angle 1 and angle 2 are supplements with m angle 1 = 10y + 46 and m angle 2 = 6y + 6. Find m angle 2

Answers

Answer 1

Answer: 54 Degrees

Step-by-step explanation:
Supplements add up to 180 deg.
Ang. #1 + Ang. #2 = 180 Deg
Angle 1=10y+46
Angle 2= 6y+6
16y+52=180 deg
16y=128
y=8
Since angle #2 is 6y+6, plugin y=8 6(8)+6=54 deg

:)


Related Questions

Given mn, find the value of x.
Answer:
(2x+5)° (8x+5)°
Submit Answer
m
00

Answers

Step-by-step explanation:

2x+(-8x) +5-5

-5=0. u Wii collect like terms and if u do that that's the answer if am wrong let me know

The table shows the percent of each type of movie in Brayden's collection. What is the ratio of Action movies to all of the movies in Brayden's collection?



Movie Type Percent of Collection
Comedy 20%
Action 40%
Drama 15%
Science Fiction 25%


Select all that apply.

A.
2 : 5

B.
3
20
C.
2
3
D.
2
5
E.
3 : 20

Answers

the ratio of action movies to all movies is 2: 5 .

In mathematics, a ratio illustrates how frequently one number appears in another. On a fruit tray, the ratio would be eight to six if there were eight oranges and six lemons.

Ratios can be lowered by dividing each quantity by the sum of all the common factors between the numbers (much like fractions are).When the ratio's numbers are the smallest practical integers, the fraction is said to be in its simplest form.The ratio's antecedent and consequent are frequently referred to as A and B, respectively.

Let Brayden has x number of  movies in total.

Total number of action movies in  his collection = 40% of x = 0.4 x

Other movies = 1 - 0.4x = 0.6 x

Ratio of action movies to all movies = 0.4x : x = 2: 5

Therefore the ratio of action movies to all movies is 2: 5 .

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Given A-
2 2
1 3
what is A-¹?

Answers

The inverse of matrix A = [tex]\left[\begin{array}{cc}2&2&1&3\\\end{array}\right][/tex] is [tex]A^{-1} = \frac{1}{4}[/tex] [tex]\left|\begin{array}{cc}3&-2&-1&2\\\end{array}\right|[/tex]      

The given matrix is A = [tex]\left[\begin{array}{cc}2&2&1&3\\\end{array}\right][/tex]

The inverse of a matrix is given by

[tex]A^{-1} = \frac{1}{|A|} adjA[/tex]                   ...(1)

Now, determinant of matrix A is

|A| = [tex]\left|\begin{array}{cc}2&2&1&3\\\end{array}\right|[/tex]

= (3)(2) - (2)(1)

= 6 - 2

= 4

Now, adjoint A will be

[tex]A_{11}[/tex] = 3

[tex]A_{12}[/tex] = -1

[tex]A_{21}[/tex] = -2

[tex]A_{22}[/tex] = 2

AdjA = [tex]\left|\begin{array}{cc}3&-2&-1&2\\\end{array}\right|[/tex]

Now, substituting the values of |A| and AdjA in equation (1), we get

[tex]A^{-1} = \frac{1}{4}[/tex] [tex]\left|\begin{array}{cc}3&-2&-1&2\\\end{array}\right|[/tex]        

Therefore, [tex]A^{-1} = \frac{1}{4}[/tex] [tex]\left|\begin{array}{cc}3&-2&-1&2\\\end{array}\right|[/tex]      

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(X) 1.10.PS-7
Simplify the expression. Write the answer in scientific notation.
(7×10¯²) (9×10¯²)
(7×10¯²) (9×10¯²) = ¯
(Simplify your answer. Use scientific notation. Use the multiplication symbol in the r
Enter you

Answers

The scientific notation is 6.3 × [tex]10^{-3}[/tex]

The expression is ( 7 ×[tex]10^{-2}[/tex] )( 9 × [tex]10^{-2}[/tex])

Calculate the product or quotient

=63 × ([tex]10^{-2}[/tex] ×[tex]10^{-2}[/tex])

Simplify using the exponent rule with the same base [tex]a^{n} . a^{m}[/tex] = [tex]a^{n + m}[/tex]

=63 × [tex]10^{-2-2}[/tex]

=63 ×[tex]10^{-4}[/tex]

= 6.3 × [tex]10^{-3}[/tex]

Therefore the scientific notation is 6.3 ×[tex]10^{-3}[/tex].

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3.if the m∠1 is 57° , find the measure of ∠6.
Show your work

Answers

123°

180°-57°=<6=123°

Would the image be categorized as a function or as a relation? Use at least one sentence to explain your answer.

Answers

Answer:

This is a relation, not function.

Step-by-step explanation:

The attached graph is NOT a function, since it doesn't pass the vertical line test.

If a vertical line cuts the graph more than once, then this relation is not a function.

If the height of a cone is three
times of the radius of the base and its volume is
343 cm³, then find the radius of the base of the cone

Answers

As a result, the cone's volume is equal to three times its radius √343/π .

How to understand the concept of mensuration?

The word "mensuration" literally means "to measure." It is typically employed when dealing with geometric shapes when it is necessary to calculate different physical values like perimeter, area, volume, or length. Mensuration is the term for measuring these amounts.

According to the given data:

So with respect to the information provided to us :

Height of a cone =3* radius of the base

let height be h and radius be r

h=3r

The Formula for volume of cone is:

V=1/3hπr²

Putting the value we get:

343=1/3*π*r²*3r:

r= √343/π

Therefore ,

the volume of the cone whose height is three times its radius is:

√343/π

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A straight road makes an angle of 15 degrees with the horizontal. When the angle of elevation of the sun is 57 degrees, a vertical pole at the side of the road casts a shadow 75 feet long directly down the road, as shown in the figure. Approximate the length of the pole. Round to the nearest hundredth.

Answers

The length of the pole is 19.15 feet.

What is the angle of elevation?

The angle of elevation is the angle created when an observer looks at an object placed above its height in relation to the eye level or the horizontal line. An angle of elevation is, for example, the angle created between the line of sight and the horizontal line when a man on Earth observes the Sun.

Given:

Angle made by straight road = 15°

Angle of elevation of the sun = 57°

Length of the shadow = 75 feet

∠ACB = 90° - 57° = 33°

∠CAB = 57° - 15° = 42°

Using Sine Law to find BC i.e.length of the pole.

[tex]\frac{BC}{sin A} = \frac{AB}{sin C}[/tex]

[tex]\frac{BC}{sin 42} = \frac{75}{sin 33}[/tex]

[tex]BC= \frac{75sin 42}{sin 33}[/tex]

BC ≅ 19.15 feet (to the nearest hundredth.)

Hence, the approximate length of the pole is 19.15 feet.

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A car journey is m
miles long.

One kilometre is equivalent to x
miles.

The car uses one litre of fuel to travel a distance of f
kilometres.

Fuel for the car costs p
pence per litre.

Which of the following expressions gives the cost of fuel for this journey, in pounds?

Answers

The expression gives the cost of fuel for this journey is option H mp / 100 fx

Given,

The total distance of a car journey = m miles

One kilometer = x miles

The amount of petrol needed to travel a distance of f kilometers = 1 liter

Cost of the fuel = p pence/ liter

Now we have to find the expression which gives the cost of fuel for this journey in pounds.

1 pound = 100 pence

So,

The distance in miles we can travel with 1 liter of petrol = fx

Total liter of petrol needed for the journey = m/fx

Total cost of petrol for the journey = mp / fx100

That is,

The expression gives the cost of fuel for this journey is option H mp / 100 fx

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The question is incomplete. Completed question is given below:

A car journey is m miles long.

One kilometre is equivalent to x miles.

The car uses one litre of fuel to travel a distance of f kilometres.

Fuel for the car costs p pence per litre.

Which of the following expressions gives the cost of fuel for this journey, in pounds?

(There are 100 pence in one pound.)

A. 100fmpx

B. 100fmp/x

C. 100mpx/f

D. 100mp/fx

E. fmpx/100

F. fmp/100x

G. mpx/100f

H. mp/100fx

John's commute to work is 20kmhr while Sheri's commute is 500mmin.


Who has the fastest commute to work in mihrif 1.61km=1mi?

Answers

By 6.2 miles per hour, Sheri commutes more quickly.

We are given that,

John travels to work = 20km/hr

Sheri travels to work = 500m/min converting this into km/hr we get ,

1.61km/hr or 1 mile

John travels to work at the following rate:

[tex]\frac{20 km}{1 hr} * \frac{1 mile}{1.61km} = 12.42 miles/hr[/tex]

Sheri travels work at the following rate:

[tex]\frac{500m}{1min} *\frac{1km}{1000 m}*\frac{1mile}{1.61km}*\frac{60min}{1hr}=18.63 miles/hr[/tex]

Computing the difference between the two,

18.63 miles/hr - 12.42 miles/hr = 6.21 miles/ hr ≈ 6.2 miles/ hr

thus, by 6.2 miles per hour, Sheri commutes more quickly.

What are conversions in maths?

An amount that is multiplied or divided between one set of units and another is known as a conversion factor. In the event that a conversion is necessary, it must be carried out with the proper conversion factor to produce an equivalent value. For instance, when translating between inches and feet, 12 inches equals one foot.

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What number does
2(x+3)²
3(x-1)²
represent WHEN x = 3?

Answers

Answer:

72 and 12

Step-by-step explanation:

substitute x = 3 into the expressions

2(x + 3)²

= 2(3 + 3)²

= 2(6)²

= 2 × 36

= 72

--------------------

3(x - 1)²

= 3(3 - 1)²

= 3(2)²

= 3 × 4

= 12

how do i multiply these ? (5x-6.9)(2x+12.2)

Answers

Follow the pemdas rule Parenthesis exponents multiplication division addition subtraction

Answer:

10x^2 + 47.2x - 84.18

Step-by-step explanation:

You distribute both terms in the first set of parentheses (5x-6.9) to the terms in the second set (2x+12.2) So when you're doing it 5x gets multiplied by 2x and 12.2 and -6.9 gets multiplied by 2x and 12.2. Then you simplify as much as possible

Help please i forgot about this

Whats the product of 3 plus 4
whats 5 times 8

Answers

if you mean 3 times 4, then 3*4=12
5*8=40

What is the equation in slope-intercept form of a line that passes through the point (−2, −6) and has a slope of 12?

Answers

Answer:

y = 12x + 18

Step-by-step explanation:

Equation of line in slope-intercept form: y =mx +b

Here, m is the slope and b is the y-intercept.

  m = 12

Substitute m =12 in the above equation,

        y = 12x + b

This line passes through (-2,-6). So, plugin the point in the above equation.

       -6 = 12*(-2) + b

      -6 = -24 + b

-6 + 24 = b

         b = 18

Equation of the line:

         [tex]\sf \boxed{\bf y = 12x + 18}[/tex]

On your own sheet of paper, use long division to find the quotient of 5,550 ÷ 39. What is the remainder?

Answers

Answer: Quotient 142

Remainder 12

Step-by-step explanation:

The quotient is 142 and  the remainder is 12.

The long division method is as follows :

                                             [tex]142[/tex]

                                      [tex]39\sqrt{5550}[/tex]  

                                          -39                        

                                             165                       (3rd 5 taken down )

                                           -156    

                                                 90                     ( 0 taken down )

                                                -78  

                                                  12

step 1 : take the first two digits (55) of the divident , now multiply 39 with such a number that the product of those two must not go above 55 but should be closest to it.

step 2 : write the number on top and subtract the answer from 55.

step 3 :  Now bring down the third 5 and write it after the answer of the subtraction. So the number becomes 165.

step 4 : Again multiply 39 with such a number that the product of those two must not go above 165 but should be closest to it.

step 5 : write that number on top after the previous number and subtract the answer from 165.

step 6 : Now bring down the 0 and write it after the answer of the subtraction. So the number becomes 90.

step 7 : Again multiply 39 with such a number that the product of those two must not go above 90 but should be closest to it.

step 8 : write that number on top after the previous number and subtract the answer from 90.

We have to repeat these steps until all the digits from the divident are used and the remainder comes out to less than the divisor.

Here all the digits of divident are used and the remainder (12) is also less than the divisor (39), so we stopped.

Hence the quotient is 142 and the remainder is 12.

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Consider the matrices.

What matrix results from B + A?

Enter your answer by filling in the boxes.

Answers

Answer:

Step-by-step explanation:

[tex]\displaystyle\\A=\left[\begin{array}{ccc}-1&6\\-2&2\\4&9\\-5&-11\end{array}\right] \ \ \ \ \ \ \ \ \ B=\left[\begin{array}{ccc}-4&-1\\-8&8\\2&-7\\-6&5\end{array}\right] \\\\A+B=B+A\ (commutativity)\\\\\Rightarrow B+A=\left[\begin{array}{ccc}-4+(-1)&-1+6\\-8+(-2)&8+2\\2+4&-7+9\\-6+(-5)&5+(-11)\end{array}\right] \\\\\\ \Rightarrow B+A=\left[\begin{array}{ccc}-5&5\\-10&10\\6&2\\-11&-6\end{array}\right][/tex]

A robot can complete 5 tasks in 3/4 hour. each task is the same. how long does it take the robot to complete one task

Answers

The robot will take 0.15 hours to complete one task.

What is the unitary method of problem solving?
A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique. The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. In the unitary method, the value of a unit quantity is determined before the values of other units are determined. Direct variation and inverse variation are its two different forms of variations. When there is a direct variation, an increase or decrease in one quantity will result in an equivalent rise or fall in the other. If we increase one quantity in inverse variation, the value of another quantity will drop.

Given, time taken by robot to complete five tasks = 0.75 hours
Thus, time taken by robot to complete one task = (0.75/5) = 0.15 hours
Therefore, the robot will take 0.15 hours to complete one task.

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If f(x) = (x-4)(x+3), determine the x-intercepts of each function.
a) y=f(x)
b) y=-2f(x)
c) y=f(-1/2x)
d) y=f(-(x+1))

Answers

a) The x-intercepts of y=f(x) is (-3,0) (4,0)

b) The x-intercepts of y=-2f(x) is (-3,0) (4,0)

c) The x-intercepts of y=f(-1/2x) is (-1/8,0) (1/6,0)

d) The x-intercepts of y=f(-(x+1)) is (-5,0) (2,0)

What is x-intercept?

A line's x-intercept is the distance in x coordinates from the line's intersection with the x-axis at its origin. A location on the graph where y is 0 is known as the x-intercept. The x-intercept of a line that is perpendicular to the y-axis is undefined.

Here to determine the x-intercept put y=0,

Given f(x)=(x-4) (x+3)

a) y=(x-4) (x+3)

Replacing y by 0 we get,

(x-4) (x+3) =0

x=-3, 4

Therefore, x-intercepts of y=f(x) is (-3,0) (4,0)

b) y = -2(x-4) (x+3)

Replacing y by 0 we get,

-2(x-4) (x+3) =0

x=-3, 4

Therefore, x-intercepts of y=-2f(x) is (-3,0) (4,0)

c) y= (-[tex]\frac{1}{2x}[/tex]-4) (-[tex]\frac{1}{2x}[/tex]+3)

Replacing y by 0 we get,

(-[tex]\frac{1}{2x}[/tex]-4) (-[tex]\frac{1}{2x}[/tex]+3) =0

By solving the above equation

(-[tex]\frac{1}{2x}[/tex]-4) =0 and (-[tex]\frac{1}{2x}[/tex]+3) =0

-1/2x=4 and -1/2x=-3

x=-1/8 and x=1/6

Therefore, x-intercepts of y=f(-1/2x) is (-1/8,0) (1/6,0)

d) y=(-(x+1)-4) (-(x+1) +3)

Replacing y by 0 we get,

(-(x+1)-4) (-(x+1) +3) =0

By solving the above equation

(-(x+1)-4) =0 and (-(x+1) +3) =0

-(x+1) =4 and -(x+1) =-3

x=-5, 2

Therefore, x-intercepts of y=f(-(x+1)) is (-5,0) (2,0)

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In a Sports league each team has 36 players and 3 coaches. There are also a number of team assistants. The ratio of team assistants to players is 1/6. What is the ratio of coaches to assistants?

Answers

Answer:

1/2

Step-by-step explanation:

We know that each team has the following:

36Players + 3Coaches + ?Assistants = Sports League

We know that the ratio of assistants to players is 1/6, rewrite the equation accordingly:

36Players + 3Coaches + 6Assitants = Sports League

Now find the ratio of coaches to assistants:

3Coaches / 6Assistants = 1/2

35 = u/5 + 12 solve for u and simplify the answer as much as possible

Answers

Answer:

u = 115

Step-by-step explanation:

35 = u/5 + 12

35 - 12 = u/5

(35 - 12) * 5 = u

u = (35 - 12) * 5

u = 115

The population of a city increases by 3.1% per year. If this year's population is
290,000, what will next year's population be, to the nearest individual?

Answers

Answer:

the  next year population is 122,689      

Step-by-step explanation:

The computation of the next year population is as follows:

= This year population × increase percentage

= 119,000 × (1 + 0.031)

= 119,000 × 1.031

= 122,689

Hence, the  next year population is 122,689

The above formula is applied so that the correct value of the population could come

and the same is relevant

Determine which answer in the solution set will make the equation true.

2p + 9 = 4p − 13
S: {−11, 0, 11, 22}

Answers

Answer:

11

Step-by-step explanation:

If you input the number and then solve, you should get that #=#

2(11)+9=4(11)-13

22+9=44-13

31=31

Answer: 11

Step-by-step explanation: 2(11)+9=4(11)-13, 22+9=44-13, 31=31

PLEASE HURRYYYY

The segment contains points S(a, b) and T(c, d). Which formula should be used to find the midpoint of the segment?

Answers

In this case, the formula you would use is (a+c)/2 , (b+d)/2.

In reality, you’re using the midpoint formula. The midpoint formula is as follows:

(x1+x2)/2 , (y1+y2)/2


For example,
If you had point (2,4) and (4,8) you would plug in the equation as follows.

(2,4) = x1,y1
(4,8) = x2,y2

(2+4)/2 , (4+8)/2
6/2 , 12/2
(3,6)

So the midpoint of the two points (2,4) and (4,8) would be (3,6).

is 12x17=6x34 true or is it flase i cant do it

Answers

The answer is that it is true
True because 12x17 is 204 and 6x34 is also 204
204=204

Question 12
REASONING Given: 2a²
a
= 72. Conjecture: a = 6. Write a counterexample.

Answers

A counterexample to show that 2a^2 = 72 where a = 6 is that a = -6 will still arrive at 72

What is counterexample?

This is a term that counters a statement. we can therefore say that counterexample is one that proves a statement to be false.

How to write the counterexample

given data

2a² = 72

Conjecture: a = 6

The counterexample is a = -6

substituting a = -6 into the given equation

= 2a²

= 2 * ( -6 )^2

= 2 * ( 36 )

= 72

Since a = -6 gave same answer of 72 as a = 6 then a = -6 is the counterexample

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F(x)=3x^2-4x+8G(x)=2x-5 use the functions above to find the value of g(f(-2)) I don’t understand how to do this

Answers

Given,

[tex]f(x)=3x^2-4x+8,\text{g(x)=2x-5}[/tex]

To find g(f(-2)). we first find the value of f(-2).

The value of f(-2) is,

[tex]\begin{gathered} f(-2)=3(-2)^2-4(-2)+8 \\ \text{ =3(4)+8+8} \\ \text{ =12+8+8} \\ \text{ =28} \end{gathered}[/tex]

So now to find the value of g(f(-2)),

[tex]g(f(-2))=g(28)[/tex]

So the value of g(28) is,

[tex]\begin{gathered} g(28)=2(28)-5 \\ \text{ =56-5} \\ \text{ =51} \end{gathered}[/tex]

So the value of g(f(-2)) is 51.

If g(x) = -x, for what value of x does
g(x) = -9?

Answers

Answer:

x = 9

Step-by-step explanation:

given g(x) = - x and g(x) = - 9 , the equate right sides

- x = - 9 ( multiply both sides by - 1 )

x = 9

i give brainlest can somebdy pls help me

Answers

After evaluating the given fraction, the resultant answer is (C) 1¼.

What are fractions?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions.

So, 8 ÷ 6⅖:

Now, evaluate as follows

8 ÷ 6⅖8 ÷ 30+2/58 ÷ 32/58/1 × 5/325/4

Which can also be written as 1¼.

Therefore, after evaluating the given fraction, the resultant answer is (C) 1¼.

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Evaluate the quantity of x cubed minus 2x squared plus 3x minus 7 end quantity divided by the quantity of x minus 1 end quantity period. x squared minus x plus 2 minus 5 divided by the quantity x minus 1 end quantity x squared minus 2x plus 2 minus 9 divided by the quantity x minus 1 end quantity x squared minus x plus 4 minus 9 divided by the quantity x minus 1 end quantity x cubed minus 2x plus 2 minus 5 divided by the quantity x minus 1 end quantity

Answers

Answer:

(x^3 + 3x^2 - 2x + 7)/x- 2

Expand the numerator in the above expression

(x^3 + 5x^2 - 2x^2 + 8x - 10x - 16 + 23)/(x - 2)

Rearrange the terms of the numerator in the above expression

(x^3 + 5x^2 + 8x - 2x^2 - 10x - 16 + 23)/(x- 2)

Factorize the numerator in the above expression

[x(x^2 + 5x + 8) - 2(x^2 + 5x + 8) + 23]/(x - 2)

Factor out x^2 + 5x + 8

[(x -2)(x^2 + 5x + 8) + 23]/(x - 2)

Split the fractions

(x -2)(x^2 + 5x + 8)/(x - 2) + 23/(x - 2)

Divide the common factors

(x^2 + 5x + 8) + 23/(x - 2) hope this help btw your welcome

Answer:

The answer is really option A. x^2 - x +2-5/x-1

Step-by-step explanation:

I just took the test and got it right :)

The Smith twins, Joe and John, have a car collection.
The number of cars is represented by x.
The number of cars in Joe's collection is 2 times the number in John's collection.
The total number in both is 78. What is x, the number in John's collection?
A. 26 Cars
B. 54 Cars
C. 39 Cars
D. 78 Cars

Answers

B. 54 cars because basically I’m right

Answer:

Step-by-step explanation:

x = 39

C. 39 Cars

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Question 10 of 10 The graph of the absolute value parent function, f(x) = [xl, is stretched horizontally by a factor of 3 to create the graph of g(x). What function is g(x)? find the value of x. PLEASE HELP!! THANK YOUis (3,1) a solution of the equation y= -x + 3 what is the cytoplasm in a human cell? A light ray of wavelength 589 nm (produced by a sodium lamp) traveling through air strikes asmooth, flat slab of crown glass at an angle of 30.0 to the normal.Find the angle of refraction, r . Write an equation of a parabola with a vertex at the origin and a diretrix at y=5. For a judicial precedent established by the Supreme Court to be overturned, a ___ must be passed to ensure that the Court could not overturn it. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) = 6; = 2P(5 x 9) = please help me i don't even know I'm behind a small boat was initially drifting at 0.5 m/s down stream. the person in the boat rolled the oar for 20 s, and the boat ended traveling upstream at 2 m/s. if the boat and person weighs a total of 200 kg, what was the average net force on the small boat during the 20s period? the u.s. computes that $3 trillion of gdp was produced in the second quarter of 2014. what, if any, adjustments will it make to this number when it reports gdp for the second quarter? Question 1 (1 point)Write the equation in slope intercept form13x 11y = 12Dont forget to transpose a firewall can do which of the following? (choose all that apply.) a. screen traffic for viruses. b. determine what user is sending transmissions. c. filter traffic based on rules. d. provide a layer of protection for the network. You are hiking a trail over multiple days. At the start of your hike, you decide that you need to hike at least 22 miles in the first 3 days, but can't hike more than 34 miles, as you'll pass into swampy terrain where camping won't be possible. You want to hike the same distance each day. Let x represent the number of miles you hike each day. Tan theta=10 Find sin(2theta)+cos(2theta) The table below shows part of the operating budget of a small dairy farm for the last year. The only expense not listed is maintenance. LAST YEARS OPERATING BUDGETExpense Fraction of BudgetFood 1/3Housing 1/3 Medical Care 1/4This year the managers of the farm will change the fraction for the budget for housing to but will leave the fraction of the budget for good and medical care the same. Again, the remaining portion of the budget will be before maintenance expenses. What is the difference between the fraction of the budget for maintenance this year and last year?Show your workAnswer You are at a crowded movie theater, enjoying a great film. All of a sudden, someone yells out, Fire! People run out of the theater. There is no fire in the theater; the patron did it as a joke. Was the patrons action protected by the First Amendment? 1. PET CARE You buy a 6.3-pound bag of dry cat foodfor your cat. The function c = 6.3-0.25p representsthe amount of cat food c remaining in the bag whenthe cat is fed the same amount each day for p days.Find the zero of this function. Describe what thisvalue means in this context. First find the term that should be added so that the expression is a perfect-square trinomial. w + 7w + ___Then factor the trinomial.(___) how do i calculate the mass of the product of this equation : 2Fe+3Cl2-->2FeCl3, given that I have 5 grams of Chlorine