one hundred fifty-six thousandths in decimals Can u please answer this ASAP I will give you 20 points

Answers

Answer 1

Here it is: 0.156

That is the decimal representation of 156/1000

Answer 2

.156.

If they are “thousandths” then you know there is 3 decimal places.

Hope this helps!


Related Questions

Which type of triangle will always have exactly 1-fold reflectional symmetry?
a. right triangle
b. obtuse triangle
c. equilateral triangle
d. isosceles triangle

Answers

Answer:

d) Isoceles triangle

Step-by-step explanation:

you can only split it down the middle

Answer:

D. Isosceles Triangle

Step-by-step explanation:

How many solutions does y=5/2x+2 and 2y=5x+4 have

Answers

Answer:

Step-by-step explanation:

y=5/2x+2

2y=5x+4

y=5/2x+2

y=5/2x+2

they are the same line/equation so infinite number of solutions

Consider this equation. 5 8 x = 1 2 x + 2 Generate a plan to solve for the variable. Describe the steps you'll use.

Answers

Answer:

Sample Response: The goal is to get x alone on one side of the equals sign. First, isolate the variable by applying the subtraction property of equality to subtract 1/2x from both sides. Next, find a common denominator to combine like terms. Then use inverse operations to multiply both sides by the reciprocal of the fraction coefficient. The result will be x = 16. Finally, check the solution by substituting 16 for x in the original equation.

Step-by-step explanation:

58x = 12x + 2

58x -12x = 2

46x = 2

x = 2/46 = 0.434

How Equations are Used in Real Life?

There are many situations in which equations can be used. Whenever an unknown quantity has to be found, an equation can be formed and solved.

What is an Equation?

An equality relationship between two expressions written on both sides of the equal to sign.

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what is (28 + 7 + 6 + 3) X 1/2 PLEASE SHOW YOUR WORK

Answers

Answer: 22

Step-by-step explanation:

28 + 7 + 6 + 3 = 44

then multiply it and you end up with 44 over 2 and then you divide it, which is 22!

your answer would be 22.

-- first, do what is in the parenthesis

28 plus 7 is 35; 35 plus 6 is 41; 41 plus 3 is 44.

-- second, 1/2 is another word for splitting in half or dividing by 2. SO, do 44 divided by 2. you get 22.

i hope this helps! please mark brainliest x

What is the following simplified product? Assume

Answers

Answer:

The correct answer option is D. [tex]10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}[/tex].

Step-by-step explanation:

We are given the following expression:

[tex] \left ( \sqrt { 10 x ^ 4 } -x \sqrt { 5 x ^ 2 } \right ) \left ( 2 \sqrt { 15 x ^ 4 } + \sqrt { 3 x ^ 3 } \right ) [/tex]

Assuming that [tex]x\geq 0[/tex], we are to find its simplified product.

[tex] \left ( \sqrt { 10 x ^ 4 } -x \sqrt { 5 x ^ 2 } \right ) \left ( 2 \sqrt { 15 x ^ 4 } + \sqrt { 3 x ^ 3 } \right ) [/tex]

[tex]\\\\ = 2 \sqrt { 150 x ^ 8 } + \sqrt { 3 0 x ^ 7 }-2x\sqrt{75x^6}-x\sqrt{15x^5} \\\\ =2\sqrt{25\times6x^8}+x^3\sqrt{30x}-2x\sqrt{25\times3x^6}-x^3\sqrt{15x} \\\\ =10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}[/tex]

Answer:

The simplified product is:

       [tex]10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}[/tex]

Step-by-step explanation:

The expression is given by:

[tex](\sqrt{10x^4}-x\sqrt{5x^2})(2\sqrt{15x^4}+\sqrt{3x^3})[/tex]

Now we know that:

[tex]\sqrt{x^2}=x\\\\and\\\\\sqrt{x^4}=\sqrt{(x^2)^2}=x^2[/tex]

Hence, we get the expression as follows:

[tex](\sqrt{10x^4}-x\sqrt{5x^2})(2\sqrt{15x^4}+\sqrt{3x^3})=(x^2\sqrt{10}-x\cdot x\sqrt{5})(2x^2\sqrt{15}+x\sqrt{3x})[/tex]

Now, we will use the property that:

[tex](a+b)(c+d)=a(c+d)+b(c+d)[/tex]

Hence, we have the expression as:

[tex]=x^2\sqrt{10}(2x^2\sqrt{15}+x\sqrt{3x})-x^2\sqrt{5}(2x^2\sqrt{15}+x\sqrt{3x})[/tex]

[tex]=2x^4\sqrt{10}\sqrt{15}+x^3\sqrt{10}\sqrt{3x}-2x^4\sqrt{5}\sqrt{15}-x^3\sqrt{5}\sqrt{3x}[/tex]

Now we know that:

[tex]\sqrt{a}\sqrt{b}=\sqrt{ab}[/tex]

i.e. we have:

[tex]=2x^4\sqrt{150}+x^3\sqrt{30x}-2x^4\sqrt{75}-x^3\sqrt{15x}\\\\=2x^4\sqrt{5^2\cdot 6}+x^3\sqrt{30x}-2x^4\sqrt{5^2\cdot 3}-x^3\sqrt{15x}\\\\=10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}[/tex]

What is the inverse of the function f(x) = 2x + 1?

Answers

Answer:

[tex]\large\boxed{f^{-1}(x)=\dfrac{1}{2}x-\dfrac{1}{2}}[/tex]

Step-by-step explanation:

[tex]f(x)=2x+1\to y=2x+1\\\\\text{exchange x to y and vice versa:}\\\\x=2y+1\\\\\text{solve for y:}\\\\2y+1=x\qquad\text{subtract 1 from both sides}\\\\2y=x-1\qquad\text{divide both sides by 2}\\\\y=\dfrac{x-1}{2}=\dfrac{1}{2}x-\dfrac{1}{2}[/tex]

PLEASE HELP 14 POINT QUESTION

Answers

Answer:

Green: 5/9 Red:2/9

Step-by-step explanation:

5/9 times 2/8 = 10/72 or 5/36

1)Which choices shows the statement below in if-then form? Exercise makes you healthier.
A) if you don’t exercise ,then you won’t be healthier.
B) if you are healthy, then you exercise.
C) if you don’t exercise, you won’t be healthier.
D) if you exercise, then you will be healthier.

2) which of the following is a conditional statement for the following statement? Cardinals are red birds.
A) if a bird is not red, then it is not a cardinal.
B) if a cardinal is red, then it is a bird.
C) if a bird is red, it is a cardinal.
D) if a bird is a cardinal, it is red

Answers

Answer:

D for both

Step-by-step explanation:

Exercise is the condition and healthier is the outcome. So if you exercise then you will be healthier.

All cardinals are red. But not all red birds are cardinals. So d is the only one that is always true

1. if you exercise, then you will be healthier.

2. if a bird is a cardinal, it is red

What is Conditional Statement?

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.

Given:

Exercise makes you healthier.

So, we have to write in the form of if- then statement

Thus, the statement is if you exercise, then you will be healthier..

Now, for the second statement "Cardinals are red birds."

The conditional statement is  if a bird is a cardinal, it is red.

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The ratio of AB to BC is _______.

A) 3/1
B) 1/3
C) 2/3
D) 3/2

Answers

B 1/3

Ratio of AB:BC

3 : 9

1 : 3

The ratio of Ab to bc is B.

find the missing number so that it has no solution. __x-8-9x=-4x+8​

Answers

Answer:

The missing number (i.e. the coefficient of x) is 5.

Step-by-step explanation:

5x - 8 - 9x = -4x + 8

-4x - 8 = -4x + 8

-8 ≠ 8

Solve P = 2l + 2w for l.

Answers

Answer:

l = [tex]\frac{P}{2}[/tex] - w

Step-by-step explanation:

P = 2l + 2w

2l = P - 2w

l = [tex]\frac{P}{2}[/tex] - w

(1/9)^2n=27n what is the answer

Answers

Answer:

n=+ -0.0321563225311

translate each phrase into an algebraic expression the quotation of 30 and three times a number​

Answers

Answer:

[tex]\frac{30}{3x}[/tex]

Step-by-step explanation:

Let

x ----> the number

we know that

The phrase " The quotient of 30 and three times a number" is equal to divide the number 30 by the number x multiplied by 3

so

The algebraic expression is equal to

[tex]\frac{30}{3x}[/tex]

The distance Din miles from an observer to the horizon over flat land or water can be estimated using the formula D-123/
where h is the height in feet of the point of observation. How far is the horizon for aperson whose eyes are 6 feet above the
ground?
a about 5.91 mi
c. about 3.01 mi
b. about 2.73 mi
d. about 7.64 mi

Answers

B.) about 2.73 mi is how far the horizon is from a person

Which of the following shows the polynomial below written in descending order? 4x2-x+8x6+3+2x10

Answers

Answer:

2x10 + 8x6 + 4x2 - x + 3

Step-by-step explanation:

it has the same numbers and variables. it is descending because it's starting from the the highest value or biggest variable then goes from greatest to least from there.

Answer:

[tex]2x^{10}+8 x^{6} +4x^{2} -x+3[/tex]

Step-by-step explanation:

The given polynomial is

[tex]4x^{2} -x+8x^{6}+3+2x^{10}[/tex]

A descending order refers to the position of terms, where the "higher term" has the greatest exponent (greatest grade), and we order from greatest to least to have a descending order, as follows

[tex]2x^{10}+8 x^{6} +4x^{2} -x+3[/tex]

Notice that the temrs are placed from greatest expoenent to least.

Therefore, the answer is [tex]2x^{10}+8 x^{6} +4x^{2} -x+3[/tex]

A warehouse is for rent downtown. The rate is $15 per square foot per month. Space measures 40 ft x 22 ft. How much will it cost to rent this warehouse for a year?

Answers

Answer:

[tex]\$158,400[/tex]

Step-by-step explanation:

step 1

Find the area of the warehouse

[tex]A=(40)(22)=880\ ft^{2}[/tex]

step 2

Remember that one year is equal to 12 months

step 3

Find the cost to rent the warehouse for a year

Multiply the area by $15 per square foot per month and then multiply by 12 months

so

[tex]880(15)(12)=\$158,400[/tex]

Answer:

158,400

Step-by-step explanation:

What is the radius of a circle whose equation is x2 + y2 – 10x + 6y + 18 = 0? units

Answers

Answer:15

Step-by-step explanation:

Answer:  The radius of the given circle is 4 units.

Step-by-step explanation:  We are given to find the radius of the circle with the following equation :

[tex]x^2+y^2-10x+6y+18=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We know that

the standard equation of a circle with center at the point (h, k) and radius r units is given by

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

From equation (i), we have

[tex]x^2+y^2-10x+6y+18=0\\\\\Rightarrow (x^2-10x+25)+(y^2+6y+9)-25-9+18=0\\\\\Rightarrow (x-5)^2+(y+3)^2-16=0\\\\\Rightarrow (x-5)^2+(y-(-3))^2=4^2.[/tex]

Comparing it with the standard equation, the radius of the circle is given by

[tex]r=4.[/tex]

Thus, the radius of the given circle is 4 units.

URGENT HELP NEEDED!!!

Answers

Answer:

60

Step-by-step explanation:

There are 5 different ways to choose the first class.

There are 4 classes left to choose from.

There are 4 different ways to choose the second class.

There are 3 classes left to choose from.

There are 3 different ways to chooses the third class.

5*4*3 = 60

Can someone please help me out ?

Answers

Answer:

The Answer is 9

Step-by-step explanation:

To find the answer you divide 63 by 7.

[tex]7m=63\\m=9[/tex]

How is the graph of y = 3(x+ 1)^2 related to its parent function, ? It is translated 1 unit right and compressed vertically by a factor of 3. It is translated 1 unit left and compressed vertically by a factor of 3. It is translated 1 unit right and stretched vertically by a factor of 3. It is translated 1 unit left and stretched vertically by a factor of 3.

Answers

Answer:

"It is translated 1 unit left and stretched vertically by a factor of 3"

Step-by-step explanation:

The parent function here is y = x^2

Let's give out some general rules of transformation:

If y = f(x) is a parent function, then

1. If we have y = a * f(x)

| a | > 1 is a stretch;  

0 < | a | <1 is a compression, vertically for both

and

2. If we have y = f(x-c), this means horizontal translation to right c units and y = f(x+c) means horizontal translation c units left

Looking at y = 3(x+1)^2, we can say that "it is vertical stretch by a factor 3 and horizontal translation 1 units left"

How many solutions does this linear system have?
y = 2x-5
_8x - 4y = -20
one solution: (-2.5, 0)
one solution: (2.5, 0)
Ono solution
O infinite number of solutions

Answers

Answer: C is correct, No solution

Step-by-step explanation:

Let’s simplify the second equation,

8x-4y=-20

We can divide the whole equation by 4...

8x/4-4y/4=-20/4

Which becomes....

2x-y=-5

Now let’s move things around to see if it’s the same equation as the one on top...

-y=-2x-5

y=2x+5

Now we need to solve the systems...

y=2x-5

y=2x+5

Since their slopes are both 2 and their y-intercepts are not identical, the answer is no solution. The two lines will continue on without ever crossing because they have the same slope.

The solution set for the given system of linear equations is -

(2.5, 0).

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is to find the number of solutions that the given linear system of equations have -

y = 2x - 5

- 8x - 4y = -20

We will solve the given system of equations using the method of substitution. We can write -

y = 2x - 5

- 8x - 4y = - 20

- 8x + 20 = 4y

y = - 2x + 5

Now -

2x - 5 = - 2x + 5

4x = 10

x = 2.5

and -

y = 2 x 2.5 - 5

y = 0

Therefore, the solution set for the given system of linear equations is -

(2.5, 0).

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Compare the three functions.

f(x) = 10x
x y
0 0
1 10
2 20
g(x) = 5x
x y
0 1
1 5
2 25
h(x) = 4x2 + 5x
x y
0 0
1 9
2 26

Select the true statement.

A.
As x approaches positive infinity, the quadratic function will exceed both the linear and exponential functions.
B.
As x approaches positive infinity, the exponential function will exceed both the linear and quadratic functions.
C.
As x approaches positive infinity, the linear function will exceed both the quadratic and exponential functions.
D.
As x approaches positive infinity, it cannot be determined which function will exceed the other two.

Answers

Answer:

B.

As x approaches positive infinity, the exponential function will exceed both the linear and quadratic functions. TRUE (Exponential functions increase faster than linear or quadratic)

Step-by-step explanation:

We can easily solve this problem if we plot each graph by using a graphing calculator or any plotting tool.

1st function

f(x) = 10x

2nd function

g(x) = 5^x

3rd function

h(x) = 4x^2 + 5x

Please, see attached graph.

A.

As x approaches positive infinity, the quadratic function will exceed both the linear and exponential functions. FALSE

B.

As x approaches positive infinity, the exponential function will exceed both the linear and quadratic functions. TRUE (Exponential functions increase faster than linear or quadratic)

C.

As x approaches positive infinity, the linear function will exceed both the quadratic and exponential functions.FALSE

D.

As x approaches positive infinity, it cannot be determined which function will exceed the other two.FALSE

Answer:

b

Step-by-step explanation:

just look up

What is the slope of the line represented by the values in the table?

(10,14) (2,-2)

Answers

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (10, 14) and (x₂, y₂ ) = (2, - 2)

m = [tex]\frac{-2-14}{2-10}[/tex] = [tex]\frac{-16}{-8}[/tex] = 2

Answer:

slope =2

Step-by-step explanation:

To find the slope, we use the formula

m = (y2-y1)/(x2-x1)

    = (-2-14)/(2-10)

    = -16/-8

    =2

If f(x) = -4x2 - 6x-1 and g(x) = – x2 - 5x + 3, find (f+ g)(x).

Answers

Answer:

- 5x² - 11x + 2

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= - 4x² - 6x - 1 + (- x² - 5x + 3)

= - 4x² - 6x - 1 - x² - 5x + 3 ← collect like terms

= - 5x² - 11x + 2

Answer:

   -5x^2 -11x +2

Step-by-step explanation:

f(x) = -4x^2 - 6x-1

g(x) = – x^2 - 5x + 3,

Add them together

f(x) =     -4x^2 - 6x-1

+ g(x) = – x^2 - 5x + 3,

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

        -5x^2 -11x +2

3 +0.5(4a + 8) = 9 – 2a

Answers

Answer:

0.5

Step-by-step explanation:

The required simplified value of a is 1/2 .

Given that,
3 +0.5(4a + 8) = 9 – 2a
The simplified value of a is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
3 +0.5(4a + 8) = 9 – 2a
3 + 0.5*4a + 0.5*8 =9 - 2a
3 + 2a + 4 = 9 - 2a
7 - 9 = - 4a
a = 1 / 2

Thus, the required simplified value of a is 1/2.

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The numerator of a fraction is 3 less than the denominator. If 1 is added to both its numerator and denominator, it becomes 2/3. Find the fraction​

Answers

[tex]\dfrac{x-3}{x}[/tex] - initial fraction

[tex]\dfrac{x-3+1}{x+1}=\dfrac{2}{3}\\\\\dfrac{x-2}{x+1}=\dfrac{2}{3}\\\\2(x+1)=3(x-2)\\2x+2=3x-6\\x=8\\\\\dfrac{8-3}{8}=\dfrac{5}{8}[/tex]

It's [tex]\dfrac{5}{8}[/tex]

Find the value of x in each case. Give reasons to justify your solutions!


answer ASAP

Answers

Answer:

x = 19

Step-by-step explanation:

YZ || XW, so ∠Y = ∠W

if ∠Y = ∠W, then ∠W = 2x

since the sum of the angles of a triangle is 180 degrees:

(3x-5) + 2x + 90 = 180

x = 19

Solve for x: -6 < x-1 < 9

Answers

Answer:

- 5 < x < 10

Step-by-step explanation:

Given

- 6 < x - 1 < 9 ( add 1 to each of the 3 intervals )

- 5 < x < 10

The value of x ranges from -5 to 10 as this inequality - 5 < x < 10.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given inequality is -6 < x-1 < 9. The value of x will be calculated as,

x- 1 < 9

x < 10

x- 1 > -6

x > 1 - 6

x > -5

Therefore, the value of x ranges from -5 to 10 as this inequality - 5 < x < 10.

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What are the minimum, first quartile, median, third quartile, and maximum of the data set? 60, 50, 130, 200, 180, 150, 100, 140.

I think the answer is:
Minimum = 50
1st = 85
Median = 135
3rd = 167.50
Maximum = 200

However, none of the choices match my answer. What am I doing wrong?

Answers

Answer:

Minimum = 50

First Quartile = 80

Median = 135

Third Quartile = 165

Maximum = 200

Step-by-step explanation:

First, it is important to reorder our values into ascending order:

50, 60, 100, 130, 140, 150, 180, 200

You've correctly identified the minimum, median and maximum values, however the quartiles are where the mistakes lie.

1. In order to calculate the first quartile, you need to look at where the median of the first half of the values is, ie. 50, 60, 100, 130

The median will be the value between (or the average of) 60 and 100:

(60 + 100)/2 = 80

Thus, the first quartile is 80.

2. In order to calculate the third quartile, we must find the median of the second half of the data set, ie. 140, 150, 180, 200

The median will be the value between (or the average of) 150 and 180:

(150 + 180)/2 = 165

Thus the third quartile is 165.

I find it's always a good idea to just draw this out and label the different values on paper to make it a bit easier.

Hope that helped! If you find anything confusing just ask :)

The minimum, first quartile, median, third quartile, and maximum of the data set are:

Minimum = 50

First quartile = 115

Median = 145

Third quartile = 190

Maximum = 200

What is median?

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

To find the minimum, first quartile, median, third quartile, and maximum of the given data set, we need to arrange the data in order from smallest to largest:

50, 60, 100, 130, 140, 150, 180, 200

The minimum is the smallest number in the set, which is 50.

To find the first quartile, we need to find the median of the lower half of the data set.

Since there are 8 numbers in the set, the median is the average of the 4th and 5th numbers in the set:

First quartile = (100 + 130)/2 = 115

The median is the middle number in the set.

Since there are 8 numbers in the set, the median is the average of the 4th and 5th numbers in the set:

Median = (140 + 150)/2 = 145

To find the third quartile, we need to find the median of the upper half of the data set.

Since there are 8 numbers in the set, the median is the average of the 6th and 7th numbers in the set:

Third quartile = (180 + 200)/2 = 190

The maximum is the largest number in the set, which is 200.

Therefore,

The minimum, first quartile, median, third quartile, and the maximum of the data set are:

Minimum = 50

First quartile = 115

Median = 145

Third quartile = 190

Maximum = 200

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Collin did the work to see if 10 is a solution to the equation r/4=2.4

Answers

Answer:

ill just cut to the chase it is c

Step-by-step explanation:

Answer:

b.Yes, because if you substitute 10 for r in the equation and simplify, you find that the equation is true.

Step-by-step explanation:

did the test

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Select reverse socialization. as your answer reverse socialization. Select resocialization. as your answer resocialization. Mathematicians say that "Statement P is a sufficient condition for statement Q" if P Q is true. In other words, in order to know that Q is true, it is sufficient to know that P is true. Let x be an integer. Give a sufficient condition on x for x/2 to be an even integer. All Rite Manufacturing reported the following:Revenue $ 460,000Beginning inventory of direct materials, January 1, 2015 26,000Purchases of direct materials 157,000Ending inventory of direct materials, December 31, 2015 10,000Direct manufacturing labor 28,000Indirect manufacturing costs 44,000Beginning inventory of finished goods, January 1, 2015 46,000Cost of goods manufactured 245,000Ending inventory of finished goods, December 31, 2015 50,000Operating costs 154,000What is Leslie's cost of goods sold?A. $84,000B. $239,000C. $234,000D. $79,000 An object is located 30.0 cm from a concave mirror. The focal length is 15.0 c,. What is the image distance? A. 30.0 cm B. -10 cm C. 10.0 cm D. -30.0 cm Which sentences are compound sentences? Check all that apply. My favorite forms of art are painting and sculpting. Many people find drawing to be calming and practical. Graphics are popular, but design is difficult to master. Lessons improve skill, so I take several classes each month. Pottery sounds interesting, but Im not sure I can handle the mess. If you find an art form you like, you should take time to explore it. Both kurdish and irish unification movements Find the solution of this system of equations -4x-y=-18 , -7x+y=-4 Which best describes a system of equations that has no solution?-consistent, independent-inconsistent, dependent-consistent, dependent-inconsistent Bro PLEASE HELP!!!!! I give 50pntsWhich event in the history of the Americans with Disabilities Act is anexample of a conflict between different levels and branches of government?A. Some disability experts believed that Social Security lawsdiscouraged disabled people from working.B. The act was reviewed by the House Subcommittee on theConstitution and Civil Justice and the Senate Committee onHealth, Education, Labor, and Pensions.C. In 1990, the federal government spent more than $60 billion ondisability benefits and programs.D. After the Supreme Court restricted the number of people affectedby the act, the National Council on Disability recommended thatCongress revise the law to end the restrictions. What is the cause of romeo despair A playground slide is 8.80 ft long and makes an angle of 25.0 with the horizontal. A 63.0-kg child, initially at the top, slides all the way down to the bottom of the slide. (a) Choosing the bottom of the slide as the reference configuration, what is the system's potential energy when the child is at the top and at the bottom of the slide? What is the change in potential energy as the child slides from the top to the bottom of the slide? (Include the sign of the value in your answer.) Rewrite the Product in Exponential Form : a. a. a. b. b. b. b what is (24x-35q) (56q+78x) Which literary device is used in the lines of this poem? Come with rain, O loud Southwester!Bring the singer, bring the nester;Give the buried flower a dream;Make the settled snow-bank steam;(from "To the Thawing Wind" by Robert Frost)A. personificationB. oxymoronC. allegoryD. pun In which ways are Mercury and Venus similar? Heather, Sarah, Nicky, and Jill each have nine markers. How many markers do they have in all? Predict what would happen if Griffith had mixed some heat-killed type IIIS (virulent) bacteria and some heat-killed type IIR (non-virulent) bacteria and injected these into a mouse.A. The mouse would have contracted pneumonia and died because the type IIIS would have been transformed by the type IIR bacteria.B. The mouse would have contracted pneumonia and died because the type IIR would have been transformed by the type IIIS bacteria.C. The mouse would have lived because the type IIIS bacteria are not pathogenic.D. The mouse would have lived because the type IIR bacteria are not pathogenic.E. The mouse would have lived because only living bacteria can be transformed. how does the author of a culinary wasteland feel about the book fast food nation A long non-conducting hollow cylinder with inner radius, ri and outer radius, r2 is charged with a uniform positive charge with a charge density ?. (a) Use Gauss's Law in differential form for regions outside the cylinder (r >r2) to show that the electric field decreases as 1/r (note that no marks will be awarded for using Gauss's Law in integral form).