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Answers

Answer 1

Answer:

Part 1) [tex]z=121^o[/tex]

Part 2) [tex]x=59^o[/tex]

Part 3) [tex]y=49^o[/tex]

Part 4) [tex]w=72^o[/tex]

Step-by-step explanation:

step 1

Find the measure of angle z

we know that

The sum of exterior angles in a polygon is always equal to 360 degrees

so

[tex]z^o+(z+10)^o+(z-13)^o=360^o[/tex]

solve for z

[tex](3z-3)^o=360^o[/tex]

[tex]3z=363\\z=121^o[/tex]

step 2

Find the measure of angle x

we know that

[tex]z^o+x^o=180^o[/tex] ---> by supplementary angles (form a linear pair)

we have

[tex]z=121^o[/tex]

substitute

[tex]121^o+x^o=180^o[/tex]

[tex]x=180^o-121^o=59^o[/tex]

step 3

Find the measure of angle y

we know that

[tex]y^o+(z+10)^o=180^o[/tex] ---> by supplementary angles (form a linear pair)

we have

[tex]z=121^o[/tex]

substitute

[tex]y^o+(121+10)^o=180^o[/tex]

[tex]y=180^o-131^o=49^o[/tex]

step 4

Find the measure of angle w

we know that

[tex]w^o+(z-13)^o=180^o[/tex] ---> by supplementary angles (form a linear pair)

we have

[tex]z=121^o[/tex]

substitute

[tex]w^o+(121-13)^o=180^o[/tex]

[tex]w=180^o-108^o=72^o[/tex]


Related Questions

Andre had lots of Halloween cand. He ate the same amount of candy each day. After 10 days he had 115
pieces. After 18 days he had 43 pieces. How many will he have after 22 days?

Answers

Answer:

he had 343 pieces of candy after 22 days

Step-by-step explanation:

You can find this by first divide 10/ 115 this is equal to 15.5 to find how many candies he eats per day. Then you multiply 15.5 by 22(days) to find this answer .

Andre eats 9 pieces of candy per day. After 18 days, he had 43 pieces. By calculating his daily consumption, we can deduce that after 22 days, Andre will have 7 pieces of candy left.

The question asks us to determine how many pieces of candy Andre will have after 22 days, given the information on how many he had after 10 and 18 days.

First, let's find out how much candy Andre eats each day. After 10 days, he had 115 pieces, and after 18 days, he had 43 pieces.

Calculate the difference in the number of days: 18 - 10 = 8 days.Calculate the difference in the amount of candy: 115 - 43 = 72 pieces.Divide the candy difference by the days' difference to find out how much candy he eats daily: 72 pieces / 8 days = 9 pieces/day.Find out how many days are between day 18 and day 22: 22 - 18 = 4 days.Calculate the amount of candy Andre will eat in 4 days: 9 pieces/day
4 days = 36 pieces.Subtract the amount he will eat in 4 days from the amount he had on day 18: 43 pieces - 36 pieces = 7 pieces.

Therefore, Andre will have 7 pieces of candy left after 22 days.

if I work 4 days a week and get 8 dollars a day. How much will I make in 2months

Answers

Answer:

$256

Step-by-step explanation:

Alright so,

There are 7 days in a week and you're only working 4 of those days. In one week you would make $32 since 4*8=32. (4 being the days you work and 8 being the amount you get a day)

There are about 4 weeks in one month and 4*2=8, therefore there are 8 weeks in 2 months.

Remember, in one week you make $32. What you can do now is multiply, it's easy work and you'll get it fast:)

32x8=$265

Hope it helps!

Answer:

256

Step-by-step explanation:

What would 20-(2+1)-6÷3 be

Answers

The answer is 15 ....

Answer:

15

Step-by-step explanation:

2+1=3

6 divided by 3= 2

20-3-2=15

distributive property to simplify 64-16

Answers

Final answer:

The expression 64-16 simplifies to 48, and does not need the distributive property for simplification as it is a straightforward subtraction.

Explanation:

The question is asking to use the distributive property to simplify the expression 64-16. While this expression doesn't necessarily require the distributive property as it's a simple subtraction, sometimes in mathematics we leverage distributive properties or other algebraic rules to simplify or reorganize expressions. However, if we have a closer look at the provided reference information, none of it relates directly to the expression 64-16, which simplifies to 48. Therefore, there's no need to apply the distributive property here; the expression is already in its simplest form.

What is the value of x in the equation 4 and StartFraction 3 Over 10 EndFraction minus (2 and two-fifths x + 5 and one-half) = one-half (negative 3 and three-fifths x + 1 and one-fifth)?

Answers

The value of x is –3.

Solution:

Given statement:

4 and Start Fraction 3 Over 10 End Fraction minus (2 and two-fifths x + 5 and one-half) = one-half (negative 3 and three-fifths x + 1 and one-fifth)

Let's convert this into algebraic expression.

[tex]$4\frac{3}{10} -\left(2\frac{2}{5}x+5\frac{1}{2}\right)=\frac{1}{2}\left(-3\frac{3}{5}x+1\frac{1}{5}\right)[/tex]

First convert mixed fraction into improper fraction.

[tex]$\frac{43}{10} -\left(\frac{12}{5}x+\frac{11}{2}\right)=\frac{1}{2}\left(-\frac{18}{5}x+\frac{6}{5}\right)[/tex]

[tex]$\frac{43}{10} -\frac{12}{5}x-\frac{11}{2}=-\frac{18}{10}x+\frac{6}{10}[/tex]

Now, take LCM and make the denominators same.

LCM of 2, 5, 10 = 10

[tex]$\frac{43}{10} -\frac{12\times2}{5\times2}x-\frac{11\times5}{2\times5}=-\frac{18}{10}x+\frac{6}{10}[/tex]

[tex]$\frac{43}{10} -\frac{24}{10}x-\frac{55}{10}=-\frac{18}{10}x+\frac{6}{10}[/tex]

Arrange like terms one side of the equation.

[tex]$\frac{18}{10}x -\frac{24}{10}x=\frac{6}{10}-\frac{43}{10}+\frac{55}{10}[/tex]

[tex]$\frac{18x-24x}{10} =\frac{6-43+55}{10}[/tex]

[tex]$\frac{-6x}{10} =\frac{18}{10}[/tex]

[tex]$-6x=\frac{18\times10}{10}[/tex]

[tex]$-6x=18[/tex]

Divide both sides of the expression by –6, we get

x = –3

Hence the value of x is –3.

Answer:

-3

Step-by-step explanation:

slope 3, y-intercept 6​

Answers

y = 3x + 6. That is the answer in y = mx + b format.

1/3+1/4 I really don’t get this so can someone please help me with this problem

Answers

Answer:

7/12

Step-by-step explanation:

You have to find a common denominator, so you would multiply 3 from the 1/3 by 4 which gets you twelve. And bc you multiplied the 3 you have to multiple the 1 so 1/3 would be 4/12. You would then multiply 4 by 3 and get 12. Then do the same to the one on top. So 1/4 would be 3/12. You then add 3 and 4 and get 7. That’s the numerator, the denominator stays 12. So it would be 7/12

What
percent of 150 is 225?

Answers

The percent is 66.67
Final answer:

To determine what percent 225 is of 150, the calculation (225 / 150) × 100% is used, resulting in 225 being 150% of 150.

Explanation:

To find what percent of 150 is 225, we can use the formula for calculating percents:

Percentage = (Part / Whole) × 100%

Where 'Part' is 225 and 'Whole' is 150. Now, let's calculate:

Percentage = (225 / 150) × 100%

Percentage = 1.5 × 100%

Percentage = 150%. So, 225 is 150% of 150.

Use what you know about decimals or fractions to explain why (0.2)⋅(0.002)=0.0004.

Answers

Answer:

you take 0.002 and multiply this by 0.2, to then get your answer of 0.0004

Step-by-step explanation:

Given the system

2X + 3Y = 18

-2X + 5Y = 14

Explain how you would solve this system using combination. Give the solution as a coordinate pair (X,Y)

2. Given the system

3x + 4y = 5

2x +7y = 12

Explain how you would solve this system using combination. Give the solution as a coordinate pair (X,Y)

Answers

Answer:

1.Therefore the solution of given system is (3,4)

2.Therefore the solution of given system is (-1,2)

Step-by-step explanation:

1.

Given the system

2x +3y =18...........(1)

-2x+5y =14...........(2)

Adding the equation (1) and (2)

2x+3y-2x+5y= 18+14

⇔8y = 32

⇔[tex]y = \frac{32}{8}[/tex]

⇔y = 4

Putting the value of y in equation (1)

2x + 3. 4=18

⇔2x+12 =18

⇔2x = 18-12

⇔2x = 6

⇔x =3

Therefore the solution of given system is (3,4)

2.

Given the system

3x +4y = 5..........(a)

2x +7y =12...........(b)

Equation (a) ×2 - equation (b)×3

2(3x+4y)- 3(2x+7y) = 2.5 -12.3

⇔6x + 8y -6x -21y = 10-36

⇔ -13y = -26

⇔[tex]y=\frac{-26}{-13}[/tex]

⇔y = 2

Putting the value of y in equation (a)

3x +4.2 =5

⇔3x = 5 -8

⇔3x = -3

⇔x = -1

Therefore the solution of given system is (-1,2)

Reid and Maria both play soccer. This season Reid scores 4 less than twice the number of goals that Maria scored the difference in the number of goals they scored was 6 how many goals did each of them score.

Answers

Answer: Reid scored 1 and Maria scored 5.

Step-by-step explanation:

5 x 2 = 10

10-4= 6

5 + 1 = 6

Jared deposits $2 into his savings account every day for six weeks. Using the associate

Answers

Answer:

(2*7)*6 or 2*(7*6)  = $84

Step-by-step explanation:

The associative property would always give the same value as an answer no matter the way of expression, once the expressions are right. So in this case,

Since has saves $2 every day and there are 7 days in a week,

2*7

and save this continously for 6 weeks.

(2*7)*6

This equals $84

OR

7 days in a week for 6 weeks

7*6

and saved $2 per day

2*(7*6)

This equals $84

10.6666666667 as a fraction

Answers

The fraction form of the number 10.666666667 is,

⇒ 32/3

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.

Given that,

A number is,

⇒ 10.6666666667

For the fraction form,

Let us assume that,

⇒ x = 10.666666667 .. (i)

Multiply by 10 on both sides,

⇒ 10x = 106.666666667  .. (ii)

Subtract (ii) from (i);

⇒ 10x - x = 106.666666667 - 10.66666667

⇒ 9x = 96

Divide 9 on  both sides,

⇒ x = 96/9

Or, it can be written as,

⇒ x = 32/3

So, the fraction form is, 32/3

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Final answer:

To convert the decimal 10.6666666667 to a fraction, we write it as the sum of 10 and the repeating decimal 0.6666666667. The repeating decimal equates to 2/3 after simplification, leading to the mixed number 10 2/3 or the improper fraction 32/3.

Explanation:

To convert the decimal 10.6666666667 to a fraction, we need to express it as the sum of its whole number part and its fractional part. The whole number part is 10, and the fractional part is 0.6666666667.

First, let's focus only on the fractional part. To turn 0.6666666667 into a fraction, notice that it's a repeating decimal. If we denote the repeating part by 'x', the equation will be:

x = 0.6666666667

Multiplying by 10 gives:

10x = 6.6666666667

Subtracting the original equation from this new equation:

9x = 6

Now, we solve for 'x':

x = 6/9

However, this fraction can be simplified to:

x = 2/3

Therefore, the fraction form of 10.6666666667 is 10 2/3, which can also be written as an improper fraction:

(10 × 3/3) + 2/3=(30/3) + 2/3=32/3

Enzo is making a scale drawing of the rectangle below. A rectangle has a length of 8 centimeters and width of 5 centimeters. Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct? Enzo is correct because he used a factor of 2 to enlarge the rectangle. Enzo is correct because he doubled one dimension and added the two lengths to get the other dimension. Enzo is not correct because the enlarged rectangle should be 16 centimeters by 5 centimeters. Enzo is not correct because he did not multiply the length and width by the same factor.

Answers

Answer:

Enzo is not correct bc he did not multiply the length and width by the same factor

Hopes that helped:P

Answer:

the answer is d

Step-by-step explanation:

like this if you like anime

A person invests 7500 dollars in a bank. The bank pays 4% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 12800 dollars?

Answers

Answer:

13.6 years

Step-by-step explanation:

From the question;

Money invested (Principal) is 7500 dollars Rate of interest is 4% compounded annually Amount, (money accrued ) is 12800 dollars

We are needed to determine the time it took for the money to reach the given amount;

To solve the question we need to know the compound interest formula, that is;

[tex]A=P(1-\frac{r}{100})^n[/tex]

Where n is the interest periods;

Therefore, substituting the variables with the corresponding values, we can determine n.

Therefore;

[tex]12800=7500(1-\frac{4}{100})^n[/tex]

Dividing both sides by 7500, we get;

[tex]1.7067=(1-\frac{4}{100})^n[/tex]

[tex]1.7067=(1.04)^n[/tex]

Introducing logarithms on both sides;

[tex]log1.7067=log(1.04)^n\\nlog1.04=log1.7067\\n=\frac{log1.7067}{log1.04} \\n=13.63[/tex]

Thus, n=13.6 years

Thus, it would take 13.6 years for the invested money to accumulate to 12800 dollars

20 POINTS!!

What is the GCF of 24 a^3b and 36 ab^2?

a. 2 ab
b. 4 a^3b
c. 12 ab
d. 72 a^3b^2

Answers

Answer:

option c - 12 ab

Step-by-step explanation:

Two numbers are , 24 a³b and 36 a b².

The meaning of G C F between two number is that greatest number which divide both the number.

We will factorize , 24 a³b and 36 a b² and take out the common factors to determine their G CF.

24 a³ b= 2×2×2×3×a×a×a×b  

36 a b²=2×2×3×3×a×b×b

G C F(Greatest common factor)=2×2×3×a×b

please mark me brainliest :)

   

helpppppppppppppppppp

Answers

Answer:

[tex]13 \frac{1}{8} + 21 \frac{3}{4} = 13 \frac{1}{8} + 21 \frac{6}{8} = 34 \frac{7}{8} [/tex]

[tex]35 \frac{1}{2} - 34 \frac{7}{8} = 35 \frac{4}{8} - 34 \frac{7}{8} = 34 \frac{12}{8} - 34 \frac{7}{8} = \frac{5}{8} [/tex]

The correct answer is C.

A tank is 5/8 filled with water. When the metal cube is placed in the tank, it is 3/4 full. Use the guess, check, revise strategy to find the dimensions of the cube.

Answers

The cube has the dimensions of:

[tex]1.26m \ by \ 1.26m \ by \ 1.26m[/tex]

Explanation:

A cube is a prism whose sides all have the same length. So the dimension of this cube will be given by one of its sides. For any object that is submerged in water, the volume of the displacement liquid equals the volume of the object.

[tex]For \ any \ cube \ the \ volume \ in \ terms \ of \ one \ side \ (s) \ is: \\ \\ V=s^3[/tex]

Suppose the volume of the tank when full is [tex]16m^3[/tex], so if it is 5/8 filled with water, then:

[tex]V_{5/8}=\frac{5}{8}(16) \\ \\ V_{5/8}=10m^3[/tex]

When the metal cube is placed in the tank, it is 3/4 full:

[tex]V_{3/4}=\frac{3}{4}(16) \\ \\ V_{3/4}=12m^3[/tex]

So the difference between these two volumes is the displacement volumen that equals the volume of the cube:

[tex]V=V_{3/4}-V_{5/8} \\ \\ V=12-10 \\ \\ V=2m^3[/tex]

So, the side of the cube is:

[tex]s=\sqrt[3]{2} \\ \\ \boxed{s\approx 1.26m}[/tex]

Learn more:

Volume of a sphere: https://brainly.com/question/12503759

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A family room has a circular rug with a radius of 7 m .

​The rug's area is?


Answers

Answer:

The rug's area is equal to 49π m².

General Formulas and Concepts:
Geometry

Area of a Circle Formula: A = πr²

r is radius

Step-by-step explanation:

Step 1: Define

Identify given.

r = 7 m

Step 2: Find Area

[Area of a Circle Formula] Substitute in radius r:
A = π(7 m)²Evaluate:
A = 49π m²

∴ the family room circular rug with a circle radius of 7 meters has an area of 49π m². And we have solved our problem!

---

Topic: Geometry

What is 1 2/4 x 3 5/6

Answers

Answer:

5.75

Step-by-step explanation:

We can first off make them improper fractions. They're easier to deal with.

1 2/4 = 6/4.

3 5/6 = 23/6

6/4 * 23/6.

Multiply numerators: 23 * 6 = 138.

Multiply denominators: 4 * 6 = 24.

138/24.

Simplify: 23/4

If 5n = 0,then what does 6n equal

Answers

Answer:0

Step-by-step explanation:

Because any multiples by 0 is 0

Answer:

0

Step-by-step explanation:

Since 5 x n = 0, n has to be 0 since you can’t multiply anything but 0 to get the result of 0. Hope this helped!

Water tank A has a capacity of 550 gallons and is 66% full. Water tank B is 53% full. The ratio of the capacity of Tank A to Tank B is 11:15.
How much water is in Tank A?

Answers

363 gallons of water is in Tank A

Solution:

Water tank A has a capacity of 550 gallons and is 66% full

Let, w = 550

p = 66 % = 0.66

The percent equation is: a = p . w

where,

"a" is the gallons of water in Tank A

p is the percent in fraction or decimal form

w is the capacity of tank A

Therefore,

[tex]a = 0.66 \times 550\\\\a = 363[/tex]

Thus 363 gallons of water is in Tank A

Give a real world example for a system of equations! Max points!!!

Answers

Answer:

likewise your friend is two times older than u and u r two times younger than him then assume the given sum as 120 so your friend"s age will be 2x and ur age will be y so the sum obtained Is 2x+y=120

Answer: Alex had 8 apples to share Amon him and three of his friends. What is 8 / 4 ? It is 2

Step-by-step explanation:

What is 0.5p - 3.45 = -1.2

Answers

Simple. The answer is p=4.5

NEED ANSWER ASAP!!!!!!!

in the system: {y=28+0.05x}

{y=25+0.07x}

what is the substitute for x where y is the same on both equations?

Answers

Hi there (◕‿-)

Since both equations are equal to y, they must equal each other. So set them to equal each other.

28 + 0.05x = 25 + 0.07x      (✿ ♥‿♥)

Let's start by subtracting 25 from both sides!

3 + 0.05x = 0.07x (28-25=3, 25-25=0)

Now let's subtract 0.05 from both sides   O(≧▽≦)O

3 = 0.02x

We need this x by itself, so let's get rid of it. Do this by divide both sides by 0.02 ( ´_⊃`)

150 = x

So x = 150. Let's test this. Substitute 150 in for x in both equations! \(^○^)人(^○^)/

28+0.05(150) = 25+0.07(150)

28 + 7.5 = 25 + 10.5 (0.05*150=7.5, 0.07*150 = 10.5)

35.5 = 35.5

It works! (ノ◕ヮ◕)ノ*:・゚✧

So x = 150

what is the first step when dividing two fractions

Answers

Answer:

Completely factor both the numerators and denominators of all fractions.

Step-by-step explanation:

A dad has two daughters – Wendy and Julia. Wendy is twice as old as Julia. The man is now five times as old as Wendy, and in 4 years he will be six times as old as Julia. Find the present age of the father.

Answers

father is 50

Julia's age : a year-old

Wendy is twice the age of Julia

= > Wendy = 2a year-old

Dad's age : b year-old

" The man is now five times as old as Wendy " b / 2a = 5 <=> b = 10a

" In four years he will be six times as old as Julia " :

( B + 4 ) / (a + 4 ) = 6 + 4 = 6. <=> b (a + 4 )

<=> B = 6a +20

I have two equations :

6a + b = 20

b = 10a

= > 10a = 6a + 20 - > a = 5

- > B = 10a = 50

Answer:

50

Step-by-step explanation:

Ralph’s shirt company sells t-shirts for $7.50 each with a flat rate of $10 for shipping. Frank’s t-shirt company sells t-shirts for $10 each with free shipping.

Answers

Answer:

I assume your asking who's is better and why?

Step-by-step explanation:

Ralph has stated that for 1 shirt it will cost

$7.50 + $10 shipping= $17.50

Frank says it's $10 a shirt no shipping

if you work out the cost of Ralph's up to 5 shirts using the equation

($7.50 x number of shirts ) + $10 shipping

with each equation replace number of shirts with the number 1,2,3,4 and 5

1 shirt will cost you $17.50

2 shirts will cost you $25.00

3 shirts will cost you $32.50

4 shirts will cost you $40.00

5 shirts will cost you $47.50

at Frank's shop

1 shirt will cost you $10

2 shirts will cost you $20

3 shirts will cost you $30

4 shirts will cost you $40

5 shirts will cost you $50

Frank's is better to buy no more than 4 shirts from as he's cheaper up to 4 shirts.

Ralph is cheaper for bigger orders with 5 or more shirts in them

Final answer:

The question deals with the comparison of the costs of buying T-shirts from Ralph’s company versus Frank’s company. The cost differs based on the number of T-shirts purchased and the associated shipping fees.

Explanation:

The question is asking for a comparison between the two companies selling T-shirts and the associated costs. Ralph's company sells T-shirts for $7.50 each with an additional flat rate of $10 for shipping. In contrast, Frank's company sells T-shirts at a slightly higher price of $10 each but does not charge any shipping fees.

For example: If a customer wants to buy one T-shirt from each company, from Ralph’s company it would cost $7.50 (T-shirt price) + $10 (shipping fee) = $17.50. From Frank’s, it would cost $10 (T-shirt price) since shipping is free. So the cost would be different in both cases. However, if the customer opts to buy multiple t-shirts, the total cost might change depending on the number of t-shirts they decide to buy because of the fixed shipping cost on Ralph's side.

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What is the result when 4x2 + 7x − 5 is subtracted from 9x2 − 2x + 3?

Answers

Answer:

-10 + 9x - 8

Step-by-step explanation:

4x2 + 7x - 5 subtracted from

9x2 -2x + 3

8 + 7x - 5

18 - 2x + 3

(8-18) (+7x - -2x) (-5 - +3)

-10 ( +7x +2x) (-5-3)

-10 + 9x -8

Final answer:

The result when 4x2 + 7x − 5 is subtracted from 9x2 − 2x + 3 is found by adding the additive inverse of each term in the polynomial being subtracted. Result is: 5x2 - 9x + 8.

Explanation:

Subtraction of Polynomials:

To find the result when 4x2 + 7x − 5 is subtracted from 9x2 − 2x + 3, first remember that subtraction of polynomials is equivalent to adding the additive inverse of each term in the polynomial being subtracted.

The inverse of 4x2 is -4x2The inverse of 7x is -7x and,The inverse of -5 is +5

So, 4x2 + 7x − 5 becomes -4x2 - 7x + 5. We then add this to 9x2 − 2x + 3 term by term.

The final result is: (9x2 + -4x2) + (-2x - 7x) + (3 + 5) = 5x2 - 9x + 8

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When Rosa tripped and fell into a muddy puddle at lunch (she was so embarrassed!), she knew
exactly what would happen: within ten minutes, the two girls who saw her fall would each tell
four people what they had seen. Within the next ten minutes, those eight students would each
tell four more people. Rosa knew this would continue until everyone in the entire school was
talking about her muddy experience. If there are 2016 students in the school, how many
"generations” of gossiping would it take before everyone in the school was talking about Rosa?
How many minutes would it take? Graph the situation.

Answers

Final answer:

Explanation of the number of generations and minutes it would take for gossip to reach everyone in a school.

Explanation:

The total number of students in the school: 2016

Number of students each person tells: 4

Generations needed: Log base 4 of 2016 is approximately 4.033.

Number of minutes: Each generation is 10 minutes, so 4.033 generations would be approximately 40.33 minutes.

Graph: As the number of generations increases, the number of people reached grows exponentially.

Other Questions
In the case of Schenck v. United States (1919) concerned protest activities against American involvement in World War I. Justice Oliver Holmes, Jr. said that trying to convince draft-age men to resist induction was intended to result in a crime, and posed a "clear and present danger" of succeeding. The Supreme Court decision in the case related to a limitation on which of the following? (1 point)REVIEW GUIDELINES:1. Freedom of the press2. Free exercise of religion3. Freedom of speech4. Cruel and unusual punishment The newspaper article praised the actions of Ponyboy, Johnny, and Dally; however, something in the column about him, Soda, and Darry disturbed him. Explain. Jared told his boss, Maggie, that he is going to start training for the upcoming marathon to be healthier and to have more energy for work. When Maggie asked him about his running history, Jared said, "I really have never run before and don't exercise much. I just know I need to do something." Maggie replied, "You should start slowly, maybe setting smaller, realistic exercise goals that are achievable." Maggie is helping Jared set aA.single-use plan.B.SMART goal.C.standing plan.D.simplistic goal.E. focal point. Harry ate 6 candies. Jake ate 2 fewer candies than Harry. How many candies did jake eat? Archaeal flagella __________. a. rotate as bacterial flagella do b. do not contain a filament c. grow by the addition of subunits at the tip d. are powered by the flow of hydrogen ions across the membrane When 18 is subtracted from 6 times a number the result is -12 what is the number How many electrons in an atom can have each of the following quantum number or sublevel designations?(a) 2s (b) n = 3, l = 2(c) 6d As a first step in solving the system shown, Yumiko multiplies both sides of the equation 2x 3y = 12 by 6. By what factor should she multiply both sides of the other equation so that she can add the equations and eliminate a variable? What one-variable equation is she left with after adding?5x + 6y = 182x 3y = 12Factor:________Equation:________x=_________ The height y of a jumping frog can be modeled by y = -16x^2+ 4x, where x is the time inseconds) since the frog jumped from the ground. Find the roots of the equation when y = 0Explain what the roots mean in this situation. "Shoulder spying" is used in public or semipublic settings when individuals gather information they are not authorized to have by looking over another individual's shoulder or viewing the information from a distance. True or false? A rhinoceros is at the origin of coordinates at time t1 = 0. For the time interval from t1 = 0 to t2 = 12.0 s, the rhinos average velocity has x-component - 3.8 m/s and y-component 4.9 m/s. At time t2 = 12.0 s, (a) what are the x- and y-coordinates of the rhino? (b) How far is the rhino from the origin? formula for sodium iodine What is the perimeter of a square whose diagonal is 3 square root 2? Show all work on how you got your answer 1. How has the human population size changedthroughout history? Suppose the exchange rate of US dollar to Japanese yen exchange rate is $1 for every 107.35 yen, and the Japanese yen to Bitcoin exchange rate is 1,086,300 yen for every 1 Bitcoin. If someone traded $83,000 US dollars for Japanese yen, then traded the yen for Bitcoin, how many Bitcoin would that person end up with? Round your answer to the nearest whole Bitcoin. what is the product of 2/5 and 2/3 On September 1, 2021, Hiker Shoes issued a $108,000, 8-month, noninterest-bearing note. The loan was made by Second Commercial Bank where the stated discount rate is 10%. Hiker's effective interest rate on this loan (rounded) is: (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Create at least 3 subtraction problems that have a common denominator of 20 using the fractions one sixth two fifths four sevenths three fourths three eights one half At the fair, you spend $6 for food, then use the rest of your $20 to buy ride tickets. You haveenough money to buy 56 tickets. How much does each ticket cost?a. $ 0.20 c. $0.35b. $0.25 d. $ 0.48 Categorical or Quantitative (Numerical)?Airbnb is a large online marketplace for peopleto list, discover, and book unique accommodations around the world. This online service hasgrown into a multi-billion dollar industry that is even popular right here in Ames, IA. Classifyeach variable below as categorical or quantitative.(a) Month of the year with the most Airbnb reservations in Ames, IA.(b) Airbnbs total annual prot. (c) Type of rental on Airbnb ( Type 1= whole house, Type 2 = private room, Type 3 = shared room, etc.). (d) Unique 10-digit reservation number for each Airbnb stay. (e) Number of house rentals available in a given county of Iowa.