ABC is an isosceles right triangle in which AB has a slope of -1 and angle ABC = 90 degrees. Triangle ABC is dilated by a scale factor of 1.8 with the origin as the center of dilation, resulting in the image A'B'C'. What is the slope of B'C'?

Answers

Answer 1
The dilation by a scale factor of 1.8 means that every x and y coordinate are multiplied by 1.8 converting x,y into 1.8x, 1.8y.

This kind of transformation results in a similar figure.

So the triangle A'B'C' will be similar to triangle ABC: which means that all the angles are preserved (thy are congruent).

Being the angles congruent the slope of B'C' will be the same angle of BC.

Since, the slope of AB is - 1, the other two sopes are one 0 and the other undefined (∞). The horizontal side has slope 0 and the vertical side has slope ∞.
Since you did not attache any figure I do not know whether B'C' is the horizontal or the vertical side.

The answer is that the slope of B'C' is zero if it is the horizontal side, and the slope is ∞ if B'C' is the vertical side.



Answer 2

Answer:

Slope of 1

Step-by-step explanation:

C.  1


Related Questions

Sketch the following to help answer the question. Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P. Side QR = 5 m and diagonal QS = 6 m. Find the length of segment RP.
3 m
4 m
5 m
6 m

Answers

The length of RP is 4 m.

Since a kite is symmetric about one of its diagonals, then the other diagonal bisects that one.  Additionally, the diagonals are perpendicular to each other.  This forms two right triangles inside of the kite.

The bottom leg of the right triangle will be 3 (half of the diagonal) and the hypotenuse will be 5.  We will use the Pythagorean theorem to answer this:

3²+b²=5²
9+b²=25

Subtract 9 from both sides:
9+b²-9=25-9
b²=16

Take the square root of both sides:
√(b²) = √16
b=4

Answer:

Given: Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P. Side QR = 5m and diagonal QS = 6m.

Since, diagonals of kite bisect each other, thus QP=6m

Now, in ΔPQR, we have

(QR)²= (RP)²+(QP)²

(5)²= (3)²+(RP) ²

25=9+(RP)²

25-9= (RP)²16= (RP)²

RP= 4m

Therefore,  the length of segment RP is 4m.

Step-by-step explanation:

13 Pts

PLEASE SOMEONE HELP ME WITH THIS QUESTION
PLZ EXPLAIN

THANK U

Answers

It's the third one and the last one are the only ones that make immediate sense.
The answer is 3n+2

She starts off with 2 in the first hour

And then every additional hour ( represented with n) she designs 3

The width of Zorn's patio is labeled in the diagram below. If the perimeter of the patio is (30x + 26) feet, what is the length of the patio?

2x^2=450

Determine which statement is true about the solutions to the equation.

The solutions are -15 and 15 and both are reasonable side lengths.

The solutions are -30 and 30 and both are reasonable side lengths.

The solutions are -30 and 30 but only 30 is a reasonable side length.

The solutions are -15 and 15, but only 15 is a reasonable side length.

Answers

we have that
2x²=450 ----------> x²=450/2----------> x=√225
x1=+15
x2=-15

a reasonable length measurement should be positive
therefore

the answer is 
The solutions are -15 and 15, but only 15 is a reasonable side length.

Answer:

the answer is  (8x+9)

Step-by-step explanation:

3 is less than or equal to x, and x is less than or equal to 9

Answers

This in an expression is 3 <= x <= 9

Hope this helped!

helppppppppppppppppppppppppp

Answers

Answer:
x = 10

Explanation:
Note the following rules before we begin:
2 ln(a) = ln (a²)
ln (a) + ln (b) = ln (ab)

Now, for the given:
ln(20) + ln(5) = 2 ln(x)
ln(20*5) = ln(x²)
ln(100) = ln(x²)

This means that:
100 = x²
Therefore:
either x = 10 .........> acceped
or x = -10 .........> rejected as no negatives are allowed within ln functions

Hope this helps :)

Solve the system algebraically. Check your work.

4x + 2y = 10
3x + 2y = 6

ANSWER: {(
a0)}

Answers

Hey there! :D

We can subtract the equations from each other. 

4x-3x=x

2y-2y=0

10-6=4 

x=4 <== that's all we have left of the equation

Now plug that in to solve.

3(4)+2y=6

12+2y=6

2y=-6

y=-3

Solution: (4,-3)

I hope this helps! 
~kaikers

Answer:

x = 4 and y = -3.

Step-by-step explanation:

Given  : 4x + 2y = 10  and 3x + 2y = 6.

To find : Solve the system algebraically. Check your work.

Solution : We have given that

4x + 2y = 10 ----(1)

3x + 2y = 6.------(2)

Subtracting equation 2 from 1

4x + 2y = 10

(-)3x + (-)2y =(-) 6.

_____________

x + 0 =  4

x =4

Plug x = 4 in equation 1

4 (4) + 2y = 10.

16 + 2y = 10.

2y  = 10 -16.

2y  = -6.

On dividing by 2 both sides

y = -3.

Check:

Plug the values x =4 , y =-3 in equation 1

4 (4) + 2 ( -3) = 10

16 -6 = 10

10 =10

Verify,

Therefore, x = 4 and y = -3.

y+15 <3 for inequality

Answers

Hello there!

y + 15 < 3

Start by subtracting 15 on both sides

y + 15 - 15 < 3 - 15

y < -12

As always, it is my pleasure to help you guys on here. Let me know if you have any questions.

ANSWER THIS BEFORE 3 MINUTES, AND I WILL GIVE YOU BRAINIEST AND 15 POINTS!!!
PROBLEM:
In a heptagon, the degree measures of the interior angles are
x, x, x-2, x-2, x + 2, x + 2 and x + 4 degrees. What is the degree measure of the largest interior angle?

Answers

The largest interior angle of the heptagon, given the angle measures as x, x, x-2, x-2, x+2, x+2, x+4, is 132 degrees after solving for x.

The problem is to determine the degree measure of the largest interior angle in a heptagon. The degree measures of the interior angles are given as x, x, x-2, x-2, x+2, x+2, and x+4 degrees. To solve this, we first use the fact that the sum of the interior angles of a heptagon (7-sided polygon) is given by the formula (n-2) 180 degrees, where n is the number of sides. So, for a heptagon, the sum is

(7-2) 180 = 900 degrees.

We then set up the equation based on the given interior angles: 3x + (2x - 4) + (2x + 4) + (x + 4) = 900. Simplifying, we get 7x + 4 = 900. Solving for x, we find x = 896/7 = 128 degrees. The largest interior angle is x + 4, which equals

128 + 4 = 132 degrees.

What are the zeros of the quadratic function f(x) = 2x2 + 8x – 3? x = –2 – and x = –2 + x = –2 – and x = –2 + x = 2 – and x = 2 + x = 2 – and x = 2 +

Answers

The given quadratic function is:

[tex]f(x)=2 x^{2} +8x-3[/tex]

The zeros of the quadratic functions also known as its roots can be found using the quadratic formula.

According to the quadratic formula:

[tex]x= \frac{-b+- \sqrt{ b^{2}-4ac } }{2a} [/tex]
here,
b = coefficient of x-term
a = coefficient of x²-term
c = costant term

For given function:
a = 2
b = 8
c = - 3

Using these values in the formula, we get:

[tex]x= \frac{-8+- \sqrt{64-4(2)(-3)} }{2(2)} \\ \\ x= \frac{-8+- \sqrt{88} }{4} \\ \\ x= \frac{-8+-2 \sqrt{22}}{4} \\ \\ x= \frac{-4+- \sqrt{22} }{2} \\ \\ x= \frac{-4+ \sqrt{22} }{2}, x= \frac{-4- \sqrt{22} }{2} [/tex]

Thus, these values of x are the zeros of the given quadratic function f(x)=2x²+8x-3
The answer is A for anyone that doesn't understand the other answer.

The number 64 is a perfect

A.square and cube
B.square
C.cube

Answers

The answer to this question is A.

The prime factorization of 64 is [tex]2^6[/tex]

This can be written in two ways.

[tex]64=2^6=2^3 \times 2^3 = 8 \times 8 = 8^2[/tex]
[tex]64=2^6=2^2 \times 2^2 \times 2^2=4 \times 4 \times 4=4^3[/tex]

Thus, 64 is both a perfect square and perfect cube. Hope this helps! :)

Haruka hiked several kilometers in the morning. She only hiked 666 kilometers in the afternoon, which was 25\%25%25, percent less she had hiked in the morning.How many kilometers did Haruka hike in all?

Answers

Given that Harula hiked 6 km which is only 25 % of the distance she hiked in the morning, the distance she hiked in the morning will be:
100/25*6
=24 km
thus the total distance she hiked will be:
24+6
=30 km

Answer:

its 14 in all actually

Step-by-step explanation:

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​  

 

​  

 

Part A: Explain why we do not measure the rate at which water flows out through a shower head in cubic meters per second? In your explanation, use reasoning based on appropriate units to model this situation. (5 points) Part B: What are the two quantities that should be measured to find the rate at which water flows out of a shower head? Explain how the rate can be determined. (5 points)

Answers

We have that the stream of water is coming out in small quantities; at most liters at a time since the stream has a width of around 10cm at most times. Hence, cubic meters per second is too large a unit to measure the small quantity of water going through the shower.
We have that we can calculate the rate if we know the surface area of the flow and the speed of the water. If one multiplies those 2 together, one gets the rate because the speed of water is pretty much how much a front of water is moving per second; if you multiply it by its surface area, you get how much a volume of water is moving.
Final answer:

The units to measure the rate of water flow from a shower are smaller than cubic meters per second due to the typical small value of this rate. To determine the rate, you need to know the cross-sectional area of the outlet and the water speed, multiplying the area by the speed.

Explanation:

Part A: We do not measure the rate at which water flows out through a shower head in cubic meters per second because the typical rate of water flow from a shower is much smaller compared to one cubic meter per second. Using such a large unit for a typically small value would result in decimal figures that are often difficult to comprehend. For instance, a regular shower might output 0.01 cubic meters per minute, which convert to a very small number in cubic meters per second; hence cubic centimeters per second or liters per minute are more practical units.

Part B: To calculate the rate of flow from a showerhead, you need to know two quantities: the cross-sectional area of the outlet (which can be calculated if you know the diameter), and the speed at which the water is moving. The rate of flow (volume per unit time) can then be determined by multiplying the area by the speed of the water. Based on the given data from your textbook - a faucet with a 1.80-cm diameter and a speed of 0.500 m/s - the flow rate can be determined using the formula for the volume of a cylinder (Area of the base x Height), where in this case the 'height' would be the speed.

Learn more about Water Flow Rate Calculation here:

https://brainly.com/question/35312130

#SPJ12

Which of the following is not an identity?

A. cos^2 x csc x - csc x = -sin x

B. sin x(cot x + tan x) = sec x

C. cos^2 x - sin^2 x = 1- 2sin^2 x

D. csc^2 x + sec^2 x = 1

***i don't really get this one :( @terenzreignz? what do u think?,

Answers

D. csc^2 x + sec^2 x = 1


The process for each option is to rewrite the equation, attempting to obtain the identity sin^2 x + cos^2 x = 1. In general convert each function to its equivalent using just sin and cos.


A. cos^2 x csc x - csc x = -sin x
cos^2 x * 1/sin x - 1/sin x = -sin x
(cos^2 x * 1/sin x - 1/sin x) * sin x = -sin x * sin x
cos^2 x * 1 - 1 = -sin^2 x
cos^2 x = -sin^2 x + 1
cos^2 x + sin^2 x = 1
Option A is an identity.


B. sin x(cot x + tan x) = sec x
sin x(cos x/sin x + sin x/cos x) = 1/cos x
cos x + sin^2 x/cos x = 1/cos x
cos^2 x + sin^2 x = 1
Option B is an identity.


C. cos^2 x - sin^2 x = 1- 2sin^2 x
cos^2 x - sin^2 x + 2sin^2 x = 1- 2sin^2 x + 2sin^2 x
cos^2 x + sin^2 x = 1
Option C is an identity.


D. csc^2 x + sec^2 x = 1
1/sin^2 x + 1/cos^2 x = 1
cos^2 x/(cos ^2 x sin^2 x) + sin^2 x/(cos^2 x sin^2 x) = 1
(cos^2 x + sin^2 x)/(cos ^2 x sin^2 x) = 1
1/(cos ^2 x sin^2 x) = 1
1 = cos ^2 x sin^2 x
Option D is NOT an identity.


In triangle QRS, QR is congruent to SR and RT bisects QS. What justification can you give for QRT congruent to SRT and give the Triangle Congruence Postulate that supports your reason.
Answers:

Midpoint Theorem, SSS

Given, SSS

Definition of a segment bisector; SSS

Definition of an isosceles triangle, SAS,

Answers

Since RT bisects QS, we have QT congruent to ST. Bisect means it cuts QS in half. The we have RT congruent to RT since it is the same. By SSS, we have triangle QRT congruent to triangle SRT since QT is congruent to ST, RT is congruent to RT, and QR is congruent to SR. Each side is congruent to its respective side in the other triangle and that is SSS (side, side, side).
The answer is Definition of a segment bisector; SSS.
Explanation:

Since RT bisects QS, we have QT congruent to ST. 
 By SSS, we have triangle QRT congruent to triangle SRT
so, since QT is congruent to ST, RT is congruent to RT, and QR is congruent to SR.
All these sides are congruent to each other that gives the proof of "SSS(SIDE, SIDE, SIDE)" 

The musical frequency of notes is decreasing between beat numbers ___ and ___

Answers

the complete question in the attached figure

we have that
between beats 2 and 3----------> (392-261.6)=130.4-------> increases
between beats 3 and 4----------> (392-392)=0-----> it stays with the same value
between beats 4 and 5----------> (444-392)=52--------> increases
between beats 5 and 6----------> (444-444)=0-----> it stays with the same value
between beats 6 and 7----------> (392-444)=-52-------> decreases

the answer is
between beats 6 and 7----------> (392-444)=-52-------> decreases

Two isosceles triangles have the same base length. the legs of one of the triangles are twice as long as the legs of the other. find the lengths of the sides of the triangles of their perimeters are 23 cm and 43 cm.

Answers

Final answer:

To find the lengths of the sides of two isosceles triangles with equal bases and perimeters of 23 cm and 43 cm, we calculate based on the known relations. The smaller triangle has sides of 10 cm and 3 cm, while the larger triangle has sides of 20 cm and 3 cm.

Explanation:

The problem involves two isosceles triangles with the same base length, but the legs of one triangle are twice as long as the other. One triangle has a perimeter of 23 cm, and the other has a perimeter of 43 cm. To solve this, let's denote the common base of both triangles as b, the legs of the smaller triangle as l, and the legs of the larger triangle as 2l.

For the smaller triangle, the perimeter P is given by P = b + l + l or P = b + 2l. For the larger triangle, the perimeter P is P = b + 2l + 2l or P = b + 4l. Since the perimeters are 23 cm and 43 cm respectively, we can set up two equations: b + 2l = 23 and b + 4l = 43.

Solving these simultaneous equations, subtract the first from the second to find 2l = 20, so l = 10. Substituting l = 10 into the first equation gives us b + 20 = 23, thus b = 3.

Therefore, the sides of the smaller triangle are 10 cm (legs) and 3 cm (base), and the sides of the larger triangle are 20 cm (legs) and 3 cm (base).

what is 85% of 2500 meters

Answers

2500*0.85=2125 meters

Which statement is true about the product of a non-zero rational number and an irrational number?
A) The product of a non-zero rational number and an irrational number is always a rational number.
B) The product of a non-zero rational number and an irrational number is never an irrational number.
C) The product of a non-zero rational number and an irrational number is sometimes a rational number.
D) The product of a non-zero rational number and an irrational number is always an irrational number.

Answers

The answer is defiantly D

Natalie opened a bank account that earns 2.5% simple interest. If her account earned $180 over the next ten years, how much was Natalie’s initial deposit when she opened the account?

Answers

Answer: $720.

Step-by-step explanation:

The formula to find the simple interest is given by :-

[tex]I=Prt[/tex], where P is the principal amount , r is the rate of interest in decimal and t is the time in years.

Given : Rate of interest : r= 0.025

Simple interest : I= $180

Time : t=10

Let P be the Natalie’s initial deposit when she opened the account, then we have:-

[tex]180=P(0.025)(10)\\\\\Rightarrow\ P(0.25)=180\\\\\Rightarrow\ P=\dfrac{180}{0.25}=\dfrac{18000}{25}=720[/tex]

Hence, the Natalie’s initial deposit when she opened the account was $720.

For what values of x is x2 + 2x = 24 true?

–6 and –4
–4 and 6
4 and –6
6 and 4

Answers

C. 4 and -6.

You'll subtract the 24 to the other side, causing it to be negative.
Ask yourself.. What plus what equals a positive two, but gives me a negative 24? well, 24 breaks into 12 and 2, or 6 and 4. well 12 subtracted by 2 does not get me 2, it gives me ten. but a positive 6 subtracted by 4 gives me a positive 2, and negative 24.
Hope this helps!! :)

Answer:

C. is the correct answer i took  the quiz

Step-by-step explanation:

which pair of triangles is congruent by AAS?

Answers

pqt rqt are congruent by aas i think 

Answer:

Triangles PQT and RQT are congruent (option D)

Step-by-step explanation:

The AAS or Angle- Angle- Side Theorem says that if two angles and any side of one triangle are congruent to two angles and any side of another triangle, then the triangles are congruent.

So, triangles PQT and RQT are congruent.

Both triangles have angle Q as right angle and angle P and R are also equal. And both have side QT common.

So, these are congruent via AAS.

A 32 ft ladder liens against a building so that the top of the ladder touches the building at a point 23 ft above the ground. To the nearest 10th of a foot how far from the bottom of the building is the bottom of the ladder

A. 27.5 ft
B. 39.4 ft
C. 22.2 ft
D. 30.1 ft

Okay so I’m thinking between C and B. I’m more so C because I did 32 as c and 23 as be so... or it could be the other way around

I just know it’s Pythagorean theorem help. Sending stars

Answers

base =  23^2 + b^2 = 32^2
529 + b^2 = 1024

b^2 = 1024 -529 = 495
b = sqrt(495) = 22.24

Answer = C. 22.2 ft

will give medal to best answer!
The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used.

C = 38°, a = 19, c = 10,

Answers

We have two sides and one angle opposite to one of the known sides.

Begin with applying the Law of Sines to find angle A:
[tex] \frac{sin A }{a} [/tex] = [tex] \frac{sin C }{c} [/tex]

Then, solve for sin A:
sin A = [tex] \frac{a sinC}{c} [/tex]

Now, plug in numbers:
sin A = 19 × sin(38) / 10 = 1.17

We know that it does not exist an angle whose sin is bigger than 1, therefore
no triangle is formed.

Answer:

No triangle is formed

Step-by-step explanation:

took test

Write three to five sentences explaining which levels of production provide Alonzo’s Cycling with the maximum profit.

Answers

The optimal level of production for Alonzo's Cycling is at the point where the profit reaches its peak before starting to decline with further increases in production. This is the level of production that Alonzo's Cycling should aim for to achieve the marginal profit.

To determine which levels of production provide Alonzo's Cycling with the maximum profit, one must consider both the fixed costs and the variable costs associated with production.

The profit for each level of production is calculated by subtracting the total costs (fixed costs plus variable costs) from the total revenue generated by sales. The level of production at which profit is maximized is where the difference between total revenue and total costs is the greatest.

This can be found by analyzing the marginal cost and marginal revenue of production. When marginal revenue equals marginal cost, and if the additional production leads to a decrease in profit, that is the point of maximum profit.

Beyond this point, producing more units would decrease the total profit due to the law of diminishing returns, where the cost of producing additional units exceeds the revenue they generate.

Therefore, the optimal level of production for Alonzo's Cycling is at the point where the profit reaches its peak before starting to decline with further increases in production. This is the level of production that Alonzo's Cycling should aim for to achieve the maximum profit.

Katie decides to sell lemonade to make some money. Katie’s mom said she will double the amount of money she makes. If Katie sells 66 cups of lemonade at $0.75 each, how much money does she make?

Answers

First take 66(.75) to get the number she makes. then tripple that answer to get the number she makes total, as her mom is doubling it. think that if she makes $10, her mom would pay her $20, so she would have $30. just apply it to this problem set.

The answer is $99! :)

Shari plans to bake cherry pies and sell them for $9.50 each how much pies dose she have to sell to make $100 profit

Answers

at less 10 pies. hope this helps

What is 1,400,000 multiplied by 3.5x10^5 expressed in scientific notation?

Answers

4.9x10^11.
One can solve this question by converting 1,400,000 into scientific notation. The equation then becomes --> (1.4x10^6)(3.5x10^5). Then, one can multiply 1.4 by 3.5 and use exponent laws to get x10^11.
1.4x3.5 = 4.9
(10^6)(10^5)=10^11
Therefore, the answer will be 4.9x10^11.

The answer is [tex]\( 4.9 \times 10^{11} \)[/tex].

To solve the given mathematical problem, we will multiply the two numbers and then express the result in scientific notation.

First, let's multiply 1,400,000 by 3.5x10^5 without converting them to scientific notation:

[tex]\[ 1,400,000 \times 3.5 \times 10^5 \][/tex]

[tex]\[ = 1400000 \times 3.5 \times 10^5 \][/tex]

[tex]\[ = 4900000 \times 10^5 \][/tex]

Now, we have the product 4900000. To express this in scientific notation, we must write it as a number between 1 and 10 multiplied by a power of 10. The number 4900000 can be written as 4.9 followed by 11 zeros, which in scientific notation is [tex]\( 4.9 \times 10^{11} \)[/tex].

Therefore, the final answer, expressed in scientific notation, is:

[tex]\[ \boxed{4.9 \times 10^{11}} \][/tex]

HELP FAST - given that ig= x-4 , ik = 9x-19 and jk = 5x+12 find ij, jk and ik

Answers

Answer:

THIS IS WRONG I TOOK THE TEST... DONT KNOW THE ANSWER STILL.

Step-by-step explanation:

What is the 4th term in the sequence of
c(n)=-7+6(n-1)
....Please help ME!!!

Answers

Put 4 where n is and do the arithmetic.
.. c(4) = -7 +6(4 -1)
.. = -7 +18
.. = 11

The 4th term is 11.

What is the quotient (2x3 − 13x2 + 16x − 5) ÷ (x − 5)?


2x2 − 3x + 1

2x2 + 3x − 1

2x2 − 3x − 1

2x2 + 3x + 1

Answers

Answer:

Correct choice is A

Step-by-step explanation:

1 step. Multiply [tex]x-5[/tex] by [tex]2x^2[/tex] to get [tex]2x^3-10x^2[/tex] and subtract this polynomial from the polynomial [tex]2x^3-13x^2+16x-5:[/tex]

[tex]2x^3-13x^2+16x-5-(2x^3-10x^2)=2x^2-13x^2+16x-5-2x^3+10x^2=-3x^2+16x-5.[/tex]

2 step. Multiply [tex]x-5[/tex] by [tex]-3x[/tex] to get [tex]-3x^2+15x[/tex] and subtract this polynomial from the polynomial [tex]-3x^2+16x-5:[/tex]

[tex]-3x^2+16x-5-(-3x^2+15x)=-3x^2+16x-5+3x^2-15x=x-5.[/tex]

3 step.  Multiply [tex]x-5[/tex] by [tex]1[/tex] to get [tex]1[/tex] and subtract this polynomial from the polynomial [tex]x-5:[/tex]

[tex]x-5-(x-5)=x-5-x+5=0.[/tex]

Then

[tex]2x^3-13x^2+16x-5=(x-5)(2x^2-3x+1).[/tex]


Answer:

Correct answer is 2x2 − 3x + 1

Step-by-step explanation:

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Topic: The Orangutan, an Endangered Species Reference: Apes and Monkeys, published 1980 a. does not contain current information on endangered species status b. provides information that is too general a circle has a diameter of 10cm what is the best proximation of this area use 3.14 to approximate for pi The law of reflection states that if the angle of incidence is 38 degrees, the angle of reflection is ___ degrees. Instead of helping the people of the Congo, according to the passage, what did King Leopold actually do? Give at least 3 examples of what he did and how he was able to accomplish these tasks. Help Find X I am lost Milton learning centers is a private firm specializing in helping students with learning problems. located around the country, each center employs a manager and several tutors and counselors. the counselors and tutors have a great deal of flexibility to design programs specifically for individual students. in fact, these first-line employees are considered to be the key people in the organization, and the manager's main function is to assist these employees in matters such as scheduling and securing necessary materials. this type of arrangement suggests that milton is an inverted organization. Carefully read the following case study!!!Mary is a single parent with three children: Sam, 6, John, 4, and Susan, 2. She works a ten-hour shift in a factory that has had recent layoffs and there are rumors of more layoffs soon. The two younger children are in day care and Sam is in the first grade. Sam is responsible for feeding and dressing the younger children in the morning. This particular morning Mary is running late and upon coming into the kitchen she sees Susan dropping cereal on the floor and Sam and John fighting over whether John will eat. A bowl of cereal crashes to the floor and Mary grabs Sam, yells at him and slaps him across the face several times. When Sam arrives at school, the teacher notices red marks and notes that this is the third time she has seen slap-like marks in the last two months. Sam relays the story and confirms that mom slapped him. Using the above scenario, answer the following questions:1. What type of abuse/neglect this might be? 2. What are the effects of this situation? How do each of the characters feel? a. Sam (his feelings about the situation) b. Mary (her feelings about the situation, the teacher, and a possible report) c. Teacher (the teachers feelings about the situation, Sam, Mary and a possible report)3. List the indicators and risk factors that you see in this case. 4. Thinking through some of the disclosure dos and donts in the reading materials, list some appropriate questions that you would utilize to talk with Sam.5. If you were in this situation, what actions would you take? Interpret What did Chief Justice Roberts mean when he stated that the Voting Rights Act "employed extraordinary measures to address an extraordinary problem"? Which city instituted a new law to reduce air pollution after a deadly smog of 1952?A) LondonB) New YorkC) Los AngelesD) Beijing at the school carnival tickets can be exchanged for prizes. Mason wants a comic book that cost a 176 tickets. He needs 8 times as many tickets as he has now. How many tickets does mason have now? Review the scenario. You are trying to convince an audience that folks and spoons should be outlawed n favor of sporks. Your argument is that sporks reduce waste and are more efficient eating utensils. Which tone would be most effective in convincing the reader to adopt this position?A. Use a tone of anger when describing the history of forks and spoons in America.B. Use a tone of frustration when describing how different it is to eat with forks and spoons.C. Use a tone of peace and contentment when describing the waste produced by discarded forks and spoons.D. Use a tone of irritation towards those who have already adopted sporks as their main eating utensil. 1.Which of the following events happened last?A.The Stamp ActB.The Intolerable ActsC.The establishment of the First British colony in the New WorldD.The Writs of Assistance During a phase change the temperature of a substance