A rectangle is graphed on the coordinate grid.

Which represents the equation of a side that is perpendicular to side r?
y = negative x + 5
y = negative x + 3
y = x minus 3
y = x + 3

A Rectangle Is Graphed On The Coordinate Grid.Which Represents The Equation Of A Side That Is Perpendicular

Answers

Answer 1

Answer:

y = x + 3

Step-by-step explanation:

got it right on e2020

Answer 2

Answer:

The 4th option is correct

Step-by-step explanation:

Edge 2020


Related Questions

I NEED HELPPPPP. SOMEONE ANSWER THISSSS

I NEED HELPPPPP. SOMEONE ANSWER THISSSS

Answers

Answer:y=415 x = 21.5

Step-by-step explanation:

We can see 4x-37 = 49

4x = 86

x = 21.5

4(21.5) -3 = 83

Then we can see what the other side is because they are equal

y/5 = 83

83 x 5 = 415

y=415

The answer is Y= 415 X

Explanation

Part #1: find the solution of the inequality.\(10 \geqslant p - 4\)Part #2: describe the solution

Answers

\(\begin{gathered} 10\ge p-4 \\ \text{ Rewrite the inequality as } \\ p-4\leq10 \\ \text{add 4 to bot sides} \\ p-4+4\leq10+4 \\ p\leq14 \end{gathered}\)

Part 2

The solution is described as p is less than or equal or equal to 14

g(x) = 4x -9, what is g^-1(x)

Answers

Answer:

g^-1(x)= 1/4x-9

1 is above 4x-9

Step-by-step explanation:

g(x)= 4x-9

and g^-1 = 1/g(x)

so:

1/gx=1/4x-9

a box with a square base and open top must have a volume of 512000 cm3 . find the dimensions of the box that minimize the amount of material used.

Answers

The box measures 100.79 cm by 100.79 cm by 50.40 cm in size, which minimizes the quantity of material used.

Given,

Let the side of the square base be x

h be the height of the box

Volume V = x²h

512000 = x²h

h = 512000/x² ..... 1

Surface area =  x² + 2xh + 2xh

Surface area S =  x² + 4xh  ...... 2

Substitute 1 into 2;

From 2;

S =  x² + 4xh

S = x² + 4x(512000/x²)

S = x² + 2048000/x

To minimize the amount of material used;

dS/dx = 0

dS/dx = 2x - 2048000/x²

0 = 2x - 2048000/x²

0 = 2x³ - 2048000

2x³ = 2048000

x³ = 1024000

x = ∛1024000

x = 100.79 cm

Since Volume = x²h

512000 = 100.79²h

h = 512000/10158.62

h = 50.40 cm

Hence the dimensions of the box that minimize the amount of material used is 100.79 cm by 100.79 cm by 50.40 cm

Learn more about square base here;

https://brainly.com/question/19494124

#SPJ4

peter comapred 2 pencils. The figure below shows the two lengths
3\4 an 5\6
what is the difference in the lengths of the 2 pencils.

Answers

5/6 cross multiply by 3/4 = 5/8

Simplify 3.(9.).
A. 3x
B. 27x
C. 9x
D. 2 + 7x

Answers

i think your answer is B. 27x

Reduce to simplest form MATHH!!!
-3/4 - ( -1/6) = ??

Answers

The answer in simplest form is -7/12

Is the sequence geometric if so identify the common ratio 1/3, 2/9, 4/27, 8/81

Answers

Answer:

It is a geometric sequence and the common scale factor is \(\frac{2}{3}\).

Step-by-step explanation:

In an arithmetic sequence, the difference between consecutive terms is always the same.

\(a_n=a_1+(n-1)d\)

where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.

In a geometric sequence, each consecutive term was multiplied by some factor over the last.

\(a_n=ax^n^-^1\)

where aₙ is the nth term, n is the index, and x is the scale factor.

In the given sequence, there is no common difference so it is not an arithmetic sequence. There is, however, a common scale factor applied to each consecutive term. Each term is multiplied by \(\frac{2}{3}\) over the last.

The formula for this sequence would be:

\(a_n=a\frac{2}{3} ^{n-1}\)

Answer:

r = \(\frac{2}{3}\)

Step-by-step explanation:

If the sequence is geometric then there will be a common ratio r between consecutive terms , that is

r = a₂ ÷ a₁ = a₃ ÷ a₂ = a₄ ÷ a₃

Then

a₂ ÷ a₁ = \(\frac{2}{9}\) ÷ \(\frac{1}{3}\) = \(\frac{2}{9}\) × 3 = \(\frac{2}{3}\)

a₃ ÷ a₂ = \(\frac{4}{27}\) ÷ \(\frac{2}{9}\) = \(\frac{4}{27}\) × \(\frac{9}{2}\) = \(\frac{2}{3}\)

a₄ ÷ a₃ = \(\frac{8}{81}\) ÷ \(\frac{4}{27}\) = \(\frac{8}{81}\) × \(\frac{27}{4}\) = \(\frac{2}{3}\)

Then sequence is geometric with common ratio r = \(\frac{2}{3}\)

According to the graph, what is the value of the constant in the equation
below?

According to the graph, what is the value of the constant in the equationbelow?

Answers

Answer:

The value of the constant in the equation below is 20.

Step-by-step explanation:

You are given the formula height = constant/width. All you have to do is take one of the points given on the graph and plug it in to the formula.

Example:

1 = Constant/20

Constant = 20

As per linear equation, the Constant in the given graph is 20.

What is a linear equation?

A linear equation is an equation that has one or multiple variables with the highest power of the variable is 1.

Here, Height = Constant/Width

Therefore, Constant = Height × Width

We can take any two random points given on the graph.

Two points are (5, 4) and (20, 1).

For the first point,

Height = 4, Width = 5.

Therefore, Constant = 4 × 5 = 20

For the second point,

Height = 1, Width = 20.

Therefore, Constant = 1 × 20 = 20

Therefore, Constant in the given graph is 20.

Learn more about a linear equation here: https://brainly.com/question/16256194

#SPJ3

Which graph shows the solution set of -2 +
H
-
-4
-3
-2.
-1
0
1
2.
3
4
5
o
1
-1
H
+
H
-3
-2
0
1
2
3
4
5
O
-4
-3
- 1
1
2
3
4
5
o
1
-3
-
-1
1
2
3
4
5

Answers

2nd one hope this helps

ther
Rubbing alcohol has a density of
approximately 79 g/ml
Water has a density of approximately 100
g/ml
sity
***
Would water float on top of or sink
underneath rubbing alcohol?
sink underneath
float op top
220 PM

Answers

Density of alcohol=79g/mlDensity of water=100g/ml

We know

if a object has higher d ensity than water then it would sink in water and if it has lower density than water then it float over water

Clearly

79<100

So alcohol would float over water

Water would sink underneath rubbing alcohol.

What is density?

Density is the substance's mass per unit of volume.

A less dense substance floats on more dense substance.

Mathematically if density is ρ, mass is m and volume is V.

ρ = m/V  g/ml

Now it is given that,

Density of Rubbing alcohol = 79 g/ml

Density of Water = 100 g/ml

So here we can see that,

Density of Water is more than Density of Rubbing alcohol

Thus Rubbing alcohol will float on the surface of water.

Thus, Water would sink underneath rubbing alcohol.

To learn more about density :

https://brainly.com/question/17537695

#SPJ2

Kenzie will save 15% if she opens a credit card. She wants to buy a jacket for $120. How much will she save if she opens a credit card?​

Answers

Answer:

i think its 102 or 120-18

Step-by-step explanation:

i think cauee 10% of 120 is 12 and half of ten percent is 5 and 5% is 6

Answer:

she will save $18

Step-by-step explanation:

find 10% of the number. then find 5%. add the two answers together and you get $18.

10% of $120 = $12

5% of $120 = $6. (half 10%)

$12 + $6 = $ 18

A circle on the coordinate plane has a diameter with endpoints at (6, 8) and (15, 8). Point (x, y) is the center of the circle. What is the value of x ?.

Answers

Answer: the value of x is 10.5.

Step-by-step explanation:The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by the coordinates [(x1 + x2)/2, (y1 + y2)/2].

In this case, the endpoints of the diameter of the circle are (6, 8) and (15, 8), so the midpoint of the diameter is [(6 + 15)/2, (8 + 8)/2] = (10.5, 8).

Since the midpoint of the diameter is the center of the circle, the coordinates of the center of the circle are (10.5, 8).

Therefore, the value of x is 10.5.

I hope this helps! Let me know if you have any further questions.

3 friends ordered 2 pizzas of 6 slices each and ate equal amounts, how many slices did each person eat?

A 1
B 2
C 3
D 4

Answers

Answer:

Option D, 4

Step-by-step explanation:

2 pizzas x 6 slices per pizza = 12 slices of pizza

12 slices of pizza divided by 3 friends eating equal slices = 4 slices per friend

Option D, 4, is your answer

work out (3.1+1.7)÷0.6​

Answers

Answer:

the answer is 8

Step-by-step explanation:

the first step is to work whats in the brackets then you get 4.8 then you divide 4.8 into 0.6 and ur answer should be 8

Find a similarity ratio is the ratio of perimeter's for to regular pentagons with areas of 16 cm Square and 49 cm Square

Answers

Answer:

4 : 7

Step-by-step explanation:

Given 2 similar figures the if the ratio of perimeters = a : b

The the ratio of areas = a² : b²

Here

ratio of areas = 16 : 49 , then

ratio of perimeters = \(\sqrt{16}\) : \(\sqrt{49}\) = 4 : 7

as the tides change, the water level in a bay varies sinusoidally. at high tide today at 8 a.m., the water level was 15 feet; at low tide, 6 hours later at 2 pm, it was 3 feet. how fast, in feet per hour, was the water level dropping at noon today?

Answers

The water level dropped from 15 feet at 8 A.M. to 3 feet at 2 P.M. The time interval between these two points is 6 hours. Therefore, the rate of change of the water level at noon was 2 feet per hour.

By analyzing the given information, we can deduce that the period of the sinusoidal function is 12 hours, representing the time from one high tide to the next. Since the high tide occurred at 8 A.M., the midpoint of the period is at 12 noon. At this point, the water level reaches its average value between the high and low tides.

To find the rate of change at noon, we consider the interval between 8 A.M. and 2 P.M., which is 6 hours. The water level dropped from 15 feet to 3 feet during this interval. Thus, the rate of change is calculated by dividing the change in water level by the time interval:

Rate of change = (Water level at 8 A.M. - Water level at 2 P.M.) / Time interval

Rate of change = (15 - 3) / 6

Rate of change = 12 / 6

Rate of change = 2 feet per hour

Therefore, the water level was dropping at a rate of 2 feet per hour at noon.

Learn more about rate of change here:

https://brainly.com/question/18884960

#SPJ11

I need help plz help me

I need help plz help me

Answers

Answer: 2538

Step-by-step explanation:

12*21/2

126

126/1*41/2

2538

Answer:

l*b*h=2583m²

Step-by-step explanation:

note no need units, so no need metre square or m²

How many solutions does the nonlinear system of equations graphed below
have?
O A Zero
• B. One
O C. Four
O D. Two

How many solutions does the nonlinear system of equations graphed belowhave?O A Zero B. OneO C. FourO

Answers

Answer:

D. Two.

Step-by-step explanation:

The two graphs touch each other at two different points, meaning they have two solutions.

Graph the parabola.
y=(x+1)^2-3

Answers

Answer:

tap on the picture to see.

Step-by-step explanation:

that should help

Graph the parabola.y=(x+1)^2-3

Answer:

I like to use Desmos when I graph parabolas. But I’m this case it would be 3 down and one to the left so the vertex should be (-1,-3) and then just graph x^2

Step-by-step explanation:

Hope this helps! ;-)

Graph the parabola.y=(x+1)^2-3

4x 103 times what number is equal to 16 x 105?

Answers

The number is : 400000000.

What is Algebra?

Algebra is a branch of mathematics that deals with symbols or variables and uses arithmetic operations (+, –, ×, ÷) to find the unknown quantities represented by these variables.

The given question in the form is:

4x \(10^3\) times what number is equal to 16 x \(10^5\)?

Now, According to the question:

Based on the given conditions :

We have to write:

16 x \(10^5\) × \(\frac{1}{4}\) x \(10^3\)

Reduce the expressions to the lowest term:

\(4.10^5.10^3\)

Simplify using exponent rule with same base:

\(a^n.a^m=a^n^+^m\)

=> \(4.10^5^+^3\)

Calculate the sum or difference:

=> \(4.10^8\)

Calculate the power:

4 × 100000000

Calculate the product or quotient:

=> 400000000

Learn more about Expression at:

https://brainly.com/question/28170201

#SPJ4

In the figure there are 5 equal rectangles and each of its sides is marked with a number as indicated in the drawing. Rectangles are placed without rotating or flipping in positions I, II, III, IV, and V in such a way that the sides that stick together in two rectangles have the same number. Which of the rectangles should go in position I?

In the figure there are 5 equal rectangles and each of its sides is marked with a number as indicated

Answers

The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

Each histogram represents a set of data with a median of 29.5. Which set of data most likely has a mean that is closest to 29.5?

A graph shows the horizontal axis numbered 9 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 33 then a downward trend from 33 to 45.
A graph shows the horizontal axis numbered 15 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 30 then a downward trend from 30 to 45.
A graph shows the horizontal axis numbered 12 to 56. The vertical axis is numbered 2 to 8. The graph shows an upward trend from 1 to 32 then a downward trend from 32 to 56.
A graph shows the horizontal axis numbered 15 to 54. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 24, a downward trend from 24 to 27, an upward trend from 27 to 30, a downward trend from 30 to 39, an upward trend from 39 to 45, a downward trend from 45 to 48, then an upward trend from 48 to 51.

Answers

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

For such more question on histograms

https://brainly.com/question/2962546

#SPJ8

Solve for x: 1
pls help asap

Solve for x: 1pls help asap

Answers

Answer:

-2<x<1

Step-by-step explanation:

simply isolate x

3/5(x - 19) = -15 please show work thx

Answers

Answer:

The answer is (-56)

Step-by-step explanation:

3/5(x – 19) = -15

(x – 19)/5 = -15

x – 19 = (-15)(5)

x – 19 = -75

x = 19 – 75

x = -56

Thus, The value of x is (-56)

-TheUnknownScientist 72

Consider the following scenario to understand the relationship between marginal and average values. Suppose Lorenzo is a professional b. player, and his game log for free throws can be summarized in the following table.

Answers

The missing points from the Column is:

Game Free-Throw Percentage:        60  20  60  80

Average Free-Throw Percentage:    70  60  55  56.67

Game       Game           Total              Game                              Average

               Result                               Free-Throw                       Free-Throw

                                                       Percentage                       Percentage

1                8/10              8/10                 80                                  80

2                 6/10            14/20               60                                  70          

                                               

3                1/5               15/25                20                                  60        

                                                 

4                3/5              18/30                60                                  55        

                                                 

5                8/10             26/40               80                                  56.67                                                          

In the "Total" column, we keep track of the cumulative number of successful free throws out of the total attempts.In the "Game Free-Throw Percentage" column, we calculate the percentage of successful free throws made in each game.In the "Average Free-Throw Percentage" column, we calculate the average free-throw percentage up to that game by dividing the cumulative successful free throws by the cumulative total attempts and multiplying by 100.

Learn more about Cumulative Frequency here:

https://brainly.com/question/28491523

#SPJ4

The question attached here seems to be incomplete, the complete question is

Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.

Game       Game Result         Total      Game Free-Throw Percentage    Average Free-Throw Percentage

1                        8/10                        8/10                   80                                                           80

2                        6/10                        14/20                    

3                        1/5                        15/25  

4                        3/5                        18/30  

5                        8/10                       26/40  

Find the length of side x in simplest radical form with a rational denominator.

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

\( x = 2 \sqrt{5} \)

Step-by-step explanation:

\( \sin \: 30 \degree = \frac{ \sqrt{5} }{x} \\ \\ \frac{1}{2} = \frac{ \sqrt{5} }{x} \\ \\x = 2 \sqrt{5} \)

consider the r-vector space of infinitely-often differentiable r-valued functions c [infinity](r) on r. let d : c [infinity](r) → c[infinity](r) be the differential operator d : c [infinity](r) → c[infinity](r) , df = f 0 .

Answers

Differential operator d plays a central role in calculus, as it allows us to study the behavior of functions by analyzing their  

The question pertains to the r-vector space of infinitely-often differentiable r-valued functions c [infinity](r) on r. In this context, d is the differential operator which maps each function in the space to its derivative.

Specifically, given a function f in c [infinity](r), d(f) is defined as the derivative of f, denoted by f 0.

The differential operator d is a linear transformation, as it satisfies the properties of additivity and homogeneity. Additionally, it is continuous, meaning that small changes in the input function will result in small changes in the output function.

Moreover, the space of infinitely-often differentiable functions c [infinity](r) is an important one in mathematics, as it is used in various areas such as analysis, geometry, and physics.

To learn more about : functions

https://brainly.com/question/11624077

#SPJ11

Are irrational numbers such as π included in the domain of the function f(x) = 7

Answers

Yes, irrational numbers such as π are included in the domain of the function f(x) = 7.

The domain of a function is the set of all possible input values (x) for which the function is defined. In the case of the function f(x) = 7, the output value (y) is always equal to 7, regardless of the input value.

Since every real number, including irrational numbers like π, can be an input value for f(x) = 7, the domain of this function is the set of all real numbers, which includes both rational and irrational numbers. Therefore, π is included in the domain of the function f(x) = 7.

To know more about  irrational numbers here

https://brainly.com/question/26862717

#SPJ4

Which ordered pair would be plotted by starting from the origin and moving 0. 25.

Answers

Depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).

To plot an ordered pair starting from the origin and moving 0.25, we need both an x-coordinate and a y-coordinate.

We are starting from the origin (0, 0), we can apply the movement of 0.25 to either the x-axis or the y-axis.

If we move 0.25 units on the x-axis, the x-coordinate of the ordered pair would be 0.25, and the y-coordinate would remain 0 since there is no movement on the y-axis. Therefore, the ordered pair would be (0.25, 0).

Similarly, if we move 0.25 units on the y-axis, the x-coordinate would remain 0 since there is no movement on the x-axis, and the y-coordinate of the ordered pair would be 0.25. In this case, the ordered pair would be (0, 0.25).

So, depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).

To know more about ordered pair refer here:

https://brainly.com/question/28874341#

#SPJ11

Other Questions
Problem 4-15 (Algo) Contrasting ABC and Conventional Product Costs [LO4-2, LO4-3, LO4-4] Marine, Incorporated, manufactures a product that is available in both a flexible and a rigid model. The company has made the rigid model for years: the flexible model was introduced several years ago to tap a new segment of the market. Since introduction of the flexible model, the company's profits have steadily declined, and management has become concerned about the accuracy of its costing system. Sales of the flexible model have been increasing rapidly. Overhead is applied to products on the basis of direct labor-hours. At the beginning of the current year, management estimated that $506,000 in overhead costs would be incurred and the company would produce and sell 1,500 units of the flexible model and 8,500 units of the regular model. The flexible model requires 2.2 hours of direct labor time per unit, and the regular model requires 1.10 hours. Direct materials and labor costs per unit are given below: Required: 1-a. Compute the predetermined overhead rate using direct labor-hours as the basis for allocating overhead costs to products. 1-b. Compute the unit product cost for one unit of each model. 2. An intern suggested that the company use activity-based costing to cost its products. A team was formed to investigate this idea. It come back with the recommendation that four activity cost pools be used. These cost pools and their associated activities are listed as follows: what is the 6 steps of the sceintific method Q \( 5: 7(=2+2+3) \) points For each of the following languages over \( \{a, b\} \), give a relaxed or strict regular grammar to generate it. a) The set of strings that either contain bbaa or contain Which term refers to the emt's initial sense of the patient's condition, based on immediate assessment of the patient's environment, appearance, and chief complaint? why did the church punish the people who had different beliefs than ptolemy 15. What is this encyclopedia entry mainly about?While Neil Armstrong may forever have the distinction of being the first man to walk on the moon, he wasn't the first man to walk in space. In fact, the first person to walk in space wasn't American. That distinction belongs to Russian Alexei Leonov. He flew into space in 1965 boarding the Voskhod 2 spacecraft. Like Armstrong, Leonov also had a partner to share in this accomplishment as Leonov was joined by cosmonaut Pavel Belyayev. Leonov exited the Voskhod's hatch and took the first steps into space. He wore a backpack containing air, similar to the pack worn by scuba divers. His 12-minute walk was the first of its kind. The fact that the walk looked more like he floated did not take away from this accomplishment. Three months later, the U.S. played catch-up and sent astronaut Edward White aboard the Gemini to walk in space.15. What is this encyclopedia entry mainly about?a. Alexei Leonov graduated from the Soviet air force flying and engineering schools.b. During the 1960s, the American space program tried to catch up to the Russians.c. American Edward White was the second human to walk in space in 1965.d. Russian Alexei Leonov was the first human to walk in space in 1965. Help please:Read the excerpt from Last Rites of the Indian Dead.And it is not just collectors of the macabre who pay for skeletal remains. Scientists say that these deceased Indians are needed for research that someday could benefit the health and welfare of living Indians. But just how many dead Indians must they examine? Nineteen thousand?How does Harjos style affect her message?Select the two correct answers.Harjos questions create a sarcastic tone that emphasizes her disgust at disrespect shown to so many American Indians for dubious benefit. Harjo uses the term collectors of the macabre to try to discredit scientists who conduct research using American Indian remains as barbaric.Harjo asks the audience to consider whether the investment required to research American Indian subjects is worth the outcome. Harjo refers to skeletal remains as deceased Indians and dead Indians to emphasize their humanity and to condemn scientists for ignoring this. In Fahrenheit 451, identify and explain three elements of the world Beatty describes, which are similar to the world you live in today When Rom was 16 years old, he deposited certain sum of money in a bank at the rate of 10% p. a. Compounded annually. After his balance became 121 times the initial principal, he deposited & of the 400 existing balance in the same account. After 1 year of this deposition, the bank changed it's policy to giva interest at 201. p.a simple interest. At the age of 24 years, Ram planned to stort a business. so he withdrew all the money from his account. He found that the withdrawn amount was Rs. 359 less than thrice of the initial principal. Then, Find the sum deposited by Ram at the age of 16 years. The amount withdrawn from the bank was not enough so, he borrowed a loan of Rs. 1.10,000 from the bank and agreed to pay within 4 years, at rate of 15% pa. compounded annually. He paid the interest of the first year at the end of the 1st year. He cleared his debt by paying equal installments in next 2 years and 1 year. .Find the total interest paid by him to the bank. For how many years, he should have waited to start the business so that he need not borrow entra Loan? Frugal : lavish :: __________Banal : austereStymie : deduceVociferous : strident according to the constitution what is the age below which is a child cannot be employed in any factory or minesA) 21 yearsB) 18 yearsC) 16 yearsD) 14 years Given a line = (2,-1,3) +1(3,4,5), find the equation of the plane through the point P(3,-2,6) and perpendicular to the line.Given a plane 2r-3y+7=2 and a point (-1, 1, 1), find the parametric equation of a line through the point and parallel to the plane..Given a line defined by the parametric equations = 1+3, y=2+21.7+4t, and the plane 3x-5y+2= -5, find where the line intersects the plane. Complete the sentences with some or any?1. Is there.... coffee in the cabinet? 2.I'd like.... yogurt. 3. There isn't... tea here - can you buy some? 4. Can i have... onions? I need them to make lunch. 5.She usually has... fruit after dinner.6. Would you like... tomato soup? 7.Are there ... lemons in the kitchen? 8. I don't want... water. Find the measure of each indicated side. Round your answer to the nearest tenth. Consider a channel with 100 khz bandwidth that we would like to use for data transmission. Assume that due to poor cable insulation the channel becomes so noisy that the signal power drops to only 41% of the noise power. Given that the signal power is less than half of the noise power, is it still possible to use this channel for data transmission? If so, what is an estimate of the maximum achievable data rate?a. If the signal power is less than half the noise power, then the signal does not stand out from the noise anymore, so data transmission is not possible at all, since the signal is buried under the noise. As a result, we cannot safely distinguish noise from data, no matter how sensitive receiver is used.b. It depends on how sensitive the receiver. If it can safely distinguish V different signal levels, then by Nyquists's Theorem, data transmission is possible at a rate of 2 H log V. In principle this rate can be arbitrarily high, if V is large enoughc. By Shannon's Theorem on a channel of bandwidth H, given noise power N and signal power S, the maximum achievable data rate is D= H log (1 + S/N). In our case S/N = .41, implying that log (1 + S/N) = log 1.41. Since in Shannon' formula the logarithm has base 2, therefore this value is approximately 0.5. Therefore, data transmission is still possible at a rate of approximately 50kb/s in this channelThe top cell is the question and the cells below are possible answers. State the horizontal asymptote of the rational function. (5 points) worth lots of points!!! f(x) = quantity three x squared minus four x minus three divided by quantity two x squared minus three x plus two What is the purpose of government? Select a quotation from a US leader on the subject of government. Then, write an argumentative essay that explains why you agree or disagree with the leaders views. In the conclusion to your essay, present your own views on the purpose of government based on the statement you evaluated and discussed. rough draft Which will have "5" as an output?>>> from gcd import math>>> gcd(15,20)>>> from random import GCD>>> GCD(15,20)>>> from math import god>>> gcd(15,20)>>> from random import GCD>>> GCD(15.20)answer ? What are 3 arguments why cows arent bad for the environment ?What are 3 arguments why cows are bad for the environment? A set of equations is given below:Equation C: y = 6x + 9Equation D: y = 6x + 2Which of the following options is true about the solution to the given set of equations? aOne solution bNo solution cTwo solutions dInfinite solutions