What is the height of the prism if the surface area is 460 mm2?
A.) 13mm B.) 9.6mm C.) 7mm D.) 12mm

Answers

Answer 1

Answer:

C. 7mm

Step-by-step explanation:

the prism is rectangular so the answer is c


Related Questions

SIMPLIFY THE EXPRESSION: 2(4+5v)

PLS HELPPPPP ILL GIVE U BRAINLIEST

Answers

Answer:

8+10v

Step-by-step explanation:

Answer:

8+10v

Step-by-step explanation:

Find the value of X.

Answers

Answer:

x=37

Step-by-step explanation:

We know that the angles in a triangle must add to 180 degrees

So, the three angles: x, 3x-5 and x must be equal to 180

x+3x-5+x=180

Combine like terms

x+3x+x-5=180

5x-5=180

Add 5 to both sides

5x=185

Divide both sides by 5

x=37

Do 3x-5+x+x=180 since all triangles add up to 180 degrees
Then 5x+5=180
Subtract 5 which give you 5x=175
Divide by 5
And your answer is 35 degrees
Then 3x-5+35=180
3x+30=180
Add the 30 to both sides
And divide by 3 on both sides
The other x is 60
X=60,x=35
Hope this helped

Solve the equation if 0 degrees<=x<=360 degrees.
cosx= -1/2

Answers

Answer:

Step-by-step explanation:

hello :

cosx= -1/2    0°≤x≤360°

x = 120°

x=240°

What is the volume of the regular pyramid?
A. 291 cm^3
B. 336 cm^3
C. 168 cm^3
D. 392 cm^3

Answers

Answer:

Option (B) 336 cm³

Step-by-step explanation:

Height of the Regular Pyramid = 14 cm

Base area of the Regular Pyramid = 1/2 * Side²

Area of the Regular Pyramid = 1/3 * Base area * Height

                                                 = 1/3 * 14 * (1/2 * Side²)

                                                 = 1/3 * 14 * (1/2 * 12²)

                                                 = 1/3 * 14 * (1/2 * 144)

                                                 = 1/3 * 14 * 72

                                                 = 24 * 14

                                                 = 336 cm³

So, Option (B) 336 cm³ is the correct Option.

Learn more about Volume here

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Hope my answer helps you ✌️

Mark BRAINLIEST

Which of the following graphs shows a pair of lines that represent the equations with a solution (−2, 5)?

A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 2 units to the right and 5 units down.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 5 units to the right and 2 units down.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 5 places to the left and 2 units up.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 2 units to the left and 5 units up.

Answers

Answer:

Substitution.

Step-by-step explanation:

x+y=2

y=-x+2

2x+(-x+2)=4

x=2

(2)+y=2

y=0

Solution: (2,0)

Answer:

subsitution

Step-by-step explanation:

help me with these 3 questions please. aH-

Answers

Answer:

1) 2/7; 43; 3/7

2) C

3) 30; 30; 10; is not; 10; is not

Step-by-step explanation:

1) y + 4/7 = 6/7

y = 6/7 - 4/7

y = 2/7

17 + b = 60

b = 60 - 17

b = 43

6/7 = m + 3/7

m = 6/7 - 3/7

m = 3/7

2) 11.5 - x = 5.25

x = 11.5 - 5.25

x = 6.25

3) he can substitute 30 for t.

He can then multiply ⅓ by 30 to get a product of 10 (⅓ × 30 = 10).

Since 15 is not equal to 10, Harry's solution is not correct

Finding Leg Lengths. Find the length of a leg in the 45°-45°-90°
triangle.

Answers

Answer:

12. [tex]x=10[/tex]

13. [tex]x=4[/tex]

14. [tex]x=5[/tex]

15. [tex]x=1[/tex]

16. [tex]x=8[/tex]

17. [tex]x=14[/tex]

Step-by-step explanation:

for these i also used the pythagorean theorem ([tex]a^{2}+b^{2}=c^{2}[/tex])

[tex]a[/tex] and [tex]b[/tex] are the legs, [tex]c[/tex] is the hypotenuse

12.

[tex]x^{2} +x^{2} =(10\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =200[/tex]

[tex]x^{2} =100[/tex]

[tex]x=10[/tex]

13.

[tex]x^{2} +x^{2} =(4\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =32[/tex]

[tex]x^{2} =16[/tex]

[tex]x=4[/tex]

14.

[tex]x^{2} +x^{2} =(5\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =50[/tex]

[tex]x^{2} =25[/tex]

[tex]x=5[/tex]

15.

[tex]x^{2} +x^{2} =(\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =2[/tex]

[tex]x^{2} =1[/tex]

[tex]x=1[/tex]

16.

[tex]x^{2} +x^{2} =(8\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =128[/tex]

[tex]x^{2} =64[/tex]

[tex]x=8[/tex]

17.

[tex]x^{2} +x^{2} =(14\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =392[/tex]

[tex]x^{2} =196[/tex]

[tex]x=14[/tex]

How many teenagers should be in the sample

Answers

Answer:

THEREFORE

Step-by-step explanation:

THERE SHOULD BE 7 TEENAGERS IN THE SAMPLE.

HOPE, THIS MAY HELP YOU BRO!!..

The sample should include 18 teenagers, as they constitute 60% of visitors aged 13-19 among the total sample of 30.

To determine the number of teenagers that should be in the sample, we first need to calculate the proportion of teenagers among the total visitors and then apply that proportion to the sample size.

From the cumulative frequency table, we can see that:

- The total number of visitors is 350.

- The number of teenagers (ages 13-19) is 210.

The proportion of teenagers among all visitors is:

[tex]\[\frac{\text{Number of teenagers}}{\text{Total number of visitors}} = \frac{210}{350}\][/tex]

Now, we need to apply this proportion to the sample size of 30 to find out how many teenagers should be in the sample:

[tex]\[\text{Number of teenagers in the sample} = \text{Proportion of teenagers} \times \text{Sample size}\][/tex]

[tex]\[\text{Number of teenagers in the sample} = \frac{210}{350} \times 30\][/tex]

[tex]\[\text{Number of teenagers in the sample} = \frac{3}{5} \times 30\][/tex]

[tex]\[\text{Number of teenagers in the sample} = 18\][/tex]

So, there should be 18 teenagers in the sample.

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (4, 1)?
y − 1 = −2(x − 4)
y – 1 = Negative one-half(x – 4)
y – 1 = One-half(x – 4)
y − 1 = 2(x − 4)

Answers

Given:

The line parallel to the given line containing the points (-3,3) and (-2,1).

Also, the parallel line passes through the point (4,1).

We need to determine the equation of the line in slope - intercept form.

Slope:

Since, the two lines are parallel, then their slopes are equal.

Thus, the slope of the parallel line can be determined using the formula,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substituting the points (-3,3) and (-2,1), we get;

[tex]m=\frac{1-3}{-2+3}[/tex]

[tex]m=\frac{-2}{1}[/tex]

[tex]m=-2[/tex]

Thus, the slope of the line is [tex]m=-2[/tex]

Equation of the line:

The equation of the line can be determined using the formula,

[tex]y-y_1=m(x-x_1)[/tex]

Since, the line passes through the point (4,1), let us substitute the point (4,1) in the above formula, we have;

[tex]y-1=-2(x-4)[/tex]

Thus, the equation of the line is [tex]y-1=-2(x-4)[/tex]

Hence, Option a is the correct answer.

Final answer:

To find the equation in point-slope form of a line parallel to the given line and passing through a point, we use the fact that parallel lines have the same slope.

Explanation:

To find the equation in point-slope form of a line parallel to the given line and passing through the point (4, 1), we need to use the fact that parallel lines have the same slope.

The given line has an equation in point-slope form as y - 1 = -2(x - 4). The slope of this line, which is -2, will be the slope of the parallel line we are looking for.

Using the point-slope form equation y - y1 = m(x - x1), and substituting the values y1 = 1, x1 = 4, and m = -2, we can write the equation as y - 1 = -2(x - 4).

Find the volume of the cylinder the radius is 4ft and the height is 6 ft

Answers

Answer:

about 301.59

Step-by-step explanation:

You use the volume formula and just plug in the numbers! Hope that was helpful :)

Explain how you find the median of a set of date that has an even number of data points.

Answers

Answer:

find the average of the 2 numbers in the direct middle.

Step-by-step explanation:

1,2,4,4,4,4,6,6,6,6,6,6

4,6

4+6=10

10/2=

=5

Please answer~ 25 points :p

Answers

Answer:

y=15

Step-by-step explanation:

We know that the angles in a triangle add to 180 degrees

∠ABC+∠BAC+∠ACB=180

We don't know what ∠ACB is, but we know it is on a straight line with another angle (∠ACD). They are supplementary, and must add to 180

∠ACB+ ∠ACD=180

∠ACB+146=180

Subtract 146 from both sides

∠ACB=34

Now, we know ∠ABC is 4y+8, ∠BAC is 5y+3 and∠ACB is 34, so we can substitute them in

∠ABC+∠BAC+∠ACB=180

4y+8+5y+3+34=180

Combine like terms

4y+5y+8+3+34=180

9y+45=180

Subtract 45 from both sides

9y=135

Divide both sides by 9

y=15

What is the slope of a line perpendicular to y= -5/6x-7?

a. -6/5
b. 6/5
c. -5/6
d. 5/6

Answers

Answer:

it's B

Step-by-step explanation:

Trust me

bonnie runs 1 2/3 times as far as john each day if bonnie runs 5 miles on monday 3 1/2 miles on tuesday and 5 3/4 miles on wednesday how many miles did john run in all those three days

Answers

Answer:

3 miles on Monday

2¹/₁₀ miles on Tuesday

3⁹/₂₀ miles on Wednesday

Step-by-step explanation:

We are told that Bonnie runs 1⅔ (⁵/₃) times as far as John each day

This means that John runs ³/₅ times as far as Bonnie.

MONDAY:

Bonnie runs 5 miles on Monday, therefore, John runs:

³/₅ * 5 = 3 miles

TUESDAY:

Bonnie runs 3½ (⁷/₂) miles on Tuesday, therefore, John runs:

³/₅ * ⁷/₂ = ²¹/₁₀ = 2¹/₁₀ miles

WEDNESDAY:

Bonnie runs 5³/₄ (²³/₄) miles on Wednesday, therefore, John runs:

³/₅ * ²³/₄ = ⁶⁹/₂₀ = 3⁹/₂₀ miles

Please help quickly!

Answers

Answer:  A

Step-by-step explanation:

Answer a

A is the answer because as you see husband age had went up and never stopped

How do the slopes of the lines created by each table compare?

Answers

Answer:

The Correct Answer is B

Step-by-step explanation:

Answer:

The correct answer is B. The slope of the Wholesale table is Three-fourths of the slope of the Public table.

Step-by-step explanation:

A submarine is descending at a rate of 7 feet per second.
The two variables are:
f = the number of feet the sub descends
s = the number of seconds
The independent variable, [Blank 1 ]
causes a change in
the dependent variable [Blank2].
Opionts for BLANK1
A) The number of secounds.
B) The number of feet the sub descends.
C)The rate the sub descends.
D)The color of the sub.

Options for BLANK2
A)The number of secounds
B) The number of feet the sub descends.
C)The rate the sub descends
D)The color of the sub.
(Help!)​

Answers

The independent variable is; A: The number of secounds.

The dependent variable is; B) The number of feet the sub descends.

What is the independent and dependent variable?

A dependent variable depends on another variable in a given data while an independent variable does not depend on any other variable.

We are told that the submarine is descending at a rate of 7 ft/s. Now, this means that for every second, he descends at a rate of 7ft. Thus, the more the number of seconds, the more the distance covered.

Thus, the number of feet depends on the time taken in seconds and such the independent variable is the the number of seconds while the dependent variable is the number of feet the sub descends.

Read more about variables at; https://brainly.com/question/3764906

Answer:

Step-by-step explanation:

Which statements are true regarding the sequence below? Check all that apply.
It can be represented using the formula f(x + 1) = 5 (f) when f(1) = 10.
It can be represented using the formula f(x) = 4 6 *.
It can be represented using the formula fx) = 10 (6)*-.
The domain of the sequence is all real numbers.
The range of the sequence is all natural numbers.

Answers

It’s a and c

Step-by-step explanation:

The true statements about the given geometric sequence are as follows:

A) It can be represented using the formula f(x + 1) = 6/5(f(x)) when f(1) = 10/3.

C) It can be represented using the formula f (x) = 10/3(6/5)/\x-1

What is geometric series?

The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The given sequence is as follows:

10/3, 4, 24/5, 144/25, ...

The sequence is a geometric sequence with a common ratio of 6/5.

The first term is 10/3, so we can use the formula f(x + 1) = (6/5)(f(x)) to represent the sequence.

We have

f(x) = 10/3

Also, for f(x+1) we can have

x = 1,

f(1)= 10/3

f(2)= 4

So, f(x + 1) = 6/5(f(x))

Thus, the correct options are A and C.

Learn more about geometric series here:

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#SPJ7

The complete question is as follows:

Which statements are true regarding the sequence below? Check all that apply.

10/3, 4, 24/5, 144/25, ...

A) It can be represented using the formula f(x + 1) = 6/5(f(x)) when f(1) = 10/3.

B) It can be represented using the formula f (x) = 4 (6/5) /\x.

C) It can be represented using the formula f (x) = 10/3(6/5)/\x-1

D) The Domain of the sequence is all real numbers

E) The range of the sequence is all natural numbers.

Hola cockeroaches, answer this again

Answers

Answer:

5- 48

6- 1.5

7-324

Step-by-step explanation: You have to plug in the numbers for the variables

a times c = 12 times 4 =48

1/2 times B= 1/2 times 3= 3/2 = 1/5

A times b times d = 12 times 3 times 9 = 324

Translate this phrase into an algebraic expression:
500 increased by twice Matt's savings

Use the variable m to represent Matt's savings.

Answers

Answer:

  500 +2m

Step-by-step explanation:

  500 "increased by" "twice Matt's savings"

translates to ...

  500            +                     2m

__

Your algebraic expression is ...

  500 +2m

Answer:

500 + 2m

Step-by-step explanation:

m represents Matt's savings. So 2m is twice that.

500 increased  by that means add them, so you get 500 + 2m

Consider this equation:
-2x - 4 + 5x = 8
Generate a plan to solve for the variable. Describe the
steps that will be used.
Combine like terms

Answers

Answer:

x=4

Step-by-step explanation:

Answer:

Solve for the (number or thing that changes), so you need to (separate far from others)/get x by itself

-2x - 4 + 5x = 8 First I want to combine like terms (-2x and 5x)

-4 + 3x = 8 (Add 4 on both sides)

3x = 12 Then divide 3 into both sides to get x by itself

x = 4

Combine like terms (add the 5x to the -2x to get 3x). Move the -4 to the other side to get 3x= 12. Divide both sides by 3 to get x=4. Apply the addition property of (a state where all things are equal), Apply the division property of (a state where all things are equal) to divide both sides by 3, Finally, check the solution by substituting 4 into the original equation.

*PLEASE MAKE TEXT INTO OWN WORDS IF POSSIBLE

The circumference of a hubcap of a tire is 81.58 centimeters. Find the area of this hubcap

Answers

Answer:

Step-by-step explanation:

Answer:

About 530cm²

Step-by-step explanation:

C=2×pi×radius

81.58=2×3.14×radius

81.58=6.28r

81.58÷6.28=6.28r÷6.28

About 12.99cm is radius.

A=pi×radius²

A=3.14×12.99²

A=3.14×168.7401

A=529.843914

Area is about 530cm²

Eve knits scarves for her online store. This week she has already knitted 9 scarves. There are 2 days left in the work week. She set
a goal for herself to knit at least 15 scarves and at the most 21 scarves this week Eve wants to know how many scarves she
should knit each day to meet her goal
Which inequality represents the given situation?

Answers

Final answer:

Eve should knit between 3 and 6 scarves each day for the remaining 2 days to meet her goal of knitting at least 15 and at most 21 scarves for the week. The inequality that represents this situation is 3 \<= x \<= 6.

Explanation:

Eve has knitted 9 scarves and wants to knit at least 15 and at most 21 scarves for the week. With 2 days of the workweek left, we need to find out how many scarves she should knit each day to meet her goal. Let's denote x as the number of scarves Eve knits each day for the next two days.

Since Eve has already knitted 9 scarves and wants to knit at least 15, the minimum number of additional scarves she needs to knit is 15 - 9 = 6. So, in 2 days, she must knit at least 6 scarves. This gives us the inequality 2x ≥ 6.

Similarly, the maximum number of scarves Eve aims to knit is 21. Therefore, the maximum number of additional scarves she can knit is 21 - 9 = 12. This leads us to the inequality 2x ≤ 12.

Combining both inequalities, we get 3 ≤ x ≤ 6, which tells us that Eve needs to knit between 3 and 6 scarves each day to meet her goal.

What is 7.123 rounded to the nearest whole number?

Answers

7 because 1 is not 5 or higher
The whole number would just be 7. The rule is if the decimal is 1-4 round down and 5-9 round up. Hope this helps! :)

)) Matt's bill for breakfast at a restaurant was $91. He left an 18% tip. What was the total
cost of his breakfast, including tip?

Answers

Answer:

$107.38

Step-by-step explanation:

$91 (the price) multiplied by the percentage 18% (91 x 18 = 1630) (1638/100=16.38 [the tip})

$91 (th original price) + 15.38 (the tip) = $108.38 (final price)

107.38 you take 18 percent of 91 then add it to 91 getting your final total

The equation (x+h)(x+5)=0 has solutions of -5 and 6. What is the value of h.

Answers

Answer:

h = -6

Step-by-step explanation:

To solve this problem, plug in the values of either -5 or 6 into the equation for x. Then, simplify. Let's begin by plugging 6 in.

(6 + h)(6 + 5) = 0

I like to use the acronym FOIL for problems like these: first, outside, inside, last.

To start, multiply the first terms, 6 and 6. The answer is 36.

Next, multiply the outside terms, 6 and 5. The answer is 30.

Then, multiply the inside terms, h and 6. The answer is 6h.

Finally, multiply the last terms, h and 5. The answer is 5h.

Add all the products together.

36 + 30 + 6h + 5h = 11h + 66

The equation becomes 11h + 66 = 0.

Now, subtract 66 from both sides to isolate h.

11h = -66

Then, divide both sides by 11 to further isolate h.

h = -6

You have your final answer, h = -6.

z/8 + 2 = -15
The solution is z = ______.

Answers

Look at the attached picture

Hope it will help u..

Answer:

Z = -136

Step-by-step explanation:

z/8 + 2 = -15

       -2       -2

Z/8 = -17

Z/8 X 8     -17 X 8

Z = -136

Find the unit rate.
18 books in 3 boxes = (
books per box

Answers

Answer:

Step-by-step explanation:15 books in 3 boxes =

books per box

Final answer:

The unit rate of 18 books in 3 boxes is 6 books per box, which is obtained by dividing the total number of books by the total number of boxes.

Explanation:

To find the unit rate of books per box when you have 18 books in 3 boxes, you need to divide the total number of books by the total number of boxes. This is a simple division problem:

Write down the number of books and the number of boxes: 18 books, 3 boxes.Divide the number of books by the number of boxes: 18 \/ 3 = 6 books per box.

So, the unit rate is 6 books per box.

5 2/8-3 7/8=? I need help plzz

Answers

Answer:

1 3/8

Step-by-step explanation:

5 2/8 - 3 7/8

= 42/8 - 31/8

= 11/8

= 1 3/8

Make it as the brainliest

Answer:

  1 3/8

Step-by-step explanation:

(5 +2/8) -(3 +7/8) = (5 -3) +(2/8 -7/8)

  = 2 - 5/8 = 1 3/8

__

It is often convenient to do the arithmetic separately for the integers and the fractions, then combine the results.

Of course, you know that 1 = 8/8 so subtracting 5/8 gives you 3/8.

need math help!! answer choices are 80 , 40, 20, and 60

Answers

Answer:

60

Step-by-step explanation:

The corresponding angles of the triangles are given, y + 10 and 2y - 40. You need to first find the value of the variable (in this case, y), and to do this, you need to set them equal to one another:

y + 10 = 2y - 40

Subtract y from both sides:

y + 10 = 2y - 40

-y          -y

____________

10 = y - 40

Add 40 to both sides:

10 = y - 40

+40    +40

________

50 = y

Now that we have the value of y, you need to plug the value into one of the expressions (either one will come out with the same answer):

y + 10

50 + 10 = 60

OR

2y - 40

2(50) - 40

100 - 40 = 60

Other Questions
Which of the following is the solution of One-fourth x + 5 = 7? Por que se tuvieron que dedicar a la agricultura los cucapas? asap URGENT work out x Which activities are examples of science challenging society? Check all that apply-mining of coal for energy-cloning for organ transplants-Creating laws and regulations-researching use of stem-cells-using electricitythe answer is all exceptcreating laws and regulation If I have 196 points and then loose 227 points how many points do I have in total (5w7)2What is the simplified power of the product?A. 5w9B. 10w14C. 25w9D. 25w14 Find the mode and median of the following data setRed, purple, white, red, white, black, white, white, black, blue, black, red, black, blue, black, black HURRY PLSSSSSLines Line D E and Line A B are parallel.Which angles are congruent?angles A and Eangles B and Cangles C, D, and Eangles A and C What does pH measure? number of hydrogen atoms in an acid number of hydroxide atoms in a base concentration of hydrogen ions in solution concentration of hydroxide ions in solution [70 POINTS] What is the perimeter of the following composite figure?21 yd42 yd47.13 yd35.13 yd Does plateau have low elevation "Cyber Monday is a huge online shopping day. In 2017, approximately 21% of Cyber Monday shoppers used their mobile device to make a purchase. If a person used a mobile device to make a purchase, the probability of making a purchase from Amazon was .55. Suppose a Cyber Monday purchase is selected at random. What is the probability that the purchase was made with a mobile device and was from Amazon." A spinner has four unequal parts. Tony spun the spinner 16 times. The spinner landed onred 1 time, blue 2 times, yellow 3 times and green 10 times. Using this data, what is themost likely outcome on the next spin?redbluegreenyellow Review the multiple-concept example as an aid in solving this problem. In a fast-pitch softball game the pitcher is impressive to watch, as she delivers a pitch by rapidly whirling her arm around so that the ball in her hand moves on a circle. In one instance, the radius of the circle is 0.685 m. At one point on this circle, the ball has an angular acceleration of 63.8 rad/s2 and an angular speed of 15.0 rad/s. (a) Find the magnitude of the total acceleration (centripetal plus tangential) of the ball. What is the reason that human skin cells frequently undergo mitosis? Which of the following controls the activity of all the others?ovariestesteshypothalamuspituitary glands How did Santa Annas War with the U.S. contribute to Mexicos instability? finish sentancemuchas personas comen cereales con leche en el _______ Over which interval(s) is the function decreasing?A)(-1, 1) (3, )B)(-, -1) (1, 3)C)(-, -0.25) (1.75, 3)D)(-0.25, 1.75) (3, ) To understand the formula representing a traveling electromagnetic wave. Light, radiant heat (infrared radiation), X rays, and radio waves are all examples of traveling electromagnetic waves. Electromagnetic waves comprise combinations of electric and magnetic fields that are mutually compatible in the sense that the changes in one generate the other. The simplest form of a traveling electromagnetic wave is a plane wave. For a wave traveling in the x direction whose electric field is in the y direction, the electric and magnetic fields are given by E? =E0sin(kx??t)j^, B? =B0sin(kx??t)k^. This wave is linearly polarized in the y direction. 1.a. In these formulas, it is useful to understand which variables are parameters that specify the nature of the wave. The variables E0 and B0are the __________ of the electric and magnetic fields. Choose the best answer to fill in the blank. 1. maxima 2. amplitudes 3. wavelengths 4. velocities b. The variable ? is called the __________ of the wave. Choose the best answer to fill in the blank. 1. velocity 2. angular frequency 3. wavelength c. The variable k is called the __________ of the wave. Choose the best answer to fill in the blank. 1. wavenumber 2. wavelength 3. velocity 4. frequency d. What is the mathematical expression for the electric field at the point x=0,y=0,z at time t? 1. E=E0sin(??t)j^ 2. E =E0sin(??t)k^ 3. E =0 4. E =E0sin(kz??t)i^ 5. E =E0sin(kz??t)j^ e. For a given wave, what are the physical variables to which the wave responds? 1. x only 2. t only 3. k only 4. ? only 5. x and t 6. x and k 7. ? and t 8. k and ?