What is the lowest common multiple of 105 and 170

The diagram represent the process of photosynthesis. Using the diagram he can answer the question of (b) What are the inputs and outputs in the process of photosynthesis.

Plants and other living things employ a process called photosynthesis to transform light energy into chemical energy that can then be released through cellular respiration to power the organism's activities. The process of creating sugars and starches from carbon dioxide and water also known as photosynthesis stores some of this chemical energy in these molecules.

The majority of the energy required for life on Earth is produced and maintained by photosynthesis, which is also substantially responsible for producing and maintaining the oxygen content of the atmosphere.

In this diagram, arrow represent the direction of elements of process.

SO that, Using the diagram he can answer the question of (b) What are the inputs and outputs in the process of photosynthesis.

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This question is related to biology.

Standard form is a convenient approach to effortlessly record extremely big or extremely small values.

Ax + By= C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x + 3y = 5. Finding both intercepts of an equation in this format is rather simple (x and y). When resolving systems of two linear equations, this form is also incredibly helpful.

Here,

Standard form is a convenient approach to effortlessly record extremely big or extremely small values. Ax + By = C is the formula for a linear equation. You must place the x and y on the same side of the equal sign and the constant on the other side in order to convert an equation in slope-intercept form (y=mx+b) to standard form. Terms can be moved using inverse procedures.

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The complete question is "What is standard Form and how to write the equation in standard from ?"

The measure of the angles p  for the given set of angles of triangle is found as: p = 60°.

Supplementary  of  110° = 180° - 110°

Supplementary  of  110° = 70°

Similarly,

Supplementary  of  130° = 180° - 130°

Supplementary  of  130° = 50°

Using angle sum property of triangles:

70° +  50° + p = 180

p =  180 - 120

p = 60°

Thus, the measure of the angles p  for the given set of angles of the triangle is found as: p = 60°.

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Answer:

a) The slope of the line that represents the relationship between height and weight is 0.2 (lbs/in).

b) The point-slope form of the line is: y - 200 = 0.2 (x - 80).

c) The slope intercept form of the line is: y = 0.2x + 40. The graph of this line with the two points can be seen below:

d) The y-intercept of this linear relationship is 40. This means that if a person's height is 0 inches, their ideal weight should be 40 pounds. This makes sense as it is not possible to have a negative height.

e) No, the fitness center would not tell the customer in part e that their weight is ideal, as the linear model suggests that their ideal weight should be 200 pounds, which is lower than the 250 pounds they weigh.

f) The fitness center would recommend that the customer in part e should aim to weigh 200 pounds.

Answer:

Area of Triangle is 225 cm^2

Step-by-step explanation:

Let height of triangle be h

Let the base of triangle be b

It is given that the sum of base and height is 45

b + h = 45  ---------(1)

It is also given that the height is twice of base

2b = h ---------------(2)

by substituting (2) in (1)

b + 2b = 45

3b = 45

b = 15 cm

15 + h = 45

h = 30 cm

Area of triangle is given as

1/2 x b x h

= 1/2 x 15 x 30

= 225 cm^2

The angle of the other side of the angle that forms a straight line equals 225°.

In this problem we find the case of an angle that generates a straight line. Angles are geometric constructions formed by two semirrays with a common origin.

Straight angles are angles whose measure equals 180° and it may represent a straight line. Then, if one side has a measure of θ degrees, then the measure of the other side is equal to θ + 180°.

If we know that θ = 45°, then the measure of the other side is:

θ' = 45° + 180°

θ' = 225°

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Answer:

The price per pound is $6.00

Step-by-step explanation:

[tex]\frac{5}{\frac{5}{6} }[/tex]  Means the same as

[tex]\frac{5}{1}[/tex] x [tex]\frac{6}{5}[/tex] = 6

The price per pound is $6.00

Answer:

The five consecutive odd integers are 11 , 13, 15, 17, and 19. The sum of the three least integers (11+13+15) is 39, and the sum of the two greatest (17+19) is 36.

The value of x at which the minimum value of y occurs in [0, 1] is B) 1/8

Given y = 3x^(4/3) - 2x

We are asked to determine the value of x at which the minimum value of y occurs in [0, 1].

                                    Now, dy/dx = 0

                                     4x^(1/3) - 2 = 0

                                             x^(1/3) = 1/2

                                                     x = 1/8

Here, dy/dx = 0 when x = 1/8

So calculating y at x = 0, 1/8, 1

y(x = 0) = 0

y(x = 1/8) =3 (1/8)^(4/3) - 2/8 =  -1/16

y(x = 1) = 1

Hence, y has a minimum value of -1/16 at x = 1/8

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Answer:

B) 11.42

Step-by-step explanation:

Using the Law of Cosines:

[tex]c=\sqrt{a^2+b^2-2ab \cos C}=\sqrt{9^2+12^2-2(9)(12)\cos 64^{\circ}} \approx 11.42[/tex]

The length of FG is sqrt(84) and the radius of the circle is sqrt(21).

Let's call the radius of the circle "r".

The area of the shaded sector can be expressed as a fraction of the total area of the circle:

Area of sector = (m∠ GFH / 360°) * πr^2

Since the area of the shaded sector is given as 14π, we can write:

(m∠ GFH / 360°) * πr^2 = 14π

Solving for r:

r^2 = 14 / (m∠ GFH / 360°)

r = sqrt(14 / (m∠ GFH / 360°))

Plugging in m∠ GFH = 140°:

r = sqrt(14 / (140 / 360°))

r = sqrt(14 / (2 / 3))

r = sqrt(21)

Finally, the length of FG can be found by multiplying the radius by 2:

FG = 2 * r = 2 * sqrt(21) = sqrt(84).

So, the length of FG is sqrt(84) and the radius of the circle is sqrt(21).

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Complete question.

In circle F, m∠ GFH=140°

and the area of the shaded sector = 14π. Find the length of FG

FG finds the radius of the sector area

The value of Trigonometric function is

sin Q = 5/13

cos Q = 12/13

tan Q = 5/12

sin S = 12/13

cos S = 5/13

tan S = 12/5

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

RS = 5

RQ = 12

QS = 13

Using Trigonometry

sin Q = P/H

         = 5/13

and, cos Q = B/H

         = 12/13

and, tan Q = P/B

                  = 5/12

and, sin S = P/H

                 = 12/13

and, cos S = B/H

                  = 5/13

and, tan S = P/B = 12/5

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The piecewise function is defined as follows:

A piecewise function is a function that has different definitions, according to the input values assumed by the function.

The different definitions for the function in this problem are given as follows:

To the left of x = -2, the function is increasing with a slope 1, hence it would cross the y-axis at y = 1, and the definition is given as follows:

y = x + 1, x < -2.

At x = 2 and between x = 02 and x = 1, the function is constant.

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Hello!

To solve the first problem:

Radii are lines that go from the center of a circle to the edge. There are three of these lines in this circle.

The radii for this circle are lines AD, AC, and AD.

The correct answer choice is answer choice C.

To solve the second problem:

We have two congruent triangles. This means that their sides and angles are identical. We need to find the angles that are equal to that of angles A and C in triangle one.

These would be angles D and F.

The correct answer choice is answer choice A.

Hope this helps!

Answer:

13

Step-by-step explanation:

The number of the marbles each of them have are 12.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Janae and Jerome each have m marbles. Gwen has 4(m + 2) marbles. John has 8m + 4 marbles.

The number of marbles will be calculated as:-

4(m + 2) = 8m + 4

4m + 8 = 8m + 4

4m = 4

m = 1

Gwen = 4(m + 2) = 4 ( 1 + 2 ) = 12

John  = 8m + 4 = 8 +  4 = 12

Hence, the number of the marbles each of them have are 12.

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A number line starting from 0 and directed to +30 represents  how long it took Courtney to run 3.1 miles

Given is that Alan ran 3.1 miles in 35 minutes and Courtney ran 3.1 miles 5 minutes faster than Alan.

It is given that Courtney ran 3.1 miles 5 minutes faster than Alan. This means that he runs 3.1 miles in (35 - 5) or 30 minutes.

Therefore, a number line starting from 0 and directed to +30 represents  how long it took Courtney to run 3.1 miles.

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For the function  h (a) = In(t sint + 5)dt the decreasing interval is 14.322

The function h is a mathematical expression that relates a variable "a" to the result of an integral of another function.

In this specific case, the integral is calculated for the function "t sin t + 5" with respect to "t" from 1 to "a".

We can use differentiation to find the critical points of "t sin t + 5" and determine if it is increasing or decreasing over the interval.

We find that the function has a critical point at t = π/2, where it changes from increasing to decreasing. This means that the function h is decreasing over the interval (π/2, 7).

However, for values of "a" less than π/2, the function being integrated is increasing, meaning the function h is also increasing for those values of "a".

Therefore, option (c) is correct.

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Answer:

  (c)  6x − y < −3

Step-by-step explanation:

You want to know which inequality has shading above the dashed line through (0, 3) and (1, 9).

The first given point is the y-intercept of the boundary line: 3. The two points together can be used to find the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (9 -3)/(1 -0) = 6

This means the slope-intercept equation of the line is ...

  y = mx +b

  y = 6x +3

Rearranging to standard form, this is ...

  6x -y = -3

The fact that the boundary line is dashed means the inequality symbol will not include the "equal to" case. It will be one of < or >.

The shading above the line with positive slope is the same as shading to the left of that line. That is, x-values in the solution set will be less than x-values on the line. The inequality will be ...

  6x -y < -3

__

Additional comment

You can determine line type and shading by looking at the inequality symbol and a variable with a positive coefficient. In the above inequality, x has a positive coefficient, so that is the one we considered when looking at shading. X-values less than those on the line means the relation shown in the inequality will be ...

  x <

Shading above the line would look like ...

  y >

In our equation for the boundary line, the coefficient of y is negative. Multiplying this inequality by -1 would give ...

  -y <

Hence the inequality 3x -y < -3 is consistent with a dashed line having shading above and to the left.

If the symbols are < or >, the line is dashed. If they are ≤ or ≥, the line is solid.

Answer:

y-12=-32

Step-by-step explanation:

no explanation needed

The graph of a proportional relationship is simply a straight line that passes through the origin

Proportional relationships are used to relate variables that have equivalent ratios.

Using tables

Assume the variables are x and y.

To make use of tables, then the values of x and y must change at a constant rate.

Take for instance, the following table of values

x: 1, 2, 3

y: 2, 4, 6

Notice that, as x increases by 1; y increases by 2.

Such relationship is a proportional relationship

Using equations

A proportional relationship is represented by the following equation

Where k represents the proportionality constant, and k is not equal to 0

An example of such equation is

Using graphs

The graph of a proportional relationship is simply a straight line that passes through the origin, and does not have an undefined slope or a slope of 0

Therefore, The graph of a proportional relationship is simply a straight line that passes through the origin

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in 1998, the university of Wisconsin collected data on means of transportation to work. in 2008, Betsy (a university of Minnesota student) used the data for her own project. betsy is using Secondary analysis collection method.

Secondary data is information gathered by someone other than the original user. It signifies that the data is already accessible and has been analyzed. Magazines, newspapers, books, and journals are examples of secondary data. It might be published or unpublished data.

Secondary analysis is the use of existing data acquired for the purposes of a previous study to pursue a research interest that is unique from the original work; this might be a new research topic or an alternate viewpoint on the original subject.

Secondary research methods commonly used include data acquisition via the internet, libraries, archives, schools, and organizational reports.

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Answer:

You will have to pay 1/4 * $378.56 = $94.64 of the cost for the electric guitar on eBay

Answer: $94.64

Step-by-step explanation:

378.56 x 0.75 = 283.92

378.56 - 283.92 = $94.64

On simplifying the equations and using mathematical operations, 203 $1 bags were sold,

Mathematical operations can be made more simpler by using the right order of operations. Exponents, terms in parentheses, multiplying, division, addition, and ultimately subtraction are the right order of operations. You can use the acronym PEMDAS to help you remember this.

Pricing times units sold equals revenue, thus if N is the total amount of $3 bags sold, then 307 - N must represent the amount of $1 bags sold (total sales)

3(N) + 1(307-N) = 515 simplify

3N + 307 - N = 515

2N + 307 = 515 Take 307 off both sides.

Divide both sides by 2 if 2N = 208.

The overall amount of $3 bags sold is N = 104.

203 $1 bags were sold, which is 307 - 104.

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Probability of obtaining at least 4 defectives in sample of 10 parts calculated 1 - [P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)].

What is probability ?

Probability is a measure of the likelihood of an event occurring. It is typically expressed as a decimal or fraction between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain.

Let's denote the number of defectives as X and the total number of parts as n = 10. The probability of obtaining k defectives in a sample of 10 parts can be calculated as:

P(X = k) = (10 choose k) * p^k * (1 - p)^(10 - k)

where (10 choose k) is the binomial coefficient, which can be calculated as 10! / (k! * (10 - k)!).

To find the probability of obtaining at least four defectives, we sum the probabilities of obtaining 4, 5, 6, 7, 8, 9, and 10 defectives:

P(X >= 4) = 1 - P(X < 4)

Probability of obtaining at least 4 defectives in sample of 10 parts calculated 1 - [P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)].

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The Function Header includes the name of the function .

it tells us  what type of data it expects to receive and the type of data it will return to the calling function or program.

The body of the function contains the instructions to be executed.

Three parts of function header,

1- return type

2- function name

3- argument list

The function's name is included in the header, which also provides information about the parameters and the type of data the function will return to the caller function or application. The instructions that must be followed are contained in the function's body.

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The complete question is :-

what is the function header and its parts?

The Fourier transform of x(t) = 2sin(2πf0t)cos(2πf0t) is π/2)δ(f - f0) + (π/2)δ(f + f0).

A Fourier transform (FT) is a mathematical operation that separates functions into frequency components. The output of the transform is shown as a function of frequency. The most frequent transformations include functions of time or space, and the function that results depends on the frequency of the input variable (either time or space). Analysis is the name given to the process.

The Fourier transform of x(t) = 2sin(2πf0t)cos(2πf0t) is,

                                     X(f) = (π/2)δ(f - f0) + (π/2)δ(f + f0),

where δ is the Dirac delta function.

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The value of the expression evaluated for x = 12 which is -26

How to simplify equations?

(5/6)( (1/2)(12) + 6) - 3(12) =

(5/6)( 6 + 6) - 3(12) =

(5/6)(12) - 3(12) =

(5/6)(12/1) - 3(12) =

60/6 - 3(12) =

10 - 36

-26

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Full question:

consider the expression 5/6(1/2x+6)-3x if x =12

According to the problem the algebra tile shape is 13.

Algebra is a branch of mathematics that uses symbols to represent numbers and operations. It helps us to solve problems by using equations and formulas. Algebra is used in many fields, including science and engineering. It is used to solve equations, simplify expressions, and graph functions. Algebraic equations can be used to describe and analyze relationships among different variables. Algebra is also used in applications such as financial planning, engineering, and computer programming. Algebraic equations can be used to solve real-world problems, such as calculating the area of a triangle or finding the maximum profit in a business.

The algebra tile shape at right can be represented as follows:

(x + 1)(x + 2)

The perimeter of the shape can be calculated by adding up the lengths of the four sides. The expression for perimeter is therefore:

Perimeter = 2x + 3

For x = 5, the perimeter is:

Perimeter = 2(5) + 3 = 13

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