Suppose the area of a square can be represented by the expression 25x^2 + 80x + 64. What is an expression for the length of one side of the square?

Answers

Answer 1

The expression for the length of one side of the square is: 5x + 8.

How to find length of one side of the square?

To see why, note that the area of a square is given by side squared, so we can set up an equation:

\(side^2 = 25x^2 + 80x + 64\)

Taking the square root of both sides, we get:

\(side =\) √ \((25x^2 + 80x + 64)\)

Simplifying the square root, we get:

side = √[(5x + 8)(5x + 8)]

And finally, we can take the square root of the perfect square to get:

side = 5x + 8.

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Related Questions

(5 + 2 square root of 5) (5+ the square root of 125)

Answers

Answer:

2401

Step-by-step explanation:

Describe the operations that are
happening to the variable x in each
equation.
1) -x+ 12 = 8
2) 2x+3/5 = 2
3) -2(x/5 -3) = 3

Answers

Answer:

1. -x+12=8 =-x=8-12-= -x=-4 dbs= 4/x

junior secondary Use elimination method to solve the following simultaneous equations: 10m-7n=26
7m+7n=42​

Answers

Using Elimination method the simultaneous equations is -16/3.

How can a three-step elimination equation be solved?

Elimination is a mathematical technique that can be used to solve a system of three equations with three variables.

In standard form, without any fractions or decimals, write all the equations. Decide which one of the three variables you want to eliminate, then pick any two of the equations to do so.

The term "simultaneous equations" refers to two or more algebraic equations that share the same unknown variables and have the same answer. This suggests that the simultaneous equations have a single, solvable problem. For instance, 2x - 4y = 4, 5x + 8y = 3, are instances of simultaneous equations.

    10m-7n=26

  - 7m+7n=42​

    3m = -16

m = -16/3

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The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0

Answers

These are the correct asnwers
y2 – 5y = 750
750 – y(y – 5) = 0
(y + 25)(y – 30) = 0

The sum of 2 and b is greater than 28

Answers

The sum of 2 and 27 is greater than 28


The lowest airport in the world is Atyrau Airport in Kazakhstan. Its
runway is 72 feet below sea level. A passenger in a small airplane on
the runway holds her phone exactly 4 feet above the runway. What
is the elevation of her phone? Use a negative sign where appropriate,
and don't include units when typing in the secret answer

Answers

Answer:

-72 + 4 = -68

HELP ME ASAP PLEASE ITS THE SAME CONCEPT

HELP ME ASAP PLEASE ITS THE SAME CONCEPT

Answers

Answer :

m∠Q = 133°

Step-by-step explanation :

We know that,

Sum of all angles of a triangle = 180°.

Therefore,

\({ \longrightarrow \sf \qquad \: m \angle \: P +m \angle Q + m\angle R = 180 {}^{ \circ} } \)

\({ \longrightarrow \sf \qquad \: {(x + 13)}^{ \circ} +{(10x + 13)}^{ \circ} + {(2x - 2)}^{ \circ} = 180 {}^{ \circ} } \)

Adding like terms we get :

\({ \longrightarrow \sf \qquad \: {(x + 10x + 2x)} +(13^{ \circ} + 13^{ \circ} - 2^{ \circ} ) = 180 {}^{ \circ} } \)

\({ \longrightarrow \sf \qquad \: 13x +24^{ \circ} = 180 {}^{ \circ} } \)

\({ \longrightarrow \sf \qquad \: 13x = 180 {}^{ \circ} - 24^{ \circ} } \)

\({ \longrightarrow \sf \qquad \: 13x = 156 {}^{ \circ} } \)

\({ \longrightarrow \sf \qquad \: x = \dfrac{156 {}^{ \circ} }{13} } \)

\({ \longrightarrow \qquad \: { \pmb{ x = 12 {}^{ \circ} } }}\)

Therefore,

The value of x = 12°

Now, Substituting the value of x in m∠Q :

\({ \longrightarrow \qquad \: { \sf{ m \angle Q =( 10x + 13) {}^{ \circ} } }}\)

\({ \longrightarrow \qquad \: { \sf{ m \angle Q =10(12) {}^{ \circ} + 13{}^{ \circ} } }}\)

\({ \longrightarrow \qquad \: { \sf{ m \angle Q =120 {}^{ \circ} + 13{}^{ \circ} } }}\)

\({ \longrightarrow \qquad \: { \pmb{ m \angle Q =133 {}^{ \circ} } }}\)

find two real numbers that have a sum of 14 and a product of 38

Answers

To find two real numbers that have a sum of 14 and a product of 38, we can set up a system of equations. Let's call the two numbers x and y.

From the problem statement, we have the following information:

Equation 1: x + y = 14 (sum of the two numbers is 14)

Equation 2: xy = 38 (product of the two numbers is 38)

To solve this system of equations, we can use substitution or elimination method. Let's solve it using substitution:

From Equation 1, we can express y in terms of x by subtracting x from both sides:

y = 14 - x

Now we substitute this value of y into Equation 2:

x(14 - x) = 38

Expanding the equation, we have:

14x - x^2 = 38

Rearranging the equation to bring it to quadratic form:

x^2 - 14x + 38 = 0

Now we can solve this quadratic equation. We can either factorize it or use the quadratic formula. However, upon examining the equation, we find that it doesn't factorize easily. Therefore, we'll use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

For our quadratic equation, the coefficients are:

a = 1, b = -14, c = 38

Substituting these values into the quadratic formula, we have:

x = (-(-14) ± √((-14)^2 - 4(1)(38))) / (2(1))

x = (14 ± √(196 - 152)) / 2

x = (14 ± √44) / 2

x = (14 ± 2√11) / 2

Simplifying further, we have:

x = 7 ± √11

So we have two possible values for x: 7 + √11 and 7 - √11.

To find the corresponding values of y, we can substitute these values of x back into Equation 1:

For x = 7 + √11, y = 14 - (7 + √11) = 7 - √11

For x = 7 - √11, y = 14 - (7 - √11) = 7 + √11

Therefore, the two real numbers that have a sum of 14 and a product of 38 are (7 + √11) and (7 - √11).

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A pediatrician was interested in the weights of all 14-year-olds in the state of Texas to determine outliers in the data. She gathered data from a random sample of 2,000 pediatricians in the state and wanted to create an appropriate graphical representation for the data.

Which graphical representation would be best for her data?

Bar graph
Circle graph
Histogram
Stem-and leaf plot

Answers

The best graphical representation for the pediatrician's data would be a histogram. A histogram is a type of graph that shows the distribution of continuous data. In this case, the weights of the 14-year-olds would likely be continuous data. A histogram would allow the pediatrician to visualize the distribution of weights and identify any outliers or unusual patterns.

Answer:histogram

Step-by-step explanation:

pls help me with this

pls help me with this

Answers

Answer:

x-intercept coordinates:  (9, 0)

y-intercept coordinates:  (0, 21)

Step-by-step explanation:

Put the equation in slope-intercept form, y = mx + b

3y = -7x + 63     divide both sides by 3

y = -7/3x + 21

y-intercept = b = 21

y-intercept coordinates:  (0, 21)

Find x intercept by setting y = 0 and solving for x:

0 = -7/3x + 21

7/3x = 21

x = 21(3/7) = 9

x-intercept coordinates:  (9, 0)

Mason Bought 18 fish to fill up his new 30 gallon aquarium. If fish cost 1 .89 each how much did he spend all togetherA 17.01B 19.89C 34.02D 56.70

Answers

We have the following:

In this case, to know the value of the total expense, we must multiply the price of the fish by the amount of fish that he bought like this:

\(18\cdot1.89=34.02\)

Therefore, the answer is the option C. 34.02

if a,b, and c are three different numbers, which of the equations have no solution

Answers

The equation that has no solution will be ax + b = ax + c. Then the correct option is A.

What is the solution to the equation?

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

If a, b, and c are three different numbers.

Let's check all the options, then we have

A: ax + b = ax + c, the variable gets eliminated, then the equation has no Solution.

B: ax + b = ax + b, the variable gets eliminated and constant too, then the equation has infinitely many Solutions.

C: ax = bc + c, the variable dost not get eliminated, then the equation has a unique Solution.

The equation that has no solution will be ax + b = ax + c. Then the correct option is A.

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The complete question is given below.

If a, b, and c are three different numbers, which of the following equations has NO solutions?

A: ax + b = ax + c

B: ax + b = ax+b

C: ax = bc + c

Daltonhas$300inasavingsaccountthatearns6%annually.Theinterestisnotcompounded.Howmuchwillhehaveintotalin3years?

Answers

Answer:

Step-by-step explanation:

Divide the number you wish to increase by 100 to find 1% of it.

Multiply 1% by your chosen percentage.

Add this number to your original number.

There you go, you have just added a percentage increase to a number!

What is the surface area? 10 mm
7 mm
4 mm

Answers

Answer:

Perhaps 270 mm^2, if it is a box.

Step-by-step explanation:

What shape is this?  A box?

If a box:

There are 6 faces:

1.   2 ends:  7mm x 4mm  = 28 mm^2/end

2.  2 sides:  10mm x 7mm  = 70 mm^2/side

3.   top and bottom:  10mm x 4 mm = 40 mm^2/each

====

Totals:

1.    56 mm^2

2.  140 mm^2

3.   80 mm^2

Total  270 mm^2

data visualization is important because: group of answer choices people can synthesize data better than visual representation none of these are correct everybody likes charts and graphs 90% of the information transmitted to the brain is visual

Answers

Data visualization is important because option (a) 90% of the information transmitted to the brain is visual.

Data visualization is important because the human brain is wired to process visual information more efficiently than text or numbers. Research shows that about 90% of the information transmitted to the brain is visual, and we can process visual information much faster than text.

Therefore, data visualization is an effective way to represent complex data in a way that is easy to understand and analyze. It allows us to identify patterns, trends, and outliers that might be difficult to detect in raw data.

Therefore, the correct option is (a) 90% of the information transmitted to the brain is visual.

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The given question is incomplete, the complete question is:

Data visualization is important because: a) 90% of the information transmitted to the brain is visual b) None of these are correct c) People can synthesize data better than visual representation d) Everybody likes chart and graphs

I need the answer and show work

I need the answer and show work

Answers

Answer:

It would make sense because he went in to debt after buying that English book. 28 - 34 would put you in debt by 6 dollars.

Step-by-step explanation:

I need the answer and show work

a market research firm conducts telephone surveys with a historical response rate. what is the probability that in a new sample of telephone numbers, at least individuals will cooperate and respond to the questions? in other words, what is the probability that the sample proportion will be at least ? calculate the probability to decimals

Answers

The probability that the sample proportion will be at least 0.375 = 0.8461

Here, te market research firm conducts telephone surveys with a 40% historical response rate.

so, p = 0.4

here, the sample of 400 telephone numbers is n = 400

and \(\hat{p}=0.375\)

The standard deviation would be,

\(\sigma=\sqrt{\frac{p(1-p)}{n} } \\\\\sigma=\sqrt{\frac{0.4(1-0.4)}{400} } \\\\\sigma=0.0245\)

Now we calculate z score :

\(z=\frac{0.375-0.4}{0.0245} \\\\z=-1.0204\)

The probability that the sample proportion will be at least 0.375:

P(\(\hat{p}\) ≥ 0.375)

= P(z > -1.0204)

= 0.8461

Therefore, the required probability is: 0.8461

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The complete question is;

A market research firm conducts telephone surveys with a 40% historical response rate. What is the probability that in a new sample of 400 telephone numbers, at least 150 individuals will cooperate and respond to the questions? In other words, what is the probability that the sample proportion will be at least 150/400 = .375?

Calculate the probability to 4 decimals.

I don’t understand this question! Please help me find the answer they are compound shapes

I dont understand this question! Please help me find the answer they are compound shapes

Answers

The area of the shaded region in this problem is given as follows:

995.44 cm².

How to calculate the area of a circle?

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is given as follows:

r = 21 cm.

Then the area of the entire circle is given as follows:

A = π x 21²

A = 1385.44 cm².

The right triangle has two sides of length 39 cm and 20 cm, hence it's area is given as follows:

A = 0.5 x 39 x 10

A = 390 cm².

Then the area of the shaded region is given as follows:

1385.44 - 390 = 995.44 cm².

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The Thompson family uses up a 1/2-gallon jug of milk every 3 days. At what rate do they drink milk?

Answers

Answer:

The Thompson family uses up a 1/2

gallon jug of milk every 3 days.

rate drink milk per day

Solution =1/2÷3

= 1/6

So the answer is 1/6

Step-by-step explanation:

Hope you have a great/Amazing day.

If F(x) = x - 7 and G(x) = x3, what is G(F(x))

Answers

\(g(f(x))=(x-7)^3=x^3 - 21 x^2 + 147 x - 343\)

please help with this problem.

please help with this problem.

Answers

10+14+16=40
Perimeter=40
(I’m not too sure though I haven’t done perimeter in ages)

Dominic wants to find the distance between his house on one side of the park and his school on the other side. He marks off a third point forming a right triangle, as shown in the diagram. The distances in the diagram are measured in yards. Use the Pythagorean Theorem to find the distance from Dominic’s house to the school.

Dominic wants to find the distance between his house on one side of the park and his school on the other

Answers

Answer: 500 yd

Step-by-step explanation: took the test

Can some please turn these into equations

Can some please turn these into equations

Answers

Answer:

1) y = -1/6x + 0

5) y = 1x - 9

I can’t answer all of them for you because there’s too many for me and my phone is about to go dead, but I did the first of the two types of problems and under I explain how to solve them.

Step-by-step explanation:

For numbers 1 through 4, you just need to remember that slope is the same as rise over the run, which is the same as the change in y divided by the change in x. Knowing this, create a table like shown in the first picture to find the slope and y intercept for your equation. After filling in what you know, find the change in x. Now you know the change in x, make something like the second picture. Fill in what you know. Now use what you learned about equivalent fractions in elementary school to find the change in y. Now that you know the change in y, go back to the table and fill in the ?. You can see the erased ? in one of the boxes in my graph in the third picture(my example using question 1). Now, create an equation with the info you now know.

For questions 5 through 8, use the equation in picture four to find the slope. When you know the slope, follow off the instructions for 1-4.

Can some please turn these into equations
Can some please turn these into equations
Can some please turn these into equations
Can some please turn these into equations

can someone help me with this final please

can someone help me with this final please

Answers

Answer:

Option 1.) y = 125°

Step-by-step explanation:

We know that sum of exterior angles of any polygon is 360°. Therefore we can say;

70° + 60° + 65° + 40° + y° = 360°

235° + y° = 360°

y = 360 - 235

y = 125°

Therefore the measure of ∠y = 125°

Hope this helps!

7. Due to a severe drought, a population of lions is decreasing at a rate of 3.5% per year. Scientists have noticed 80 lions in the area. After how many years will this population of 80 lions drop below 15 lions if this rate decrease continues? ​

Answers

Answer:

  47 years

Step-by-step explanation:

The population decay can be modeled by an exponential function of the form ...

  p = a·b^t

where a is the initial population, and b is the growth factor.

__

The growth factor is related to the given growth rate by ...

  growth factor = 1 + growth rate

  b = 1 + (-3.5%) = 1 -0.035 = 0.965

The initial population is given as a=80, so the exponential function is ...

  p = 80·0.965^t

__

We want to find the value of t when p=15. This is solved using logarithms.

  15 = 80·0.965^t

  15/80 = 0.965^t . . . . . . . . . . . divide by 80

  log(15/80) = t·log(0.965) . . . . take logs

  t = log(15/80)/log(0.965) ≈ 46.985 . . . . divide by the coefficient of t

After 47 years, the population will drop below 15 lions.



Find the value of each expression in radians to the nearest thousandth. If the expression is undefined, write Undefined. sin⁻¹(-5π/7)

Answers

Answer:

  undefined

Step-by-step explanation:

You want the angle whose sine is -5π/7.

Sine

The sine function only gives values in the range [-1, 1], so the sine of a real angle cannot be -5π/7 ≈ -2.244.

  sin⁻¹(-5π/7) is undefined

__

Additional comment

Actually, the usual functions (log, trig, root) have definitions for all complex numbers. The given expression evaluates to approximately -1.572 +1.448i, a complex number. (The usual vertical asymptotes still apply.)

<95141404393>

Find the value of each expression in radians to the nearest thousandth. If the expression is undefined,

for the matrix samplematrix=[1, 2, 3; 4, 5, 6; 7, 8, 9], to produce samplematrix = [1, 4, 7, 5, 8, 3, 6, 9] with the command samplematrix([n]) = [ ], what should the value of n be?

Answers

To produce `samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]` with the command `samplematrix([n]) = [ ]`, the value of `n` should be 2.

To produce `samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]` with the command `samplematrix([n]) = [ ]`, the value of `n` should be 2. Here's the explanation: Given `samplematrix=[1, 2, 3; 4, 5, 6; 7, 8, 9]`, the command `samplematrix([n]) = [ ]` would remove the nth row from the matrix and leave an empty row in its place.

For example, if `n = 2`, then the command `samplematrix([n]) = [ ]` would remove the second row and leave an empty row in its place.

The resulting matrix would be:`samplematrix = [1, 2, 3; ; 7, 8, 9]`

Notice that there is an empty row in the middle because the second row was removed.

Next, to produce the desired matrix `samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]`, we need to concatenate the rows of the modified `samplematrix` matrix in a specific order. The order is the first row, then the third row, and finally the second row. So, we can use the following code to achieve this:

result = [samplematrix(1,:); samplematrix(3,:); samplematrix(2,:)]

The resulting `result` matrix would be:`result = [1, 2, 3; 7, 8, 9; 4, 5, 6]`

We can then use the colon operator to reshape the matrix into a row vector, like this:`samplematrix = result(:)'`The resulting `samplematrix` vector would be:`samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]`

Therefore, to produce `samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]` with the command `samplematrix([n]) = [ ]`, the value of `n` should be 2.

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In an online feedback comment section, the probability that a comment is positive is 10% (independent of any other comments already present). If there are 10 comments, what is the probability that at least 2 of the comments are positive?

Answers

To find the probability that at least 2 of the comments are positive, we can use the concept of complementary probability. We'll find the probability that fewer than 2 comments are positive and then subtract it from 1 to get the desired probability.

Let's consider the following scenarios:

1. No comments are positive (all 10 comments are negative).

2. Exactly 1 comment is positive.

Let's calculate the probability of each scenario:

1. Probability of no comments being positive:

P(No positive comments) = (0.9)^10 = 0.3487 (rounded to four decimal places)

2. Probability of exactly 1 comment being positive:

P(Exactly 1 positive comment) = 10 * (0.1)^1 * (0.9)^9 ≈ 0.3874 (rounded to four decimal places)

To find the probability that at least 2 comments are positive, we subtract the sum of the above probabilities from 1:

P(At least 2 positive comments) = 1 - P(No positive comments) - P(Exactly 1 positive comment)

                             = 1 - 0.3487 - 0.3874

                             ≈ 0.2639 (rounded to four decimal places)

Therefore, the probability that at least 2 of the comments are positive is approximately 0.2639 or 26.39%

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How do you use implicit differentiation to find an equation of the tangent line to the curve x^2+2xy−y^2+x=39 at the given point (5, 9)?

Answers

On using the implicit differentiation the equation of the tangent line the the curve "x² + 2xy - y² + x = 39" at the point (5,9) is 29x - 8y = 73  .

The equation of the curve is  x² + 2xy - y² + x = 39 ;

to find the equation of the tangent , we differentiate the curve with respect to "x" ,

On differentiation ,

We get ,

⇒ d/dx (x² + 2xy - y² + x) = 0 ,

⇒ 2x + 2y + 2x(dy/dx) - 2y(dy/dx) + 1 = 0 ,

⇒ dy/dx = (1 + 2x + 2y)/(2y - 2x) ....equation(1)

We know that the equation of tangent at the point (x₀,y₀) is given as : ⇒ y = y₀ + y'(x₀)(x - x₀) ...equation(2)

where x₀ = 5 and y₀= 9

So from equation(1) , y'(x₀) = (1 + 10 + 18)/(18 - 10) = 29/8 ,

Then equation(2) becomes , y = 9 + 29/8(x - 5) ,

⇒ y = (29/8)x - (73/8) ,

⇒ 29x - 8y = 73 .

Therefore , the equation of the tangent line is 29x - 8y = 73 .

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The given question is incomplete , the complete question is

How do you use implicit differentiation to find an equation of the tangent line to the curve x² + 2xy - y² + x = 39 at the given point (5,9)?

Please solve this and show the steps on how you got your answer

Please solve this and show the steps on how you got your answer

Answers

well, let's take a look at the tickmarks on the triangle, the tickmarks mean that AC = CB, both AC and CB stemming out of vertex C, and both twin sides will make twin angles at the "base" or namely ∡A = ∡B, that means that 34 = x - 5, let's also recall that the sum of all interior angles in a triangle is 180°, so

\(34=x-5\implies \boxed{39=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle A}{34}~~ + ~~\stackrel{\measuredangle B}{34}~~ + ~~\stackrel{\measuredangle C}{4y}~~ = ~~180\implies 68+4y=180 \\\\\\ 4y=112\implies y=\cfrac{112}{4}\implies \boxed{y=28}\)

Answer:

y = 28

Step-by-step explanation:

The dashes on line segments AC and BC indicate that the line segments are equal in length.

Therefore, as the triangle has two sides of equal length, it is an isosceles triangle.

The base angles of an isosceles triangle are equal, therefore ∠A = ∠B.

Interior angles of a triangle sum to 180°.  

Therefore:

⇒ ∠A + ∠B + ∠C = 180°

⇒ 34° + 34° + 4y° = 180°

⇒ 68° + 4y° = 180°

⇒ 4y° = 112°

⇒ y = 112° ÷ 4°

⇒ y = 28

Other Questions
What is -2 17/18 as a decimal? Where did Crispin ask his guide to take him? Explain about how the professional partnership that was established as a limited liability partnership should be dissolved. The Limited Liability Partnerships Act of 2012 is obtainable for reference. Which of the following is the main purpose of the Federal Reserve System?O Control the nation's money supply.Help new banks to open for business.Set the nation's yearly budget priorities.Provide funds for executive branch salaries. The length of a rectangle is 5 5/3 inches. the width of the rectangle is half of its length. what is the perimeter of the rectangle? (a) 16.8 inches (b) 8.4 inches (c) 2.8 inches (d) 15.68 (question and answers attached) Which of the following best describes the economy of country A between 3 years and 51.The country was at war2.Prices were really high3.A period of economic decline4.A period of economic growth Which is an example of measurement that considers velocity? A the size of a standard basketball B the speed of baseball pitch C the placement of players on a field D the study of how records get broken Reduce -34\87 to lowest terms 5. Spiderman lands safely but quickly realizes that he is now in sight of a turret filled with armed henchmen. The top of that tower is 64 feet tall and the angle of depression from the guards to Spiderman is 56 degrees. What is the horizontal distance from the guards to Spiderman? 6. Knowing what he must do, Spiderman quickly evades the attacks of the armed guards and jumps into the air, using all of his powers he goes as fast as he can. Knowing he is weak and cannot go much longer he looks for safety. Below him he sees a small house he can hide in. He is 52 feet above the ground and the angle of depression from him and the ground is 15 degrees. How far is the direct distance from Spiderman to the ground? to Allison DIGI I dont understand what I am supposed to do with this True or false. Atoms of a given element will have the same mass. You and a friend each start with 25 coins (50 coins total). On each turn a dice is rolled. If the number on the dice is even, then your friend gives you 1 coin. If the dice is odd, then you give your friend 1 coin. A player wins once they have collected all the coins. Load the file data6.mat. The matrix P50 in the file is the transition matrix P for the coin game.(a) Find the probability distribution after 201 rolls of the dice. In other words, find the state vector X201 where Xo = [0, ...,1,...,07 is the initial state vector with 1 at index 26 and all other entries 0. Store the vector X201 as Ex1Avec. We can visualize the state vector as a bar plot:>> bar (Ex1Avec), xlabel('State'), ylabel('Probablity')>> title('State Vector: 201 Rolls') resources are also known as a. factors of productivity. d. factors of output. b. factors of production. e. elements of growth. c. elements of productivity. In a previous unit, you learned that two lines of Hebrew poetry can follow either a synonymous, synthetic, antithetical, emblematic, or climactic form of parallelism. Use your Bible to identify which type of parallel form is used in the following verses of Psalm 22. You may wish to refer to Unit 6, The Psalms, for help with this activity.Read Psalm 22:10. Identify the type of parallel form that is used.SyntheticAntitheticalEmblematicSynonymous(only one answer cause its not a multi choice question) Calculate the consumers' surplus at the indicated unit price p for the demand equation p = 82q^1/3;p=6. Use Pivot Chart and Pivot tables to find information about these customersFind the percentage of homeowners, broken down by age group, marital status, and gender (20 Points)Find the percentage married, broken down by age group , homeowner status, and gender (20 Points)Find the average salary broken down by age group , gender, marital status and homeowner status (20 points)Find the percentages in the customer spending history broken down by number of children and whether they live close to the store (10 points)What is the percentage receiving the various number of catalogs for each value of the customer spending history (10 Points)Use this link of the excel https://1drv.ms/x/s!AvQITuN6GvNfiU6z89-i6sJlZ4QK?e=M7Ofnh Who is credited with establishing the genre of realistic fiction How many grams are contained in 0.54 moles of calcium? Which shape has faces, edges, and vertices? A. sphere B. cone C. pyramid D. cylinder Find a general solution of the following non-homogeneous ODE using MATLAB. i) xy"-4xy' +6y=42/x ii) ii) xy' +2y=9x