Quadrilateral cdef is inscribed in circle a. if m∠c = 7x 11° and m∠e = 6x°, what is the measure of ∠e? 78° 85° 95° 102°

Answers

Answer 1

The measure of angle E in the quadrilateral CDEF which is inscribed in a circle is given by option a. 78 degrees.

Quadrilateral CDEF is inscribed in circle A

m∠C = 7x° + 11

And m ∠E = 6x°

When a quadrilateral is inscribed in a circle, opposite angles are supplementary.

m∠C + m ∠E = 180°

Substituting the given values, we get,

⇒ 7x° + 11  + 6x° = 180

Simplifying and solving for x, we get,

⇒13x + 11 = 180

⇒13x = 169

⇒ x = 13

Now substitute the value of x, to get the measure of ∠E,

m ∠E = 6x°

⇒m ∠E = 6(13)°

⇒ m ∠E = 78°

Therefore, the measure of ∠E in given quadrilateral is option a. 78 degrees.

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The above question is incomplete, the complete question is:

Quadrilateral CDEF is inscribed in circle A. If the m∠C = 7x° + 11 and m ∠E = 6x°, what is the measure of ∠E?

78°

85°

95°

102°


Related Questions

A survey found that 8 out of 10 parents approved of the new principal’s performance. If 4 parents name are chosen with replacement what is the probability they all approve of the principal’s performance

Answers

Answer:

The probability is 0.044

Step-by-step explanation:

Step-by-step explanation:

Let p be the probability that the new principal’s performance is approved.

This is obtainable from the survey and it is 8/10 = 0.8

Let q be the probability that the new principal’s performance is disproved.

That will be;

1 - q = 1- 0.8 = 0.2

To calculate the probability that 14 parents names are chosen at random and they all

approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.

That will be;

14C14 * p^14 * q^0

= 1 * 0.8^14 * 0.2^0

= 0.043980465111 which is approximately 0.044

In 15 words or fewer, will dividing the two polynomials in the table produce another polynomial? Why or why not?

Answers

Dividing two polynomials may produce another polynomial only when the divisor has a lower degree than the dividend. Otherwise, it will generally result in a rational function.

No, dividing two polynomials may not result in another polynomial. It can produce a rational function.

A polynomial is an algebraic expression consisting of terms with non-negative integer exponents. When two polynomials are divided, the result is not always a polynomial.

If the degree of the polynomial being divided (dividend) is higher than the degree of the polynomial dividing (divisor), then the result can be a polynomial with a lower degree. However, if the degree of the divisor is equal to or greater than the degree of the dividend, the result will generally be a rational function, which is a ratio of two polynomials.

A rational function has the form P(x)/Q(x), where P(x) and Q(x) are polynomials and Q(x) is not equal to zero. The division can introduce terms with negative or fractional exponents, making the result a rational function rather than a polynomial.

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I need help On these 8 questions that are blank

I need help On these 8 questions that are blank

Answers

Answer:

X = 5

Step-by-step explanation:

3x + 12 + 9x = 72

okay hopefully i can explain so when your doing this combine like terms so

3x + 9x = 12x

12x + 12 = 72

then you would subtract both sides by 12

+12 = subtract x+12=2

- 12 = add x-12=2

there just flipped so in this case i would subtract 12

12x + ( 12-12) = ( 72-12 )

so 12-12 = 0 and 72-12 is equal to 60

12x = 60

the divide on both sides l but leave the x alone so its just 60 divided by 12 wich is 5

so X = 5

hope this helps with ur homework a little btw go back and redo ur other awnsers with this new concept hope it helps

if the polynomial p(x) is being divided my x-r, the remainder is p(r) TRUE OR FALSE

Answers

Answer:

True. Remainder when divided by (x-r) is p(r).

Answer:

TRUE

Step-by-step explanation:

Let p(x) is divided by (x-r)

Then, by division algorithm of polynomials

p(x) = (x-r) Q(x) + R

R is the remainder and it is a constant because according division algorithm degree of remainder is always less than degree of divisor and greater than Or equal to 0. So it is 0.

Q(x) is quotient.

Now, if we particularly put x = r in the equation, we get.

p(r) = ( r-r) Q(r) + R p(r) = R

PLS HELPPPPP!!!!!!!!

PLS HELPPPPP!!!!!!!!

Answers

Answer:

7) 7500m

8) 4cm

..........

What are the Miller indices for the plane shown in the following cubic unit cell and Explain why? O (201) O (10 1/2) O (1 infinity 1/2) O (102)

Answers

The plane intercepts on the x,y, z axes are 1, ∞, and 1/2. Hence, the Miller indices for the plane inside the cubic unit cell is (102).

Miller indices are used to specify planes and directions. These planes and directions could be in lattices or crystals. The number of indices will correspond to the size of the lattice or crystal.

Steps to find the Miller indices:Determine intercepts of the planes with the x, y, and z axes.Use fractional coordinates to specify intercepts.Take the reciprocals of the fractional intercepts

In the given graph, the plane intercepts are:

x-intercept : 1

y-intercept : ∞  (since the planes does not intercept y-axes)

z-intercept = 1/2

Take the reciprocal:

1/1 = 1

1/∞ = 0

1/(1/2) = 2

Hence, the miller indices are (102)

The graph in your question is missing. Most likely it was like on the attached picture.

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What are the Miller indices for the plane shown in the following cubic unit cell and Explain why? O (201)

please help me on this will give you brainliest!

please help me on this will give you brainliest!

Answers

Answer:

∠V = 33°

∠W = 90°

∠X = 57°

Step-by-step explanation:

In a right triangle, the sum of the acute angles is 90 degrees

(2x+3) + (3x+12) = 90

combine like terms

5x + 15 = 90

5x = 75

x = 15

∠V = 2x+3, x=15

2(15) + 3

30 + 3

33°

∠X = 3x+12, x=15

3(15) + 12

45 + 12

57°

The guy above pretty much answered it

easy please helppp match the following defintion with the correct term: the vertical distance between two points on a line


1. run
2. rate of run
3. slope
4. rise

Answers

Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

18 pieces of furniture by this Saturday. The materials for each bookcase cost him $20.00 and the materials for each TV stand cost him $40.00. He has $600.00 to spend on materials. Andrew makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand. Find how many of each piece of furniture Andrew should make so that he maximizes his profit.

Answers

Andrew should make 6 bookcase and 12 tv stand to maximize his profut $1560.

Given that 18 pieces of furniture is made and the materials for each bookcase cost him $20.00 and the materials for each TV stand cost him $40.00 and he has $600.00 to spend on materials. He makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand.

Let x represent the number of book case and let y represent number of tv stand.

Total number of book case and total number of tv stand is x+y≤18     ......(1)

Total amount of book case and total amount of tv stand is 20x+40y≤600   ......(2)

minimum amount of book case is x≥0 and minimum amount of tv stand is y≥0.

Now, solve the inequality (1) by converting it into equality and substituting x=0 and y=0, we get

x+y=18

When x=0 then

0+y=18

y=18

When y=0 then

x+0=18

x=18

Now, solve the inequality (2) by converting it into equality and substituting x=0 and y=0, we get

20x+40y=600

When x=0 then

20(0)+40y=600

40y=600

y=15

when y=0 then

20x+40(0)=600

20x=600

x=30

Further, we will grph the inequalities and we get feasible region and taking boundary point from graph.

From the graph the vertices of the feasible region is (0,0),(6,12),(0,15) and (18,0)

Further, we will find the maximization profit for the equation Z=60x+100y

When (x,y)=(0,0) then

Z=60(0)+100(0)

Z=0

When (x,y)=(6,12) then

Z=60(6)+12(100)

Z=360+1200

Z=1560

When (x,y)=(0,15) then

Z=60(0)+12(15)

Z=0+1500

Z=1500

When (x,y)=(18,0) then

Z=60(18)+100(0)

Z=1080

Hence, maximum profit is $1560 when andrew should build 6 bookcase and 12 tv stand.

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18 pieces of furniture by this Saturday. The materials for each bookcase cost him $20.00 and the materials

pls help im having so much trouble with this along with my friends :(

pls help im having so much trouble with this along with my friends :(

Answers

i think it’s cfe > and afe
The third option I think hope this helps

PLD HELP ME I WILL FAIL PLS​

PLD HELP ME I WILL FAIL PLS

Answers

Answer:

8 recipes

Step-by-step explanation:

make 1 1/4 into decimal

makes it easier

10 divided by 1.25

8 recipes

Subtract. Write your answer in scientific notation.
(8 × 107) - (6.87 × 105)
1.13 x 105
Submit
7.313 x 10
4
1.13 x 10
7.313 × 10²

Answers

The value of the expression after subtraction in scientific notation is

7.93 × 10⁷ .

The given expression is (8 × 10⁷) - (6.87 × 10⁵)

Now we will subtract the values in general form:

80000000 - 687000 = 79313000

Now we will write the result in scientific notation as:

79313000 = 7.9313 × 10⁷ ≈ 7.93 × 10⁷

Therefore value of the expression after subtraction in scientific notation is

7.93 × 10⁷ .

When a number is either too big or too little to be expressed in decimal form, scientific notation must be utilised, which usually results in a long string of digits. It is often referred to as scientific form or standard index form.

This base ten notation is widely used by scientists, mathematicians, and engineers since it may make a variety of mathematical procedures simpler. An essential figure is a digit that increases a number's accuracy. All non-zero numbers, zeros between significant digits, and significant zeroes are included in this.

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Vince borrows $900 to buy a couch. He will pay off the loan by paying 1.5% simple interest for 2 years. Vince incorrectly calculates the amount he will pay back using the expression below. 900 + 900(1.015 • 2) What is the correct amount Vince will pay back altogether? Explain the error in Vince's expression. A. 00:00 $903; Vince should have subtracted the first 900 from the amount he will pay. B. 00:00 $913.50; Vince multiplied by the wrong number of years. C. 00:00 $927; Vince wrote the wrong number to represent the interest rate. D. 00:00 $1,813.50; Vince forgot to add the initial $900 to the amount he will pay.

Answers

Answer: C. 00:00 $927; Vince wrote the wrong number to represent the interest rate.

Step-by-step explanation:

Given that:

Amount borrowed (p) = 900

Simple interest (r) = 1.5% = 0.015

Time (t) = 2 years

Amount he'll pay back (A) :

A = P(1 + rt)

A = 900(1 + 0.015(2))

A = 900(1 + 0.03)

A = 900(1.03)

A = $927

Solve by using distributive property.

-3(m - 2) = 21

Answers

Answer:

m=-5

Step-by-step explanation:

distribute -3: -3m+6=21

subtract 6 from both sides: -3m=15

divide by negative three: m=-5

Answer:

m = -5

Step-by-step explanation:

-3(m-2)=21

-3m + 6 = 21

-3m = 15

         15

m = --------

         -3

m = -5

Find the distance between (-2,7) and (3, -3). Round to the nearest tenth. Geometry please help

Answers

Answer:

15

Step-by-step explanation:

The formula for distance when given vertices is

√(x2 - x1)² + (y2- y1)²

Where we have points (x1,y1) and (x2,y2)

So, (-2,7) and (3, -3)

Distance = √(3 -(-2))² + (-3 -7)²

= √5² + (-10)²

= √25 + 100

= √125

= 15

Therefore, the distance between (-2,7) and (3, -3) is 15

What is the correct solution set for the following graph?
{ } or empty set
{point in Quadrant I}
{point in Quadrant IV}
{infinite set of points on the line}

What is the correct solution set for the following graph?{ } or empty set{point in Quadrant I}{point

Answers

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The lines shown in the graph are parallel to each other so they can't intersect each other, therefore there is no solution ~

No solution is represented by " Empty set {Φ} "

The sum of two numbers is 12 and their difference is 4
write down two equations to describe given equation
solve the simultaneous equations to find the two numbers

Answers

Answer:

8 and 4

Step-by-step explanation:

let the 2 numbers be a nd b

equations :

a + b = 12

a - b = 4

Adding the two equations

a + b + a - b = 12 + 4

2a= 16

a = 8

b = 4

the ratio of children to adults is two to seven. there are 100 more adults than children. how many adults and children are in the restaurant?

Answers

Answer: There are 140 adults and 40 children.

Step-by-step explanation:

Let 2x = Number of children

7x = Number of adults.

As there are 100 more adults than children.

That means, \(7x-2x = 100\)

\(\Rightarrow\ 5x=100\\\\\Rightarrow\ x=\dfrac{100}{5}\\\\\Rightarrow\ x=20\)

Number of children =  2 (20)=40

Number of adults = 7(20) = 140

Hence, there are 140 adults and 40 children.

Use the figures below to answer the following question. Panel A is most likely showing a and Panel \( B \) is showing Panel A Panel B regression discontinuity design; difference-in-difference design

Answers

Based on the information provided, Panel A is most likely showing a regression discontinuity design, while Panel B is showing a difference-in-difference design.

In a regression discontinuity design, the treatment group is determined based on a cutoff point, such as a certain score on a test.

The figure in Panel A likely shows a clear cutoff point, with one group on each side of the cutoff. This design is used to estimate the causal effect of a treatment by comparing the outcomes of individuals just above and just below the cutoff.In a difference-in-difference design, the treatment group is compared to a control group before and after the treatment is introduced. The figure in Panel B likely shows two lines, one for the treatment group and one for the control group.

This design is used to estimate the causal effect of a treatment by examining the difference in outcomes between the treatment and control groups before and after the treatment.

To summarize, Panel A most likely shows a regression discontinuity design, while Panel B most likely shows a difference-in-difference design.

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you have fifteen slices of bread and five servings of peanut butter. how many sandwiches can you make

Answers

Answer: 5

Step-by-step explanation:

15 odd number

closest even is 14

14/2 =7 but you only have 5 servings of PB

so its 5

The function f(x) is a quartic function and the zeros of f(x) are -5, 3, 4 and 6.
Assume the leading coefficient of f(x) is 1. Write the equation of the quartic
polynomial in standard form.
Help fast plz

Answers

Answer:

Step-by-step explanation:

The function f(x) is a quartic function and the zeros of f(x) are -5, 3, 4 and 6.Assume the leading coefficient

the difference between 40.33% and 24.07%, percentage-wise?

Answers

16.26%

40.33-24.07= 16.26

A company sells two different safes. The safes have different dimensions, but the same volume. What is the height of Safe B?



Safe A is a rectangular prism with a length of 18 inches, a width of 15 inches, and a height of 24 inches. Safe B is a rectangular prism with a length of 18 inches, a width of 18 inches, and a height of h inches

Answers

Answer:

125/6

Step-by-step explanation:

So if these two have the same volume it is just the sense of plugging number in. Let’s first find the whole volume of cube a


Cube A : L x W x H

             18 x 15 x 25

             270 x 25

             6750 inches cubed


now let’s find what we know of cube b


Cube B: L x W x H

             18 x 18 x h

             324 x h


Now we know that in order for the volumes to be the same, we have to find a number that when multiplied by 324 would give us 6750. We can do this by dividing the two numbers


6750 / 324

125/6


when we multiply

18 x 18 x (125 / 6)

We get a volume of 6750


lmk if this helps

The height of safe B is 20 inches.

How do you determine the volume of a rectangular prism?

The volume of a rectangular prism is the product of all its dimensions.

∴ The volume of a rectangular prism = height*width*length

How do we solve the given question?

We are given dimensions of two safes A and B, in the shape rectangular prism.

Denoting safe A with subscript 1, and the safe B with subscript, we get:

l₁ = 18 inches, w₁ = 15 inches, h₁ = 24 inches.

l₂ = 18 inches, w₂ = 18 inches, h₂ = h inches.

We are told that the volumes of the safe A and B are equal, so

The volume of safe A = The volume of safe B

or, 18*15*24 = 18*18*h

or, h = (18*15*24)/(18*18) = 20

∴ The height of safe B is 20 inches.

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Victor runs 1/2 of a mile each day. Steve runs 3/4 of the distance that Victor runs. How long does Steve run?

Answers

Steve runs \(\frac{3}{8}$\) of a mile each day.

What is Miles?

For instance, traveling at 60 mph equates to traveling 60 miles per hour. There are an hour in 60 minutes, so partition the miles by that sum, and presto! One mile can be covered in one minute.

According to question:

Victor runs \(\frac{1}{2}$\) of a mile each day.

Steve runs \(\frac{3}{4}$\) of the distance that Victor runs, which is \(\frac{3}{4} \times \frac{1}{2} = \frac{3}{8}$\) of a mile.

Therefore, Steve runs \(\frac{3}{8}$\) of a mile each day.

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Write a number in each blank to complete an inequality Lydia can use to find how many pounds of Pumpkin Spice coffee, p, she can buy along with 2 pounds of Dark Roast coffee.

Answers

Missing part of the question:

Lydia is at a coffee shop and knows  she can spend no more than $65  before tax. She sees this price list in  the coffee shop.

Item                                               Price per pound

Dark Roast Coffee                       $7.50

Pumpkin Spice Coffee                 $10.50

 

 Answer:

\(15.0 + 10.50p \le 65\)

\(p \le 4.76\)

Step-by-step explanation:

From the question, we understand that she wants to buy 2 pounds of dark roast coffee.

If 1 pound costs $7.50, then 2 pounds cost $15.0 (i.e. $7.50 * 2)

If 1 pound of pumpkin spice coffee costs $10.50, then p pounds cost $10.50p (i.e. $10.50 * p)

So, her total spendings (before tax) is:

Spendings = 15.0 + 10.50p

We also know that she plans to spend not more than $65.

The inequality that represents this scenario is:

\(Spendings \le 65\)

\(15.0 + 10.50p \le 65\)

Solving further:

\(10.50p \le 65 - 15.0\)

\(10.50p \le 50.0\)

Make p the subject

\(p \le \frac{50.0}{10.50}\)

\(p \le 4.76\) -- approximated

Which of the following is the quotient of the rational expressions shown below?

Which of the following is the quotient of the rational expressions shown below?

Answers

The quotient of the rational expressions is 4(x+2) / 5(x-1) (x-1)

Which is rational expressions?

The quotient of the rational expressions is

4(x+2) / 5(x-1) (x-1)

The quotient of the rational expressions shown below

Explanation in detail:

Two expressions are shown here.

Expression 1 : 2x/x-1

Expression II for 5x/2x+4.

The product of expressions I and II must be calculated.

(2x / x-1 ) ÷ (5x / 2x+4)

applying the upcoming regulation

a ÷ b = a× 1/b

(2x/x-1)×( 2x+4 / 5x)

(2x) (2x+4) / (x-1)(5x) (5x)

(2) (2) (x+2) / (x-1)(5) (5)

The solution to the previous question is 4(x+2) / 5(x-1).

The quotient of the rational expressions is 4(x+2) / 5(x-1) (x-1)

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Assume we have two events, A and B, that are mutually exclusive. Assume further we know P(A) = .30 and P(B) = .40.
What is P(A ⋂ B)?
What is P(A | B)?

Answers

Since A and B are mutually exclusive, the probability of A occurring given that B has already occurred is 0. This means that P(A | B) = 0.

P(A ∩ B) = 0, since the events are mutually exclusive.

P(A | B) = 0, since the probability of A given B is 0 when A and B are mutually exclusive.

Since A and B are mutually exclusive, they cannot both occur at the same time. This means that the probability of them both happening at the same time is 0. As a result, P(A ∩ B) = 0.

Since A and B are mutually exclusive, the probability of A occurring given that B has already occurred is 0. This means that P(A | B) = 0.

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A bag of apple weigh 350 g. A box can hold 12 bag of apple. What would be the ma of 20 boxe of apple? Give your anwer in kilogram

Answers

The mass of  1 box of the weight of 20 boxes of apples is 84 kg.

Given that,

The weight of a single bag of apples = 350 grams.

No. of bags hold by one box = 12

The total weight of a single box is 12 x 350 grams = 4200 grams.

Now we multiply the weight of a single box (4200 g) by 20, which gives us 4200 g x 20 = 84,000 grams.

Since the final answer is asked in kilograms, we divide the weight in grams by 1000, which gives us 84,000 g ÷ 1000 = 84 kilograms.

Therefore, the total weight of 20 boxes of apples would be 84 kilograms.

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Sum of the arithmetic sequence- Find each sum: 5+ 9 +13 + ... +49

Answers

ANSWER

324

EXPLANATION

We want to find the sum of the arithmetic progression:

\(5+9+13\ldots_{}+49\)

To do that we apply the formula for the sum of an arithmetic sequence:

\(S_n=\frac{n}{2}(a+l)\)

where a = first term

l = last term

n = number of terms

We have to find n by using the last term:

\(a_n=a+(n-1)d\)

d = common difference

The common difference is 4. Therefore, we have to find n:

\(\begin{gathered} 49=5+(n-1)\cdot4 \\ 49=5+4n-4 \\ 49=1+4n \\ \Rightarrow4n=49-1=48 \\ n=\frac{48}{4} \\ n=12 \end{gathered}\)

There are 12 terms.

Therefore:

\(\begin{gathered} S_n=\frac{12}{2}(5+49)=6\cdot(54) \\ S_n=324 \end{gathered}\)

That is the sum of all the terms.

the walt disney company has successfully used related diversification to create value by:

Answers

The Walt Disney Company has successfully used related diversification to create value by leveraging its existing brand and intellectual properties to enter new markets and expand its product offerings.

Through related diversification, Disney has been able to extend its brand into various industries such as film, television, theme parks, consumer products, and digital media. By utilizing its well-known characters and franchises like Mickey Mouse, Disney princesses, Marvel superheroes, and Star Wars, Disney has been able to capture the attention and loyalty of consumers across different age groups and demographics.

For example, Disney's acquisition of Marvel Entertainment in 2009 allowed the company to expand its presence in the superhero genre and tap into a vast fan base. This strategic move not only brought in new revenue streams through the production and distribution of Marvel films, but also opened doors for merchandise licensing, theme park attractions, and television shows featuring Marvel characters. Disney's related diversification strategy has helped the company achieve synergies between its various business units, allowing for cross-promotion and cross-selling opportunities.

Furthermore, Disney's related diversification has also enabled it to leverage its technological capabilities and adapt to the changing media landscape. With the launch of its streaming service, Disney+, in 2019, the company capitalized on its vast library of content and created a direct-to-consumer platform to compete in the growing digital entertainment market. This move not only expanded Disney's reach to a global audience but also provided a new avenue for monetization and reduced its reliance on traditional distribution channels.

In summary, Disney's successful use of related diversification has allowed the company to create value by expanding into new markets, capitalizing on its existing brand and intellectual properties, and leveraging its technological capabilities. By strategically entering complementary industries and extending its reach to a diverse consumer base, Disney has been able to generate revenue growth, enhance its competitive position, and build a strong ecosystem of interconnected businesses.

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GIS is a type of software that is a new technology in geography. GIS stands for __________.A.Geographic Information SystemsB.Geographic Image SystemC.Global Image SystemD.Global Information Systems I need help with this one question it say select all of the terms that describe each number [tex] \sqrt{50} [/tex]then it say is it natural, whole, integer, rational or irrational The terrestrial carbon cycle involves several processes that take carbon out of the atmosphere and then return carbon to the air. What part of the carbon cycle is represented by the letter "X" in this diagram? Graph the first five ordered pairs for the sequence given by the formula an = 2+4(n - 1). A study of blood tissue is called What is your response to this question gii phng trnh tan6x nhn tan7x= -1 what the main causes of soil degradation in ethiopia? Choose the correct question:What your family want to do?O What your family wants to do?O What does your family want to do?O What do your family want to do? The height and weight of adults can be related by the equation y=48.3x127 where x is height in feet and y is weight in pounds.What does the slope of the line represent?A. the average number of pounds per foot tallB. the number of pounds heavier an adult one foot taller would weighC. the height of an adult weighing zero poundsD. the number of adults in the sample Which of the following statements is TRUE with respect to the applicability of IAS 21? A )IAS 21 does not apply to hedge accounting for foreign currency items b )IAS 21 does not apply to the translation of an entitys financial statements to a presentation currency c IAS 21 applies to hedge accounting for foreign currency items d IAS 21 does not apply to the accounting for foreign currency denominated transactions Square ABCD is inscribed in a circle of radius 3. Quantity A Quantity B 20 The area of square region ABCD Quantity A is greater. Quantity B is greater. The two quantities are equal. The relationship cannot be determined from the information given. Javier invests $14,000 at 4% simple interest for 36 years.Round your answers to the nearest cent.How much interest is earned over the 36 year period?$How much is in the account at the end of the 36 year period? An object moves in simple harmonic motion with period 7 minutes and amplitude 18m. At time t=0 minutes, its displacement d from rest is -18m, at initially it moves in a positive direction. Give the equation modeling the displacement d as a function of time t. Meteorologists use weather balloons to carry weather instruments high into the atmosphere. when it is first released at earths surface, a weather balloon typically appears underinflated. what happens to the balloons volume and pressure as it rises into the atmosphere? check all that apply. the pressure in the balloon decreases. the pressure in the balloon increases. the volume of the balloon increases. the volume of the balloon decreases. QUESTION 4 For the following demand function: Q(P) = 10848-48P Calculate the price where the quantity demanded falls to zero QUESTION 5 For the following demand and supply curves: 4 Qa(P) 2153-7P Qs(P)=255+ 19P Please find the equilibrium QUANTITY QUESTION 6 What is the net present value of receiving $300 in 1 year from now if the interest rate is 12%? by how much is the product of 9/5 and 33/4 greater than 5 What describes an alternating current? (Choose all that apply)can be transmitted over great distancesmoves in two directionscan be used only for short distancesmoves in only one direction Explain the significance of the Mahabharata and Ramayana ABC is an isosceles triangle with BA = BCD lies on ACABD is an isosceles triangle with AB = ADAngle ABD = 72Show that triangle BCD is isosceles.You must give a reason for each stage of your working. PLEASE HELP.. WHAT IS THE REASON??????