The curve with equation y = 47' +6x? is called a Tschirnhausen cubic. Find the equation of the tangent line to this curve at the point (1,1). An equation of the tangent line to the curve at the point (1.1) is

Answer:

The slope of the line is -12/3

Step-by-step explanation:

remember, rise over run

My I have brainliest please? :)

Answer:

y = 2x - 1

Step-by-step explanation:

In response to the query, we can state that Rounding to the nearest parallel lines hundredth, the value of x is approximately 4.89 inches. Therefore, the answer is not provided in the options.

In geometry, parallel lines are non-intersecting coplanar infinite lines. Parallel planes are ones that never intersect in a certain three-dimensional space. The term "parallel" refers to curves that have a fixed minimum distance between them and neither points of contact nor junction. In geometry, two lines are said to be parallel if they are in the same plane, equally spaced apart, and never intersect. Both horizontal and vertical can be used. Railroad tracks, columns of notebooks, and pedestrian crossings are examples of commonplace things that have parallel lines.  

A = (a + b)h/2

where a and b=lengths of the parallel sides of the trapezoid,

h =height

a = 550 in

b = 10 in

h = x in

A = (a + b)h/2 = (550 + 10)x/2 = 280x

And we know that the area of the trapezoid is 1,370 square inches:

A = 1,370

280x = 1,370

x = 1,370/280

x ≈ 4.89

Rounding to the nearest hundredth, the value of x is approximately 4.89 inches. Therefore, the answer is not provided in the options.

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Answer: an = 21 - 3.5n

Step-by-step explanation:

21 - 3.5 = 17.5

17.5 - 3.5 = 14

14 - 2.5 = 10.5

etc

Answer:

Bus 18 is more consistent than Bus 47 based on the IQR, which is smaller for Bus 18 (16) compared to Bus 47 (24), indicating less spread of data between the 25th and 75th percentiles.

Step-by-step explanation:

Answer: The correct option regarding which bus has the least spread among the travel times is given as follows:

Bus 14, with an IQR of 6.

How to obtain the measures of spread?

First, we consider the dot plot, which shows the number of times that each observation appears in the data set.

Then we consider the interquartile range, which gives the difference between the third quartile and the first quartile of the data set.

The interquartile range is a better measure of spread compared to the range of a data set, as it does not consider outliers.

For groups of 15 students, we have that:

The first half is composed of the first seven students, hence the first quartile is the fourth dot, which is the median of the first half.

The second half is composed of the last seven students, hence the first quartile is the eleventh dot, which is the median of the first half.

The quartiles for Bus 14 are given as follows:

Q1 = 12.

Q3 = 18.

Hence the IQR is of:

IQR = Q3 - Q1 = 18 - 12 = 6.

The quartiles for Bus 18 are given as follows:

Q1 = 9.

Q3 = 16.

Hence the IQR is of:

IQR = Q3 - Q1 = 16 - 9 = 7.

Step-by-step explanation:

Answer:

the answer is 66feet

Step-by-step explanation:

can i get a brainliest plz

Answer:

7 inches

Step-by-step explanation:

Answer:

perimeter of square = 4x

= 4x = 28/4

x = 7 inches

To draw the image of quadrilateral ABCD under a translation by 1 unit to the right and 4 units up, we will move each point of the quadrilateral in the specified direction.

Let's assume the coordinates of the original quadrilateral ABCD are as follows:

A(x₁, y₁), B(x₂, y₂), C(x₃, y₃), D(x₄, y₄)

To perform the translation, we will add the given values to the x-coordinates and y-coordinates of each point:

A'(x₁ + 1, y₁ + 4), B'(x₂ + 1, y₂ + 4), C'(x₃ + 1, y₃ + 4), D'(x₄ + 1, y₄ + 4)

Now, plot the original quadrilateral ABCD and then move each point to its corresponding new position.

For example, if point A had coordinates (2, 3), after the translation, it will move to (2 + 1, 3 + 4) = (3, 7). Similarly, you can calculate the new coordinates for points B, C, and D using the same process.

Once you have the new coordinates for each point, connect them to form the image of the quadrilateral ABCD under the translation.

The new quadrilateral A'B'C'D' will be a shifted version of the original quadrilateral, 1 unit to the right and 4 units up.

It's important to note that the scale and proportions of the quadrilateral will remain the same after the translation. Only its position in the coordinate plane will change.

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Answer:

1/3n=12

Step-by-step explanation:

The reason why it is 1/3n=12, is because you know that the number in front of n is 1/3. By figuring that out, you have already ruled out 3n=12 and 3n=-12. Finally, you know that 12 is a positive number leaving you with 1/3n=12.

Answer:

Account A:

\(4750 {e}^{.0375 \times 7} = 6175.84\)

Account B:

\(5100 {(1 + \frac{.03875}{12}) }^{12 \times 5} = 6188.41\)

Account B has a larger balance.

Answer:

Step-by-step explanation:

ima a braintlest

Answer:

B

Step-by-step explanation:

by a rule of angles in parallel lines we have that

angle 4 + angle 5 =180

so we have

(3x+15)+(2x-10)=180

(3+2)x+(15-10)=180

5x+5=180

5(x+1)=180

x+1=36

x=36-1

x=35

Answer:

B. 35

Step-by-step explanation:

<4 and <5 are supplementary angles and their sum is = 180°

3x + 15 + 2x - 10 = 180 add like terms

5x + 5 = 180

5x = 175

x = 35

The relatively prime positive integers of m+n is 409.

Since ABCD is an isosceles trapezoid

An isosceles trapezoid can be defined as a trapezoid in which non-parallel sides and base angles are of the same measure.

=>∠BAD = ∠ CDA Angles formed by the non parallel sides of an isosceles trapezoid are equal.

Given, AB = BC

Join AC

In ΔABC

∠BCA = ∠BAC Angle formed by the equal sides of and isosceles triangle

with its base are equal.

In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length

AB = BC-CD Arcs formed by same side chords on the circle are equal.

Measure of complete angle is 360 degrees.

=2θ+2θ+2θ+2Φ+2Φ+2Φ

=6θ+6Φ=360

\($$& \widehat{A B}+\widehat{A F}=\widehat{B F}=120 \\\)

∠CDE=120

Join FB

In ΔFAB,

By Law of Cosine:

\($$\begin{aligned}& c^2=a^2+b^2-2 a b \cos C \\& \Rightarrow B F^2=3^2+5^2-2.3 \cdot 5 \cos 120 \\& \Rightarrow B F^2=3^2+5^2-30 \cos 120 \\& \Rightarrow B F^2=9+25-30 \cdot(-0.5) \\& =B F^2=34-30.5 \\& \Rightarrow B F^2=34+15 \\& \Rightarrow B F^2=49 \\& \Rightarrow B F=7\end{aligned}$$\)

Laws of Sine:

⇒\($ & \sin A / a=\sin B / b={Sin} C / c\)

⇒\(& \sin \Theta=5 \sqrt{3} / 14 \ \& \sin \Phi=3 \sqrt{3} / 14 \\\)

In ΔAFD,

⇒\(& \angle A F D=3 \Phi \ \& \angle A D F=\Theta \\\)

\(& \Rightarrow {Sin} \Theta / 5=\sin 3 \Phi / A D \\& \Rightarrow {Sin} \Theta=5 \sqrt{3 /} / 14 \\& \Rightarrow{Sin} 3 \Phi={Sin}(\Phi+2 \Phi) \\& \Rightarrow {Sin} 3 \Phi={Sin} \Phi . {Cos} 2 \Phi+{Cos} \Phi . {Sin} 2 \Phi\)

\(& \Rightarrow {Sin} 3 \Phi= {Sin} \Phi \cdot {Cos} 2 \Phi+{Cos} \Phi \cdot {Sin} 2 \Phi \\& \Rightarrow {Sin} 3 \Phi={Sin} \Phi \cdot\left(1-2 \sin ^2 \Phi+2 {Sin} \Phi \cdot \cos ^2 \Phi\right) \\& \left.\Rightarrow {Sin} 3 \Phi={Sin} \Phi \cdot\left(1-2 \sin ^2 \Phi\right)+2\left(1-\sin ^2 \Phi\right)\right) \\& \Rightarrow {Sin} 3 \Phi={Sin} \Phi \cdot\left(3-4 \sin ^2 \Phi\right) \\\)

\(& \Rightarrow {Sin} 3 \Phi=3 \sqrt{3} / 14 \cdot(3-27 / 49) \\& \Rightarrow {Sin} 3 \Phi=3 \sqrt{3} / 14 \cdot(120 / 49) \\& \Rightarrow {Sin} 3 \Phi=180 \sqrt{3} / 343\)

Now,

\($$&{Sin} \Theta / 5={Sin} 3 \Phi / A D \\& \Rightarrow A D=5 {Sin} 3 \Phi / {Sin} \Theta \\& \Rightarrow A D=180 \sqrt{3} / 343 / 5 \sqrt{3} / 14 \\& \Rightarrow A D=180 \sqrt{3} / 343 X 14 / 5 \sqrt{3} \\& \Rightarrow A D=360 / 49 \\& m+n=360+49 \\& \Rightarrow m+n=409\)

Therefore, the value of m + n is 409.

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Based on an interest rate of 8.21% and a duration of 8 years, it will be determined which Direct Benefit project will be accepted.

To determine which Direct Benefit project would be accepted, we need to compare the present value (PV) of each project. The PV represents the current value of future cash flows, taking into account the interest rate and time period.

Let's evaluate each project individually:

1. Project A: The PV of Project A can be calculated using the formula PV = FV / (1 + r)^n, where FV is the future value, r is the interest rate, and n is the number of years. If the PV of Project A is greater than zero, the project will be accepted.

2. Project B: Similarly, we calculate the PV of Project B using the same formula. If the PV of Project B is greater than zero, the project will be accepted.

3. Project C: Again, we calculate the PV of Project C using the formula. If the PV of Project C is greater than zero, the project will be accepted.

By comparing the PV values of all three projects, we can determine which project(s) will be accepted. The project(s) with a positive PV will be considered financially viable, while the one(s) with a negative PV will not be accepted.

Please provide the specific details of the cash flows or any additional information related to the projects in order to calculate the PV and provide a definitive answer on which project(s) will be accepted.

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Answer:

See below

Step-by-step explanation:

If you consider an open circle, it would exclude the value with which we have circled when writing the inequality. Hence the only possible signs with in such an example can be a greater than sign ( > ) or less than sign ( < );

Let us take a look at an example to help. We are given a graph with an open circle on the number say 3. An arrow extends to the right of this number 3;

\(Inequality Sign - <,\\Inequality - x > 3,\\\)

Hope this helps!

Answer:

-4z

Step-by-step explanation:

Hi student! Let me help you out.

_____________________

Note that, -3z and -z are like terms. This means we can combine them right off the bat, which gives us \(\mathrm{-4z}\).

\(\mathrm{-3z-z=-4z}\). -4z is our final answer.

Hope that this helped you! have a good day ahead.

Best Wishes!

\(\star\bigstar\underline{\underline{\overline{\overline{\textsf{Reach far. AIm high. Dream big.}}}}}\bigstar\star\)

◈◈-Greetings!-◆◆

___________________

Answer:

-4z

Step-by-step explanation:

-3z-z

On combining like terms,

= -4z

Inorganic solids found in wastewater treatment processes primarily consist of sand, grit, and minerals. These substances are of mineral origin and do not contain carbon-hydrogen (C-H) bonds. Organic materials, such as grease and organic solids derived from plants, animals, or humans, are not classified as inorganic solids. Proper identification and separation of inorganic solids are important in wastewater treatment to ensure effective treatment and disposal of these substances.

Inorganic solids are substances that do not contain carbon-hydrogen (C-H) bonds and are not derived from living organisms. They are typically minerals or non-living materials found in nature.

a) Sand, Grit, and Minerals: Sand and grit are examples of inorganic solids commonly found in wastewater treatment processes. They are mineral particles that may enter the wastewater from various sources, such as soil erosion or industrial discharges. Minerals, which encompass a wide range of elements and compounds, can also be present as inorganic solids in wastewater.

b) Sand, Grease, and Organics: Grease is a form of organic material derived from animals or plants and is not considered an inorganic solid. Therefore, option b is incorrect.

c) Grease, Grit, and Organic Solids: While grease and grit are mentioned in this option, the inclusion of organic solids makes it incorrect. Organic solids are derived from living organisms and contain carbon-hydrogen (C-H) bonds. Inorganic solids, by definition, do not contain C-H bonds. Therefore, option c is incorrect.

d) Organic materials from Plants, Animals, or Humans: Organic materials from plants, animals, or humans are considered organic solids and are not inorganic solids. Therefore, option d is incorrect.

e) Both a and d: This option is correct. Inorganic solids include sand, grit, and minerals (option a), as well as organic materials derived from plants, animals, or humans (option d). The presence of both mineral-based inorganic solids and organic materials in wastewater necessitates appropriate treatment methods to effectively remove and manage these substances.

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The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

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Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, Gregg cut 4 sections of pizza dough.

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run."

Slope of the line is calculated by 2 methods:

The slope formula:

m = (y2 – y1)/(x2 – x1)

The standard line equation:

y = mx + b

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The correct question is-

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

The probability of the volume of soda in a randomly selected bottle being less than 23.1 oz is 69.15%, based on the given mean and standard deviation of the distribution.

To find the probability that the volume of soda in a randomly selected bottle will be less than 23.1 oz, we need to use the normal distribution formula and standardize the value.

We can begin by calculating the z-score, which is the number of standard deviations the value of 23.1 oz is away from the mean of 22.3 oz:

z = (x - μ) / σ

z = (23.1 - 22.3) / 1.6

z = 0.5

Using a standard normal distribution table or calculator, we can find the probability of obtaining a z-score of 0.5, which is 0.6915. This means that there is a 69.15% probability that a randomly selected bottle of soda will have a volume of less than 23.1 oz.

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The five rules for significant figures are that non-zero digits are always significant, zeros between two non-zero digits are significant, zeros to the left of the first non-zero digit are not significant, zeros to the right of the last non-zero digit are significant, and zeros at the end of a number and to the right of a decimal point are significant.

The five rules for significant figures are as follows:

1. Non-zero digits are always significant. This means that any digit other than zero (1, 2, 3, 4, 5, 6, 7, 8, and 9) is significant and should be counted.

2. Zeros between two non-zero digits are significant. This means that any zero that is located between two non-zero digits is significant. For example, the number “206” has three significant figures because there are two non-zero digits (2 and 6) and one zero (0) in between them.

3. Zeros to the left of the first non-zero digit are not significant. This means that any zero located to the left of the first non-zero digit is not significant. For example, the number “0.00206” has two significant figures because there is one non-zero digit (2) and two zeros (0) to the left of it.

4. Zeros to the right of the last non-zero digit are significant. This means that any zero located to the right of the last non-zero digit is significant. For example, the number “12.00” has four significant figures because there are two non-zero digits (1 and 2) and two zeros (0) to the right of them.

5. Zeros at the end of a number and to the right of a decimal point are significant. This means that any zero located at the end of a number and to the right of a decimal point is significant. For example, the number “12.050” has four significant figures because there are three non-zero digits (1, 2 and 5) and one zero (0) to the right of the decimal point.

For example, if we are given the number 123.4, the calculation would be:

123.4 = 1 x 102 + 2 x 101 + 3 x 100 + 4 x 10-1

Therefore, this number has four significant figures.

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Step-by-step explanation:

In triangle ABC. In triangle DBC

AB. = DB.

[Given]

<ABC. = <DBC

[Given]

BC. = BC

[Common side]

Hence,

As two sides and one angle of triangle ABC and triangle DBC are equal.

Triangle ABC is congruent to Triangle DBC

I think it's FALSE I sure

C=pi*d

Where pi is 3.14 and d is the diameter, in this case is 14ft. Find the circumference

Answer:

180- 148 = 32 (the measure of the angle thats supplementary to the exterior

180 - 56 -32 =92 (180 is the interior triangle angle sum, subtract the known angles to discover the unknown angle.

angle h = 92 degrees

Step-by-step explanation:

I hope this helped :)

The true statements are:

1) The relationship is proportional

2) y = -3x is equation of the line.

3) The slope is negative.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

A graph of the line is given.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

And line passes through the points (4, -12) and (6, -18).

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = -3

The slope is negative.

Then the equation of the line is,

y + 12 = -3(x -4)

y + 12 = -3x + 12

y = -3x

This equation shows the proportional relationship.

Therefore, all the required values are given above.

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The internal generated voltage (E_b) is given by:

\[E_b = K \phi N \left(\frac{Z}{2}\right)\]

! Here are the equations for the armature voltage, output voltage, output current, and internal generated voltage of a cumulatively compounded DC generator with a long-shunt connection:

(a) Armature voltage:

The armature voltage (V_A) is given by:

\[V_A = E_b - I_a R_a\]

where:

\(E_b\) = Generated emf

\(I_a\) = Armature current

\(R_a\) = Armature resistance

(b) Output voltage:

The output voltage (V_o) is given by:

\[V_o = E_b - I_a (R_a + R_{se})\]

where:

\(R_{se}\) = Series field resistance

(c) Output current:

The output current (I_0) is given by:

\[I_0 = I_L + I_{sh}\]

where:

\(I_{sh}\) = Shunt field current

(d) Internal generated voltage (emf):

The internal generated voltage (E_b) is given by:

\[E_b = K \phi N \left(\frac{Z}{2}\right)\]

where:

\(K\) = Constant of proportionality

\(\phi\) = Flux per pole

\(N\) = Armature speed per minute

\(Z\) = Total number of conductors

Please note that the flux per pole in a cumulatively compounded DC generator increases with load because the flux produced by the series field winding increases with the load.

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Answer:

the correct order from top to bottom is

3 then 2 then 1 then 4

The expected change in temperature in degree Fahrenheit for each additional cricket chirp in one minute.

We have given the relationship between the number of times a certain species of cricket will chirp in one minute and the temperature outside.

Here, we see that the best fit is a linear regression.

On the y- axis temperature in degree Fahrenheit is labeled and on the x axis chirps per minute is labelled.

Since  the slope = Rate of change of y/ Rate of change of x

Now after observing graph attached below,

So, the slope of line represent the expected change in temperature in degree Fahrenheit for each additional cricket chirp in one minute.

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