A support hotline asks callers to stay on the line after they have completed their call to respond
to a short survey.

Answers

Answer 1
Then you should complete the survey

Related Questions

The average mass of a certain type of microorganism is 2.4×10^ −6
grams. What is the approximate total mass of 5,000 of these microorganisms?

0.0012 g

0.012

0.12 g



0.00012 g

Answers

Answer:

Below

Step-by-step explanation:

5000   *   2.4 x 10^-6  =

12 000 x 10^-6  g

= .012 g

Lim 3√x-1/x-1. as x tends to 1 ​

Answers

Answer: To find the limit of the expression 3√x-1/x-1 as x approaches 1, we can use L'Hopital's Rule. L'Hopital's Rule is a method for finding the limit of indeterminate forms, such as 0/0 or ∞/∞, by taking the derivative of the numerator and denominator.

In this case, the expression is of the form 0/0, so we can use L'Hopital's Rule:

lim 3√x-1/x-1 = lim (3/2)((x-1)^(1/2)) / 1 = 3/2

So the limit of the expression 3√x-1/x-1 as x approaches 1 is equal to 3/2.

Step-by-step explanation:


A growing giant pumpkin weighs 40.5 pounds on day 18 and 496.3 pounds on day 50. Which equation can be
used to find the weight gain of the giant pumpkin, (pounds), from day 18 to day 50, and what is the value of x?

Answers

The equation of line is y = 14.24375x + 296.8875 , where x is the number of days and y is the total weight gain in x days

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 18 , 40.5 )

Let the second point be Q ( 50 , 496.3 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 496.3 - 40.5 ) / ( 50 - 18 )

Slope m = 455.8 / 32

Slope m = 14.24375

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 40.5 = 14.24375 ( x - 18 )

On simplifying the equation , we get

y - 40.5 = 14.24375x - 256.3875

Adding 40.5 on both sides of the equation , we get

y = 14.24375x + 296.8875

where x is the number of days

Hence , the equation of line is y = 14.24375x + 296.8875

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Find the unknown side length.

Answers

Answer:

x = 2.4 inch

Step-by-step explanation:

Tall retangular prism = lwh = 6 x 9 x 3 = 162 in^3

378 - 162 = 216

Long rectangular prism = lwh = (15)(6)(x) = 90x

216 = 90x

x = 2.4

A container of gas at 29 psi is compressed to
one seventh its original volume. What is the
new pressure of the gas?
Answer in units of psi

Answers

Step-by-step explanation:

Since the original volume is 29 and they are looking for 1/7th of that, we can multiply these two numbers

[tex](29)( \frac{1}{7} ) = 4 \frac{1}{7} psi[/tex]

Which of the following measure variability? Select all that apply.

a. mean

b. median

c. range

d. variance

e. standard deviation

f. interquartile range

Answers

(c) range, (d) variance, (e) standard deviation and (f) interquartile range measure variability.

Of the options provided, the measures that assess variability are:

Range, The range is the difference between the largest and smallest values in a dataset, indicating how spread out the data are.

Variance, The variance measures how far a set of numbers is spread out from their average. It provides a measure of how much the individual data points deviate from the mean.

Standard deviation, The standard deviation is the square root of the variance and is also a measure of how much the individual data points deviate from the mean. It is a widely used measure of variability, particularly in statistical analysis.

Interquartile range, The interquartile range (IQR) is the difference between the third and first quartiles of a dataset. It gives an idea of the spread of the middle 50% of the data and can help identify outliers.

The mean and median are measures of central tendency and do not directly measure variability.

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Sophia ate 18 candies in 4.5 minutes. How many candies did she eat per minute
what is it

Answers

Sophia ate an average of 4 candies per minute. This can be calculated by dividing the total number of candies (18) by the time it took her to eat them (4.5 minutes).
The answer is 4 because 18 divided by 4.5 is 4

it is expected that over the next 10 years,the speed of personal computer will double every 18 months.calculate how much faster the speed of personal computer will be in 6 years time compared to now

Answers

Answer: Since the speed of personal computers is expected to double every 18 months, we can use exponential growth to calculate the increase in speed over time. We can start by finding the growth factor, which is equal to 2 raised to the power of the number of doublings. In this case, the number of doublings over 6 years can be calculated as follows:

6 years / 1.5 years = 4 doublings

So the growth factor is:

2^4 = 16

This means that the speed of personal computers will be 16 times faster in 6 years compared to now.

Step-by-step explanation:

Ice cream is packaged in cylindrical gallon tubs. A tub of ice cream has a total surface area of 232.36 square inches.

If the diameter of the tub is 8 inches, what is its height? Use π = 3.14.

6.75 inches
5.25 inches
3.375 inches
2.625 inches

Answers

If the diameter of the tub is 8 inches, then the height of gallon tube is,  5.25 inches

What is surface area ?

Surface area is the sum of the areas of all the faces (or surfaces) of a three-dimensional object. It is a measure of how much area the surfaces of an object take up in two dimensions. The surface area of a solid can be found by adding up the areas of its faces.

The surface area of a cylinder can be expressed as:

SA = 2πr² + 2πr x h

where r is the radius of the cylinder, h is its height, and π is the constant pi (3.14).

The diameter of the tub is 8 inches, which means the radius is 4 inches. We are also given that the total surface area is 232.36 square inches.

So we can write:

232.36 = 2(3.14)(4²) + 2(3.14)(4)(h)

Simplifying and solving for h, we get:

232.36 = 100.48 + 25.12h

131.88 = 25.12h

h = 131.88/25.12

h ≈ 5.25 inches

Therefore, the height of the ice cream tub is approximately 5.25 inches.

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How do I do these questions ??

Answers

1.The athlete that did the most sit-up per minute is D'andrea with 44 sit up per minute

2. 22 Miles in 20 minutes < 38 Miles in 30 minutes

3. The rate that could be Jessica rate is 1 tile in 3 minutes

4. The best rate to find the best value of card is 6 greeting cards for $23.40

5. Elias can fold 3boxes in a minute and Dionne can fold 3.5 boxes in a minute.

What is rate?

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.

Rate per minute is the quantity divide by no of minute.

For example Casey did 93 sit up in 3 minute, His rate = 93/3 = 31 sit up per minute.

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Justin jogged for four days in a row. On the second day, he jogged 75% of the distance he jogged the first day. On the third day, he jogged 1.5 miles, more than the distance he jogged the first day. If Justin jogged a total distance of 9.25 miles, how many miles did he jogged on the fourth day?

Answers

On solving the prοvided question, we can say that 4.75 miles were ran on day four.

What is equation?

A mathematical equation is a formula that jοins two statements and uses the equal symbol (=) tο indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is known as an equatiοn in algebra.

Fοr instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences οn either side of a letter is described by a mathematical formula. Often, there is only οne variable, which alsο serves as the symbol. for instance, 2x – 4 = 2.

On day one, Justin ran two miles.

He ran two miles on the second day, or 75% of it. Divide by 100 and multiply by 75 to get the percentage of two miles that is 75%.

On the secοnd day, I ran 1.5 miles, or 2 / 100, or 0.02 x 75. (I've run 3.5 miles so far)

He ran 1.5 miles further on the third day than the previous one:

1.5 + 1.5 = 3 (6.5 miles jogged sο far) (6.5 miles jogged so far)

The total number of miles run was 9.25, thus tο find the solution, we must subtract 6.5 from 9.25.

4.75 miles were ran οn day four, or 9.25 minus 6.5.

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For the algebraic expression: -7+t
Identify the variable
Identify the constant

Answers

Answer:

Answer is in the attached photo.

Step-by-step explanation:

Solution

The solution is in the attached photo, do take note a variable is a alphabet can be assigned to any value, while a constant is a fixed number or value.

Answers:

variable = t

constant = -7

Step-by-step explanation:

So we know that a variable is a letter while a constant is a number

in here -7 is the constant (the number) and t is the variable (the letter)

Therefore, the variable is t and the constant is -7.

Find how much money needs to be deposited now into an account to obtain $6,200 (Future Value) in 15 years if the interest rate is 5% per year compounded continuously.
Round your answer to 2 decimal places

Answers

The amount of money that needs to be deposited now into an account to obtain $6,200 in 15 years is $2,928.67.

How to determine the principal amount?

Mathematically, continuous compounding interest can be calculated by using this mathematical expression:

P(t) = P₀e^{rt}

Where:

P(t) represents the future value.P₀ represents the principal.r represents the interest rate.t represents the time measured in years.

Substituting the given parameters into the continuous compounding interest formula, we have;

P(t) = P₀e^{rt}

$6,200 = P₀e^{0.05 × 15}

$6,200 = P₀e^{0.75}

Principal, P₀ = 6,200/e^{0.75}

Principal, P₀ = 6,200/2.11700001661

Principal, P₀ = $2,928.67.

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help ASAP Thanks mwa

Answers

Answer:

3

Step-by-step explanation:

In this triangle ABC, the leg lengths are AC and BC, being x and x+7, respectively. So, the area can be listed as: 15 = (1/2) * x * (x+7). Simplifying that gets x^2 + 7x = 30 -> x^2 + 7x - 30 = (x-10)(x-3). So, x = 3 since it cannot be negative.

A town has a population of 4.11 x 10^4 and shrinks at a rate of 9.6% every year. Which equation represents the town's population after 4 years?

Answers

Answer:

Step-by-step explanation:

The equation that represents the town's population after 4 years can be found using the formula:

P = P0 * (1 - r)^t

Where P is the population after t years, P0 is the initial population (4.11 x 10^4), r is the annual shrink rate as a decimal (9.6% as 0.096), and t is the number of years (4).

P = 4.11 x 10^4 * (1 - 0.096)^4

P = 4.11 x 10^4 * 0.6994^4

P = 4.11 x 10^4 * 0.4139

P = 1.70 x 10^4

So the town's population after 4 years is 1.70 x 10^4.

Answer:

Let P(t) be the population of the town after t years. We know that P(0) = 4.11 x 10^4. Then, the rate of change of the population is given by -0.096P(t), so we can write the differential equation:

dP/dt = -0.096P(t)

To find the population after 4 years, we need to solve this differential equation with the initial condition P(0) = 4.11 x 10^4. We can do this by separating variables and integrating both sides:

∫(dP/P) = -0.096 ∫dt

ln|P(t)| = -0.096t + C

where C is a constant of integration that can be found using the initial condition. Solving for P(t), we get:

P(t) = Ce^(-0.096t)

where C = e^(ln|P(0)|) = e^(ln|4.11 x 10^4|) = 4.11 x 10^4

Substituting in t = 4, we get:

P(4) = 4.11 x 10^4 e^(-0.096 × 4) = 4.11 x 10^4 e^(-0.384)

So, the equation representing the town's population after 4 years is:

P(t) = 4.11 x 10^4 e^(-0.096t)

A car purchased for $9,000 depreciates at a constant rate of 16.5%. What will be the value of the car in 6 years.
The value in 6 years is $_____.
round answer to 2 decimal places

Answers

The value in 6 years is $3050.43

What is depreciation?

The term depreciation refers to an accounting method used to allocate the cost of a tangible or physical asset over its useful life.

Using the formula:

Value = P(1-r)^n

From the question, the original value is $9,000, the depreciation rate is 16.5% or 0.165, and the time is 6 years. Plugging in the values:

Putting the values into the formula

Value = 9000(1-0.165)^6

Value = 3050.43

Hence, the value of the car after 6 years will be $3050.43

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If your car gets 33 miles per​ gallon, how much does it cost to drive 350 miles when gasoline costs ​$2.80 per​ gallon?

Answers

Answer:

$29.68 to drive 350 miles

Step-by-step explanation:

To find the cost of driving 350 miles, we first need to calculate the amount of gasoline required for driving 350 miles. We can use the formula:

gasoline = distance ÷ miles per gallon

Plugging in the given values:

gasoline = 350 ÷ 33

gasoline = 10.606060606060606

So, we need 10.61 gallons of gasoline to drive 350 miles.

Next, we multiply the amount of gasoline needed by the cost per gallon to find the total cost:

total cost = gasoline × cost per gallon

total cost = 10.61 × 2.80

total cost = 29.6780

Therefore, it would cost approximately $29.68 to drive 350 miles when gasoline costs $2.80 per gallon and your car gets 33 miles per gallon.

Answer: 350 mi * 1 gal / 33 miles * $2.80 / 1 gal  = 29.69$

which means the cost is 2.8*(350/33)=29.69$

Step-by-step explanation:

Here, 2.80$/1 Gal.

Now we need to cancel out gallons, so we add a ratio with gallons.

2.80$/1 Gal. x 1 Gal/33 mi.

Now add the last data element to cancel out miles.

2.80$/1 Gal. x 1 Gal/33 mi. x 350 mi.

Cancelling out units and numbers gives,

(2.80$ x 350)/33. Continue reducing to an answer:

980$/33 = 29.69$

(Score for Question 2: of 5 points)
-
2. Explain how to calculate 7% of 250 by first calculating 1% of 250.
Answer:
Math

Answers

Answer:

Note that 0.01 is the decimal form of 1%, so 0.01 multiplied by 7 yields 7%. So, if we were to find 1% of 250, which is 2.5, we can multiply the value by 7, which is 17.5.

Therefore, 7% of 250 is 17.5

PLS HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the solution to the equation given the replacement set?


25 - 3r = 10; {3, 4, 5, 6,}


Responses


3

4

5

6

Answers

Answer:

r = 5

Step-by-step explanation:

25 - 3r = 10 ( subtract 25 from both sides )

- 3r = - 15 ( divide both sides by - 3 )

r = 5

the solution from the replacement set is 5

solve 2x=32 in 2 different ways

Answers

Answer:

1. 32 divided by 2 is 16

2.  2 x 16 = 36

Step-by-step explanation:

PLEASE HELP (IMAGE ATTACHED)

It says my answer needs to be more simplified but I don’t understand

Answers

Answer:

  -5x⁵ +2x² -3/x³

Step-by-step explanation:

You want the quotient and remainder of (-15x⁸ +6x⁵ -9)/(3x³).

Division

The quotient and remainder can be found by dividing term by term.

  [tex]\dfrac{-15x^8+6x^5-9}{3x^3}=\dfrac{-15x^8}{3x^3}+\dfrac{6x^5}{3x^3}-\dfrac{9}{3x^3}\\\\\\=\boxed{-5x^5+2x^2-\dfrac{3}{x^3}}[/tex]

__

Additional comment

The exponent rule is (a^b)/(a^c) = a^(b-c).

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As a technical engineer, you must calculate the elevation of a Point marked on a topographic map. The distance between the 420-foot and 440-foot contour lines is 0.5 inches, and the marked point between them is 0.2 inches from the 420-foot contour. What is the elevation, in feet, of the marked point?​

A.100
B.424
C.428
D.430
E432

Answers

Answer:

The correct answer is C, 428 feet.

To calculate the elevation of the marked point, we need to interpolate between the two contour lines. The difference in elevation between the two contour lines is 20 feet (440 - 420 = 20). And since the distance between the two contour lines is 0.5 inches, each 0.1 inch increment represents a 4-foot change in elevation (20 feet ÷ 0.5 inches = 40 feet per inch ÷ 10 = 4 feet per 0.1 inch).

Since the marked point is 0.2 inches from the 420-foot contour, the elevation of the marked point can be calculated by adding 8 feet (4 feet x 0.2 inches) to the 420-foot contour line: 420 + 8 = 428 feet.

A 14-foot ladder is set up 4 feet from the base of a building. How far up the building does the ladder reach? round your answer to the nearest tenth of a foot.

Answers

The height that a ladder reaches is determined by the length of the ladder and its distance from the base of the building.

The ladder can be thought of as the hypotenuse of a right triangle, with the height that the ladder reaches up the building being one of the other sides and the distance of the ladder from the building being the other side.

So, the formula for the height that a ladder reaches can be expressed as:

Height =

Where "Ladder Length" is the length of the ladder, and "Distance from Base" is the distance of the ladder from the building.

Using this formula, we can calculate the height that the 14-foot ladder reaches when set up 4 feet from the base of the building:

Height = ([tex]14^2 - 4^2)^0.5[/tex]

= [tex](196 - 16)^0.5[/tex]

= [tex]180^0.5[/tex]

= 13.416407864

Rounding to the nearest tenth of a foot, the height the ladder reaches is 13.4 feet.

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O Points: 0 of 1
Sav
Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number.
Two times the sum of a number and five

Answers

The required simplified expression for "Two times the sum of a number and five" is 2x + 10.

What is an algebraic expression?

An algebraic expression is defined as when the expression is formed with help of variables such as x, y z, and so on. in the format of x + y + z or in any mathematical operation.

Here,
The phrase "Two times the sum of a number and five" can be written as

= 2(x + 5)

This is an algebraic expression that represents the value of two times the sum of the unknown number (represented by "x") and five.

We can simplify this expression by distributing the 2

= 2(x + 5) = 2x + 10

Therefore, the simplified expression for "Two times the sum of a number and five" is 2x + 10.

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Which set of measurements would prove that ΔABC and ΔDEF are similar?

A. DE = 15, EF = 20 and m∠D = 35
B. DE = 16, DF = 21 and m∠D = 35
C. DE = 12, DF = 16 and m∠D = 35
D. DE = 18, EF = 24 and m∠D = 70

Answers

Option (c) is correct answer.

(C) DE = 12, DF = 16 and m∠D = 35

which states, length of DE is 12 units , length of DF is 16 units and m/D=35 degrees.

Similar Triangles :

If two figures possess the same shape but not necessarily the same size, they are considered to be similar. We may remark that all circles are similar as an example. Equilateral triangles and squares are similar to one another. Although similar figures need not be congruent, all congruent figures are similar.

Property 1:

Two triangles are similar if their respective sides have the same ratio and their corresponding angles are equal.

Property 2:

The corresponding angles of two similar triangles will have equal values . Equiangular triangles are what they are called.

Now by property 1,

The pairs of  corresponding sides of similar triangles are proportional .

Therefore, in the given triangles,

[tex]\frac{AB}{DE} =\frac{AC}{DF} \\\\\frac{AB}{AC} =\frac{DE}{DF} \\\\\frac{9}{12} =\frac{DE}{DF} \\\\\frac{3}{4} =\frac{DE}{DF}[/tex]

Therefore, in the given options, option (c) satisfies the condition.

Hence, DE = 12 , and DF = 16.

By property 2 we know that , corresponding angles of similar triangles are equal.

hence, /A=/D

therefore, /D=35.

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On a partagé une somme entre trois personnes: la première en a reçu les deux tiers, la deuxième 300dirhams de moins que la deuxième. Chercher la somme et les trois parts

Answers

Answer: 590202

I don’t understand ur language

Find the image of the given point
under the given translation.
P(12, 8)
T(x, y) = (x-8, y - 12)

Answers

P(12,8)

Move  8 units to the left (X) and  12  units down(Y).

P'(12-8, 8-12)

P'(4, -4)

If you don't how to do translation try plotting (12,8).

Ducks are visiting a local pond (as pictured). The
angle at the tree is 28°. The house is 26 feet from
the tree and the tree is 47 feet from the ducks. How
far apart are the ducks from the house?

Answers

Using subtraction operator, the distance between the house and the ducks is 21 feet

What is trigonometric ratio

Trigonometric ratios are mathematical ratios that relate the sides of a right triangle to its angles. The three primary trigonometric ratios are sine, cosine, and tangent, which are commonly abbreviated as sin, cos, and tan.

In this case, we don't need to use trigonometric ratio since the duck and house with the tree are on the same length. We can simply use a basic arithmetic operation to find the distance between the ducks from the house.

Using subtraction, the distance between the ducks and the house will be

distance = 47 - 26

distance = 21 feet

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Would sorting the tiles with positive coefficients and tiles with negative coefficients together help to simplify an expression that involves all tiles? Explain.

Answers

Yes, sorting the tiles with positive coefficients and tiles with negative coefficients together can help simplify an expression that involves all tiles.

Would sorting the tiles with positive coefficients and tiles with negative coefficients together help to simplify an expression that involves all tiles?

When sorting the tiles, the positive coefficients are grouped together and the negative coefficients are grouped together. This makes it easier to perform operations such as addition and subtraction on the tiles and simplify the expression.

For example, if you have two tiles with positive coefficients and one tile with a negative coefficient, it becomes easier to see that the expression can be simplified by subtracting the negative tile from the sum of the two positive tiles.

Additionally, grouping the positive and negative coefficients together makes it easier to see any patterns or relationships that may exist between the coefficients and terms in the expression, which can further aid in simplification.

In summary, sorting the tiles with positive coefficients and tiles with negative coefficients together can help simplify an expression by making it easier to perform operations on the tiles and identify patterns and relationships between the coefficients and terms.

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PLEASE HELP MISSING
WORK

Jonathan wants to save up enough money so that he can buy a new sports equipment set that includes a
football, baseball, soccer ball, and basketball. This complete boxed set costs $85.50. Jonathan has $22.00 he
saved from his birthday. In order to make more money, he plans to wash neighbors' windows. He plans to
charge $4 for each window he washes
Part A
Write and solve an inequality that represents the number of windows Jonathan can wash in order to save at
least the minimum amount he needs to buy the boxed set.
Inequality:_______


PART B
GRAPH THE SOLUTION ON A NUMBER LINE
Explain the meaning of your inequality from Part A based on the context of the problem

Answers

The inequality that shows the least amount he needs is  4x + 22 ≥ 85.50 which shows he needs at least $15.875

What is the inequality that show the least amount he needs to buy boxed set

The Inequality that will represent this problem is 4x + 22 ≥ 85.50, where x is the number of windows Jonathan washes.

To solve the inequality, we'll start by subtracting 22 from both sides:

4x ≥ 63.50

And finally, dividing both sides by 4:

x ≥ 15.875

So, Jonathan needs to wash at least 15 windows in order to save up enough money to buy the boxed set.

b.

The graph on the number line showing x ≥ 15.875 is attached below

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Copper is an element. How do these images of copper illustrate this? Find the value of 15 - 8-2.3.50411 Modify the M-file in EXAMPLE 8 adding translations that bring the square to its original position using 30 iterations and a single additional for loop. Include the M-file (for a total of three loops) You do not need to include the figure. EXAMPLE 8 Consider the matrix S representing the original square in homogeneous coordinates. In the following M-file we translate the square horizontally using c = 0.4 and c = 0 for 30 times. We then translate the square vertically using c = 0 and 2 = 0.4 and 30 iterations. clf S= [0,1,1,0,0,0,0,1,1,0:1,1,1,1,1]: % square in homogeneous coordinates M1 = (1,0,0.4:0,1,0:0,0.1): % first translation matrix M2 = (1,0,0,0,1,0.4:0,0.1]: % the second translation matrix P = plot(S(1,:),(2,:)); % plot the original square axis square, axis ([-1.14,-1,14]), grid on for i = 1:30 S = M1*S: % compute the translated square set(p, 'xdata',s(1.:), 'ydata'.s(2.:)): % plot the translated square pauze (0.1) end for i = 1:30 S=M2*S: % compute the translated square set(p. 'xdata', (1, :), 'ydata'.s(2.:)): % plot the translated square pause (0.1) end WritingFind the length of the hypotenuse of the right triangle. Use pencil and paper. Explain how you can interpret the Pythagorean Theorem using the areas of squares. the phase in cell division in which the parent cell splits into two new daughter cells is called Compare in what ways was the religious development of the Viking, Magyar, and Anglo-Saxon societies the same? Describe how the phospholipid bilayer regulates the permeability of the cell membrane Place the steps to story writing in order:First: Second: Third: Fourth: Fifth: These two triangles are congruent. bB6 cm104912 cm9 cmA47'R292912 cmPa)What is the size of angle Q? Solve the system of equations by graphing.x+y = -74x + y = 19 There are eight groups of students, each working on a science project in the gym. Each group has the same number of students. Mr. Davids asks for 44 students from each group come with him to get more supplies. Now there are a total of 5656 students in the gym.a. Write an equation to represent this situation, where xx represents the number of students in each group.Previewb. How many students are in each group? Simplify your answer completely. noncash items do not affect capacious : cramped :: ostentatious : __________A. vagrantB. impudentC. dispassionate with which school of psychology is wilhelm wundt associated? how is a serial entrepreneur different than a social entrepreneur? a piston confines 0.200 mol ne(g) in 1.20 l at 25 8c. two experiments are performed. (a) the gas is allowed to expand through an additional 1.20 l against a constant pressure of 1.00 atm. (b) the gas is allowed to expand reversibly and isothermally to the same final volume. which process does more work? Write the exponential function that describes the situation.The initial amount of the function is 12, and then it decreases by a factor of 7/9 with each unit increase in x. which intervention will the nurse anticipate for a client taking quetiapine for acute psychosis who develops lead-pipe rigidity, trismus, and tachycardia? select all that apply. one, some, or all responses may be correct. What are the coordinates of(D0.25rx-axis)(ABCD) for A(2, 6), B(0, 0), C(-5, 8), and D(-2, 10)? (express ordered pairs as decimal) On a dry winter day, if you scuff your feet across a carpet, you build up a charge and get a shock when you touch a metal doorknob. In a dark room you can actually see a spark about 2 cm long. Air breaks down at a field strength of 3 10^6 N/C. How much charge have you built up? As- sume that just before the spark occurs, all the charge is in your finger, drawn there by in- duction due to the proximity of the doorknob. Approximate your fingertip as a sphere of di- ameter 1.42 cm, and assume that there is an equal amount of charge on the doorknob 2 cm away. Answer in units of C How many electrons does this correspond to? The elemental charge is 1.60218 10-19 C.