Find the value of h in the parallelogram. Round your answer to the nearest tenth​

Find The Value Of H In The Parallelogram. Round Your Answer To The Nearest Tenth

Answers

Answer 1

Answer:

h=7.5 in

Step-by-step explanation:

see the attached figure with letters to better understand the problem

In the right triangle ABC

sin(CAB)=15/18 ----> opposite side divided by the hypotenuse

In the right triangle CDE

sin(DCE)=h/9 ----> opposite side divided by the hypotenuse

In this problem

∠CAB=∠DCE ------> by corresponding angles

therefore

sin(CAB)=sin(DCE)

15/18=h/9

solve for h

h=15*9/18

h=7.5 in

Find The Value Of H In The Parallelogram. Round Your Answer To The Nearest Tenth
Answer 2

Answer:

Step-by-step explanation:

7.5 inches is correct


Related Questions

what is 8 times 5/6​

Answers

Answer:

it is 6.66

Step-by-step explanation:

Maria runs 10 miles every day. If she doubles her usual speed, she can run the 10 miles in one hour less than her usual time. What is her usual speed?

Answers

Answer:

Her usual speed is 5 miles an hour.

Step-by-step explanation:

Since it takes one hour for her to run ten miles that means she is running at 10 miles an hour. So if you divide that by 2 it would be five.

Have a nice and great day.

Please help!!!!!!!!!!

Answers

Answer:

1.

[tex]\dfrac{1}{2}at^2=vt-d[/tex]

2.

[tex]at^2=2(vt-d)[/tex]

3.

[tex]a=\dfrac{2(vt-d)}{t^2}.[/tex]

Step-by-step explanation:

First, express from the formula [tex]d=vt-\dfrac{1}{2}at^2[/tex] the term [tex]\dfrac{1}{2}at^2:[/tex]

[tex]\dfrac{1}{2}at^2=vt-d[/tex]

Now multiply this equation by 2:

[tex]at^2=2(vt-d)[/tex]

and divide it by [tex]t^2:[/tex]

[tex]a=\dfrac{2(vt-d)}{t^2}.[/tex]

a dealer purchased a car for 24500 and marked it up 17%. what is the sticker price of the car?
a) $27,599
b) $26,500
c) $28,665
d) $28,425

Answers

The answer is B.$28,665!!

Answer:

C

Step-by-step explanation: 17 percent of 24500 is 4165 so 24500 plus 4165 is 28665, therefore the answer is C

mark me brainliest if this is right :)

In circle P, what is the measure of DAB

*HELPP​

Answers

Answer:

218°

Step-by-step explanation:

We are given that arc AD is 128° and arc AB is 90°, because the measure of an arc is equal to its corresponding central angle, and ∠APB = 90°, since right angles are 90°.

Also, arc DAB combines arc AD and AB. That means that we add the measures. 90 + 128 = 218°

Alicia is making cupcakes for a party she is having and wants to make sure everyone gets at least 1 cupcake

The recipe calls for 1/2 teaspoon of salt for every batch and each batch makes 21 cupcakes if the part will have a total of 84 people attending how many teaspoon of salt will Alicia need.

Answers

2 teaspoons

21+21=42 so for every 1 teaspoon there is 42 people

42+42=84 so it’s 2 teaspoons

Answer:

Let's imagine that x is the number of teaspoon of salt needed to make at least 84 cupcakes.

So we know that, 1 batch makes 21 cupcakes, and we need at least 84 cupcakes, so the number of cupcakes batch needed here should be:

84 ÷ 21 = 4 (batches)

Since we knew the number of batches that we need to make the cupcakes, we now calculate the amount of sugar needed. We have:

1/2 teaspoon of salt for every 1 batch.

x teaspoon of salt for every 4 batches.

x = (4 . 1/2) . 1 = 2 (teaspoons)

245.5 cm - 20 cm in standard form​

Answers

Answer:

Standard form of 245.5 cm - 20 cm

=225.5 cm

find the interest rate on the loan if he borrowed $2,500 @ an annual interest rate of 6% for 15 years

Answers

Answer: $2250

Step-by-step explanation: (2500x.06)=150

150x15=2250

Answer:

I think you want the monthly payment.  (Equation is attached).

Monthly Payment equals 21.10

If you are looking for the total interest paid then we need the

Total Loan Cost Formula. (attached)

The monthly loan rate is .06 / 12 = .005 and

number of payments = 12 months * 15 years = 180

Total Cost = .005 * 2,500 * 180 / 1 -(1.005)^-180

= 3,797.36

Total Cost  3,797.36

Minus Principal 2,500

Equals total interest paid = 1,297.36

Step-by-step explanation:

1. (16 points) John wants his friends to figure out what number he is thinking of. He gives
them three clues: an
It is a whole number.
The number divided by 2 is greater than 9 and less than 13.
The sum of its prime factors is 9.
A. What are the possible numbers that John could be describing?

Answers

i’m sorry this isn’t an answer but hat kind of people play a game like that?

Answer: John is thinking of the number 20

please rate my answer

Find A U B. A){3,7}B){3,5,6,7}C){2,3,5,7,8,9,12}D){3,5,6,7,8,11,12}

Answers

Answer:

{3,5,6,7}

Step-by-step explanation:

We need only to pick numbers from 2 sums, A and B, together

The union of the two sets is:

A U B = {3, 5, 6, 7, 8, 11, 12}.

Option D is the correct answer.

What is a set?

A set is a collection of items where there are operations such as:

Union of sets, the intersection of sets, and the complement of sets.

We have,

The union of two sets A and B, denoted as A U B, is the set that contains all elements that are in either set A or set B or in both.

To find A U B, we combine the elements of both sets and remove any duplicates.

A = {3, 5, 6, 7}

B = {6, 7, 8, 11, 12}

To find A U B, we combine the elements of both sets:

A U B = {3, 5, 6, 7, 8, 11, 12}

Therefore,

A U B = {3, 5, 6, 7, 8, 11, 12}.

Learn more about sets here:

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The complete question.

A = {3, 5, 6, 7}
B = {6, 7, 8, 11, 12}

plz help god bless if do only 5 stuff to do :3

Referring to the tables above, which students have earned exactly five minutes of free time on Friday? Select all that apply.

Winslow
Amelia
Demetrius
Harley
Jackson
Tyler
Jasmine
Joe
None of the students


Referring to the tables above, which students will receive notes home on Friday? Select all that apply.

Winslow
Amelia
Demetrius
Harley
Jackson
Tyler
Jasmine
Joe
None of the students

Referring to the tables above, which students will receive no rewards or consequences? Select all that apply.

Winslow
Amelia
Demetrius
Harley
Jackson
Tyler
Jasmine
Joe
None of the students

Referring to the tables above, which students will receive at least ten minutes of free time on Friday? Select all that apply.

Winslow
Amelia
Demetrius
Harley
Jackson
Tyler
Jasmine
Joe
None of the students

Referring to the tables above, which students will receive at least fifteen minutes of free time on Friday? Select all that apply.

Winslow
Amelia
Demetrius
Harley
Jackson
Tyler
Jasmine
Joe
None of the students

Answers

Ok I got it.

Question 1 - Demetrius, Jackson, Tyler, and Amelia

Question 2 - Winslow

Question 3 - Joe

Question 4 - Harley and Jasmine

Question 5 - No one recieves fifteen minutes of free time

I hurried this one because Imma go see avengers endgame.

I hope this helps you very much.

I would appreciate making me the brainliest.

Thanks in advance

A total of 771 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 more student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

350

Step-by-step explanation:

771=x+x+71   (x+71 is kids,x is adults)

2x=700

x=350

To find out how many adult tickets were sold, we set up equations based on the given information: total tickets and the difference between student and adult tickets. By solving these equations, we determined that 350 adult tickets were sold.

The question involves determining how many adult tickets were sold for a school play, given that a total of 771 tickets were sold and there were 71 more student tickets than adult tickets. To solve this, we can set up an equation to represent the situation.


Let A represent the number of adult tickets and S represent the number of student tickets. We know that:

A + S = 771 (The total number of tickets).S = A + 71 (There were 71 more student tickets than adult tickets).


Substituting the second equation into the first gives us A + (A + 71) = 771.

Simplifying, we get 2A + 71 = 771.

Subtracting 71 from both sides gives us 2A = 700.

Dividing both sides by 2 gives us A = 350.


Therefore, 350 adult tickets were sold for the school play

Anyone know if this is right?

Answers

(n-1)^2 = n^2 +1 -2n so the third option form top down

Answer:

n² - 2n + 1

Step-by-step explanation:

You are to square;

(n - 1)²

This is the same as,

(n - 1)(n - 1)

Multiplying the above we get;

n² - n - n + 1

Finally,

n² - 2n + 1

A health club charges non-members $5 per day to swim and $9 per day for an exercise class. Members pay a yearly fee of $300 plus $4 per day to attend an exercise class and no swim fee. If Robert swims and takes an exercise class every time he goes to the gym, which equation shows the number of days he must use the gym to make the membership worthwhile? m

Answers

Answer:

300+4x < (9+5)*x

Step-by-step explanation:

x is number of times Robert goes to the gym

Answer:

5d+ 9d=300+4d

Step-by-step explanation:

Answer on EDGE

this is the rest of the first question​

Answers

-7x/7 > 56/7

x < -8

Diagram with a hollow dot on 8.

what is the expression for the difference between five times a number and twice that number?​

Answers

Answer:

5x-2x

///////////////

Step-by-step explanation:

Answer:

[tex]5x-2x[/tex]

Step-by-step explanation:

Let's call that number [tex]x[/tex].

when we are asked for a difference we must substract quantities.

In this case we need the difference between five times a number  (the number is represented by [tex]x[/tex]) and twice that number:

five times the number x is equal to

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

twice that number x is equal to:

[tex]x+x=2x[/tex]

thus, the difference is: [tex]5x-2x[/tex]

How much is one ninth of three eights

Answers

Answer:    3/72, but read the explanantion!

Step-by-step explanation: Since we are trying to find 1/9 of 3/8, which is division, we use the method K, C , F

KCF stands for keep, change, flip.

1/9     (keep)             =                1/9

divided by (change) =        multiplied by

3/8 (flip)                    =                8/3

You then proceed with simple multiplication.

1/9*3/8= 3/72

3/72= 4.1666......

Hope this helps!!

Answer:

1/24

Step-by-step explanation:

Multiply:

1     3       1

--- * --- = -----

9    8      24

find the value of r in (4, r), (r, 2) so that the slope of the line containing them is -5/3

Answers

[tex]\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{r})\qquad (\stackrel{x_2}{r}~,~\stackrel{y_2}{2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{2-r}{r-4}=\stackrel{\stackrel{given}{\downarrow }}{-\cfrac{5}{3}}\implies 3(2-r)=-5(r-4) \\\\\\ 6-3r=-5r+20\implies 6+2r=20\implies 2r=14\implies r=\cfrac{14}{2}\implies r=7[/tex]

Answer:

r = 7

Step-by-step explanation:

looking at the slope -5/3, -5 is the change in y and 3 is the change in x. so, we  have to start from the point ( 4 , r ) and get to the next point ( r , 2 ) by using the given slope. we would first add 3 to our x value in the first point since that's our change in x and we would get r = 7. then we can substitute that in the other point and it works perfectly.

i hope this helps :)

Please help me I don’t understand

Answers

Answer:

the answer is 50 percent

Step-by-step explanation:because each of the lines count as 25% and the blue boxes are another 25% each.  so the answer is 50%

I don’t know what the answer is I wish I could help

Which function is represented by the graph below? (5 points) f(x) = 3x f(x) = 3x − 3 f(x) = 3x + 3 f(x) = 3(x + 3)

Answers

Answer:

The correct function should be  f(x) = 3^(x + 3).

A function assigns the values. The function that represents the graph below is f(x) = 3⁽ˣ⁺³⁾.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The function that can represent the graph below can be found by plotting the function on the calculator.

f(x) = 3ˣ – 3  ⇒ Black

f(x) = 3⁽ˣ⁺³⁾  ⇒ Red

f(x) = 3ˣ  ⇒ Blue

f(x) = 3ˣ + 3  ⇒ Green

Hence, the function that represents the graph below is f(x) = 3⁽ˣ⁺³⁾.

Learn more about Function:

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jelanie wrote the system of linear equations below to represent the number of student and adult tickets he and his friend sold to their school play 12s+10a=128 16s+21a=232 jelani also wrote the augmented sound matrix to represent this system which matrix could melanin have written

Answers

Answer:

[tex]\left[\begin{array}{ccc}12&10&|128\\16&21&|232\end{array}\right][/tex]

Step-by-step explanation:

The two equations Jelani wrote are:

12s+10a=128

16s+21a=232

The coefficient matrix is:

[tex]\left[\begin{array}{cc}12&10\\16&21\end{array}\right][/tex]

The constant matrix is:

[tex]\binom{128}{232}[/tex]

The augmented matrix is the combination of the coefficient matrix and the constant matrix.

[tex]\left[\begin{array}{ccc}12&10&|128\\16&21&|232\end{array}\right][/tex]

Answer:

[tex]\large\boxed{\left[\begin{array}{ccc}12&10&128\\16&21&232\end{array}\right] }[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}ax+by=n\\cx+dy=m\end{array}\right\Rightarrow\left[\begin{array}{ccc}a&b&n\\c&d&m\end{array}\right][/tex]

[tex]\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}12s+10a=128\\16s+21a=232\end{array}\right\Rightarrow\left[\begin{array}{ccc}12&10&128\\16&21&232\end{array}\right][/tex]

the rectangular floor of a classroom is 36 ft in length and 32 ft in width and scale drawing of the floor has a length of 9 inches what is the area in square inches of the floor in scale drawing​

Answers

72 square inches.

Start by finding the dimensions of the scale drawing. If 36 divided by a number equals 9, then that number is 4. 36 / 4 = 9

So, you need to divide 32 by 4 as well to get 8.

This means the scale drawing is 9 inches long and 8 inches wide.

Finally, to find the area, multiply the length and width together. 9 * 8 = 72

The area of the scale drawing is 72 square inches.

What is the domain of y=cos(2x)?

Answers

Answer is C: (-∞, ∞)

Answer:

Step-by-step explanation:

There is no restriction on the input values of x , since it is periodic it can have any real value. Hence the domain of cos (2x) is (-∞,∞).

Because cos is periodic the output value keeps on repeating for any smaller or bigger input x .

Hw 30 surface area.

Answers

Answer:

5. LA = 301.6 sq. cm.,  SA = 402.1 sq. cm.

6. LA = 377.0 sq. in.,  SA = 603.2 sq. in.

7.  LA = 113.1 sq. cm.,  SA = 169.6 sq. cm.

8. LA = 502.7 sq. cm.,  SA = 603.2 sq. cm.

9. 396 sq. in.

Step-by-step explanation:

The lateral area is the area of all the faces, except the base(s). The surface area is the area of ALL the faces of the shape.

5.

The lateral area of a cylinder is given by the formula:

LA = 2πrh

where r is the radius and h is the height of the cylinder

So, lateral area would be 2π(4)(12) = 301.6 sq. cm.

The surface are would be the lateral area (301.6) PLUS the area of 2 of the circular bases. Circle has an area of πr^2.

So 2 bases would have area of (π(4)^2)*2=100.5

Thus, the surface area = 301.6 + 100.5 = 402.1

6.

The lateral area would be LA = 2πrh

The radius is given as 6 and height as 10. Plugging it would give us:

LA = 2πrh = 2π(6)(10) = 377.0 sq. in.

For the surface area, we would need to add the top and bottom (which are 2 identical circles with area πr^2 each) with the lateral area. So we have:

2 * (π(6)^2)

=226.2

Surface area = 377.0 + 226.2 = 603.2 sq. in.

7.

The radius of the cylinder is 3 and height is 6. We will plug them into the respective formulas.

lateral area:

LA = 2πrh = 2π(3)(6) = 113.1

surface area:

area of 2 circles (top and bottom) = (πr^2)*2 = (π(3)^2)*2 = 56.5

Surface area = 113.1 + 56.5 = 169.6

8.

diameter is given as 8, so radius is half of it. Hence, radius is 4 and height given as 20.

Plugging these values into the respective formula we will get the answer.

lateral area:

LA = 2πrh = 2π(4)(20) = 502.7

surface area:

area of both the circles (top and bottom) PLUS the lateral area of 502.7.

So, surface area = 502.7 + (πr^2)*2 = 502.7 + (π(4)^2)*2 = 603.2  

9.

The frosting area of area of two rectangles (left and right) + area of two rectangles (back and front) + area of rectangle (top).

So, surface area of the frosting part = 2 (4*15) + 2(4*12) + (12)(15) = 396

For a certain experiment, if we expect to get a red marble twelve times in 60 trials, what is the theoretical probability of getting a red marble? 1/12 1/10 1/5 1/4

Answers

Answer:

1/5

Step-by-step explanation:

You expect to get 12 red marbles out of 60 trials.

So, you expect to get a red marbles 12/60 of the times.

We can simplify that 12/60 to 1/5, which is a choice of answers. :-)

We assume here you correctly assume your probability level when you did your forecast of 12/60.  And either you're picking from a small pool and re-insert the marble, or you have a very large amount of marbles (at least 60).

The image of (6, 9) under a dilation is (4, 6). The scale factor is -2 2/3 -2/3

Answers

Answer:

The scale factor is 2/3.

Step-by-step explanation:

Given data,

The given image is (6,9)

The image after dilation is (4,6)

The scale factor is calculated by dividing the resultant image by the initial image.

For example, if the initial dimensions are (x1, y1) and the final dimensions are (x2,y2). The scale factor is calculated using x2/x1 = y2/y1 = Scale Factor  

In our scenario,

x1  = 6

x2 = 4

y1  = 9

y2 = 6

Scale Factor = x2/x1

=> 4/6

=> 2/3

Similarly for y axis,

Scale Factor = y2/y1

=> 6/9

=> 2/3

Therefore, the scale factor is 2/3.

If the hypotenuse of a 45°-45°-90° triangle is 13, what is the length of one of the legs?

Answers

Answer:

9.19

Step-by-step explanation:

Using Law of sines to find other two lengths:

a/sinA=b/sinB

let a be length of side unknown and b be hypotenuse then sinB=sin90 and sinA=sin45

a/sin45=13/sin90

a=13sin45

a=13(0.707)

  =9.19

As the given triangle is isosceles hence the length of other two legs will be same i.e 9.19 !

A class of 25 students took a spelling test. Two students scored 100 on each test, nine students scored 95 on each test, ten students scored 90 on each test, three students scored 80 on each test and one student scored 70. What is the average score of the spelling test rounded to one decimal place? Enter your answer in the box.

Answers

data:

2 scored 100

9 scored 95

10 scored 90

3 scored 80

1 scored 70

set of data:

70, 80, 80, 80, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 95, 95, 95, 95, 95, 95, 95, 95, 95, 100, 100

to find the average score of the spelling test, we have to add all of the numbers up and then divide by 2

all of those numbers added up would be 2,265

next, divide 2,265 by 2

2,265 / 2 = 1,132.5

finally, round 1,132.5

= 1,133 (average score of spelling test)

A class of 25 students took a spelling test. The average score of the students on the spelling test is 90.6.

How to find the average data?

The average data is calculated as follows:

Add all the data elementsDivide the sum by the number of data items.

Calculation:

Given that,

A class of 25 students took a spelling test.

The data of scores of those students:

2 students - 100

9 students - 95

10 students - 90

3 students - 80

1 student - 70

Adding all the scores of each student:

2×100 + 9×95 + 10×90 + 3×80 + 1×70 = 2265

Dividing the sum by the number of students (25):

⇒ 2265/25

⇒ 90.6

Therefore, the average of the given data is 90.6.

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Can someone give me an explanation of how to do this.

Answers

[tex]\bf \sqrt{6x^2}\cdot \sqrt{18x^2}\implies \sqrt{(6x^2)(18x^2)}\implies \sqrt{108x^2x^2}\implies \sqrt{108(x^2)^2} \\\\\\ \begin{cases} 108=&2\cdot 2\cdot 3\cdot 3\cdot 3\\ &2^2\cdot 3^2\cdot 3\\ &(2\cdot 3)^2\cdot 3\\ &6^2\cdot 3 \end{cases}\implies \sqrt{6^2(x^2)^2\cdot 3}\implies 6x^2\sqrt{3}[/tex]

Answer:

the correct answer is option D. 6x²√3

Step-by-step explanation:

It is given that

√6x² * √18x²

To find the value of √6x² * √18x²

√6x² * √18x² = √(6x² ) * (18x²)

 = √(6 * 18 x² *x²)

 = √(6 * 6 * 3 x² *x²)

 = 6x√3

The equivalent of √6x² * √18x² =   6x²√3

Therefore the correct answer is option D.   6x²√3

What substitution should be used to rewrite x8 – 3x4 + 2 = 0 as a quadratic equation?

Answers

Answer:

The substitution is

[tex]u = x ^ 4[/tex]

[tex]u ^ 2 -3u +2 = 0[/tex]

Step-by-step explanation:

We have the 8th degree polynomial equation

[tex]x ^ 8 - 3x^4 -+2 = 0[/tex]

To rewrite the equation as a quadratic function, take the common factor of the term x with the smallest exponent, in this case it is [tex]x ^ 4[/tex].

Now make a change of variable

[tex]u = x ^ 4[/tex].

So rewriting the equation in terms of u, we have:

[tex]u ^ 2 -3u +2 = 0[/tex]

Now the initial equation became a quadratic equation

Factoring is left:

[tex](u-2) (u-1) = 0[/tex]

[tex]u = 2[/tex] and [tex]u = 1[/tex]

[tex]x ^ 4 = 2[/tex] and [tex]x ^ 4 = 1[/tex]

Answer:

substitution should be p =  x⁴

Step-by-step explanation:

It is given that,

x⁸ -  3x⁴ + 2 = 0

we can rewrite the equation,

(x⁴)² - 3x⁴ + 2 =0

To find the substitution

Here we can see that x⁴ is common in two terms of the given equation

we can substitute p instead of x⁴, the equation becomes,

p² - 3p +2 = 0

Therefore substitution should be used to rewrite x8 – 3x4 + 2 = 0 as a quadratic equation is p =  x⁴

Other Questions
When did the ellis island immigration station open Auxins _____.promote cell elongation and cell division in stemsstimulates seed growth and fruit developmentpromotes cell divisionregulates the opening and closing of stomata Which of the following statements are true regarding olfaction? Check all that apply. a)Smell is a chemical sense. b)Odorant molecules dissolve in mucus before stimulating a receptor. c)Humans can only distinguish up to 200 odors. d)Olfactory receptors have hairs on the apical surface that respond to stimuli. e)When olfactory receptors are stimulated a receptor potential is created. The Anti-Saloon League was a group that supported __________. A. prohibition B. racism C. gender discrimination D. poverty 1960 $4,9951970 $8,6261980 $15,9701990 $31,3672000 $41,8072010 $55,202Determine the average mean salary for the six decades, 1960 2010. Catherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tube of paint costs $8.50. Assume that x represents the number of tubes of paint Catherine can buyThe inequality that represents this scenario is1. 8.5x +20>542. 8.5x-20 Describe how to find the measurement of angle L using the measurement of angle C. Chelsea had $71.18 she bought a new pair of glasses for $59.95 can she buy a case that costs $12.95 Carlos wrote a check for $44.92 to pay his gas bill. Hell use the check register to record his transaction. What will be his new balance? $345.09 $370.09 $434.93 $459.93 True or false? according to public health news article "lead poisoning strikes another town" lead poisoning is equally harmful to everyone; however, it has devastating impacts on young children. How did the Magna Carta further the development of the rule of law?It replaced Ye Olde Rule of Law in England.It granted special rights to the sovereign.It gave King John a place in history.It made the sovereign subject to law. What caused the civil war? Annabelle is writing a literary analysis essay. Which of the following points should she keep in mind as she writes?Include personal opinions.Write in the present tense.Use figurative language.Write in third person.Avoid using text citations. what is the equation of the graphed line written in standard form?x-4y=4. x+4y=4. y=1/4x-1. y=-1/4x-1 2. Who was a famous Anti-Federalist? A. John Adams B. Alexander Hamilton C. Thomas Jefferson D. Benjamin Franklin Hello, my teacher asked me to write a paragraph about life. Here's what I got. "You don't know where life will take you." I need help What is the function of the Golgi apparatus? Match the definitions to the terms: Terms: Hypotonic SolutionIsotonic SolutionHypertonic SolutionDiffusionFacilitative DiffusionActive TransportPassive TransportConcentration GradientEquilibriumOsmosisDefinitions: 1.Movement of material across the cell membrane with energy2.The environment outside of the cell has a lower concentration of dissolved material than the inside of the cell. This causes the cell to swell, and it may even burst.3.A difference in the concentration of a substance across a distance4.Movement of material across the cell membrane without energy5.The environment outside of the cell has more dissolved material than inside of the cell. If a cell is placed in a this type of solution, water will leave the cell. This can cause a cell to shrink and shrivel (crenation).6.The movement of particles from regions of higher density to lower density regions7.Diffusion of water across a selectively permeable membrane8.Concentration of a substance is the same throughout a space9.A solution in which the amount of dissolved material is equal both inside and outside of the cell. Water still flows in both directions, but an equal amount enters and leaves the cell.10.The movement of large molecules through a membrane protein channel along the concentration gradient. All of the planets in Earth's solar system must follow the same plane of motion. What's this plane called? A. Plane of the ecliptic B. Plane of spherical motion C. Plane of triangulation D. Plane of orbital rotation Consider a beam of electrons in a vacuum, passing through a very narrow slit of width 2.00m. The electrons then head toward an array of detectors a distance 1.068 m away. These detectors indicate a diffraction pattern, with a broad maximum of electron intensity (i.e., the number of electrons received in a certain area over a certain period of time) with minima of electron intensity on either side, spaced 0.527 cm from the center of the pattern. What is the wavelength of one of the electrons in this beam? Recall that the location of the first intensity minima in a single slit diffraction pattern for light is y=L/a, where L is the distance to the screen (detector) and a is the width of the slit. The derivation of this formula was based entirely upon the wave nature of light, so by de Broglie's hypothesis it will also apply to the case of electron waves.