6. The total number of visitors who went to the theme park during one week can be modeled by
the function f(x)=6x3 + 13x² + 8x + 3 and the number of shows at the theme park can be
modeled by the equation f(x)=2x+3, where x is the number of days. Write an expression that
correctly describes the average number of visitors per show.

Considering supplementary angles, we have that the measures of x and y are given as follows:

We also have that x and y have different measures, hence the student is incorrect, and x and 40º are complementary.

Supplementary angles are angles whose measures add to 180º.

The three internal angles of a triangle are supplementary, hence we can find x as follows:

90 + 40 + x = 180

130 + x = 180

x = 50º.

Angles x, y and 50º are also supplementary, hence:

x + y + 50 = 180

50 + y + 50 = 180

y = 80º.

The angles with measures x and 40º are complementary, as they add to 90º.

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Answer:

sum up to 130 but not equal

Step-by-step explanation:

The impact angle's arcsin is equal to its length and width.

As the blood stain lengthens and its length to width ratio rises, the angle of impact becomes more oblique.The angle of impact in forensic science refers to the angle at which a blood droplet strikes a surface.

(Stain Width/Stain Length) arcsin = angle of impact

The width is equal to 0.5 times the length. The blood struck the surface at a 30-degree angle since the ArcSin of 0.5 is equal to 30. The impact angle in a bloodstain that is 0.04 by 0.16 inches (1 by 4 millimetres) is approximately 14.5 degrees.

It is, by definition, an acute (or right) angle, with a range of 0 to 90 degrees.

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Answer:

b; 1 real root and 2 imaginary roots

Step-by-step explanation:

From here, we have

x(x^2 + 121) = 0

x = 0 (1 real root)

or

x^2 + 121 = 0

x^2 = -121

x = √(-121) (2 imaginary roots)

so is would be two complex numbers from above

Answer:

Step-by-step explanation: Given that a civil servant own a car is 1/6.

A) The Pr. that each own a car = Pr of each multiplied by the other.

Pr = 1/6 ×1/6

P = 1/36

B) Pr that only one owns a car

= 1/6 × (1-1/6) + 1/6 × (1-1/6)

= 1/6 × 5/6 + 5/6 × 1/6

= 5/36 + 5/36

= 10/36

= 5/18

Answer:

16 + 9 = 25

Step-by-step explanation:

For each term in the sequence, we can see that the second number being added increases by 2 each time (3, 5, 7)

And that the first number of each term increases by the value of the second term

(1 increases by 3; 4 increases by 5)

we can follow out these two observations to find T4

the first term (9) will increase by the value of the second term (7)

{the sum of the previous term is the first number}

so the first number of T4 will be 16.

Because we left off on +7, we are now on +9

so, T4 is

16 + 9 {and then do the math accordingly}

16 + 9 = 25

So, T4 is

16 + 9 = 25

hope this helps!! have a lovely day!! :)

The absolute value function f(x) = |x – 2| takes a non-negative value for all real numbers x, and it returns 0 only when x = 2.

The graph of f(x) is symmetric about the vertical line x = 2 and has a vertical asymptote at x = 2.

We have,

The absolute value function f(x) = |x – 2| is a piecewise function that returns the positive distance between the input value x and the number 2.

Geometrically,

It represents the distance of a point on the number line from point 2.

On the coordinate plane,

The graph of the absolute value function is V-shaped, with its vertex at the point (2, 0).

The two arms of the V extend indefinitely in opposite directions, passing through the points (-∞, 2) and (2, +∞) on the positive and negative sides of the x-axis, respectively.

Thus,

The absolute value function f(x) = |x – 2| takes a non-negative value for all real numbers x, and it returns 0 only when x = 2.

The graph of f(x) is symmetric about the vertical line x = 2 and has a vertical asymptote at x = 2.

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A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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Answer:

\(y = -3x + 5\)

Step-by-step explanation:

We know we'll have to use the linear equation \(y=mx+b\)

Since \(m\) means gradient (or slope) we know that it's -3 since that's already indicated to us

All that we have to find now is b, and we can find this by plugging in the known values of x and y since we have the coordinate (2,-1)

We can plug these values in and solve for b

\(-1 = -3\cdot 2 + b\\-1 + 6 = b \\b = 5 \\\)

Therefore, in order to get the equation we just have to replace b with 5

\(y = -3x + 5\)

Good luck!

The graph represents the set of all solutions to the inequality -6x + y ≥ 3, which includes the line -6x + y = 3 and all points above the line.

Jenna created the graph below to represent the solution to the inequality -6x + y ≥ 3:Jenna has graphed a linear inequality, -6x + y ≥ 3, on a coordinate plane. The graph indicates that all points on the line -6x + y = 3 are solutions to the inequality; in addition, any point above the line (i.e. in the shaded region) is also a solution to the inequality.To determine whether a point is a solution to the inequality, one can plug in the x and y values of the point into the inequality and see if the resulting inequality is true.

For example, consider the point (3, 1), which lies in the shaded region above the line. Plugging in x = 3 and y = 1, we get:-6(3) + 1 ≥ 3Simplifying, we get:-17 ≥ 3This inequality is false, so the point (3, 1) is not a solution to the inequality -6x + y ≥ 3. On the other hand, consider the point (2, 5), which also lies in the shaded region above the line. Plugging in x = 2 and y = 5, we get:-6(2) + 5 ≥ 3Simplifying, we get:-7 ≥ 3This inequality is true, so the point (2, 5) is a solution to the inequality -6x + y ≥ 3.

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Answer : 6/10 or 3/5

Answer:

3/5

Step-by-step explanation:

60% = 60/100

=> 60/100 [Divide both numerator and denominator by 10]

=> 6/10      [Divide both numerator and denominator by 2]

=> 3/5

Answer:

Area = 2.28km^2 and Perimeter = 13.7km

Step-by-step explanation:

The formula for calculating the area of a triangle is (b*h)/2. The base is 1.2 and the height is 3.8. So the area of the triangle is (1.2*3.8)/2, which is equal to 2.28.

The perimeter of the triangle is 1.2+5.5+7, which is equal to 13.7.

The choice that matches the area and perimeter of the triangle is the third option: Area = 2.28km^2 and Perimeter = 13.7km.

Answer:

○ Area = 2.28 km²

  Perimeter = 13.7 km

(Third option)

Step-by-step explanation:

• The perimeter of a shape is the sum of the length of the sides:

∴ Perimeter = \(7 \space\ km + 1.2 \space\ km + 5.5 \space\ km\)

                    = \(\bf13.7 \space\ km\)

• To find the area of a triangle, we have to use the following formula:

\(\boxed{\mathrm{Area = \frac{1}{2} \times base \times perpendicular \space\ height}}\).

In this case, the base is 1.2 km, and the height is 3.8 km.

Substituting the values into the formula:

\(\mathrm{Area = \frac{1}{2} \times 1.2 \space\ km \times 3.8 \space\ km}\)

        = \(\bf2.28 \space\ km^2\)

Answer: 153 students

Step-by-step explanation:

51% = 0.51

Then take 300 times 0.51 = 153 students

Answer:

y=4

y= -1

Step-by-step explanation:

Answer:

Number of stamp Amanda has = 112

Step-by-step explanation:

Given:

Total number of stamp = 364

Number of stamp Lyle has = x

Number of stamp Shaquille has = [1/2]x

Number of stamp Amanda has = [2/3]x

Find:

Number of stamp Amanda has

Computation:

Total number of stamp = Number of stamp Lyle has + Number of stamp Shaquille has + Number of stamp Amanda has

Total number of stamp = x + [1/2]x + [2/3]x

364 = 13x / 6

x = 168

So,

Number of stamp Amanda has = [2/3]168

Number of stamp Amanda has = 112

Answer:

C.112

Step-by-step explanation:

edge 2020

The number 24 is 2/3 times of the number 36.

A branch of mathematics known as algebra deals with symbols and the fine operations performed on them.

Variables are the name given to these symbols because they warrant set values. We constantly observe constant change in specific values in our day- to- day situations. But the need to depict these shifting values is ongoing.

In order to determine the values, these symbols are also subordinated to colorful addition, deduction, addition, and division computation operations.

We have to find 2/3 times what equals 24.

let the number be x.

So, 2/3 of x = 24.

2x/ 3 = 24

2x = 72

x= 72/ 2

x= 36

Thus, the required number is 36.

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When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).

To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.

In this we ca easily find the remainder.

Now we firstly find the value of x;

(x+1) = 0

Subtract 1 on both side we get;

x= −1

Now put x= -1 in the expression x^3+2x^2+x+1.

x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1

x^3+2x^2+x+1 = −1+2−1+1

x^3+2x^2+x+1 = 1

Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

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The right question is:

What is remainder when x^3+2x^2+x+1 is divided by (x+1)?

Answer:

G=6

Step-by-step explanation:

Answer:

g = 6

Step-by-step explanation:

g/3 - 1 = 1

      +1    +1

g/3 = 2

(3)     (3)

g = 6

Kayaker=12.5, so 12 knots

Commercials=9 commercials per hour

Dog= 7 miles

Tutoring=750 dollars

Answer:

i cant help i do not know answer

Answer:i-

Step-by-step explanation: good luck

Answer:

the height of the tree is about 151 meters

(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.

(b)75.8

Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.

It is given that a pizza lover wants to compare the average delivery times.

Therefore the null hypothesis and alternate hypothesis implies that,

H₀ =  all restaurants have equal mean delivery time

Hₐ = at least two restaurants have different two deliveries

Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.

The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.

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Answer:

It should be 60 degrees

Step-by-step explanation:

Thus, the drawing's scale factor is 8:1, or simply 8. This implies that each function measurement on the design is eight times bigger than its actual-world equivalent.

Mathematicians research numbers, their variants, equations, forms, and related structures, as well as possible locations for these things. The relationship between a group of inputs, each of which has a corresponding output, is referred to as a function. Every input contributes to a single, distinct output in a connection between inputs and outputs known as a function. A domain, codomain, or scope is assigned to each function. Often, functions are denoted with the letter f. (x). The key is an x. There are four main categories of accessible functions: on functions, one-to-one capabilities, so many capabilities, in capabilities, and on functions.

One inch on the illustration equals one eighth of an inch in reality if the scale is 1 inch = 1/8 inch.

We must divide the length of the drawing by the comparable length in reality to determine the scale factor. The scale factor is: because one inch on the design corresponds to 1/8 inch in reality.

1 / (1/8) = 8

Thus, the drawing's scale factor is 8:1, or simply 8. This implies that each measurement on the design is eight times bigger than its actual-world equivalent.

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1.The multiplied answer for the given numbers 2.5 and 3.15 is 7.875. Option 4 is correct.

2. Her investment is 578.85, Option-C is correct.

Given that,

There is a question in the picture that is

The numbers 2.5×3.15

We have to find the multiplied answer.

Mathematicians use multiplication to calculate the product of two or more numbers. It is a basic mathematical procedure that is widely used in daily life. When we need to combine groups of similar sizes, we utilize multiplication.

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Multiplying the numbers makes it simpler to add the same number repeatedly.

=2.5×3.15

=7.875

Therefore, the multiplied answer for the given numbers 2.5 and 3.15 is 7.875. Option 4 is correct.

2. We have she has invest $500 at 5% annual compound interest. After 3 years, what is her investment.

500×5%

25

Next 525×5%

551.50

Next

578.85

Therefore, her investment is 578.85, Option-C is correct.

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This is an example of an experimental study since the researcher chose who would get medicine and who would receive a placebo.

a quantitative research technique that controls other pertinent variables while observing the effects of changes in the study's key variables The Impact of Product Modularity on Supplier Integration: A Multi-Objective Approach2 provides further information. In experimental research, participants are randomly divided into distinct groups (such as experimental and control groups) in order to ascertain the causal relationship between a given condition (an independent variable) and a certain outcome (dependent variable).An illustration of an experimental research on the subject would be to assign people at random to either spend 10 minutes on their  page as the experimental treatment, or spend the same amount of time on other websites (control group).

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Answer:

c

Step-by-step explanation:

Answer:

5 is c 6 is b

Step-by-step explanation:

Answer:

5) C 6) B

Step-by-step explanation:

Yw

The volume of a rectangular prism of width W, length L, and Height H is calculated as:

The solid in the figure is a cube (W = L = H) with a side length of

Calculating the volume:

Choice c.