Solve for x. Round to the nearest tenth.

Solve For X. Round To The Nearest Tenth.

Answers

Answer 1

The value for x is 25.5 units.

What are the Basic Trigonometry Formulas?

Basic trigonometry formulas are used to find the relationship of trig ratios and the ratio of the corresponding sides of a right-angled triangle. There are basic 6 trigonometric ratios used in trigonometry, also called trigonometric functions- sine, cosine, secant, co-secant, tangent, and co-tangent, written as sin, cos, sec, csc, tan, cot in short.

We have,

Perpendicular side = 18

Hypotenuse side = x

θ = 90/2 = 45°

sinθ = Perpendicular side/Hypotenuse side

sinθ = 18 / x

sin(45°) = 18 / x

1/√2 = 18 / x

x = 18 *√2

x = 25.4558

x = 25.5

Hence, the value for x is 25.5 units.

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Related Questions

-12y = -3y - 35 -5y




Answers

Answer: y = 35/4

Step-by-step explanation:

combine like terms: -

12y = -3y - 35 - 5y

-12y = -8y - 35

Add 8y to both sides

-12y = -8y - 35

Simplify

-4y = -35

Divide both sides by the same factor

-4y = -35

-4y/-4 = -35/-4

Simplify

y = 35/4

Hope that helps :)

-Amria

dagogo uploads 333 videos on his channel every month. each video averages 151515 minutes in length and gets an average of 150{,}000150,000150, comma, 000 new views. the average ratio of likes-to-views of dagogo's videos is 1:51:51, colon, 5. dagogo wants to reach a total of 9{,}000{,}0009,000,0009, comma, 000, comma, 000 views on his channel. assuming these rates continue, how many likes does dagogo get, on average, for each minute of video he uploads?

Answers

In linear equation, For 20 Months Dagogo requires to upload videos to get 90,000,000  views on his channel.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.        

                                   The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

Dagogo uploads 3 videos on his channel each month.

Each video gets an average of 1500000 views.

  3 Video get Views  = 3 * 1500000

                                = 4,500,000 Views

Views per month  =   4,500,000 Views

      Total Views = 90,000,000 views

Number of months = Total Views/Views per month

Number of months  = 90,000,000/4,500,000

      Number of months  20 Months

For 20 Months Dagogo requires to upload videos to get 90,000,000  views on his channel.

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The complete question is -

Dagogo uploads 3 videos on his channel every month. Each video averages 15 minutes in length and gets an average of 150,000 new views. The average ratio of likes-to-views of Dagogo videos is 1:5. Dagogo wants to reach a total of 9,000,000 views on his channel. Assuming these rates continue, for how many months does Dagogo need to upload videos to get to 9,000,000 views on his channel?

Answer:

2000 likes per minute

Step-by-step explanation:

If each video averages 15 minutes and he gets an average of 150000 new views, we can divide.

150000/15=10000

If the ratio of likes to views is 1:5, we can assume 10000 is the "5" and divide it by 5.

10000/5=2000

2000:10000 = 1:5

2000 likes per minute

(KHAN)

Complete the table below using the given function

Answers

Answer:

just write the value of y in the y table and replace x with the given value above : for example if x is -4

then,

y = 20*(-4)-5

Corey is making a wall-mounted bookshelf. it has 2 shelves, with a third piece of wood intersecting them. to support the shelves, corey orders some l-brackets to put between the shelves and the crosspiece. he measures angle 6. how many brackets should he order to have one for every angle that is congruent to angle 6? explain.

Answers

2; <3 is congruent to <6. Option B is correct.

What is Angle?

Angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Given that Corey is making a wall-mounted bookshelf.

It has 2 shelves, with a third piece of wood intersecting them. to support the shelves, corey orders some l-brackets to put between the shelves and the crosspiece.

To find a congruent angle you must find what can fit inside the giving number the best. If we compare all of the answer is wouldn't make sense, since 7 is greater than 6 it would be wrong. So, A is Incorrect.

C is about 3 and 7. C would fit but 7 wouldn't. So, C is incorrect.

D has both 2 and 3 but also have 4 and 7 which wouldn't match. So, D is incorrect.

Hence, option B is correct,  2; <3 is congruent to <6.

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In triangle DEF angle F i 120 degree and f= 4/3e. Find the meaure of angle D and angle E

Answers

The measure of the angle D and F can be calculated form the total measure of the Angle of the triangle that is 180.

In the triangle DEF, F is 120 degree and F is 4/3rd of E. A straight angle is just a straight line which is where it gets its name. the sum of a triangles angles 180. It is proved by angular defect and triangles area. The angle sum of a triangle will always be equal to 180°. The angle sum of a quadrilateral is equal to 360°, and a triangle can be created by slicing a quadrilateral in half from corner to corner. Since a triangle is essentially half of a quadrilateral, its angle measures should be half as well.

Angle F = 120 degree

F= 4/3 E

E= 90 degree

The sum of the angle is 180. so,

D + E + F = 180

Putting all the values we can find the measure of angle D and Angle E.

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Evaluating Expressions with Exponents

What is the value of the expression 3^3+6 x 3 ?

Answers

Answer:

here is the answer:

Step-by-step explanation:

the answer is 45

Answer:

45

Step-by-step explanation:

3^3+6x3First we multiply the 2 numbers3^3+18Second we multiply 3 into 3 times

3x3x3+18

=45

a _______ is a graph of each data value plotted as a point. stemplot dotplot Pareto chart frequency polygon

Answers

A dot plot is a graph of each data value plotted as a point.

In the given question, we have to fill in the blanks.

A _______ is a graph of each data value plotted as a point.

As we know that;

Data points are represented as dots on a graph with an x- and y-axis in a dot plot, sometimes referred to as a strip plot or dot chart, which is a straightforward type of data visualisation.

These kinds of graphs are employed to visually represent particular data trends or groupings. The distribution of a collection of data is shown by a dot plot, which is comparable to a histogram in that it shows the proportion of data points that fall into each category or value on the axis.

Hence, a dot plot is a graph of each data value plotted as a point.

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Please help me respond this question

Answers

215
bc if you add 212+218 then you get 430 and divide that by 2

Expand the function.


f(x)=(3x+2)^4

Answers

The expanded equation of the function f(x) = (3x + 2)⁴ is f(x) = 81x + 216x³ + 216x² + 96x + 16

How to expand the function

From the question, we have the following parameters that can be used in our computation:

f(x) = (3x + 2)⁴

Using the pascal triangle at n = 4, we have the coefficients to be

Coefficient = 1     4     6     4     1

So, when the function f(x) = (3x + 2)⁴ is expanded, we have

f(x) = 1 * (3x)⁴ + 4 * (3x)³ * 2 + 6 * (3x)² * 2² + 4 * (3x) * 2³ + 1 * 2⁴

Evaluate

f(x) = 81x + 216x³ + 216x² + 96x + 16

Hence, the solution is f(x) = 81x + 216x³ + 216x² + 96x + 16

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A power outage affected all homes and businesses within a 5 mi radius of the power station. If the power station is located 1 mi west and 3 mi north of the center of town, find an equation of the circle consisting of the furthest points from the station affected by the power outage.

Answers

Answer: x^2 - 2x + y^2 - 6y + 10 = 0.

Step-by-step explanation: The power station is located 1 mi west and 3 mi north of the center of town, which means that it is located at the point (1, 3) on the coordinate plane. The power outage affected all homes and businesses within a 5 mi radius of the power station, which means that the furthest points from the station affected by the power outage are located on a circle with a radius of 5 mi.

The equation of a circle with center (h, k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values for the center of the circle (h, k) = (1, 3) and the radius r = 5, the equation of the circle consisting of the furthest points from the power station affected by the power outage is:

(x - 1)^2 + (y - 3)^2 = 5^2

This simplifies to:

x^2 - 2x + 1 + y^2 - 6y + 9 = 25

Combining like terms, the equation becomes:

x^2 - 2x + y^2 - 6y + 10 = 0

This can be written in standard form as:

x^2 - 2x + y^2 - 6y + 10 = 0

Therefore, the equation of the circle consisting of the furthest points from the power station affected by the power outage is x^2 - 2x + y^2 - 6y + 10 = 0.

Luke is going to rent an apartment in Hillwood, where other monthly expenses will sum up to $2929. Luke makes $7504 each month. Write the inequality for the possible amounts of money Luke can spend renting his apartment in Hillwood in order for Luke to have some money left over each month. Use x to represent the cost of the rent in Hillwood and don't use the $ symbol in the inequality. Show your work here Hint: To add inequalities (<, >, ≤, ≥), type “less” or “greater” Enter your answer

Answers

Answer:
He can waste 4,575 a month

Step-by-step explanation:

Jamie wrote out the following equence of number on a heet of paper. What number would be the next in the equence of number?

Answers

The number which would be the next in the sequence of number is sixty-four i.e., 64.

What is Geometric sequence?

In mathematics, a geometric progression is a sequence of non-zero numbers where each term after the first multiplies the previous term by a fixed non-zero number called the common ratio. In other words, a geometric progression has consecutive terms with a common ratio. Example: a , a², a³, ..., where aₙ₊₁/aₙ= a

We have , Jamie noted the following sequence: 4, 8, 16, 32, . .. on a sheet of paper. After careful study of the sequence we have provided, is a geometric sequence and the ratio between consecutive terms in the geometric sequence is : (8/4), (16/8), ....

= 2, 2, .....

We have to locate the next number in sequence. To find the next term in a geometric sequence, simply multiply the last term given by the common ratio of the sequence. So, the next number in the sequence is 32 × 2 = 64. Hence, required number is 64.

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Complete question:

Jamie wrote out the following sequence of numbers: 2, 6, 14, 30,...on a sheet of paper. What number would be the next in the equence of number?

equation of a circle whose center at P (3,-7) and tangent to 2x+3y-4=0​

Answers

Answer:

[tex](x-3)^2+(y+7)^2=\dfrac{361}{13}[/tex]

Step-by-step explanation:

The tangent of a circle is always perpendicular to the radius.

Therefore, the center is on a line that is perpendicular to the tangent.

Rearrange the equation of the tangent to make y the subject:

[tex]\begin{aligned}2x+3y-4&=0\\3y&=-2x+4\\y&=-\dfrac{2}{3}x+\dfrac{4}{3}\end{aligned}[/tex]

Therefore, the slope of the tangent line is -²/₃.

If two lines are perpendicular to each other, their slopes are negative reciprocals.  Therefore, the slope of the perpendicular line is ³/₂.

To write the equation of the line perpendicular to the tangent, substitute the found slope and the center point into the point-slope formula:

[tex]\begin{aligned}y-y_1&=m(x-x_1)\\\implies y-(-7)&=\dfrac{3}{2}(x-3)\\y+7&=\dfrac{3}{2}x-\dfrac{9}{2}\\y&=\dfrac{3}{2}x-\dfrac{23}{2}\end{aligned}[/tex]

The point on the circle is the point of intersection of the tangent line and the perpendicular line.  

To find the point of intersection, substitute the equation for the perpendicular line into the equation for the tangent line:

[tex]\implies \dfrac{3}{2}x-\dfrac{23}{2}=-\dfrac{2}{3}x+\dfrac{4}{3}[/tex]

[tex]\implies \dfrac{13}{6}x=\dfrac{77}{6}[/tex]

[tex]\implies x=\dfrac{77}{13}[/tex]

Substitute the found value of x into one of the linear equations and solve for y:

[tex]\implies y=-\dfrac{2}{3}\left( \dfrac{77}{13} \right)+\dfrac{4}{3}[/tex]

[tex]\implies y=-\dfrac{34}{13}[/tex]

Therefore, the point of intersection and hence the point on the circle is:

[tex]\left( \dfrac{77}{13}, -\dfrac{34}{13}\right)[/tex]

[tex]\boxed{\begin{minipage}{5 cm}\underline{Equation of a circle}\\\\$(x-h)^2+(y-k)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(h, k)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}[/tex]

To find r², substitute the given center of the circle (3, -7) and the found point into the equation of the circle:

[tex]\implies \left(\dfrac{77}{13} -3 \right)^2+ \left(-\dfrac{34}{13}+7\right)^2=r^2[/tex]

[tex]\implies \left(\dfrac{38}{13} \right)^2+ \left(\dfrac{57}{13}\right)^2=r^2[/tex]

[tex]\implies \dfrac{1444}{169} + \dfrac{3249}{169}=r^2[/tex]

[tex]\implies \dfrac{4693}{169}=r^2[/tex]

[tex]\implies \dfrac{361}{13}=r^2[/tex]

Therefore, the equation of the circle whose center is P(3, -7) and tangent to 2x+3y-4=0 is:

[tex]\boxed{(x-3)^2+(y+7)^2=\dfrac{361}{13}}[/tex]

Pls help with this I put in a photo

Answers

Step-by-step explanation:

to be a triangle the sum of any 2 sides must be larger than the third side.

so,

x + 10 > 18

x + 18 > 10

18 + 10 > x

the first inequality gives us

x > 8

the third inequality gives us

28 > x

the second inequality would give us

x > -8

but with the first inequality x > 8 we have already a stronger criteria than x > -8 (if x > 8 is true, then so is automatically x > -8, but not the other way around).

therefore x > 8 is the narrower criteria and answer.

so, we have in combination

8 < x < 28

I NEED HELP WITH #17
HELP PLEASEE (i’ll give you brainliest)

Answers

Answer:

Check the image for step-by-step answer

Please help please! No fake answers pls

Answers

Answer:

[tex]x=60[/tex]

Step-by-step explanation:

[tex]3x=180\\x=\frac{180}{3} \\x=60[/tex]

Haute cuisine is typically characterized by careful preparation and what kind of presentation?
Ο Α.
О в. cluttered
careless
C. detail-oriented
D.
casual

Answers

Answer:

C. detail-oriented

Step-by-step explanation:

Haute cuisine is typically characterized by careful preparation and detail-oriented presentation.

C detail-oriented

Explanation: agree with above

suppose a test of significance desires to see if there is a difference in mean ssha scores between men and women. which is the appropriate alternative hypothesis?

Answers

The appropriate alternative hypothesis is the opposite of null hypothesis that there is a difference in mean SSHA scores between men and women.

The alternative hypothesis is the opposite of the null hypothesis, which is typically stated as there being no difference between the two groups. In this example, the null hypothesis is that there is no difference in mean SSHA scores between men and women. The alternative hypothesis is then that there is a difference in mean SSHA scores between men and women. This can be stated as "There is a difference in mean SSHA scores between men and women". This is the appropriate alternative hypothesis for this test of significance.

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Mike buys 4 packs of baseball cards for a total of $8.00. Each pack contains 10
baseball cards. How much does Mike pay for each baseball card?

Answers

he is paying $0.2 for each card in the packs and $2 for each pack of cards i know that because 0.2 multiplied by 10 is 2 and 2 divided by 10 is 0.2 and $8 (the price he payed for all 4 packs) divided by 4 is 2 so there you go.

Find the value of this variable

A. 146 degree
B. 73 degree
C. 84 degree
D. 62 degree

Help!!!

Answers

Answer: B. 73 degree

Step-by-step explanation:

We know that a triangle has 180 degree

62 + 84 = 146 degree

180 - 146 = 34 degree

34 degrees is the angle inside the triangle. The inside angle must add with the outside angle = 180 degree

So the outside angle is

2x = 146

x = 73

The table below represents the value, y, of an antique table x years after purchase.



The data was modeled with a linear best-fit function. What was the initial purchase price?

$5,625

$5,000

$625

$2,500

Answers

The initial purchase price of the best fit function is; $2500

How to interpret a linear best fit function?

The equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

The formula to find the slope between two coordinates is;

m = (y₂ - y₁)/(x₂ - x₁)

If we take the coordinates (4, 5000) and (12, 10000), we have;

Slope = (10000 - 5000)/(12 - 4)

Slope = 625

Thus, the equation will be;

5000 = 625(4) + c

5000 - 2500 = c

c = $2500

y-intercept represents the intital price which is when x = 0 years.

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Which of the following statements proves that two triangles are similar?A. Corresponding angles are congruent.

B. Corresponding sides are proportional.

C. Corresponding angles are congruent, and the corresponding sides are congruent.

D. Corresponding angles are congruent, and the corresponding sides are proportional

Answers

Two triangles are similar when the corresponding angles are congruent, and the corresponding sides are proportional. Hence, option D is the most appropriate answer to the given question.

When we are given triangles, we can prove that two triangles are congruent with the given conditions by applying various tests of congruency. whereas to prove them to be similar we can use various tests of similarity.  

Similar triangles are triangles that have the same shape, but they may have different sizes.

Hence, to prove the two triangles to be similar, we have to prove the corresponding angles to be congruent and the corresponding sides to be proportional and not proportional. Hence, option D is the only right choice for the given question.

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Select each equation which is equivalent to 60% of 25. 0.6 • 25 = x x • 1.6 = 25 6/10=x/25 60/100=25/x x/25=60/100 6.0 • 25 = x

Answers

Answer:

the ture was

0.6 • 25 = x

6/10=x/25

x/25=60/100

the fault

6.0 • 25 = x

x • 1.6 = 25

60/100=25/x

Leah want to buy a necklace for her mother’ birthday that cot $48. 50. She currently ha $14. 55. What percentage of the total doe Leah have?

Answers

Leah currently has 14.55 out of the total of 48.50, which is approximately 30% of the total amount.

To calculate the exact percentage, you would divide 14.55 by 48.50 and then multiply the result by 100. If you do this, you find that Leah has exactly 29.941%, which rounds up to 30%.

The remaining amount of money that Leah needs to buy the necklace is 33.95, which is approximately 70% of the total. To calculate the exact percentage, you would divide 33.95 by 48.50 and then multiply the result by 100. If you do this, you find that Leah needs exactly 69.907%, which rounds down to 69%.

Therefore, Leah currently has 30% of the total amount of money needed for the necklace, and she needs 69% of the total amount of money to buy the necklace for her mother's birthday.

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Don has a box of colored pencils. He uses 53 pencils And has 118 pencils left in the box.Write an equation to showing how many pencils are in the box before he starts drawing.

Answers

The correct equation is p - 53 = 118.

How did we figure this out?

Dontavious has a box of colored pencils.Dontavious uses 53 pencils.Pencils still left in the box = 118.Let the total number of pencils in the box be p.So, the equation representing the situation given will be:

⇒ p - 53 = 118

Therefore, the correct equation is p - 53 = 118.

Given isosceles HIJ where HI ≈ IJ, m/H = (3x + 10)°, and m/I = (6x − 20)°, find the measures of angles H, I, and J.

Answers

The missing angles of the isosceles triangle are as follows:

m∠H  = 55 degreesm∠I = 70 degreesm∠J = 55 degrees.

How to find the angles of an isosceles triangle?

An isosceles triangle is a triangle that has two sides equal to each other and two angles congruent to each other.

The base angles of an isosceles triangles are congruent and the two legs are also equal.

Therefore, ΔHIJ

where

HI ≅ IJ

m∠H  = 3x + 10

m∠I = 6x - 20

Therefore,

m∠H ≅ m∠J

m∠H  + m∠I+ m∠J = 180

3x + 10 + 6x - 20 + 3x + 10 = 180

12x  = 180

x = 180 / 12

x = 15

Hence,

m∠H  = 3(15) + 10 = 55 degrees

m∠I = 6(15) - 20 = 90 - 20  = 70 degrees

m∠J = 55 degrees.

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Which formula(s) would be best to find the length of CD?
Distance Formula or Pythagorean Theorem
Distance Formula or Slope Formula
Pythagorean Theorem and Slope Formula
None of these choices are correct.

Answers

The formula which would be best to find the length of line segment CD as required in the task content is; Distance Formula or Pythagorean Theorem.

Which formula is best for determining the length of a given line segment?

It follows from the task content that the formula which is best for determining the length measure of a given line segment is to be determined.

On this note, recall that given two endpoints of a line, the distance between the two points, otherwise termed the length of the line is given by the formula;

Distance, D = √ { ( y₂ - y₁ )² + ( x₂ - x₁ )² }

Also, the distance formula is a modification of the Pythagorean theorem.

Ultimately, the formula required to determine the length of CD is; Distance Formula or Pythagorean theorem.

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Please find the area and perimeter of the shapes!


I will give brainly to the best!

Answers

Answer:

0

Step-by-step explanation:

Answer:

0

Elaboration:

There is no picture so there is no shapes to measure.

Yaqub has a bag only containing green and yellow pins. 3 of the pins are green. 7 He picks out a green pin from his bag and gives it to his sister. of the remaining pins in his bag are green. How many of the remaining pins in his bag are green and how many are yellow?

Answers

Answer:

The answer is that there are 2 green pins and 5 yellow pins remaining in the bag.

Step-by-step explanation:

There are 3 green pins in the bag at the start and Yaqub gives one to his sister, so there are 3 - 1 = <<3-1=2>>2 green pins remaining in the bag. The rest of the pins in the bag must be yellow, so there are 2 green and 7 - 2 = <<7-2=5>>5 yellow pins remaining in the bag.

Answer:2 green 5 yellow

Step-by-step explanation:

The endpoints of AB are A(2, 5) and B(-4, 7)
Find the coordinates of the midpoint.

Answers

Midpoint formula (x + x) /2 =( y + y) /2

2 + (-4) = -2 / 2 = -1

5 + 7 = 12 / 2 = 6

Answer = -1, 6
Other Questions
Match each system on the left with all words that describe the system on the right. Choices on the right can be used more thanonce.y = -2x+34x + 2y = 6y = -2x+34x+y=9y = -2x+34x + 2y = 9inconsistentconsistentindependentdependent HELPPP!!!!!Write a 4-5 sentence what is the plot-line of the book Divergent. In this lesson, you read examples of free-verse poems. Now it's time to write a free-verse poem of your own.Remember, free-verse poetry lacks a set pattern. This keeps the speaker from falling into a dull, repetitive beat. There is no regular rhyme scheme, though poets may choose to use internal rhyme. In addition, poets can vary the length of stanzas or use unusual line breaks. They may use repetition, like anaphora, to draw attention to an idea. They can also incorporate sound devices to create a pleasing sound, including internal rhyme - rhyming one word with another in a line alliteration - repeating the initial consonant sound in two or more words in a line assonance - repeating the vowel sound of words in a line consonance - repeating the consonant sound of words in a line anaphora - repeating the opening words or phrase at the beginning of two or more linesPrompt:Compose a poem using free verse. After you write your poem, write a paragraph that explains the characteristics you used in the poem, like stanza length, line breaks, and any sound devices used. Be sure to analyze the effects of using those characteristics in your poem. Financing with _____ requires borrowing, whereas financing with _____ requires issuing shares of stock. the federal government makes interest payments on __________ while youre enrolled in school at least half-time, for the first six months after you leave school, and during any period of deferment. reformers who want more aggressive reforms than those found in bcra are most eager to control what kinds of groups? You can hand in this assignment by attaching a Microsoft word document or by writing it in the response box of the assignment. You must write at least three to four paragraphs to the response question per week. Any less will incur a penalty of points. Response Question:As a member of the British Parliament, you vote against repealing the Stamp Act. Brainstorm 3 possible solutions that you think would work better Whats the value of -(-20) Lower nominal interest rates the amount of money demanded and a lower price level the amount of money demanded. Help pls I dont understand a subroutine was called using a conditional branch (br) instruction. the subroutine ends, as usual, with a ret instruction. what will happen when the subroutine terminates? Suman has a piece of land, which is in the shape of a rhombus. She wants her two sons to work on the land and produce different crops. She divides the land in two equal parts by drawing a diagonal. If its perimeter is 400 m and one of thediagonals is of length 120 m, how much area each of them will get for his crops ? Please help me with the question along with steps. 16. Ana plans to borrow $5,000 for ten years. Thereis an annual interest rate of 3.99%, and threeoptions are available: [a] Monthly simpleinterest; [b] Quarterly compound interest; or [c]continuous compound interest. Which of option(a, b, or c) should Ana choose?[A] Option (c) because she earns the most ininterest ($2,451.67).[B] Option (b) because she pays the least ininterest ($136.95).[C] Option (a) because she earns the least ininterest ($258.45).[D] Option (a) because she pays the least ininterest ($166.25).[E] Option (c) because she pays the least ininterest ($495.67). if the price level recently increased by 20% in england while falling by 5% in the united states, by how much must the exchange rate change if ppp holds? assume that the current exchange rate is 0.55 pound per dollar. mishkin, frederic s. economics of money, banking and financial markets, the (what's new in economics) (p. 426). pearson education. kindle edition. What was life like for free African Americans in the early national period? How did they build strong communities while struggling against racism and discrimination? what period do you expect to find for small amplitude swinging motion of a rock tied to a 1.0 m long string? True or false: The European Union is way ahead of the United States on use of Data Analytics in a tax audit, both by the regulator and the company hoping not to be audited. A dilation from center O with scale factor r= 1/4 maps a point P to another point P. Then a second dilation from O with scale factor r maps P to P.What is the value of r? What role did industrialization have in leading to modern reform movements? It decreased the power of the middle class. It made farmers a more potent political force. It intensified urbanization. It made monarchs desire constitutions. 6) suppose the amount of mass in a black hole doubles. does the event horizon change? if so, how does it change?