what is the value of x in the diagram below ?

What Is The Value Of X In The Diagram Below ?

Answers

Answer 1

Answer:

x = 9

Step-by-step explanation:

12^2 + a^2 = 54^2

a^2 = 54^2 - 12^2

a = sqrt (54^2 - 12^2) = 6 * sqrt(77)

Then calculate it for another triangle, where each side is 6 times shorter (as 12/2 = 6):

2^2 + (sqrt(77))^2 = x^2

x^2 = 81

x = 9


Related Questions

John creates a regression line for his data and then plots the residuals. The residual plot looks like a quadratic function. What does this mean?
A) A pattern in the residuals has no meaning.
B) That the original data forms a quadratic pattern.
C) That his regression equation is a quadratic function.
D) That the regression equation is not a good fit for the data.

Answers

Based on the information given regarding the regression line, the correct option is D. That the regression equation is not a good fit for the data.

What is a regression line?

A regression line simply means a single line that best fits the data. It should be noted that the formula for the regression line is y = mx + b.

Based on the question asked, since the residual plot looks like a quadratic function, it means that the regression equation is not a good fit for the data.

If the regression line is a good fit for the model, there'll be no pattern in the residual. In this case, since there is a residual, it means that the regression equation is not a good fit for the data.

Learn more about regression on:

https://brainly.com/question/25987747

A residual plot showing a quadratic pattern suggests the current linear regression model is inappropriate and a non-linear model might be required. Answer D is correct: the residual plot indicates the regression equation is not a good fit for the data.

When a residual plot exhibits a pattern, such as a quadratic function, this indicates that the regression equation used to fit the data may not be appropriate; specifically, it suggests that a linear model does not properly capture the relationship between the variables. Instead, the underlying relationship may be better modeled with a non-linear equation, such as a quadratic function.

The correct answer to the student's question is D) That the regression equation is not a good fit for the data.

A good residual plot will have residuals scattered randomly around the horizontal axis, which means that the regression model adequately captures the pattern in the data.

if lines m and n are parallel, and < 1 measures 125°, which is the measure of < 2?

a. 25°

b. 40°

c. 55°

d. 150°

Answers

C. 55 degrees.
Solving: Since it’s on the same line, you can do 180 - 125 to solve for.

Answer: 55°


Step-by-step explanation:

Line n is irrelevant.


Angle 1 plus angle 2 is 180° because line m is a straight line


180 - 125 is 55

Lucia has 48 markers and 64 stickers that she wants to give as favors for a party. She wants to put an equal number of markers and an equal number of stickers into each favor bag. She uses all the markers and stickers

Answers

Answer:

8

Step-by-step explanation:

1) find the least common denominator

48/8=6

64/8=8

2) check

8 times 6 is 49

8 times 8 is 64


A part of your bike has broken. You decide to send it back for a full refund. It has cracked along every line of symmetry.



How many lines of symmetry does the shape have?

Answers

Answer:

1

Step-by-step explanation:

line is going along the whole bike


which graph represents the function f(x)=-3x-2?

Answers

heres a trick: if you go to desmos.com/calculator you can type in your equation and it will show you it on the graph.

since f(x)=y you can say y=-3x-2 and it will show you!


Answer:

Option D.

Step-by-step explanation:

The given function is

[tex]f(x)=-3^x-2[/tex]

We need to find the graph of given function.

At x=0,

[tex]f(0)=-3^(0)-2=-3[/tex]

Similarly, substitute the different values of x and find the values of y.

Table of values

x                 y

-1             -2.33

0               -3

1                -5

2              -11

3              -29

Plot these ordered pairs on a coordinate plane and connect them by a free hand curve. The graph of given function is is shown below.

Therefore, the correct option is D.

evaluate ( 25/36)^ 1/2.

Answers

ANSWER:

5 / 6

When ( 25 / 36 )^1/2 is evaluated, the answer is 5 / 6.

STEP-BY-STEP EXPLANATION:

= ( 25 / 36 )^1/2

= ( 25^1/2 ) / ( 36^1/2 )

= 5 / 6

Answer:

The correct option is C.

Step-by-step explanation:

The given expression is

[tex](\frac{25}{36})^{\frac{1}{2}[/tex]

It can be written as

[tex]\sqrt{\frac{25}{36}}[/tex]                          [tex][\because x^{\frac{1}{2}=\sqrt{x}][/tex]

Using the property of radical expression, we get

[tex]\frac{\sqrt{25}}{\sqrt{36}}[/tex]                          [tex][\because \sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}][/tex]

[tex]\frac{5}{6}[/tex]

The value of given expression is 5/6. Therefore the correct option is C.

two runners start 30kilometer apart and run toward each other. they meet after 3hours. One Runner runs 2 kilometers per hour faster than the other runner. What rate do they run

Answers

Let the slower runners speed be X kilometers per hour.

Then the faster runners speed would be X+2 kilometers per hour.


The formula for distance is Speed times time.

The distance is given as 30 kilometers and time is given as 3 hours.


Since there are two runners you need to add the both of them together.

The equation becomes 30 = 3x + 3(x+2)

Now solve for x:

30 = 3x + 3(x+2)

Simplify:

30 = 3x + 3x +6

30 = 6x + 6

Subtract 6 from each side:

24 = 6x

Divide both sides by 6:

x = 24/6

x = 4


The slower runner ran at 4 kilometers per hour.

The faster runner ran at 4+2 = 6 kilometers per hour.


f(x) = x + 5 If you know that the range is {0, 10}, then... The domain must be ??

Answers

Answer:

domain {- 5, 5 }

Step-by-step explanation:

given values in the range, that is values of y then to find the domain equate f(x) to the given values in the range, that is

x + 5 = 0 ⇒ x = - 5

x + 5 = 10 ⇒ x = 10 - 5 = 5

domain is x ∈ { - 5, 5 }



jeff invested 3000 in an account that earn 6.5% interest compounded annually. the formula for compound is A(t)=p(1+i)t. how much did jeff have in the account after 3 years

Answers

Answer:

Jeff had in the account 3,623.85 after 3 years

Step-by-step explanation:

Investment: p=3,000

Interest: i=6.5%=6.5/100→i=0.065

Time (in years): t=3

A(3)=?

A(t)=p(1+i)^t

t=3→A(3)=p(1+i)^3

Replacing the given values:

A(3)=3,000 (1+0.065)^3

A(3)=3,000 (1.065)^3

A(3)=3,000 (1.207949625)

A(3)=3,623.848875

Rounding to the nearest hundredth:

A(3)=3,623.85


Help me on number problem 7 please

Answers

Answer:

D: (-infinity, infinity)   R: (-infinity, infinity)

Step-by-step explanation:

The absolute value of x - 3 is x+ 3.

y = x + 3 + 1

y = x + 4

Your y intercept is your c value. Your c value is 4.


4 is your y intercept.


Place a point on 4. This is your starting point. Rise over run is 1/1


To find the positive points, go up one from the y intercept and over one, repeating the process until you reach the edge of the graph.


To find the negative points, do the opposite. Go down one and to the left, but still repeat the process until you reach the end of the graph.


Linear equations are always ended with arrows on both sides, meaning that the line continues forever, or infinitely.


To find domain, look at the x values.


Because the lines go on infinitely, you know that your domain is (-infinity, infinity).


To find your range, look at your y values.


Because the lines go on infinitely, you know that your range is also (-infinity, infinity).


Make sure to use the symbol for infinity instead of the words. In case you do not know what the infinity symbol is, it simply looks like an 8 that is rotated 90 degrees.


What is e-1/2f when e=15 and f=2

Answers

Answer:

14

Step-by-step explanation:

Replace with the values

15-1/2(2) = 15-1 = 14

Answer:

14

Step-by-step explanation:

e-1/2f

Let e =15 and f =2

We can substitute these values into the expression

15 - 1/2 (2)

15 - 1

14

Crystal is writing a coordinate proof to show that the diagonals of a parallelogram bisect each other. She starts by assigning coordinates as given. A parallelogram graphed on a coordinate plane. The parallelogram is labeled A B C D. The coordinates of vertex A are 0 comma 0. The coordinates of vertex B a comma 0. The coordinates of vertex C are not labeled. The coordinates of vertex D are b comma c. Diagonals A C and B D intersect at point E whose coordinates are not labeled. Drag and drop the correct answer into each box to complete the proof. The coordinates of point C are (a + b,). The coordinates of the midpoint of diagonal AC¯¯¯¯¯ are ( a+b2 ,). The coordinates of the midpoint of diagonal BD¯¯¯¯¯ are (a+b2, c2) . AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E with coordinates (, c2 ). By the definition of midpoint, ≅CE¯¯¯¯¯ and BE¯¯¯¯¯≅ . Therefore, diagonals AC¯¯¯¯¯ and BD¯¯¯¯¯ bisect each other.

Answers

Answer: The coordinates of the midpoint of diagonal AC are [tex](\frac{a+b}{2} , \frac{c}{2} )[/tex]. The coordinates of the midpoint of diagonal BD are  [tex](\frac{a+b}{2} , \frac{c}{2} )[/tex] AC and BD  intersect at point E with coordinates [tex](\frac{a+b}{2} , \frac{c}{2} )[/tex]. By the definition of midpoint, CE ≅ EA and BE ≅ ED Therefore, diagonals AC and BD bisect each other.

Step-by-step explanation:

Since, here the coordinates of A ≡ (0,0) B ≡ (a, 0) D≡ ( b,c)

And, here ABCD is the parallelogram.

Therefore AB = CD

If y is the y-coordinate of C Then C≡(a+b, y)

⇒ [tex]a^2 + 0 = (a)^2 + (y-c)^2[/tex]

⇒ y =c

Thus, C≡(a+b, c)

The coordinates of the midpoint of diagonal AC are,

[tex](\frac{a+b}{2} , \frac{c}{2} )[/tex]

And,  The coordinates of the midpoint of diagonal BD are,

[tex](\frac{a+b}{2} , \frac{c}{2} )[/tex]

Since, by the below diagram AC and BD are intersecting at point E,

Where the  coordinates of E are,

[tex](\frac{a+b}{2} , \frac{c}{2} )[/tex]

Thus, E is the mid point of Both the segments AC and BD

Because, BE = ED and AE = EC

Therefore, we can say that both AC and BD bisect each other.



Answer:

the coordinate point C are (a+b,c)

The coordinates of the midpoint of diagonal AC¯¯¯¯¯ are (a+b/2, c/2)

The coordinates of the midpoint of diagonal BD¯¯¯¯¯ are (a+b/2, c/2)

AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E with coordinates ​(a+b/2, c/2)​

By the definition of midpoint, AE¯¯¯¯¯≅CE¯¯¯¯¯and BE¯¯¯¯¯≅DE¯¯¯¯¯

Step-by-step explanation:

Using the GCF, what is the factored form of 24v – 84?

Answers

Answer:

12(2V -7)

Step-by-step explanation:

Using the Greatest Common Factor, we need to find factor out the greatest common factor of the two numbers ; 24 and 84. That is; the greatest number that can divide 24 and 84

The easiest way to find the greatest common factors is;

1. To first find the factors of each number

2. Find the common factors of the two numbers

3. Find the greatest number among those factors

Factors are number that can divide a number without a remainder.

Factors of 24 are;   1, 2, 3, 6, 8, 12 and 24

Factors  of 84 are; 1, 2, 3, 6, 7, 12, 14, 42 and 84

common factors are the factors that are common between the two numbers. That is; factors we can find in 24 and as well as 84

common factors are;  1, 2, 3, 6, and 12

Greatest Common Factor : This is also known as the highest common factor, it is the highest among the common factors.

Greatest Common Factor is 12.

Now after we've gotten our Greatest Common Factor(GCF), The next is to factor out this Greatest Common Factor(GCF);

24v - 84 =  12(2v - 7)

Therefore, the factored form of 24v - 84 is  12(2v -7)

The factored form of the given expression is 12(2v-7)

Equations are expressions separated by an equal sign

Greatest common factor is the highest value that can go in a particular expressions

Given the expression 24v - 84

Find that factors of both terms

24v = 12 × 2v

84 = 12 × 7

Since 12 is common to both terms, hence the GCF form of the expression will be written as;

24v - 84 = 12(2v - 7)

Hence the factored form of the given expression is 12(2v-7)

learn more here: https://brainly.com/question/12536372

Two parallel lines are crossed by a transversal . What is the value of k?

Answers

Answer:

the answer issss

Step-by-step explanation:

k=60

Answer:

The value of is equal to [tex]k=60\°[/tex]

Step-by-step explanation:

we know that

[tex](2k+11)\°=131\°[/tex] -----> by alternate exterior angles

solve for k

[tex]2k=131\°-11\°[/tex]

[tex]k=120\°/2=60\°[/tex]

Simplify: -|-10| + 3-39/4

Answers

|-10| = 10

39/4 = 9 3/4

-|-10| + 3 - 39/4 = -10 + 3 - 9 3/4 = -7 - 9 3/4 = -16 3/4

(1.02 x 10^8) + (9.4 x 10^7) + (6.8 x 10^7)

I NEED HELP!!!!

Answers

1.02 x 10^8) + (9.4 x 10^7) + (6.8 x 10^7) = 246000000




Answer:

2.64 × 10⁸  

Step-by-step explanation:

When you add numbers in scientific notation, you must convert them to have the same exponents.

One way is to divide the pre-exponential term by some power of 10 and multiply the exponential term by the same number.

    1.02 × 10⁸              = 1.02 × 10⁸

+ (9.4/10¹) × (10⁷×10¹) = 0.94 × 10⁸

+ (6.8/10¹) × (10⁷×10¹) = 0.68 × 10⁸

                     TOTAL = 2.64 × 10⁸

Are these fractions proportional? 1/3 = 6/20

Answers

Answer:

They are not proportional.

Step-by-step explanation:

To check if the fractions are proportional, we can use cross products.

1                6

----- =  --------------

3                   20

1 * 20  = 3 * 6

20 = 18

This is not true, so they are not proportional.

Answer,

No


Explanation,

To find out if a pair of fractions are proportional you can use cross multiplication. Only fractions that are equivalent to eachother are proportional.

1/3 = 6/20

1 * 20 = 20

3 * 6 = 18

As we can see they are not equivalent, therefore it is not proportional.


Hope This Helps :-)



An artist is creating a large butterfly sculpture outside a museum. There is a circular dot on each wing made out of metal ring. The distance around each dot is 24π inches. The artist plans to fill the inside of each dot with blue colored glasses. What is the area of the blue glass will be needed to fill each butterfly dot?

Answers

Final answer:

The area of the blue glass needed to fill each dot is 144π square inches.

Explanation:

To find the area of the blue glass needed to fill each dot, we need to first determine the radius of the dot. The distance around each dot is given as 24π inches, which means the circumference of the dot is 24π inches.

Using the formula for circumference, 2πr = 24π, we can solve for the radius r, which is 12 inches. The area of the blue glass needed to fill each dot is then the area of a circle with radius 12 inches, which is given by the formula A = πr^2.

Substituting the value for r, we get A = π(12)^2 = 144π square inches.







What is the value of f(–1)?

Answers

Answer:

The answer is: 1

Step-by-step explanation:  f(1) = -1, so f(-1) must be 1.


The value of the function by using a given table would be, f (- 1) = 0

Hence, option 3 is true.

Given that,

The function to find the value, f (- 1)

Used the concept of function which stated that, A relation between a set of inputs having one output each is called a function.

Now from the given table,

At x = - 5;

f (- 5) = 4

Similarly,

At x = - 1;

f (- 1) = 0

Therefore, the value of function f (- 1) would be 0.

So, Option 3 is true.

To learn more about the function visit:

https://brainly.com/question/11624077

#SPJ6

The complete question is shown in the attached image.

if you have 5 apples and gave me 4 how many apples do you have

Answers

You are going to have 9 apples

Answer:

I would have 1 apple

Step-by-step explanation:

5 apples

Gave 4 away

5 - 4 = 1

So you would have 1 apple

Chris works at Higgins’ Automart and is selling a new Shelby Mustang for $59,000. If he earns a commission of 3%, how much money does he earn? Write a proportion and show all steps of your work.

The answer I came up with is 177.

Answers

The answer I think would be 177

Answer:

$1770

Step-by-step explanation:

Remember that percent means "out of 100". 3% as a ratio is 3:100 or 3/100.

59,000 is the total amount, the whole, so it corresponds to 100%.

The problem is asking:

59,000 is to 100 as what is to 3?

59,000/100 = x/3

Cross multiply:

100x = 59,000 * 3

100x = 177,000

x = 1770

The commission is $1770.

Gas costs $2.09 and you figure you will use 30 gallons on your trip with your two friends. You will stay 4 nights at a hotel (one room) for $98 a night, and spend $25 each per day on food for 5 days. What is the total cost of your trip?

Answers

Final answer:

The total trip cost, including gas, hotel, and food for three people, is $829.70, calculated by multiplying the quantities by their respective unit prices and summing up all costs.

Explanation:

Calculating the Total Trip Cost

To calculate the total cost of the trip, we need to consider the cost of gas, hotel, and food. For gas, the cost is $2.09 per gallon, and the consumption is 30 gallons. The hotel cost is $98 per night for 4 nights. Each person's food cost is $25 per day for 5 days.



Here is the detailed calculation:


 Gas Cost: 30 gallons × $2.09/gallon = $62.70
 Hotel Cost: 4 nights × $98/night = $392
 Food Cost per Person: 5 days × $25/day = $125
 Total Food Cost for 3 People: $125/person × 3 people = $375
 Total Trip Cost: Gas Cost + Hotel Cost + Total Food Cost = $62.70 + $392 + $375 = $829.70



Therefore, the total cost of the trip is $829.70.

Final Answer:

The total cost of the trip is $705.70.the total cost of the trip amounts to $705.70. This includes various expenses such as gas for the trip calculated at $62.70, hotel expenses totaling $392 for the four-night stay, and food expenses adding up to $375 for three people over five days.

Explanation:

To calculate the total cost, start with the gas cost: 30 gallons * $2.09/gallon = $62.70. Next, calculate the hotel expenses: 4 nights * $98/night = $392. Then, calculate the food expenses: 3 people * $25/day * 5 days = $375. Add all these expenses together: $62.70 (gas) + $392 (hotel) + $375 (food) = $829.70.

However, to account for the cost shared among friends, divide the total by 3: $829.70 / 3 = $276.57 per person. Finally, multiply the individual cost by 3 people to find the total cost: $276.57/person * 3 people = $829.70. The final total cost of the trip, considering shared expenses, is $705.70. This includes gas, hotel accommodation, and food for three individuals across the entire trip duration.

In summary, the total cost of the trip amounts to $705.70. This includes various expenses such as gas for the trip calculated at $62.70, hotel expenses totaling $392 for the four-night stay, and food expenses adding up to $375 for three people over five days.

The calculation incorporates sharing costs among the three friends, dividing the overall expenses equally. Each individual's share amounts to $276.57, resulting in a final total cost of $705.70 for the entire trip. This comprehensive calculation considers all major expenses incurred during the trip and divides the shared costs among the friends, arriving at the total trip expenditure.

3/4 (2a − 6) + 1/2  = 2/5 (3a + 20) what is the value of a

Answers

Answer:

A= 40

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3/4 (2a-6)+1/2=2/5(3a+20)

(3/4) (2a) + (3/4) (-6) + 1/2 = (3a) + (2/5) (20)

(distribute)

3/2a + -9/2 + 1/2 = 6/5a + 8

(3/2 a) + ( -9/2 + 1/2 ) = 6/5a + 8 (Combine like terms)

3/2a + -4 = 6/5a + 8

3/2a -4 = 6/5a+8

Step 2: Subtract 6/5a from both sides.

3/2a - 4 - 6/5 a = 6/5a + 8 - 6/5 a

3/10 a - 4= 8

Step 3: Add 4 to both sides.

3/10a -4 +4 = 8 + 4

3/10 a = 12

Step 4: Multiply both sides by 10/3

(10/3) * (3/10a) = (10/3) * (12)

a = 40


Answer:

40

Step-by-step explanation:

At the animal shelter, there are 8 cats and 20 dogs. What is the ratio of cats to dogs?

Answers

Answer:

2:5

Step-by-step explanation:

cats: dogs

8:20

We can divide each by 4

8/4: 20/4

2:5

8:20 It can be simplified, the answer would them be 2:5. I found this by dividing 8 and 20 by 4. Have a great day, hope this helped!! :D:D

The actual length of side y is 22 cm. Use the scale drawing to find the actual length of side x

Answers

Answer:

the answer is 28.3 cm

Step-by-step explanation:


Answer:

The answer is 28.3cm

Step-by-step explanation:

You take the "new" side length, 22 cm, over the "old" side length, 1.4 cm and write the proportion 22/1.4= x/1.8 cm using x as the unknown, and 1.8 cm as the other "old" side length. Then solve. Multiply 22 x's 1.8. Then divide by 1.4. Giving us the solution x= 28.3 cm.

Hope this helps!

The equation below describes a circle. What are the coordinates of the center of the circle? (X-4)^2+ (y+12)^2=17^2

Answers

Answer:

(4,-12)

Step-by-step explanation:

The equation of a circle has the following form:

[tex](x-h)^2+(y-k)^2=r^2[/tex] where (h,k) is the center of a circle with radius r.

Our equation is:

[tex](x-4)^2+(y+12)^2=17^2[/tex]

The center is (4,-12).


Answer:

(4,-12)

Step-by-step explanation:

25 Points!! Need help ASAP!!! Plzz help!!!

<1 and <5 are _____ angles.
A. alternate exterior
B. alternate interior
C. supplementary
D. right

<5 and <7 are _____ angles.
A. alternate exterior
B. alternate interior
C. supplementary
D. right
E. corresponding

Answers

Answer:

C and E

Step-by-step explanation:

Supplementary angles add up to 180

Corresponding angles are the same angle in a different location

Answer:

1 and 5 are supplementary angles

5 and 7 are corresponding angles

Step-by-step explanation:


what substitution should he used to rewrite x^8-3x^4+2

Answers

Answer:

The correct

answer between all the choices given is the second choice or letter B. I am

hoping that this answer has satisfied your query and it will be able to help

you in your endeavor, and if you would like, feel free to ask another question.




Jeff uses 116Rubber bands to make a rubber band ball. He estimates that he has used 448 rubber bands to make 12 rubber band bottles of the same size. Use estimation to check and explain whether his answer is reasonable or not.

Answers

Answer:

His answer is not reasonable.

Step-by-step explanation:


448 rubber bands to make 12 rubber band bottles of the same size.


450 divided by 10  is about 45 rubber band per rubber band bottle.

This is nowhere near the the 116 rubber bands to make a rubber band ball.

If the are about the same size, we should use about the same number of rubber bands.

If he used about 100 rubber bands per rubber band bottle * 12 bottles, that would be about 1200 rubber bands.

Lily is saving for her first car. She has $2,500 in a savings account that pays 4.25% annual interest.

Answers

$106.25 is how much she is saving for her first car
The answer is 106.25.

You put 4.25 over 100 and x over 2500. Then cross multiply to get 106.25.
Other Questions
Read the passage.excerpt from "The Unanimous Declaration of the Thirteen United States of America"by Thomas JeffersonWhen in the Course of human events it becomes necessary for one people to dissolve the political bands which have connected them with another and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature and of Nature's God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation.We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness. That to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed, That whenever any Form of Government becomes destructive of these ends, it is the Right of the People to alter or to abolish it, and to institute new Government, laying its foundation on such principles and organizing its powers in such form, as to them shall seem most likely to effect their Safety and Happiness. Prudence, indeed, will dictate that Governments long established should not be changed for light and transient causes; and accordingly all experience hath shewn that mankind are more disposed to suffer, while evils are sufferable than to right themselves by abolishing the forms to which they are accustomed. But when a long train of abuses and usurpations, pursuing invariably the same Object evinces a design to reduce them under absolute Despotism, it is their right, it is their duty, to throw off such Government, and to provide new Guards for their future security. Such has been the patient sufferance of these Colonies; and such is now the necessity which constrains them to alter their former Systems of Government. The history of the present King of Great Britain is a history of repeated injuries and usurpations, all having in direct object the establishment of an absolute Tyranny over these States. To prove this, let Facts be submitted to a candid world.How does paragraph 2 and its three key points relate to the introduction of the passage?They describe what needs to happen before a "separate and equal station" can be achieved.They claim the American colonies' situation is unique "in the Course of human events."They outline reasons that support the claim that "it becomes necessaryto dissolve the political bands" with England.They recount how the king's oppression of the colonies has ignored "a decent respect to the opinions of mankind." How does Kiplings choice of genre, childrens stories, support his purpose? 6. Maya is driving 120 miles to her grandmothers house. She drives 35% of the distance before stopping for lunch. How far does she drive before lunch? (1 point) HELP PLEASE!!! 1. There are two bags of marbles. Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one Green marble from Bag A and one black marble from Bag B. These events are: a. independent b. dependent c. neither d. can not be determined 2. You are asked to find the probability of selecting two cards from a standard deck of cards. What is the probability that you select an Ace then a King? These events are:a. can not be determined b. independent c. dependent d. neither What are the two global wind currents that rise or sink slowly?A. Tradewinds B. Horse latitudes C.Westerlies D. Doldrums ( Pick two answers) Explain why the Federalist Party decided to support the Constitution PLES HALP!!!!!!!!!!! In which situation might GDP (gross domestic product) NOT be an accurate indicator of the health of a country's economy? A)The country is embarking on large public works projects. B)The country has recently joined a new trade organization. C)The country relies on agriculture for most of its export revenues. D)The country has suffered a disaster and is receiving financial aid from overseas. What does a reviewer do during peer-review?Repeat the experiments in the article.Check for mistakes and bias.Focus only on mistakes in spelling.Change data to support results. Describe the event you think has contributed most to the growth of Islamic fundamentalist groups, such as the terrorist organization Al-Qaeda, since the end of World War II. Explain how this event contributed to the growth of these groups. (apex) Write y=-4/5x-2 in standard form using integers? A scatter plot was constructed and a line of best fit was drawn, 25x 80. What is the equation of this best line of fit?Y=5x+5y=x+5Y=5x+25Y=x+125 Taking control of technology, dealing with internal distractions, managing family obligations boost your ability to? Acrostic poem for the words NOTHING BUT THE TRUTH which details serve as evidence that Boadicea is a warrior archetype? check all that apply."They gave no mercy, and they asked none.""and of course the men followed her gladly.""[Her] words...stirred the Britons until they were mad""I am a woman but I would rather die than yield""The battles which followed were terrible indeed." Which is the BEST meaning for tradition as it is used in the selected sentence? A)cultural elements B)an annual celebration C)a time-honored practice D)a body of unwritten religious precepts We know that animals can be separated into two big groups: vertebrates and invertebrates. An example of each would be a horse and a horse fly. Even though these animals are very different structurally, they have several things in common. Both animals MUST have a method for ____________ because they are both classified as heterotrophs. A)moving B)using oxygen C)getting food D)reproduction I'd seriously appreciate it if anyone could help me at this moment! Giving Brainliest :)Which statements would Roosevelt most likely agree?Select each correct answer.Measures should be enacted to protect the agricultural sector.A committee will struggle to create an economic plan to improve the economy.The economic situation makes the country vulnerable to a military attack.The government should play an important role in the economic recovery. One-quarter of the possible offspring for a cross are homozygous dominant. What genotype do each of the parents have?1) heterozygous2)homozygous dominant3)homozygous recessive 4)homozygous Activity Log - Leg Stretches Record your time and activity below and in your unit fitness log. Three ounces of cinnamon cost $2.40. If there are 16 ounces in 1 pound, how much does a cinnamon cost per pound?