Please help me I need help urgently please. Ben is climbing a mountain. When he starts at the base of the mountain, he is 3 kilometers from the center of the mountains base. To reach the top, he climbed 5 kilometers. How tall is the mountain?

Please Help Me I Need Help Urgently Please. Ben Is Climbing A Mountain. When He Starts At The Base Of

Answers

Answer 1

Answer: 4

Step-by-step explanation:

lets call the height y

3^2 + y^2 = 5^2

9+y^2 = 25

y^2 = 25 = 9

y^2 = 16

y = 4


Related Questions

3. classify each as nominal-level, ordinal-level, interval level, or ratio-level measurement. a. pages in the city of cleveland telephone book. (1 mark) b. rankings of tennis players. (1 mark) c. weights of air conditioners. (1 mark) d. temperatures inside 10 refrigerators. (1 mark) e. salaries of the top five ceos in the united states. (1 mark) f. ratings of eight local plays (poor, fair, good, excellent). (1 mark) g. times required for mechanics to do a tune-up. (1 mark) h. ages of students in a classroom. (1 mark)

Answers

Q1

Nominal - D

Ordinal-  B, G

Ratio - A, C, E, F

Q2

Quantitative- A, C, D, G

Qualitative -B, E, F, G

Q3

Simple Random - A, C

Systematic Sample - B

Nominal measures are the most accurate and meaningless, as they only show the "characteristics" or "identities" that we are interested in. In other words, in a nominal variable, a number just gives the attribute a unique "name". In this case, the number is just a label.

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A recent article claims that the state of Illinois has low tuition rates for its colleges and universities. Cate decides to research the cost of tuition for different colleges in Illinois. The average tuition in Illinois is $28,950 with a standard deviation of $3,470. Which type of inference test should Cate use

Answers

One sample Z Test is used by cate.

According to the statement

The average tuition in Illinois is $28,950 with a standard deviation of $3,470.

Assuming we have a large enough sample, since we are testing one group's mean relative to a hypothesized value, this would be a one-sample z-test.

So, One sample Z Test is used by cate.

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Parallel cousins are found in the iroquois system of kinship and are defined as:________

Answers

Parallel cousins are found in the iroquois system of kinship and are defined as bifurcate merging.

Parallel cousins, or the offspring of one's mother's or father's brothers or sisters, were frequently referred to and regarded in the same way as one's siblings. Contrarily, cross-cousins, or the offspring of one's mother's brothers or father's sisters, were frequently regarded as the best source of children.

Bifurcate merging is the underlying idea of the Iroquois system. The ego divides his family into those on his mother's side and those on his father's side (bifurcation) and combines his father with his brother (A) and his mother with her sister (B) .

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If a is an obtuse angle in a triangle and sin a = , calculate the exact value of sin 2a.

Answers

Answer:

Step-by-step explanation:

cos A = √( 1 - (5/13)²) = √( 1 - 25/169) = √(144/169) = - 12 /13

in 2 A = 2 sin A cos A

sin 2 A = 2 *5/13 ( - 12/13 ) = - 120 / 169

the answer is -120/169

What is the area of the shape?

Answers

Answer: 21 units²

Step-by-step explanation:

Since there is a pair of parallel sides, this figures is a trapezoid. The formula for the area of a trapezoid is [tex]\frac{1}{2}(a+b)h[/tex], where a and b are the parallel sides and h is the height.

Here, a and b are 5 and 9, while 3 is the height. Let's put all 3 values into the formula.

[tex]A=\frac{1}{2}(5+9)*3[/tex]

[tex]A=\frac{1}{2}(14)*3[/tex] [Adding in the parentheses]

[tex]A=7*3[/tex] [Multiplying one-half by 14]

[tex]A=21[/tex] [Multiplying 7 and 3]

The area is 21 units².

Type the correct answer in each box.
Compete the statement about these similar cylinders.

Answers

Using proportions to find the radius of figure 2, we have that:

The circumference of the base of figure 2 is of [tex]4\pi[/tex] inches.The area of the base of figure 2 is of [tex]4\pi[/tex] square inches.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The rule of three to find the radius of figure 2 is given as follows:

[tex]\frac{5}{9} = \frac{r}{4.5}[/tex]

Applying cross multiplication:

9r = 4 x 4.5

r = 4 x 4.5/9

r = 2 in

What is the circumference of a circle?


The circumference of a circle of radius r is given by:

[tex]C = 2\pi r[/tex]

In this problem, we have that r = 2 inches, hence:

[tex]C = 2\pi \times 2 = 4\pi[/tex]

What is the area of a circle?

The area of a circle of radius r is given by pi multiplied by the radius squared, as follows:

[tex]A = \pi r^2[/tex]

Hence:

[tex]A = 4\pi[/tex]

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Answer: First one is 5, Second is 6.25

Step-by-step explanation: Correct on Edmentum/Plato

A magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the ​respondents, ​% chose chocolate​ pie, and the margin of error was given as percentage points. Describe what is meant by the statement that​ "the margin of error was given as percentage​ points."

Answers

The statement indicates that the interval 12​%±5​% is likely to contain the true population percentage of people that prefer chocolate pie.

According to the statement

we have a given that the Among the 1000 respondents,

12​% chose chocolate​ pie, and the margin of error was given as

±5 percentage points.

and we have to explain the statement that the margin of error was given as ±5 percentage​ points.

We know that the interval is a set of real numbers that contains all real numbers lying between any two numbers of the set.

And this statements also indicates the interval between the like and unlike respondents of chocolate pie.

So, this statement indicates that the interval 12​%±5​% is likely to contain the true population percentage of people that prefer chocolate pie.

So, The statement indicates that the interval 12​%±5​% is likely to contain the true population percentage of people that prefer chocolate pie.

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What is the number of degrees in the measure of the smaller obtuse angle formed by the hands of a standard clock at 2:48pm

Answers

Answer: 156 degrees

Step-by-step explanation:

if there are 30 items to vote on in the local election, 240 people will choose to vote. For every batch of 3 items added to the ballot, 10 fewer people will vote. If all people who vote cast votes on every item, how many items should be placed on the ballot to maximize the total number of votes cast on all items

Answers

2 items should be placed on the ballot to maximize the total number of votes cast on all items.

According to the statement

items on which people vote = 30

people who will vote = 240

batch containing items = 3

number of batches formed = 10

now we find the number of items placed on ballot to maximize the number of votes.

we find the average number by each items got the vote.

Average = items in batch / total votes

Average = 3/240

but if we add 2 items in the ballot then average become half.

So, 2 items should be placed on the ballot to maximize the total number of votes cast on all items.

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PLEASE HELP FAST!!! Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.

Answers

The total surface area of the composite figure is calculated as 444 m².

What is the Surface Area of the Composite Figure?

Total surface area = surface area of the bottom rectangular prism + surface area of the top triangular prism - area of the shared surface.

Surface area of the triangular prism = (S1 + S2+ S3)L + bh = (16 + 10 + 10)5 + (6)(16) = 276 m²

Rectangular prism surface area = 2(wl + hl + hw) = 2(5×16 + 4×16 + 4×5) = 328 m²

Area of shared surface = 2(16)(5) = 160 m²

Total surface area = 328 + 276 - 160 = 444 m².

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m
A math teacher gives a quiz. Each question on the quiz is
worth 8 points. A score of 75 is a passing grade.
Which number of correct answers will result in a passing
grade?

Answers

From statement equation, the number of correct answers will result in a passing grade is 9.3

What number of questions is required for passing grade ?

Given that each question on the quiz is worth 8 points.

Also given a score of 75 is a passing grade.

Let the number of correct answered questions be x

Thus the total score of the correct answers is 8x

The statement equation is -

⇒ 8x = 75

⇒ x = 75/8 = 9.3

∴  x ≈ 9

Therefore, from statement equation, the number of correct answers will result in a passing grade is 9.3

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Which is the graph of the function f() = x2 + 2x - 6?

Answers

The x-intercepts from the graph are -3.646 and 1.646 with the parabolic curve facing upwards

Quadratic graph

Quadratic functions are functions that has a leading coefficient of 2.

According to the question, we are to graph the quadratic function f(x) = x^2 + 2x - 6. The curve will be parabolic in nature and facing upwards since it is a quadratic function.

The x-intercepts from the graph are -3.646 and 1.646 as shown in the attached graph.

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Which side lengths form a right triangle?
Choose all answers that apply

Answers

Answer:

A and B

Step-by-step explanation:

A : (a²+b²=c²) 11²+13²=290 (c²); c=√290

B : 7²+24²=625; c=√625=25

C : 2²+5²=29≠7²

According to the Pythagorean triple, the side lengths that will form a right triangle are:

A. 11, 13, √290

B. 7, 24, 25

What is the Pythagorean Triple?

The Pythagorean triple are three set of sides that can form a right triangle if the square of the longest side equals the sum of the squares of the other two smaller sides.

11² + 13² = (√290)²

290 = 290 [correct]

7² + 24² = 25²

625 = 625 [correct]

2² + 5² = 7²

29 ≠ 49 [correct]

Therefore, the side lengths that will form a right triangle are:

A. 11, 13, √290

B. 7, 24, 25

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Total area=
Help me please thanks so much

Answers

The total area of the regular pentagon prism is 485 square units

How to determine the surface area?

The given parameters are:

Base area = 50

Height = 11

Base = 7

Start by calculating the total area of the 5 sides using

Sides = n * Height * Base

Sides = 5 * 11 * 7

Sides = 385

The total surface area is

Total = 2 * Base area + Sides

This gives

Total = 2 * 50 + 385

Evaluate

Total = 485

Hence, the total area of the regular pentagon prism is 485 square units

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Which is the graph of linear inequality 6x+2y>-10?

Answers

Answer:

we have

6x+2y > -106x+2y>−10

Isolate the variable y

Subtract 6x6x both sides

2y > -6x-102y>−6x−10

Divide by 22 both sides

y > -3x-5y>−3x−5

The equation of the line of this inequality is

y=-3x-5y=−3x−5

The slope is negative and is equal to m=-3m=−3

The y-intercept is the point (0,-5)(0,−5) ----> value of y when the value of x is equal to zero

The x-intercept is the point (-5/3,0)(−5/3,0) ----> value of x when the value of y is equal to zero

The solution of the inequality is the shaded area above the dotted line

Using a graphing tool

see the attached figure

determine which two of the three given triangles are similar. Find the scale factor for the pair.

Answers

DEF and GHJ
the scale factor is 2/5

A company’s cost, in dollars, of manufacturing x tablet computers can be represented by 20x + 200. The company’s predicted revenue of selling x tablet computers is 100 + 30x. Write a polynomial expression that represents the profit of selling x tablets. Simplify as much as possible (profit = revenue – cost)

Answers

The polynomial expression that represents the profit of selling x tablets is 10x - 100

Polynomial

Total cost = 20x + 200Predicted revenue = 100 + 30x

profit = revenue – cost

= (100 + 30x) - (20x + 200)

= 100 + 30x - 20x - 200

Profit = 10x - 100

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Which is a solution for the following system of inequalities?
(7x+2y >3
(x-2y <2

Answers

The solution for the system of linear inequalities 7x+2y > 3 and x-2y < 2 are x = 5/8 and y = -11/16

What are linear inequalities?

Linear inequalities are inequalities that have constant average rates of change, slope or gradient

How to determine the solution to the system of inequalities?

A system of linear inequalities is a collection of at least two linear inequalities.

In this case, the system of linear inequalities is given as

7x+2y > 3

x-2y < 2

Rewrite the inequalities as equations

7x+2y = 3

x-2y = 2

Make x the subject in the second equation, by adding 2y to both sides of the equation

x - 2y +2y = 2 + 2y

This gives

x = 2 + 2y

Substitute x = 2 + 2y in 7x+2y = 3

7(2 + 2y) +2y = 3

Expand the brackets

14 + 14y + 2y = 3

Evaluate the like terms

16y = -11

Divide both sides by 16

y = -11/16

Substitute y = -11/16 in x = 2 + 2y

x = 2 - 2 * 11/16

Evaluate the product

x = 2 - 11/8

Evaluate the difference

x = 5/8

Hence, the solution for the system of linear inequalities 7x+2y > 3 and x-2y < 2 are x = 5/8 and y = -11/16

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WILL MAKE BRAINLIEST!! Solve for x

Answers

Answer:

x=17

Step-by-step explanation:

Since they are intersecting lines, 3x=51

x=17

Answer:

x = 17

Step-by-step explanation:

When two lines intersect each other, the opposite angles are identical. Therefore, you can set both angles equal to each other to find the value of "x".

3x = 51

x = 17


Help me please fast

Given (x² − x + 2)(x − 1) = Ax³ + Bx² + Cx + D what is the value of A + D

Answers

Answer:

-1

Step-by-step explanation:

Expanding (x² − x + 2)(x − 1) we get [tex]x^{3} -x^{2} -x^{2} +x+2x-2[/tex]. When we simplify that, we get [tex]x^{3} -2x^{2} +3x-2[/tex] which fits the form Ax³ + Bx² + Cx + D.

We can see that A = 1, B = -2, C = 3, D = -2. Thus A + D = 1 - 2 = -1.

Therefore your answer is -1

Answer:

A + D = -1

Step-by-step explanation:

Given: (x² − x + 2)(x − 1) = Ax³ + Bx² + Cx + D

Step 1: Simplify using the Distributive Property.

[tex]\\\implies (x^2 - x + 2)(x - 1) \\\\\implies x(x^2 - x + 2) + -1(x^2 - x + 2)\\\\\implies x^3 - x^2 + 2x - x^2 + x - 2\\\\\implies \bold{1}x^3 -\bold{2}x^2 + \bold{3}x - \bold{2}[/tex]

Step 2: Determine the value of the coefficients.

[tex]\implies {\sf A} = 1, {\sf B} = -2, {\sf C} = 3, {\sf D} = -2[/tex]

Step 3: Find the value of A + D.

[tex]\implies {\sf A} + {\sf D} \Rightarrow 1 - 2 = \boxed{-1}[/tex]

What elements in domain has the image 5 under function f(x)= 3x+ 2?

plssssssss heeeeeellllllp me
tomorrow is my test T^T​

Answers

Answer:

Step-by-step explanation:

hello

calculate x : 3x+2 =5

means : 3x+2-2 =5-2

3x = 3

so : x = 3/3 =1

1 is the  element in domain has the image 5 under function f(x)= 3x+ 2

A
B
C
D
LO
-5
Y
A'
В'
O
D'
Which rule describes the translation?
(x, y)
(x-8, y - 3)
(x, y)
(x-3, y + 8)
C
(x, y) → (x + 8, y − 3)
O (x, y) → (x + 3, y + 8)

Answers

Answer:

C.  (x,y) ⇒ (x + 8, y − 3)

Step-by-step explanation:

See attached image.

How many five-letter words (technically, we should call them strings, because we do not care if they make sense) can be formed using the letters A, B, C,

Answers

Total number of five letter strings formed by A,B,C and D with repetitions allowed

={4x4x4x4x4 = 4 power 5 = 1024

Now, fix BAD in a string at one place then we have 2 more places to be filled with 4 letters, total number of such strings

=4x4=16

Here, BAD can be at any of the 3 positions,

Hence the total number of strings with BAD in it

= 3 x 16=48

Now, The total number of strings not containing BAD

=1024-48

=976

Using 26 letters, the number of 5-letter words that can be formed when the letters are different is determined as follows: 26P5 = 26 × 25 × 24 × 23 × 22 = 7883600 different words.

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Find the volume of a pyramid with a square base, where the perimeter of the base is 4.1 m and the height of the is pyramid 3.6 m. Round your answer to the nearest tenth of a cubic meter.

I will mark brainlest

Answers

Answer:

Volume = 1.3m³

Step-by-step explanation:

The height of the pyramid (h) = 3.6m

The perimeter of the base = 4.1m

Volume of a pyramid = ?

Formula:-

[tex]\boxed{\sf Volume =\cfrac{1}{3} \: a^2h}[/tex]

So,

Perimeter = 4a

[tex]\sf 4.1=4a[/tex]

[tex]\sf a=1.025[/tex]

Now, let's put the value of a in the formula:-

[tex]\sf V=\cfrac{1}{3} \:(1.025)^{2} (3.6)[/tex]

[tex]\sf 1.26075m^2[/tex]

[tex]\sf \thickapprox 1.3m^3[/tex]

Therefore, the volume of the pyramid is 1.3m³.

WILL MAKE BRAINLIEST!!Determine if the two triangles are congruent if they are state the postulate or theorem that provides they are congruent

Answers

Answer:

Yes they are congruent by SSS criterion

Step-by-step explanation:

AC=DC. (Given in figure)

AB=BD. (Given in figure

BC=BC. (Common)

that means triangle BAC is congruent to triangle BDC by SSS criterion.

write 1/c + 1/d - c-d/cd as a single fraction in its simplest form

Answers

imagine the cd/cd as 1 which is a whole number. then, add the denominators (d+c-cd)/cd

you generate electricity with your own personal wind turbine? That depends on whether you have enough wind on your site. To produce enough energy, your site should have an annual average wind speed of at least 8 miles per
ding to the Wind Energy Association. One candidate site was monitored for a year, with wind speeds recorded every 6 hours. A total of 1114 readings of wind speed averaged 8.019 mph with a standard deviation of 3.813 mph. Youl
I asked to make a statistical report to help the landowner decide whether to place a wind turbine at this site. Complete parts a and b below.

Answers

The 95% confidence interval of the statistics is (7.795, 8.243).

How to illustrate the information?

Based on the information given, the 95% confidence interval will be:

= 8.019 + (1.962 × 3.183/✓1114)

= 8.243 and

= 8.019 - (1.962 × 3.183/✓1114)

= 7.795

In conclusion, the 95% confidence interval of the statistics is (7.795, 8.243).

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Which system of equations below has no solution? y = 4x 5 and y = 4x – 5 y = 4x 5 and 2y = 8x 10 y = 4x 5 and y = one-fourthx 5 y = 4x 5 and y = 8x 10

Answers

Y=4x+5 and y=4x-5 has no solution

What are Linear Equations in two Variables?

The formula for a two-variable linear equation is Ax + By + C = 0, where A and B are the coefficients, C is a constant term, and x and y are the two variables, each with a degree of 1. A linear equation with two variables, for instance, is 7x + 9y + 4 = 0. These two linear equations are referred to be simultaneous linear equations if we take them into consideration.

Steps

[tex]Y=4x+5\\ Y=4x-5[/tex]

Substitute y=4x+5

[tex][4x+5=4x-5][/tex]

Refine [tex][4x+5=4x-5][/tex]

-10=0

-10=0 is a false ,therefore the system of a equation have no solution

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Find the data set that places 22.6 as an outlier.

2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9

13.6, 31.7, 25.8, 22.6, 18.9, 21.6, 30.5

20.5, 20.8, 21.6, 22.6, 23.7, 24.5, 25.1

22.6, 21.5, 23.7, 22.6, 28.9, 22.6, 20.9

Answers

The data-set that places 22.6 as an outlier is given as follows:

2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9

When a measure is considered an outlier in a data-set?

A measure is considered an outlier in a data-set if it is very far from other measures, especially in these two cases:

If the measure is considerably less than the second smallest value.If the measure is considerably more than the second highest value.

In this problem, he data-set that places 22.6 as an outlier is given as follows:

2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9.

The second highest value is 5.3, which is considerably less than 22.6, hence 22.6 is an outlier in the data-set.

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Find the side length of the equilateral triangle whose area is the square root of 3 cm2

Answers

Here, Given

Area of Equilateral triangle = 3cm2

therefore, we know;

Area of Equilateral triangle =( [tex]\sqrt{3}[/tex]÷4)×[tex]a^{2}[/tex]

so,

3 =( [tex]\sqrt{3}[/tex]÷4)×[tex]a^{2}[/tex]

3÷( [tex]\sqrt{3}[/tex]÷4) = [tex]a^{2}[/tex]

2.63 cm = a .

The area of ​​an equilateral triangle is the area covered by an equilateral triangle on a two-dimensional plane. An equilateral triangle is a triangle with all sides equal and all angles at 60 degrees. The area of ​​the shape is the number of unit squares that fit inside.

Here, "unit" refers to 1, and a unit square is a square with one side. Alternatively, the area of ​​an equilateral triangle is the total amount of space it surrounds in a two-dimensional plane.

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in operations management, the acquisition of goods and services is referred to as logistics. True or false Using interval notation, the domain of f(x) = logb x is _______ and the range is _____________ Match the correct vocabulary term to the era. 1. Due Process2. Religious ToleranceA. Industrial Revolution EraB. Sectionalism / Reconstruction EraC. Reform EraD. Industrial Revolution Era / ReformE. Industrial Revolution Era / Sectionalism Era / Civil War EraF. Sectionalism Era / Civil War EraG. Civil WarH. Sectionalism EraI. Westward Expansion EraJ. Reconstruction Era why was egyptian hieroglyphs impenetrable and mysterious to modern scholars until the 19th century? y=6x-112x+3y=7PLS PLS HELP ASAP!!! Which pair of organisms are most distantly related based onthe phylogenetic tree?A) club fungi and diplomonadsb) red algae and Volvoxhingc) ciliates and brown algaed) chytrids and bread molds which organization offers certification programs for group fitness instructor, health coach, certified medical exercise specialist, and personal trainer? ______ ensures that every person in the target population has a chance of being selected. Multiple Choice Probability sampling Nonprobability sampling Quota sampling Snowball sampling Opportunity sampling ceteris paribus, a consumer that purchases a sports car must consider the price of gasoline because these goods are NH.NO, dissolves spontaneously and endothermically in water at room temperature. What can you deduce about the sign and size of As for this solution process relative to the size and sign of AH? the federal reserve can change the level of member bank reserves as well as reserve requirements. true or false to determine whether a metal lathe that produces machine bearings is properly adjusted, a random sample of 36 bearings is collected and the diameter of each is measured. if the standard deviation of the diameters of the bearings measured over a long period of time is 0.001 inch, what is the approximate probability that the mean diameter of the sample of 36 bearings will fall between (mu- 0.0001) and (mu 0.0001) inch where mu is the population mean diameter of the bearings? incision of a vein: a.ventriculotomy b.vasoconstriction c.phlebotomy d.phlebitis e.phebotomy how would continued expansion of minuteclinics affect revenues of primary care practices? a rod starts from its left side and for 44 cm it is made of iron with a density of 8 g/cm3. the remaining 62 cm of the rod is made of aluminum with a density of 2.7 g/cm3 To understand polarization of light and how to use Malus's law to calculate the intensity of a beam of light after passing through one or more polarizing filters.The two transverse waves shown in the figure(Figure 1)both travel in the +z direction. The waves differ in that the top wave oscillates horizontally and the bottom wave oscillates vertically. The direction of oscillation of a wave is called the polarization of the wave. The upper wave is described as polarized in the +x direction whereas the lower wave is polarized in the +y direction. In general, waves can be polarized along any direction.Recall that electromagnetic waves, such as visible light, microwaves, and X rays, consist of oscillating electric and magnetic fields. The polarization of an electromagnetic wave refers to the oscillation direction of the electric field, not the magnetic field. In this problem all figures depicting light waves illustrate only the electric field.A linear polarizing filter, often just called a polarizer, is a device that only transmits light polarized along a specific transmission axis direction. The amount of light that passes through a filter is quantified in terms of its intensity. If the polarization angle of the incident light matches the transmission axis of the polarizer, 100% of the light will pass through, so the transmitted intensity will equal the incident intensity. More generally, the intensity of light emerging from a polarizer is described by Malus's law:I=I0cos2?,where I0 is the intensity of the polarized light beam just before entering the polarizer, I is the intensity of the transmitted light beam immediately after passing through the polarizer, and ? is the angular difference between the polarization angle of the incident beam and the transmission axis of the polarizer. After passing through the polarizer, the transmitted light is polarized in the direction of the transmission axis of the polarizing filter.If I0 = 20.0 W/m2 , ?0 = 25.0 degrees , and ?TA = 40.0 degrees , what is the transmitted intensity I1? Why is the Scoville scale considered a psychophysical scale?a. Because it measure the relation of velocity to loudness.b. Because it measures a psychological variable (piquancy) as a function of a physical dimension (the amount of capsaicin).c. Because it measures a physical variable (hotness) as a function of a sensory component (how sour the pepper is).d. Because it excludes JNDs from consideration of the consumption of hot peppers. Besides the madrigal, the ________ was another type of secular vocal music that enjoyed popularity during the Renaissance. FILL IN THE BLANK speakers who wear businesslike attire are perceived as being more __________. the pulse rate of a child from ages 6 to 12 years is approximately: