex]ft^{2}[/tex]

Step-by-step explanation:

Answer: x=4

Step-by-step explanation: x+3=2x-1, then you do simple algebra