Can you plz help me with number 2

Can You Plz Help Me With Number 2

Answers

Answer 1

Answer:

the height is 20

Step-by-step explanation:

you should set a equation first:

12/15=x/25

and then cross multiply

to get x=20

Answer 2

Answer:

20 feet tall

Step-by-step explanation:

Let's say the height of the taller road sign=x. To solve for x, set the height and length of the signs equal to one another:

[tex]\frac{height}{length} =\frac{height}{length}[/tex]

Plug the numbers in:

[tex]\frac{12 ft}{15 ft} =\frac{x}{25 ft}[/tex]

Cross-multiply to get 300 = 15x, then divide both sides by 15 to isolate x.

x = 20 feet


Related Questions

Find the surface area of the solid below. Round to the nearest tenth if needed.

Answers

Answer:

1350

Step-by-step explanation:

Answer:

2400 ft²

Step-by-step explanation:

Base = 30x30=900

Next, we have to find the height of the triangles.

15²+20²=c²

225+400=c²

625=c²

c=√625

c=25

Now we can find the surface area of all 4 triangles.

4(1/2)(30)(25)=1500

900+1500= 2400 ft²

B
40
24
С
A
b
Find the length of “b” using
the Pythagorean Theorem.
Enter

Answers

Answer:

Look up Trigonometry Calculator and Put in the sides it helps a lot

Step-by-step explanation:

Find the radius or diameter of the circle with the given dimentions.
r = 21 ft
Answer Choices:
a. 50 ft
b. 42 ft
c. 131.9 ft
d. 10.5 ft

Answers

Answer:

b. 42

Step-by-step explanation:

Your trying to find the diameter since radius is r

diameter is always double of radius

CUVE Writing an Algebraic Expression Write an algebraic expression to model the unknown number situation. Which statements are true? Select all that apply. the difference of a number and seven You can replace "a number" with a variable to represent an unknown value. Subtraction Words decreased by You can replace "difference" with a division sign. You can replace "difference" with a subtraction sign. You can replace "seven" with 7. The correct expression is n-7. difference fewer The correct expression is 7-n. less than subtract​

Answers

Answer: A,C,D,E

Step-by-step explanation:

If own edge answer Which statements are true? Select all that apply.

You can replace “a number” with a variable to represent an unknown value.

You can replace “difference” with a division sign.

You can replace “difference” with a subtraction sign.

You can replace “seven” with 7.

The correct expression is n – 7.

The correct expression is 7 – n. Answer: A,C,D,E. Your welcome.

A model rocket launched directly upward at a speed of 16 meters per second from a helght of 2 meters . The f(t) = - 4.9t ^ 2 + 16t + 2 models the relationship between the height of the rocket and the time after launch, t. In seconds. Which is the maximum height meters the rocket will reach Round to two decimal places Provide your answer below: meters

Answers

Answer:

f(t) = 15.06 m

Step-by-step explanation:

The relationship between the height of the rocket and the time after launch, t. In seconds is given by :

[tex]f(t) = - 4.9t ^ 2 + 16t + 2[/tex]

We need to find the maximum height the rocket will reach the ground.

When it reaches the ground,

f(t) = 0

So,

Maximum height,

f'(t) = 0

[tex]-9.8t+16=0\\\\t=\dfrac{16}{9.8}\\\\t=1.63\ s[/tex]

Put t = 1.63 in equation (1).

[tex]f(1.63) = - 4.9\times (1.63 ^ 2) + 16(1.63) + 2\\\\=15.06\ m[/tex]

So, the maximum height of the rocket is 15.06 m.

Preguntas e interpretación de resultados:
2
3 registrar datos en la tabla
Tipo de liquido Masa (g)
Agua
Vinagre
agua
vinagre
Acale
Botella plastica coh:
llenar las botellas con 250mL de líquido
medir la masa de cada botella con liquido
Aceite

Answers

Answer:

No le entiendo

Step-by-step explanation:

What’s the answer to |-18|=

Answers

Answer:

18

Step-by-step explanation:

just take off the minus sign

| 18 |= is your answer.

Tom is 40 inches tall. The sign next to the Superman Roller Coaster says: “You must be 48 inches to ride!”. By what percent does Tom have to grow to be able to ride the roller coaster?

Answers

inches to grow=48-40=8

percentage of inches to grow to ride the roller coaster= 8/48×100

= 16.66%

Answer:

WHO CARES ABOUT WHAT THE SUPERMAN ROLLAR COASTER SIGN SAYS JUST RIDE IT!! (jk :))

REAL ANSWER: 20%

Step-by-step explanation:

20% of 40 is 8. 40+8=48. Therfore, Tommy here has to grow 20%.

Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D

A marathon is 26.2 miles long. If a runner can run 7.5 miles in 60 minutes, how many minutes will it take to run the full marathon? Round your answer to the nearest minute!

Answers

210 I think because theres 3.4 of 60minutes/ hrs and 3.4 times 60 is 209.6 and it said round to the nearest minute which is 9 so 210

The time taken for the runner to complete the marathon is 209.6 minutes

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

The total length of the marathon = 26.2 miles

Let the time taken by the runner to complete 7.5 miles = 60 minutes

So , the proportion is

A / 26.2 = 60 / 7.5

Multiply by 26.2 on both sides , we get

A = ( 60 x 26.2 ) / 7.5

A = 1572 / 7.5

A = 209.6 minutes

Hence , the time for marathon is 209.6 minutes

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ3

I WILL GIVE MAX POINTS IF YOU WRITE STEPS AND SOLVE PLZZZZZZ

Answers

Answer:

Step-by-step explanation:

so we need two even intergeters that add to 70  when we multiply the bigger by 2 and add the smaller to that soooo

70= 2*y + x

but we can express x in terms of y b/c  it's a consecutive even integer soo

(b/c   x+2 = y, then x = y -2)

70= 2*y  + (y-2)  

70 = 2y + y - 2

72 = 3y

24 = y   :)  nice the bigger is 24 so the smaller is 22

70 = 2*24 + 22

70 = 48 + 22

70 = 70    nice !  

bigger = 24

smaller = 22  

:)

Answer:

bigger = 24

smaller = 22  

Step-by-step explanation:

What proves angle BDE is congruent to CDE. ∆ADB and ∆ADC are congruent.

Answers

Answer: We will use the SAS (SIDE-ANGLE-SIDE) to prove that the two triangles are congruent.  This states that if two sides and the included angle in one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

First line

First column: AB is congruent to CB      Second column: Given

Second line

First column: angle ABD is congruent to angle CBD      Second column: Given

At this point we have the  SIDE-ANGLE portion of SAS.  We just need the other side.  We can see from the given angles that they both share a side...BD.

Third Line

First column: BD is congruent to BD     Second column: Reflexive property

All that is left is to state SAS.

Fourth Line

First Column:  Triangle ABD is congruent to triangle CBD     Second column: SAS (from lines 1,2,3)

Use the Distributive Property to correctly rewrite or simplify the expression:

21k+13k+9k

Answers

Answer:

21k+9k+13, and simplified into 43k.

Step-by-step explanation:

The distributive property means that you can put addends or factors in any order to get the same result(9+1=10, 1+9=10)

21k+13k+9k can be re-written into 21k+9k+13, and simplified into 43k.

Answer:

43k

Step-by-step explanation:

A cereal company packages there granola in cylindrical containers that have a diameter of 20 cm and a height of 17.4 cm. Approximately how much granola will a container hold?

A.348 cm^3

B.5,464 cm^3

C.174 cm^3

D.3,140 cm^3

Answers

Answer:

D

Step-by-step explanation:

what is the answer to 82.25-4.25b

Answers

Answer: Look

Step-by-step explanation:

Factorize 1000x³- 27y³​

Answers

1000x^3 - 27x^3
=(10x)^3 - (3x)^3

A manufacturing company has two retail outlets. It is known that 40% of all potentialcustomers buy products from outlet 1 alone, 35% buy from outlet 2 alone, and 10% buy fromboth 1 and 2. LetAdenote the event that a potential customer, randomly chosen, buys fromoutlet 1, and letBdenote the event that the customer buys from outlet 2. Suppose a potentialcustomer is chosen at random. For each of the following events, represent the eventsymbolically and then find its probability.

Required:
a. The customer buys from outlet 1.
b. The customer does not buy from outlet 2.
c. The customer does not buy from outlet 1 or does not buy from outlet 2.
d. The customer does not buy from outlet 1 and does not buy from outlet 2.

Answers

Answer:

[tex]P(A) = 0.50[/tex]

[tex]P(B') = 0.55[/tex]

[tex]P(A' U B') = 0.775[/tex]

[tex]P(A'B') = 0.275[/tex]

Step-by-step explanation:

Given

[tex]P(A\bar B) = 40\%[/tex] --- From outlet 1 alone

[tex]P(\bar A B) = 35\%[/tex] --- From outlet 2 alone

[tex]P(AB) = 10\%[/tex]  --- From both

Solving (a): Buys from outlet 1;

This is represented as: P(A)  and the solution is:

[tex]P(A) = P(A\bar B) + P(A B)[/tex]

[tex]P(A) = 40\% + 10\%[/tex]

[tex]P(A) = 50\%[/tex]

[tex]P(A) = 0.50[/tex]

Solving (b): Does not buy from outlet 2;

This is represented as: P(B') :

First, calculate the probability that the customer buys from 2

[tex]P(B) = P(\bar AB) + P(A B)[/tex]

[tex]P(B) = 35\% + 10\%[/tex]

[tex]P(B) = 45\%[/tex]

[tex]P(B) = 0.45[/tex]

Using the complement rule, we have:

[tex]P(B') = 1 - P(B)[/tex]

[tex]P(B') = 1 - 0.45[/tex]

[tex]P(B') = 0.55[/tex]

Solving (c): Does not buy from 1 or does not buy from 2

This is represented as: [tex]P(A' U B')[/tex]

And the solution is:

[tex]P(A' U B') = P(A') + P(B') - P(A'B')[/tex]

[tex]P(A' U B') = P(A') + P(B') - P(A') * P(B')[/tex]

Using complement rule:

[tex]P(A') = 1 - P(A)[/tex]

[tex]P(A') = 1 - 0.50[/tex]

[tex]P(A') = 0.50[/tex]

The equation becomes:

[tex]P(A' U B') = 0.50 + 0.55 - 0.50 * 0.55[/tex]

[tex]P(A' U B') = 0.775[/tex]

Solving (d): Does not buy from 1 or does not buy from 2

This is represented as:

[tex]P(A'B')[/tex]

And it is calculated as:

[tex]P(A'B') = P(A') * P(B)'[/tex]

[tex]P(A'B') = 0.50 * 0.55[/tex]

[tex]P(A'B') = 0.275[/tex]

please solve the question. unit 10: circles homework 2: Central angles, arc measures, and arc length.​

Answers

Answer:

Step-by-step explanation:

(9x-22) + 61 + (5x-7) + 34 = 360

14x = 294

x = 21°

:::::

arc GK = 9x-22 = 167°

:::::

arc HJ = 5x-7 = 98°

:::::

arc HGK = arc GK + 61 + 34 = 262°

:::::

arc GKJ = arc GK + 34 = 201‡

Angles in a circle add up to 360 degrees.

[tex]\mathbf{x = 21}[/tex][tex]\mathbf{GK = 167}[/tex][tex]\mathbf{HJ = 98}[/tex][tex]\mathbf{HGJ = 262}[/tex][tex]\mathbf{GKJ = 201}[/tex]

The given parameters are:

[tex]\mathbf{GH = 61}[/tex]

[tex]\mathbf{HJ = 5x - 7}[/tex]

[tex]\mathbf{JK = 34}[/tex]

[tex]\mathbf{KG = 9x - 22}[/tex]

The sum of angles in a circle is 360 degrees.

So, we have:

[tex]\mathbf{GH + HJ + JK + KG=360}[/tex]

So, we have:

[tex]\mathbf{(9x-22) + 61 + (5x-7) + 34 = 360}[/tex]

[tex]\mathbf{14x = 294}[/tex]

Divide both sides by 14

[tex]\mathbf{x = 21}[/tex]

GK is calculated as:

[tex]\mathbf{GK = 9x - 22}[/tex]

[tex]\mathbf{GK = 9 \times 21 - 22}[/tex]

[tex]\mathbf{GK = 167}[/tex]

HJ is calculated as:

[tex]\mathbf{HJ = 5x - 7}[/tex]

[tex]\mathbf{HJ = 5 \times 21 - 7}[/tex]

[tex]\mathbf{HJ = 98}[/tex]

HGJ is calculated as:

[tex]\mathbf{HGJ = HG + GK + KJ}[/tex]

[tex]\mathbf{HGJ = 61 + 167 + 34}[/tex]

[tex]\mathbf{HGJ = 262}[/tex]

GKJ is calculated as:

[tex]\mathbf{GKJ =GK + KJ}[/tex]

[tex]\mathbf{GKJ = 167 + 34}[/tex]

[tex]\mathbf{GKJ = 201}[/tex]

Read more about angles in a circle at:

https://brainly.com/question/12260532

La familia Sánchez Olguín, quiere terminar de construir su casa y necesita S/.25000 para todos los gastos del acabado de la casa. Para obtener ese dinero deciden solicitar un préstamo al Banco PIERDEMEX con un interés compuesto del 8% bimestral en un periodo de 3 bimestres

Answers

Extraemos los datos del problema:

Capital Inicial → C₀ = S/.25000Interés bimestral → i = 8 % = 0.08Periodos →  n = 3Bimestre 1:

Capital Inicial Bimestre → C = S/.25000

Tasa de interés bimestral:

I = C×i

I = S/.25000 × 0.08

I = S/.2000

Monto final:

M = C + I

M = S/.25000 + S/.2000

M = S/.27000

Variación Porcentual:

% = (M - C₀) / C₀

% = ( 27000 - 25000) /  25000

% = 8

Bimestre 2:

Capital Inicial Bimestre → C = S/.27000

Tasa de interés bimestral:

I = C×i

I = S/.27000 × 0.08

I = S/.2160

Monto final:

M = C + I

M = S/.27000 + S/.2160

M = S/.29160

Variación Porcentual:

% = (M - C₀) / C₀

% = ( 29160 - 25000) /  25000

% = 16.64

Bimestre 3:

Capital Inicial Bimestre → C = S/.29160

Tasa de interés bimestral:

I = C×i

I = S/.29160 × 0.08

I = S/.2332.8

Monto final:

M = C + I

M = S/.29160 + S/.2332.8

M = S/ 31492.8

Variación Porcentual:

% = (M - C₀) / C₀

% = ( 31492.8 - 25000) /  25000

% = 25.97

Does anyone know how to do this???

Answers

Answer:

The school will approximately raise 1500p.

Step-by-step explanation:

For part a) you're asked to complete the possibility space, this simply means to fill out in the provided chart with all possible outcomes for spinning the two spinners and adding the result of each.

You are already given two examples, particularly the case of landing a 2 and 1 (hence you get a 3) and landing a 8 and 3 (hence you get an 11). Just finish filling up the chart per the examples.

For part b) we must calculate the probability of having the outcome be 7. Assuming all sides of both spinners have the same probability of landing, we calculate this using classical probability so, as follows:

[tex]P(7)=\frac{n(7)}{n(all)}[/tex]

Where [tex]P(7)[/tex] represents the probability of getting seven, [tex]n(7)[/tex] the number of ways the two spinners can land in which they add up to 7, and [tex]n(all)[/tex] the number of all possible outcomes from spinning the two spinners. We are just doing the rule of "all favorable outcomes over all outcomes".

The total number of outcomes is 12, as there's only 12 ways the two spinners could land. The total number of ways we can get 7 is 3 (only by spinning 1 and 6, or 2 and 5, or 3 and 4). So, the probability of landing 7 is:

[tex]P(7)=\frac{n(7)}{n(all)}=\frac{3}{12}=\frac{1}{4}=.25[/tex]

So, there's a 25% chance of getting a 7 (hence of winning at this game). This means, if 120 play, approximately a 25% of them will win - so, approximately 30 contestants will win.

The school is charging 20p for playing, so the 120 participants are paying 2400p. However, because approximately 30 people will win, the school will have to buy 30 lollipops that cost 30p each - so, at the end the school will raise approximately 2400p (total earnings of tickets) - 900p (total losses from people winning) = 1500p (total money raised).

A holiday store is having a sale on bows and rolls of wrapping paper. One sign in the store states, “Buy 1 bow and 1 roll of wrapping paper for only $6.00.” A second sign in the store states, “5 bows and 1 roll of wrapping paper will only cost $10.00.”

In dollars and cents, the cost of a single roll of wrapping paper costs $
.

Answers

Answer:

3.00

Step-by-step explanation:

One bow and and 1 roll of wrapping paper  cost 6.00$

so the roll by itself would cost 6.00$

Need help with this question please !!!

Answers

Answer: 27

Step-by-step explanation:

HELP 20 POINTS IF YOU HELP ME HURRY!!!

Which shows the correct dimensions of the rectangle in both scales?

O Scale 1: 40 ft by 56 ft; Scale 2: 35 ft by 40 ft

O Scale 1: 56 ft by 25 ft Scale 2: 35 ft by 40 ft

O Scale 1:35 ft by 25 ft; Scale 2: 56 ft by 40 ft

O Scale 1.56 ft by 40 ft: Scale 2: 35 ft by 25 ft

Answers

The answer is the third choice: scale 1: 35ft by 25ft; scale 2: 56ft by 40 ft

Answer:

it’s c:)

Step-by-step explanation:

6. Colocar V (verdadero) o F (falso) según corresponda.
a) El anterior de -8 es -7.
b) El siguiente de - 10 es - 9.
c) 1 y - 1 son números consecutivos.
d) El opuesto de 21 es 12.
e) 3 es 5 unidades mayor que - 2.
f) -4 es 3 unidades menor que - 1.​

Answers

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

what is the formulae for the perimeter of a rhombus​

Answers

Answer:

Add all sides together

Step-by-step explanation:

That is the formula for perimeter in ANY situation

Answer:

P=4a

Step-by-step explanation:

A researcher compares the effectiveness of two different instructional methods for teaching pharmacology. A sample of 51 students using Method 1 produces a testing average of 81.6. A sample of 76 students using Method 2 produces a testing average of 76.4. Assume the standard deviation is known to be 12.24 for Method 1 and 11.19 for Method 2. Determine the 90% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2. Step 2 of 2 : Construct the 90% confidence interval. Round your answers to one decimal place g.

Answers

Answer:

90% confidence interval is: ( 1.7 to 8.7 )

Step-by-step explanation:

Given the data in the question;

Method 1              Method 2

n₁ = 51                   n₂ = 76

x"₁ = 81.6              x"₂ = 76.4

σ₁ = 12.24             σ₂ = 11.19

Lets get the Margin of Error(M.E)

M.E = [tex]Z_{\alpha /2[/tex] √(σ₁²/n₁ + σ₂²/n₂ )

for 90% confidence interval

∝ = 1 - 0.90 = 0.10

∝/2 = 0.10/2 = 0.05

[tex]Z_{\alpha /2[/tex] = [tex]Z_{0.05[/tex] = 1.64

so we substitute

M.E = 1.64 × √((12.24)²/51 + (11.19)²/75 )

M.E = 1.64 × √( 2.9376 + 1.669548)

M.E = 1.64 × √( 2.9376 + 1.669548)

M.E = 3.52

so, for 90% confidence interval for x"₁ - x"₂ will be;

C.I = x"₁ - x"₂  ±  [tex]Z_{\alpha /2[/tex] √(σ₁²/n₁ + σ₂²/n₂ )

= 81.6 - 76.4 ± M.E

= 81.6 - 76.4 ± 3.52

= 5.2 ± 3.52

Lower Limit = 5.2 - 3.52 = 1.68 ≈ 1.7

Upper Limit = 5.2 + 3.52 = 8.72 ≈ 8.7

Therefore; 90% confidence interval is: ( 1.7 to 8.7 )

5x - 2 = 3х + 4
Help

Answers

Answer:

x=3

Step-by-step explanation:

5x - 2 = 3x +4

=> 5x - 3x = 4 + 2

=> 2x = 6

=> x = 6/2 = 3

A train is traveling at a constant rate of 70 miles per hour.
How long will it take the train to travel 175 miles?

Answers

Answer:

2.5 hours

Step-by-step explanation:

Time is distance divided by speed.

Therefore, you'd have to do 175/70

175/70 = 2.5

A number is chosen at random from 1 to 50. Find the probability of selecting numbers less than 33

Answers

Answer:

75%Step-by-step explanation:

A median of a triangle may fall outside the triangle.

Answers

Answer:

false

Step-by-step explanation:

I dont think I need to explain,

what is 5+5
drop i.n.s.t.a for points

Answers

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Why was it important that the United States boundaries were defined in the treaty of Paris Fred bakes 10 dozen cookies for the bake sale ( 1 dozen = 12 cookies) he makes the following type of cookies 1/2 of Freds cookies are chocolate chip1/4 of Freds cookies are peanut butter1/8 of Freds cookies are snickerdoodle1/8 of Freds cookies are oatmeal raisinHow many chocolate chip cookies did Fred make?How many peanut butter cookies did Fred make?How many snickerdoodle cookies did Fred make?How many oatmeal raisin cookies did Fred make? In Chapter 9, why is Sonias appointment as a Supreme Court justice so important?A. It gives Sonia's family from Puerto Rico a reason to visit. B. Government employees prepare Sonia for the hearings to be voted in as justice.C. The public is not made aware of the presidents decision until the very last moment.D. She has achieved something that no one else in U.S. history has done before. Keisha's team has won 18 games and lost 12 so far this season. What is the approximate probability that her team wins the next game it plays?A. 60%B.2/3C. 0.4D. 0.45 Kelly has always used "P4ssw0rd as her password on her online accounts. Why should she change this? Check all that apply.Passwords should be used only once.It could be easily guessed.Passwords must be unique.It contains insufficient personal information.Passwords should be changed regularly. which of the following observations poses a challenge to the cultural differences argument?a.)Premise 1 is false because universal truths are not always easy to discover.b.)The conclusion does not follow logically from the premises.c.)The conclusion is true, but the premises are both false.d.)Premise 2 is false because it's possible that some cultures are just wrong. What should be done to solve the following equation?x - 9 = 13Add 9 to both sides of the equation.Subtract 9 from both sides of the equation.Subtract 13 from both sides of the equation.Add 9 to the left side of the equation. Decide if the sentence is reflexive & which answer is correct based upon the subject and the reflexive pronoun. please help!! Which of the following are equations? x + 13 + 13x/4 = 814 = 3(x)-3 + x = 1413(x) + 14/2 16(2) - 12 Write the equation for the line that contains the points (5,6) and (10,12). [No picture this is the full question] Write the product using exponents.(6)(6) -4(-4 + x) > 56Can someone help with this pleasee. WILL GIVE BRAINLIEST, RATING, AND HEART A bowl contains blueberries and strawberries. There are a total of 48 berries in the bowl. The ratio of blueberries to strawberries is 9 to 3. How many of each berry are in the bowl?A bowl contains blueberries and strawberries. There are a total of 20 berries in the bowl. The ratio of blueberries to strawberries is 4 : 1. How many of each berry are in the bowl? You are a frightened owl Blinded by the light of lifesimilemetaphorhyperbolepersonification species evolve at different rates. for example, bacteria are unlikely to become extinct because they adapt more quickly than mammals to environmental changes. which pf the following best explains this differenceA: Bacteria reproduce more rapidly, allowing species to evolve more quicklyB:Bacterial populations are more isolated, permitting increases in genetic variability C:certain bacteria grow more steadily over time, giving an evolutionary advantage over mammals D: Individual bacteria have the same genes, providing opportunities for increased biodiversity in one population. On a school trip, there are 4 buses to carry 96 students. How many students are there in each bus? Read the passages and identify which supports a Federalist position and which supports an Anti-Federalist position. Explain your reasoning. Passage 1:I have, in the course of my observation on this constitution, affirmed and endeavored to [show], that it was calculated to abolish entirely the state governments, and to melt down the states into one entire government, for every purpose as well internal and local, as external and national.Passage 2:The proposed Constitution, so far from implying an abolition of the State governments, makes them constituent parts of the national sovereignty, by allowing them a direct representation in the Senate, and leaves in their possession certain exclusive and very important portions of sovereign power. This fully corresponds, in every rational import of the terms, with the idea of a federal government. Scoring: Students should identify the first passage as expressing an Anti-Federalist position because it opposes the Constitution. It claims that the document will abolish the state governments. Students should identify the second passage as expressing a Federalist position because it supports the Constitution. It states that the document leaves a great deal of power to the states by giving them a major rolein the Senate. 2. Why did the framers of the U.S. Constitution include restrictions on federal power? Identify the constitutional principle these restrictions reflect and describe at least one restriction in detail.