I need help with this asap! It’s my homework and I don’t understand it at all, please I need it soon

Based on the information provided in the chart, the scale factor of the model to the real sculpture is 1/6 (one-sixth).

This is a ratio or proportion used to create a model from an original figure. This can be used to make a smaller or bigger model.

While the sculpture measures 42x35x49, the model measures 6x5x7. This means the model is seven times smaller than the original sculpture. For example length - 42/7 = 6. Based on this the scale factor is 1/6.

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F(3) : -8

To determine x when F(x) = -9 is x = 4

What is the Function?

A function is a relationship or expression involving one or more variables.  It has a set of inputs and outputs.  Each input has only one output.  The function is the description of how the inputs relate to the output.

        So, -x = -4

        x = 4

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Answer:

8 plates: $26

25 plates: 51.50

Step-by-step explanation:

8 plates:

2(8)+10=$26

25 plates:

25(1.50)+14=$51.50

On solving the provided question, we can say that by expression he amount of water in the solution is 80 millimeters

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted

The amount of water in millimeters present in the solution is 80 millimeters

Let's assume that, amount of alcohol in solution = a :

Amount of water in solution = 4a

The expression for the amount of water and alcohol and the total volume of the solution can be expressed thus :

[tex]a + 4a = 100\\5a = 100\\5a/5 = 100/5\\a = 20[/tex]

The amount of water in the solution = 4a

Amount of water = 4(20) = 80

Therefore, the amount of water in the solution is 80 millimeters

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An expression which can be used to determine the total cost of the project if the project is not completed by the due date is: D) x - 0.15x.

In Mathematics, a mathematical expression is sometimes referred to as an equation and it can be defined as a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).

Since the cost of the streetcar project is x dollars and the cost of the project is reduced by 15% if the project is not completed by the due date, a mathematical expression which can be used to determine the total cost of the project;

Total cost = x - 15% of x

Total cost = x - (15/100 × x)

Total cost = x - (0.15 × x)

Total cost = x - 0.15x

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The discontinuity of the function is when x = -7 and the zero of the function is when x = 3.

f(x) = (x^2 + 4x - 21)/(x + 7)

Discontinuity:

When the denominator = 0, x = -7.

Zero:

When the entire equation = 0,

x^2 + 4x - 21 = 0

x = (-4 ± √(16 + 84))/2

x = (-4 ± 10)/2

x = -7 or x = 3

The function f(x) = (x^2 + 4x - 21)/(x + 7) has a discontinuity when x = -7 and a zero when x = 3. To find the discontinuity, we set the denominator equal to zero, which gives us x = -7. To find the zero, we set the entire equation equal to zero and solve for x. This gives us the quadratic equation x^2 + 4x - 21 = 0. Then, using the quadratic formula, we find that the solutions for x are x = -7 and x = 3.

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So, the factor of 4x² 3x 7 is (4x - 1)(x - 7).

To find the factors of an algebraic equation, we can use the method of factoring by grouping. This method involves grouping the first two terms and the last two terms, and then factoring out the greatest common factor (GCF) of each group.

In this case, we have 4x² 3x 7

We can group the first two terms, 4x² and 3x, and factored out the GCF of 4x and 3x, which is x.

Then we can group the last two terms, 3x and 7, and factored out the GCF of 3x and 7, which is 1.

So the factor of 4x² 3x 7 is (4x - 1)(x - 7).

It is the correct factorization of the given polynomial equation.

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The total surface area of the square pyramid is 300 in²

An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.

The surface area of a solid figure is gotten by adding all the individual surfaces area.

Given the square pyramid with base of 10 inches and the height of each lateral face of the pyramid is also 10 inches. Hence:

Area of pyramid base = 10 in * 10 in = 100 in²

The lateral face have 4 triangles faces, hence:

Area of each lateral face = 1/2 * base * height = 0.5 * 10 * 10 = 50 in²

Total area of lateral face = 4 * 50 in² = 200 in²

Total surface area = 200 in² + 100 in² = 300 in²

The surface area is 300 in²

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Check the picture below.

Answer:

-7y= 93x + 11y =4

Step-by-step explanation:

93x+11y+7y=4

Answer:

0.25x + 15

Step-by-step explanation:

Let x = number of months.

weight = initial weight + monthly increase

weight = 15 + 0.25x

Answer: 0.25x + 15

Now, the value of the terms in number line is

15) A = -3 + (-0.2) = -3.2

16) B = -4 + (-0.2*2) = -4.4

17) C =  1 + 0.2 = 1.2

18) D = -5 + (-0.2*4) = -5.8

19) E = 0 + 0.2*2 = 0.4

20) F = -2 + (-0.2*2) = -2.4

A number line is a depiction of a graded straight line that is used to represent real numbers visually. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present. The usage of the number is determined by the question that it corresponds to, such as when graphing a point.

In order to represent the numbers, a number line is a long, straight line with markers spaced equally apart. Create a number line with the numbers 0 through 10, and as they gain more knowledge, progressively raise the numbers.

In the number line there are 4 small vertical line between 2 consicutive numberts that defines they are divided in 5 parts

The value of each part is 1/5 = 0.2

Now, the value of

15) A = -3 + (-0.2) = -3.2

16) B = -4 + (-0.2*2) = -4.4

17) C =  1 + 0.2 = 1.2

18) D = -5 + (-0.2*4) = -5.8

19) E = 0 + 0.2*2 = 0.4

20) F = -2 + (-0.2*2) = -2.4

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1. Using Radicals the number √17 has a value of 4.123.

2. √510 =260100.

3. √4x = 2√x.

Simply multiply or divide the numbers at each point where it makes sense to multiply or divide a function. If the functions are specified by formulas, you can simply multiply or divide the formulas (inserting numbers before or after is irrelevant).

When multiplying or dividing, it is standard practise for the final result to contain the same number of significant figures as the number with the fewest significant figures. The division of two numbers can be calculated using the following formula: Dividend Divisor = Quotient + Remainder. The number that is being divided in this case is known as the dividend.

The number that divides the number (dividend) into equal parts is known as the divisor.

1. [tex]\sqrt{17}\\[/tex] = 4.123 (The values of the number √17 is 4.123.)

2.  √510

= 510^2

=(500+10)^2

=500^2+10^2+2×500×10

=250000+100+10000

=260100.

3. √4x = 2√x.

because 4 = 2*2

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In three-dimensional space, coordinates are often written in the format (x, y, z), where x, y, and z represent the positions along the x-axis, y-axis, and z-axis, respectively.

These coordinates can also be written as XYZ, where X, Y, and Z represent the position along the x-axis, y-axis, and z-axis, respectively.

For example, the point (3, 4, 5) in three-dimensional space can also be written as the point XYZ = 3,4,5

It is important to note that the order of the coordinates, XYZ, is crucial when working with three-dimensional space. It is a common notation used in geometry, engineering, physics, and computer graphics.

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Answer:

19

Step-by-step explanation:

The rate of change of this simple index over 1 week as calculated from the data given in the question is found out to be as -  -8.81 %.

  Day one simple index value ,

= (8000 x $4.25) + (5000 x $2.90) + (2000 x $6.40)

= $61,300

Value at day 8 = (8000 x $3.90) + (5000 x $2.50)+(2000*6.10)  

= 55900

therefore, the rate of change of this simple index over 1 week

= (55900-61300)/ 61300 x 100 %

= -8.81 %

Simple index numbers are the numbers which gives equal importance to all items no matter what share it has. We can say that , it takes into consideration each item to be equal with respect to the given variable. Consequently, it is a simple average and is less accurate when compared to the other class of index numbers.

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If the machinist makes 500 of these parts, the cost of the steel is 1170 dirham ( rounds to the nearest dirham).

We have, A machinist creates a solid steel part for a wind turbine engine. Let us consider volume, mass and density of steel part be "V", "M", "D" respectively.

Density of a material is defined as mass of material per unit volume of material,

D = M/V .

Volume of steel part, V = 1015 cm³

The cost of steel part = 29 fils per kg

Density of steel part, D = 7. 95 g/cm³

Number of steel part used by machinist

= 500

So, Denssity = Mass of steel part/ Volume of steel part

=> 7. 95 g/cm³ = M/1015 cm³

=> M = 7.95× 1015 g

=> M = 8,069.25 g

Now, Convert the mass of steel part from grams to kilograms using conversion units.

Mass of steel part, M = 8,069.25/1000 g

=> M = 8.07 kg

So, cost of one steel part = 29 fils/kg × 8.07 kg = 234.008 ~ 234 fils

If the machinist makes 500 of these parts, the cost of the steel = 500× 234

= 117,000 fils.

But we wants the cost of steel in dirham so we have to convert the fils units into dirham units,

One dirham is divided into 100 fils.

So, 117,000 fils = 117,000/100 dirham

= 1170 dirham.

Thus, required cost of steel is 1170 dirham.

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The value of x, given that the area of the square is 121 meters, is 4.

A square is a four-sided polygon with all sides of equal length and all angles equal to 90 degrees. It is a special case of a rectangle in which the length and width are equal.

The area of a square is the amount of space inside its boundary and it is calculated by multiplying the length of one side of the square by itself. The formula for the area of a square is A = s^2, where s is the length of one side of the square.

If the area of the square is 121 meters, then its side length is 11 meters.

A = s^2

121 meters = s^2

s = 11 meters

If the side length is a square can be expressed as 2x + 3, then the value of x is 4.

s = 11 meters = 2x + 3

11 = 2x + 3

2x = 11 - 3

2x = 8

x = 4

Hence, the value of x is 4.

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The outcome that makes up the event a that the sum of the three faces showing equal 5 is; P(E) = 1/36

There are three dice, thus.

Set the Red die to R.

Set the Blue die to B.

Green Dice should be G.

Now, none of the six potential numbers can be bigger than 3 in order for the sum of the three numbers on all dice to equal 5.

So, P(R) = 3/6.

Now, if P(R) = 3/6, none of the other 2 dice can produce 3 or more because doing so would cause the sum to exceed the necessary 5.

So, P(B) = 2/6.

Now that P(R) and P(B) have been obtained, P(Y) must be 1/6.

As a result, P(E) = 3/6 2/6 1/6 is the result that constitutes the event that the sum of the three faces shown equals 5.

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Answer: x= 5

Step-by-step explanation: Refer to the image, all the explanations included

x² is a polynomial function of degree 2.

A polynomial function is a function that can be written in the form f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_2x^2 + a_1x + a_0 where n is a non-negative integer and a_n, a_{n-1},...,a_2,a_1,a_0 are real numbers. The term x^n is called the leading term, and the degree of a polynomial function is defined as the degree of its leading term, in this case x² is the leading term and the degree of the function is 2.

A polynomial function of degree 2 is also called a quadratic function. It can be represented in the standard form as f(x) = ax² + bx + c, where a, b, and c are real numbers and a is not equal to 0.

Quadratic functions have a specific shape of parabola, with the vertex being the point that is the lowest or highest point of the parabola depending on the sign of the leading term.

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The gap is approximately 259,854.9 inches wide.From the Given Scenario,We can decide that the value to find is the Circumference of the  Band around the Earth .

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the centre of a circle equals the diameter of that circle. It is typically expressed in units like cm or unit m.

The radius of the circle is considered when applying the formula to determine the circumference of the circle. Therefore, in order to calculate the circle's perimeter, we must know the diameter or radius of the circle.

Given,

The length of the steel band is =25,000 mile

When the steel band was cut and spliced

The new circular band has a circumference of 25,036 inches.

The circumference of a circle is given by the formula C = 2πr,

where C is the circumference and r is the radius of the circle.

As we know The Earth's equator has a circumference is about 24,901 miles.

The steel band's circumference was expanded by 36 inches when it was cut and joined. Since the diameter and circumference are inversely proportional, the new band has a larger diameter than the old band.

To find the increase in diameter:

25,036 inches / 2π = 3957.1 inches

24,901 miles * 12 inches/mile = 298,812 inches

The gap is the difference between the two diameters:

298,812 inches - 3957.1 inches = 259,854.9 inches

Hence, The gap is approximately 259,854.9 inches wide.

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If the point R has the coordinates (-12, 4) and point M has coordinates (1,-2)  then the coordinates of point S are (14 , -8) .

The midpoint (x,y) of the line segment having the endpoints as (a,b) and (c,d) can be calculated by using the formula :

(x,y) = [tex](\frac{a+c}{2} ,\frac{b+d}{2} )[/tex] ;

The end points of the line segment RS are R (-12, 4) and S(x,y) ,

the point M is the mid point and the coordinate is M (1, -2) .

So , the coordinate of point S are represented as :

(1,-2) = [tex](\frac{-12+x}{2},\frac{4+y}{2} )[/tex];

Simplifying both the equations ,

we get ;

2 = -12 + x       and     -4 = 4 + y  

x = 12 + 2      and      y = -4 - 4

x = 14       and      y = -8   .

Therefore , the coordinate of S is (14,-8) .

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Answer:

793550

Step-by-step explanation:

Rounding to the nearest ten means we look at the ones digit, 8

Since it is 5 or higher the tens digit moves 1 up from 4 to 5

The ones digit becomes a 0

793548 round to 793550

The proportion of the area under the curve that lies to the right of t = 2.015 in a t-distribution with 5 degrees of freedom can be calculated using the t-distribution function in a statistical software package such as R.

The answer is approximately 0.9522. This means that 95.22% of the area under the curve lies to the right of t = 2.015. This indicates that the probability of observing a value of t greater than 2.015 is quite high.

This is because the t-distribution with 5 degrees of freedom has a larger spread than the normal distribution, which means that the probability of observing values further from the mean is greater.

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The third variable is the type of hiking boots the hiker wears. Option C

We know that when we talk about a positive correlation, what we are saying is that the the increase in none of the variables does affect the other variable and causes it to increase also or vice versa.

In this case, we have been told that An outdoor reporter finds a positive correlation between the number of granola bars a hiker eats on a trip and the number of bug bites the hiker receives.

Hence, the third variable must be the type of hiking boots the hiker wears.

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Answer: 5

Step-by-step explanation:

-3=2-y

add y to both sides

-3+y=2

add 3 to both sides

y=5

In order to answer research questions and evaluate theories of change, measuring aims to obtain accurate data.

Utilizing the various advantages that working with numbers and applying mathematical principles offer is what is meant by measurement, which is the process of describing facts in terms of numbers. Analysis of the aforementioned definitions reveals that measuring is the process of quantifying a phenomenon.

Data where the values are the results of measurement, hence they could be any value within a range of integers. In order to answer research questions and evaluate theories of change, measuring aims to obtain accurate data.

It's simple to remember the distinction between the two kinds of quantitative data: information is categorized as discrete if it can be counted and as continuous if it can be measured.

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Linear and exponential relationships differ in the way the y-values change when the x-values increase by a constant amount

Linear growth occurs when the same quantity is added in each unit of time. When an initial population grows by the same proportion or factor across equal time increments or generations, this is referred to as exponential growth.

The formula f(x) = ax defines an exponential function, where x represents the input variable as an exponent. The exponential curve is determined by the exponential function and the value of x. The exponential function is a significant mathematical function of the type. F(x) = ax. When a line has a positive slope (m > 0), y always grows when x increases and always lowers when x decreases.

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The length of the unknown side BC which is similar to QR as per similarity of triangle is 54 units.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

If the respective sides of two triangles have the same ratio and the corresponding angles are equal, then the triangles are comparable (or proportion). Triangles that are similar will have the same form but may not be the exact same size.

let the lenght of the unknown side BC be x

Since the ratio of sides are equal we can write :

x/6 = 27/3

⇒x = 9 * 6 = 54

The length of the unknown side BC which is similar to QR as per similarity of triangle is 54 units.

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