pls help i don’t understand how to graph

Pls Help I Dont Understand How To Graph

Answers

Answer 1

Answer:

Slope: [tex]\bf \boxed{-\dfrac{1}{3}}[/tex]

y-intercept: [tex]\boxed{-1}[/tex]

Equation: [tex]\boxed{\bf{y=-\dfrac{1}{3}x - 1}}[/tex]

The two boxes at the bottom are asking you to repeat the above information:

the slope is [tex]\bf \boxed{-\dfrac{1}{3}}[/tex]   the y-intercept is [tex]\boxed{-1}[/tex]

Step-by-step explanation:

Actually, you don't have to graph the equation since the graph is already provided

You have to answer the questions based on the provided graph

To find slope

1. Take any two well=defined points on the graph:

We can see that point (0, -1) which has x value at 0 and y-value 1 unit down is a distinguishable point. Let's call this point P1Another point is (3, -2). Let's call this point P2

2. Find the difference in y-values between P2 - P1. This called rise

rise = P2 v-value - P1 y-value = -2 - (-1) = -2 + 1 =  - 1


3. Find the corresponding difference in x-values: P2 - P. This is called run

run = P2 x-value - P1 x-value = 3 - 0 = 3


4. The slope is computed as rise/run = - 1/3

To find y-intercept

Just note where the line crosses the y-axis and the y-value corresponding to that would be the y-intercept

This is also the y-value at which x = 0

Looking at the graph we see that the line crosses(intercepts) the y-axis at y = - 1
So y-intercept = - 1

To write the equation

The equation of the line is
y = mx + b

where

m = slope

b = y-intercept

So the equation of this particular line is

[tex]\bf{-\dfrac{1}{3}x - 1}[/tex]




Related Questions

An equation is shown below.
4.3(3.4z-19.2) = 5.3z + 10.7-2.4z
Which of the following statements describes a step that can be used to solve the equation for ?
O Subtract 4.32 from both sides of the equation.
O Add 10.7 to both sides of the equation.
O Divide both sides of the equation by 4.3.
O Multiply both sides of the equation by 10.7.

Answers

Answer:z=4663/586

Step-by-step explanation:

If P = 14 x 36, what is the prime factorization of P?
A. 2^3 x 3 x 7^2
B. 2^4 x 3 x 7
C. 2^3 x 3^2 x 7
D. 2 x 3^3 x 7
E.2 x 3 x 7^2

Answers

The prime factorization of P is given as follows:

C. 2³ x 3² x 7.

How to obtain the prime factorization of P?

The number P in this problem is defined as follows:

P = 14 x 36.

Hence we must obtain the prime factorization of each number in this problem, as follows:

14 = 2 x 7.36 = 4 x 9 = 2² x 3².

Then the prime factorization of the multiplication is given as follows:

14 x 36 = 2 x 7 x 2² x 3² = 2³ x 3² x 7.

Meaning that the correct option is given by option C.

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Determine the interval(s) on which the given function is increasing.

Polynomial going up from the left and passing through the point negative 1 comma 0 and going to a relative maximum at the point 0 comma 5 and then going down to a relative minimum at the point 1 comma 4 and then going up to the right


(–∞, –1) ∪ (1,∞)
(–1, ∞)
(–∞, 0) ∪ (1, ∞)
(0, 1)

Answers

The intervals on which the function is increasing is (0, 1). Option D

What is a polynomial?

A polynomial is a type of mathematical expression that has variables that are raised to whole number powers.

Since the factors of 5 are 1 and 5, we'll try to factor the polynomial by assuming that (x-1) and (x-5) are factors.

The product of (x-1) and (x-5) is (x² - 6x + 5), which is the polynomial we're given.

⇒ (x² - 6x + 5) is the factored form of the polynomial.

A polynomial is increasing on the intervals where it's greater than zero. So we just need to look at the sign of (x² - 6x + 5) for values between 1 and 5.

For values between 1 and 5, the function is always positive, so it's increasing on the interval (1, 5). Therefore, the increasing interval is (1, 5).

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What does it mean by the nearest cent?

Answers

Answer:

Rounding to the nearest cent implies approximating a money amount to two decimals (which represent the number of cents), applying the following rules: If the third decimal digit is lower than 5, we leave the second decimal digit as it is. E.g., $4.563 ≈ $4.56.

PLEASE HELP AS FAST AS POSSIBLE

Answers

Answer:

l is parallel to m and u is parallel to t

Step-by-step explanation:

Parallel line means that never meet each other

Thomas won $16,000 on a game show, and he put all of the money in a checking account (which does not give interest). Each month, he takes $400 out of the account for "spending" money.


The equation that describes this situation is M=16000−400t

, where t

is the time in months since opening the account, and M

is the amount of money left in the account.


In how many months will Thomas empty the account (which means that there will be no money left)?

Answers

It will take Thomas 40 months to empty the account if he continues to take out $400 each month of $16,000.

To find out how many months it will take for Thomas to empty the account, we need to set M to 0 and solve for t. This will give us the number of months it will take for Thomas to spend all of the $16,000 he won on the game show. The equation we need to solve is:
0 = 16000 - 400t

First, we'll isolate the variable t on one side of the equation by adding 400t to both sides:
400t = 1600

Next, we'll divide both sides of the equation by 400 to get the value of t:
t = 16000/400

Simplifying the right side of the equation gives us:
t = 40

So, it will take Thomas 40 months to empty the account if he continues to take out $400 each month for spending money.

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Help!!! I don't understand this question..

Answers

Step-by-step explanation:

I want to say Marisella. Here's my argument.

5 seats in the front row, so 5/20. Before the first person enters, 5 seats are open making it 5/20.

Once the first person sits.. now there are 4 spots in the front and only 19 total seats left, making it 4/19

Step 2 Use the answers from Step 1 to find the total distance Sonja's ball traveled during her warm

up. Show your work (4 points)


I need help on the whole page if anyone knows the answer to this

Answers

Answer: step 1:

wickets 2 and 9, (16,18) and (15,43) = 25.02ft

wickets 9 and 8, (15, 43) and (37,65) = 31.11 ft

wickets 8 and 5, (37, 65) and (63,39) = 36.7 ft

wickets 5 and 3, (63, 39) and (41, 17) = 31.11 ft

wickets 3 and 2, (41, 17) and (16, 18) = 25.02 ft

Step-by-step answer please, thanks! :)

Answers

The amount of money you'll have at the end of 5 years is $4,060.

How to calculate the simple interest and future value?

Mathematically, simple interest can be calculated by using this formula:

S.I = PRT or S.I = A - P

Where:

S.I represents the simple interest.P is the principal or starting amount.R is the interest rate.A is the future value.T represents the time measured in years.

Substituting the given parameters into the simple interest formula, we have;

S.I = 3,500 × 3.2/100 × 5

S.I = 3,500 × 0.03.2 × 5

S.I = $560.

Next, we would calculate the future value as follows;

Future value, A = S.I + P

Future value, A = $560 + $3,500

Future value, A = $4,060.

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My age 2 years ago plus my age 2 years from now equals 24. How old am I

Answers

Answer:

= 6 years old.

Step-by-step explanation:

Let your age 2 year ago be = x

= 2x

again

Let your age 2 years from now be x

= 2x

therefore

= 2x +2x = 24

= 4x = 24

= 4x/4 = 24/4

= x = 6

therefore you're 6 years old.

PLEASE ONLY ANSWER IF YOU KNOW

Answers

The value of AB in the triangle is 2.5 cm and the value of x in the triangle is 10 units

How to determine the value of AB

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

The triangle

On the triangle, we have the following equivalent ratio

AB : 4 = 10 : 16

Express as fraction

So, we have

AB/4 = 10/16

This gives

AB = 4 * 10/16

Evaluate

AB = 2.5

How to determine the value of x

Here, we understand that the line bisects the angle BAC

This means that

x = 20 - x

So, we have

2x = 20

Divide

x = 10

Hence, the value is 10

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can someone please help me with this work sheet ​

Answers

1. Adjacent angles and  1 degree is missing angle.

3. Complementary angles are  missing angle is 177 degrees.

4. Adjacent angles and missing angle is 10 degrees.

5. Adjacent angles and missing angle is 104 degrees.

6. Adjacent angles and missing angle is 10 degrees.

6. Vertical angles and missing angle is 57 degrees.

What are Angles?

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

1. The angles are Adjacent

54+10x+16=180

10x=180-70

x=1

So the unknown angle is 10+16=26 degrees.

3. The angles are complementary

22+4x=90

4x=68

Divide both sides by 4

x=17

So, the angle is 4(17)=68 degrees

4. The angles are Adjacent

110+7x=180

7x=70

x=10,  the other angle is 7(10)=70 degrees

5. The angles are Adjacent

72+x+4=180

x=104

The other angle is 104+4=108 degrees.

6.  92+x+78=180

x=10

The unknown angle is 10 degrees.

7. The angles are vertical.

72=x+15

x=57 degrees.

Hence,  

1. The angles are Adjacent and missing angle is 1 degrees.

3. The angles are complementary and missing angle is 177 degrees.

4. The angles are Adjacent and missing angle is 10 degrees.

5. The angles are Adjacent and missing angle is 104 degrees.

6. The angles are Adjacent and missing angle is 10 degrees.

6. The angles are Vertical and missing angle is 57 degrees.

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There are 96 birds at the Parkdale Zoo. of the birds are penguins. How many penguins are at Parkdale Zoo?​

Answers

The number of penguins at the zoo is 48.

How many penguins are at the zoo?

Percentage is a measure of frequency that determines the value of a number as an amount out of hundred. The sign that is used to represent percentage is %. In order to convert a number to percentage, multiply by 100.

Number of penguins = percentage of penguins x number of birds

50% x 96

(50/100) x 96 =

0.5 x 96 = 48

Here is the complete question:

There are 96 birds at the Parkdale Zoo. 50% of the birds are penguins. How many penguins are at Parkdale Zoo?​

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FIND THE LENGTH OF arc AB
thanks

Answers

Answer: D, 9.4

Step-by-step explanation:

(pi*2*12) *45/360 = 9.4

Answer:

9.4 is correct

Step-by-step explanation:

C=2πr = 2x3.14x12=75.36

arc AB=(45/360)x75.36=9.42

The table shows the world birth rates y number of births ler thousands people) in r years since 1960

Identify an equation that models the birth rate as a function of the number years since 1960

Answers

An equation that models the birth rate as a function of the number years since 1960 is y = -0.3x + 35. Thus, option 3 is correct.

What do you mean by equation?

It represents a relationship between variables and constants and is used to describe the behavior of a function or system. Equations can be linear or nonlinear and can have one or multiple variables. They can be used to solve real-world problems, such as finding the slope of a line, calculating distances, or determining the minimum or maximum value of a function. Equations are also used in advanced mathematical disciplines, such as calculus, algebra, and geometry.

When x = 0, y-intercept = 35.4 ≈ 35

And when x increases, the value of y decreases, so slope is negative

From the given options

There is only two negative slope equation but only one with y-intercept = 35. i.e.

y = -0.3x + 35

Thus, An equation that models the birth rate as a function of the number years since 1960 is y = -0.3x + 35.

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Find any points of discontinuity for the rational function. y=(x+3)(x-5)(x+7)/(x+1)(x+4)

Answers

Points of discontinuity for the rational function y=(x+3)(x-5)(x+7)/(x+1)(x+4) are x = -1 and x = -4.

A rational function is a function that can be expressed as the ratio of two polynomial functions. In the case of the given rational function y=(x+3)(x-5)(x+7)/(x+1)(x+4), the numerator is a polynomial of degree 3, and the denominator is a polynomial of degree 2.

To find any points of discontinuity for a rational function, we need to determine where the denominator is equal to zero. Division by zero is undefined, so any value of x that makes the denominator equal to zero will be a point of discontinuity for the function.

In this case, we set the denominator (x+1)(x+4) equal to zero and solve for x:

(x+1)(x+4) = 0

This equation is true if either (x+1) = 0 or (x+4) = 0. So we have two solutions:

x+1 = 0 or x+4 = 0

x = -1 or x = -4

These values of x make the denominator of the function equal to zero, which means that the function is undefined at these points. These points are known as vertical asymptotes of the function, since the function approaches infinity as x approaches these points from either side.

It's important to note that the numerator of the function does not affect the points of discontinuity, since it is always defined for any value of x. Therefore, the points of discontinuity only depend on the denominator of the function.

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Please answer these for 100 points

Answers

The area of a trapezoid with the given parallel sides and height is 4x+8 square units. Therefore, option B is the correct answer.

What is area of the trapezoid?

The area of a trapezoid can be calculated if the length of its parallel sides and the distance (height) between them is given. The formula for the area of a trapezoid is expressed as, A = ½ (b₁+b₂)×h.

where (A) is the area of a trapezoid, 'b₁' and 'b₂' are the bases (parallel sides), and 'h' is the height (the perpendicular distance between b₁ and b₂).

1) Given that, b₁=x-3, b₂=x+7 and the height=4

Now, area of a trapezoid = 1/2 (x-3+x+7)×4

= 2×(2x+4)

= 4x+8 square units

Hence, option B is the correct answer.

2) The given polynomials are -3x²-7x+9 and -5x²+6x-4.

Here, sum = -3x²-7x+9+(-5x²+6x-4)

= -3x²-7x+9-5x²+6x-4

= -8x²-x+5

Hence, option 1 is the correct answer.

Therefore, the area of a trapezoid is 4x+8 square units.

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Which of these angles is the largest angle for which it would be appropriate to use the small angle approximation for cosine?
20 degrees
15 degrees
5 degrees
30 degrees

Answers

The largest angle for which it would be appropriate to use the small angle approximation for cosine is 15 degrees

We know that basic trigonometric identities are the primary trigonometric ratios of sine, cosine, and tangent that are defined in a right triangle but at the same time these ratios have numerous applications, but their most important application is finding unknown sides and angles in a right triangle.

Small Angle approximation can be said to be the approximation that can be used to find a more simplified formula for each of the three primary ratios. This process is called a small-angle approximation or applying the small-angle approximation theorem.

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9) Before hibernation, a bear weighs 990 pounds. Its weight decreases by 32% during hibernation. How much does the bear weigh when it comes out of hibernation? Show your work.​

Answers

The weight of the bear after hibernation is 673.2 pounds

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that Before hibernation, a bear weighs 990 pounds.

Its weight decreases by 32% during hibernation.

We need to find how much the bear weigh when it comes out of hibernation.

Lets find what is 32% of 990

32/100×990

0.32×990

316.8

Now let us subtract 316.8 from 990 pounds, to find the weight after hibernation.

990-316.8

673.2

Hence, 673.2 pounds is the weight of the bear after hibernation.

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Need answer quick !!!

Answers

The sector area is equal to: B. 54π yd².

How to calculate the area of a sector?

Mathematically, the area of a sector can be calculated by using this formula:

Area of sector = θr²/2

Where:

r represents the radius of a circle.θ represents the central angle.

Substituting the given parameters into the area of a sector formula, we have the following;

Area of sector = θr²/2

Area of sector = 240(π/180) × (9)²/2

Area of sector = 120(π/180) × 81

Area of sector = 54π yd².

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In a​ company, ​70% of the workers are. If 1170 people work for the company who​ aren't ​women, how many workers are there in​ all?

Answers

The number of workers in the company is given as follows:

3900 workers.

How to obtain the number of workers in the company?

The number of workers in the company is obtained applying the proportions in the context of the problem.

From the problem, we have that:

70% of the workers are women.1170 of the workers are not women.

Hence 30% of the workers is equivalent to 1170, hence the number of workers in the company is obtained as follows:

0.3x = 1170

x = 1170/0.3

x = 3900 workers.

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A B What is the converse of the following statement? "If I studied for it, then I did well on the exam." "If I did well on the exam, then I studied for it." "If I did not do well on the exam, then I did not study for it."​

Answers

Answer:

A

I believe because p→q

q→p

Pixflix online video charges $5.95 to view a movie. Movie Prime video service charges $150 per year membership and $3.95 per movie. Assuming Minda views the same number of movies each month, what is the fewest number of movies per month Minda must view to make Movie Prime the better deal?

Answers

Minda must view 76 movies to make Movie Prime the better deal

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let, The number of movies be 'x' and from the given information the two equations can be formed as,

5.95x and 150 + 3.95x.

And  to make Movie Prime the better deal,

150 + 3.95x < 5.95x.

2x > 150.

x > 75.

So, Minda must watch greater than 75 movies.

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Python formats all floating point numbers to two decimal places when outputting using the print statement O True O False 1 pts >> Question 9 The if statement causes one or more statements to execute only when a Boolean expression is true. O True O False

Answers

Python formats all floating point numbers to two decimal places when outputting using the print statement. (FALSE)

The if statement causes one or more statements to execute only when a Boolean expression is true. ( TRUE)

What are Floating Points?

Floating point  is a number format that can be used to represent a large or small value.

In writing this number is done by writing it in exponential form, so that the number has a base number, the exponential number and the base number.

The following is writing scientific notation in floating point. example in decimal numbers

261,000,000,000 written 2.61 x 10¹¹

0.000000000261 is written 2.61 x 10^-10

The Floating point representation itself has two parts, namely the mantissa part and the exponent part. The mantissa determines the digits, while the exponent determines the value of how many powers the mantissa is, as follows:

±S * B±E

S = Significant also called mantissa

E = Exponent

B  = Base

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Melanie is given two hours to complete a science test that has two sections. If she takes forty-three minutes to complete the first section, how many minutes does she have remaining on the second section?


Type a numerical answer only no words, symbols, or variables.

Answers

She have 1 hour 17 minutes remaining for the second section.

what is total time ?

Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future. Time is used to quantify, measure, or compare the duration of events or the intervals between them, and even, sequence events.

Given:

Total time : two hours

Time taken to complete the first section =  forty-three minutes

Now , minutes she have remaining on the second section

= Total time - Time taken to complete the first section

= 2 hours - 43 minutes

= 1 hour 17 minutes

Hence , she have 1 hour 17 minutes remaining for the second section.

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322 Out of 450 is What Percent?

Answers

The percentage of 322 out of 450 using the percentage formula was found out to be approximately 71.56%.

To find the percentage of 322 out of 450, we can use the following formula:

percentage = (part/whole) x 100

where, "part" is the value we want to express as a percentage (in this case, 322), "whole" is the total value (in this case, 450), and "x" means "multiply".

Using the formula mentioned above, we get:

percentage = (322/450) x 100

percentage = 0.7156 x 100

percentage = 71.56%

Therefore, percentage of 322 out of 450 is approximately 71.56%.

A percentage is a way to express a number as a fraction of 100. It is often denoted using the "%" symbol.

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solve the following systems of equations by graphing y=2x-4
y=-1/2x+6

Answers

Answer:

(4,4)

By using a graphing we can see that the lines intersect at (4,4).

therefore, 4 is the solution

don't forget to say thanks

An object is launched at 19. 6 meters per second (m/s) from a 58. 8-meter tall platform.

Answers

The item reached its highest point at 78.4 meters by quadratic form of equation.

Suppose a quadratic form of equation has the following form

y=a[tex](x-h)^2[/tex] + k

Once in vertex form, it is said to be. It is so named because the vertex point (peak point) lies on the graph of this equation (h,k)

Using the data shown above, we can determine that

-4.9[tex]t^2[/tex] + 19.6 t + 58.8 = 0

The equation will naturally be converted to vertex form after the square is finished:

where h is the amount of time needed to reach a height of k.

Next, square the half of the linear term and add it to both sides.

-4.9([tex]t^2[/tex]-4t)=-58.8

-4.9([tex]t^2[/tex]-4t+4)=-58.8-19.6

-4.9([tex](t-2)^2[/tex])=-78.4

s(t)=-4.9([tex](t-2)^2[/tex])+78.4

As can be seen, the vertex is (2,78.4).

The maximum height is 78.4m.

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Question: An object is launched at 19.6 meters per second from a 58.8 meter tall platform. The equation for the object's height s at time t seconds after launch is s(t)=−4.9[tex]t^2[/tex]+19.6t+58.8. What is the maximum height of the object?


11. A) A mobile price is tagged Rs 5,000. If a customer gets 12% discount and adding certain
percent VAT reaches as Rs 4,972, find out the VAT percentage. ​

Answers

The VAT percentage of a mobile price is tagged Rs 5,000 with a 12% discount and adding a certain percentage of VAT reaches Rs 4,972 is a 13% VAT Percentage.

The solution to the problem is as follows:
Step 1: Find the price of the mobile after the discount. The discount is 12% of the original price, which is Rs 5,000. So, the discount amount is:
12% of Rs 5,000 = (12/100) * 5000 = Rs 600

Step 2: Subtract the discount amount from the original price to get the price after the discount:
Rs 5,000 - Rs 600 = Rs 4,400

Step 3: Now, we need to find the VAT percentage that was added to the price after the discount to get the final price of Rs 4,972. Let the VAT percentage be x%. Then the equation is:
Rs 4,400 + x% of Rs 4,400 = Rs 4,972

Step 4: Simplify the equation and solve for x:
4400 + (x/100) * 4400 = 4972
4400 + 44x = 4972
44x = 4972 - 4400
44x = 572
x = 572/44
x = 13

Therefore, the VAT percentage is 13%.

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A bag contains only pink sweets, white sweets, green sweets and red sweets.
The table gives each of the probabilities that, when a sweet is taken at random from
the bag, the sweet will be green or the sweet will be red.

Answers

Answer:

Below

Step-by-step explanation:

     Since :   .35 x = 28       Given    ( where x = total sweets)

x = 80 sweets total

28 are red ( given )   then  02.  * 80 = green = 16

80 - 28 - 16 = 36 remaining

                                     and are divided between  pink : white in ratio of 2:1

                                   pink are 2 out of (2+1) = 2/3

                                             2/3 * 36 remaining = 24 pink

                                                    then 12 are white

Other Questions
A global clothing manufacturing company often develops multiple clothing linessimultaneously. Occasionally. the executive design team decides to changedesigns after development is under way due to market feedback. This results indelays, which in turn lead to missed delivery deadlines.How could the company benefit by applying Agile principles?OThe company can install an Agile project management software to easily accommodate last-minutechanges to their products.O The manager has the budget allowance to adopt Agile and no other approvals are necessary.The adoption of Agile will reduce the cost of change, because it requires very little training or planning tosuccessfully adopt.The company can discover design changes earlier in their process and adapt to them, making appropriatetrade-off decisions to meet deadlines.O I don't know this yet. WILL GIVE BRAINLIESTWhich of these powers is granted to the federal government alone?A: try crimes that occur in a municipalityB: levy taxes on imported goodsC: levy a sales tax on state purchasesD: declare war or make treaties What is the area and perimeter of semicircle? what are the minimum and maximum side lengths to complete a triangle with two side lengths of 18 cm and 21 cm When did modern poetry begin? Deloria points out the corrupt narrative surrounding Wounded Knee by comparing the Medals of Honor given out to the_______7th Cavalry on that day to the 3 that were awarded to the more than 64,000 South Dakotans who fought in World War II. A. 12 B. 35 C. 18 D. 7 E. 26 Read the statement. [Blank] is a type of medical test that looks for changes in chromosomes, genes, and proteins. Which option correctly completes this sentence?A Genetic modificationB Genetic screeningC Genetic selection D Genetic engineering Scenario: It cost $5 to Roller Skate for 2 hours at Empire Roller Skating ring.Identify the cost per hour for this recreational activity in the scenario (Unit Rate) what unesco world heritage site in southern india crossword clue? Kim was elected prefect of his school and was proud to serve his school. However, there were students that were always coming late, He had allowed them into the school as they had given him good excuses for being late. When this went on for some time, he put them on detention. As a result, they started calling him names behind his back and spent much of their time making fun of other students who worked on detention. Kim then reported them to the principal, and they were suspended for a week. i) Was Kim being fair in reporting the students? Why/why not? ii) Why were the students making fun of the others on detention. iii) Was the decision made by the principal reasonable? Why/why not? Information must be encoded and ___ in order to be retrieved later hugo van der goes patron the portinari family and jan van eycks patron giovanni arnolfini are connected through what italian family Phoebe used the following source to write her research paper.Volcansik, Roberta. "Leadership Among Teens." The Leadership Journal, 35, 3, 2015, p. 128.Which sentence cites the source correctly according to MLA guidelines? A. In "Leadership Among Teens," there is a persuasive claim that all students a spark within them that can help them lead other people (Vocansik 128). B. According to Roberta Volcansik, even teens who do not show signs of being active leaders can develop their leadership potential (The Leadership Journal). C. In "Leadership Among Teens," Roberta Volcansik claims that teens display "signs of the types of leaders they will be when they are adults" (128). D. Roberta Volcansik notes that the idea that only people who are talkative and persuasive become leaders is a narrow view of leadership ("Leadership Among Teens"). Using the image and your knowledge, besides the desire to defeat an established European power, what other strategic factor led to American imperialism in the late 19th century?ResponsesA The need to prevent the expansion of totalitarian forces led the U.S. military action.The need to prevent the expansion of totalitarian forces led the U.S. military action.B The desire to spread freedom and democracy compelled Roosevelt to use military force.The desire to spread freedom and democracy compelled Roosevelt to use military force.C The need for more markets and raw materials led the U.S. to become imperialistic.The need for more markets and raw materials led the U.S. to become imperialistic.D The fear of expansionistic foreign powers compelled the McKinley to strike first. A recessive allele in mice results in an abnormally long neck. Sometimes, during early embryonic development, the abnormal neck causes the embryo to die. An experimenter began with a population of true-breeding normal mice and true-breeding mice with long necks. Crosses were made between these two populations to produce an F1 generation of mice with normal necks. The F1 mice were then mated to each other to obtain an F2 generation. For the mice that were born alive, the following data were obtained:522 mice with normal necks 62 mice with long necks. What percentage of homozygous mice (that would have had long necks if they had survived) died during embryonic development? Assume that your body mass index (BMI) program calculated a BMI of 41.6. What would be the value ofcategory after this portion of the program was executed?# Determine the weight category.if BMI < 18.5:category= "underweightelif BMI > 39.9:category="morbidly obese"elif BMI n people line up to board a plane. each has a boarding pass with assigned seat. however, the first person has lost the boarding pass and takes a random seat uniformly. after that, each person takes the assigned seat if it is unoccupied, and one of unoccupied seats uniformly at random otherwise. denote by pnthe probability that the last person to board sits in the assigned seat. show that pn PLEASE HELP WILL GIVE BRAINLIESThelp with this proof please image attached How does the phrase the weed were evolving in line 18 to the meaning of the article Graph the function f(x) = 3x -2.